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Created April 13, 2019 23:40
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Optimizer Idea: Replace EWMA with Kalman Filter
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Note, this is an exact copy of Jeremy Howard's 09_optimizers notebook. My only addition starts at cell 43 to show how a kalman filter compares with an exponentially weighted moving average in the presence of pure random noise and when a signal (shape) is present in the data. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Optimizer tweaks"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"from exp.nb_08 import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Imagenette data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We grab the data from the previous notebook."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"path = datasets.untar_data(datasets.URLs.IMAGENETTE_160)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"tfms = [make_rgb, ResizeFixed(128), to_byte_tensor, to_float_tensor]\n",
"bs=128\n",
"\n",
"il = ImageList.from_files(path, tfms=tfms)\n",
"sd = SplitData.split_by_func(il, partial(grandparent_splitter, valid_name='val'))\n",
"ll = label_by_func(sd, parent_labeler, proc_y=CategoryProcessor())\n",
"data = ll.to_databunch(bs, c_in=3, c_out=10, num_workers=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then a model:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"nfs = [32,64,128,256]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"cbfs = [partial(AvgStatsCallback,accuracy), CudaCallback,\n",
" partial(BatchTransformXCallback, norm_imagenette)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is the baseline of training with vanilla SGD."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"learn,run = get_learn_run(nfs, data, 0.4, conv_layer, cbs=cbfs)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"train: [1.722537796164883, tensor(0.4031, device='cuda:0')]\n",
"valid: [1.500682861328125, tensor(0.4720, device='cuda:0')]\n"
]
}
],
"source": [
"run.fit(1, learn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Refining the optimizer"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In PyTorch, the base optimizer in `torch.optim` is just a dictionary that stores the hyper-parameters and references to the parameters of the model we want to train in parameter groups (different groups can have different learning rates/momentum/weight decay... which is what lets us do discriminative learning rates).\n",
"\n",
"It contains a method `step` that will update our parameters with the gradients and a method `zero_grad` to detach and zero the gradients of all our parameters.\n",
"\n",
"We build the equivalent from scratch, only ours will be more flexible. In our implementation, the step function loops over all the parameters to execute the step using stepper functions that we have to provide when initializing the optimizer."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"class Optimizer():\n",
" def __init__(self, params, steppers, **defaults):\n",
" # might be a generator\n",
" self.param_groups = list(params)\n",
" # ensure params is a list of lists\n",
" if not isinstance(self.param_groups[0], list): self.param_groups = [self.param_groups]\n",
" self.hypers = [{**defaults} for p in self.param_groups]\n",
" self.steppers = listify(steppers)\n",
"\n",
" def grad_params(self):\n",
" return [(p,hyper) for pg,hyper in zip(self.param_groups,self.hypers)\n",
" for p in pg if p.grad is not None]\n",
"\n",
" def zero_grad(self):\n",
" for p,hyper in self.grad_params():\n",
" p.grad.detach_()\n",
" p.grad.zero_()\n",
"\n",
" def step(self):\n",
" for p,hyper in self.grad_params(): compose(p, self.steppers, **hyper)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To do basic SGD, this what a step looks like:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"def sgd_step(p, lr, **kwargs):\n",
" p.data.add_(-lr, p.grad.data)\n",
" return p"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"opt_func = partial(Optimizer, steppers=[sgd_step])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have changed the optimizer, we will need to adjust the callbacks that were using properties from the PyTorch optimizer: in particular the hyper-parameters are in the list of dictionaries `opt.hypers` (PyTorch has everything in the the list of param groups)."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"class Recorder(Callback):\n",
" def begin_fit(self): self.lrs,self.losses = [],[]\n",
"\n",
" def after_batch(self):\n",
" if not self.in_train: return\n",
" self.lrs.append(self.opt.hypers[-1]['lr'])\n",
" self.losses.append(self.loss.detach().cpu()) \n",
"\n",
" def plot_lr (self): plt.plot(self.lrs)\n",
" def plot_loss(self): plt.plot(self.losses)\n",
"\n",
"class ParamScheduler(Callback):\n",
" _order=1\n",
" def __init__(self, pname, sched_func):\n",
" self.pname,self.sched_func = pname,sched_func\n",
"\n",
" def set_param(self):\n",
" for h in self.opt.hypers:\n",
" h[self.pname] = self.sched_func(self.n_epochs/self.epochs)\n",
" \n",
" def begin_batch(self): \n",
" if self.in_train: self.set_param()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So let's check we didn't break anything and that recorder and param scheduler work properly."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"sched = combine_scheds([0.3, 0.7], [sched_cos(0.3, 0.6), sched_cos(0.6, 0.2)]) "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"cbfs = [partial(AvgStatsCallback,accuracy),\n",
" CudaCallback, Recorder,\n",
" partial(ParamScheduler, 'lr', sched)]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"learn,run = get_learn_run(nfs, data, 0.4, conv_layer, cbs=cbfs, opt_func=opt_func)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"train: [1.7428652013533426, tensor(0.3900, device='cuda:0')]\n",
"valid: [1.39546728515625, tensor(0.5300, device='cuda:0')]\n",
"CPU times: user 2.25 s, sys: 1.33 s, total: 3.58 s\n",
"Wall time: 4.12 s\n"
]
}
],
"source": [
"%time run.fit(1, learn)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"run.recorder.plot_loss()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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0VbUKGENtWS8Fpqpqvog8JiLD3KuNFZF8EVkAjAWud29bCjxO7S+ObOAx9zJzBN6Zu54WUWEM62WXQ/xN18QYnrm8FwuKdvDnj/OdjmOMd0/kqupnwGcHLHvE4/sHgQcPse1rwGvHkDGobSmr4IvFm7hmYEeaRYQ6HccchSHd23Hr4C68NHMVfTvGcVnfZKcjmSBmN3v7uPdyithXrVw9oIPTUcwxuPecdE7q3IaHPljE0k07nY5jgpiVvg+rqVEmZq1jYOc4uibGOh3HHIOw0BBeGNmbls3CufWdXHbaUMzGIVb6Puy7lSUUlu7h6gF2m2YgSIiNZNzVfSjctof737MHt4wzrPR92Dtz1hMfE8F5J9o4O4GiX2ocDw7txhf5m3n9x7VOxzFByErfR23cvof/LfuZK1wpRITZbgokN53SiXMy2vK3z5Yyf/02p+OYIGNt4qMmZxeiwMj+dgE30IgIz1zWi3YtoxgzcT7bd1c6HckEESt9H1RVXcPU7EJOS0sgJS7a6TimEbSMDmfcVX0o3rWXe6cusPP7pslY6fugmctL2LxzL1fZbZoBrVdKK/7v/BP4dlkxr/5gA7OZpmGl74MmZq0nMTaSM7slOh3FNLLrT07lnIy2/P2LZSwo3O50HBMErPR9zIbte5i5vJgrXCk2UUoQEBGevqwnibFRjJk0z+7fN43OWsXHTHFfwL3SJtcOGq2iI3hhZCYbt+/lwfcX2fl906is9H2IXcANXn07xnHvuel8umgTk7ML69/AmKNkpe9DZtgF3KB2y2ldOKVrPH/+OJ+VP+9yOo4JUFb6PmRy1noS7AJu0AoJEZ69ohfNI8IYM3G+jb9vGoWVvo/YtGMPM5YXc4Ur2S7gBrHEFlE8c0Uvlv+8i798usTpOCYAWbv4iKnZRdQoXOmyUzvB7ozjE7n5lE68M2c9X+VvdjqOCTBelb6IDBGR5SJSICIPHGa9y0RERcTlfp0qIntEJM/9Nb6hggeS6hplak4hp6bF06GNXcA1cP+QbnRPasH97y9k8469TscxAaTe0heRUGAcMBTIAEaKSEYd68VSO1Xi3APeWqWqme6vWxogc8D5bmUJG7bvYUQ/O8o3tSLCQvjniN5U7Kvh3vfyqKmx2zhNw/DmSL8/UKCqq1W1EpgMDK9jvceBpwA7LDlCk7PW06Z5BOdktHU6ivEhXRJi+NOwDH4s2MrL3692Oo4JEN6UfhLgeeNwkXvZL0SkN5Ciqp/UsX0nEZkvIrNE5NS6foCIjBaRHBHJKSkp8TZ7QCjeuZdvlhZzWd9kG0LZHOQKVwrn92jH018uZ1HRDqfjmADgTctIHct++X9NEQkBngPurWO9TUAHVe0N3ANMFJEWB/1lqhNU1aWqroSEBO+SB4j3couorlF7AtfUSUT428U9SIiN5M7J89ldWeV0JOPnvCn9IsCzkZKBjR6vY4HuwEwRWQsMBKaLiEtVK1R1K4Cq5gKrgPSGCB4IamqUydnrGdg5js4JMU7HMT6qVXQE/7iiF2u2lvP4J0udjmP8nDelnw2kiUgnEYkARgDT97+pqjtUNV5VU1U1FZgDDFPVHBFJcF8IRkQ6A2mAnZx0+2nVVgpL99hEKaZeJ3eJ53endWFS1nq+tNs4zTGot/RVtQoYA3wJLAWmqmq+iDwmIsPq2fw0YKGILACmAbeoaumxhg4Uk7LW0yo63ObANV6555x0uie14IH3F/LzTrtfwhwd8bUR/Vwul+bk5Dgdo9FtKavgpCe+5dqBqTxy4UF3wBpTp1UlZVzwwvf0S43jzRv6ExJS1yU3E4xEJFdVXfWtZ7eLOOT93CL2VSsj+9sFXOO9LgkxPHxBBt+v3MKbs9c6Hcf4ISt9B6gqk7MLcXVsTVrbWKfjGD9z9YAOnNUtkSc+X8YKG43THCErfQfMWV3Kmi3ldgHXHBUR4e+X9aRFVBh3Ts6jospG4zTes9J3wMSs9cRGhXF+j/ZORzF+Kj4mkqcu68nSTTt59qsVTscxfsRKv4ltLavgi8WbuLRPMs0iQp2OY/zYmd3actWADkz4fjVzVm91Oo7xE1b6Tez9ebUXcG12LNMQHr7gBFLbNOfeqQtsUnXjFSv9JqSqTMqqvYCbbhdwTQOIjgjjuSsz2bxzL49+lO90HOMHrPSb0OxVW1mzpdyO8k2DykxpxR1nduWD+Rv4ZOHG+jcwQc1Kvwm9m7Wels3C7QKuaXC3n9GVXimteOiDxTbpijksK/0msqWsgq/yN3Npn2Siwu0CrmlY4aEhPHdFLyqravj9tAU26Yo5JCv9JvJezv4LuPYErmkcnRNieOiCE/h+5Rbemr3W6TjGR1npN4GaGmVi1joGdIqja6JdwDWN5+oBHRh8fAJPfL6MgmJ7WtcczEq/CcxaWUJh6R6uGdjR6SgmwIkIT13Wk+iIUO6esoB91TVORzI+xkq/Cbwzex3xMZE2hLJpEomxUfzt4h4s2rCDF79d6XQc42Os9BtZ0bbd/G95MSP6pdgcuKbJDO3Rnkv6JDFu5irmrd/mdBzjQ7xqIREZIiLLRaRARB44zHqXiYiKiMtj2YPu7ZaLyHkNEdqfTMpajwAj7d5808T+NOxE2rWI4p4peTa3rvlFvaXvnu5wHDAUyABGishBs36ISCwwFpjrsSyD2ukVTwSGAP/eP31iMKisqmFKdiFndkskqVUzp+OYINMiKpxnLu/FutLd/O0zm1vX1PLmSL8/UKCqq1W1EpgMDK9jvceBpwDPJ0OGA5PdE6SvAQrcf19Q+DJ/M1vKKu0CrnHMSV3acNOgTrwzZz0zlxc7Hcf4AG9KPwko9Hhd5F72CxHpDaSo6idHum0ge2v2WjrERXNaWoLTUUwQu++840lvG8P90xayrbzS6TjGYd6Ufl2TcP7yuJ+IhADPAfce6bYef8doEckRkZySkhIvIvm+/I07yF67jetO6mjzmBpHRYWH8tyVmWzbXcnDHy7G1+bFNk3Lm9IvAjwfI00GPEd1igW6AzNFZC0wEJjuvphb37YAqOoEVXWpqishITCOit/8aS3NwkO53GVP4BrnnXhcS+4+J51PF23iozwblC2YeVP62UCaiHQSkQhqL8xO3/+mqu5Q1XhVTVXVVGAOMExVc9zrjRCRSBHpBKQBWQ3+KXzMtvJKPsrbyMV9kmjZLNzpOMYA8LvTutAvtTV//GgxG7fvcTqOcUi9pa+qVcAY4EtgKTBVVfNF5DERGVbPtvnAVGAJ8AVwu6oG/ISek7MLqaiqYdRJqU5HMeYXoSHCPy7PpKZGue89G5QtWImvnd9zuVyak5PjdIyjVlVdw+lPz6RDXDSTRg90Oo4xB5mctZ4H/ruIR36TwY2ndHI6jmkgIpKrqq761rNHRBvYN0uL2bB9D6NOTnU6ijF1urJfCmefkMiTXyxj5c82KFuwsdJvYK/9uIakVs04+4REp6MYUycR4YlLehIbGcbdU/OorLJB2YKJlX4DWli0naw1pdwwKJWwUPtHa3xXQmwkf7ukB4s37OQFG5QtqFgzNaBXvl9DTGQYV/az2zSN7zvvxHZc4Urm3zMLyF1X6nQc00Ss9BvIxu17+HTRJkb0SyE2ym7TNP7hkQtPJKl1M+6esoCyChuULRhY6TeQN35aC8D1g1IdzWHMkYiJDOPZKzIp3Labv3yyxOk4pglY6TeAsooqJs1dz9Du7UhuHe10HGOOSL/UOG45vQuTswv5esnPTscxjcxKvwFMyS5kV0UVN5/a2ekoxhyVu89OJ6N9Cx54fyEluyqcjmMakZX+MaqsquHV71fTL7U1mSmtnI5jzFGJCAvh+RGZ7Kqo4oH3F9qgbAHMSv8YfZi3gY079nLbGV2djmLMMUlvG8sDQ7rx7bJiJmatdzqOaSRW+segukYZP2sVGe1bMDg9MEYHNcHt+pNTOaVrPH/5ZCmrS8qcjmMagZX+MfgyfzOrS8q57YwuiNiY+cb/hYQIz1zei4iwEO6ekse+antaN9BY6R8lVWXcjAI6xTdnaPf2TscxpsG0axnFE5f0YEHRDl60p3UDjpX+Ufpu5RbyN+7kltM7E2ozY5kAc36P9lzaJ5l/zbCndQONlf5RUFVe/HYl7VpEcXHvZKfjGNMo/jQsg+NaNeOuKXns2rvP6TimgVjpH4XvVm4hZ902bj+jCxFh9o/QBKbYqHCevzKTDdv28Oj0fKfjmAbiVWOJyBARWS4iBSLyQB3v3yIii0QkT0R+EJEM9/JUEdnjXp4nIuMb+gM0NVXl2a+Wk9SqGVfYwGomwLlS4xhzZhr/nbeBjxfY3LqBoN7SF5FQYBwwFMgARu4vdQ8TVbWHqmYCTwHPery3SlUz3V+3NFRwp3yztJgFRTsYe1ZXIsNCnY5jTKMbe2ZXendoxUMfLGKDza3r97w50u8PFKjqalWtBCYDwz1XUNWdHi+bAwH5OF9NjfLs1yvo2CaaS/rYuXwTHMJCQ3j+ykyqa5R7puRRbXPr+jVvSj8JKPR4XeRe9isicruIrKL2SH+sx1udRGS+iMwSkVOPKa3DvsjfzNJNO7nzrDTCbZIUE0Q6tmnOn4d3Z+6aUsbPWuV0HHMMvGmuuu5HPOhXvaqOU9UuwB+Ah92LNwEdVLU3cA8wUURaHPQDREaLSI6I5JSUlHifvgntq67hma+W0yWhOcMzD/qdZ0zAu7RPEhf2Oo7nvl5BXuF2p+OYo+RN6RcBnlcsk4HDXdGZDFwEoKoVqrrV/X0usApIP3ADVZ2gqi5VdSUk+OZwBu/OWcfqknIeHHqC3ZdvgpKI8JeLutO2RRR3Tp5vk674KW9KPxtIE5FOIhIBjACme64gImkeLy8AVrqXJ7gvBCMinYE0YHVDBG9KO3bv4/lvV3JylzacZROemyDWslk4z4/IpLB0N498tNjpOOYo1Fv6qloFjAG+BJYCU1U1X0QeE5Fh7tXGiEi+iORRexpnlHv5acBCEVkATANuUVW/e7zvhf+tZMeefTx8QYaNsWOCXr/UOO5w38b54fwNTscxR0h8bdxsl8ulOTk5Tsf4xZot5Zz73Cwu7ZPMk5f2dDqOMT6hqrqGkS/PYemmXXw69hQ6tmnudKSgJyK5quqqbz27BaUef/10KRGhIdxz7kGXIowJWmGhITw/ojchAmMn22ic/sRK/zC+WLyJb5b+zB1npZEYG+V0HGN8SlKrZvz90p4sKNzOM18tdzqO8ZKV/iHs3LuPRz7KJ6N9C24+pZPTcYzxSUN7tOeqAR34z6zVzFrhm7dbm1+z0j+Ev3++jC1lFTxxSQ/C7EEsYw7pkd9kcHzbWO6Zkkfxzr1OxzH1sDarQ/baUt6du57rT+5EL5vs3JjDigoP5V9X9aa8soq7bJgGn2elf4DdlVX84f2FJLVqxr128dYYr6S1jeWxYd35adVW/j2jwOk45jCs9A/w6Ef5rNlSzlOX9aR5ZJjTcYzxG5e7khmeeRzPfbOCOau3Oh3HHIKVvoeP8jbwXm4Rtw/uyqCu8U7HMcaviAh/vbgHqW2aM3bSfLaUVTgdydTBSt9t7ZZyHvpgMa6Orbnr7LT6NzDGHCQmMoxxV/dhx5593D0ljxo7v+9zrPSB8ooqbp84jxCBf47sbXfrGHMMTmjfgj8NO5HvV25hnJ3f9zlB325V1TWMmTiPpZt28vyITJJaNXM6kjF+b0S/lF/O7/9UsMXpOMZDUJe+qvLHjxYzY3kJj1/UnTO7tXU6kjEBQUT428U96JwQw9jJ8/nZ7t/3GUFd+v/6XwGTsgq5bXAXrh7Q0ek4xgSU5pFhvHR1H8orqhkzcZ6Nz+MjgrL0VZUnP1/GP75ewcW9k/j9ecc7HcmYgJTWNpYnL+1B9tptPP2ljc/jC4LuRvR91TX8YdpC/jt/A9cM7MCfh3W3MfKNaUTDM5PIXlvKhO9W0zulFUN7tHc6UlALqtLftGMP9723gB8LtnLfuencfkZXK3xjmsAff5PB4g07ue+9BaS1jaVrYozTkYKWV6d3RGSIiCwXkQIReaCO928RkUUikiciP4hIhsd7D7q3Wy4i5zVkeG/V1CjvzFnHOc9+R+66bTx1WU/GnJlmhW9ME4kMC+Wla/oQFR7KLe/k2vy6Dqq39N1z3I4oT1i7AAAOcElEQVQDhgIZwEjPUnebqKo9VDUTeAp41r1tBrVz6p4IDAH+vX/O3Kawd1810xds5NLxP/Hwh4vpldKSr+46nStcKfVvbIxpUO1bNuPFkb1ZXVLG/dMW4Guz9gULb07v9AcKVHU1gIhMBoYDS/avoKo7PdZvDuzfm8OByapaAawRkQL33ze7AbL/yr7qGlaXlLO+dDeFpbtZWVzG54s3sX33PpJbN+OpS3tyuSvZju6NcdDJXeP5w5BuPPH5Ml6atYrbBnd1OlLQ8ab0k4BCj9dFwIADVxKR26mdFD0CONNj2zkHbJt0VEnrsa28kvOe/+6X1zGRYZx+fAIj+qUwqEs8ISFW9sb4gtGndWbRhh08/eVyMtq3YPDxiU5HCirelH5dbXnQ/5ep6jhgnIhcBTwMjPJ2WxEZDYwG6NChgxeRDpYQG8mLI3vTIS6alLhoWkeH21G9MT5IRHjqsp4UFJcxdtJ8Pr7DJlZvSt5cyC0CPE+CJwMbD7P+ZOCiI9lWVSeoqktVXQkJCV5EOpiIcGGv4+iV0oq45hFW+Mb4sOiIMCZc60JE+O1bOXZhtwl5U/rZQJqIdBKRCGovzE73XEFEPIelvABY6f5+OjBCRCJFpBOQBmQde2xjjL/r0Caaf1/dh1Ul5dw12UbkbCr1lr6qVgFjgC+BpcBUVc0XkcdEZJh7tTEiki8iedSe1x/l3jYfmErtRd8vgNtVtboRPocxxg8N6hrPHy84gW+W/swzX9kTu01BfO22KZfLpTk5OU7HMMY0EVXl/z5YxKSsQv45IpPhmY1yr0fAE5FcVXXVt15Qjr1jjPEdIsKfh3Wnf2ocv5+2kHnrtzkdKaBZ6RtjHBcRFsL4a/vSrkUUo9/KobB0t9ORApaVvjHGJ8Q1j+C16/tRUVXDzW/msGvvPqcjBSQrfWOMz+iaGMNLV/eloKSMMRPnU2Vj8Dc4K31jjE85JS2ev1zUnVkrSnj4w8U2Rk8DC6qhlY0x/mFk/w4UbdvNuBmrSG7djDFnptW/kfGKlb4xxifdd+7xbNy+l2e+WsFxrZpxSZ9kpyMFBCt9Y4xPEhH+fmlPft65l/unLSQ+JpLT0o9umBbz/9k5fWOMz9p/K2da21hueSeXvMLtTkfye1b6xhif1iIqnDdv6EebmAhueD2LVSVlTkfya1b6xhifl9giirdvHECICNe9msXG7XucjuS3rPSNMX4hNb45b97Yn5179nHNK3PZUlbhdCS/ZKVvjPEb3ZNa8toN/di4Yw/XvprFjt321O6RstI3xviVfqlxTLjWxariMq5/I8smYDlCVvrGGL9zWnoCL4zszcKiHdzwehblVvxes9I3xvilId3b8cKI3sxbv50b3shmd6UVvze8Kn0RGSIiy0WkQEQeqOP9e0RkiYgsFJFvRaSjx3vVIpLn/pp+4LbGGHO0LujZnuevzCRnbSk3WvF7pd7SF5FQYBwwFMgARopIxgGrzQdcqtoTmAY85fHeHlXNdH8NwxhjGtCFvY7juSszyVpTyqjXsmxI5np4c6TfHyhQ1dWqWglMBoZ7rqCqM1R1/6wHcwAbJMMY02SGZybx4sg+zF+/nWvsrp7D8qb0k4BCj9dF7mWHchPwucfrKBHJEZE5InJRXRuIyGj3OjklJSVeRDLGmF+7oGd7XrqmL0s37mTky3PsPv5D8Kb0pY5ldQ5wLSLXAC7gaY/FHdyT9V4FPC8iXQ76y1QnqKpLVV0JCTagkjHm6JyT0ZaXR7lYvaWMy8fPtmkX6+BN6RcBKR6vk4GNB64kImcDDwHDVPWXX7GqutH952pgJtD7GPIaY8xhnZ6ewLs3D2BrWQWXjf+J5Zt3OR3Jp3hT+tlAmoh0EpEIYATwq7twRKQ38B9qC7/YY3lrEYl0fx8PDAKWNFR4Y4ypS9+OcUy95SRU4fLxPzF39VanI/mMektfVauAMcCXwFJgqqrmi8hjIrL/bpyngRjgvQNuzTwByBGRBcAM4ElVtdI3xjS6bu1a8P6tJxMfG8m1r2bxUd4GpyP5BPG1+SddLpfm5OQ4HcMYEyC2767kd2/nMndNKfedm87tZ3RFpK5Llf5NRHLd108Py57INcYEtFbREbx1U38uyjyOZ75awd1T8ti7r9rpWI6x6RKNMQEvMiyU567MpEtCDP/4egWrt5Tzn2v70r5lM6ejNTk70jfGBAUR4Y6z0phwbV9WFZdx4Ys/BuUFXit9Y0xQOffEdnxw+yBio8K46pW5jJ+1ipoa37q22Zis9I0xQSe9bSzTxwxiyIntePLzZYx+O4dt5ZVOx2oSVvrGmKAUGxXOv67qzZ+HncisFSUM+ed3/LByi9OxGp2VvjEmaIkIo05O5YPbBhEbFc41r87l8U+WBPTdPVb6xpig1z2pJR+POYXrTurIqz+s4fwXvid7banTsRqFlb4xxgDNIkJ5bHh33r6pP5VVNVw+fjaPfLQ44Mbnt9I3xhgPp6Yl8OVdp3H9yam8PWcdZ/5jFv+dV4SvjV5wtKz0jTHmAM0jw/jTsBP58LZBHNeqGfdMXcBl42eTV7jd6WjHzErfGGMOoVdKKz649WSeurQn67aWc9G4H7nl7VwKisucjnbUbBgGY4w5jJAQ4Yp+KZzfsz2vfr+GCd+t4qslmxmemcStg7uQ3jbW6YhHxEbZNMaYI7C1rILxs1bx7tz17K6s5uwT2nLzqZ0Y0CnO0dE7vR1l00rfGGOOwrbySt6cvZY3flrL9t37SEuM4eoBHbi4dzIto8ObPE+Dlr6IDAH+CYQCr6jqkwe8fw9wM1AFlAA3quo693ujgIfdq/5FVd883M+y0jfG+JM9ldV8vHAj785Zx4KiHYSHCqenJzI88zjO7JZI88imOYveYKUvIqHACuAcaufLzQZGes6AJSJnAHNVdbeI3AoMVtUrRSQOyKF2snQFcoG+qrrtUD/PSt8Y468WFe3gw7wNfLJwIz/vrCAiNIQBneM4PT2BQV3jSW8bS2hI45wC8rb0vfkV1B8ocE9sjohMBobjMdetqs7wWH8OcI37+/OAr1W11L3t18AQYJI3H8IYY/xJj+SW9Ehuyf+dfwJZa0r537Kfmbm8hL98uhSAmMgweqW0pPtxLemSGEPXxBg6xEUTFx1BSCP9MjiQN6WfBBR6vC4CBhxm/ZuAzw+zbdKRBDTGGH8TGiKc1KUNJ3Vpw0MXQNG23WSvLWXeuu3MW7+N139cS2V1zS/rh4UI8TGR9OsUx4sjezdqNm9Kv65fP3WeExKRa6g9lXP6kWwrIqOB0QAdOnTwIpIxxviP5NbRJLeO5uLeyQBUVddQuG0PBcVlbNi2m5KyCop3VpAQG9noWbwp/SIgxeN1MrDxwJVE5GzgIeB0Va3w2HbwAdvOPHBbVZ0ATIDac/peZDLGGL8VFhpCp/jmdIpv3uQ/25sncrOBNBHpJCIRwAhguucKItIb+A8wTFWLPd76EjhXRFqLSGvgXPcyY4wxDqj3SF9Vq0RkDLVlHQq8pqr5IvIYkKOq04GngRjgPffDCetVdZiqlorI49T+4gB4bP9FXWOMMU3PHs4yxpgA4O0tmzbgmjHGBBErfWOMCSJW+sYYE0Ss9I0xJohY6RtjTBDxubt3RKQEWHcMf0U8sKWB4viLYPvMwfZ5wT5zsDiWz9xRVRPqW8nnSv9YiUiON7ctBZJg+8zB9nnBPnOwaIrPbKd3jDEmiFjpG2NMEAnE0p/gdAAHBNtnDrbPC/aZg0Wjf+aAO6dvjDHm0ALxSN8YY8whBEzpi8gQEVkuIgUi8oDTeRqDiKSIyAwRWSoi+SJyp3t5nIh8LSIr3X+2djprQxORUBGZLyKfuF93EpG57s88xT3sd8AQkVYiMk1Elrn390mBvp9F5G73v9eLRWSSiEQF2n4WkddEpFhEFnssq3O/Sq0X3J22UET6NESGgCh99+Tt44ChQAYwUkQynE3VKKqAe1X1BGAgcLv7cz4AfKuqacC37teB5k5gqcfrvwPPuT/zNmqn6Qwk/wS+UNVuQC9qP3vA7mcRSQLGAi5V7U7tMO4jCLz9/Aa184R7OtR+HQqkub9GAy81RICAKH08Jm9X1Upg/+TtAUVVN6nqPPf3u6gtgiRqP+ub7tXeBC5yJmHjEJFk4ALgFfdrAc4EprlXCajPLCItgNOAVwFUtVJVtxPg+5na+T2aiUgYEA1sIsD2s6p+Bxw4p8ih9utw4C2tNQdoJSLtjzVDoJR+0E3ALiKpQG9gLtBWVTdB7S8GING5ZI3ieeB+YP9M0m2A7apa5X4daPu7M1ACvO4+pfWKiDQngPezqm4AngHWU1v2O4BcAns/73eo/doovRYope/15O2BQERigPeBu1R1p9N5GpOI/AYoVtVcz8V1rBpI+zsM6AO8pKq9gXIC6FROXdznsYcDnYDjgObUnt44UCDt5/o0yr/ngVL6Xk3eHghEJJzawn9XVf/rXvzz/v/tc/9ZfKjt/dAgYJiIrKX2tN2Z1B75t3KfBoDA299FQJGqznW/nkbtL4FA3s9nA2tUtURV9wH/BU4msPfzfofar43Sa4FS+vVO3h4I3OeyXwWWquqzHm9NB0a5vx8FfNTU2RqLqj6oqsmqmkrtfv2fql4NzAAuc68WaJ95M1AoIse7F50FLCGA9zO1p3UGiki0+9/z/Z85YPezh0Pt1+nAde67eAYCO/afBjomqhoQX8D5wApgFfCQ03ka6TOeQu3/3i0E8txf51N7jvtbYKX7zzinszbS5x8MfOL+vjOQBRQA7wGRTudr4M+aCeS49/WHQOtA38/An4FlwGLgbSAy0PYzMInaaxb7qD2Sv+lQ+5Xa0zvj3J22iNo7m445gz2Ra4wxQSRQTu8YY4zxgpW+McYEESt9Y4wJIlb6xhgTRKz0jTEmiFjpG2NMELHSN8aYIGKlb4wxQeT/AXDKtRlJEWYNAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"run.recorder.plot_lr()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Weight decay"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By letting our model learn high parameters, it might fit all the data points in the training set with an over-complex function that has very sharp changes, which will lead to overfitting.\n",
"\n",
"<img src=\"images/overfit.png\" alt=\"Fitting vs over-fitting\" width=\"600\">\n",
"\n",
"Weight decay comes from the idea of L2 regularization, which consists in adding to your loss function the sum of all the weights squared. Why do that? Because when we compute the gradients, it will add a contribution to them that will encourage the weights to be as small as possible."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Limiting our weights from growing too much is going to hinder the training of the model, but it will yield to a state where it generalizes better. Going back to the theory a little bit, weight decay (or just `wd`) is a parameter that controls that sum of squares we add to our loss:\n",
"``` python\n",
"loss_with_wd = loss + (wd/2) * (weights**2).sum()\n",
"```\n",
"\n",
"In practice though, it would be very inefficient (and maybe numerically unstable) to compute that big sum and add it to the loss. If you remember a little bit of high schoool math, you should now that the derivative of `p**2` with respect to `p` is simple `2*p`, so adding that big sum to our loss is exactly the same as doing\n",
"``` python\n",
"weight.grad += wd * weight\n",
"```\n",
"\n",
"for every weight in our model, which is equivalent to (in the case of vanilla SGD) updating the parameters\n",
"with\n",
"``` python\n",
"weight = weight - lr*(weight.grad + wd*weight)\n",
"```\n",
"\n",
"This last formula explains why the name of this technique is weight decay, as each weight is decayed by a factor `lr * wd`. \n",
"\n",
"This only works for standard SGD, as we have seen that with momentum, RMSProp or in Adam, the update has some additional formulas around the gradient. In those cases, the formula that comes from L2 regularization:\n",
"``` python\n",
"weight.grad += wd * weight\n",
"```\n",
"is different than weight decay\n",
"``` python\n",
"new_weight = weight - lr * weight.grad - lr * wd * weight\n",
"```\n",
"\n",
"Most libraries use the first one, but as it was pointed out in [Decoupled Weight Regularization](https://arxiv.org/pdf/1711.05101.pdf) by Ilya Loshchilov and Frank Hutter, it is better to use the second one with the Adam optimizer, which is why fastai made it its default."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Weight decay is subtracting `lr*wd*weight` from the weights. We need this function to have an attribute `_defaults` so that we are sure there is an hyper-parameter of the same name in our `Optimizer`."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"def weight_decay(p, lr, wd, **kwargs):\n",
" p.data.mul_(1 - lr*wd)\n",
" return p\n",
"weight_decay._defaults = dict(wd=0.)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"L2 regularization is adding `wd*weight` to the gradients."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"def l2_reg(p, lr, wd, **kwargs):\n",
" p.grad.data.add_(wd, p.data)\n",
" return p\n",
"l2_reg._defaults = dict(wd=0.)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's allow steppers to add to our `defaults` (which are the default values of all the hyper-parameters). This helper function adds in `dest` the key/values it finds while going through `os` and applying `f` when they was no `key` of the same name."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"def maybe_update(os, dest, f):\n",
" for o in os:\n",
" for k,v in f(o).items():\n",
" if k not in dest: dest[k] = v\n",
"\n",
"def get_defaults(d): return getattr(d,'_defaults',{})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is the same as before, we just take the default values of the steppers when none are provided in the kwargs."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"class Optimizer():\n",
" def __init__(self, params, steppers, **defaults):\n",
" self.steppers = listify(steppers)\n",
" maybe_update(self.steppers, defaults, get_defaults)\n",
" # might be a generator\n",
" self.param_groups = list(params)\n",
" # ensure params is a list of lists\n",
" if not isinstance(self.param_groups[0], list): self.param_groups = [self.param_groups]\n",
" self.hypers = [{**defaults} for p in self.param_groups]\n",
"\n",
" def grad_params(self):\n",
" return [(p,hyper) for pg,hyper in zip(self.param_groups,self.hypers)\n",
" for p in pg if p.grad is not None]\n",
"\n",
" def zero_grad(self):\n",
" for p,hyper in self.grad_params():\n",
" p.grad.detach_()\n",
" p.grad.zero_()\n",
"\n",
" def step(self):\n",
" for p,hyper in self.grad_params(): compose(p, self.steppers, **hyper)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"#export \n",
"sgd_opt = partial(Optimizer, steppers=[weight_decay, sgd_step])"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"learn,run = get_learn_run(nfs, data, 0.4, conv_layer, cbs=cbfs, opt_func=sgd_opt)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Before trying to train, let's check the behavior works as intended: when we don't provide a value for `wd`, we pull the corresponding default from `weight_decay`."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"model = learn.model"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"opt = sgd_opt(model.parameters(), lr=0.1)\n",
"test_eq(opt.hypers[0]['wd'], 0.)\n",
"test_eq(opt.hypers[0]['lr'], 0.1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But if we provide a value, it overrides the default."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"opt = sgd_opt(model.parameters(), lr=0.1, wd=1e-4)\n",
"test_eq(opt.hypers[0]['wd'], 1e-4)\n",
"test_eq(opt.hypers[0]['lr'], 0.1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's fit."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"cbfs = [partial(AvgStatsCallback,accuracy), CudaCallback]"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"learn,run = get_learn_run(nfs, data, 0.3, conv_layer, cbs=cbfs, opt_func=partial(sgd_opt, wd=0.01))"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"train: [1.8063122261323097, tensor(0.3719, device='cuda:0')]\n",
"valid: [1.7521898193359375, tensor(0.3760, device='cuda:0')]\n"
]
}
],
"source": [
"run.fit(1, learn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is already better than the baseline!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## With momentum"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Momentum requires to add some state. We need to save the moving average of the gradients to be able to do the step and store this inside the optimizer state. To do this, we introduce statistics. Statistics are object with two methods:\n",
"- `init_state`, that returns the initial state (a tensor of 0. for the moving average of gradients)\n",
"- `update`, that updates the state with the new gradient value\n",
"\n",
"We also read the `_defaults` values of those objects, to allow them to provide default values to hyper-parameters."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"class StatefulOptimizer(Optimizer):\n",
" def __init__(self, params, steppers, stats=None, **defaults): \n",
" self.stats = listify(stats)\n",
" maybe_update(self.stats, defaults, get_defaults)\n",
" super().__init__(params, steppers, **defaults)\n",
" self.state = {}\n",
" \n",
" def step(self):\n",
" for p,hyper in self.grad_params():\n",
" if p not in self.state:\n",
" #Create a state for p and call all the statistics to initialize it.\n",
" self.state[p] = {}\n",
" maybe_update(self.stats, self.state[p], lambda o: o.init_state(p))\n",
" state = self.state[p]\n",
" for stat in self.stats: state = stat.update(p, state, **hyper)\n",
" compose(p, self.steppers, **state, **hyper)\n",
" self.state[p] = state"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"class Stat():\n",
" _defaults = {}\n",
" def init_state(self, p): raise NotImplementedError\n",
" def update(self, p, state, **kwargs): raise NotImplementedError "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here is an example of `Stat`:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"class AverageGrad(Stat):\n",
" _defaults = dict(mom=0.9)\n",
"\n",
" def init_state(self, p): return {'grad_avg': torch.zeros_like(p.grad.data)}\n",
" def update(self, p, state, mom, **kwargs):\n",
" state['grad_avg'].mul_(mom).add_(p.grad.data)\n",
" return state"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we add the momentum step (instead of using the gradients to perform the step, we use the average)."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"def momentum_step(p, lr, grad_avg, **kwargs):\n",
" p.data.add_(-lr, grad_avg)\n",
" return p"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"sgd_mom_opt = partial(StatefulOptimizer, steppers=[momentum_step,weight_decay],\n",
" stats=AverageGrad(), wd=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"learn,run = get_learn_run(nfs, data, 0.3, conv_layer, cbs=cbfs, opt_func=sgd_mom_opt)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"train: [1.7427397796455715, tensor(0.3994, device='cuda:0')]\n",
"valid: [3.358787353515625, tensor(0.2160, device='cuda:0')]\n"
]
}
],
"source": [
"run.fit(1, learn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Momentum experiments"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What does momentum do to the gradients exactly? Let's do some plots to find out!"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"x = torch.linspace(-4, 4, 200)\n",
"y = torch.randn(200) + 0.3\n",
"betas = [0.5, 0.7, 0.9, 0.99]\n",
"taus=[1 ,0.1 ,0.01 , 0.001]"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"def plot_mom(f):\n",
" _,axs = plt.subplots(2,2, figsize=(12,8))\n",
" for beta,ax in zip(betas, axs.flatten()):\n",
" ax.plot(y, linestyle='None', marker='.')\n",
" avg,res = None,[]\n",
" for i,yi in enumerate(y):\n",
" avg,p = f(avg, beta, yi, i)\n",
" res.append(p)\n",
" ax.plot(res, color='red')\n",
" ax.set_title(f'beta={beta}')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is the regular momentum."
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def mom1(avg, beta, yi, i): \n",
" if avg is None: avg=yi\n",
" res = beta*avg + yi\n",
" return res,res\n",
"plot_mom(mom1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As we can see, with a too high value, it may go way too high with no way to change its course.\n",
"\n",
"Another way to smooth noisy data is to do an exponentially weighted moving average. In this case, there is a dampening of (1-beta) in front of the new value, which is less trusted than the current average."
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"def ewma(v1, v2, beta): return beta*v1 + (1-beta)*v2"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def mom2(avg, beta, yi, i):\n",
" if avg is None: avg=yi\n",
" avg = ewma(avg, yi, beta)\n",
" return avg, avg\n",
"plot_mom(mom2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see it gets to a zero-constant when the data is purely random. If the data has a certain shape, it will get that shape (with some delay for high beta)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot Kalman Filter vs EWMA"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"from pykalman import KalmanFilter\n",
"#Note you can install pykalman with conda install -c conda-forge pykalman\n",
"import pandas as pd\n",
"\n",
"def kalman_filter(tau,ys):\n",
" kf = KalmanFilter(transition_matrices = [1],\n",
" observation_matrices = [1],\n",
" initial_state_mean = 0,\n",
" initial_state_covariance = 10,\n",
" observation_covariance=1,\n",
" transition_covariance=tau)\n",
" \n",
" state_means, state_variances = kf.filter(ys)\n",
" return state_means"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"def plot_kalman():\n",
" _,axs = plt.subplots(2,2, figsize=(12,8))\n",
" for tau,ax in zip(taus, axs.flatten()):\n",
" ax.plot(y.tolist(), linestyle='None', marker='.')\n",
" state_means = kalman_filter(tau,y.tolist())\n",
" ax.plot(state_means, color='red')\n",
" ax.set_title(f'tau={tau}')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note how much quicker Kalman filter gets to zero when data is purely random compared to Exponentially Weighted Moving Average"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_kalman()"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"y = 1 - (x/3) ** 2 + torch.randn(200) * 0.1"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"y[0]=0.5"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ExQFat71M+tOkt2U2A958jFP9B8Kvv8KTT3Jo1SZU4SLMHP8m4V99oFcgLRZo0UKvUhYubHecM9PsJKvBfXvXcv/u1RR5e+DtfvkFDye3HOfZwFNKEwFclFy5gsOMLdHEJ1ppenwnO757jCevHMDHy8QbayZQ8dJZHtu9zC7AvcesJmjRnJQHzoAqVbSY9utH479+4dvZXxNVvBxbQhty/KkXGdW8G0f9Suj9CxVKnS/85puwciWP3NuYuw5bqPPfESKO7ySgemgqx9kmmp1LJPHa2kkcKhHE3/XuxpSQALVq0bBpbbr17wZdu8JXX3G6YVOi/92rz1Gpkv6BVHnO4ear9K9dOE2T/2SrQYNTB7ju5cOUxh31hhTxFgQPQjS7AGPTbAPtJLSqVoohXerh42XC20jGz2zQNSzI7mCPnbWZHY8+y+Ex4+DKFZ0G8cMPBG/bwC/TPsE3OZER7Z7jYvuOjHrkVSzWwlChAvj5Qa9eOkBStSrMn0/Up1+zP8mHk0VKccU3gAd3rdCfA7166Wj1smWA1u3uTYIJiT3F2yvHE2/2ovzo73QUe+BAGkTUo/Cm9Zx/8GH44QfOPd9P51m3aKGDKq1bw99/a3u5ETF3pdkA9xzcAEDlyBWwYEHu/TMEjyOn2tFNAtoApZRS0cBHgDeAYRhjgPnotkYH0a2NnsmJ8wqejyUqlqmbj+OTlMAX//wfPtYkXvlvE491bkrtz/8hqXggRSwb4exZIg9fpNW+DQRev8zZgOKUvnpBt3sD+PZbYg8f40ByIRY++RqDagQzZO4uEpKsbDp+id8BKla8EX2uXh2GDmWRuTRHlqxlVeUwfvz7MwonxEHlyrq90fLlurhQKcJNV2jwVR+uX7tG34ffp7CRQPcdS6BtW308pZj45ghOxBTmrRXj2HDNoFyRongVK5Ym4gxAx446fWTbNl0Qg46Q+HqbaHTqAHvKhNL1hYfg74+1HY89dtOvr+TeCdlFNFtID5tm26LLXl4mXmtXg/CQQGoV96Jil/vwK12Cop/ez6iVh0lIsvLByvE88e8/JFvmaie4bVsoUYJd9SLYtGQjx2o1oltoebtm+3iZWH1XO0pfiYXixeGDDyAiAry8mNuqCyOu1sJqQPedSxk+71u97e67dWre6NHQqRMAzx9cwRt/fkCi2YtnnviKKdM/xqtJODRqBMDE/8wMrtqTuaXXUeuvCfoJRUTo3x9+CK1a6S4bw4bB8OEwZYoO2KQEQ2yabbp2jdZR2zjwcC+q79gA770H996rn+tNvsai23mXnOqq8Xgm2w2gf06cS/BcnKuvIw/HcPJCHElWg5c3TCc09iRngqtSdtlCSlnjoXBhTFP/0hHlefOIaNuFmruWcTagOF/f8xxfzh4BtWphiYpl+pZopoX3IynZis/+S3QtfNGe33Y8ICUfrWJFCArSfzdrhiX6EivC2zON2iQnW1lSsyUP7ViqHV2TSUcmjhzBYg7E+sEXNIk9z7F/VtHCuywtKgRA8i549ln7cxs8exdla93FWyvG0TxqO+dCa1IKoHx5HcGwpYjs3avzrAF+/FEvTaIjGtPvLEbdobs5+fq7NG4VCm3awJIlN/16SyW4cDOIZguQsWaDTsnoWSeQ8ErFAQj75hPYtwP2AT/8QMSDvagfc5THty3EElSH8OjdEBYGJUowccMxBv9zCqsRhM/u83Qt5J+qAO+v5z+80SN/yBC7TYH+PpiUAgzmNrqHN4KSKfdEd13U99JL8Mkn7Fy+iVOLVtL+i7e43KwF854fxHvtW+M19FGdgoFDmoUBfzbqyNDFo7lcpgJFKlTQJ2rZUveQ/vprvVo5ZIgOdtx1l86FLl/evhp5+s+/KJSUQPW+T0NUG93/edkyuOeem3rNRbfzNjI2R8gRnDtmoBRJyfrvIskJPLN5NktqRFDltRcp2+8ZmD4d3nlHC09wMEybRnj16rA/kk1P9KPHe6/BmTXsb9yKXmMj7cuGoEXXAHv7oZjAlLxKB8f5eNW6qezp0awStRu8Aj2X6ih25cp6v3FTeCK5AUtnT2V1lcYE1KxDf5uITZ1qf362JbsTxcoQVbwcIRdO41U5JdLs5QUPPQS//aZHec+cqe8PC9O3n33W3ri/7oSfwN+fCu+/qfdp3x7mzNGtlqrYG+VlicwqwQVBENIjI832MptITrZSIe4CH7z8FExvA9266f7z77yjV9LeeYfw8+eZOmcMCUWLYZ43FzYvh+DgVLnBgC7OBtfTA51sGjJ3F8lWA7NJ8eGD9SjXvNONHV56CeuwYfh3f4Q7Lv7HhpAGeE2cRY+qaXPrHdMsZtZty6AVv5HQomXqnUaMgAMHtE4HB+v86Pbt4fffdecN0F8a1s+BIkW0U2216gj58OE35TiLbud9ZGSZkCOkEoNkg8SUv5OtBp9e2Ezg9csEDRtM1Se66siBj48uEFFKf+ufN0+nNwQH03TMVzSuHQSRkSyu2MAuuqAjIN5eJrqGBdmLOX7p20ZHD1q31kt0w4axMKy93Z5kq0GF4n7UfLyzjgS3a6dTOerWRc2eRfihf6lw6SzT6t2TqnG/Y9GLfckOiAxpCEDxWg4TBT/6SOfKff45VydP5UzN+qzs0Q/On2fvglV6n5MnYcIEeO45KJnyodGunf6dEnXOThP+jCrBBUEQMiIjze4WHsTADjWZfeAvvC7E6vSFJ57QOvvpp9rBbNECPvoIHx9v/FYup1GDKjpI0L59KqcVwKRUKs1OL8pq74AEGIZB7LWE1DuUK8eKVz7mrH9x1leqz4DObxN57KJ9c3qafd0vgJW/zKDk6P9LfbxSpWDlSo4PHsaUD77HUj2cq/UacnLi9Bsa/Ntv+vNp8GD9uVWokO4KsnAh7NuX7cEpott5H4k4CzmCYwN8c0r0IjlZN8PvsGgStGhBra4pxXADB+pv7+XL69tDhoBSGF98wT9vf0XZcwmEBwRgiYrlxIU4e/TDbFJ0bxLMI2FBdtG1i69jgd2gQTSOisVn89k00Q1L4QpErjikc8u6dKHil18y6HQMF30DWFG7JU/b9nOxnGbrU9q0Qjd4deGNokDQVeQ9esDXXxMAjL7jSWYcMbEOmDx2Lg+GNyd8zgydW92vn/1hFr+y1CxVloRZ8zjSoVuacwLp5sI59k6VXDlBELJDepptC0yE746E+bNh6FCdhrZsGUyerGs2ypeHxYvZN3U+q33K0Lh4JcJJPZDE19tEQqIVk0kxpEu9tJqdiU023XbOBy42oC+9/Bqn1fYMNDsjfbScvEIvayMSjljx+mk9rxarzUvr/uLh7xfzc7c6NHj1VZ1SN3Cg/Tzba91Nb7OZM9+Nplepe7Os2bbnL7qdtxHHWcgRnMUAtHi0P72LQlFH4PPPbuxsG3lqw2TC0mcgzyaGc/mqNz5jIxn8QF17IYkt1cLRYc6uPbauHY7C+nfzu6mdPIza54+x8L1v+K33nfbju1pOs1dc1y8O//eFLixxYMtHX7PRvwa+/25hUsN7ifEvxkXfAGqcOsT0LdGUHjeFMqHVKJRS8GiJiqXXLxsYWr4+7ZYt4+/Nx1Kdc/qWaGZsic4wF842fEAQBCE7pKfZEaElCQ8uBg++oztdvPWWdpavX9ddMFKwHLtArx0mEpL+w8dyLpVmOw4kyY5z6MomV/nArhzPDDU7HZx7VScmGyyp0oT+ayfTfP9m4vv9gDUpGdMvv+jPKYfPkJDQJjSdPAHf3i3wwkRcIf8sabbteYpu513EcRZuGudIgLMYhIcEwpOfQLFiOgc4g+N8t2Q/l5W3XfT+2XkqTapFdoXG2R5nYV0WEEztwYMx3X03He+6K9VjXUU+7JQqBQcPpnkOvf7cRnypphjtmtp7Ve8pU4VaZ48yfN1+Pt4SyR/NutAoKpbwkEC7PatDGtJtxxLKHdmLj1dR+zkVSC6cIAg5RpY0G3RK2Y4dMGnSjel+jk6zs8PppNmJSVZiryXcKP7LBo42jVp+0KUGunI8M9TsdF4Lx/oZkwIvk2JPcE3O+xVl6KIfKBp/lRFte9PGHEg4qT9D/qrfjrtnbGDz//XiUMlgHnrxB9HsAoI4zsJN4Sg65pSluJ7NHVIXPvuM2FXrKbxyKRe6PU5pJ9F1jig4ipe3l4mO9cqz6ej5LItgVkgjrNVKwz2fuNw3u8tpjrl5JqBV9VJ0rFce//2NqfnPNFod2ISPNYlFVZtyPUVMbfasr6JbJz10djc9og7zb5UGBPbpw77TlzEphWEYKKUI9Pe55ddAEISCiXMxoHPam40tB85Q9a138a7bAP9HH7U/1iM0O4Nj3rJmVyvFa+1qADD91ADKbVjF4cAgfm7ShUJOmp2YZGVNzebEduiEz5lT1Nq2hb86BrHTXMzeEcRsUpy8EIclJVAi5B/EcRZuisjDMXbhTLIaeiJegEFjLkPt2iR9NZzAS7poo69vQwaliIdzukTXsCCX4hUeEkjNckVyNA8svfSNjHKIs3peZ4G3PQc63QV//8Graydx3q8oO0Pq8rZttLiDPdcW1yFo7P/g/HnatW+PhT4MmbuLWicP0P5AJAr43HicmuWKiAgLgpBtHKOlCckGEzccY/qW6DST8uYP+IQPT0XTp82L9D2uNbxAaTbAx2/Qa2yrNA67sz2BIQ/C9u3QsCFF1q9myIUqWJOTaXT6AIHxV5iekJDmNRbyPuI4CzdFRGhJzCZlbzdkNQzUkCEw60+YPh2vSxd5+/5X2VauOgfLVLYvWTmnSzi3KHIUr9uRB+Z4zFvpp+lqydNltKOh7sBR/dwxlr05jPEvtHK5NLq/fgSNpv6q79y9W79OicmMnDOcqudPAHAssDyRh+uIAAuCkG1sjqIt4GHglE5w4QJJn3xC/1UTWF+pPssrNaJxSpehAqXZZBy9dsypBgivVw9KluT64iUkNezN/2Z+yf371wEwo25b3nrwDUnZyGeI4yykS2bf7Id0qcfgWTuxGgY+Xiaq77Hokab9+2MoxapaEZz1KZLqG7vzt/yuYUF0DQvK9QpjVzl6WRW39MTb5YdG3bq6h3OnTtz91btpJk3ZjtXIuzqTgcsRrSkSuYaWpbyJPLmbqudP8Mb9r/Py+ik8vm0h+/xfY9Tygzdeq/h4WLPmpvqJCoKQv8hMsyf0idDDpCzR9g4a9vSHAQNoNmECu8tWZUj7F/H2Ntu3eYJmQ+pR4LdNs1NIb5vLY7VpQ9X1kQw7c43796/j/+7oRUBCHM9tmMGe8tWID+qMRTpo5BvEcRZckpV8uJ7NK1GrhC+npsykwkP3ETBsh95w7BgqLIxRr9ybRlzT+yafm4LiqigkOzl5rqq3bfen+SDx89OtnCpWdDme1XasyOD6NBvwJx+VvUKnyDU0vnKS7y5vJj6gCM3efpGTk3xo9eOXzP/oC077FeP7endqwV4yA/r00QMJGjTIiZdHEIQ8iLND56qrhc0ZtDu+lYoRvn0NmBrBlCmoAQO4PvBjHnDSMndrtu35OY4CN5tvk2bfxLHC774bn+nTefTkCSw9X6LVsGGQmMjx+/fz/pKfSV76C89EDuPVoS+I85wPEMdZcElW8uEAwqb/Bh8OgmPP64lK3bvriXsdOqT7jd3drXjSKwq52dy4QH+fjJcPU6YUZnasS8VKUOmO2nrDmjWU/Gc29OnDY3fVhDpvkPzLN3y4cDRWFC2D6mjBto32Xr48Q8c5o0iUIAh5n1SanWhNtRrorEl2Df7xRz3GulQpSEyEl192qc/u1mzQz89xFHi38Ky3J822ZmfjWBGhJaFuN63BL7xAePv29n3HfD+ZJX/+w/9mfk6/VROIPNyV8IBkPaxr1KgMVwpFsz0XcZwFl2SaDwdw9aoeWQrw889gMsHIkTo14bnn3GV6pmRYFJIFnKPmtzJC1flY9YOK6slUX36p0zCef17vWLo0Byf8ze9/LuXzOd9y36ENRIQ+AHv36u0rV+pJjC64lbxAQRDyBo66ppTCahiZa9L48dppPn8e7r9fT1T1UFyl+WWV26nZ9sdNnZpm36a1KvBd5br83LwrHy79mcBz++HvE7BvH7z/Ptx9t8uVSNFsz0YcZ8Eljvlw0zcfo8GxPewIqZN6aeynn+DcOXj6aRg2sSwGAAAgAElEQVQ3Tkc8y5eH33/PdXud2yXd7slNzhGY7PQPdXUsm80A4bVrw9at0LSpvbgQ4ErzliivYM5u+ZuBF3dQNCTwhuO8apWO+JtMaY5/Kx8SgiDkDRx1LdDfhyFzd7nWpORkGD5cr4StWwdffAGdOkGFCrlqb3Y0G25dt3Nas20dPlLVnLjgkbAgkuv2IXHbTGr+/J0eJqMUbNigddtphgCIZns64jgL6WITh36b/yboz4848NsUqju+ef/6Szt3o0frcaz33Qfk/hKTcz42SpGUnHuTm25V0J2jC2tDqlFy69Yb0WanfYIrN+elyGlw7BhERenpXocOwe7devS3E9kdDCAIQt7EUdfSbQ33668waJD+Wyno1QtLcgCR22KICFUeq9mQc7qdE8GTzKLCztv7PN+foM8/BrMZXnwRZsyADz6AFSv0fQ6IZns24jgL6XPpEnuXRlJ1xOcAVN+wHHrrhvgkJcG//0LfvuDnx9aF61h/4grFNxxLNXY1N5aYUn07T9aJJdmtur5VMhL0zL5IOEcXtoc2oG251dCjh8t95tVoRd+1U3SkyDC0g/3uu/rLiwvHOSc+JARByBs46k2ayX0XL+oUgZYtORccyolEE7tOWBkyN3fTAvK6ZkPmUWHn7fPveIgXSn4PMTHw+OMQEQG9e8Pnn2sH2sk20WzPJe26riAAXLlCUlAwtR65l+uGwhJUh4RZs7WjBjq6ef06NGmCJSqWxyfu4Oulhxg8a6fL6uXbie3buVmBt1nhbfvbA76p26IOIxbto9fYSCxRsWn2SWW/l4mir/SH6GgoUsTlPgcrVCWuRi2dVw460h8WBt9+C/Hx9uVDx3OFhwTaP0SdtwmCkD+w6c13C3Zj6fkie+YsS73DqFFw9ix7Bg2ldfWePFzjUdFsJ7Ki2ZBWt53tdt4eXrcSfPopNGkCrVrBU09pB/rDD0moGISlV1+27oiyP14023ORiLOQBktULCcnzeDBy5f4rnVPZta+i2YndhM+f6R9ShKbN+udw8NTfbPGMDCZFAoj10TQ+ds53FybodtBVnLVshJdcN7Hr+gz8M47eqm1Rg0dfe7QgXNPPsvBg7Fsqtqcb6s1YchD9e2j0LfuiGLs0F9ZVKUJ3t5eUnAiCPkIx970fddP44V1U7ncZw3s2w3Fi+ugxx9/wJ13siwgmISkfaLZLshqfnFmuu1ye9+++sfGzz9zvHp99k+ezT0Tx3Bw4TwmzllFzxaVASkS9FTEcRZSYXujvrFoHglmL35p2Z1rJm8SAwrDfGDWLO04Wyw6Ilq9OhGFLqbKx3LVP/R247zs5iniktVctazk7jnus73NA9QzDSKxYjC+fn7Qvj20b0+pqRN52OTFY1v/4YeIbgxWz+gx3bvWU/vxXoy+dIHe3T5mdbUmqT4QpPWRIORdHHvTN47ew6trJ2EJqkPYqX06n3biRNixQxcTv/ZaGl0Szb5BdvKLM9Ntx+0uNTYggNltuvN1fAMe//cfhi0cxZs/zaJmhad08eGuY3SxLGBFlTDOFS2VxokX3XYP4jgLqd58tm/bLaK2s6VibR6MqErF4n5aPHZ30O3nevfm6tpIYqvW4czxi5KPlQG347WxRMXSa04Uw2rfxfVC/tSMiiU8JJB/h49h3cJIvj/nz9i/PuLe/ZF83aa3Ftsvv0QVKQKXLlD/v0Osq9GUkxfi7Mt/EtUQhLyDs8Nk0+0Hd69k+PxvuVCiDObZs1CLpuv6h7g4zhteFDN7saN5O9HsDLhtmu1CYy1RsZy4EIfJpPinRkuGLvyBuw9sIPJwJ8LPHuKZJ+/D+3wMfzVoz+DOrxPo72Pv4gGi2+5CHOcCik14bW2LHKdNlUm4Qp0zh/n+rl50dZwWOHo0NGhAXIf78D54gH/CH2TE2MhU40uFtOT0a2P7kBz4wBuYFQw8HMO+05cZPGsvVqMYJi/YWKk+r66eSGDydSKCi8LGjfi+9BLxM2bSPuk/flSKSRv1UJuuYUHS+kgQ8gCWqFj7yGzHLhQRoSUJIJkhi0ezu3x11Jw5NGpUFRq/AwEBGK+9RonkZBZXa86A6fuZEFhCNDsDbpdmO2qs1mw9pMak4FLh4mypWIt7Dm3iemhJeL4f3t5eXI5ozYO7N5N8X00+cfisFt12H+I4F0Acv/2anBrlx15LYEK1OEwY3DugJ7Uc34ihoRz+YiSFPxnMhcAK/FOjpbxh3YBtKTEhUQ86uByXyLeL99unagGUuCMC0+oJTGjmT63zR3UhZ8uW+EZFEbx5G0nJNwTX4NZ6mgqCcPtxTMewvdNt+tu/bTVmVr5I8etXKDz0E6o3qnrjgS+/zNBijdmyKJLDJSqKZruBrGh2j2bBJJ7tRJOxX0PkIli8GL78kiLVqkHXrvhHriEhqaTotgcgjnM+JDvtz5wLQwL9ffD96UcSypSjVud2qR43ccMxBp8sT/JzP+lx1Uq/ceUNm7Nk9v8LDwlk8AN17dGKsWuOkOwgwCalaNzlbhgGtU4d5Pj2rQQD24Nr06BhQ4rPmkVRI4Grhhmztzddw4LoGhYky7aC4Cay0/7M9k5XYNfsUcsP0nPmX1C2LNV7PZzquNO3RPPX3oskVawFgI9ZNDunyQnN7hoWRHj9F+GP76FHD+IDCrO742M0rloa/P1pN/47psQm8Gan1zlTqoLothsRxzmfkZUq3PQKQwL9fZg9Zho9/43ki3Z9aH/ySqrChsGzdtq/ISugVbVS2R5XLWRMVquoY68l2FcKMAzMJoXVqr8EDelSjwZNg6FMGc6tWs/OXccxFS3No/OOMze4KtWsVpbtHE+hdavZu347YSnHl/+jIOQ+WX3PO+q22aTo3iSYuhWKMWTuLgIuxfL84gWceboPZb28Uh3XMUKtgG7hQfJez0FySrP1YwLZsWgdm98eyo7SVZj/1259vM6dCZg8mabA8GvbMPd5xH4O+V/mPuI45zNuqv3ZkhkwbRrzWj3EewvGcN6vKH82uI8iDo+NPByT6huy2aTEab4NZLUVUpaq4sPCMG/YQFjsBSKD65OYZGVd4YpUA0rMm6l3OR8F5O6oXUEQbnAr7c9GLT9IQpKVz5b9gjIMlrbuTE+n4zo6zb7eOjdWyDlyVLOBVclFGdH2OawGmG3HGz0aPvkE+vSh2dYVIJ+7bkUc53xGttqfBRXVfYA/+QSOH6fTggVc9vVn0H0DSPL3T/XYiNCS+HrrHK3U35CFnCQ7/79MK78bNyZwwQKsKBbUaoW3l4m6LRtC0aJ68uO1a7BxI7RocZuflSAI6XEr7c8C/X14aNcKuu5cxqjWjxNxd4TL49oi1I+ESbQ5p8lRzU7veMWL65+HH4aBA+HgQahWzeXjhduPMgwj873cQJMmTYzNtiEbQrbIKN/Ktu3eA5FUe6MvDB4Mb79N1LBv+H7jKVYENeRCkUCGdKlnH5yRleMKOUeOvc7798PXX7P74SdZXqj8jeONHg0VK0K/ftCmDfz5Z47ZLtxAKWUxDKOJu+3ITUS3b46saHaqbZcucfLjzzkycyGtjmxlW/ka7Jkylx53VM/ycYWcI6df53SPd/QoVKkCX30Fb711y+cRUpNVzRbHuQDhmIv1v9lfcv/u1XpDsWKMmbKWr1Yc1ctDCgZ2qGkf9ynkUx5+GHbt0g722bP6S9SwYRAoH7A5gTjOwq2Sbv5s374YP/7I0eLlmVq/Hb82f5gBHeuJZhcEwsPB1xfWrNETYzt10kPJhFsmq5ptyg1jBM/AlotlSkrijkMWztSsj6EUO9o8QNHiRfDxMmFWSGubgkKzZnDgAMTGwpw5MGaMdpwFQfAInPNnt247zM6lG7D+9DMHuj5Jx/5j+bHlo+DrK5pdUHj4YVi/Xo9Pf/99aNdO67iQa0iOcwHBNqHIy2yiadRuisRfY8tzr/DcoSQOFikLc3e5Zeyq4EaaNdO/N2/WkWeA77+HV1+FICkgEgR34qjZyclWal6I5pmuD2NOSuSaty/PBnUQzS6IPPIIfPghDBhwY3XwscfAYtE1S8JtRxznAoBtua9UzGmWThpEIW8vEr19WFGxPrvPn7NX78ZeS5ClvoJEkyZaaNevh507oVIlOH0avvlG/wiC4BYcUzS8TIp7apfluYnjsCrF7027sKV8LU4VKi6aXRCpXRtq1oR9++D116F6dV2vsn27pGzkEpKqUQCwLfc9t/Fvyl06h8/lCyyq2owJu2LwMkt6Rn7FEhXLqOUHsUTFut6hWDGoXx/WrtUR57vu4lKTCP6buyj9xwiCcNtxTNFISjbYvPUQ9ZfNZlbtu/iyw4ssqHOHaHY+JVPdVgq6dtV/9+nDvy06kGz24vQPY3PPyAKORJzzG9evw9NP66WbRx4BdHubMgmX6bFtEbPqtmVQxwEkG6CsBo81C6ZicT9Z6stnZNSUP1XFduvW8NtvEBdHdMWqzD6SyAsH13DfD8v5uV9buSYEwQ04tiRrd3ADz2z4G//EeMaFPUC38CDR7HxKerqdpsvGoEHQsSOWgPL0mhTJ91XCaTBpEpZ3PiI8tJS7n0a+Rxzn/MbWrfDXXxhTp7Li9SEUfaU/AJ9Fr8QvKR6/Qe9g3p2INaVHZFfp65kvSa8pv7Mwz6/ZmNC4HwD4t2gFNpc36GdYqX18H5GHG8i1IQi5hKNzBPBIWBDlj+yj/1efcbpwSb6+8ykOBFXnY9HsfIsr3QZcB0FatyYyZQDO33Xb0v7gBiL/nk/4G0+5+Vnkf8Rxzm/s2QPAvtKVCRv1Ba3NdfFLSmDpzHEsqtmSci3DmdAS6e2Zz0mvKb+zMK8uW5PQlMeE3NGMXTH7AGhyap8sAwtCLuGc04xSJCUlM2XSJyQXD+S/5Rvwi0lmgmh2vsaVbmc0mdC2//Lqzbjs60+ryAWAOM63mxxxnJVS9wEjATMw1jCML5y29waGAydS7vqfYRiSkJOD2KIVXTdspZS3D0Pvfo4/J39Auz1rqXE2ioCE63zTuhcPHo6hf9tqIr75nPSmVDkLs3flEC6XqYD/1UvUb1mfH4IrcX5aVZ4xnaK4q9QOuW7yBaLZ7sfxfZXKOUo2AINu25fQ9NhOlg8cStsGVWjkboOF2056uu2o2YH+PoxaftC+3bZ//PFHKDVvpp4I6+8vun0buWXHWSllBkYB7YFoYJNSarZhGLuddp1iGMbLt3q+jCioF4pjtKLusg00rBTK5qqNORpYnjdXjafMlfPMqtuGo+WrSBSxAOE8ntd2n01oA/19GDJ3FxeqtqLi5XMEHb+o97/nLvj7b7BasRy/mG6utJA38STNhoKp284pU4MfqEsxawIlY//jWOlgKsWe4uMlP7KxUn2K9n/R3eYKuYizbrvSbGc9Dg8JBPUcTPkTpk/HcucDotu3kZzoqtEMOGgYxmHDMBKAyUCXHDhutrBExTL849+I+3gIT/60tkB1BXCMVlQ5d5xzlaoy4fkWnOrai4qXzhLX6g7OfjFC3jwCoIW4f9tqxF5LICHJyld3Ps3AB96w59Nxzz16KMrGjWmWCadvic644lvIC3iEZgNsX7eDVb1fZ/Jfq+g1NrLAXFfO76tCkWuJnPQ6i8f2ZfWZucybMwRzIV8KTZ4gxV5CGs12zoEG4M47dWu6Z56h7EMdmTv6BZoc20lCopXvluwvMO+t3CAnHOeKwHGH29Ep9znTVSm1XSk1TSkV7OpASqkXlFKblVKbz549my0jIg/H0OjoDt5c9Qem6/GpL6h8jm353T8pnuALZwhoWI/wkEBa/G8oTJ1K0aWLeOGBxuI0C6mwXTdp2hF27AhmM8yZQ6C/D2En9/HrtE8omhjHNEs0IxbtK1BOTj4kxzQbbk2392/Zy+srxhEaE53WEcjHpHrvmRUPDn0VX28z6qGHKPvLaHy9TBRavJAGLeq721TBg0hXswFMJlizhjNPPofp4kXKXY7h2c2zsQJrD54Tzc5BciLH2dWoGsPp9hxgkmEY8Uqpl4BxwN1pHmQYPwE/ATRp0sT5GBkSEVqShd4+APir5AKVkmBbylk3fQkmDK5XqwGA5fQ1Iks2IuLkFXGahTSkl09HoK7YvjZjJj9frsHUaZ9S6toFnk88ytfetdNEOwraMns+IMc0G25Nt+tUKw9AQOL1AtWX2Pbem74lmtLRR/A+dxa++ByefZb9E2eysmhlwspVJtzdhgoeRbqanYIlzpteQQ+R8FhnBi/9mV5b51M8/goXfAun6a4kun3z5ITjHA04RiOCgJOOOxiG4RhG+Bn4MgfOm4rwkEBK3VkDFsPPjzWgYQG8GI6u3gzAa9uv02PDMZe5UILgiO2asDnB9mukc2f833iDydED8U2KJ97sTf0jO/BpWDdVkYrk0eVJPEKzAepU147zI7UCea4AXj8ztkTTxbIUgJ2V6xF/7AK99hYiIekkPhtPy3tKSEO6mk3qFKC/67al96ZZfLZoNF5JCXzdrg8RoS0z7PEvZI2ccJw3AdWVUlXQFdg9gJ6OOyilyhuGcSrlZmdgTw6cNw0hFfQ/v2EZv9txeI/m6ojveG/hGK55+3KgaHn+2Xkq3RY2gmDDlYgC7C7biJ5e3pwrXIL37+3H+8t+IezYTmY+BZfmLMT80WAioy7INZY38RjNJiAAgHbBAVDArh2bkxMWvYfYQkVYqUpABq3HBAHS12xb8aCtA8e+itWJq16TTrtXYjWZaXvhCD4DWjLqlJdcY7fILTvOhmEkKaVeBhaiWxv9ahjGLqXUEGCzYRizgVeUUp2BJOA80PtWz+sSH52qQULCbTm8x3L1Kq3HfM62stX4rO2zGIUK0bFeeTYdPZ+mj68gOOKq+G/GlmgSkqz8+PJv9O/ekvbxyQQVjiZgzEhqvdUPjh6FsoWg/yCXvaIFz8ajNDvFcebq1dtyeE/Glq/a5MQe/g2uTURVXQQo7ykhIzLSbFuHlthrCUSElsSvxzQ4dQpThQr4tGkD/foR8dt0ucZukRzp42wYxnxgvtN9gx3+HgQMyolzZYivr/4dH3/bT+UpWKJiOTFlJp0TEyk89BPaVmrMoJS8pZrlikgek5Ahzn2dFdhF+VSh4pyPT6Z/22oQ3x5GfaOd5pYtYfhwokvX4eP2LfHbuJ6g7p3lGstDeIxm+/vr3wXMcbblmH7WujxVh0bj2+dZglLePxnlsApCRpqdmGQl9lqC1mwAAqFePQCOv/gKwZ8NpuTUiWxYM5O5vd+kVptmco3dBPlrcmABc5xtSzavLplPosnMlaYR9K9zI3XRVR9fQXDEudgEYPoW3eHAbFKcvBCHJSqW8BYtdNV2WBhbfptO1YbVSRr/B+fmLObl1RPh4YOAXGtCNjGbwc+vQDnO9qX2xGS+WDQKgKCHO9q3i24LGZFlzXa4hixRsbyQUIelhQpT+S3dmr1X83B4+l63PIe8Tv5ynAtQqoYlKpbvluwnIclKRNQOtpevQeSZeBrXcbdlQl7D+YPaVu0/zRLNpI3HmL4lWheQjB8PjRuz/sQVDlePoMP+9VzxTYkY7twJVau66RkIeZqAgALhONuizCcvxJGQZOWl9VN5dOsCLD1fIjwiwt3mCXmILGu2QyFhrLkQ37XqSc9tCyhZ2JeSS5a4y/w8T/5ynPN5xNkmvLbpQfGJVvzjr1H/9AF+btldcpWEHCE8JJDIwzEkJTsVkPTqBUBEQCw/1WlNtx1LKBqf4vDs3g1d3DJDQ8jr5GPH2VmzE5KseJkUPsqgt2UOq6qGE/DZZ+42U8jjpKvZKY6zLb3jj6admdziIZZeWw3ffgExMVBS/IbsIo5zHsGxktakFFbDwADaHrbgZVi5p18PasjynpBDOOfROX4pCw8J5MVPXyJ+7ghMvj54+/pox1kQboaAALhyxd1W5DiuNNtqQLLV4G2/05S5Gsvlgf2pWrmEu00V8gGZabZjekfFk8Xhm89h+XLo1s2NVudNxHH2IDJqSu5YSYthYDIplGGlj2Um8ZUqU+OxB91jtJAvyazRflj1sjB6FBQqBL/8Io6zcPMULpxnI87Z1mwMvL1MPLR7JRQuTNVnerjHcCHfkZlmp0rvqNgUihaFOXPEcb4J8pfjnIdznB2jE14mRfcmwTwSFpRmqcX2bfLzZiWIW7WGRif2cezT4VQym938DIT8hnMeXRon4ckn9Yb162HMGLBadQGhIGSHPJqq4dxP17ENWHhIYBrNHvxAXXaevIhv3FWK/98ceOQRXRgpCDlEppptw8sLnngCfvhB16YMHuziaEJ65C/HOQ9HnB2jEwnJBhM3pE7wd/w2eUehOOq1aYIpIYEYv6J0vlKVX5yqaAUhJ8mo6X6nsiFUjouDqCioUsXNlgp5joAAOHHC3VZkm1SanWhl8KydWA0j1TQ25+4HQ+bu4o1FP2O6dIk9jzxJbTc/ByH/kpFmR4SWJHzkSLh8GT76CB56CBo0cLPFeQdxnD0EW3QiPtGKARikTfC3f5v85BNISOC9+17m33I1uKx8ZPqPcFvJqOn+mlNJTAIOrNjIoqPJmfafzWh5WyiA5NGIs2NEWTnkMDvqtmMEcNSyA9yxZz3PbJrFlEb3cr5oZXGchdtGZoNSJvSJwPvld2nwxx9ET5xBUAaOs2h2avKX45yHUzVs0QlbS5nkZBdTfWbM0L9/+YWLd7RlRpP7ZfqPkCtk1HR/T2AQAOa33uRs4070iuiSqhWSI66iICLEBZw86jg7RpRtXTPS1WPDoNdnL9N/2SKiipdj5N29GSWaLdxGMhuUYnOkZ5SpwpVJMzjT91XR7CySvxznPBxxhhsR5e41ihE9ZzEVejx84wKNj4ennrJ/wJwbNIQJ98uEKSF3yKjp/vXCRZn3zFvUmjWJQct/ZVLjjqlWQByjFc5REFkpEfJyVw3HiHJGk1oPjf6dqssWseO511jz6POMqllernvhtpKRZjs60itCw3l+49/8tuOoaHYWEcfZA3BeBmn88zc0HjkS6paByindMlavhqtXmVfnLkzJibx9vAS/g8NoTUG4vbhqun9DlCP4IVYxYuZX1I49TkTonViiYu0rKEnJNwqo0muZJBRQ8mBXDVdL1y4n/l28yNGf/8R36KfsLV2Zx8rewx/iNAu5RMaarR3p1aHh9Iucxj0ndgKNmbjhWKp8fdHstOQvxzkPpmo4L4MMvaMCXX78CW+A116D9u11y69//iHJ24e37xvAVe9CmA3km5/gVpxF2fe1R2HmV3xXLZkYoNfYSHvOPuhoRey1hAxbJgkFkIAASErSum3TcA8ms24aqXj0USovWkScly9vdXyVeKsS3RbchitHeuP+yiTN/4qq/0zHct8DDJ61E+/rcVhNJhLwEc12Qf5ynL28QKk8FXG2L4NYDe7YvR7zzLV4X4/jsw4v8v6iH7leqw7b7u5Mw5XziG/RmmR/f8zyzU/wQOrdGQbFilH58G7mpVzXxeIuMWHyB/xfqx6srNvaLrwivoKdgAD9++rVPOE4Z9ZNw7ZP22snqLNoESdffZv7C0VwWfmIbgsehV2LXxkAQ4awv/N6Ht88l7dWjWdn2ao81XOYaLYL8pfjrJRO18hDjrMtgb/2sT38PONTABbUaMGvYQ9SJjSY2gum0fq3kQAsafNIxtENQXAnSkGTJrB5MxHv6ev6vRW/Ufe/w7y7byEvfPumvmYXLYLgYKgtPQUEUjvOgZ6vaS67aVgN2u5aw8ofDnPw4EmCYk9z/uhWrvsF8N+zffmlWDGJ2Amey4ABMHw4j77cHXPcNQ6VCKLlse2M8z9MeEgnd1vnceQvxxnynONsS+C/PHIzAN2f+ZZ/S4diNim+CGxM8mONaBG1jUe3L+Yz/wZcmbtLqloFz6VpUxgxgvCyfsxsBLWGLiahQkWq7LZQxbgIiYWha1d48EGYONHd1gqegKPjnAdw1U2j7a41jP57WJp9xzTvyndT9zChT4TUowieS6lSMHAg5nHjOPz2SBbWvoOnX3+MVmO+gNef0QNS9u2DefPcbalHkP8cZx+fPJXjDFqISTgDRYrw7uCniDxynpMX4pi44RgA60Masj6kIQBmqWoVPBBbsdR9IbWompgIW7ZQa+JYKFUKn8WLoG5dmDAB7rlHd1CIjna3yYKnULiw/p2HOmuk6qZRtjAV7x9ETNkgXm7bj+tePhwuUZGS1y5yrHg5DNFswQNJU+D66acwdCihQD+AH3+AVq3g2Wdh+vQbabC2JgwFmPznOHtgxDlLzcO3b4f69QmvXILwyiXsHQkSEq0oBSaTwmo1JEdO8Dgci6XGJfqxvnBhzO+/D2vWwKuvQp06cOed8PvvNx6UByfFCbcJD4w4Z2fgQ/ixnbBnG1Gffs3W+Dp2zb5WuCiGaLbggWSpN3PLlvDkk/DHHzfu27sXGjbMXWM9EHGcbzNZukANA3bsgB497He56sEoOXKCJ+JYLBXjHcDmbs/S/Pf/0xv79NG/+/aFxx+Hb77Rt0+c0Ne9Uu4xWvAcPMxxztbAh8uX4aWXoGxZQt7ox4T/rotmCx5Plnszf/klrFgBDzwAo0drP0Uc53zoOHtYqkaWLtDoaLhwAerXT3W3cyWriK/giThPqPJ58w2YN0kX/9WqBYCl6T3UKFOBIv+dBD8/iIuD2FgoUcLN1gtux8Mc52wNfOjTB/bvh8WLwc+P8BA/0WzB43HWbFcrInrV5SoRK7cSHlQUfvlFr4wL+dBx9rCIs6sLNM0y4I4demcnx1kQ8gLOqyONQwLZOfUfNp2Np0FULAC9ft/Mk/U68v6yXzjf/n5KzJ6uo87iOAse5jhnSbMBzp6Fv/6Cd9+Ftm3da7QgZANnzQ4PCUx1jQNpV11q177hqxRwxHG+zbhKuUhzQYrjLORxHFdHLFGx9Fryn77Gt0XSNSxI5z83foCLhQoT0bYZj9gcZ7nmBVtxoIc4zlnS7JBAncMPehlbEPIYaTTb4Rq3aXaqVVAvW6cAACAASURBVJcGDWDZMjdb7RmY3G1AjuPj41GOM+gLtH/baoSHBLpcBmT3bqhYEYoXd7epgnDLzNgSTXzijWvcAHy8TCR5eTOjYQfMISF6x5Mn3Wqn4CHYIs4e1FUjU80GWL1aT3Vt0sS9xgrCLZKeZpsVmE2KkxfiiA6qqoMdsbHuNtft5D/H2dfXo3KcnbEtA5oVN3KL9u+HGjXcbZog3DKWqFimbj5uH7NtNuvoxeAH6urOMIbBBxtTHA/prCGAznkHj4k4O+NSswFWrYKICGnPJeRp0tPsCX0ieKxZJVCKSRuP8dHRlASFBQvcZqunkD9TNc6fd7cV6eIqt4gDB/RQCEHI40QejiHJqiVYAd3Cg+xRO6thYDXgmjITVywQP3GcBQCTCfz9PdZxdqnZly7B1q3wwQfuNk8Qbon0NNu+LVlHolcH1+dstTqUHjgQOnYs0Cvk+dNx9rBUDa5fB29vMJsBp24ZsbEQEwPVq7vRQEHIGZwLq7qGBbm83yhfQVI1hBsEBHis4wxpOxyxbh1Yrbo/uSDkYdLTbOdtJm9vzn43itJd2sFHH8HIkW602r3kP8fZw9rRYRi6AOqhh2D4cH3fZ59BcrIeY3nggL5PHGchH+AyOufifn9LJUnVEG7g4Y5zGlatAi8vnaohCHmY9DTb1bY6IYHQsyf89pv2Y2yFvQWM/Oc4e1rE+fRpOHhQ90AcOlRHnYcP14UwTz4pjrOQ70gTnXN1f8WKsGVLLlsmeCxFi+r0h7zCqlW6KNBW2CgIeZj0NNvlthdf1NMEJ0++MeCqgJE/iwM9yXG2tZqLjYV582DDBrh4UUecv/pKO85KQWioe+0UhNykcmU4cwbGj3e3JYInULy4HgKVF4iLg40bJU1DKJi0bAl16+pJgsnJ7rbGLeQ/x9mDUjUsUbGsnZHS97BECRg3DhYu1MUwjz4Kv/4KS5ZApUq6rZEgFBT69dNDI55+mgUffY8lSlocFWg8yHG2RMUyavnB1Nfk2LF6Eub8+Tr4kZgojrNQILEcu8Cy+3vpFcNOnXQgsICR/xxnD4k42xqKn1mzkTNFSnKqx9Mwezb88IPOixsxQrdhWrtWWtEJBY/AQCw/TyEqsDxFx42l19hIcZ4LMoGBHtEf1qbbIxbtu3FNJifrNLt9+7Sj8NxzepWwVSt3mysIuYrt/dHH3IAP738FY+lS6NFDF8oWIMRxvk3YmubXOnuUvaUrM6vzc3D33RATw4aaTZl4wsqSvu/rnSW/WSiARB67yN912xIRtYOSMWf4bsl+cZ4LKh4Scbbptk/CdYpc0iOID4yfBlFRHPl2DKcGvIH1aBRX6zYo0O24hIKJ4zCgiQ06MOu5d2HBAk68VbDaMua/4kAfHx0hSE62t39zBxGhJfFXVqrGHGdt1XCKFi/Cx899RvGkUYwv3Izzf+/ARG2e7tCXYrU6cEdUbLrJ+YKQH4kILck7De/htTUTeW31BDZG1aP3obb8/uId8l4oaASm9Eb2AN328TIxYuZIOu5dw5H59fCKOceZwiXodKocSUWDCX62OlYvL57fcIyezSu5zVZByG0c29OZTYq3S7bAr3oEzUf/D0v/gYSHlnK3iblC/ow4g0fkOfcpm4RvchJ1O7RiyNxdjNsew3ctenDevxgAVhS/Ne7EyBNeslQtFDjCQwL58q2H2VujMd13LmH4/O8YNnMEkQfPuts0IbexRW/dmC9pidIR5sH316Zt9Db2l6lMbFwSyShGtnqcOMwkJFk5VDKII8XKMXjWTtFsoUBha083sENNujcJJslqMLfWHRSPu8zhBSvdbV6ukSOOs1LqPqXUPqXUQaXUuy62+yqlpqRs36CUqpwT53WJzXF2Y7qGLQ/o7D9LAdgUGEJCyvx3R1TKbwM9Hz7ycExumikIbic8JJD4SVPo9ux3DL/rKR7cs4rQ8T+KQ5ILeJRuB6asMLgpXcMxt3nS7//gf+USY5s+RLcnhnP3Cz8xqVFHvM0Ks0nZH2M1DNFsocARHhJI/7bVeCQsCB8vE+sqN8KKoua2de42Lde4ZcdZKWUGRgEdgTrA40qpOk67PQfEGoZRDfgW+PJWz5suHuA42/KAOu9awYGSwf/P3p2HN1nlbRz/nnRjh1IoW2nLUhbZhCJUURRFXBEF3EDFhWFU1FGcRR1lHLdRX3Wc0RkVcUVAZVFExQVkVNSilEUKKJRCoYACpexIl5z3j5OUp2nSpG22Jr/PdeVqm6R5Tp40d0/Oyq8duxAfayNGQXyMYvzgVB67rA9XD06tuD4u1kZW56SQlVmIUClLakW3i89m0423s75NZ5p8tVR6YAIs7HLb2eIcogmC1rGb/QpyAViT1rsis8cNTmX2pFN5eFRvYm0Km4J4yWwRpZy9M9efms6BJi3IbduV0o8/iZrM9scY50FAntY6H0Ap9TYwClhvuc8o4EHH93OB55VSSmvt2ghbd/Hx5msIh2pkdU6i0+E9DC5cxz/PmsCYzI6MyezodmeeMQNS3F4vRDRwtvSVlNmxKcXwNl04Z9NySkvLyc4vkvdE4IRXbjsrziFqcbaO3RxcuJ6S5LY8/qdLyd6yr8oOmN3bNpXMFlHLNbPtWvNlpwHckj2H137cGhXvCX9UnDsA2y0/FwKDPd1Ha12mlDoAJAF7/XD8ysKgxTkzLZE3G24GYPjDd9HHErru7hsNf2hCuGNt6UNrNrTpwhU/fk7KsWJpzQus8Mpt51CNELU4W7cWHjEjj/gzzyAzvSWZ6S3d3lcyW0Qr18y22RTLOvfn9u/e4eyda4H+oS5iwPmj4qzcXOdpOG9190EpNQmYBJCaWsvZyiGsODu7LxIbxHLh7Lc4NOhU+pzeL+jlEKK+sLb0xcXaOHXscPj8RV7pG0tXqZwEUnjldghbnHMKipm3shAFjGt8kIQdhXDmmUEvhxD1gWtmT724FwcOdqJ8wSN0WfkNcF2oixhw/qg4FwIdLT+nADs93KdQKRULNAf2uT6Q1noaMA1g4MCBtesODNFQDWf3xfFSO6duXc24wq38KXMsV8kyc0J4ZG3py+qcRGZSHNys6LpjU6iLFunCK7dD1OKcU1DM1dO+o6TcFPukxS/QMz4B21VXBbUcQtQXVTLbWb8ZPtzsjKy12SAogvljVY0fgAylVCelVDxwFfCBy30+ACY4vh8LfBGQcXIQshZnZ/eFBsavXkRxg6Z8mHGazLoWwg3rtsbOWdqZaYnQpInZEGjVqlAXMdKFV243bmzWbw5yi3N2fhGljkpzo5JjXLL2CzaeeQEkyTAhIVw5cxs4kdlO550HBQWwcWOIShc8dW5xdox9uw34FIgBXtVar1NKPQSs0Fp/ALwCzFBK5WFaLAL3cT5EFWdn98Upm1YyYlM2b2SORDdoIOM0hXBhnVwSH2tj5sSsygHcvz9kZ7v9PZmU5R9hl9tKmVbnIFecszonERejKCnXjF63lKYlx+Dmm4NaBiHqA6+5fd555us778DUqRW/E4mZ7ZedA7XWHwMfu1w31fL9b8Dl/jiWV0GuOFv/MBb0sdPliYc41CkDdd+9zOyfEVF/LEL4g3VyiXP98krvk4EDTfju2gXt2gE+hLaosbDKbTDjnIM0VMOa27Mnncr8Hwq4880POdJvAD0uGxGUMghRn3jN7U6dzNyAv/0N1q1j5SP/ZvybKyMysyNzy20IyhjnWcu3MXVBLnatibUpPn1/KuXJySR+/w03taw6G1sIUXVySZVemaFDzdevvyZn8Llk5xexc/+x6kNb1H8tWgS8xdk5EXBuTmHFtsEPjerNo3oT7NoGzz0T8eMzhagNr7kN8Nln7Ljv73R4+jFsuw5zV0lDNiV15L2+wyMqsyOv4hykFuecgmKmLsilzG7Gx2XszKPT+pU8MXwiww8pMqXeLIRbHieXOPXvD40bs/vjxYxf25SSMjtxSjN1yXQ+yTiV1Z37yhCoSJSYGNAWZ+sEbudA7TK75pF5q7h04YM06tYNLr00YMcXoj7zmttAzq4jjG94OrcMuZo/fD2bk4HCZsl8OGBERGW2VJxrKTu/iHL7iXkyN6z4gKNxCczuPZwmEfTJSohAqHYt3Lg4OO00bF9/TdtzB6G1ZtCODVz/wwIGtm3I8YmT5P0ViVq0gO3bvd+vlqwTuK3u/t9rNPppPbz/vpmgKIRwy9sa5s732D+HjGNDm85cU7qN0xfO4O0x3Tg5gjI78irOQRqqkdU5iYQ4GyWldkbnLmFs7hJeHTiK35o0i6hPVkKExNChJC2eysLX/0B8WQnH4hoA0LukGCIogIVFgFucrV3NSoFG0X/7em76YQG7r5tI8qhRATu2ENHA+h77osdpnBKfxukLZ3Dy7s1Al1AXz28ir+IcpBZnZ7fFps+XceVT/+bgkDM5/sCjzOzRXlrDhKiDnIJiCpp0ZrTWqKQkvmvQhiFbV7GlZQfabcqnQagLKAIjwGOcXbuaAZKufJLSlkkkv/CvgB1XiEhnnWw7c2JWxTyC5/Y34yagcMk3pIyInEm3kVdxbuD4t3rsWMAPlZmWSGbOxxAfT7OF73FLolSYhagL5zjU0tKmrD3/VhqOvpQXNx+n+dGD3Lp8Hjes/igqFtiPSomJpsHj6FFo1Cggh6jU1bxmDSz/Eh55JGDHEyLSuVvxqEOLhpSV29mf0ISCFm0pzf4+1MX0K39sgBJemjY1Xw8dCvyxjh6FWbNg7NgTO18JIWrNOUauHBtvnnwh+1u1JT4uhoONm7OrZRtiS47Dr7/W+HGtG66IMNXRsZFhQUHgj6U13H+/2XDn1lsDfzwhIpS7ZeqcQzZiFKxv15WOWzbU+HHDObMjr8U5Lg4aNoSDB/3ycNUu4P3ee+Y4N97ol2MJEe1clzwaMyCFMQNSyM4vYkS3w/DJC7B1K7Rt6/NjyhrQ9UTXruZrXh707Fnrh/Fp04W334YPP4SnnpJGDyHqwN0yddZhUX30OSQ88XfYswdat/bpMcM9syOv4gzQrJlfWpytL16sTXH5wI6MHpBy4gV8911ISzux7qwQok48LXmUmZYIub+ZO23dCllZPj+m14X7RXjIyDBfN22q9UN4zWyAw4fhjjtg8GC48846FlqI6FZdZmemJUKrMfDkQ/Doo/Dssz49ZrhnduQN1QBTcfZDi7P1xSsp18xavo2rp33HX99bS86WIli2DIYPB1tknkYhQiEzLZHJw0zrY6WuurQ083Xr1ho9nrXb0OPC/SL0WrY0rb95ebV+CHeZPX56NrOWbzvxtzRjBuzdC888I8vPCeEHHjMboE8f+P3v4fnnYdUqnx4v3DM7cluc/VBxdr54zgXzNSfCePWn3/LRvn0wZEidjyOEqMxjV11SUo0rzr4s3C/CREZGnVqc3WZ2qb1ih9f4GMWqd56lYWYmnHqq34otRLSrdnjFo4/C/Pmmd/7FF2H8+GofK9wzOzKbSv1UcXa+eFcPTiU+1oZzHr8G+hXkmh9OP73OxxFCVOauqw6A9PQaV5zhRItIuAWwcNG1a51anF0zO0aBzaawa41dwymbV9Ewb6MZqiErswjhNx4zG0xv0g8/QN++Zk7Y4cNeHy+cM1sqzl5kpiXy2GV9mP27E2Ecr8sZtGMDpa1an5jQIoTwG49ddenppmKldVjPuha11LUrbNtWp3X4rZk9ZUR3HhrVu+Jvacy6pZQ1bQZXXOHHQgshvA6vSE1l421/hpIS8t5ZGJpC+okM1fBFQQGZl1xC5ssvc8uqVbT759/RcXFsyxzC/m37w/ITkRD1mceuurPOgnnz2DdqLAUFB9mc2pfnTh4edrOuRS1lZIDdDlu2QI8edXoo65rN3ds2ZUH2Zs7/93L2XziSVg1kGx0h/Mnb8IqcgmKu/1GxPC6B5S/M5MDw8+ttZkvF2RdvvAE//gjjx9Nx506Ot21HTOF2Xm7Sg/enZ8s/bSECoNJmFU6TJ8Pu3bR8+GFGAz135bGg99neZ10//LCpjL36akDLLOrIuiRdHSvOrvbMX0iDo4e5La4ntxQUS2YL4WduM9th/spCDusYvk3ty+mbV/JhmK2UURORPVRD67o/ltYwezakpFSMvXv7yTfpO+Vd3u5zbtWxPEKIwFGKnJvu4ozb3+DFwWPI2LuNRvZSEhvFVz9s4+23zaW8PLjlFTVjrTj7Ud4nX3H9d/PZ17AZX6f0lcwWIohyCoqZs2I7GviycyZp+3dx8rJFvLRobb0cahe5Lc6lpWacXF275H78EX76CV54gW17DpFLE+I6pWNfd4QYy4LfQojgyM4vYkfjJFa1706stjMuoZiHPlzncbH8VRsK6ffTT9jsdlMh6949hKUX1UpKMpldWOiXh8spKOaXt97lyvtvptQWw1NnTkAlxEtmCxFE2flFlNlNQ+birln8+bvZDJl6Bw3bd+ea659ixqQhlTLbp02MQihyK85gWp3rWnF+912IiWH14OFcNX+T+ef84TqmXtyL4qMlYfvCChGpnJNQ1rUzG2b0+iWPkqRkt4vl5xQU89QT7zDbbgcg//NldJaKc/hSCjp0gB076vxQOQXFTPrPFyx88X42tk5jzcyFNIttyEzJbCGCyrq7YHFSMk+//Bm88ioPLn6J0TmLyM7vUSmzx0/PZti6ZVz05eus+t+39O+TFuJnUFnkDtUA/4xzXrEC+vXjm/1UWmql+GhJ2C6VIkQkq1hybMwQSpNaMaQon1u/n0e3ou1VeoCy84vovsOsC2xHUfzdilAVW/jKHxVnrbE/8AALXrqVtoeKuO/829gd21AyW4gQcGb2lBHdmTkxi5GnZvD24Ev4LrUvf/ryTYa0PFEVdS5rd/WqRaTv28mBV14PXcE9iPwW57rasAGGDnW7H7sQIjQqJqEMOoWk99/lj3Y71+5YQeGipZUqRlmdkyjYvZk9jVuwr3ELuu7aHMJSC5906ADLl9ftMdau5ZQZ/+GH1N48Oex6ctN6ca9kthAh4zpxcObvTmVT+iOc+rtLOHnhLOh3P2Ayu1XpEU7d9iMAgz6fB3pqWK27LhVnN5zja05rk0D/7duhZ8+w38lGiKiUmQmLFkHv3rTJXUub7M+g09Unbk5LpGfJTvb06kerlLY0z/46hIUVPnG2OGtdo3+WlcZFzp4NMTHEz59H94M2JkhmCxFWMtMSyZw4Et67EP79b7j7bmjYkMy0RN5pt5c4ezl7Lx9HqzmzICcHBg4MdZErSMXZhXXbyC/2bGYeQM+eQPVLrQghQmDCBDh2DP7+d7OL5wMPwJVXgs3R9Xf4MI02/UzaPZdBYiLMfwf27IHWrUNbbuFZSoqZ2F1UBK1a+fQrlbb7jVGsmTGThHPPpV9mN/oFuLhCiDr4y1/gzDPhmmvg8ceha1c6ff4BpKbS6uX/woK5ZkWkMKo4yxhnF9ZtI9N+3Wau9PN6okKI2qmyW2DXrvDUU9C4MVuuvwU2b2bjOwsr7pf/6myzBN2IEdDPUYVasyZ0T0B416GD+VqDcc7W3O5TsJ6EHdth3LgAFVAI4avqdnjNKSjmP2Xt2HnHH7F/vIjSvv3Yc+1N8OmncPPN0Ly5qVQvWhSCknsmLc4urGOZuxUXomNiULKtthAhV6lV0WXZuZyCYm7clcxXCY356dFn+dOoWErt0HvONDp0SCHh9NNNCyaYivPw4SF8JqJa1opzP9/ai625PXTbarTNhrrkkgAWUgjhjbfMdt72rybDaPO7vrz0zt84aeZrHDhrOM3//GfzIBdcAFOmQEEBpIXH6hrS4kzlT0TW2Z8Xxh1gf/s0cnYdCWBhhRC+sLYqum48lJ1fxCEVx/u9zuL8Dcv44akreP/1OxmSv5LcoReZoRutW0P79tLiHO58aHF2bcVy5vaVg1K5YP9mjvXoZVqrhBAh4y2zK24r1xQ2aslVV/+DR8++iXenPAExMeaOF1xgvoZRq3NkVpwTEiAuzqeKs/NTz9Of/cz46dkVledTOzShbG0uPzRIrrheCBE6zlbFGEWVlW2ct80acBFFjVuwrEsmacW7iNV2frl4zIkHOflkWL06BKUXPmvXzkwK9LAJirvMdlqwooB2G1bzXqM0yWwhQsyXzI5REBejiIu1caRhE97IGs3WsrgT79/u3SE9HWbNgkOHQvNEXETmUA2lTmy77YW7T0SZud9y8iWjsNnL+ajbkCqbKgghgs/dyjbWlRTMbRnsvP8q9v9yiEveWEL3X/P5akMZbR0fiOnXDz77zEw+S0gI9VMS7sTFQXKyxxZnt5mdlkh2fhGdd26mcelvfN++J/sls4UIKU+rkTlz27qRHMC8lYXMzSlk9vfbmLey8MTQjsmT4U9/gm7dYOVK8+E6hCKz4gw+V5ytY+NibIqd+4+x75XpNE1M5P5Tr+HjrlmybrMQYcK6so278XOTh3Ulp6CYRbm72N48mYJmycRYugj3xrbhvLIy1i/OZmmjDrK0ZLiqZhMUd5mdU1BMVuck9u/cAMCatN5cJ5ktRMi5rkbmLrfBfCBWQFl51aEd2ZmXctI/kxl21wS2zH6fTlNuCcVTqRD1FWfnJyLnJ52532zm3s8/peCCSxnzr6l0kHWbhQhLnsbPjZ+ezfFSOxqwOboIExvFM356Nh1+bcB5wKqp/8emDj15rt/ZlSasiDCRmmp2bXXTM+Ca2bOWb+OdH7bz8EU9uP3oTxxKbs/Td4+U11SIMOSa2/NWFjJ/ZSElZXZibYrYGBvl5fZKuX281I6yt2BdbAJfvfMp+8ZcFdL3d2SOcQafK85ggrhDi4aUltnJ2vYjTUqO8Xh8NwDZolWIMOVu/JwzlDUm3IZ0bcXMiVkUHy2hpMzOlhbtOBqXwPiVH/HswqeIPXq00oQVESYmTTJjnJ9+2u3N1szWQEzJcdLGj6bZsi9peudtktlChCnX3FZQUZEut2vGZqZUbM3tzG0N2G0xrE/uRI9dm0Oe2ZHd4rx9u893z+qcRIyCS9b/jyNxDViW1o/+MkZOiLDlafycsxs/LtbGncO7Vb4e+PPIuxman8MVqz8l/cgeGYYVji64AEaPhocfhnPOgcGDq9wlq3MSMTZFmV0zcsNXnFawhv/d9RBn3XtvCAoshPCFa26DGdvszOwxA1Iq1bviY22UlNqxA+vbduGy3C+ITQ9tvSxyK85ZWfDRRz6v/ZfZpiFffv0MHdYtZdbJ50ODBvIPVYgw5zp+zlNlutL1N59G45U/wOhPeXZQC7rKh+Pw9O9/w6pVcNZZsHBhlbW3M9MSeWhUb6YuyOXaVR+R16ojTe+YHJqyCiF85prb7jLbeT/nbYmN4mlbPoQmKz8is2wfELr6WeRWnK+5xmy/+9Zb8Ne/er//u+/S4ZsvKLznQfafcxUzM5KltVmIesg1lN1e38BsrNH1yJ5gFk3URIcOsHy5WULwhRfcblozbnAq/Xfn0fMfm9j24ONkprcMQUGFEHXhKbOr3BZ/Pjx1n1lZIyMjiCWsrE5jnJVSLZVSnyulNjm+un3mSqlypdRqx+WDuhzTZ+npMHQozJgBWldc7XH7x1degYwMUh6byq3Du0ulWYhIlpwMjRrBli2hLknQhXVuu2rdmv09erN39Xr36zLv3UvPqXdDkyak3nlz8MsnhAieXr3McpU5OSEtRl0nB94DLNFaZwBLHD+7c0xrfbLjErx9UK+5Bn7+GdatI6egmPveW8vVL7tZOH/TJvjqK7jxRrMGtBAisikFnTpFZcWZcM9tB2dmv3e4EY22b2H8y99VrjyXl8N558FPP8GcObJToBCRLj4eBg0ya/GHUF0rzqOANxzfvwFcWsfH86/+/QHI+3Y146dnM3v5NvfbP86cabbkve66EBZWCBEMzl6n/W1TID8/1MUJhfDObU6s9Tp7+Tbym7elUelxEvfvrTybfuZM02X72mtw/vmhK6wQIqAqjRS49FJYsyakjR51HePcRmu9C0BrvUsplezhfg2UUiuAMuBxrfX7dTyuT9bQlH7Ahu/XUdL6dJwDNhQu2z+uWWO2dWzfPhjFEkKEiHXx/WYHExiXn0+M1tHW0xTWuZ1TUMyzizdWLEO1NdHkcpeDv5zI7NJS+PvfTePIlVcGo1hCiBBw3TBlzrln0wfgvfdgypSQlMlrxVkptRho6+YmH2bcVUjVWu9USnUGvlBKrdVab3ZzrEnAJIDU1NQaPHxVOQXFXPN+HqtjYtm1bhOx5wzFXlbG2NwvaHzVWC4846QT45g3bQrpQHMhRHBYF98vaJpMzOHDsG8fJEXWCjr1ObddN7DZmWQqzo/0bkC6M7Pff9/0FnzwQbR96BEiqrhumPJVeTP69OkD8+bBXXeF5P3vteKsta46ldlBKfWrUqqdo9WiHbDbw2PsdHzNV0r9D+gPVAlgrfU0YBrAwIEDtevtNZGdX8TxcvilaSvaHtzL2MwUhqz/los+ehYu7g5pQ8wd7XbIyzPrhgohIpp1u+adSe3MlVu2RFzFuT7ntusGNneeNQimx5FevOvEHT/8EFq2hAsvrMvhhBBhzprZFSMFxo2De+81PU7vv28Wgwiiuo5x/gCY4Ph+ArDA9Q5KqUSlVILj+1bAEGB9HY/rlfNk72raivaH9jJmQAoXLXP0NBYWVoyZWftdrtnWVVqchYh4znVBp4zozm03jjBXbt7sebWdyBT2uR2jID7OsYFNl9ZmIuemTeZ1WrKR0o8XwYgREBMT6CIJIULImtkzJ2aZkQJ/+hO88QZ63Tpy/vpE0HO7rmOcHwfeVUrdBGwDLgdQSg0EbtZaTwR6Ai8ppeyYivrjWuuAB7DzZDfJ7kL6hpUklBbBJ58AsPfn/IoxMyu2reE1kIqzEFGiYl3Q4x2hSRP2LFjE+NxmFWPoKsI5coV9blfZDCEjg2O567n3yfk0OnyAyXv3sOWUoXQKdIGEECFXZZ3nmBhyzhxJTJsu2L/6imunZwc1t+tUcdZaFwHn+elTaQAAIABJREFUuLl+BTDR8f23YMZyB1tmWiKcchL87yMz8zomBjp25OiWbZR0NWNmUvbuMHfu1i0URRRChEpCAlx4IY0/+Yjy342m076dbG3Vkez8ooiuONeH3K5y/jMyaPjRR3z280QOxjcCYGlaf6k4CxGlsvOLiOvQiwk5H6B++y2ouV3XoRrhr2NHKCszSxcNHgwnn0zrg3srugM7799JSUIDckobhrqkQohgGz2aRsV7eX3OgyyZfgvd9u84sXKDCB8TJ/LrTbfw5Dk3UhIbz/cde9MgRVZBEiJaZXVOYlV6bxLKyxiwOy+ouR25W247dexovhYUwLXXQnExDZcuZebELOatLCRt7k42N2vL+FeWR0MXrRDC6oILID6eIVtWAfDfHtBJMiD89OpFm+n/JWX5NobOG4kqL6f8w3V0b9tUMluIKJSZlkjMfRPg3Yd4MvkAHYKYA9HR4ux0zjnQoQMcOEBmq3hSmsbTee92tiS2r7whihAiOjRrBmPGmN6ouDg6/RKVOwnWG8VHS/gtJo4jcQ0ks4WIcif36wy9e9Pho/mQmxu040ZPxblhQzj1VFNxBlixguvvGEv6/l2sSO1deUMUIUT0mDkTvvnGbIK0dm20rbBRr1hX3ZDMFkLw4IOUFe7A3u9kNr0xJyiHjPyhGomJ0KgRDBliJgM5K86PPUajDbnkP/8KST3PYGaXVtLlJ0Q0UspMHO7Th+NfLau0S5UM3wovHlfdEEJEpZyBZzP5d9N49a176XDzjeSmdaL3WQMDeszIrzgrBU89Bb17m5+dFefFi6FvXzpPvpHJoSudECLEcgqKyc4v4tKUrnTYMZv4I4f5Lb5RxVAAqZyFF7erbgghooYzs7M6J5GdX8Tu+CZMGn0/i169Ddv/PQlnvRvQ40d+xRnglltOfO+sONvtZsyzECJqObd4Limzk1tg4wXgL1+9QePfjvDY+bfIUAAhhAgj1syOj7Ux9eJeZrO7Fm1Y2bEXgzYHfqxzdFScrZo2NZdDh+Dss0NdGiFECM1fWcjxUrPF87qWqQCMz/kIgGFHCpl7ejqQIS2cQggRBqyZXVpmp/hoScXwrZZ7hpDw2nOs2lBI/54pAStD5E8OdKdDBzOmcejQUJdECBEiOQXFzFmxHe34+ZeWbSlt1RpOP528l2bQfGseeS/NYPz0bJkoKIQQIeaa2TExtoq5Dlmdk3j+cCI2u52nHp8d0MyOzopzr15w1llmKSohRFTKzi+izG4iWAFjB3Ykbs1qWLyYzzqfwvGYWNKKd8myZ0IIEQaqZHZmSkVvYHZ+ESuTuwLQa/tPAc3s6BuqAfDmm2aMsxAiajmXNistsxMXa2PMgBRob0J4cEYyhS3a0al4pyx7JoQQYcBtZltue655S3Y0a02/X/NoG8DMVlpr7/cKgYEDB+oVK1aEuhhCiAhmnZ3tOo55/7kXUL45n61Ls2s1xlkplaO1Duy6SGFGclsIEUjVZXZOQTHNrxtHxy0bSNi2tcaP7WtmR2yLc3UnVwghoPqlzVr0PQm++ZKkjs2DXKroJJkthPCmuszOTEuEyy+COUfh+HGzd0cARGTF2XW5EtnEQAhRY127wrFjsHMnpARuhraQzBZC+Mltt5lLAEXk5EDnciV2jUzsEUL4rNJ22xkZ5sq8vNAWKgpIZgshaqNSZgdJxLU4u1uuJLFRPP9ZmiddgEIIj1xbPeec34E+AJs2mVV4REBIZgshaiNUPVURV3F2Xa7kzG6teejDddIFKISoVnZ+ESVlJ1o9vz6WQJ/4eFNxFgEjmS2EqA3XzM7OLwpKVkTcUA3nciUxChLibCQ3TahyYoUQwpU1O+JibQzOSIYuXWSoRoBJZgshasM1s4O1bGjEtThnpiVWbL/oPInzVhZWrPsn67EKIdxxzY7MtES48kpo0CDURYtoktlCiNpwm9lBEBXrOMsyR0KIYJN1nGtPMlsIEWxRv46zVXXr/gkhhAgvktlCiHAVcWOcfRGK5UuEEELUjmS2ECJcREWLs5UstC+EEPWHZLYQIpxEXYuzu+VLhBBChCfJbCFEOIm6inOoli8RQghRc5LZQohwEnVDNUK1fIkQQoiak8wWQoSTqKs4g8zYFkL4RpZFCw+S2UIIXwQjs6Oy4iyEEN7IpDQhhKg/gpXZUTfGWQghfCGT0oQQov4IVmZLxVkIIdyQSWlCCFF/BCuzZaiGEEK4IZPShBCi/ghWZkvFWQghPJBJaUIIUX8EI7NlqIYQQgghhBA+kIqzEEIIIYQQPpCKsxBCCCGEED6QirMQQgghhBA+kIqzEEIIIYQQPlBa61CXwS2l1B6goBa/2grY6+fi1JaUxb1wKUu4lAOkLJ6ES1lqU440rXXrQBQmXEVAbodLOUDK4km4lCVcygFSFk9qWhafMjtsK861pZRaobUeGOpygJTFk3ApS7iUA6QsnoRLWcKlHJEqXM5vuJQDpCyehEtZwqUcIGXxJFBlkaEaQgghhBBC+EAqzkIIIYQQQvggEivO00JdAAspi3vhUpZwKQdIWTwJl7KESzkiVbic33ApB0hZPAmXsoRLOUDK4klAyhJxY5yFEEIIIYQIhEhscRZCCCGEEMLvIqrirJQ6Xyn1s1IqTyl1TxCP21EptVQptUEptU4p9QfH9Q8qpXYopVY7LhcGqTxblVJrHcdc4biupVLqc6XUJsfXxCCUo7vlua9WSh1USt0ZrPOilHpVKbVbKZVruc7teVDGvx1/Oz8qpQYEoSz/p5T6yXG895RSLRzXpyuljlnOz4sBLofH10Mpda/jnPyslDrPX+WopizvWMqxVSm12nF9wM6J4/E9vYdD8vcSLUKV2Y5jS25XLYNkdvVlCXpmV1OWoOe2ZLaD1joiLkAMsBnoDMQDa4CTgnTsdsAAx/dNgY3AScCDwB9DcC62Aq1crnsSuMfx/T3AEyF4fX4B0oJ1XoChwAAg19t5AC4EFgEKyAKWB6EsI4BYx/dPWMqSbr1fEMrh9vVw/A2vARKATo73V0wgy+Jy+9PA1ECfE8fje3oPh+TvJRouocxsL6+55LaWzA6XzK6mLEHPbclsc4mkFudBQJ7WOl9rXQK8DYwKxoG11ru01isd3x8CNgAdgnHsGhgFvOH4/g3g0iAf/xxgs9a6Npsj1IrW+itgn8vVns7DKOBNbWQDLZRS7QJZFq31Z1rrMseP2UCKv45Xk3JUYxTwttb6uNZ6C5CHeZ8FvCxKKQVcAcz21/G8lMXTezgkfy9RImSZDZLbPpDMDoPM9lSWagQstyWzjUiqOHcAtlt+LiQEIaiUSgf6A8sdV93m6BZ4NdDdbBYa+EwplaOUmuS4ro3WeheYPzggOUhlcbqKym+oUJwX8HweQv33cyPm07BTJ6XUKqXUl0qpM4JwfHevRyjPyRnAr1rrTZbrgnJOXN7D4fr3EgnC5hxKbrslmV29UGc2hFduR01mR1LFWbm5LqhLhiilmgDzgDu11geBF4AuwMnALkw3RjAM0VoPAC4AJiulhgbpuG4ppeKBS4A5jqtCdV6qE7K/H6XUX4EyYKbjql1Aqta6PzAFmKWUahbAInh6PUL5nrqayv+0g3JO3LyHPd7VzXWyRFHNhMU5lNyuSjLby4FDn9kQfrkdNZkdSRXnQqCj5ecUYGewDq6UisO8eDO11vMBtNa/aq3LtdZ24GX82M1dHa31TsfX3cB7juP+6uyWcHzdHYyyOFwArNRa/+ooV0jOi4On8xCSvx+l1ATgYmC8dgzEcnSxFTm+z8GMUesWqDJU83qE6pzEAqOBdyxlDPg5cfceJsz+XiJMyM+h5LZHktkehENmO44TNrkdbZkdSRXnH4AMpVQnx6flq4APgnFgx9ieV4ANWutnLNdbx89cBuS6/m4AytJYKdXU+T1mMkMu5lxMcNxtArAg0GWxqPRJNBTnxcLTefgAuM4x8zYLOODs7gkUpdT5wF+AS7TWRy3Xt1ZKxTi+7wxkAPkBLIen1+MD4CqlVIJSqpOjHN8HqhwWw4GftNaFljIG9Jx4eg8TRn8vEShkmQ2S215IZrsRLpntOE445XZ0ZbYO0IzHUFwwsyY3Yj7Z/DWIxz0d0+T/I7DacbkQmAGsdVz/AdAuCGXpjJlRuwZY5zwPQBKwBNjk+NoySOemEVAENLdcF5Tzggn+XUAp5tPmTZ7OA6Yb5z+Ov521wMAglCUPM+bK+TfzouO+Yxyv3RpgJTAywOXw+HoAf3Wck5+BCwJ9ThzXvw7c7HLfgJ0Tx+N7eg+H5O8lWi6hymwvr3lU57ZkdrVlCXpmV1OWoOe2ZLa5yM6BQgghhBBC+CCShmoIIYQQQggRMFJxFkIIIYQQwgdScRZCCCGEEMIHUnEWQgghhBDCB1JxFkIIIYQQwgdScRZCCCGEEMIHUnEWQgghhBDCB1JxFmFFKbVVKTU81OUQQghRlWS0iHZScRYRIVBh7tie8wmlVJHj8qRjq09P9/2rUmqbUuqgUuptpVQzf5dJCCHqm/qQ0UqpDkqpBUqpfUqpQqXUzf4ur6j/pOIsRPUmAZcC/YC+wMXA7z3c9zrgWmAI0B5oCDwXhDIKIUS08mdGvwVsAdoAFwGPKaWGBabYor6SirMIR6copdYrpYqVUq8ppRoAKKUuVkqtVkrtV0p9q5Tq67h+BpAKLFRKHVZK/dlx/Ryl1C9KqQNKqa+UUr1qUZYJwNNa60Kt9Q7gaeB6D/cdCbyitd6utT4MPAFcqZRqVIvjCiFEuIq4jFZKNQHOAh7VWpdqrdcAc4Eba1EmEcGk4izC0XjgPKAL0A24Xyk1AHgV05KQBLwEfKCUStBaXwtsA0ZqrZtorZ90PM4iIANIBlYCM50HUErd4wh3txdLWXoBayw/r3Fc545yXKw/JzjKIIQQkSISM1pZrrPe3tuH8yGiiFScRTh63tEisA94FLga+B3wktZ6uda6XGv9BnAcyPL0IFrrV7XWh7TWx4EHgX5KqeaO2x7XWrfwdLE8TBPggOXnA0ATD2PoFgETlVLpjuP8xXG9tDgLISJJxGW01voQ8A3wgFKqgeODwBgkv4ULqTiLcLTd8n0BZixaGnC3S4tDR8dtVSilYpRSjyulNiulDgJbHTe1qmFZDgPWCX7NgMNaa+3mvq8Cs4H/AeuApY7rC2t4TCGECGeRmtHjgU6Y5/cCpgVc8ltUIhVnEY46Wr5PBXZiguxRl1aHRlrr2Y77uYbkOGAUMBxoDqQ7rlcASqn7HGPt3F4sj7MOM+nEqZ/juiq01nat9d+01ula6xTH/XY4LkIIESkiMqO11gVa64u11q211oMxQ06+r8F5EVFAKs4iHE1WSqUopVoC9wHvAC8DNyulBjuWFGqslLpIKdXU8Tu/Ap0tj9EU001YhOlqe8x6AK31Y46xdm4vlru+CUxxLFPUHrgbeN1doZVSLZVSXRzlOwl4BnhIa22v6wkRQogwEpEZrZTqqZRqqpSKV0pdA4xw3EeIClJxFuFoFvAZkO+4PKK1XoEZQ/c8UAzkUXnm9D8wE1T2K6X+iAnTAkxLwnogu5ZleQlYCKwFcoGPHNcB4Gj9OMPxYyvgY+AIZizdq1rrabU8rhBChKtIzejzHM+nGLgZOF9rvaeW5RIRSrkfBiSEEEIIIYSwkhZnIYQQQgghfCAVZyGEEEIIIXwgFWchhBBCCCF8IBVnIYQQQgghfCAVZyGEEEIIIXwQG+oCeNKqVSudnp4e6mIIIUSt5OTk7NVatw51OYJJclsIUV/5mtlhW3FOT09nxYoVoS6GEELUilKqINRlCDbJbSFEfeVrZstQDSGEEEIIIXwgFWchhBBCCCF8IBVnIYQQQgghfCAVZyGEEEIIIXwgFWchhBBCCCF8IBVnETFyCor5z9I8cgqKQ10UIYQQXkhmi/oobJejE6ImcgqKGT89m5IyO/GxNmZOzCIzLTHUxRJCCOGGZLaor6TFWUSE7PwiSsrs2DWUltnJzi8KdZGEEEJ4IJkt6iupOIuIkNU5ifhYGzEK4mJtZHVO8nhf6R4UQojQkswW9ZUM1RARITMtkZkTs8jOLyKrc5LHLj/pHhRCiNCTzBb1lVScRcTITEv0GqjuugdrG8I5BcVeQ18IIYR7ktmiPpKKs4gqzu7B0jK71+7B6kgriBBCBJ5ktgg3UnEWYc1bC0FNWxB87R70xp+tIEIIESl8yeSa5LZktgg3UnEWYctbC0FtWxB86R70xl+tIEIIESl8yeTa5LZktggnUnEWYctbC0EoWxD81QoihBCRwpdMDlVuS2YLf5Hl6ETY8rZcUU2WMwqEzLREsjonkZ1fVONlkmR5JSFEpPElk0OZ25lpiUwe1hWgVvkruS0AlNY61GVwa+DAgXrFihWhLoYIMX+PcfZ32WozVEQmqUQHpVSO1npgqMsRTJLbwt9jnANRPslt4Y6vmS1DNURY8za2zR9j32qrtl2OMklFCBGpfMlkyW1Rn8lQDRGR/NWlVt3j1LbLMdRDTIQQItwEI7NBclvUnQzVEPVSdV19/upS83WGeG26HGUh/sgnQzWEOCFcMttbWWr7HET9J0M1RMTyFo7+6lLz5XFq2+UYyq5KIYQIpnDKbJDcFnUjQzVEveMuHK381aUmXXNCCFF3ktkikkiLs6h3vC1kX9f1Oq3dcbLupxBC1E2gMxtO5PbUi3tRfLREMlsEjF/GOCulXgUuBnZrrXu7uV0B/wIuBI4C12utV1b3mDJWLnqFcjkjWXJI+Es4j3EORGaD5HY0C+XSoZLbwh+CPcb5deB54E0Pt18AZDgug4EXHF+FqMTXAAzUWDNPXYo1DXyZRCLC3OtIZgs/8SW3Azk+2B+5LZktfOWXirPW+iulVHo1dxkFvKlN83a2UqqFUqqd1nqXP44v6i/XsArVWpnOciQ2iq/UpZjYKL7GLRnS+iHCnWS2qC13Fcz6ntuS2aImgjXGuQOw3fJzoeM6CeEoYw263J0HmJtTSFn5ibDyNhaursf1ZSkk6xg5n/4haA1KVfzo7XekZUPUA5LZAqicVz//coipC3Kxa12pghmI3PZl6EedcttCMlvURLAqzsrNdVUGVyulJgGTAFJTUwNdJhFEOQXFzFtZyNycQkrL7GjMH4Xzj8AZVpOHda12kkhtAqxKa8L1A8ns3KqismsNzZJSO4tyd3Hn8G4Vj+/xH4LW8PDD8NxzMH8+nHEGUP1EGGnZEPWET5kNktuRyprZZeV2Ym2Kcg3ldvNnUGKpYFY3uc8vme0mJ625fbzUTu7OAzx2WZ+K22tSkZfMFjURrIpzIdDR8nMKsNP1TlrracA0MJNMglM0EWjO4Dleaq/0n9f5veLE0kF1WiTfbofDh6FZs0q/N39lYcWx1W/H6Xjh2ZDcAj74ABJPtJaUlNqxA9/k7eWHrfvM4yfG8FHKHvb8sIakIYPIKC+G440gIQHuuAOefx6aNIFRo2DJEujfv9p/ItayyLatIoz5lNkguR2J3GV2abmulN82papk9uRhXd0+Tk0rnb7kZFbnJGJtihJHuebmFDJmQIrXirw7ktmiJoJVcf4AuE0p9TZmgskBGSsXPazBY2VTEGtTXD6wI6MHpADUaJH8eSsLyc4v4vRmdvpldoNbb4XZs+HLL00ldtMmClIyUN8W8JeiHWhlo1npMZI35kJ+LAwbBgsWkJmWxsyJWTy7eCM//LSTK1d/Sr9fNnHoyFkwZxpdCgvpAvCKKcexZokcvOJq2kz/L9x1F9x2GwwZAqecApMmwbhxZP74I5mNGsHAMRXlzykoZs6K7RXnIV5pWWdUhCvJ7CjmmtkKiItRoBRlZXZsNsVDo8xiLLXJbG8rJllzMibGfYtxZloilw/syKzl29BAeXnlSq2zAu3cgttbBdrd5EVfyyKii18qzkqp2cBZQCulVCHwNyAOQGv9IvAxZlmjPMzSRjf447gi/LkGT2yM4sqBHenVvnmVtTb/szSv2nFmiY3isSkzwCPGppibU8ikr9+m31dv8svvJtN2+jRzx0GDoLQUGjcm7cgRHgGOx8Ri05o4eznceCNccYW5DBgA111HZlkZ0z5fQkzeJuLLyzgS35DGuV9A167w+ecwcCA/f7qMN95awnXL36fH9P9yeOBgmjz5JMTGwtq18MAD8Mor8MILJ07AlCmwbBmcdBLZ+UWU2TVozV+XvsoNqz4kdutYmDoVevQIyushBEhmC888ZbazccNa8a1NZlvntLiryFbkJKbCPjYzxWOFd/SAFOatLPQ4JKOuwyxqUhYRPfy1qsbVXm7XwGR/HEvUD87uu537j1UKnisGduRRyzg0K2/jzB76cB3ldhPAE+L3UvLNt9z19VscTGhM25f/Ay1bwty5puX51lvJuXgcny9eyaIfd/JLwxa0++0Ab7b+ldS7bjHDK3Jy4Oab4aWXQCkaDh3KL2eeQ3b3waSOPJcBu/Ogb19o2hSAN+PTmN1rOO9nDGH8mk9of8uN3BDreAu1amUqzI88AosXQ//+sHcvjB4Nl14Ky5aRldqcwbt+YtTqz7lqzaccGjyEph9/DO+9B08/bcpdy/Msk1ZETUhmC1e+ZrY1Z2qS2Wd1T2bxhl+9TtizVrbjY22McVTY3fE2JKOuwyxcn191ZakJye36TXYOFH5jXTHjoQ/XUVJmJpTExtgoL/cePJ5CMKegmGcXb6SkzI7WmsnLZnPX1zMB+Kl1Ojde8xgLt7xH0rjLzfCLDRsqtTTENmtdMRwk1RpSXbvC4sXk5O/l+817GNStLZlpiVzqvD2jTaXn5myFORrfkDdOHcPsU3pWfRJJSXDlleb7bt1gzhw4+2xo357MJk2YfeAAdpuN3dfeRPLr02D3btMCPnky7NkDf/gDtGjh8/mWSStCiNoKVGZD5Uqr1ppWTRO8TthzrWxPvbiXT5upeLpPXYdZ+GNHQ3flktyu36TiLPzCGgY2pbBrjd0xA/vKQR3p0KKhz5M0Ks3I3rqPyc99RrP9+xi5O5/Lc5dw+tbVFI2+kl9u+QNflTfjuR7tSUqr3IBmHVtXbte0b9HQ85JGr/1gQuyrrX7pPqwU6mecYVq2334biopg+HBs55xDcsuW5s5t25pJijfcAA8+aC5TppgWaC9CtXaqEKL+C1RmOx/btdI6ZkAKYwakVFsJdWaas7JdfLSk2nL7a8hHdS3A/t64RXK7/pOKs/ALaxigNTabQqErWixqs3NTTkExR8dfS/a3H1fcZ19iawrv+zspD99Pks1GLw+P5eu6otWFmLU8vnbZVWrprpj42JHMxx6r/jn//Z9kjhvHvhem0/KZZ9iYeQbdxl1abaAHas1rIUTkC1RmuxvuYa20Vve4vmRaIDPbdT1oX1q7vf1cm+cowptUnIVfuIaBt/Bx5S68vvrnq7z47ce80+dcvu10MgXJqTxwz5Vkdmnt9fGqG/Zhvc5TiLlr1fDWZWcdUmLXUFKumbV8G/NWFro9H+6e8xMnXcv7y7Jp9bsJbH77fH7cXcqRBs14Kr0Pf3zwBjLTW3p9jkII4U0gMrs2wz2s3GVaUDO71F6xwYt1xafqMtv5nN397Gnrccnt+k0qzsIv6hIGruGVuXk1vW96iAs2r2NjUipTz7uVQT3a8YBlUxJfy+S6EL+7Lj535XbXqjF5WNdqu/qs6546N3fRVA5j63Fdj7EodxeHVBy3XHovf/7qTQYu/Ywrjv9G49Lf4EvYtG0pzJpuhnd4eI5CCOELf2a2M7+sw+NqMtzDtVyeKqqBzGybotKQFWvDR3WZXd3PnoZhSG7Xb1JxFrXmboKGLztGWa8HKoXXsPwVvDj/UcpateaHlB48dca1qAYJlXbyqy1PXXzuQqym3WnWsXk2oE9Kczb8cojycjvKEsbW47oe44Le7fhh6z42tenErVf/netPTWf6si00PXKAa9Z8wl1fzYIOHeDCC2HGDJ8nEQohBHjPbHf3cb0OqFLhtOaXdWhEfcrsIV1bcUHvdjz04boTkxrxLbOdP/dq14zvNhfhXH5v5/5j5BQUSyU5wkjFWdSK9dN6jGMx/HGDU6vc7tpS4Hr9mAEplJSWk75vJ9et/IgJKxfyW8/eNP7yC5oeieECP3Zn1SRYa9oaU6Xbc6QZfW2dse56XHfH6N62aaXfKbNrihs24/msK1h80um8Gvsz7V78N5x1Fnz2GSQn1/m8CCEin/v5FylVGjVccxuomtkuFU5nw4Yzv+pjZlufg3OrcedQk5pkdrldY1Om0j37+8ot1iIySMVZ1Ep2flHFp/Iyu2bqgly6t21abbeZa1dXw8MHueax2/hT7kpa/HYYgN3X3EjyC/+CJk3IbFX9RJKa8mX8nOv9fZ2F7Sm0nV89/UOxni/rMZ0bCzhpYGPz9swfMYzJF48wa0Offz5cdx188gk89xxkZPjtXAkhIos1e90NQ3C9jzO3gUrXaXBb4QT/D0EIVWZnpiV6XAHEW2ZrwK7B7tgKXFbOiDxScRYeeVvRIcamKmZO27WuFA6eWgqc18cfOcxrc/5G9z1bKBpzNV8md6Ll2Evpc3q/gD4nZ8jlFBRz33trfdrJypWn1vTqQtvTbZ4ey3meSkrt2DnRHZrYKJ7/HO3MiP++Tsbvxpstv+Pi4PTTYdEisxOiECIq+bIKj6dhCNb7uOa26+oU3paV8ydrds5avs3tfBFvgpnZpWWmFxalKC+3y5CNCCQVZ+GWt269zLREHhrVu1KIWbvRqvs0P+uak0m+ajQdfslDzZlD68su48wQPDfnPxCoWauAP9fhrG4Mn/P8JTaKp/hoSaVNCp6LbcqCGfPp3tQGXbrAiBEwZAg8/zxcfz3ExNSqPEKI+snbsmrOTPE0DAE853Z1vWnBfH5TF+RWNNaUhHFmO8+p81zLkI3IIhVn4ZYv3XrjBqdWO6atyif28nKYNo0BL78Mq1fBm2/CZZcF82kBlSfsOcbgAAAgAElEQVSFgFkBoybrabprlantFqrVjeFzPX/OrkBnYC9u05Puw7qaG1esgCuugIkT4R//gIcfNjsY2myAbPEqRKSrlNkeVvLxNgwB3Le0+nsIRm1k5xdRbtcVP9uUCvvMzs4voqy8dhV2yezwJRVn4ZYv3XpQw0CdOhUeewx69YK33oLx4wNSdm9cu9TcTZKpjruWhdpuoVqTCS3VTpRJToYlS2DBAlNpHjfO7Eg4axY52/bLFq9CRDhrPnhayccpHCrCNZXVOYmEODN8zeaYkF6vM7sasi13eJOKs3DLl269Gpk/31SaJ06El1/2b2GpulxSdaFW09nX7lj/8bi2BNe0G9DdZBNPRg9IQTm+VrlfTAyMHm0mDv7tb/DIIzByJNntBskWr0JEONfhXe5W8gknNclsqHtu+zuznXNl/rM0r9ryVJvZHsi23OFNKs7CI1+69dyp0sW0fj1MmACDB5sxuH7mOh4bpbxO+PNni0tdt1D1pXXB9T6jq9uJy2aDBx80LdC33sqIZ6cx98gx4o4dY1fr9mH5T1QIUXfWXKvJ0nDBHhZQm8wG/+W2P7a99pbbNcrsAJRPBI5UnEW1ahqormEx+4qT6D/2MmjUCObOhYQEv5ex0qfzcjOwJJjLAHlrCfF2Dn1pXahxC0RMDMycCZdcQsYNV7LUcXV54ybEnPM+pJ1T16cthAhD1ryZ7JwD4eX+wR4WUN8zu8pzcFPuurQa+6NXVASOVJyFRzUJVGfQ7Nx/rCIsykrLaPH7GyE/37R+pvj+ibsmPC0DFMxP6jVdushT+T2VuSYtEJVC/4cf4KWXzJJ1zZpR8veHYczl5H24NOBL/wkhgquumR2simt9z2zwnsm1zmzLqiW+DgcRwSUVZ1FFTQPVtdstNsZGk8MHeOKTf9Pp5+/M5hxDhwasvO4mfoTLJ3VfWh18aV3wtQXCbej/4Q8Vt91/7jHmvPIHeg4dwP6zz6XFB/NNb4AQol7LKSjm2cUba53Zway41vfMBu+ZXKfMdtxXJgmGJ6k4i0pqE6jWoCm3a8b3a80d90+h5bbN8PTTMHlywMvt2noQLuHia6uDL2P3rPfx1JVofS2Ol9qZt7Kw0uTDn5u3Z9S1z3BF7mImfTHfbKDy0kuy9JEQ9Zjr2vTODZN8zewrB3WkQ4uGQX3/1/fMBu+57Y/Mrq4SL7kdGlJxFpXefL4GqvV3rEHTUNm54/1/02rzT/Dhh3DRRSF8ZqEXiLFqnlohcgqK2bH/GDabqtjudW5OIWMcs7mdr9PW1h3557k3Map/Cm1f/Bd5mWcwfnuStGoIUU+4Vpisa9PbgCFdW1XaCtv1d1wrh2NqsOJDpAvHzHZXiZfW6NCRinOUcoaodTc6525T3gLV3Rt25sQsfnnrXUY8O5W4vbvhnnuivtLs5M8VPMB9K8TPvxyq2PBAWe5bXu55N8L3DqYz4csltP3rH4m79jl+i28kSx8JEcZyCoorlgi1rkLhWsFyV2l2l9nSWuleOGa2s9LsHO8sS9aFjlSco5A1RG0uC+UXHy3xOtvY3Ti6yd0awlP3QGoqvPIyjBwZomcX+Zz/JEtKzUYHh46V8s/PN1ZsRauAWJtCa+12Zys4sfj/0qwbeef1u5kz8y/sb9CEZ865gazOp4XiaQkhquE6HAMs+Tusa7W5PX9lYcXvWX9HKlrBUdfMdrZOu26pLkvWhYZUnCNQTZY/Q2tsNoXCvGETG8V7/N1Zy7cxdUEu5XZdaRzdOcWbYeyDUFIC8+ZBV+9LIAnPvL1+mWmJTL24V0VrxfRlWyptRRvj2FWr+GiJ28ewvv45bbqxYvwt9P5hKSlFu3l75r3YLu0CaZcE/HkKIYyaLH/mfKcrqMhsZyuk6/Jzzhbqd1dsr/i9mBipZPlboDMbqrZae2vkEoEjFecIU5vlz6Ze3IvioyVVhm24zu6duiC30ifkIV1b8VjBEjqO+Ss0b252BJRKc534Om6t+GhJRU8BWhNjU9jtumIr2nGDUys9pjVcXV9/2yOP0DAtEfbuhfPPN5vVrFsH7dsH8ZkLEZ1qs/xZjE1x+cCO9GrfvNrMdm2hVsDYTBnP7E/ByGxwP2nR30NKhG+k4hxh6rL8WXXbkGbnF1X5hDw1poCOj9wPl10Gb74JTZoE74lGKF/HrXn68ONuEqe7UHfbUtGqFcyaBSefDJMmwcKFoFSVYwsh/Kcuy595y2zXFuqEODNvRfhPnTL78G+clpxA/xYKNmyAkhLW7T3GPfPXYzv+G9+VHObBMzrQNaUlmQkJfND9GKuOxdJjQAb92jeBw4fNcqI2WwieefSSinOEqcvyZ4mN4rEpBVQdZ5XVOYmEODNGy2ZT/N+prci4/lro1w9mzIDGjQP5tKJGTV4/X7rpPIW6x5aKbt3gH/+AO++E11+HG27w47MTQriqy/Jn3jLbtYV6tKye4Xeur9+QRAXZ2bB5M+zZA/v2QXExmfv2sXzHr/z26x6a/3aYBv/dD/v3g91e6fF6AZ9br5hx4ttujkslsbGQnAxt25o5Rmlp0LEjtGlj8rxHD2jWLCDPPVoprbX3e4XAwIED9YoVK0JdjHqpuvFWnm6zduvFuOk6sv7ukBZw8h9/b8Jh1Srz5hR+48+1OZ2vqzPUfVqyyG6HYcNg9Wpz6dSpTmWIVkqpHK31wFCXI5gkt2sn0JktY2D9pKQEtmyBTZvMjrg7d8LOnRzM30bZ9u00L95DzKFDlX9HKUhMNJeWLateWrQwFdsmTSAhgfwd+3jp8w0cUzEcatycP199Kj1bNYTjx03L8p49sGMHFBdDQgIcOAC//gq7dkFBgbkcOVK5DM2amcp09+7Qs6fZxTcz0/QuxsUF7/yFOV8zW1qcI5Cn1sTqxmJZu/W01hQfLan8y3Y7mVvWkDnzLXj7bfPGfOUVqTQHgD/HrdVqTVKbDV57zQTr0KHw6adw0kl+KY8QoqqAZHY1jyt8oLWpGDsbEL78Ev73PygtPXGfuDho355m7dvDoAHQrh2kp0NGhpnv07atmf9Tg6EUnYErRp74wNOzpq+f1qYl+9dfzfCPvDzYvh22bYO1a+H990+0cjduDFlZcPrp5pKVJUMufSAV5yhS3VisarsL1641y8sVFJg31eWXwx//CL16heiZiJqo1T/Pzp3NP4oRI+CUU+DRR+EPf5Axz0IEUa0zW9RMaSn89JOpIK9Zc6KyXFR04j49esDtt5vhiRkZ0KWLmRcSgPHFdfrAY23h7tGj6u1lZabFevlyWLbMXB5+2FSmY2LM8zvtNFOJPu006XF0QyrOUcK5Q5HrFtrWrjy3LZMHD8KYMaaLavZsuOQSMxlBRL6+fWHFCrj5ZrM1d2KiWXFDCBFwtc5sUb0DB+Dzz83KQRs3mlbZdevM/zgwwx/69DGT3vv1M8MZ+vaNnHHCsbFmHHRaGlxxhbnu4EEz9PLrr01F+rXX4PnnzW2dOpnGk0GDzP07dgxd2cOEjHGOAtbuvlib4qzuybRumlDtUkYAlJfD6NHw0UewdCmccUbonoQIHbvdDNlYv95c2rYNdYnqBRnjLGqr1pktqvrtN9O6+r//mcu335pKslKm8tit24kKcr9+ZhxwbJS3KZaVmQ8TX38NS5bAjz+aMd1Kmf8F48ebnucWLUJdUr+SMc6igrW7r6xc88VPu7FrXWXXwCrL6Nx+O3zwATz3nFSa66HaTAxy+zs2mxnP3q+faXn45z9h7NgAllyI6FbrzBam0rdihanwLV4M331nJtYpBf37wx13wKWXmjkcDRqEurRV1DS3AzIBNDbW5H2/fnDbbea6vDzT6zxzplmu9PbbzRDOa66BCy6A+Hj/HLsekIpzFLCOhVOW4HXdNbDSGLkPP4QXXjBjmZ1vHFFvVDepyNssfbetWd27wxdfmL+Fyy+Hp56Cu+8OxVMTIuLVKrOjldamJ2zxYlNZ/vJLM/QATCvy5Mlw1lmm8SfMW0g9ZXCtMtvfunaFBx6A+++HnByzDO3s2TB3rlkd5KqrzLC+Pn0Cc/wwIhXnKDF6QAoKKrr6qt0449gx86m8Z08zKUzUO54mFfkyS99ja9Zpp5lxcNdcYz5QNW8OEyeG6BkKEdlqlNnRpLwcfv7ZZNGSJeYD/S+/mNu6dDEVuHPOMUtqtm4d2rLWkLsMBmqf2YGgFAwcaC5PPWXGi8+YAa++Cv/9L5x5pmmNHjUqYoe8ROazEhWfUF230R49IMX7hJK//MWsVblkSVR1v0QSTzPu6zxLPz7etDLs32/C8ZRTTHeeEKJO6pTZkcxuh88+M3NtVq40q10cPWpuS042lWTnJT09pEWtK3cZHNYrq8TFwYUXmktR0YnK89ix5rW4/Xa46SbTyBJB/DI5UCl1PvAvIAaYrrV+3OX264H/A3Y4rnpeaz29useUSSY1Y+3KgROfUK1j4mIUTBnRncnDunp+oJdfNuOX7roLnnkmSKUXgeCue891QxTX1itPv1Pln/bu3aYbdM8eM9P61VfNbHRRIZwnBwYis0Fyuyb8ltmRqLDQTEj/4gszBKOw0Kw53L8/DBhgxidnZpr15SNsiUzXvK1NZrt7nKApL4eFC+HZZ82wmSZN4MYbzdC+1FTvvx9CvmZ2nSvOSqkYYCNwLlAI/ABcrbVeb7nP9cBArbXPg2VrE8DRukuSa/f7mAEpzP5+G3YNNsBmU2itve8c99//mjGsI0aYMc4R2s0S7Ty1bLn726h2DF1BgZko+K9/wdNPw5QpIXg24StcK86BymyQ3PaV3zI7UpSWmi7/hQtNZXnjRnN9UpIZnzx2rFnhKUp7QGuS2c77B23sc3VWrjT/H2bPNj9PmAD33GOG1IQhXzPbHyt3DwLytNb5WusS4G1glB8et0ZyCoq5++mFrHhhJuOnZ5NTUBzsIoSMa1eOBuJjbcQoiI+z8dCo3kwZ0d3zm0drePBBM4li5Eh47z2pNEewzLREJg/rSvHRErfj6aw8jbkDzFJOzz4L558PjzxitoAV9UFYZDZAztZ9vHn3Uzzz6Yaoyu06Z3Yk2LfPrNg0aJCZtHfRRWbFhm7dTG/n6tWmZ2vuXDNuOUorzVCzzAYvuR1MAwbAG2+YFTl+/3szFrp7d7juOrN+dj3lj9pRB2C75edCYLCb+41RSg3FtHTcpbXe7noHpdQkYBJAag2b9LPzi7joxyX86cs36T1lblQt0+M6zmnMgBTGDEjxvRVn6lRT8bnhBpg2TSrNUcKX8XGJjeKxKQWOWfyJjeL5z9K8yn9XTzxhhm38/vemZSEmJrhPRNSU3zIb6pbbu2bP51/zHuOyTpn8ceSUqMntOmd2faS1aYF0rsRQUGCuP+UUMzxw2DDzITyKK8je+JLZrhvnxNgUO/cfI6egOHR/V6mp5kPSffeZ3skXXoC33jIrNP3tb2bITT3ijxqSuwFGruM/FgKztdbHlVI3A28AZ1f5Ja2nAdPAdPnVpBBZnZN4q2U7ADod3h1Vy/RkpiUyc2IW81YWVrwY1lm31p+r+P/27jw8yur8//j7TAJKvrIEUEGjCF8WEdwICv6oWisgWpRNFLHVuqGtraVa60IvVGhda7VSWlfcF4qhiqit1WqtWpQkbiCySAUjKFtwAb9mmfP748yEyWQmmWSW55mZz+u6ciUZhpmTmee55zzn3Oc+L73kKmecc46r1Ztj+WISX/i4ifdhXbGumlmLl1MftBQEDD866oAm04QAS7YWMe6qaym5/hq3Ocodd3jx50jiUhazIbm43fOMiVzz73e4+oW7WXz/JWw/+mEg9/N548XscM5qk4vTbGWtGzl++mnXYV61yi0oGzPGzXAee6wbcZaEJBKzIzfOOX7g3ryyajOPv7WessqqFsvbpV3Pnq4Sx5VXulmFOXNgwQI3ozBzZuwtwn0oFR3nKiByD8YSYEPkHay1kfME9wA3peB5GyntVUzR2SPhrzdx2xGd6ZvtAacNFlZWUVMXpKyyipljB7WcC7V0qdsBaMAAt72mOs15p7kLrPB0nysfa1m+8ctG039llVUNx9ycwiN49UfT2GvOHHcRdvjhXvw5khhfxGyA0gO6wp9n89TfRzHu+l/Q4/Sx8OMfu4v5HFuJH0tkzA5fiPoiNzUZ//d/8Le/uSoYzz0HGza4z5bvfhcuv9zlKnft6nUrs1YiMTtooT5o+aa2nrr6xMvbZUz37nD99W5dzK23ug70/PkwdaqrFd2/f2bb00qpyHFeCvQzxvQ2xrQHpgCLIu9gjOkZ8espQFqSWwaOOAyAvjs2p+PhfS06p+n5ZRubz3EKb6HdoQMsXAhFRd40XDwVHqG49YWVDTmm4RGv4qL2DXmX7QoDnDi4Z6PfDTQ6xp6eeCEUF7vAJ37mm5gN7oP/9Gnj2P29d9wo5J//7Com5Hh1jlh5qL7JTW2tmhp4/nmYPh1KSmDCBPjLX1zt9/vvh40b3aK/889XpzlJycTseOXtPNO9O9xwgyt/e9llri8ycKBbRPjBBy3/f48kPeJsra0zxvwU+DuutNE8a+1yY8wsoNxauwi4xBhzClAHbAN+lOzzxtStmyt9snZtWh7ez6Jzn04c3JOlH2+LnQu1Y4errdirF7z+ujt4JS9FB9HIUeT2MUofDejRsVEJrbLKqoZjbMghvd2I0tVXw7//rW3afcpXMTtSp04uzef0093U7bBhLk7Nng177532p8+0ePmqntblbY2vv3b1lZ95xqViVFe7kpQnnuh2kPve91xahqRUMjE7PLLsu2Nszz3h5pvdxlo33+wqfD30EAwf7goXjB7tqxnxlNRxToc21wM99FDXIVy0qOX75oDoWqDR9R+b5DFZ63YF/OMfXY3FY47xsPXitegaoZFlsRKpIdvkGNuxwy306NTJLQTK4w9Ov5ajS6eU1XGurnYd5jlz3KzYDTfAT37iqw/PZESWF4veBdDX5fm2bHGfrQsXuvJxNTUupWbsWDjjDNdZ7tDB61bmtGRjdvgxfHuMgaum8thjrpTdxx+7haM33pj2fPiM1XFOlzYH4PHjXemTZctS3yifaXWtRmvhV79yyfk//7krJSZ5L9ZGDLV1bjX25KH7MXFIScxFKHED76JFbrvVq65yuao50tlpLXWcU2DVKneh//e/uxX4c+Zk/eizb2rsJurTT+Gpp6CszA22BINucGrCBHeejxiR1xfIXkh5zParmhq46y53Eb15M0ya5BYVpmkjlfztOF96qXuhv/46pz+wK9ZVc/uLq3h9zZbErzTnznUbnFx8sZsSDaQixV1yTcW6asoqq3iyooq6+qYf7gl98P/oR65+58SJLmd1r70y/4d4TB3nFAkG4ZZbXO58UZH7EP3xj7OubGa447Jh+zetHiHMuI8+cqPKCxfCkiXutoED3fk8caJb/JvDn6/ZJiUx28+++sp1mG+5xR13N93k0oFS3IfJ5AYo/tK7t9vHftMmr1uSNuGT4LXVrtMciEj8j6uy0l1UnHSSOs3SrNJexezbpUPM1diQYHH9++93Qe6ZZ1zVlpdeyuBfIDklEIArroD333d5z5dcAgcfDA884EakskDkgq4F5Z9QWNB4wZbnrHWztNdd59Id+/Z1s5O1tW7W6IMP3NdvfuM2tVCn2VdSErP9rGNHV+952TI46ig3+HfMMfD22540J/d6T336uO///a+37UiD8MrZ8EIAi3sDR/Tt3vwV5JdfwmmnuVG/Bx9Up1laFF64FOvDvbl/a2CMW+jx3nuwzz7u+AtveCDSFgMGuDJnCxe6RWjnnOO27v39792IlA9Fx+xwmbBTS0u83xnwq6/cRiRnneU+Nw8+2HWcO3eG225zuaXl5W6x78CB3rRREpZ0zM4GBxzg0rbmzYOVK131nUsucRkGGZR7qRoffACDBrmtO6dOTX3D0qi5HKTowuYYQ329WxzQbPANBt0K9YULXX7aiBEZ+EskF7R0PCacL7d6NQwd6mpzvvaa6/TkAaVqpJG17gP0ppvglVdcGcSLL3Yfonvumf7nD0lLzE6XYBDeegsWL3b1ld99193WvbsbvRs92q0RyvIc8nyWspidDbZvd+lbc+e6nPt77oGRI5N6yERjdnYliSWid2832rVmjdctaZWWcpCiC5uffqTbv6DZCTNrXXmwBQtciRd1mqUVwjuZhUUH3oSDb79+bqZjwgTXsZkzR9vqSnKMcbvPjRkDb77pOtC//a1b+Dx1qqvw8N3vpjUPOi0xO1WsdXnKS5dCRYVL1aushC++gIICV1/51792r9HRR2ddvrjElrKYnQ26dHGfJaef7spWjhrl6j/feqsrTZxGuXe2dOjgVlyuWuV1S1olMsjW1Aa5/cVVTB/Zv+FAj675OXifzg07A0Zupdlgxw7XSZk3D372MzdtLtJGsToJQOIjGOPHu4u4W25xx2S4sotIsoYNczNqH37ojqv5890xttdecOqpbsZtxIiUp6jFqqcbeT60OmYna+tWt8nICy+4UnHh1KjddnN5y2ec4TrJY8ZoE5I8kHTMzhbf+Y7b1n32bPf58s9/uhhw1FFpe8rc6ziDmxLOso5zOMjW1AYJAq+v2cLSj7c1BNfoPepjJfs3nAg1NXDCCfDGGy4/bfZsLeaQpLRUdD+hTsANN8CRR/L1DTdTOPNaPhhzGkMG9Gz+/4gk6sAD4d573SjUc8/t6kD/6U+w776u4zh+PBxxREpmPCI7xgUBE7OiQcIxu7V27nSdhaVLd32FP/M6dYLjj3cLKkeMcPnJKheXd1ISs0N8n+bRoYPbwnvSJFe2ctQod+GYppHn3O04P/KIm67Kkg5jOMhGlpiLDq7RUy1xd//55S/djoCPPeY+LESSFD16Fr3ddniVdrPBtaCAiiOOZ87A1TxQeTWPX/F77B+u9mcgluzVoYP7AJ00yS2Ae+YZeOIJV7f+d79z/z58uMvrPfZYN2JdVNTqp4nsGEeWmIuM2wnH7Hishc8/d+sEli93HeTycvdzfb27zz77uIuBs85yG5AccYRSLyQ1MZssK2VXWupSkv7zn7Sma+Tm2dW/v8vl2rw5q+rHlvYqZvrI/vG3yqbxlV/kaEbDgVxe7kZcpk9Xp1lSJnr0DBpvt11c1D5ucI08Zpes3cq/SwaztngfppQ/y5K1F/o3CEv269jR5TxPnQrbtrkF0q++6r7PmuU6poWFbkH54Ye7lIZ+/dyCuR49YL/9mk3xCHeMw3V0W4rb0dshN9i+HVascB3kVavc99Wr3VqdyIoh3bq5hbYnn+y+H3GEG00XiZLKmJ2ymZJM6NLFbfueRrnbcQYXgLKg4xw9DRKzQ0zsK78mhfPvuAP22MPt7y6SQtGjZy1NQwNNivLPHDuIdu0KeaR0LDNfvJvi918Gv23+ILmpa1e3QHXCBPf79u0une2119wo1bPPutrQkYqKXApInz6uE11SAv37s6J+d5Z/up3BPTpyYI+OlFrLU4fCB59+yaCenRjw8XvwXwvWsuqzL5m7eBlFO76ie83XXHBQZ/at2+FykjdtcmXfIlMLCwpc2a1+/Vz+Zr9+7uvAA131gCyZRRXvtTZml/Yq5rE31zPz6WUErW2I2a2eKclxud9x/s53vG1LC6I7w3FHJIhdxLzRfT77zE1JXnSRq8UpkkbNTUOHRzO+rXX1xsEds9U7a3j0/OG8eWxvvt72Nn1mXg7jT0jbFqoicXXp4jaEOukk97u1bpbyo4/c6PSnn7pR4BUr3MYLzz/vFl0DA0NfkQ4MfUXrD8yLvOF53Eh4t25uYGfwYFcN4JBD3GfXAQeo6oykRUupQxXrqpn59DLqgi5q10TEbF/nOGdYbnace/VyiyFWrvS6JS2KrqYReaUXvQo2OmepyZXftde6nZ5++tPM/yGS1+IthAp3mg27Cu83BO8FT7hNFy67zJVMFPGSMa4jG2+W0lqorubJx1/i+VeWU4+rzWwChnqgsCDAlScdBMbwwcavGLhPZwb07MTKz79m1nMr2NauiK86duGOn4xkSD/VShZvxZrdnvvyGuqDu/b2CBiTm6XskpSbHeeCArdlaBZU1ojsDBtjCFrbMKJ8578+4uUPNxG0lsKAYfLQ/eKPSN93H9x1l+uEhEfcRTIo3mhGQejYnTikpPEx26cPXHklzJzpck6PPdaDVoskyBjo2pXeY0fy+md7NInZBQYK6vcOxeyuFG4zTN69GxOHH8qlw0c0dFCGqAMiPhEds4f36cZu7Vx1r0DAMGvcYHWYY8i9nQPDJk50K4+zYNQ5nONcXNSeWYuXN3Q26kOF88MMsFu7GKta1693+W8jRrjpRK2oFh9IqITRzp3u2O3Y0VUMaEN1A7/SzoG5K+mYLeJTvi89l0b5u3NgWGkp/PWvbgFIly5et6ZZkVd9A3p0bChv9Nib6xvdzxInt/lXv3LTiPfeq06zeCJWsE1oeq+oyB23Y8a4FKN585q/v4gPJB2zRTwWr4OstIyW5W4v68gj3feKClcM3kOtuYKLLm9UUxvEGAgEDMGgbZrb/Le/uUL/11zjcrtFMizpOp+jR7vtf2fPdjubnXNO+horkoC0xmwRj2VVbWYfyt2O89DQaPtbb3nacW7rARqrBmOTQL5uHZx5pltg9atfpfPPEIkrJXU+r7nGlQW7+GJ37h58cHoaK9KCtMZsER/IutrMPpO7HefiYlf78q23PG1GMgdo9JRJo//3ySdueruuDsrKcio3VLJLi9VeElFQ4Ha6POQQt8D1hRdS31CRBKQtZov4REpidh7L3Y4zuHSNV17xtAmxDtCkk+83bXJT2tXVsHixu0AQ8UisskbRx3hCx3yPHvCLX8DVV8N777lOtEiGpSVmi/hIymJ2nsrdqhrgdtH7+c+hqsrTbUkjD0Agudyi+nq3neS//+22jj3iiDS1WqRtYm3qM2vx8sSO+W3b3GYop57adBe3LKOqGtkrpREND28AAB9vSURBVDFbxOeSitk5JNGYHchEYzwzZIj7/u67njajtFcxFx/Xl9JexXG3Jk5ITQ1ceCH84x/uokCdZvGhhZVVfFu76xh/ftnGhmP+29ogZZVV8f9z165w7rkubWPDhsw1WiRCymK2SBZoLmbX1Aa5/cVVVKyr9rqZvpHbHefBg93399/3th0RwtOABYbW5RYFgzBhgtvo5Ne/hvPPT29DRdqgYl01C8o/adgxsKAgwImDe1IYMIArz/VkRVXzQXj6dDezMmdO2tsr0pI2x2yRLBAvZrcvDBAAgsDra7Zw5r1L1HkOye2Oc5cuUFICy5Z53ZIG4dyiS0cPaN30xx//CM89B3/4gyvbZUx6GyrSBkvWbqUutAGEAU4tLWHqsP2ZPHQ/wkdsfX0Lo3Z9+rgNjO68E77+Ou1tFmlOm2O2SBaIF7MfPX84I/p1J2DQbEuU3O44gxt19lHHGRpPAybkn/+EK66A738ffvaz9DZOJAmRo3O7tQswaUgJABOHlLBbu1aM2v3yl27zohtvzECrRZrX6pgtkiXixezSXsVMH9lfsy0x5PbiQHD1je+4w41cZeOuenPnwiWXQP/+8PLLrvKAiI/FW43d6lXa55wDDz8Mb7yxa0OjLKLFgSKSDZqLzflUXSPRmJ37HeeHHoKzz4YVK+DAA5N/vEy65RbX8T/lFHjkEejY0esWiWTOF1+4jVCKiuDtt6FDB69b1CrqOIuIZA9V1QgLLxD0WbpGi2bPdp3mKVPgySfVaZb807kzzJsHK1fCjBlet0ZERCQPOs4DB0Ig4ElljYp11cx9eU3rV6Ledx/MnAk//KEbaW7XLj0NFPFYi+fIyJHwk5/AbbfB3XdntnGSl9oct0XygM6PXN85ENz07uDB8NprGX3a6ILiCa/G3rrVjTQfeyzcf7/bilgkByV8jvzud/Df/7oa5h07whlnZL6xkhfaHLdF8oDODyf3R5wBTjjB7bSXwdJWLRXNj3vVNmOGy+2cM0edZslpkedIs0X2O3SAp55yW3DfckvmGyp5o81xWyQPRJ8fZZVVeXk+5P6IM8CYMe4D9+WX4eSTM/KU4RIvtXVB2hUGKC5qz9yX11Bc1J5lG77gyYoq6uqDFAYMk4fux8QhJZSueBPuugt+8Qu3KEokh4XPkZraYEOR/aUfb4s9itG+PVxwgSvH+M47cNhhnrRZcltk3C4IGDZs/4bH3lxP9c4aiovaM2vxcr6tdf82a9xgpg7b3+smi2RM9PkR7sfk2+hz7lfVAPj2W+jWzVXXmDs3NY/Zgop11ZRVVmGAQft0bgi4FldkPPJVN8CedTt4/cGf0a7HXrB0Key+e0baKeKlinXV3P7iKl5fs4WghQIDl44ewMXH9W16523boGdPuOgitxGQz6mqRnYJl92KHNyorXMxO2AgYAz1QdsQuwsDhvkXHpU3nQUR2HWebNj+DY+/tb7luJ1FMlpVwxgzxhiz0hizxhhzZYx/380YMz/0728aYw5IxfMmbLfd4Pjj4fnnIQMXCuE8oCfeWk9ZZRXLN3xBTSgAQ+NOc/j3KW89Q7stm+DBB9VplrzRqiL7XbvC+PGuxGR1fk0NpoPv43YGhWP2rS+sZNbi5Rigrn5XzA5aCAZtow1bg9ZqJzXJO+HNgCYOKcnbzVGS7jgbYwqAucCJwEHAGcaYg6Ludh5Qba3tC9wG3JTs87ba97/vFhhloCxddB6QhYZ938GNXrQvMIw+aG/aFwYoqvuWsyue4YvjRsGQIWlvn4ifRG5pPHPsIJas3Ro/Z27GDPjyS7juusw2MsdkTdzOkIRidrsA047uQ2HAuN/zrLMgEikct08/cv+G3QbzRSpynI8E1lhr1wIYY54AxgEfRNxnHHBt6OcngT8aY4zNZJ7IuHFuinfhwrTnD0fnN08aUsKkISUN04DVO2saduGpWFfNV7fPodvOL2Dm1Wltl4gfRU6Rz1q8vPkV24ccAuef71Kupk2Dg6L7epKg7IjbGdKamD1qUI+82UlNJJbImL2wsoqa0ELBfMlzTkXHeV/gk4jfq4Bh8e5jra0zxnwBdAO2pOD5E7P33nD00VBWBtdck9anCl+JRQfXWAdUaY8iKLsXhg1zJehE8khkeaOAMQStbVTRIGYQnj3bncc//CH85z9u4aC0VnbE7QxpVczuVZwXnQORWNoUs3NMKnKcTYzbokckErkPxphpxphyY0z55s2bU9C0KBMnuo1QVq9O/WPTuFRROA+oxYPo7rvhk0/gN7+hUQKdSB6InCIPBi0BY1rOmdtrL7jnHqisdOeNtEX2xO00C8dtILGYLZLH2hSzc0wqRpyrgP0ifi8BNsS5T5UxphDoDGyLfiBr7d3A3eBWZ6egbY2NHw/Tp8Pf/gb9+qX0oSOvwhqVmIsXhLdvd5UBfv97N9J8/PEpbY9INoieIp85dlCjafG4JkyAyZPdOXT55dqSvvWyJ26nUThuq8ScSGLaHLNzSCo6zkuBfsaY3sCnwBRgatR9FgFnA/8BTgX+6Ume3P77Q48ekIZySY02c6i3PPbm+vg5P4sWuZq0mzbB2LFw++0abZa8Es6RG96nW8wp8oRcdhksWAAPPODqO0trZE/cTqMla7c2lAmtC1pmPr2MAT065k0HQKQ1wnE7HzvLkZLuOIdy334K/B0oAOZZa5cbY2YB5dbaRcB9wMPGmDW4EYspyT5vmxgDQ4empeMcvgoLB2FLnJyfjz6CKVNgwAB47jkoLU15W0T8LNa2rYnU/4zsbJf2KnbrAoYNc7ts/vjHUJgf+zmlQlbF7TQa3qcbBQFDXdBdD4RLzOVjZ0CkOW3ZbrtJzM4RKfmksdY+BzwXddvMiJ//D5iciudKWmkpPPus2357jz2SfrjokbOyyiqerKiivj7YNOenrs5VBGjXDp55Bkryq4SLCMTe1jiRABwzaF9xhVu7cN11btGgJCyr4naKRcbtWeMGM/PpZQStVYk5kThaG7fb0tHOFvk3RDN0qNsE5e23XZWNJMTKa44sY9ToKmvzZjj9dHjlFbjvPnWaJW9F58g111GJ3KUqZtCeMAHOO88tEjzmGBg1KoN/iWSjWHnN8y88KidHxkRSJdG43WLMzgH513EOp0ZUVCTdcV5YWdWQmhGd19xo6rm83I2Kbd7s8jHPPjup5xXJZvFKf0WLvjAtLAjEnsmZMwdee82layxbpp03Ja7wFu/Rec3zLzwq67cLFkmnROJ2wjE7y+Vfx7lnT9h3X1i6NKmHqVhXzYLyTxrVZoqZ1/zllzB6NHTqBK+/rp0BRUisFm7k1GB90HL6kfuxb5cOTYN2hw6u8zx6NNx6q9tdUCRK5EhzZNxWXrNIYlqK2wnH7CyXfx1ngBEj4B//gNpal2/cBkvWbm1YUAJQEDBgbdMrqz//Gaqr3fOp0yySsFi7ucUNvqNGwaRJcP31cO657gJZJEL4Q93iClSHCxkpr1kkNVoVs7NYfnaczzwT/vIXV8/55JPb9BAJ1TL85htXp3n0aFXPEGml8NRgWWVVzJ04mrjxRnj6abdQ8M470908yTKqPyuSXpHpHMVF7VmydmvD7bkkPzvOJ54I3bvDQw+1ueOcUJ7mDTe4Ws1XXZVkg0XyR2TFA3BrCWrqgvHroof17QsXXeRmeS6+GA4+OIOtFr9LNLdeRFonVtm5XK2oAfnacW7XDqZOdaNS1dVQ3LY3tNl8nzfegN/+1i0E/O53295WkTwSXcJo0pCS1q3MnjnTzSZNmeLWMRQVNTyuOkySSG69iCQuVtm5tpQcjfW4fo3ZAa8b4JmzzoKaGvch24yKddXMfXkNFeuqE3/szz93pef23x/uuCPJhorkj+iAa3E5qAWGxFZm77knPPIIrFgBl1wC7Arst76wkjPvXdK6c1myTptitoi0SaxOcjgtKuG4HcXvMTs/R5zBLdQbNAgefBAuvDDmXWLVaZ7YUrL7zp1ukdLWra5EVqdOafoDRHJPrMUlMeuiN2fUKJcedf31cPzxLOlxRM7WE5XG2hSzRaTNYtV3TjYtKhUj1umUvx1nY9yo8xVXwOrV0K9fk7tEvnnRdZpjvonV1TB2LCxZAo8/rioaIq0Ua3HJ8D7dWl9j97rr4F//gvPOY/xPf8mnK77ikz26s7TvEFVQyGGtjtkikpTmFgS29ZxrzSZZXsjfjjO46hpXXeVW49977676RCHhNy9c99MCNbVBbn9xFdNH9m98UHz9tVt0WFnp0j8mTcronyKSK1KyuKSwEMrKYNo09r1lNtcD9e3asfKpFzlIHaicFStm14YWlvo1X1Ik26V6QaDfF/Lmb44zuI1QLr8c5s2DP/yhyT+H37wzhu1P+8IAASAIvL5mS+O8m61bXXWO8nJ1mkVSINZUXavtvbcrT1dZCeXlFHTvzkGXXejSqSQnRcfsAuNq7D9ZUeXbfEmRXJCSmB2htFcxFx/X13edZsj3EWdweZCrV8Oll0Lv3jBuXKN/Dk83TBpSwu0vruL1NVsa59188zmcdBJ8+qkrbzd+vEd/iEjuSGSqLuFV14cf7r4/+KCrqX777XD11WlquXgtMmYvWbuVDdu/4fG31vs2X1IkF6Q0ZvucOs6BADz8sCsZN3UqvPpqzM1KSnsVM31kf5Z+vI3auqDbKbCigtobLqZdu0L3/4YNy3z7RXJQS1N1sUogtRiIR42CU05xqVkXXOAqcEjOCnegK9ZVU1ZZRU1tEGMMxUXtvW6aSM5JS8z2qfxO1QgrKoJFi9ymKGPHwvr1Me9W2quYR88bxrn9/4ej11Zw1oxz2FRfwLL5z6rTLJJizU3VLays4tvaNkwL3ngj7NjhNkipr09xi8WPSnsVM3PsIAIBQ9BaZi1ernQNkTRIS8z2IXWcw3r0gGefdfmPhx/uPmBra+GLL9zPhx4KJ5xA6cgjmXHucdz3xEw+69idyT+4mX8FO3vdepG8UbGumgXln2BDvxcUtGLV9cCB7nxesMCNOkteqN5ZQ9DanPjQFsk2ScVsH1KqRqTBg13KxYwZrtrGggXwySeweTOMGMGODZ+zpdu+bBk7lQVrd/D3/z2Sb/bolNUHgEi2WbJ2K3VBF4INcGppCQBzX14Td4qw0fTh5ZfDli1w881uk5TDDsv0nyAZEn7vi4va+7q8lUguSzpm+4w6ztEOPRQWL3bVMS64AA45BJ59loq9+jbKz5k5YxD77azx7RsrkquiF6EM3qdz3Ny5uHl1V1zhdvW8+2740588/oskHaLf+5ljB1GtmC2ScSmJ2T6iVI14TjvNjTS/+ioccUSTUivVO2t8WypFJJeFF6FcOnoAj54/nOqdNXHLIMUtkdS1K0ye7Lbn3rHDo79E0kkxW8QfUhKzfUQjzs1pv2v1td93shHJJ9G7UsU7N5s9by+80FXUeeQR97PkFMVsEf9IScz2CWOtbfleHhg6dKgtLy/35Lnj5df4Pe9GJF81d27G/TdrXTWcbdvgww/dboMpZIypsNYOTemD+pzf4rZitog/tSlmp1miMVsd5yjZkF8jIiny1FMwYQI89hiccUZKH1od58xR3BaRZCUas5WqESVWfo0CsIj/RY5SAImNWJxyChx0kKukc9JJ0FmlJbOR4rZI9mlTzPYBdZyjZEN+jUi+ai6NKjziWBgwYAx19QmMPgYCcM89cOyxcM45UFYGxmTor5FUUdwW8aeUx2wfUMeZpm9sc9tGiog3mpuObzTiWG8BiyXB0cf/9//gt791JepefNFtzS2+Fh2zFbdF/CdtMdtjeV+OLvzG3vrCSs68dwkV66obto0EV6Bb27OKeK+5MkXhEccCA+0KDO0KAwQAYwzFRe3jP2jYJZdAt25w113p+wMkJWLFbHCr9of36caStVsVs0V8oLUxu8BAQcCwYfs3vj6H837EOV5unBabiPhLrOn4yJHHyBHHlZ99xcynlxG0llmLlzOgR8fmz9/dd3epGrfdBhs2wD77ZO4Pk1ZRzBbJDvFSqMJxO3JTIoCyyiqerKji8bfWU1ZZ5dtzOO87zpFvbOSVjhabiPhL9HQ80KSjdPFxfalYV83zyzYStDbu+Rsz727aNPjd72DOHLjhBi/+REmAYrZIdoiVQhXrAhfcBbEB6upjn8N+Ki2Z9x3n8BsbfaUzc+wgLTYR8ZnIIvpzX14TcxrwzHuX8G1tEAsEDE1Gp4uL2jNr8fKmI5P9+sFZZ8Ett8D48a7Gs/iOYrZI9oje+CT6AressoqFlVUNiwQLCwLU1zeeVQyf635ZPJj3HWdwb+yStVsbrnS+rQ2ybMMXWmwi4mOxpgHDQdniFnCM6Nud6SP7A7tGpwPGxB+NvuMOeOUV+MEP4L33oEMHr/48aYZitkh2io7bBho60vVBy+lH7se+XTo0mlUMD4SAP2aT1HEOGd6nG4UBQ029W9n5ZEUVk4aUNCwSFBF/iVdJITIoTx/Zn9JexY1Gp7GWQMBgsE1HJjt3hgcegO99D667Dm680ZO/TVqmmC2SfWKl3JVVVjXE7ElDSprMKoY7zQZ8MZukjnNIaa9iJg/dj8feXI8F6uu9v6oRkeZFTwPG60xHj3JELkppco4fdxyce67Ld/7BD2Dw4Ez+SZIgxWyR7BQdt+PNFEWvZ5g8dD8mRnSsvaKOc4SJQ0oaXfl4fVUjIq0XHZTDt7VqGv/mm9023Hfd5RYLii8pZotkv1gxO3y7H9OvjLW25Xt5YOjQoba8vDzlj9vSykw/rdwUEQ9NmeI2RNmwAdonUAs6ijGmwlo7NA0t8610xG3FbBHJhERjdlIjzsaYrsB84ADgY+A0a22TqtXGmHrg/dCv6621pyTzvG2R6MrMeFc+IpJnzj4b5s+H55+HceO8bk3KZEvcVswWET9KdufAK4GXrLX9gJdCv8fyjbX2sNCXJ53mM+9dwuNvro+7i42ISCOjRsHee8NDD3ndklTzfdxWzBYRv0q24zwOeDD084PA+CQfLy0iS1SBf1ZmikjmVayrZu7La1re0rWwEGbNgokTM9OwzPF93FbMFpGwhGN2hiS7OHBva+1GAGvtRmPMXnHut7sxphyoA2601j4V607GmGnANID9998/yabRaMMDP67MFJHMavW2zNOmZa5xmeP7uP3p9m8aNkJQzBbJX62O2RnQYsfZGPMi0CPGP81oxfPsb63dYIzpA/zTGPO+tfaj6DtZa+8G7ga3yKQVj99E9IvdbPkpEckL+bItcy7E7cKAYcqR+6vDLJLH/BizW+w4W2tHxvs3Y8znxpieoVGLnsCmOI+xIfR9rTHmFeBwoEkATqXoF7t6Z02jwvhaiS2Sf2LtNgi5Fw9yIW7XBy37dOnQ6P3ItfdJRJoXL2aDd/Eg2VSNRcDZwI2h709H38EYUwzstNZ+a4zpDowAbk7yeVvU0ovtt6F/EUm/WHVB8zAeKG6LSFaIV8vZy3iQbMf5RuAvxpjzgPXAZABjzFDgImvt+cBA4C5jTBC3GPFGa+0HST5vi5ornO3HoX8RyYzo8mV5GA8Ut0Uka8QqOellPEiq42yt3QocH+P2cuD80M9vAAcn8zxtFa++Z3OjGiKSX/ItHihui0i28zIe5OWW25GjGsVF7Rtqg2r0QiT/+HVbV2ks/D6VVVZhvG6MiHjKy7idlx1n2NVJVs6ciGj3ueyxsLKKmrogZZVVitkiecyruJ3sBihZLVaOjIiI+JNitoh4La87zuEcmQKjXalExPHbLlWyi2K2iETLdMzO21QNUG6jiDSuBQpK3/IzxWwR8Tpm53XHGZTbKJLPomuBThpSopJnPqeYLZK//BCz8zpVQ0Ty28LKKr6t3RV0LSgVQETEp/wQs/N+xFlE8lPFumoWlH+CDf1eUOBGLyYNKVGpShERn/FLzFbHWUTy0pK1W6kLuhBsgFNLSxoFW+U6i4j4h19itlI1RCQvRVZo2K2dG7kIU9kzERF/8UvM1oiziOSl5io0aHtnERF/8UvMNtbalu/lgaFDh9ry8vI2///IciWaYhWR1ko2hhhjKqy1Q9PQNN9KJm4rZotIMjIVs3NyxDm6XInyE0WktVT2LHMUs0UkWZmK2TmZ46z8RBGR7KGYLSLZIic7zsVF7QkYQyBU16+4qL220BWRFmm7bW8oZotIW3gRs3MuVaNiXTWzFi+nPmgpCBh+dNQBzFq8XFOAItIspQt4QzFbRNrCq5idcyPO4Sk/C1hrWb7xS00BikiLlC7gDcVsEWkLr2J2znWcI+v8tSsMcOLgntpCV0RaFB07FCsyQzFbRNrCq5idk+XookuSqMyRiCQilbFC5egSp5gtIm3hRczOyY6ziIjX1HEWEckeicbsnEvVSIRWzouIZA/FbBHxi5yrqtESrZwXEckeitki4id5N+KslfMiItlDMVtE/CTvOs5aOS8ikj0Us0XET/IuVaO0VzGPnj9cK7ZFRLKAYraI+EnedZzBBWIFXxFpicqi+YNitogkIhMxOy87ziIiLdGiNBGR7JGpmJ13Oc4iIonQojQRkeyRqZitjrOISAxalCYikj0yFbOVqiEiEoMWpYmIZI9MxWx1nEVE4tCiNBGR7JGJmK1UDRERERGRBKjjLCIiIiKSAHWcRUREREQSoI6ziIiIiEgC1HEWEREREUmAsdZ63YaYjDGbgXVt+K/dgS0pbk5bqS2x+aUtfmkHqC3x+KUtbWlHL2vtnulojF/lQNz2SztAbYnHL23xSztAbYmntW1JKGb7tuPcVsaYcmvtUK/bAWpLPH5pi1/aAWpLPH5pi1/akav88vr6pR2gtsTjl7b4pR2gtsSTrrYoVUNEREREJAHqOIuIiIiIJCAXO853e92ACGpLbH5pi1/aAWpLPH5pi1/akav88vr6pR2gtsTjl7b4pR2gtsSTlrbkXI6ziIiIiEg65OKIs4iIiIhIyuVUx9kYM8YYs9IYs8YYc2UGn3c/Y8zLxpgVxpjlxpifh26/1hjzqTHmndDXSRlqz8fGmPdDz1keuq2rMeYfxpjVoe/FGWjHgIi//R1jzJfGmOmZel2MMfOMMZuMMcsibov5OhjnjtCx854xZkgG2nKLMebD0PP91RjTJXT7AcaYbyJenzvT3I6474cx5qrQa7LSGHNCqtrRTFvmR7TjY2PMO6Hb0/aahB4/3jnsyfGSL7yK2aHnVtxu2gbF7ObbkvGY3UxbMh63FbNDrLU58QUUAB8BfYD2wLvAQRl67p7AkNDPHYFVwEHAtcAvPXgtPga6R912M3Bl6OcrgZs8eH8+A3pl6nUBjgGGAMtaeh2Ak4DnAQMMB97MQFtGA4Whn2+KaMsBkffLQDtivh+hY/hdYDegd+j8KkhnW6L+/VZgZrpfk9DjxzuHPTle8uHLy5jdwnuuuG0Vs/0Ss5tpS8bjtmK2+8qlEecjgTXW2rXW2hrgCWBcJp7YWrvRWlsZ+vkrYAWwbyaeuxXGAQ+Gfn4QGJ/h5z8e+Mha25bNEdrEWvsqsC3q5nivwzjgIessAboYY3qmsy3W2hestXWhX5cAJal6vta0oxnjgCestd9aa/8LrMGdZ2lvizHGAKcBj6fq+VpoS7xz2JPjJU94FrNBcTsBitk+iNnx2tKMtMVtxWwnlzrO+wKfRPxehQdB0BhzAHA48Gbopp+GpgXmpXuaLYIFXjDGVBhjpoVu29tauxHcAQfslaG2hE2h8QnlxesC8V8Hr4+fc3FXw2G9jTFvG2P+ZYw5OgPPH+v98PI1ORr43Fq7OuK2jLwmUeewX4+XXOCb11BxOybF7OZ5HbPBX3E7b2J2LnWcTYzbMloyxBizB1AGTLfWfgn8Gfhf4DBgI24aIxNGWGuHACcCFxtjjsnQ88ZkjGkPnAIsCN3k1evSHM+OH2PMDKAOeDR000Zgf2vt4cClwGPGmE5pbEK898PLc+oMGn9oZ+Q1iXEOx71rjNtUoqh1fPEaKm43pZjdwhN7H7PBf3E7b2J2LnWcq4D9In4vATZk6smNMe1wb96j1tqFANbaz6219dbaIHAPKZzmbo61dkPo+ybgr6Hn/Tw8LRH6vikTbQk5Eai01n4eapcnr0tIvNfBk+PHGHM2MBY404YSsUJTbFtDP1fgctT6p6sNzbwfXr0mhcBEYH5EG9P+msQ6h/HZ8ZJjPH8NFbfjUsyOww8xO/Q8vonb+Razc6njvBToZ4zpHbpangIsysQTh3J77gNWWGt/H3F7ZP7MBGBZ9P9NQ1v+xxjTMfwzbjHDMtxrcXbobmcDT6e7LREaXYl68bpEiPc6LALOCq28HQ58EZ7uSRdjzBjgCuAUa+3OiNv3NMYUhH7uA/QD1qaxHfHej0XAFGPMbsaY3qF2vJWudkQYCXxora2KaGNaX5N45zA+Ol5ykGcxGxS3W6CYHYNfYnboefwUt/MrZts0rXj04gu3anIV7spmRgaf9zu4If/3gHdCXycBDwPvh25fBPTMQFv64FbUvgssD78OQDfgJWB16HvXDL02RcBWoHPEbRl5XXCBfyNQi7vaPC/e64CbxpkbOnbeB4ZmoC1rcDlX4WPmztB9J4Xeu3eBSuDkNLcj7vsBzAi9JiuBE9P9moRufwC4KOq+aXtNQo8f7xz25HjJly+vYnYL73lex23F7GbbkvGY3UxbMh63FbPdl3YOFBERERFJQC6laoiIiIiIpI06ziIiIiIiCVDHWUREREQkAeo4i4iIiIgkQB1nEREREZEEqOMsIiIiIpIAdZxFRERERBKgjrOIiIiISAL+P5PADO4Q4kDbAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 864x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_mom(mom2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compare Kalman Filter when data has shape (signal)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_kalman()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Debiasing is here to correct the wrong information we may have in the very first batch. The debias term corresponds to the sum of the coefficient in our moving average. At the time step i, our average is:\n",
"\n",
"$\\begin{align*}\n",
"avg_{i} &= \\beta\\ avg_{i-1} + (1-\\beta)\\ v_{i} = \\beta\\ (\\beta\\ avg_{i-2} + (1-\\beta)\\ v_{i-1}) + (1-\\beta)\\ v_{i} \\\\\n",
"&= \\beta^{2}\\ avg_{i-2} + (1-\\beta)\\ \\beta\\ v_{i-1} + (1-\\beta)\\ v_{i} \\\\\n",
"&= \\beta^{3}\\ avg_{i-3} + (1-\\beta)\\ \\beta^{2}\\ v_{i-2} + (1-\\beta)\\ \\beta\\ v_{i-1} + (1-\\beta)\\ v_{i} \\\\\n",
"&\\vdots \\\\\n",
"&= (1-\\beta)\\ \\beta^{i}\\ v_{0} + (1-\\beta)\\ \\beta^{i-1}\\ v_{1} + \\cdots + (1-\\beta)\\ \\beta^{2}\\ v_{i-2} + (1-\\beta)\\ \\beta\\ v_{i-1} + (1-\\beta)\\ v_{i}\n",
"\\end{align*}$\n",
"\n",
"and so the sum of the coefficients is\n",
"\n",
"$\\begin{align*}\n",
"S &=(1-\\beta)\\ \\beta^{i} + (1-\\beta)\\ \\beta^{i-1} + \\cdots + (1-\\beta)\\ \\beta^{2} + (1-\\beta)\\ \\beta + (1-\\beta) \\\\\n",
"&= (\\beta^{i} - \\beta^{i+1}) + (\\beta^{i-1} - \\beta^{i}) + \\cdots + (\\beta^{2} - \\beta^{3}) + (\\beta - \\beta^{2}) + (1-\\beta) \\\\\n",
"&= 1 - \\beta^{i+1}\n",
"\\end{align*}$\n",
"\n",
"since all the other terms cancel out each other.\n",
"\n",
"By dividing by this term, we make our moving average a true average (in the sense that all the coefficients we used for the average sum up to 1)."
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def mom3(avg, beta, yi, i):\n",
" if avg is None: avg=0\n",
" avg = ewma(avg, yi, beta)\n",
" return avg, avg/(1-beta**(i+1))\n",
"plot_mom(mom3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Adam and friends"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In Adam, we use the gradient averages but with dampening (not like in SGD with momentum), so let's add this to the `AverageGrad` class."
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"class AverageGrad(Stat):\n",
" _defaults = dict(mom=0.9)\n",
" \n",
" def __init__(self, dampening:bool=False): self.dampening=dampening\n",
" def init_state(self, p): return {'grad_avg': torch.zeros_like(p.grad.data)}\n",
" def update(self, p, state, mom, **kwargs):\n",
" state['mom_damp'] = 1-mom if self.dampening else 1.\n",
" state['grad_avg'].mul_(mom).add_(state['mom_damp'], p.grad.data)\n",
" return state"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We also need to track the moving average of the gradients squared."
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"class AverageSqrGrad(Stat):\n",
" _defaults = dict(sqr_mom=0.99)\n",
" \n",
" def __init__(self, dampening:bool=True): self.dampening=dampening\n",
" def init_state(self, p): return {'sqr_avg': torch.zeros_like(p.grad.data)}\n",
" def update(self, p, state, sqr_mom, **kwargs):\n",
" state['sqr_damp'] = 1-sqr_mom if self.dampening else 1.\n",
" state['sqr_avg'].mul_(sqr_mom).addcmul_(state['sqr_damp'], p.grad.data, p.grad.data)\n",
" return state"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will also need the number of steps done during training for the debiasing."
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"class StepCount(Stat):\n",
" def init_state(self, p): return {'step': 0}\n",
" def update(self, p, state, **kwargs):\n",
" state['step'] += 1\n",
" return state"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This helper function computes the debias term. If we dampening, `damp = 1 - mom` and we get the same result as before. If we don't use dampening, (`damp = 1`) we will need to divide by `1 - mom` because that term is missing everywhere."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"def debias(mom, damp, step): return damp * (1 - mom**step) / (1-mom)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then the Adam step is just the following:"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"def adam_step(p, lr, mom, mom_damp, step, sqr_mom, sqr_damp, grad_avg, sqr_avg, eps, **kwargs):\n",
" debias1 = debias(mom, mom_damp, step)\n",
" debias2 = debias(sqr_mom, sqr_damp, step)\n",
" p.data.addcdiv_(-lr / debias1, grad_avg, (sqr_avg/debias2).sqrt() + eps)\n",
" return p\n",
"adam_step._defaults = dict(eps=1e-5)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [],
"source": [
"#Export\n",
"adam_opt = partial(StatefulOptimizer, steppers=adam_step, stats=[AverageGrad(dampening=True), AverageSqrGrad(), StepCount()])"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [],
"source": [
"learn,run = get_learn_run(nfs, data, 0.001, conv_layer, cbs=cbfs, opt_func=adam_opt)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"train: [1.7712776109527688, tensor(0.3881, device='cuda:0')]\n",
"valid: [1.452069580078125, tensor(0.5260, device='cuda:0')]\n",
"train: [1.2956183593144097, tensor(0.5758, device='cuda:0')]\n",
"valid: [1.1979395751953126, tensor(0.6040, device='cuda:0')]\n",
"train: [1.0108944203699395, tensor(0.6732, device='cuda:0')]\n",
"valid: [1.11100244140625, tensor(0.6560, device='cuda:0')]\n"
]
}
],
"source": [
"run.fit(3, learn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LAMB"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's then super easy to implement a new optimizer. This is LAMB from a [very recent paper](https://arxiv.org/pdf/1904.00962.pdf):\n",
"\n",
"$\\begin{align}\n",
"g_{t}^{l} &= \\nabla L(w_{t-1}^{l}, x_{t}) \\\\\n",
"m_{t}^{l} &= \\beta_{1} m_{t-1}^{l} + (1-\\beta_{1}) g_{t}^{l} \\\\\n",
"v_{t}^{l} &= \\beta_{2} v_{t-1}^{l} + (1-\\beta_{2}) g_{t}^{l} \\odot g_{t}^{l} \\\\\n",
"m_{t}^{l} &= m_{t}^{l} / (1 - \\beta_{1}^{t}) \\\\\n",
"v_{t}^{l} &= v_{t}^{l} / (1 - \\beta_{2}^{t}) \\\\\n",
"r_{1} &= \\|w_{t-1}^{l}\\|_{2} \\\\\n",
"s_{t}^{l} &= \\frac{m_{t}^{l}}{\\sqrt{v_{t}^{l} + \\epsilon}} + \\lambda w_{t-1}^{l} \\\\ \n",
"r_{2} &= \\| s_{t}^{l} \\|_{2} \\\\\n",
"\\eta^{l} &= \\eta * r_{1}/r_{2} \\\\ \n",
"w_{t}^{l} &= w_{t}^{l-1} - \\eta_{l} * s_{t}^{l} \\\\\n",
"\\end{align}$"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [],
"source": [
"def lamb_step(p, lr, mom, mom_damp, step, sqr_mom, sqr_damp, grad_avg, sqr_avg, eps, wd, **kwargs):\n",
" debias1 = debias(mom, mom_damp, step)\n",
" debias2 = debias(sqr_mom, sqr_damp, step)\n",
" r1 = p.data.pow(2).mean().sqrt()\n",
" step = (grad_avg/debias1) / ((sqr_avg/debias2).sqrt()+eps) + wd*p.data\n",
" r2 = step.pow(2).mean().sqrt()\n",
" p.data.add_(-lr * min(r1/r2,10), step)\n",
" return p\n",
"lamb_step._defaults = dict(eps=1e-6, wd=0.)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [],
"source": [
"lamb = partial(StatefulOptimizer, steppers=lamb_step, stats=[AverageGrad(dampening=True), AverageSqrGrad(), StepCount()])"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [],
"source": [
"learn,run = get_learn_run(nfs, data, 0.003, conv_layer, cbs=cbfs, opt_func=lamb)"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"train: [1.8418512547017993, tensor(0.3654, device='cuda:0')]\n",
"valid: [1.56215673828125, tensor(0.4360, device='cuda:0')]\n",
"train: [1.3504185570808127, tensor(0.5558, device='cuda:0')]\n",
"valid: [1.194865478515625, tensor(0.5940, device='cuda:0')]\n",
"train: [1.076809662561075, tensor(0.6512, device='cuda:0')]\n",
"valid: [1.113240234375, tensor(0.6440, device='cuda:0')]\n"
]
}
],
"source": [
"run.fit(3, learn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Other recent variants of optimizers:\n",
"- [Large Batch Training of Convolutional Networks](https://arxiv.org/abs/1708.03888) (LARS also uses weight statistics, not just gradient statistics. Can you add that to this class?)\n",
"- [Adafactor: Adaptive Learning Rates with Sublinear Memory Cost](https://arxiv.org/abs/1804.04235) (Adafactor combines stats over multiple sets of axes)\n",
"- [Adaptive Gradient Methods with Dynamic Bound of Learning Rate](https://arxiv.org/abs/1902.09843)"
]
}
],
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"display_name": "Python [default]",
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