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Minimal character-level language model with a Vanilla Recurrent Neural Network, in Python/numpy
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""" | |
Minimal character-level Vanilla RNN model. Written by Andrej Karpathy (@karpathy). Edited by Geoffrey Churchill | |
BSD License | |
""" | |
import numpy as np | |
from sys import argv | |
try: | |
num_steps=int(argv[3]) | |
except IndexError: | |
num_steps=100 | |
# data I/O | |
try: | |
chunk_size=int(argv[2]) # number of bytes per chunk | |
except IndexError: | |
chunk_size=1 | |
print('reading',argv[1]) | |
with open(argv[1],'rb') as f: | |
data=f.read() | |
print('chunking data') | |
data=[data[i:i+chunk_size] for i in range(0, len(data), chunk_size)] | |
print('making set of chunks') | |
chunks=set(data) | |
data_size, vocab_size = len(data), len(chunks) | |
print('data has {0} characters, {1} unique.'.format(data_size, vocab_size)) | |
print('compiling lookup tables') | |
char_to_ix = { ch:i for i,ch in enumerate(chunks) } | |
ix_to_char = { i:ch for i,ch in enumerate(chunks) } | |
# hyperparameters | |
hidden_size =128 # size of hidden layer of neurons | |
seq_length = 128 # number of steps to unroll the RNN for | |
learning_rate = lambda i:0.1#10/(i+1) | |
# model parameters | |
Wxh = np.random.randn(hidden_size, vocab_size)*0.01 # input to hidden | |
Whh = np.random.randn(hidden_size, hidden_size)*0.01 # hidden to hidden | |
Why = np.random.randn(vocab_size, hidden_size)*0.01 # hidden to output | |
bh = np.zeros((hidden_size, 1)) # hidden bias | |
by = np.zeros((vocab_size, 1)) # output bias | |
def lossFun(inputs, targets, hprev): | |
""" | |
inputs,targets are both list of integers. | |
hprev is Hx1 array of initial hidden state | |
returns the loss, gradients on model parameters, and last hidden state | |
""" | |
xs, hs, ys, ps = {}, {}, {}, {} | |
hs[-1] = np.copy(hprev) | |
loss = 0 | |
# forward pass | |
for t in range(len(inputs)): | |
xs[t] = np.zeros((vocab_size,1)) # encode in 1-of-k representation | |
xs[t][inputs[t]] = 1 | |
hs[t] = np.tanh(np.dot(Wxh, xs[t]) + np.dot(Whh, hs[t-1]) + bh) # hidden state | |
ys[t] = np.dot(Why, hs[t]) + by # unnormalized log probabilities for next chars | |
ps[t] = np.exp(ys[t]) / np.sum(np.exp(ys[t])) # probabilities for next chars | |
loss += -np.log(ps[t][targets[t],0]) # softmax (cross-entropy loss) | |
# backward pass: compute gradients going backwards | |
dWxh, dWhh, dWhy = np.zeros_like(Wxh), np.zeros_like(Whh), np.zeros_like(Why) | |
dbh, dby = np.zeros_like(bh), np.zeros_like(by) | |
dhnext = np.zeros_like(hs[0]) | |
for t in reversed(range(len(inputs))): | |
dy = np.copy(ps[t]) | |
dy[targets[t]] -= 1 # backprop into y | |
dWhy += np.dot(dy, hs[t].T) | |
dby += dy | |
dh = np.dot(Why.T, dy) + dhnext # backprop into h | |
dhraw = (1 - hs[t] * hs[t]) * dh # backprop through tanh nonlinearity | |
dbh += dhraw | |
dWxh += np.dot(dhraw, xs[t].T) | |
dWhh += np.dot(dhraw, hs[t-1].T) | |
dhnext = np.dot(Whh.T, dhraw) | |
for dparam in [dWxh, dWhh, dWhy, dbh, dby]: | |
np.clip(dparam, -5, 5, out=dparam) # clip to mitigate exploding gradients | |
return loss, dWxh, dWhh, dWhy, dbh, dby, hs[len(inputs)-1] | |
def sample(h, seed_ix, n): | |
""" | |
sample a sequence of integers from the model | |
h is memory state, seed_ix is seed letter for first time step | |
""" | |
x = np.zeros((vocab_size, 1)) | |
x[seed_ix] = 1 | |
for t in range(n): | |
if not t&255: | |
print('{0}%'.format(100*t/n)) | |
h = np.tanh(np.dot(Wxh, x) + np.dot(Whh, h) + bh) | |
y = np.dot(Why, h) + by | |
p = np.exp(y) / np.sum(np.exp(y)) | |
ix = np.random.choice(range(vocab_size), p=p.ravel()) | |
x = np.zeros((vocab_size, 1)) | |
x[ix] = 1 | |
yield ix | |
p=0 | |
mWxh, mWhh, mWhy = np.zeros_like(Wxh), np.zeros_like(Whh), np.zeros_like(Why) | |
mbh, mby = np.zeros_like(bh), np.zeros_like(by) # memory variables for Adagrad | |
smooth_loss = -np.log(1.0/vocab_size)*seq_length # loss at iteration 0 | |
for n in range(num_steps): | |
# prepare inputs (we're sweeping from left to right in steps seq_length long) | |
if p+seq_length+1 >= len(data) or n == 0: | |
hprev = np.zeros((hidden_size,1)) # reset RNN memory | |
p = 0 # go from start of data | |
inputs = [char_to_ix[ch] for ch in data[p:p+seq_length]] | |
targets = [char_to_ix[ch] for ch in data[p+1:p+seq_length+1]] | |
""" | |
# sample from the model now and then | |
if n % 100 == 0: | |
sample_ix = sample(hprev, inputs[0], 200) | |
txt = ''.join(str(ix_to_char[ix]) for ix in sample_ix) | |
print('----\n {0} \n----'.format(txt)) | |
""" | |
# forward seq_length characters through the net and fetch gradient | |
loss, dWxh, dWhh, dWhy, dbh, dby, hprev = lossFun(inputs, targets, hprev) | |
smooth_loss = smooth_loss * 0.999 + loss * 0.001 | |
print('iter {0}, loss: {1}'.format(n, smooth_loss)) # print progress | |
# perform parameter update with Adagrad | |
for param, dparam, mem in zip([Wxh, Whh, Why, bh, by], | |
[dWxh, dWhh, dWhy, dbh, dby], | |
[mWxh, mWhh, mWhy, mbh, mby]): | |
mem += dparam * dparam | |
param += -learning_rate(n) * dparam / np.sqrt(mem + 1e-8) # adagrad update | |
p += seq_length # move data pointer | |
n += 1 # iteration counter | |
num_out_chunks=int(argv[4]) | |
print('writing {0} chunks of {1} bytes (total={2} bytes) to {3}'.format(num_out_chunks,chunk_size,num_out_chunks*chunk_size,argv[5])) | |
with open(argv[5],'wb') as of: | |
of.write(b''.join(ix_to_char[ix] for ix in sample(hprev, inputs[0],num_out_chunks))) |
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