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Last active June 30, 2025 20:53
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reddwarf-test-algorithms.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyPNZe3/sdc/KlI6zty3I37g",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/patcon/93ee8377a7f359353ba946c0ce9da338/reddwarf-test-algorithms.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "nw0R_PSZ3BFN",
"outputId": "a62bab54-aba4-417a-b22a-e65752b5dc56"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
" Installing build dependencies ... \u001b[?25l\u001b[?25hdone\n",
" Getting requirements to build wheel ... \u001b[?25l\u001b[?25hdone\n",
" Preparing metadata (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m647.5/647.5 kB\u001b[0m \u001b[31m12.6 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[?25h Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m116.1/116.1 kB\u001b[0m \u001b[31m8.4 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m161.7/161.7 kB\u001b[0m \u001b[31m10.8 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m61.4/61.4 kB\u001b[0m \u001b[31m3.7 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m69.4/69.4 kB\u001b[0m \u001b[31m4.4 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[?25h Building wheel for red-dwarf (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n",
" Building wheel for annoy (setup.py) ... \u001b[?25l\u001b[?25hdone\n"
]
}
],
"source": [
"%pip install --quiet git+https://github.com/polis-community/red-dwarf.git@main"
]
},
{
"cell_type": "code",
"source": [
"from reddwarf.data_loader import Loader\n",
"\n",
"REPORT_ID = \"r8hk9vpmjkkhdchepj2dj\"\n",
"\n",
"loader = Loader(polis_id=REPORT_ID, data_source=\"csv_export\")\n",
"print(f\"Loaded data from https://pol.is/report/{REPORT_ID}\")\n",
"\n",
"loader.votes_data[:3]"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "sQYQeDQK3PgO",
"outputId": "3d15ef34-e77e-4b6a-c9c9-bbf65d2cb59b"
},
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.11/dist-packages/reddwarf/data_loader.py:130: UserWarning: CSV import is missing is_meta field. Attempting to load comments data from API instead...\n",
" warnings.warn(\"CSV import is missing is_meta field. Attempting to load comments data from API instead...\")\n"
]
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Loaded data from https://pol.is/report/r8hk9vpmjkkhdchepj2dj\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[{'participant_id': 65,\n",
" 'statement_id': 24,\n",
" 'vote': 1,\n",
" 'weight_x_32767': None,\n",
" 'modified': 1750326980000.0,\n",
" 'conversation_id': None,\n",
" 'datetime': 'Thu Jun 19 2025 09:56:20 GMT+0000 (Coordinated Universal Time)'},\n",
" {'participant_id': 65,\n",
" 'statement_id': 27,\n",
" 'vote': -1,\n",
" 'weight_x_32767': None,\n",
" 'modified': 1750326947000.0,\n",
" 'conversation_id': None,\n",
" 'datetime': 'Thu Jun 19 2025 09:55:47 GMT+0000 (Coordinated Universal Time)'},\n",
" {'participant_id': 6,\n",
" 'statement_id': 42,\n",
" 'vote': 1,\n",
" 'weight_x_32767': None,\n",
" 'modified': 1750248687000.0,\n",
" 'conversation_id': None,\n",
" 'datetime': 'Wed Jun 18 2025 12:11:27 GMT+0000 (Coordinated Universal Time)'}]"
]
},
"metadata": {},
"execution_count": 2
}
]
},
{
"cell_type": "code",
"source": [
"from reddwarf.utils.statements import process_statements\n",
"\n",
"_, _, mod_out_statement_ids, meta_statement_ids = process_statements(\n",
" statement_data=loader.comments_data,\n",
")"
],
"metadata": {
"id": "4pMuAmcQ4Z0l"
},
"execution_count": 3,
"outputs": []
},
{
"cell_type": "code",
"source": [
"from reddwarf.implementations.base import run_pipeline\n",
"\n",
"def run_and_plot(reducer, clusterer, reducer_kwargs = {}, clusterer_kwargs = {}, presenter_kwargs = {}):\n",
" result = run_pipeline(\n",
" reducer=reducer,\n",
" reducer_kwargs=reducer_kwargs,\n",
" clusterer=clusterer,\n",
" clusterer_kwargs=clusterer_kwargs,\n",
" votes=loader.votes_data,\n",
" mod_out_statement_ids=mod_out_statement_ids,\n",
" meta_statement_ids=meta_statement_ids,\n",
" )\n",
"\n",
" # Generate plot\n",
" from reddwarf.data_presenter import generate_figure_polis\n",
" generate_figure_polis(result=result, **presenter_kwargs)"
],
"metadata": {
"id": "Tja51Q_W33RP"
},
"execution_count": 18,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# Classic polis\n",
"print(\"Compare with https://pol.is/6actc48hc7\")\n",
"run_and_plot(\"pca\", \"kmeans\", presenter_kwargs={\"flip_x\": False, \"flip_y\": True})"
],
"metadata": {
"id": "TqVrYEsTMqE9",
"outputId": "94a869e9-a962-49da-e256-c91d0c9ce8f6",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 433
}
},
"execution_count": 19,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Compare with https://pol.is/6actc48hc7\n",
"Calculating convex hulls around clusters...\n",
"Hull 0, bounding 18 points\n",
"Hull 1, bounding 31 points\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 560x400 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Classic polis with hdbscan density-based clustering\n",
"run_and_plot(\"pca\", \"hdbscan\", presenter_kwargs={\"flip_x\": False, \"flip_y\": True})"
],
"metadata": {
"id": "4KzEA6SfNND4",
"outputId": "c398c9ca-69ba-4170-f8b7-7015fb272674",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 416
}
},
"execution_count": 20,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Calculating convex hulls around clusters...\n",
"Hull 0, bounding 28 points\n",
"Hull 1, bounding 11 points\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 560x400 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Polis pipeline with default pacmap for dimensional reduction (default: n_neighbors = 10), and density-based clustering\n",
"run_and_plot(\"pacmap\", \"hdbscan\", presenter_kwargs={\"flip_x\": False, \"flip_y\": True})"
],
"metadata": {
"id": "I6KuEaPbNUVU",
"outputId": "b1e35566-5da1-4ad6-d985-83f2b14bcb6b",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 416
}
},
"execution_count": 21,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Calculating convex hulls around clusters...\n",
"Hull 0, bounding 20 points\n",
"Hull 1, bounding 20 points\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 560x400 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Polis pipeline with pacmap for dimensional reduction, and custom n_neighbors passed in\n",
"run_and_plot(\"pacmap\", \"hdbscan\", reducer_kwargs={ \"n_neighbors\": 5 }, presenter_kwargs={\"flip_x\": False, \"flip_y\": True})"
],
"metadata": {
"id": "KSPNSqt9Nfn2",
"outputId": "7236c800-7973-4f38-ba6f-459e8dfc23ff",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 451
}
},
"execution_count": 25,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Calculating convex hulls around clusters...\n",
"Hull 0, bounding 15 points\n",
"Hull 1, bounding 10 points\n",
"Hull 2, bounding 9 points\n",
"Hull 3, bounding 5 points\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 560x400 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Polis pipeline with localmap for dimensional reduction (default: n_neighbors = 10)\n",
"run_and_plot(\"localmap\", \"hdbscan\", presenter_kwargs={\"flip_x\": False, \"flip_y\": True})"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 416
},
"id": "9cCI1uphktHd",
"outputId": "71b14bf9-1a87-4e1a-fcaf-9e72d8c06942"
},
"execution_count": 26,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Calculating convex hulls around clusters...\n",
"Hull 0, bounding 27 points\n",
"Hull 1, bounding 20 points\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 560x400 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Polis pipeline with localmap for dimensional reduction, and custom n_neighbors passed in\n",
"run_and_plot(\"localmap\", \"hdbscan\", reducer_kwargs={ \"n_neighbors\": 5 }, presenter_kwargs={\"flip_x\": False, \"flip_y\": True})"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 451
},
"id": "-ILDgUitkzc8",
"outputId": "aec2649f-0648-4654-cca8-e1eb078d1395"
},
"execution_count": 29,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Calculating convex hulls around clusters...\n",
"Hull 0, bounding 15 points\n",
"Hull 1, bounding 13 points\n",
"Hull 2, bounding 13 points\n",
"Hull 3, bounding 6 points\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 560x400 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
}
]
}
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