diff --git a/factor_analysis.ipynb b/factor_analysis.ipynb new file mode 100644 index 0000000..d2778f0 --- /dev/null +++ b/factor_analysis.ipynb @@ -0,0 +1,258 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from scipy.stats import spearmanr\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from typing import Dict, List\n", + "import random\n", + "from collections import defaultdict\n", + "\n", + "import choix\n", + "\n", + "from scipy.stats import spearmanr\n", + "\n", + "from api.util import load_json\n", + "\n", + "import pandas as pd\n", + "from factor_analyzer import FactorAnalyzer\n", + "from sklearn.preprocessing import MinMaxScaler\n", + "\n", + "players = [\"random\", \"gpt3\", \"gpt3-cot\", \"gpt4\", \"gpt4-cot\", \"rap\"]\n", + "players.sort()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## correlation matrix\n" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "def rank_centrality(n_items, data, alpha=0.0):\n", + " # https://choix.lum.li/en/latest/_modules/choix/lsr.html#rank_centrality\n", + " _, chain = choix.lsr._init_lsr(n_items, alpha, None)\n", + " for p1, p2, p1score, p2score in data:\n", + " chain[p2, p1] += float(p1score)\n", + " idx = chain > 0\n", + " chain[idx] = chain[idx] / (chain + chain.T)[idx]\n", + " chain -= np.diag(chain.sum(axis=-1))\n", + " return choix.utils.log_transform(choix.utils.statdist(chain))\n", + "\n", + "\n", + "def get_skill_ratings(game: str) -> List[float]:\n", + " \"\"\"Given the name of a game, return an unlabeled list of skill ratings representing how skilled each model is at that game.\"\"\"\n", + "\n", + " filtered_matches = [\n", + " m\n", + " for m in load_json(\"matches.json\")\n", + " if \"gpt3-bap\" not in m and \"gpt4-bap\" not in m and m[\"game\"] == game\n", + " ]\n", + "\n", + " def get_params(matches):\n", + " wins = []\n", + " for match in matches:\n", + " agents = list(match.keys())[1:]\n", + " if match[agents[0]] == match[agents[1]]:\n", + " continue\n", + "\n", + " i = players.index(agents[0])\n", + " j = players.index(agents[1])\n", + "\n", + " wins.append((i, j, match[agents[0]], match[agents[1]]))\n", + "\n", + " params = rank_centrality(len(players), wins, alpha=0.001)\n", + " return params\n", + "\n", + " bootstrapped_params = np.array(\n", + " [\n", + " get_params(random.choices(filtered_matches, k=len(filtered_matches)))\n", + " for _ in range(100)\n", + " ]\n", + " ).transpose((1, 0))\n", + " ratings = bootstrapped_params.mean(1)\n", + " return list(ratings)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def show_correlation_matrix(ratings: Dict[str, List[float]]):\n", + " games = list(ratings.keys())\n", + "\n", + " # Calculate the correlation matrix\n", + " corr_matrix = np.zeros((len(games), len(games)))\n", + " for i, game1 in enumerate(games):\n", + " for j, game2 in enumerate(games):\n", + " corr, _ = spearmanr(ratings[game1], ratings[game2])\n", + " corr_matrix[i, j] = corr\n", + "\n", + " # Visualize the correlation matrix using matplotlib\n", + " fig, ax = plt.subplots(figsize=(10, 8))\n", + " im = ax.imshow(corr_matrix, cmap=\"plasma\")\n", + "\n", + " # Set ticks and labels\n", + " ax.set_xticks(np.arange(len(games)))\n", + " ax.set_yticks(np.arange(len(games)))\n", + " ax.set_xticklabels(games, rotation=45, ha=\"right\")\n", + " ax.set_yticklabels(games)\n", + "\n", + " # Loop over data dimensions and create text annotations\n", + " for i in range(len(games)):\n", + " for j in range(len(games)):\n", + " ax.text(\n", + " j, i, f\"{corr_matrix[i, j]:.2f}\", ha=\"center\", va=\"center\", color=\"w\"\n", + " )\n", + "\n", + " ax.set_title(\"correlation matrix of skill ratings across games\")\n", + "\n", + " fig.tight_layout()\n", + " plt.colorbar(im, ax=ax)\n", + " plt.show()\n", + "\n", + "\n", + "game_names = [\n", + " \"sea_battle\",\n", + " \"two_rooms_and_a_boom\",\n", + " \"are_you_the_traitor\",\n", + " \"air_land_sea\",\n", + " \"santorini\",\n", + " # \"hive\",\n", + " \"pit\",\n", + " \"arctic_scavengers\",\n", + " \"codenames\",\n", + " # \"atari_boxing\",\n", + "]\n", + "\n", + "skill_ratings: Dict[str, List[float]] = {\n", + " game: get_skill_ratings(game) for game in game_names\n", + "}\n", + "\n", + "show_correlation_matrix(skill_ratings)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## factor analysis\n" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.61049119],\n", + " [-1.00115111],\n", + " [-0.97810091],\n", + " [-0.97781077],\n", + " [-0.98259078],\n", + " [-0.9781731 ],\n", + " [-0.95542561],\n", + " [-0.98781255]])" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fa = FactorAnalyzer(n_factors=1, rotation=None)\n", + "\n", + "df_skill_ratings = pd.DataFrame(skill_ratings, index=players)\n", + "fa.fit(df_skill_ratings)\n", + "\n", + "fa.loadings_" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Calculate the general ratings\n", + "general_ratings = df_skill_ratings.dot(fa.loadings_).squeeze()\n", + "\n", + "# Plot the results\n", + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(players, general_ratings, color=\"blue\")\n", + "\n", + "plt.xticks(\n", + " range(len(players)), players, rotation=45\n", + ") # Ensure player names are on x-axis\n", + "plt.grid(True, axis=\"y\")\n", + "plt.axhline(0, color=\"black\", linewidth=1.5) # Emphasize the x-axis line at y = 0\n", + "\n", + "plt.xlabel(\"models\")\n", + "plt.ylabel(\"rating\")\n", + "plt.title(\"general strategic reasoning skill ratings of models\")\n", + "\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}