From 49b329420d34a8a24c825954b653448ffde4e413 Mon Sep 17 00:00:00 2001 From: rwh Date: Wed, 25 Sep 2024 17:57:46 -0700 Subject: [PATCH] script to determine sampling proportions with classification for toy problem --- ...ling_proportions_with_classification.ipynb | 261 ++++++++++++++++++ 1 file changed, 261 insertions(+) create mode 100644 scripts/determine_sampling_proportions_with_classification.ipynb diff --git a/scripts/determine_sampling_proportions_with_classification.ipynb b/scripts/determine_sampling_proportions_with_classification.ipynb new file mode 100644 index 0000000..eca3702 --- /dev/null +++ b/scripts/determine_sampling_proportions_with_classification.ipynb @@ -0,0 +1,261 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dataset classification to determine sampling proportions\n", + "\n", + "LLMs are often trained on data from different sources, where the sources are weighted in a certain way. Using dataset classification, it can be possible to infer the weights of the data sources. Specifically, let $\\mathbf x = [x_1,...,x_n]$ be the vector containing the sampling weights (with $\\sum_i x_i = 1, x_i\\geq 1$). \n", + "\n", + "We first take the LLM and generated a testdataset from it. \n", + "\n", + "We then define a comparision function compare($\\mathbf x, \\mathbf x'$) which trains a classifier to distingush data with weights $\\mathbf x$ from data with weights $\\mathbf x'$. The classifier is then applied to the test data and returns one if the data is more likely to be from the data with weights $\\mathbf x$ than from the data with weights $\\mathbf x'$. The classifier returns one if that's the case and zero otherwise.\n", + "\n", + "We then perform zero-order optimization with gradientless descent as implemented below. For the toy example below this works well, let's see how well it works in reality. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# import numpy\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0.03540964 0.38505443 2.64527472 0.70491786 -0.77422529]\n", + "[0. 0. 1. 0. 0.] 1.0\n" + ] + } + ], + "source": [ + "# function to project on the probability simplex, \n", + "# i.e., the vector x is projected to the closest vector in l2-norm on the simplex\n", + "def proj_simplex(y):\n", + " m = len(y)\n", + " bget = False\n", + " s = sorted(y, reverse=True) # sorting in descending order\n", + " tmpsum = 0\n", + " for i in range(m-1):\n", + " tmpsum = tmpsum + s[i]\n", + " tmax = (tmpsum - 1) / (i+1)\n", + " if tmax >= s[i+1]:\n", + " bget = True\n", + " break\n", + " if not bget:\n", + " tmax = (tmpsum + s[m-1] -1) / m\n", + " return np.maximum(y-tmax,0)\n", + "\n", + "# test the function\n", + "N = 5\n", + "x = np.random.randn(N)\n", + "print(x)\n", + "x = proj_simplex(x)\n", + "print(x, sum(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# generate a toy problem instance\n", + "N = 7\n", + "# random weights\n", + "#xorig = proj_simplex( np.random.rand(N))\n", + "# llama weights\n", + "xorig = np.array([0.67,0.15,0.045,0.045,0.045,0.025,0.02])\n", + "\n", + "# this is for our toy problem, need to implement the actual comparision function as descrived above\n", + "def comparison(xa,xb,xorig):\n", + " # return 1 if xa is closer to xorig, -1 if xb is closer\n", + " diff1 = np.linalg.norm(xa-xorig)\n", + " diff2 = np.linalg.norm(xb-xorig)\n", + " if diff1 < diff2:\n", + " return 1\n", + " else:\n", + " return -1\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loss at the end of the run: 0.008054702216501005\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# gradientless descent for finding xorig based only on comparisions\n", + "def gradientless_descent(xorig, N,num_iter=200,radius = 0.2,alpha=0.5):\n", + " # initialize x with equal probability\n", + " x = np.ones(N)/N\n", + " #x = np.random.rand(N)\n", + " #x = proj_simplex(x)\n", + " \n", + " func_vals = []\n", + " \n", + " for i in range(num_iter):\n", + " stepsize = 1/(i+1)**alpha\n", + " # choose random direction with radius R\n", + " dir = np.random.randn(N)\n", + " dir = dir/np.linalg.norm(dir)*radius*stepsize\n", + " xcandidate = proj_simplex( x + dir )\n", + " # compare x with x+dir and update x\n", + " if comparison(xcandidate,x,xorig) == 1:\n", + " x = xcandidate\n", + "\n", + " func_vals.append(np.linalg.norm(x-xorig))\n", + " return x, func_vals\n", + "\n", + "\n", + "# example run with default parameters\n", + "x, func_vals = gradientless_descent(xorig,N)\n", + "print(\"loss at the end of the run: \", np.linalg.norm(x-xorig))\n", + "plt.plot(func_vals)\n", + "plt.xlabel('iterations')\n", + "plt.ylabel('loss')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loss at the end of the run: 0.0478716011463714\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loss at the end of the run: 0.03228934616508944\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loss at the end of the run: 0.021510510487106622\n" + ] + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loss at the end of the run: 0.013034986442093615\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# what's a good value for alpha? Looks like for enough iterations, alpha = 0.5 is best\n", + "\n", + "num_iter = 200\n", + "\n", + "for alpha in [0.1,0.2,0.3,0.5]:\n", + " val_end = []\n", + " for i in range(10):\n", + " x, func_vals = gradientless_descent(xorig, N, num_iter=num_iter,radius = 0.2,alpha=alpha)\n", + " plt.plot(func_vals)\n", + " val_end.append(func_vals[-1])\n", + " print(\"loss at the end of the run: \", np.mean(val_end))\n", + " plt.title('alpha = '+str(alpha))\n", + " plt.show()\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}