{ "cells": [ { "cell_type": "markdown", "id": "cell00", "metadata": {}, "source": [ "# 07 — L'ADE : un filtre qui dissipe l'entropie au lieu de l'accumuler\n", "\n", "Un algorithme de recommandation classique maximise l'engagement immédiat. Le\n", "notebook 06 montre que cette fonction de coût *est* celle qui produit un\n", "amortissement négatif : elle récompense la charge émotionnelle, donc la\n", "désinformation.\n", "\n", "L'**Algorithme de Diversité Exposée** remplace la fonction de coût :\n", "\n", "$$S(i, c) = \\mathrm{Pertinence}(i, c) + \\mu \\cdot \\Delta H(i, c)$$\n", "\n", "où $\\Delta H$ mesure ce que l'affichage du contenu ferait à l'IDE du fil, et\n", "$\\mu \\ge 0$ est le coefficient de régulation.\n", "\n", "Deux précisions valent d'être faites d'emblée. Le **signe est positif** : le fil de\n", "travail hésitait, mais seul $+\\mu \\Delta H$ fait remonter un contenu qui diversifie.\n", "Et le terme de pertinence est **conservé** : un algorithme qui servirait de la\n", "diversité sans pertinence serait abandonné par ses utilisateurs, ce qui ne\n", "dissiperait aucune entropie. L'ADE n'est pas un filtre de censure, c'est un\n", "rééquilibrage." ] }, { "cell_type": "code", "execution_count": 1, "id": "cell01", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:37:15.825839Z", "iopub.status.busy": "2026-08-23T13:37:15.825649Z", "iopub.status.idle": "2026-08-23T13:37:16.368149Z", "shell.execute_reply": "2026-08-23T13:37:16.367762Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "verification pertinence=0.50 ΔH=+0.138 μ=4.00 score=1.052\n", "tribune pertinence=0.45 ΔH=+0.138 μ=4.00 score=1.002\n", "satire pertinence=0.40 ΔH=+0.138 μ=4.00 score=0.952\n", "contenu-de-bulle pertinence=0.95 ΔH=+0.000 μ=4.00 score=0.950\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from ide.ade import Candidate, EntropicScorer, annealing_coefficient\n", "from ide.plotting import PALETTE, save_figure, use_project_style\n", "\n", "use_project_style()\n", "\n", "CATALOGUE = [\n", " Candidate(\"contenu-de-bulle\", \"complot\", relevance=0.95),\n", " Candidate(\"verification\", \"factuel\", relevance=0.50),\n", " Candidate(\"tribune\", \"opinion\", relevance=0.45),\n", " Candidate(\"satire\", \"satire\", relevance=0.40),\n", "]\n", "frozen_feed = [\"complot\"] * 20\n", "\n", "scorer = EntropicScorer(catalogue_size=4)\n", "for scored in scorer.rank(frozen_feed, CATALOGUE):\n", " print(f\"{scored.identifier:18s} pertinence={scored.candidate.relevance:.2f} \"\n", " f\"ΔH={scored.delta_entropy:+.3f} μ={scored.mu:.2f} score={scored.score:.3f}\")" ] }, { "cell_type": "markdown", "id": "cell02", "metadata": {}, "source": [ "## Le recuit : $\\mu$ n'est pas constant\n", "\n", "Tant que le fil reste diversifié, l'algorithme n'a aucune raison d'intervenir et\n", "$\\mu$ demeure à sa valeur de repos. Dès que l'IDE passe sous le seuil critique —\n", "signal d'une bulle qui se referme — $\\mu$ monte et l'algorithme entre en **mode\n", "recuit** : il sur-classe délibérément les contenus divergents, le temps de réchauffer\n", "le fil.\n", "\n", "La montée est **progressive** et non en tout ou rien. Avec un seuil dur, chaque\n", "intervention relèverait l'index juste au-dessus du seuil, désactivant l'intervention\n", "suivante, qui le laisserait retomber : un battement permanent sans stabilisation." ] }, { "cell_type": "code", "execution_count": 2, "id": "cell03", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:37:16.369017Z", "iopub.status.busy": "2026-08-23T13:37:16.368905Z", "iopub.status.idle": "2026-08-23T13:37:16.383035Z", "shell.execute_reply": "2026-08-23T13:37:16.382631Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "filtre d'engagement pur : IDE final = 0.000\n", "ADE avec recuit : IDE final = 0.061\n" ] } ], "source": [ "indices = np.linspace(0.0, 1.0, 201)\n", "coefficients = np.array([annealing_coefficient(float(i), critical_index=0.4) for i in indices])\n", "\n", "def serve_loop(mu_resting: float, mu_annealing: float, cycles: int = 40) -> np.ndarray:\n", " \"\"\"Sert `cycles` contenus et renvoie la trajectoire de l'IDE du fil.\"\"\"\n", " engine = EntropicScorer(catalogue_size=4, resting_mu=mu_resting, annealing_mu=mu_annealing)\n", " feed = list(frozen_feed)\n", " history = [engine.current_index(feed)]\n", " for _ in range(cycles):\n", " feed = engine.serve(feed, CATALOGUE)\n", " history.append(engine.current_index(feed))\n", " return np.array(history)\n", "\n", "engagement_only = serve_loop(0.0, 0.0)\n", "with_annealing = serve_loop(0.5, 4.0)\n", "\n", "print(f\"filtre d'engagement pur : IDE final = {engagement_only[-1]:.3f}\")\n", "print(f\"ADE avec recuit : IDE final = {with_annealing[-1]:.3f}\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "cell04", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:37:16.383731Z", "iopub.status.busy": "2026-08-23T13:37:16.383661Z", "iopub.status.idle": "2026-08-23T13:37:16.667365Z", "shell.execute_reply": "2026-08-23T13:37:16.666884Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure, axes = plt.subplots(1, 3, figsize=(13, 3.8))\n", "scores, annealing, trajectory = axes\n", "\n", "ranked = scorer.rank(frozen_feed, CATALOGUE)\n", "positions = np.arange(len(ranked))\n", "labels = [scored.identifier for scored in ranked]\n", "relevances = [scored.candidate.relevance for scored in ranked]\n", "bonuses = [scored.mu * scored.delta_entropy for scored in ranked]\n", "\n", "scores.barh(positions, relevances, color=PALETTE[\"field\"], label=\"pertinence\")\n", "scores.barh(positions, bonuses, left=relevances, color=PALETTE[\"remedy\"],\n", " label=r\"bonus entropique $\\mu \\Delta H$\")\n", "scores.set_yticks(positions)\n", "scores.set_yticklabels(labels, fontsize=8.5)\n", "scores.invert_yaxis()\n", "scores.set_xlabel(\"score de classement\")\n", "scores.set_title(\"Classement sur un fil gelé\")\n", "scores.legend(fontsize=8)\n", "\n", "annealing.plot(indices, coefficients, color=PALETTE[\"remedy\"])\n", "annealing.axvline(0.4, color=PALETTE[\"neutral\"], linestyle=\"--\", linewidth=1.2)\n", "annealing.text(0.42, 3.4, \"seuil critique\", color=PALETTE[\"neutral\"], fontsize=9)\n", "annealing.set_xlabel(\"IDE mesuré du fil\")\n", "annealing.set_ylabel(r\"coefficient de régulation $\\mu$\")\n", "annealing.set_title(\"Recuit progressif, non binaire\")\n", "\n", "trajectory.plot(engagement_only, color=PALETTE[\"field\"], label=\"engagement pur ($\\\\mu = 0$)\")\n", "trajectory.plot(with_annealing, color=PALETTE[\"remedy\"], label=\"ADE avec recuit\")\n", "trajectory.axhline(0.4, color=PALETTE[\"neutral\"], linestyle=\"--\", linewidth=1.2)\n", "trajectory.set_xlabel(\"cycles de service\")\n", "trajectory.set_ylabel(\"IDE du fil\")\n", "trajectory.set_ylim(-0.05, 1.05)\n", "trajectory.set_title(\"Désaimantation organique de la bulle\")\n", "trajectory.legend(fontsize=8)\n", "\n", "save_figure(figure, \"fig07_ade.png\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cell05", "metadata": {}, "source": [ "## Ce que le notebook établit\n", "\n", "1. Sur un fil gelé, la vérification factuelle dépasse au classement un contenu\n", " pourtant bien plus pertinent — non par pénalisation du second, mais par bonus\n", " entropique du premier.\n", "2. À $\\mu = 0$, l'ADE est **indiscernable** d'un filtre d'engagement : la\n", " transformation est un ajout paramétré, pas une refonte. C'est ce qui la rend\n", " déployable et auditable — un régulateur peut exiger une valeur minimale de $\\mu$\n", " sans redéfinir le produit.\n", "3. Le mode recuit fait effectivement remonter l'IDE d'un fil initialement gelé,\n", " alors que le filtre d'engagement pur l'y maintient indéfiniment.\n", "4. Une fois l'index rétabli, $\\mu$ redescend à sa valeur de repos et la pertinence\n", " reprend la main. L'algorithme n'impose pas la diversité en permanence : il empêche\n", " le gel." ] } ], "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": "3.12.14" } }, "nbformat": 4, "nbformat_minor": 5 }