{ "cells": [ { "cell_type": "code", "execution_count": 4, "id": "e5e40300", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[INFO] Using activation directory: activations\n", "[INFO] Loaded 5 prompts × 36 layers.\n", "[INFO] Example vector shape: (2048,)\n", " Layer Prompt_i Prompt_j Cosine_Overlap\n", "0 0 1 2 0.894531\n", "1 0 1 3 0.902392\n", "2 0 1 4 0.887207\n", "3 0 1 5 0.884334\n", "4 0 2 3 0.894095\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/rameyjm7/workspace/TML/lpu/llm-preference-unlearning/lpu-env/lib/python3.10/site-packages/scipy/spatial/distance.py:685: RuntimeWarning: invalid value encountered in divide\n", " dist = 1.0 - uv / math.sqrt(uu * vv)\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[INFO] Activation Overlap Analysis complete.\n" ] } ], "source": [ "# =====================================================================\n", "# ACTIVATION OVERLAP ANALYSIS — FULL ONE-CELL VERSION (ROBUST DIRECTORY DETECTION)\n", "# Compatible with activation_probe_detailed.py output\n", "# =====================================================================\n", "\n", "import os\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "from itertools import combinations\n", "from scipy.spatial.distance import cosine\n", "\n", "# ------------------------------------------------------------\n", "# 1. Auto-detect activations directory\n", "# ------------------------------------------------------------\n", "candidates = [\n", " \"activations_before\",\n", " \"activations_after\",\n", " \"activations\" # <-- created by activation_probe_detailed.py\n", "]\n", "\n", "base_dir = None\n", "for c in candidates:\n", " if os.path.exists(c) and os.path.isdir(c):\n", " base_dir = c\n", " break\n", "\n", "if base_dir is None:\n", " raise FileNotFoundError(\n", " \"No activation directories found. Expected one of:\\n\"\n", " \" activations_before/\\n\"\n", " \" activations_after/\\n\"\n", " \" activations/\\n\"\n", " \"Make sure activation_probe_detailed.py was run.\"\n", " )\n", "\n", "print(f\"[INFO] Using activation directory: {base_dir}\")\n", "\n", "# ------------------------------------------------------------\n", "# 2. Reconstruct prompts and layers\n", "# ------------------------------------------------------------\n", "prompts = sorted([\n", " int(d.replace(\"prompt\", \"\"))\n", " for d in os.listdir(base_dir)\n", " if d.startswith(\"prompt\") and os.path.isdir(os.path.join(base_dir, d))\n", "])\n", "\n", "if not prompts:\n", " raise RuntimeError(f\"No promptNN folders found inside {base_dir}/\")\n", "\n", "sample_prompt_dir = os.path.join(base_dir, f\"prompt{prompts[0]:02d}\")\n", "layers = sorted([\n", " int(f.split(\"_\")[0].replace(\"layer\", \"\"))\n", " for f in os.listdir(sample_prompt_dir)\n", " if f.endswith(\"_pooled.npy\")\n", "])\n", "\n", "if not layers:\n", " raise RuntimeError(f\"No *_pooled.npy files found in {sample_prompt_dir}\")\n", "\n", "# ------------------------------------------------------------\n", "# 3. Load all pooled activations\n", "# ------------------------------------------------------------\n", "activations = {}\n", "for p in prompts:\n", " p_dir = os.path.join(base_dir, f\"prompt{p:02d}\")\n", " activations[p] = {}\n", " for lid in layers:\n", " fpath = os.path.join(p_dir, f\"layer{lid:02d}_pooled.npy\")\n", " activations[p][lid] = np.load(fpath)\n", "\n", "print(f\"[INFO] Loaded {len(prompts)} prompts × {len(layers)} layers.\")\n", "print(\"[INFO] Example vector shape:\", activations[prompts[0]][layers[0]].shape)\n", "\n", "# =====================================================================\n", "# 4. OG CODE — Pairwise cosine overlap\n", "# =====================================================================\n", "pair_records = []\n", "for lid in layers:\n", " for (p1, p2) in combinations(prompts, 2):\n", " v1, v2 = activations[p1][lid], activations[p2][lid]\n", " v1 = v1 / np.linalg.norm(v1)\n", " v2 = v2 / np.linalg.norm(v2)\n", " sim = 1 - cosine(v1, v2)\n", " pair_records.append({\n", " \"Layer\": lid,\n", " \"Prompt_i\": p1,\n", " \"Prompt_j\": p2,\n", " \"Cosine_Overlap\": sim\n", " })\n", "\n", "df_overlap = pd.DataFrame(pair_records)\n", "df_overlap.to_csv(os.path.join(base_dir, \"activation_overlap_summary.csv\"), index=False)\n", "\n", "print(df_overlap.head())\n", "\n", "# =====================================================================\n", "# 5. Visualization A — Mean overlap per layer\n", "# =====================================================================\n", "layer_means = df_overlap.groupby(\"Layer\")[\"Cosine_Overlap\"].mean().reset_index()\n", "\n", "plt.figure(figsize=(8,4))\n", "plt.plot(layer_means[\"Layer\"], layer_means[\"Cosine_Overlap\"], marker=\"o\")\n", "plt.title(\"Average Activation Overlap per Layer\")\n", "plt.xlabel(\"Layer Index\")\n", "plt.ylabel(\"Mean Cosine Overlap\")\n", "plt.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# =====================================================================\n", "# 6. Visualization B — Mid-layer heatmap\n", "# =====================================================================\n", "mid_layer = layers[len(layers)//2]\n", "df_mid = df_overlap[df_overlap[\"Layer\"] == mid_layer]\n", "\n", "id_to_idx = {pid: i for i, pid in enumerate(prompts)}\n", "matrix = np.zeros((len(prompts), len(prompts)))\n", "\n", "for _, row in df_mid.iterrows():\n", " i = id_to_idx[row[\"Prompt_i\"]]\n", " j = id_to_idx[row[\"Prompt_j\"]]\n", " matrix[i, j] = matrix[j, i] = row[\"Cosine_Overlap\"]\n", "\n", "np.fill_diagonal(matrix, 1.0)\n", "\n", "plt.figure(figsize=(6,5))\n", "sns.heatmap(matrix, annot=True, fmt=\".3f\", cmap=\"viridis\",\n", " xticklabels=[f\"P{p}\" for p in prompts],\n", " yticklabels=[f\"P{p}\" for p in prompts])\n", "plt.title(f\"Activation Overlap (Layer {mid_layer})\")\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# =====================================================================\n", "# 7. Visualization C — Layer × Prompt-Pair matrix\n", "# =====================================================================\n", "pivot = df_overlap.pivot_table(\n", " index=\"Layer\",\n", " columns=[\"Prompt_i\",\"Prompt_j\"],\n", " values=\"Cosine_Overlap\"\n", ")\n", "\n", "plt.figure(figsize=(10,5))\n", "sns.heatmap(pivot, cmap=\"mako\", cbar_kws={\"label\": \"Cosine Overlap\"})\n", "plt.title(\"Layer × Prompt-Pair Overlap Heatmap\")\n", "plt.xlabel(\"Prompt Pair (i, j)\")\n", "plt.ylabel(\"Layer\")\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(\"[INFO] Activation Overlap Analysis complete.\")\n" ] } ], "metadata": { "kernelspec": { "display_name": "lpu-env", "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": "3.10.18" } }, "nbformat": 4, "nbformat_minor": 5 }