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README.md
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# K-FAC Memorization Suppression
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Reproduction of ["From Memorization to Reasoning in the Spectrum of Loss Curvature"](https://github.com/goodfire-ai/memorization_kfac) with extended experiments on modified importance formulas.
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## Overview
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This project implements K-FAC (Kronecker-Factored Approximate Curvature) based weight editing to suppress verbatim memorization in language models while preserving general capabilities.
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**Key insight:** The Fisher Information Matrix, approximated by K-FAC, reveals directions in weight space associated with memorization (low curvature) vs. generalization (high curvature). By removing low-curvature components, we can suppress memorization.
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## Project Goal
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1. **Reproduce** the paper's K-FAC method on OLMo-2 1B
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2. **Compare** the original importance formula with a modified version:
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- **Original:** $\Pi_{ij} = \lambda_i \cdot \mu_j$
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- **Modified:** $\Pi_{ij} = \lambda_i \cdot \mu_j \cdot |C_{ij}|^2$
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## Installation
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```bash
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pip install -r requirements.txt
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```
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## Project Structure
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```
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├── src/
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│ ├── kfac_collector.py # Collect K-FAC statistics (A, G matrices)
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│ ├── kfac_editor.py # Weight editing via eigendecomposition
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│ ├── evaluate.py # Memorization and perplexity metrics
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│ └── mine_memorized.py # Mine memorized sequences from training data
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├── notebooks/
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│ ├── 01_collect_kfac.ipynb # Colab: K-FAC collection (~2h on A100)
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│ ├── 02_mine_memorized.ipynb # Colab: Find memorized sequences (~1h)
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│ └── 03_experiments.ipynb # Colab: Run experiments (~2h)
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├── plans/
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│ └── implementation_plan.md # Detailed implementation plan
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├── context/
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│ ├── original_paper/ # Paper sections in markdown
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│ └── REPRODUCTION_PLAN.md # Initial reproduction plan
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└── requirements.txt
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```
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## Quick Start
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### Local Development
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```python
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from src.kfac_collector import KFACCollector, KFACConfig
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from src.kfac_editor import KFACEditor, EditConfig
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from src.evaluate import memorization_score, perplexity
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# Load model
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from transformers import AutoModelForCausalLM, AutoTokenizer
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model = AutoModelForCausalLM.from_pretrained("allenai/OLMo-2-1124-7B")
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tokenizer = AutoTokenizer.from_pretrained("allenai/OLMo-2-1124-7B")
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# Load pre-collected K-FAC stats
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collector = KFACCollector.load("kfac_statistics.pt", model)
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kfac_stats = collector.get_statistics()
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# Apply K-FAC editing
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config = EditConfig(energy_threshold=0.6, formula="original")
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editor = KFACEditor(model, kfac_stats, config)
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editor.edit_model()
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# Evaluate
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result = memorization_score(model, tokenizer, prefixes, suffixes)
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print(f"Strict accuracy: {result.strict_accuracy*100:.1f}%")
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```
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### Running on Colab
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1. **01_collect_kfac.ipynb** - Collect K-FAC statistics (~20M tokens, ~2h on A100)
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2. **02_mine_memorized.ipynb** - Find memorized sequences from training data
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3. **03_experiments.ipynb** - Run experiments and compare formulas
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## Method
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### K-FAC Statistics Collection
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For each target MLP layer, we collect:
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- **A**: Activation covariance matrix (input side)
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- **G**: Gradient covariance matrix (output side)
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These approximate the Fisher Information Matrix: $F_W \approx G \otimes A$
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### Weight Editing
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1. **Eigendecompose** A and G matrices
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2. **Transform** weights to curvature basis: $C = U_G^T W U_A$
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3. **Compute importance** using either formula
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4. **Select** top components by cumulative energy (e.g., 60%)
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5. **Reconstruct** edited weights: $W_{edited} = U_G (C \odot M) U_A^T$
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### Importance Formulas
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| Formula | Definition | Intuition |
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|---------|------------|-----------|
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| Original | $\Pi_{ij} = \lambda_i \cdot \mu_j$ | Pure curvature |
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| Modified | $\Pi_{ij} = \lambda_i \cdot \mu_j \cdot |C_{ij}|^2$ | Curvature weighted by actual weight magnitude |
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## Hyperparameters
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| Parameter | 7B Model | 1B Model (estimated) |
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|-----------|----------|---------------------|
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| Target layers | 23, 24, 25 | 11, 12, 13 |
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| Projections | gate_proj, up_proj | gate_proj, up_proj |
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| Energy threshold | 60% | 60% |
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| K-FAC tokens | ~20M | ~20M |
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## Expected Results
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Based on the paper (OLMo-2 1B):
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| Metric | Baseline | After K-FAC |
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|--------|----------|-------------|
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| Dolma strict accuracy | ~98% | ~3% |
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| Perplexity (Pile-10k) | ~23 | ~27 |
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## References
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- Paper: [From Memorization to Reasoning in the Spectrum of Loss Curvature](https://github.com/goodfire-ai/memorization_kfac)
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- Original code: https://github.com/goodfire-ai/memorization_kfac
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- Model: [OLMo-2](https://huggingface.co/allenai/OLMo-2-1124-7B)
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- K-FAC: [Martens & Grosse, 2015](https://arxiv.org/abs/1503.05671)
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## License
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MIT
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