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Sanity Checks for Sparse Autoencoders: Do SAEs Beat Random Baselines?
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Shows SAEs recover only ~9% of ground-truth features in a toy model, and that frozen-random SAE variants match fully-trained SAEs on interpretability, sparse probing, and causal editing for Gemma-2-2B and Llama-3-8B.
Problem
Whether sparse autoencoders actually recover meaningful, ground-truth features of neural network activations, given that standard proxy metrics (reconstruction, interpretability, sparse probing, causal editing) may not reflect true feature learning.
Approach
Two complementary sanity checks: a toy model with known ground-truth features at expansion factor 32, and three randomization baselines (Frozen Decoder, Soft-Frozen Decoder with cosine constraint tau=0.8, Frozen Encoder) that are evaluated against fully trained SAEs on real LLM activations.
Key results
- On the toy model with variable probabilities, BatchTopK SAE recovers only about 9% (297/3200) of ground-truth features at explained variance 0.71.
- At L0=160 on Gemma-2-2B layer 12, Soft-Frozen Decoder BatchTopK achieves AutoInterp 0.88 vs 0.90 for fully-trained SAE.
- Best frozen baseline causal editing (RAVEL) reaches about 0.73 vs 0.72 for fully-trained BatchTopK on Gemma-2-2B layer 12.
Surprising findings
- Soft-Frozen Decoder SAEs with random, nearly fixed decoder directions match fully-trained SAEs on interpretability, sparse probing, and causal editing.
- A TopK SAE recovers nearly all ground-truth features in the constant-probability toy setting, though this does not carry over to real activations.
Limitations
- Toy model assumes independent feature activations, omitting correlations present in real networks.
- Only standard SAE architectures (not transcoders or crosscoders) are evaluated with frozen baselines.
- Soft-Frozen Decoder tau=0.8 threshold was chosen heuristically; frozen baselines' gaps are larger for top-5 sparse probing.
Experimental setup
Datasets: OpenWebText synthetic toy model data (3200 ground-truth features, n=100) SAEBench sparse probing datasets RAVEL
Benchmarks: SAEBench sparse probing RAVEL AutoInterp
Metrics: explained variance feature recovery cosine similarity AutoInterp accuracy sparse probing accuracy RAVEL disentanglement score cross-entropy loss KL-divergence
Baselines: BatchTopK SAE JumpReLU SAE ReLU SAE TopK SAE Matryoshka SAE
Builds on: BatchTopK SAE JumpReLU SAE SAEBench RAVEL
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