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Sparse Autoencoders for Interpretable Out-of-Distribution Detection

Sparse Autoencoders for Interpretable Out-of-Distribution Detection
TL;DR

This paper introduces sparse autoencoders (SAEs) trained on intermediate layer activations to learn interpretable, disentangled features; it defines a novel post-hoc OOD score based on cosine similarity between a test sample’s sparse feature activations and the class-wise mean activations of in-distribution (ID) data — achieving state-of-the-art performance on standard OOD benchmarks while yielding human-interpretable insights into representation-level distribution shift.

Core Method: Interpretable OOD Detection via Sparse Autoencoders

The work shifts focus from final-layer outputs — the common bottleneck of existing OOD detectors — to rich hierarchical information encoded in intermediate neural activations. Sparse autoencoders (SAEs) are trained on these intermediate activations to discover highly sparse, semantically meaningful feature dictionaries.

ID/OOD Separation Mechanism and Novel OOD Score

  • Empirical finding: in-distribution (ID) and out-of-distribution (OOD) inputs activate largely disjoint subsets of SAE features;
  • Proposed OOD score: 1 − max<sub>c∈C</sub> cos(φ(x), μ<sub>c</sub>), where φ(x) is the sparse activation vector of test input x, and μ<sub>c</sub> is the mean sparse activation vector over ID samples of class c;
  • Fully post-hoc: requires no modification to the base model architecture or retraining of the backbone.

Dual Validation: Performance & Interpretability

  • Achieves state-of-the-art results on standard OOD detection benchmarks including CIFAR-10/100 vs. LSUN, iNaturalist, and Textures;
  • Outperforms prior methods such as ODIN, Mahalanobis distance, and Energy Score;
  • Enables interpretation via feature attribution: specific SAE features activated by OOD inputs can be visualized and linked to semantic anomalies;
  • Code and experimental setup are open-sourced; paper available at arXiv:2607.12094v1.
Sources (compliance trail)
https://arxiv.org/abs/2607.12094
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