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Energy-based Out-of-distribution Detection

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arxiv 2010.03759 v4 pith:KWQBFBKH submitted 2020-10-08 cs.LG cs.AI

classification cs.LGcs.AI
keywords energyscorescoressoftmaxconfidencedetectionout-of-distributionenergy-based
verification ladder T0 review T1 audit T2 compute T3 formal
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Determining whether inputs are out-of-distribution (OOD) is an essential building block for safely deploying machine learning models in the open world. However, previous methods relying on the softmax confidence score suffer from overconfident posterior distributions for OOD data. We propose a unified framework for OOD detection that uses an energy score. We show that energy scores better distinguish in- and out-of-distribution samples than the traditional approach using the softmax scores. Unlike softmax confidence scores, energy scores are theoretically aligned with the probability density of the inputs and are less susceptible to the overconfidence issue. Within this framework, energy can be flexibly used as a scoring function for any pre-trained neural classifier as well as a trainable cost function to shape the energy surface explicitly for OOD detection. On a CIFAR-10 pre-trained WideResNet, using the energy score reduces the average FPR (at TPR 95%) by 18.03% compared to the softmax confidence score. With energy-based training, our method outperforms the state-of-the-art on common benchmarks.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    OS-level defenses against self-hosted AI agents that corrupt their own memory/config files can close most attack cells but cannot detect small in-distribution memory edits, leaving a residual surface.

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    Recording how an image's representation evolves block-by-block, relative to learned class routes, improves OOD detection in 131/152 comparisons and clean classification in 71/72 model–dataset cases.

  3. Spend Experts Where You Are Unsure: Confidence-Adaptive Routing for Mixture-of-Experts LoRA

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    Replacing fixed top-k routing in MoE-LoRA with router-confidence-based nucleus admission plus an expert-disagreement extension improves accuracy and OOD detection at matched average compute.

  4. Tackling the Noisy Elephant in the Room: Label Noise-robust Out-of-Distribution Detection via Loss Correction and Low-rank Decomposition

    cs.LG 2025-09 reject novelty 6.0 of 10

    NOODLE corrects noisy labels with a transition matrix and cleans features via low-rank sparse decomposition, improving OOD detection under label noise.

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    A variational loss combining KL divergence and the Information Bottleneck predicts a piecewise-linear shaping function for OOD detection that beats existing element-wise shaping methods on ImageNet and CIFAR benchmarks.

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