mlsanityData to 7 Oct 2026

Bayesian Neural Networks Avoid Encoding Complex and Perturbation-Sensitive Concepts

arXiv 2302.13095 ↗First posted 25 Feb 2023cs.LG cs.AI cs.CVcited by 9

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Abstract (arXiv)

In this paper, we focus on mean-field variational Bayesian Neural Networks (BNNs) and explore the representation capacity of such BNNs by investigating which types of concepts are less likely to be encoded by the BNN. It has been observed and studied that a relatively small set of interactive concepts usually emerge in the knowledge representation of a sufficiently-trained neural network, and such concepts can faithfully explain the network output. Based on this, our study proves that compared to standard deep neural networks (DNNs), it is less likely for BNNs to encode complex concepts. Experiments verify our theoretical proofs. Note that the tendency to encode less complex concepts does not necessarily imply weak representation power, considering that complex concepts exhibit low generalization power and high adversarial vulnerability. The code is available at https://github.com/sjtu-xai-lab/BNN-concepts.

Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). Builds on 23 of its 43 references that are in the map. First posted on arXiv 25 Feb 2023.

Builds on

23 of 43 references.

References · 23

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11 more
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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 3; 2025: 2; 2026: 4.

9 papers.