Compositionality Unlocks Deep Interpretable Models
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Abstract (arXiv)
We propose chi-net, an intrinsically interpretable architecture combining the compositional multilinear structure of tensor networks with the expressivity and efficiency of deep neural networks. chi-nets retain equal accuracy compared to their baseline counterparts. Our novel, efficient diagonalisation algorithm, ODT, reveals linear low-rank structure in a multilayer SVHN model. We leverage this toward formal weight-based interpretability and model compression.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 11 of its 19 references that are in the map. First posted on arXiv 3 Apr 2025.
Builds on
11 of 19 references.
References · 11
- 2020GLU Variants Improve Transformercited by 1,724
- 2016Why does deep and cheap learning work so well?cited by 100
- 2021QNLP in Practice: Running Compositional Models of Meaning on a Quantum Computercited by 65
- 2020Deep Polynomial Neural Networkscited by 63
- 2020Towards falsifiable interpretability researchcited by 53
- 2018Quantum Entanglement in Deep Learning Architecturescited by 49
- 2024Bilinear MLPs enable weight-based mechanistic interpretabilitycited by 28
- 2024What is the Relationship between Tensor Factorizations and Circuits (and How Can We Exploit it)?cited by 22
- 2023A technical note on bilinear layers for interpretabilitycited by 12
- 2021Compositionality as we see it, everywhere around uscited by 11
- 2018Learning with tree-based tensor formatscited by 4
Built on by
Citing papers per year: 2025: 2; 2026: 4.
6 papers.
- 2025Towards Interpretability Without Sacrifice: Faithful Dense Layer Decomposition with Mixture of Decoderscited by 5
- 2025Finding Manifolds With Bilinear Autoencoderscited by 5
- 2026PolySAE: Modeling Feature Interactions in Sparse Autoencoders via Polynomial Decodingcited by 3
- 2026Bilinear autoencoders find interpretable manifoldscited by 1
- 2026From Mechanistic to Compositional Interpretabilitycited by 1
- 2026Benign Loss Landscapes Can Coexist with Worst-Case Hardnesscited by 0
- 2026Benign Loss Landscapes Can Coexist with Worst-Case Hardness11 Sep 2026
- 2026From Mechanistic to Compositional Interpretability9 May 2026
- 2026Bilinear autoencoders find interpretable manifolds9 May 2026
- 2026PolySAE: Modeling Feature Interactions in Sparse Autoencoders via Polynomial Decoding1 Feb 2026
- 2025Finding Manifolds With Bilinear Autoencoders19 Oct 2025
- 2025Towards Interpretability Without Sacrifice: Faithful Dense Layer Decomposition with Mixture of Decoders27 May 2025