Compositionality Unlocks Deep Interpretable Models

Thomas Dooms, Ward Gauderis, Geraint A. Wiggins, Jose Oramas
4/3/2025
cs.LG

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Abstract

We propose $χ$-net, an intrinsically interpretable architecture combining the compositional multilinear structure of tensor networks with the expressivity and efficiency of deep neural networks. $χ$-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.

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@article{dooms2025compositionality,
  title  = {Compositionality Unlocks Deep Interpretable Models},
  author = {Thomas Dooms and Ward Gauderis and Geraint A. Wiggins and Jose Oramas},
  year   = {2025},
  eprint = {2504.02667},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2504.02667v1}
}

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