Minimal Sufficient Representations for Self-interpretable Deep Neural Networks
Deep neural networks (DNNs) achieve remarkable predictive performance but remain difficult to interpret, largely due to overparameterization that obscures the minimal structure required for interpretation. Here we introduce DeepIn, a self-interpretable neural network framework that adaptively identifies and learns the minimal representation necessary for preserving the full expressive capacity of standard DNNs. We show that DeepIn can correctly identify the minimal representation dimension, select relevant variables, and recover the minimal sufficient network architecture for prediction. The resulting estimator achieves optimal non-asymptotic error rates that adapt to the learned minimal ...
| Authors | Zhiyao Tan, Liu Li, Huazhen Lin |
|---|---|
| Primary category | stat.ME |
| Published | 25 March 2026 |
| Last updated at source | 25 March 2026 |
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