Research map / Learning theory and algorithms / Sample complexity
Projected Neural Additive Models as Universal Approximators
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Establishes that projected neural additive models (NAMs augmented with a learnable linear transformation T capturing cross-variable interactions) are universal approximators.
Problem
Neural additive models are interpretable but lack expressivity because of their rigid additive structure, while MLPs are universal approximators but not transparent.
Approach
Augments NAMs with a learnable linear transformation T so that cross-variable interactions can be captured while retaining an interpretable structure, and provides a theoretical proof that the resulting PNAMs are universal approximators.
Key results
- Theoretical result establishing that PNAMs are universal approximators, addressing the expressivity gap of NAMs relative to MLPs.
Limitations
- Only the abstract was available; empirical validation details are not stated in the provided text.
Experimental setup
Baselines: neural additive models multi-layer perceptrons
Builds on: neural additive models multi-layer perceptron
Closest papers by meaning
- Improving Neural Additive Models with Bayesian Principles (ICML 2024 · similarity 0.86)
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- OrthoReg: Orthogonal Regularization for Hybrid Symbolic-Neural Dynamical Systems (NeurIPS 2026 · similarity 0.84)
- Expressivity of Neural Networks with Random Weights and Learned Biases (ICLR 2025 · similarity 0.84)
- Explainable Neural Networks with Guarantee: A Sparse Estimation Approach (AAAI 2025 · similarity 0.84)
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