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Paper · arXiv

All you need is SAMPAT

The current state of the art in AI/ML rests on deep neural architectures, which, in general, suffer from a lack of interpretability. Interpretability is crucial to gleaning insights while analyzing experimental data, where quantitative predictions may not be adequate for a scientist. We present a three layer neural architecture, SAMPAT (Smooth Approximation via Multivariate Polynomials and Analytic Transformations), that can provably learn a continuous, everywhere differentiable function, that can approximate any smooth function arbitrarily closely. SAMPAT's approximant can be expressed as a closed and compact algebraic, analytic expression, providing complete interpretability. Experiment...

AuthorsJayadeva, Madhur Aswani
Primary categorycs.LG
Published10 July 2026
Last updated at source10 July 2026
cs.LGcs.AIcs.CVmath.FA
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