arXiv Machine Learning August 21, 2026 By Akram Aldroubi

Partition of Unity Neural Networks for Interpretable Classification with Explicit Class Regions

Read the original on arXiv Machine Learning →

arXiv:2602. 00511v3 Announce Type: replace Abstract: We introduce \emph{Partition of Unity Neural Networks} (PUNNs), a neural-network architecture for multiclass classification based on the classical mathematical notion of a partition of unity.

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arXiv Machine Learning

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Fast approximation and learning of binary classification tasks in o-minimal structures using ReLU neural networks

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DFNN: A Deep Fr\'echet Neural Network Framework for Learning Metric-Space-Valued Responses

arXiv:2510.17072v2 Announce Type: replace Abstract: Regression with non-Euclidean responses---e.g., probability distributions, networks, symmetric positive-definite matrices, and compositions---has b...

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arXiv:2505. 24849v2 Announce Type: replace-cross Abstract: For three decades statistical mechanics has been providing a framework to analyse neural networks.

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Optimized Piecewise Affine Abstractions of Neural Networks with Learnable Activation Functions

arXiv:2602. 06737v2 Announce Type: replace Abstract: We present a generalized framework for the range verification of neural networks featuring non-linear activation functions.

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Fast approximation and learning of binary classification tasks in o-minimal structures using ReLU neural networks

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