arXiv Machine Learning July 8, 2026 By Gunner Levi Howe

Level-Crossing Density as a Mesh-Free High-Frequency Auxiliary Loss for Implicit Neural Representations

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arXiv:2607. 05815v1 Announce Type: new Abstract: The Minkowski functionals of a field's excursion sets -- area, boundary measure, and Euler characteristic -- describe its level-set morphology; the Euler characteristic is the cheapest handle on topology.

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arXiv Machine Learning

Jul 23

Hard Guarantees at a Measured Price: Entropy-Stable Learned Finite Volumes for Compressible Flow

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arXiv Machine Learning

Sep 23

Scalable Minimum-Volume Simplex Estimation with Non-asymptotic Analysis

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arXiv Machine Learning

Aug 11

Eikonal Regularisation in Physics-Informed Neural Networks for Three-Dimensional Level-Set Advection: Transferability of Two-Dimensional Design Principles

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arXiv AI

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arXiv Machine Learning

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Fixed and Adaptive Topological DeepONets: Functional Measurements on Hausdorff Locally Convex Spaces

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arXiv Machine Learning

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Training Non-Differentiable Networks via Optimal Transport

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