arXiv Machine Learning
Transversal Pooling Neural Networks
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arXiv Machine Learning
Jun 3
Theoretical Aspects of Lie Groupoid and Lie Algebroid Equivariant Convolutional Neural Networks
arXiv:2606. 02758v1 Announce Type: cross Abstract: We introduce Lie groupoid equivariant neural networks as a specialization of recently proposed topological category-equivariant neural networks to the differentiable setting.
arXiv Machine Learning
Sep 22
Optimal Symmetries in Binary Classification
arXiv:2408.08823v2 Announce Type: replace Abstract: We develop a theoretical foundation for designing group-equivariant neural networks that align the choice of symmetries with the underlying probabi...
arXiv Machine Learning
Jul 9
Network Dynamics-Based Framework for Understanding Deep Neural Networks
arXiv:2501. 02436v5 Announce Type: replace Abstract: Advancements in artificial intelligence call for a deeper understanding of the fundamental mechanisms underlying deep learning.
arXiv AI
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Geometrically Constrained and Token-Based Probabilistic Spatial Transformers
arXiv:2509. 11218v2 Announce Type: replace-cross Abstract: Spatial transformations such as rotation and scale obscure the morphological cues needed for accurate image classification.
arXiv Machine Learning
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Topology enables learning-based hydrodynamic prediction of the global river system
arXiv:2602.22293v2 Announce Type: replace Abstract: Accurate river prediction is essential for water, food and energy security, yet remains challenging across entire river networks. Machine learning...
arXiv Machine Learning
Jun 11
Neural ensemble Kalman filter: Data assimilation for compressible flows with shocks
arXiv:2602. 23461v2 Announce Type: replace-cross Abstract: Data assimilation (DA) for compressible flows with shocks is challenging because many classical DA methods generate spurious oscillations and nonphysical features near uncertain shocks.