arXiv Machine Learning

On a Geometry of Interbrain Networks

arXiv:2509. 10650v4 Announce Type: replace-cross Abstract: Effective analysis in neuroscience benefits significantly from robust conceptual frameworks.

arXiv AI
Jun 24

Topological Neural Dynamics: A Neuron-wise Framework for Sequence Modeling

arXiv:2606. 21295v2 Announce Type: replace-cross Abstract: Existing sequence models, including RNNs, LSTMs, continuous-time networks, and Transformers, share a common structural principle: layer-wise dynamics, where all neurons in the same layer co-evolve through a shared parameterized operator, leaving individual neurons no freedom to evolve independently.

By Borui Cai, Yao Zhao
arXiv Machine Learning
1d ago

A Unified Geometric Framework for Developmental Analysis of Spatial Transcriptomic Data

arXiv:2608. 15306v1 Announce Type: cross Abstract: High-throughput single-cell and spatial transcriptomic technologies provide high-resolution snapshots of heterogeneous cellular states, but their destructive nature prevents repeated measurements of the same cells over time.

By Mary Chriselda Antony Oliver, Kaitlyn Hohmeier, Tuyen Tran, Alejandra Castillo, Caroline Moosm\"uller, Shiying Li
arXiv Machine Learning
Jul 23

Geometry-Guided Generative Representation for Functional Brain Graphs

arXiv:2511. 04539v2 Announce Type: replace-cross Abstract: In network neuroscience, functional brain systems are often characterized using separate yet related graph-theoretic or spectral descriptors, overlooking how these properties covary and partially overlap across individuals and conditions.

By Subati Abulikemu, Tiago Azevedo, Michail Mamalakis, John Suckling
arXiv Machine Learning
Jun 25

SDE-Driven Spatio-Temporal Hypergraph Neural Networks for Irregular Longitudinal fMRI Connectome Modeling in Alzheimer's Disease

arXiv:2603. 20452v2 Announce Type: replace Abstract: Longitudinal neuroimaging is essential for modeling disease progression in Alzheimer's disease (AD), yet irregular sampling and missing visits pose substantial challenges for learning reliable temporal representations.

By Ruiying Chen, Yutong Wang, Houliang Zhou, Wei Liang, Yong Chen, Lifang He
arXiv Machine Learning
Jun 8

Geodesics of Dynamic Graphs for Regime Change Detection

arXiv:2606. 07151v1 Announce Type: new Abstract: Traditional change point detection in dynamic networks assumes abrupt transitions between stationary states, overlooking scenarios of continuous evolution which arise in most real-world applications, such as social networks or physical systems.

By William Cappelletti, \'Etienne Voutaz, Pascal Frossard