4 papers
Multimodal Graph Neural Networks for Prognostic Modeling of Brain Network Reorganization
Preksha Girish, Rachana Mysore, Kiran K. N. +3
Understanding the dynamic reorganization of brain networks is critical for predicting cognitive decline, neurological progression, and individual variability in clinical outcomes.…
Mathematical Foundations of Neural Tangents and Infinite-Width Networks
Rachana Mysore, Preksha Girish, Kavitha Jayaram +3
We investigate the mathematical foundations of neural networks in the infinite-width regime through the Neural Tangent Kernel (NTK). We propose the NTK-Eigenvalue-Controlled Residu…
Geometric-Stochastic Multimodal Deep Learning for Predictive Modeling of SUDEP and Stroke Vulnerability
Preksha Girish, Rachana Mysore, Mahanthesha U +3
Sudden Unexpected Death in Epilepsy (SUDEP) and acute ischemic stroke are life-threatening conditions involving complex interactions across cortical, brainstem, and autonomic syste…
Persistent Topological Structures and Cohomological Flows as a Mathematical Framework for Brain-Inspired Representation Learning
Preksha Girish, Rachana Mysore, Mahanthesha U +2
This paper presents a mathematically rigorous framework for brain-inspired representation learning founded on the interplay between persistent topological structures and cohomologi…