4 papers
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…
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.…