3 papers
cs.LG2026
When do complex-valued neural networks help? A study of representation, geometry, and optimization
Ashutosh Kumar
Complex-valued Neural Networks (CVNNs) are often motivated by domains where information is naturally encoded in magnitude and phase. Yet complex-valued inputs alone do not determin…
cs.LG2025
HypER: Hyperbolic Echo State Networks for Capturing Stretch-and-Fold Dynamics in Chaotic Flows
Pradeep Singh, Sutirtha Ghosh, Ashutosh Kumar +2
Forecasting chaotic dynamics beyond a few Lyapunov times is difficult because infinitesimal errors grow exponentially. Existing Echo State Networks (ESNs) mitigate this growth but…
cs.LG2025
Dynamics and Computational Principles of Echo State Networks: A Mathematical Perspective
Pradeep Singh, Ashutosh Kumar, Sutirtha Ghosh +2
Reservoir computing (RC) represents a class of state-space models (SSMs) characterized by a fixed state transition mechanism (the reservoir) and a flexible readout layer that maps…