IEEE

Online Optimization on Hadamard Manifolds: Curvature-Independent Regret Bounds on Horospherically Convex Objectives

Abstract: We study online Riemannian optimization on Hadamard manifolds under the framework of horospherical convexity (h-convexity). Prior work mostly relies on the geodesic convexity (g-convexity), ...

Manifold-Constrained Hyper-Connections: The Architectural Breakthrough That Might Redefine LLM Training

If mHC scales the way early benchmarks suggest, it could reshape how we think about model capacity, compute budgets and the ...
IEEE

Low-Dimensional Matrix Discriminant Analysis of EEG Network Connectivity on Riemannian Manifolds for Emotion Recognition

Abstract: Emotion recognition from electroencephalogram (EEG) is key in developing affective brain-computer interfaces (BCIs). The functional interaction of brain networks encodes emotion. Using ...
C&EN

Curvature Matters: Modeling Calcium Binding to Neutral and Anionic Phospholipid Bilayers

Institute of Organic Chemistry and Biochemistry, Academy of Sciences of the Czech Republic, Flemingovo náměstí 542/2, 160 00 Prague 6, Czech Republic Department of Physics of Biological Systems, ...