Chongying Dong, distinguished professor of mathematics at UC Santa Cruz, is among 41 mathematical scientists around the world who were recently named to the American Mathematical Society’s class of ...

IALMO applies the principles of Riemannian manifold optimization to navigate the complex, non-convex landscape of the resource allocation problem. It efficiently leverages the augmented Lagrangian ...

In this chapter we extend the study of eigenvalues to Riemannian manifolds whose curvature may not be constant, but is, nevertheless, bounded. Before we delve into the general theory of Riemannian ...

Smooth manifold with an inner product on each tangent space From ... A tangent plane of the sphere with two vectors in it. A Riemannian metric allows one to take the inner product of these vectors. A ...

To reach its good approximate solution efficiently, we further convert the constrained sub-problem into an unconstrained one over manifold space, which is further addressed by employing the Riemannian ...

It focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak Riemannian geometry, exploring their connections to manifolds of (smooth) mappings. Topics ...

This valuable study investigates how the neural representation of individual finger movements changes during the early period of sequence learning. By combining a new method for extracting features ...

Inclusive model of expression dynamics with conventional or metabolic labeling based scRNA-seq / multiomics, vector field reconstruction and differential geometry analyses ...