22 citations · 109 across the 52 of their papers we have counts for
5 papers · 1 filter
On gradient flows initialized near maxima
Mohamed-Ali Belabbas
Let be a closed Riemannian manifold, and let be a smooth function on . We show the following holds generically for the function : for each maximu…
On the H-property for step-graphons and edge polytopes
Mohamed-Ali Belabbas, Xudong Chen, Tamer Basar
Graphons can be used as stochastic models to sample graphs on nodes for arbitrarily large. A graphon is said to have the -property if admits a decomp…
On Structural Rank and Resilience of Sparsity Patterns
Mohamed Ali Belabbas, Xudong Chen, Daniel Zelazo
A sparsity pattern in , for , is a vector subspace of matrices admitting a basis consisting of canonical basis vectors in $\mathbb{R}^{n \times m}…
Gossip over Holonomic Graphs
Xudong Chen, Mohamed-Ali Belabbas, Ji Liu
A gossip process is an iterative process in a multi-agent system where only two neighboring agents communicate at each iteration and update their states. The neighboring condition…
Geometric Heat Flow Method for Legged Locomotion Planning
Yinai Fan, Shenyu Liu, Mohamed-Ali Belabbas
We propose in this paper a motion planning method for legged robot locomotion based on Geometric Heat Flow framework. The motion planning task is challenging due to the hybrid natu…