22 citations · 109 across the 52 of their papers we have counts for
7 papers · 1 filter
On Integer Balancing of Digraphs
Mohamed-Ali Belabbas, Xudong Chen
A weighted digraph is balanced if the sums of the weights of the incoming and of the outgoing edges are equal at each vertex. We show that if these sums are integers, then the edge…
Vision-Based Shape Reconstruction of Soft Continuum Arms Using a Geometric Strain Parametrization
Ali AlBeladi, Girish Krishnan, Mohamed-Ali Belabbas +1
Interest in soft continuum arms has increased as their inherent material elasticity enables safe and adaptive interactions with the environment. However to achieve full autonomy in…
Triangulated Laman Graphs, Local Stochastic Matrices, and Limits of Their Products
Mohamed Ali Belabbas, Xudong Chen
We derive conditions on the products of stochastic matrices guaranteeing the existence of a unique limit invariant distribution. Belying our approach is the hereby defined notion o…
Gradient Approximation and Multi-Variable Derivative-Free Optimization based on Non-Commutative Maps
Jan Feiling, Mohamed-Ali Belabbas, Christian Ebenbauer
In this work, multi-variable derivative-free optimization algorithms for unconstrained optimization problems are developed. A novel procedure for approximating the gradient of mult…
On the structural stability of random systems
Mohamed Ali Belabbas, Artur Kirkoryan
Understanding which system structure can sustain stable dynamics is a fundamental step in the design and analysis of large scale dynamical systems. Towards this goal, we investigat…
On implicit regularization: Morse functions and applications to matrix factorization
Mohamed Ali Belabbas
In this paper, we revisit implicit regularization from the ground up using notions from dynamical systems and invariant subspaces of Morse functions. The key contributions are a ne…