Abstract: Reliable and efficient trajectory generation methods are a fundamental need for autonomous dynamical systems. The goal of this article is to provide a comprehensive tutorial of three major ...

The path from block-based programming to vibe coding represents a shift from mastering the mechanics of implementation to ...

Preserving quantum information is key to developing useful quantum computing systems. But interacting quantum systems are chaotic and follow laws of thermodynamics, eventually leading to information ...

1 Department of Mathematics, Feni University, Feni, Bangladesh. 2 Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh. The dynamical behavior of ...

NUS mathematicians have developed a new theoretical framework based on dynamical systems to understand when and how a deep neural network can learn arbitrary relationships. Despite achieving ...

Abstract: In this paper, we develop a semidefinite programming (SDP) framework for convergence rate analysis of proximal algorithms designed to solve convex composite optimization problems. We first ...

A dynamical programming approach is used to deal with the problem of controlling the directed abelian Dhar-Ramaswamy model on two-dimensional square lattice. Two strategies are considered to obtain ...