Zobrazeno 1 - 10
of 2 697
pro vyhledávání: '"P. Yorke"'
Modern Mixed Integer Linear Programming (MILP) solvers use the Branch-and-Bound algorithm together with a plethora of auxiliary components that speed up the search. In recent years, there has been an explosive development in the use of machine learni
Externí odkaz:
http://arxiv.org/abs/2411.18321
Peptides are ubiquitous and important biologically derived molecules, that have been found to self-assemble to form a wide array of structures. Extensive research has explored the impacts of both internal chemical composition and external environment
Externí odkaz:
http://arxiv.org/abs/2411.05421
Some of the basic properties of any dynamical system can be summarized by a graph. The dynamical systems in our theory run from maps like the logistic map to ordinary differential equations to dissipative partial differential equations. We define two
Externí odkaz:
http://arxiv.org/abs/2410.05520
Intermittent switchings between weakly chaotic (laminar) and strongly chaotic (bursty) states are often observed in systems with high-dimensional chaotic attractors, such as fluid turbulence. They differ from the intermittency of a low-dimensional sy
Externí odkaz:
http://arxiv.org/abs/2409.08870
Autor:
Kereopa-Yorke, B
The rapid integration of Artificial Intelligence (AI) systems across critical domains necessitates robust security evaluation frameworks. We propose a novel approach that introduces three metrics: System Complexity Index (SCI), Lyapunov Exponent for
Externí odkaz:
http://arxiv.org/abs/2404.10782
When fitting a multi-parameter model to a data set, computer algorithms may suggest that a range of parameters provide equally reasonable fits, making the parameter estimation difficult. Here, we prove this fact for an SIR model. We say a set of para
Externí odkaz:
http://arxiv.org/abs/2404.04181
Mixed Integer Linear Programming (MILP) is a pillar of mathematical optimization that offers a powerful modeling language for a wide range of applications. During the past decades, enormous algorithmic progress has been made in solving MILPs, and man
Externí odkaz:
http://arxiv.org/abs/2402.05501
Autor:
De Leo, Roberto, Yorke, James A.
While studying gradient dynamical systems (DSs), Morse introduced the idea of encoding the qualitative behavior of a DS into a graph. Smale later refined Morse's idea and extended it to Axiom-A diffeomorphisms on manifolds. In Smale's vision, nodes a
Externí odkaz:
http://arxiv.org/abs/2401.12327
The heterochaos baker maps are piecewise affine maps of the unit square or cube introduced in [Nonlinearity 34, 2021, 5744--5761], to provide a hands-on, elementary understanding of complicated phenomena in systems of large degrees of freedom. We rev
Externí odkaz:
http://arxiv.org/abs/2401.00836
Robust Optimal Control (ROC) with adjustable uncertainties has proven to be effective in addressing critical challenges within modern energy networks, especially the reserve and provision problem. However, prior research on ROC with adjustable uncert
Externí odkaz:
http://arxiv.org/abs/2312.11251