Zobrazeno 1 - 10
of 857
pro vyhledávání: '"Reyes, P. G."'
Autor:
Magnot, Jean-Pierre, Reyes, Enrique G.
We start from the classical Kadomtsev-Petviashvili hierarchy posed on formal pseudo-differential operators, and we produce two hierarchies of non-linear equations posed on non-formal pseudo-differential operators lying in the Kontsevich and Vishik's
Externí odkaz:
http://arxiv.org/abs/2409.13771
Asynchronous Bayesian optimization is a recently implemented technique that allows for parallel operation of experimental systems and disjointed workflows. Contrasting with serial Bayesian optimization which individually selects experiments one at a
Externí odkaz:
http://arxiv.org/abs/2406.15291
The ability to replicate predictions by machine learning (ML) or artificial intelligence (AI) models and results in scientific workflows that incorporate such ML/AI predictions is driven by numerous factors. An uncertainty-aware metric that can quant
Externí odkaz:
http://arxiv.org/abs/2301.05763
We propose a definition of a diffiety based on the theory of Frolicher structures. As a consequence, we obtain a natural Vinogradov sequence and, under the assumption of the existence of a suitable derivation, we can form on it a Kadomtsev-Petviashvi
Externí odkaz:
http://arxiv.org/abs/2212.07583
A Gaussian Process (GP) is a prominent mathematical framework for stochastic function approximation in science and engineering applications. This success is largely attributed to the GP's analytical tractability, robustness, non-parametric structure,
Externí odkaz:
http://arxiv.org/abs/2205.09070
Publikováno v:
J. Math. Phys. 63, 093501 (2022)
We review the integration of the KP hierarchy in several non-standard contexts. Specifically, we consider KP in the following associative differential algebras: an algebra equipped with a nilpotent derivation; an algebra of functions equipped with a
Externí odkaz:
http://arxiv.org/abs/2203.07062
Multi-stage screening pipelines are ubiquitous throughout experimental and computational science. Much of the effort in developing screening pipelines focuses on improving generative methods or surrogate models in an attempt to make each screening st
Externí odkaz:
http://arxiv.org/abs/2203.01143
In this paper we discuss integrable higher order equations {\em of Camassa-Holm (CH) type}. Our higher order CH-type equations are "geometrically integrable", that is, they describe one-parametric families of pseudo-spherical surfaces, in a sense exp
Externí odkaz:
http://arxiv.org/abs/2111.07733
Autor:
Magnot, Jean-Pierre, Reyes, Enrique G.
We equip the regular Fr\'echet Lie group of invertible, odd-class, classical pseudodifferential operators $Cl^{0,*}_{odd}(M,E)$ -- in which $M$ is a compact smooth manifold and $E$ a (complex) vector bundle over $M$ -- with pseudo-Riemannian metrics,
Externí odkaz:
http://arxiv.org/abs/2104.08159
Autor:
Baek, Soojung, Reyes, Kristofer G.
We review our recent work in the area of autonomous materials research, highlighting the coupling of machine learning methods and models and more problem-aware modeling. We review the general Bayesian framework for closed-loop design employed by many
Externí odkaz:
http://arxiv.org/abs/2103.07776