Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Campos, Cedric M."'
Polyak's Heavy Ball (PHB; Polyak, 1964), a.k.a. Classical Momentum, and Nesterov's Accelerated Gradient (NAG; Nesterov, 1983) are well know examples of momentum-descent methods for optimization. While the latter outperforms the former, solely general
Externí odkaz:
http://arxiv.org/abs/2404.09363
Publikováno v:
Journal of Machine Learning Research 24 (2023) 25:1-33
Many of the new developments in machine learning are connected with gradient-based optimization methods. Recently, these methods have been studied using a variational perspective. This has opened up the possibility of introducing variational and symp
Externí odkaz:
http://arxiv.org/abs/2106.02700
Autor:
Campos, Cédric M., Sanz-Serna, J. M.
Publikováno v:
Journal of Computational Physics 346 (2017) 340-355
The implementation of multi-stage splitting integrators is essentially the same as the implementation of the familiar Strang/Verlet method. Therefore multi-stage formulas may be easily incorporated into software that now uses the Strang/Verlet integr
Externí odkaz:
http://arxiv.org/abs/1703.09958
In recent years, much effort in designing numerical methods for the simulation and optimization of mechanical systems has been put into schemes which are structure preserving. One particular class are variational integrators which are momentum preser
Externí odkaz:
http://arxiv.org/abs/1502.00325
Autor:
Campos, Cédric M., Sanz-Serna, J. M.
We study a method, Extra Chance Generalized Hybrid Monte Carlo, to avoid rejections in the Hybrid Monte Carlo method and related algorithms. In the spirit of delayed rejection, whenever a rejection would occur, extra work is done to find a fresh prop
Externí odkaz:
http://arxiv.org/abs/1407.8107
Autor:
Campos, Cédric M.
We reconsider the variational derivation of symplectic partitioned Runge-Kutta schemes. Such type of variational integrators are of great importance since they integrate mechanical systems with high order accuracy while preserving the structural prop
Externí odkaz:
http://arxiv.org/abs/1307.6139
A description of classical field theories of first order in terms of Lagrangian submanifolds of premultisymplectic manifolds is presented. For this purpose, a Tulczyjew's triple associated with a fibration is discussed. The triple is adapted to the e
Externí odkaz:
http://arxiv.org/abs/1110.4778
We develop an intrinsic geometrical setting for higher order constrained field theories. As a main tool we use an appropriate generalization of the classical Skinner-Rusk formalism. Some examples of application are studied, in particular, application
Externí odkaz:
http://arxiv.org/abs/1005.2152
Publikováno v:
J.Phys.A42:475207,2009
The aim of this paper is to propose an unambiguous intrinsic formalism for higher-order field theories which avoids the arbitrariness in the generalization of the conventional description of field theories, which implies the existence of different Ca
Externí odkaz:
http://arxiv.org/abs/0906.0389
The notions of uniformity and homogeneity of elastic materials are reviewed in terms of Lie groupoids and frame bundles. This framework is also extended to consider the case Functionally Graded Media, which allows us to obtain some homogeneity condit
Externí odkaz:
http://arxiv.org/abs/0711.2638