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pro vyhledávání: '"Díaz, Alejandro A."'
Autor:
Baty, Enis, Díaz, Alejandro Hernández, Bridges, Chris, Davidson, Rebecca, Eckersley, Steve, Hadfield, Simon
State-Space Models (SSMs) have recently emerged as a powerful and efficient alternative to the long-standing transformer architecture. However, existing SSM conceptualizations retain deeply rooted biases from their roots in natural language processin
Externí odkaz:
http://arxiv.org/abs/2412.16146
The domain decomposition (DD) nonlinear-manifold reduced-order model (NM-ROM) represents a computationally efficient method for integrating underlying physics principles into a neural network-based, data-driven approach. Compared to linear subspace m
Externí odkaz:
http://arxiv.org/abs/2412.00507
In this paper, we study an asymptotically flat black hole spacetime with weakly nonminimally coupled monopole charge. We analytically and numerically investigate light ray propagation around such a black hole by employing the common Lagrangian formal
Externí odkaz:
http://arxiv.org/abs/2409.17031
A nonlinear-manifold reduced order model (NM-ROM) is a great way of incorporating underlying physics principles into a neural network-based data-driven approach. We combine NM-ROMs with domain decomposition (DD) for efficient computation. NM-ROMs off
Externí odkaz:
http://arxiv.org/abs/2312.00713
Autor:
Zerulla, Benedikt, Díaz, Alejandro Luna, Holzer, Christof, Rockstuhl, Carsten, Fernandez-Corbaton, Ivan, Krstić, Marjan
Second harmonic generation (SHG) is forbidden in centrosymmetric molecular materials. However, a signal is frequently observed from interfaces where the symmetry is broken. Whereas the effect can be phenomenologically accommodated, an ab initio quali
Externí odkaz:
http://arxiv.org/abs/2310.20297
Publikováno v:
Computer Methods in Applied Mechanics and Engineering, Volume 425, 2024, 116943, ISSN 0045-7825
This paper integrates nonlinear-manifold reduced order models (NM-ROMs) with domain decomposition (DD). NM-ROMs approximate the full order model (FOM) state in a nonlinear-manifold by training a shallow, sparse autoencoder using FOM snapshot data. Th
Externí odkaz:
http://arxiv.org/abs/2305.15163
Publikováno v:
Visual Review. 2024, Vol. 16 Issue 4, p227-244. 18p.
Autor:
Diaz, Alejandro
Despite the rapid progression in our understanding of neutrinos over the last half century, much is left unknown about their properties. This leaves neutrinos as the most promising portal for Beyond Standard Model (BSM) physics, and neutrinos have al
Externí odkaz:
http://arxiv.org/abs/2210.09418
Autor:
Diaz, Alejandro Penuela
Local foliations of area constrained Willmore surfaces on a 3-dimensional Riemannian manifold were constructed by Lamm, Metzger and Schulze, and Ikoma, Machiodi and Mondino, the leaves of these foliations are, in particular, critical surfaces of the
Externí odkaz:
http://arxiv.org/abs/2209.04904
Autor:
Metzger, Jan, Diaz, Alejandro Peñuela
Inspired by the small sphere-limit for quasi-local energy we study local foliations of surfaces with prescribed mean curvature. Following the strategy used by Ye in 1991 to study local constant mean curvature foliations, we use a Lyapunov Schmidt red
Externí odkaz:
http://arxiv.org/abs/2207.14025