Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Matt Jacobs"'
Publikováno v:
European Journal of Applied Mathematics, Pp 1-21
Adversarial training is a min-max optimization problem that is designed to construct robust classifiers against adversarial perturbations of data. We study three models of adversarial training in the multiclass agnostic-classifier setting. We prove t
Externí odkaz:
https://doaj.org/article/1e19ca8bae5f4116b234a86e846696c4
Publikováno v:
SIAM Journal on Numerical Analysis. 59:2639-2668
We introduce a novel framework to model and solve first-order mean field game systems with nonlocal interactions, extending the results in [L. Nurbekyan and J. Saude, Port. Math., 75 (2018), pp. 36...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ec6a1ef6c160b0dcb74abae20246c8a
https://doi.org/10.1137/20m1334668
https://doi.org/10.1137/20m1334668
Autor:
Andrea L. Bertozzi, Chueh-Yu Wu, Alexis Joo, Dino Di Carlo, Matt Jacobs, Kyung Ha, Bao Wang, Joseph de Rutte, Mengxing Ouyang
Publikováno v:
Science advances, vol 6, iss 45
Science Advances
Science Advances
Shaped microparticles with tailored surface chemistry template monodisperse drops compatible with molecular and cellular assays.
The ability to create uniform subnanoliter compartments using microfluidic control has enabled new approaches for an
The ability to create uniform subnanoliter compartments using microfluidic control has enabled new approaches for an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c849a4e16ee85a13ea5163c5bfe0e2ad
https://escholarship.org/uc/item/31q6q49g
https://escholarship.org/uc/item/31q6q49g
Publikováno v:
Archive for rational mechanics and analysis, 2020, Vol.239(1), pp.389-430 [Peer Reviewed Journal]
Inspired by recent works on the threshold dynamics scheme for multi-phase mean curvature flow (by Esedo\={g}lu-Otto and Laux-Otto), we introduce a novel framework to approximate solutions of the Muskat problem with surface tension. Our approach is ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d9f10d7629b89e48ce39e2f095938de
https://doi.org/10.1007/s00205-020-01579-3
https://doi.org/10.1007/s00205-020-01579-3
We present a method to efficiently compute Wasserstein gradient flows. Our approach is based on a generalization of the back-and-forth method (BFM) introduced in Jacobs and Léger [Numer. Math.146(2020) 513–544.]. to solve optimal transport problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7065236c43f44a00f6acff1fc9487e6
One of the most important aims of grain boundary modeling is to predict the evolution of a large collection of grains in phenomena such as abnormal grain growth, coupled grain boundary motion, and recrystallization that occur under extreme thermomech
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd3a1c7dd933af76abb02852c2281136
We introduce a novel variant of the JKO scheme to approximate Darcy’s law with a pressure dependent source term. By introducing a new variable that implicitly controls the source term, our scheme is still able to use the standard Wasserstein-2-metr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa5ca29200316b9cb5a7f89a93904045
Publikováno v:
Journal of Computational Physics. 354:288-310
We show how auction algorithms, originally developed for the assignment problem, can be utilized in Merriman, Bence, and Osher's threshold dynamics scheme to simulate multi-phase motion by mean curvature in the presence of equality and inequality vol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::164e4718f9263d4edf0bf43b5d8b6a18
https://doi.org/10.1016/j.jcp.2017.10.036
https://doi.org/10.1016/j.jcp.2017.10.036
Publikováno v:
Journal of Computational Physics. 337:62-83
We show how to construct a convolution kernel that has a desired anisotropic surface tension and desired anisotropic mobility to be used in threshold dynamics schemes for simulating weighted motion by mean curvature of interfaces, including networks
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1ea44de3865a3fd55339def880fd0dc
https://doi.org/10.1016/j.jcp.2017.02.023
https://doi.org/10.1016/j.jcp.2017.02.023
Autor:
Matt Jacobs, Selim Esedoglu
Publikováno v:
SIAM Journal on Numerical Analysis. 55:2123-2150
Threshold dynamics and its extensions have proven useful in computing interfacial motions in applications as diverse as materials science and machine learning. Certain desirable properties of the algorithm, such as unconditional monotonicity in two-p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21763ab4d4c82d95a8460bad273bed12
https://doi.org/10.1137/16m1087552
https://doi.org/10.1137/16m1087552