Zobrazeno 1 - 10
of 1 123
pro vyhledávání: '"COHEN, ALBERT"'
Publikováno v:
Comptes Rendus. Mécanique, Vol , Iss , Pp 1-18 (2023)
Linear model reduction techniques design offline low-dimensional subspaces that are tailored to the approximation of solutions to a parameterized partial differential equation, for the purpose of fast online numerical simulations. These methods, such
Externí odkaz:
https://doaj.org/article/6570fc798d8b4344891e36e1116c8d58
To take full advantage of a specific hardware target, performance engineers need to gain control on compilers in order to leverage their domain knowledge about the program and hardware. Yet, modern compilers are poorly controlled, usually by configur
Externí odkaz:
http://arxiv.org/abs/2409.03864
We construct uniformly bounded solutions of the equation $div\, {\mathbf u}=f$ for arbitrary data $f$ in the critical spaces $L^d(\Omega)$, where $\Omega$ is a domain of ${\mathbb R}^d$. This question was addressed by Bourgain & Brezis, [On the equat
Externí odkaz:
http://arxiv.org/abs/2405.12703
A wide range of symbolic analysis and optimization problems can be formalized using polyhedra. Sub-classes of polyhedra, also known as sub-polyhedral domains, are sought for their lower space and time complexity. We introduce the Strided Difference B
Externí odkaz:
http://arxiv.org/abs/2405.11244
We consider the problem of recovering characteristic functions $u:=\chi_\Omega$ from cell-average data on a coarse grid, and where $\Omega$ is a compact set of $\mathbb{R}^d$. This task arises in very different contexts such as image processing, inve
Externí odkaz:
http://arxiv.org/abs/2402.00946
Autor:
Cohen, Albert, Risk, Jimmy
This paper presents a new framework for player valuation in European football, by fusing principles from financial mathematics and network theory. The valuation model leverages a "passing matrix" to encapsulate player interactions on the field, utili
Externí odkaz:
http://arxiv.org/abs/2312.16179
Autor:
VenkataKeerthy, S., Jain, Siddharth, Kalvakuntla, Umesh, Gorantla, Pranav Sai, Chitale, Rajiv Shailesh, Brevdo, Eugene, Cohen, Albert, Trofin, Mircea, Upadrasta, Ramakrishna
There is a growing interest in enhancing compiler optimizations with ML models, yet interactions between compilers and ML frameworks remain challenging. Some optimizations require tightly coupled models and compiler internals,raising issues with modu
Externí odkaz:
http://arxiv.org/abs/2311.10800
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis, In press
We consider the parametric elliptic PDE $-{\rm div} (a(y)\nabla u)=f$ on a spatial domain $\Omega$, with $a(y)$ a scalar piecewise constant diffusion coefficient taking any positive values $y=(y_1, \dots, y_d)\in ]0,\infty[^d$ on fixed subdomains $\O
Externí odkaz:
http://arxiv.org/abs/2304.10971
Autor:
Binev, Peter, Bonito, Andrea, Cohen, Albert, Dahmen, Wolfgang, DeVore, Ronald, Petrova, Guergana
We consider the problem of numerically approximating the solutions to a partial differential equation (PDE) when there is insufficient information to determine a unique solution. Our main example is the Poisson boundary value problem, when the bounda
Externí odkaz:
http://arxiv.org/abs/2301.05540