Publications related to Structure theorem for finitely generated modules over a principal ideal domain

A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces

In this paper, we propose a reduced-order modeling strategy for two-way Dirichlet-Neumann parametric coupled problems solved with domain-decomposition (DD) sub-structuring methods. We split the original coupled differential problem into two sub-problems wi ...

New York2024

Correlating long-term performance and aging behaviour of building integrated PV modules

Christophe Ballif, Alessandro Francesco Aldo Virtuani, Ebrar Özkalay

Because building-integrated photovoltaic (BIPV) modules are fully integrated into a building envelope, the back of the module can be exposed to little or no ventilation, resulting in increased operating temperatures. As the temperature increases, the perfo ...

Elsevier Science Sa2024

The multivariate Serre conjecture ring

Luc Guyot

It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension

San Diego2023

Detecting whether a stochastic process is finitely expressed in a basis

Victor Panaretos, Neda Mohammadi Jouzdani

Is it possible to detect if the sample paths of a stochastic process almost surely admit a finite expansion with respect to some/any basis? The determination is to be made on the basis of a finite collection of discretely/noisily observed sample paths. We ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2023

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Vlad Serban, Nihar Prakash Gargava

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Adaptive Stochastic Variance Reduction for Non-convex Finite-Sum Minimization

Volkan Cevher, Kimon Antonakopoulos, Efstratios Panteleimon Skoulakis, Leello Tadesse Dadi, Ali Kavis

We propose an adaptive variance-reduction method, called AdaSpider, for minimization of L-smooth, non-convex functions with a finite-sum structure. In essence, AdaSpider combines an AdaGrad-inspired [Duchi et al., 2011, McMahan & Streeter, 2010], but a fai ...

2022

Stochastic distributed learning with gradient quantization and double-variance reduction

Sebastian Urban Stich, Konstantin Mishchenko

We consider distributed optimization over several devices, each sending incremental model updates to a central server. This setting is considered, for instance, in federated learning. Various schemes have been designed to compress the model updates in orde ...

TAYLOR & FRANCIS LTD2022

Corrosion testing of solar cells: Wear-out degradation behavior

Christophe Ballif, Alessandro Francesco Aldo Virtuani, Luca Gnocchi, Andrew Wayne Fairbrother

Corrosion is one of the main end-of-life degradation and failure modes in photovoltaic (PV) modules. However, it is a gradual process and can take many years to become a major risk factor because of the slow accumulation of water and acetic acid (from enca ...

ELSEVIER2022

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Jonathan Gruber

Let G be either a simple linear algebraic group over an algebraically closed field of characteristic l>0 or a quantum group at an l-th root of unity. The category Rep(G) of finite-dimensional G-modules is non-semisimple. In this thesis, we develop new tech ...

EPFL2022

On complete reducibility of tensor products of simple modules over simple algebraic groups

Jonathan Gruber

Let G be a simply connected simple algebraic group over an al- gebraically closed ﬁeld k of characteristic p > 0. The category of rationalG-modules is not semisimple. We consider the question of when the tensorproduct of two simple G-modules L(λ) and L(μ) ...

2021

Structure theorem for finitely generated modules over a principal ideal domain

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A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces

Correlating long-term performance and aging behaviour of building integrated PV modules

The multivariate Serre conjecture ring

Detecting whether a stochastic process is finitely expressed in a basis

Moments of the number of points in a bounded set for number field lattices

Adaptive Stochastic Variance Reduction for Non-convex Finite-Sum Minimization

Stochastic distributed learning with gradient quantization and double-variance reduction

Corrosion testing of solar cells: Wear-out degradation behavior

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

On complete reducibility of tensor products of simple modules over simple algebraic groups

A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces

Moments of the number of points in a bounded set for number field lattices

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Corrosion testing of solar cells: Wear-out degradation behavior

The multivariate Serre conjecture ring

Adaptive Stochastic Variance Reduction for Non-convex Finite-Sum Minimization

On complete reducibility of tensor products of simple modules over simple algebraic groups

Correlating long-term performance and aging behaviour of building integrated PV modules

Stochastic distributed learning with gradient quantization and double-variance reduction

Detecting whether a stochastic process is finitely expressed in a basis