Publications associées à Generalized least squares

We introduce Neural Network (NN for short) approximation architectures for the numerical solution of Boundary Integral Equations (BIEs for short). We exemplify the proposed NN approach for the boundary reduction of the potential problem in two spatial dime ...

SPRINGER/PLENUM PUBLISHERS2023

Robust Distributed Learning: Tight Error Bounds and Breakdown Point under Data Heterogeneity

Rachid Guerraoui, Nirupam Gupta, Youssef Allouah, Geovani Rizk, Rafaël Benjamin Pinot

The theory underlying robust distributed learning algorithms, designed to resist adversarial machines, matches empirical observations when data is homogeneous. Under data heterogeneity however, which is the norm in practical scenarios, established lower bo ...

2023

Acute TNF alpha levels predict cognitive impairment 6-9 months after COVID-19 infection

Dimitri Nestor Alice Van De Ville, Alessandra Griffa, Idris Guessous, Alexandre Cionca

Background: A neurocognitive phenotype of post-COVID-19 infection has recently been described that is characterized by a lack of awareness of memory impairment (i.e., anosognosia), altered functional connectivity in the brain's default mode and limbic netw ...

PERGAMON-ELSEVIER SCIENCE LTD2023

Gaia Focused Product Release: Asteroid orbital solution: Properties and assessment

Stephan Morgenthaler, Shuangqing Liao

Context. We report the exploitation of a sample of Solar System observations based on data from the third Gaia Data Release (Gaia DR3) of nearly 157 000 asteroids. It extends the epoch astrometric solution over the time coverage planned for the Gaia DR4, w ...

Les Ulis Cedex A2023

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation

Alexandre Caboussat, Dimitrios Gourzoulidis

We consider a least-squares/relaxation finite element method for the numerical solution of the prescribed Jacobian equation. We look for its solution via a least-squares approach. We introduce a relaxation algorithm that decouples this least-squares proble ...

SPRINGER/PLENUM PUBLISHERS2022

Iterative pre-conditioning for expediting the distributed gradient-descent method: The case of linear least-squares problem

Nirupam Gupta

This paper considers the multi-agent linear least-squares problem in a server-agent network architecture. The system comprises multiple agents, each with a set of local data points. The agents are connected to a server, and there is no inter-agent communic ...

PERGAMON-ELSEVIER SCIENCE LTD2022

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Florent Gérard Krzakala, Alia Abbara

There has been a recent surge of interest in the study of asymptotic reconstruction performance in various cases of generalized linear estimation problems in the teacher-student setting, especially for the case of i.i.d standard normal matrices. Here, we g ...

2022

Accelerated SGD for Non-Strongly-Convex Least Squares

Nicolas Henri Bernard Flammarion, Aditya Vardhan Varre

We consider stochastic approximation for the least squares regression problem in the non-strongly convex setting. We present the first practical algorithm that achieves the optimal prediction error rates in terms of dependence on the noise of the problem, ...

2022

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Generalized least squares

Stability: a search for structure

ReLU Neural Network Galerkin BEM

Robust Distributed Learning: Tight Error Bounds and Breakdown Point under Data Heterogeneity

Acute TNF alpha levels predict cognitive impairment 6-9 months after COVID-19 infection

Gaia Focused Product Release: Asteroid orbital solution: Properties and assessment

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation

Rapid Scalable Distributed Power Flow with Open-Source Implementation

Iterative pre-conditioning for expediting the distributed gradient-descent method: The case of linear least-squares problem

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Accelerated SGD for Non-Strongly-Convex Least Squares

Graph Chatbot

Chattez avec Graph Search

Stability: a search for structure

Acute TNF alpha levels predict cognitive impairment 6-9 months after COVID-19 infection

Robust Distributed Learning: Tight Error Bounds and Breakdown Point under Data Heterogeneity

Rapid Scalable Distributed Power Flow with Open-Source Implementation

ReLU Neural Network Galerkin BEM

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation

Gaia Focused Product Release: Asteroid orbital solution: Properties and assessment

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Accelerated SGD for Non-Strongly-Convex Least Squares

Iterative pre-conditioning for expediting the distributed gradient-descent method: The case of linear least-squares problem