Large-scale sparse inverse covariance matrix estimation

M Bollhofer, A Eftekhari, S Scheidegger… - SIAM Journal on Scientific …, 2019 - SIAM
The estimation of large sparse inverse covariance matrices is a ubiquitous statistical
problem in many application areas such as mathematical finance, geology, health, and …

[HTML][HTML] Block-enhanced precision matrix estimation for large-scale datasets

A Eftekhari, D Pasadakis, M Bollhöfer… - Journal of computational …, 2021 - Elsevier
The ℓ 1-regularized Gaussian maximum likelihood method is a common approach for
sparse precision matrix estimation, but one that poses a computational challenge for high …

Quadratic sparse gaussian graphical model estimation method for massive variables

J Zhang, M Wang, Q Li, S Wang… - … Joint Conference on …, 2020 - research.monash.edu
We consider the problem of estimating a sparse Gaussian Graphical Model with a special
graph topological structure and more than a million variables. Most previous scalable …

Algorithm XXX: Sparse Precision Matrix Estimation With SQUIC

A Eftekhari, L Gaedke-Merzhäuser… - ACM Transactions on …, 2024 - dl.acm.org
We present SQUIC, a fast and scalable package for sparse precision matrix estimation. The
algorithm employs a second-order method to solve the-regularized maximum likelihood …

Sparse Quadratic Approximation for Graph Learning

D Pasadakis, M Bollhöfer… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Learning graphs represented by-matrices via an-regularized Gaussian maximum-likelihood
method is a popular approach, but also one that poses computational challenges for large …

The Gaia AVU–GSR solver: CPU+ GPU parallel solutions for linear systems solving and covariances calculation toward exascale systems

V Cesare, U Becciani, A Vecchiato… - … for Astronomy VIII, 2024 - spiedigitallibrary.org
We GPU ported with CUDA the solver module of the Astrometric Verification Unit–Global
Sphere Reconstruction (AVU–GSR) pipeline for the ESA Gaia mission. The code finds the …

Scalable algorithms for high-dimensional graphical lasso and function approximation

A Eftekhari - 2021 - folia.unifr.ch
Fundamental tasks in multivariate and numerical analysis, such as sparse precision matrix
estimation via graphical lasso and function approximation, are formulated in ever-increasing …

Structure learning of sparse GGMs over multiple access networks

M Tavassolipour, A Karamzade… - IEEE Transactions …, 2019 - ieeexplore.ieee.org
A central machine is interested in estimating the underlying structure of a sparse Gaussian
Graphical Model (GGM) from a dataset distributed across multiple local machines. The local …

Learning and clustering graphs from high dimensional data

D Pasadakis - 2023 - folia.unifr.ch
Estimating the graphical structures of high dimensional data and identifying the presence of
clusters in them are ubiquitous tasks in every scientific domain that deals with interacting or …

Estudo comparativo de Métodos de Resolução de Sistemas Lineares para Matrizes Cheias e Esparsas

RC Brum - 2019 - bdtd.uerj.br
Computacionais)–Instituto de Matemática e Estatística, Universidade do Estado do Rio de
Janeiro, Rio de Janeiro. Sistemas lineares são modelos recorrentes na resolução de …