Sparse representations and compressive sampling approaches in engineering mechanics: A review of theoretical concepts and diverse applications

IA Kougioumtzoglou, I Petromichelakis… - … Engineering Mechanics, 2020 - Elsevier
… In passing, it is worth noting that there also exist generalizations of the concept of a vector …
sum of singular values of a matrix) can be construed as generalizations of the ℓ 2 - and the ℓ 1 -…

Efficient learning of discrete graphical models

M Vuffray, S Misra, AY Lokhov - Journal of Statistical Mechanics …, 2022 - iopscience.iop.org
… efficient reconstruction algorithm for sparse pairwise binary graphical models with a near-…
Generalized regularized interaction screening estimator We propose a generalization of the …

Bayesian inference in high-dimensional models

S Banerjee, I Castillo, S Ghosal - arXiv preprint arXiv:2101.04491, 2021 - arxiv.org
… of predictors, the model is often assumed to be sparse, with only … is succinctly described by
a graphical model, where variables … , generalized linear models, Gaussian and non-Gaussian …

Bayesian covariate-dependent Gaussian graphical models with varying structure

Y Ni, FC Stingo, V Baladandayuthapani - Journal of Machine Learning …, 2022 - jmlr.org
graphical models with covariates (GGMx), a class of multivariate Gaussian distributions with
covariate-dependent sparse … We consider the following generalization of the prior density in (…

Copula Gaussian graphical models for functional data

E Solea, B Li - Journal of the American Statistical Association, 2022 - Taylor & Francis
… a statistical graphical model for multivariate functional data, which are common in medical
applications such as EEG and fMRI. Recently published functional graphical modelssparse

Differential network analysis: A statistical perspective

A Shojaie - Wiley Interdisciplinary Reviews: Computational …, 2021 - Wiley Online Library
graphical model can be efficiently estimated and provides a natural generalization of the
graphical … focus primarily on networks inferred using graphical modeling methods. For instance, …

[图书][B] Statistical mechanics of neural networks

H Huang - 2021 - Springer
… was later generalized to the perceptron model, inventing … sparsely connected factor graph
model. Let us explain this in detail as follows. The model can be represented by a factor graph […

Handbook of Bayesian variable selection

MG Tadesse, M Vannucci - 2021 - books.google.com
… to derive sparse posterior summaries for global-local shrinkage priors. … graphical models.
Part IV is comprised of five chapters covering other approaches to Bayesian variable selection. …

Learning gaussian mixtures with generalized linear models: Precise asymptotics in high-dimensions

B Loureiro, G Sicuro, C Gerbelot… - Advances in …, 2021 - proceedings.neurips.cc
… We exemplify our result in two tasks of interest in statistical learning: a) classification for a
mixture with sparse means, where we study the efficiency of l1 penalty with respect to l2; b) max…

Learning sparse nonparametric dags

X Zheng, C Dan, B Aragam… - International …, 2020 - proceedings.mlr.press
… as a substantial generalization of these approaches: We … sparse directed acyclic graphical
models that subsumes many popular parametric, semiparametric, and nonparametric models