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The problem of low-tubal-rank tensor estimation is a fundamental task with wide applications across high-dimensional signal processing, machine learning, and image science. Traditional approaches tackle such a problem by performing tensor…

Machine Learning · Computer Science 2025-12-24 Zhiyu Liu , Zhi Han , Yandong Tang , Jun Fan , Yao Wang

In this work, we consider the use of model-driven deep learning techniques for massive multiple-input multiple-output (MIMO) detection. Compared with conventional MIMO systems, massive MIMO promises improved spectral efficiency, coverage…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Yi Wei , Ming-Min Zhao , Mingyi Hong , Min-jian Zhao , Ming Lei

Generalized linear mixed models (GLMMs) are a widely used tool in statistical analysis. The main bottleneck of many computational approaches lies in the inversion of the high dimensional precision matrices associated with the random…

Computation · Statistics 2025-10-08 Andrea Pandolfi , Omiros Papaspiliopoulos , Giacomo Zanella

An algorithm for the numerical inversion of large matrices, the biconjugate gradient algorithm (BGA), is investigated in view of its use for Monte Carlo simulations of fermionic field theories. It is compared with the usual conjugate…

High Energy Physics - Lattice · Physics 2007-05-23 Markus Plagge

One of the great triumphs in the history of numerical methods was the discovery of the Conjugate Gradient (CG) algorithm. It could solve a symmetric positive-definite system of linear equations of dimension N in exactly N steps. As many…

Data Structures and Algorithms · Computer Science 2016-09-01 Muhammad Ali Raza Anjum

Learning from noisy data is a challenging task that significantly degenerates the model performance. In this paper, we present TCL, a novel twin contrastive learning model to learn robust representations and handle noisy labels for…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Zhizhong Huang , Junping Zhang , Hongming Shan

In this work, we present direction-of-arrival (DoA) estimation algorithms based on the Krylov subspace that effectively exploit prior knowledge of the signals that impinge on a sensor array. The proposed multi-step knowledge-aided iterative…

Signal Processing · Electrical Eng. & Systems 2018-12-19 S. Pinto , R. C. de Lamare

In this work, we introduce a lightweight discourse connective detection system. Employing gradient boosting trained on straightforward, low-complexity features, this proposed approach sidesteps the computational demands of the current…

Computation and Language · Computer Science 2024-04-23 Mustafa Erolcan Er , Murathan Kurfalı , Deniz Zeyrek

This study introduces an advanced transient stability assessment (TSA) method for power systems, addressing the challenges of sample class imbalance and data noise through a novel CatBoost algorithm framework. By implementing a Gradient…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Zheheng Wang

In practical conjugate gradient (CG) computations it is important to monitor the quality of the approximate solution to $Ax=b$ so that the CG algorithm can be stopped when the required accuracy is reached. The relevant convergence…

Numerical Analysis · Mathematics 2018-10-05 Gérard Meurant , Petr Tichý

Conjugate gradient is an efficient algorithm for solving large sparse linear systems. It has been utilized to accelerate the computation in Bayesian analysis for many large-scale problems. This article discusses the applications of…

Methodology · Statistics 2023-08-30 Lu Zhang

We present doubly stochastic gradient MCMC, a simple and generic method for (approximate) Bayesian inference of deep generative models (DGMs) in a collapsed continuous parameter space. At each MCMC sampling step, the algorithm randomly…

Machine Learning · Computer Science 2016-03-08 Chao Du , Jun Zhu , Bo Zhang

Recursive Bayesian filters have been widely deployed in structural system identification where output-only filters are of higher practicality. Unfortunately, the estimation obtained by instantaneous system inversion via filters can be…

Applications · Statistics 2024-07-30 Zihao Liu , Mohsen Ebrahimzadeh Hassanabadi , Daniel Dias-da-Costa

This paper proposes a generalization of the conjugate gradient (CG) method used to solve the equation $Ax=b$ for a symmetric positive definite matrix $A$ of large size $n$. The generalization consists of permitting the scalar control…

Numerical Analysis · Mathematics 2016-11-17 Amit Bhaya , Pierre-Alexandre Bliman , Guilherme Niedu , Fernando Pazos

This paper presents a novel neural network training approach for faster convergence and better generalization abilities in deep reinforcement learning. Particularly, we focus on the enhancement of training and evaluation performance in…

Machine Learning · Computer Science 2020-05-26 Mohammed Sharafath Abdul Hameed , Gavneet Singh Chadha , Andreas Schwung , Steven X. Ding

We study the estimation of the latent variable Gaussian graphical model (LVGGM), where the precision matrix is the superposition of a sparse matrix and a low-rank matrix. In order to speed up the estimation of the sparse plus low-rank…

Machine Learning · Statistics 2017-03-01 Pan Xu , Jian Ma , Quanquan Gu

The paper presents a deep learning-aided iterative detection algorithm for massive overloaded MIMO systems. Since the proposed algorithm is based on the projected gradient descent method with trainable parameters, it is named as trainable…

Information Theory · Computer Science 2018-12-27 Satoshi Takabe , Masayuki Imanishi , Tadashi Wadayama , Kazunori Hayashi

This paper proposes a conjugate-gradient-based Adam algorithm blending Adam with nonlinear conjugate gradient methods and shows its convergence analysis. Numerical experiments on text classification and image classification show that the…

Optimization and Control · Mathematics 2020-03-04 Yu Kobayashi , Hideaki Iiduka

This paper deals with improvements to the contrast source inversion method which is widely used in microwave tomography. First, the method is reviewed and weaknesses of both the criterion form and the optimization strategy are underlined.…

Numerical Analysis · Mathematics 2009-01-30 Paul-André Barrière , Jérôme Idier , Yves Goussard , Jean-Jacques Laurin

The locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm is a popular approach for computing a few smallest eigenvalues and the corresponding eigenvectors of a large Hermitian positive definite matrix A. In this work,…

Numerical Analysis · Mathematics 2024-05-06 Daniel Kressner , Yuxin Ma , Meiyue Shao