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We consider a novel Bayesian approach to estimation, uncertainty quantification, and variable selection for a high-dimensional linear regression model under sparsity. The number of predictors can be nearly exponentially large relative to…

Methodology · Statistics 2025-02-28 Samhita Pal , Subhashis Ghoshal

Sparse approximation is important in many applications because of concise form of an approximant and good accuracy guarantees. The theory of compressed sensing, which proved to be very useful in the image processing and data sciences, is…

Numerical Analysis · Mathematics 2025-02-20 V. Temlyakov

The knowledge of channel statistics can be very helpful in making sound opportunistic spectrum access decisions. It is therefore desirable to be able to efficiently and accurately estimate channel statistics. In this paper we study the…

Information Theory · Computer Science 2015-03-17 Quanquan Liang , Mingyan Liu

Sparse attention methods exploit the inherent sparsity in attention to speed up the prefilling phase of long-context inference, mitigating the quadratic complexity of full attention computation. While existing sparse attention methods rely…

Machine Learning · Computer Science 2025-05-27 Dan Peng , Zhihui Fu , Zewen Ye , Zhuoran Song , Jun Wang

Outstanding achievements of graph neural networks for spatiotemporal time series analysis show that relational constraints introduce an effective inductive bias into neural forecasting architectures. Often, however, the relational…

Machine Learning · Computer Science 2023-08-03 Andrea Cini , Daniele Zambon , Cesare Alippi

A standard design pattern found in many concurrent data structures, such as hash tables or ordered containers, is alternation of parallelizable sections that incur no data conflicts and critical sections that must run sequentially and are…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Vitaly Aksenov , Daniil Bolotov , Petr Kuznetsov

Efficient time series forecasting has become critical for real-world applications, particularly with deep neural networks (DNNs). Efficiency in DNNs can be achieved through sparse connectivity and reducing the model size. However, finding…

Machine Learning · Computer Science 2024-06-13 Zahra Atashgahi , Mykola Pechenizkiy , Raymond Veldhuis , Decebal Constantin Mocanu

Informative gradients are often lost in large batch updates. We propose a robust mechanism to reinforce the sparse components within a random batch of data points. A finite queue of online gradients is used to determine their expected…

Machine Learning · Computer Science 2024-04-29 Irfan Mohammad Al Hasib

Sparse PCA provides a linear combination of small number of features that maximizes variance across data. Although Sparse PCA has apparent advantages compared to PCA, such as better interpretability, it is generally thought to be…

Machine Learning · Statistics 2012-10-29 Youwei Zhang , Laurent El Ghaoui

Provenance embedding algorithms are well known for tracking the footprints of information flow in wireless networks. Recently, low-latency provenance embedding algorithms have received traction in vehicular networks owing to strict…

Information Theory · Computer Science 2022-04-04 Suraj Sajeev , Manish Bansal , Sriraam S , J. Harshan , Huzur Saran , Yih-Chun Hu

Sparse principal component analysis (sparse PCA) is a widely used technique for dimensionality reduction in multivariate analysis, addressing two key limitations of standard PCA. First, sparse PCA can be implemented in high-dimensional low…

Methodology · Statistics 2025-10-07 Jan O. Bauer

The aim of link prediction is to forecast connections that are most likely to occur in the future, based on examples of previously observed links. A key insight is that it is useful to explicitly model network dynamics, how frequently links…

Social and Information Networks · Computer Science 2016-04-13 Alireza Hajibagheri , Gita Sukthankar , Kiran Lakkaraju

Linear prediction (LP) is an ubiquitous analysis method in speech processing. Various studies have focused on sparse LP algorithms by introducing sparsity constraints into the LP framework. Sparse LP has been shown to be effective in…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-09 Thomas Drugman

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is performed by solving an L1-regularized linear regression problem, commonly referred to as Lasso or Basis Pursuit. In this…

Machine Learning · Statistics 2015-05-19 Pablo Sprechmann , Ignacio Ramírez , Guillermo Sapiro , Yonina Eldar

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

Block sparsity is an important parameter in many algorithms to successfully recover block sparse signals under the framework of compressive sensing. However, it is often unknown and needs to be estimated. Recently there emerges a few…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Jianfeng Wang , Zhiyong Zhou , Jun Yu

We consider the sparse principal component analysis for high-dimensional stationary processes. The standard principal component analysis performs poorly when the dimension of the process is large. We establish the oracle inequalities for…

Statistics Theory · Mathematics 2021-09-17 Kou Fujimori , Yuichi Goto , Yan Liu , Masanobu Taniguchi

We propose a novel way of reducing the number of parameters in the storage-hungry fully connected layers of a neural network by using pre-defined sparsity, where the majority of connections are absent prior to starting training. Our results…

Machine Learning · Computer Science 2019-04-29 Sourya Dey , Kuan-Wen Huang , Peter A. Beerel , Keith M. Chugg

Advances in leveraging Gaussian processes (GP) have enabled learning and inferring dynamic grid behavior from scarce PMU measurements. However, real measurements can be corrupted by various random and targeted threats, leading to inaccurate…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Tina Gao , Shimiao Li , Lawrence Pileggi

In distributed optimization for large-scale learning, a major performance limitation comes from the communications between the different entities. When computations are performed by workers on local data while a coordinator machine…

Optimization and Control · Mathematics 2020-06-26 Dmitry Grishchenko , Franck Iutzeler , Jérôme Malick , Massih-Reza Amini
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