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This paper proposes an Adaptive Stochastic Model Predictive Control (MPC) strategy for stable linear time-invariant systems in the presence of bounded disturbances. We consider multi-input, multi-output systems that can be expressed by a…

Systems and Control · Electrical Eng. & Systems 2019-12-11 Monimoy Bujarbaruah , Charlott Vallon

The model of low-dimensional manifold and sparse representation are two well-known concise models that suggest each data can be described by a few characteristics. Manifold learning is usually investigated for dimension reduction by…

Computer Vision and Pattern Recognition · Computer Science 2016-03-22 Xi Peng , Lei Zhang , Zhang Yi , Kok Kiong Tan

Principal component analysis (PCA) is a widely used dimension reduction technique in machine learning and multivariate statistics. To improve the interpretability of PCA, various approaches to obtain sparse principal direction loadings have…

Data Structures and Algorithms · Computer Science 2021-06-07 Agniva Chowdhury , Petros Drineas , David P. Woodruff , Samson Zhou

Cooperative Greedy Pursuit Strategies are considered for approximating a signal partition subjected to a global constraint on sparsity. The approach aims at producing a high quality sparse approximation of the whole signal, using highly…

Data Structures and Algorithms · Computer Science 2015-12-15 Laura Rebollo-Neira

Computational reconstruction plays a vital role in computer vision and computational photography. Most of the conventional optimization and deep learning techniques explore local information for reconstruction. Recently, nonlocal low-rank…

Image and Video Processing · Electrical Eng. & Systems 2023-01-10 Daoyu Li , Hanwen Xu , Miao Cao , Xin Yuan , David J. Brady , Liheng Bian

Sparse principal component analysis (PCA) is an important technique for dimensionality reduction of high-dimensional data. However, most existing sparse PCA algorithms are based on non-convex optimization, which provide little guarantee on…

Methodology · Statistics 2019-11-20 Yixuan Qiu , Jing Lei , Kathryn Roeder

Sparse grids based on Lagrange polynomials have become one of the staple methods for approximating functions that are high-dimensional and expensive to evaluate, in the context e.g. of PDE-based parametric design exploration. They are…

Computational Engineering, Finance, and Science · Computer Science 2026-03-10 Matteo Rosellini , Filippo Fruzza , Alessandro Mariotti , Maria Vittoria Salvetti , Lorenzo Tamellini

Recent Mamba-based image restoration methods have achieved promising results but remain limited by fixed scanning patterns and inefficient feature utilization. Conventional Mamba architectures rely on predetermined paths that cannot adapt…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Han Hu , Zhuoran Zheng , Liang Li , Chen Lyu

We study here sparse recovery problems in the presence of additive noise. We analyze a thresholding version of the CoSaMP algorithm, named Thresholding Greedy Pursuit (TGP). We demonstrate that an appropriate choice of thresholding…

Signal Processing · Electrical Eng. & Systems 2021-03-23 Hai Le , Alexei Novikov

The goal of Sparse Convex Optimization is to optimize a convex function $f$ under a sparsity constraint $s\leq s^*\gamma$, where $s^*$ is the target number of non-zero entries in a feasible solution (sparsity) and $\gamma\geq 1$ is an…

Machine Learning · Computer Science 2020-06-26 Kyriakos Axiotis , Maxim Sviridenko

In this work, we focus on designing an efficient Local Computation Algorithm (LCA) for the set cover problem, which is a core optimization task. The state-of-the-art LCA for computing $O(\log \Delta)$-approximate set cover, developed by…

Data Structures and Algorithms · Computer Science 2026-03-26 Slobodan Mitrović , Srikkanth Ramachandran , Ronitt Rubinfeld , Mihir Singhal

We study the Gibbs posterior distribution for sparse deep neural nets in a nonparametric regression setting. The posterior can be accessed via Metropolis-adjusted Langevin algorithms. Using a mixture over uniform priors on sparse sets of…

Statistics Theory · Mathematics 2026-01-09 Maximilian F. Steffen , Mathias Trabs

Several methods have been recently proposed for estimating sparse Gaussian graphical models using $\ell_{1}$ regularization on the inverse covariance matrix. Despite recent advances, contemporary applications require methods that are even…

Computation · Statistics 2014-05-15 Onkar Dalal , Bala Rajaratnam

We show how one can phrase the cut improvement problem for graphs as a sparse recovery problem, whence one can use algorithms originally developed for use in compressive sensing (such as SubspacePursuit or CoSaMP) to solve it. We show that…

Information Theory · Computer Science 2020-02-26 Ming-Jun Lai , Daniel Mckenzie

We introduce a new algorithm, called adaptive sparse backfitting algorithm, for solving high dimensional Sparse Additive Model (SpAM) utilizing symmetric, non-negative definite smoothers. Unlike the previous sparse backfitting algorithm,…

Machine Learning · Statistics 2014-11-13 Yan Li

Iterative reconstruction technique's ability to reduce radiation exposure by using fewer projections has attracted significant attention. However, these methods typically require a precise tuning of several hyperparameters, which can have a…

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Ali Taimori , Farokh Marvasti

In recent years, large pre-trained Transformer-based language models have led to dramatic improvements in many natural language understanding tasks. To train these models with increasing sizes, many neural network practitioners attempt to…

Machine Learning · Computer Science 2022-02-01 Minjia Zhang , Niranjan Uma Naresh , Yuxiong He

Fine-tuning pre-trained large language models in a parameter-efficient manner is widely studied for its effectiveness and efficiency. The popular method of low-rank adaptation (LoRA) offers a notable approach, hypothesizing that the…

Computation and Language · Computer Science 2023-11-21 Ning Ding , Xingtai Lv , Qiaosen Wang , Yulin Chen , Bowen Zhou , Zhiyuan Liu , Maosong Sun

Microstrip-like antenna (MLA) which was developed nearly a decade ago, is a powerful radiating element. The primary challenge in designing a MLA is to provide an optimized matching network such that the overall input reflection is kept as…

Optimization and Control · Mathematics 2015-09-04 Jalil Rasekhi , Jalil Rashed Mohasel