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In this work, we consider convex optimization problems with smooth objective function and nonsmooth functional constraints. We propose a new stochastic gradient algorithm, called Stochastic Halfspace Approximation Method (SHAM), to solve…

Optimization and Control · Mathematics 2024-12-04 Nitesh Kumar Singh , Ion Necoara

In many application of noise cancellation, the changes in signal characteristics could be quite fast. This requires the utilization of adaptive algorithms, which converge rapidly. Least Mean Squares (LMS) adaptive filters have been used in…

Sound · Computer Science 2011-06-07 Sayed A. Hadei , N. Sonbolestan

In this paper, we propose two novel p-norm penalty least mean square (Lp-LMS) algorithms as supplements of the conventional Lp-LMS algorithm established for sparse adaptive filtering recently. A gradient comparator is employed to…

Systems and Control · Computer Science 2015-03-11 Yong Feng , Jiasong Wu , Rui Zeng , Limin Luo , Huazhong Shu

A block sparse memory improved proportionate affine projection sign algorithm (BS-MIP-APSA) is proposed for block sparse system identification under impulsive noise. The new BS-MIP-APSA not only inherits the performance improvement for…

Systems and Control · Computer Science 2015-10-20 Jianming Liu , Steven L. Grant

To estimate multiple-input multiple-output (MIMO) channels, invariable step-size normalized least mean square (ISSNLMS) algorithm was applied to adaptive channel estimation (ACE). Since the MIMO channel is often described by sparse channel…

Information Theory · Computer Science 2013-11-07 Guan Gui , Shinya kumagai , Fumiyuki Adachi

Sparse inverse covariance selection is a fundamental problem for analyzing dependencies in high dimensional data. However, such a problem is difficult to solve since it is NP-hard. Existing solutions are primarily based on convex…

Numerical Analysis · Computer Science 2018-04-05 Ganzhao Yuan , Haoxian Tan , Wei-Shi Zheng

This paper considers the noisy sparse phase retrieval problem: recovering a sparse signal $x \in \mathbb{R}^p$ from noisy quadratic measurements $y_j = (a_j' x )^2 + \epsilon_j$, $j=1, \ldots, m$, with independent sub-exponential noise…

Statistics Theory · Mathematics 2015-06-11 T. Tony Cai , Xiaodong Li , Zongming Ma

The performance of Orthogonal Matching Pursuit (OMP) for variable selection is analyzed for random designs. When contrasted with the deterministic case, since the performance is here measured after averaging over the distribution of the…

Machine Learning · Statistics 2011-09-06 Antony Joseph

This paper considers the design of tunable decision schemes capable of rejecting with high probability mismatched signals embedded in Gaussian interference with unknown covariance matrix. To this end, a sparse recovery technique is…

Signal Processing · Electrical Eng. & Systems 2020-04-29 Sudan Han , Luca Pallotta , Xiaotao Huang , Gaetano Giunta , Danilo Orlando

Our work presents a new iterative scheme to approximate the fixed points of nonexpansive mapping. The proposed algorithm is constructed to enhance convergence efficiency while preserving theoretical robustness. Under appropriate assumptions…

Functional Analysis · Mathematics 2026-01-12 Nida Izhar Mallick , Izhar Uddin

In the field of unsupervised feature selection, sparse principal component analysis (SPCA) methods have attracted more and more attention recently. Compared to spectral-based methods, SPCA methods don't rely on the construction of a…

Computer Vision and Pattern Recognition · Computer Science 2023-09-13 Junjing Zheng , Xinyu Zhang , Yongxiang Liu , Weidong Jiang , Kai Huo , Li Liu

In high-dimensions, many variable selection methods, such as the lasso, are often limited by excessive variability and rank deficiency of the sample covariance matrix. Covariance sparsity is a natural phenomenon in high-dimensional…

Methodology · Statistics 2010-06-08 X. Jessie Jeng And Z. John Daye

We present a computationally-efficient method for recovering sparse signals from a series of noisy observations, known as the problem of compressed sensing (CS). CS theory requires solving a convex constrained minimization problem. We…

Information Theory · Computer Science 2010-06-22 Avishy Carmi , Pini Gurfil

This paper addresses weakly supervised object detection with only image-level supervision at training stage. Previous approaches train detection models with entire images all at once, making the models prone to being trapped in sub-optimums…

Computer Vision and Pattern Recognition · Computer Science 2018-04-26 Xiaopeng Zhang , Jiashi Feng , Hongkai Xiong , Qi Tian

Many applications using large datasets require efficient methods for minimizing a proximable convex function subject to satisfying a set of linear constraints within a specified tolerance. For this task, we present a proximal projection…

Optimization and Control · Mathematics 2024-12-10 Howard Heaton

Monte Carlo (MC) methods have become very popular in signal processing during the past decades. The adaptive rejection sampling (ARS) algorithms are well-known MC technique which draw efficiently independent samples from univariate target…

Computation · Statistics 2017-10-16 Luca Martino

Recognizing places from an opposing viewpoint during a return trip is a common experience for human drivers. However, the analogous robotics capability, visual place recognition (VPR) with limited field of view cameras under 180 degree…

Robotics · Computer Science 2026-03-24 Spencer Carmichael , Rahul Agrawal , Ram Vasudevan , Katherine A. Skinner

Space-time adaptive processing (STAP) is an effective tool for detecting a moving target in spaceborne or airborne radar systems. Statistical-based STAP methods generally need sufficient statistically independent and identically distributed…

Information Theory · Computer Science 2010-08-26 Ke Sun , Hao Zhang , Gang Li , Huadong Meng , Xiqin Wang

The Kaczmarz algorithm is popular for iteratively solving an overdetermined system of linear equations. The traditional Kaczmarz algorithm can approximate the solution in few sweeps through the equations but a randomized version of the…

Numerical Analysis · Computer Science 2014-02-04 Hemant Kumar Aggarwal , Angshul Majumdar

In modern video coding standards, block-based inter prediction is widely adopted, which brings high compression efficiency. However, in natural videos, there are usually multiple moving objects of arbitrary shapes, resulting in complex…

Image and Video Processing · Electrical Eng. & Systems 2024-09-13 Zhuoyuan Li , Zikun Yuan , Li Li , Dong Liu , Xiaohu Tang , Feng Wu