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We formulate the sparse classification problem of $n$ samples with $p$ features as a binary convex optimization problem and propose a cutting-plane algorithm to solve it exactly. For sparse logistic regression and sparse SVM, our algorithm…

最优化与控制 · 数学 2025-01-08 Dimitris Bertsimas , Jean Pauphilet , Bart Van Parys

Channel estimation problem is one of the key technical issues in time-variant multiple-input single-output (MSIO) communication systems. To estimate the MISO channel, least mean square (LMS) algorithm is applied to adaptive channel…

信息论 · 计算机科学 2013-02-07 Guan Gui , Wei Peng , Abolfazl Mehbodniya , Fumiyuki Adachi

This paper proposes a sparse regression method that continuously interpolates between Forward Stepwise selection (FS) and the LASSO. When tuned appropriately, our solutions are much sparser than typical LASSO fits but, unlike FS fits,…

统计方法学 · 统计学 2024-11-20 Ivy Zhang , Robert Tibshirani

While the filtered-x normalized least mean square (FxNLMS) algorithm is widely applied due to its simple structure and easy implementation for active noise control system, it faces two critical limitations: the fixed step-size causes a…

信息论 · 计算机科学 2026-01-26 Zhiyuan Li , Yi Yu , Hongsen He , Yuyu Zhu , Rodrigo C. de Lamare

In this paper, we discuss application of iterative Stochastic Optimization routines to the problem of sparse signal recovery from noisy observation. Using Stochastic Mirror Descent algorithm as a building block, we develop a multistage…

机器学习 · 统计学 2022-03-31 Anatoli Juditsky , Andrei Kulunchakov , Hlib Tsyntseus

There is a need to improve the capability of the adaptive filtering algorithm against Gaussian or multiple types of non-Gaussian noises, time-varying system, and systems with low SNR. In this paper, we propose an optimized least mean…

信号处理 · 电气工程与系统科学 2019-08-23 Sihai Guan , Chun Meng , Bharat Biswal

In next-generation wireless communications systems, accurate sparse channel estimation (SCE) is required for coherent detection. This paper studies SCE in terms of adaptive filtering theory, which is often termed as adaptive channel…

信息论 · 计算机科学 2015-02-02 Chen Ye , Guan Gui , Li Xu , Nobuhiro Shimoi

We propose a new algorithm for recovery of sparse signals from their compressively sensed samples. The proposed algorithm benefits from the strategy of gradual movement to estimate the positions of non-zero samples of sparse signal. We…

信息论 · 计算机科学 2012-04-04 Seyed Hossein Hosseini , Mahrokh G. Shayesteh

In this work, we propose an optimization framework for estimating a sparse robust one-dimensional subspace. Our objective is to minimize both the representation error and the penalty, in terms of the l1-norm criterion. Given that the…

机器学习 · 统计学 2024-03-07 Xiao Ling , Paul Brooks

In oversampled adaptive sensing (OAS), noisy measurements are collected in multiple subframes. The sensing basis in each subframe is adapted according to some posterior information exploited from previous measurements. The framework is…

信息论 · 计算机科学 2019-12-11 Ali Bereyhi , Ralf R. Müller

Sparse linear regression is a central problem in high-dimensional statistics. We study the correlated random design setting, where the covariates are drawn from a multivariate Gaussian $N(0,\Sigma)$, and we seek an estimator with small…

数据结构与算法 · 计算机科学 2023-05-29 Jonathan Kelner , Frederic Koehler , Raghu Meka , Dhruv Rohatgi

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing in many applications such as Radar imaging. Unlike the NSS, in this paper, we propose an adaptive sparse sensing (ASS) approach using reweighted…

信息论 · 计算机科学 2015-06-18 Guan Gui , Li Xu , Fumiyuki Adachi

A new Lp-norm constraint least mean square (Lp-LMS) algorithm with new strategy of varying p is presented, which is applied to system identification in this letter. The parameter p is iteratively adjusted by the gradient method applied to…

系统与控制 · 计算机科学 2016-03-31 Yong Feng , Fei Chen , Jiasong Wu

Based on the assumption of Gaussian noise model, conventional adaptive filtering algorithms for reconstruction sparse channels were proposed to take advantage of channel sparsity due to the fact that broadband wireless channels usually have…

信息论 · 计算机科学 2015-03-05 Guan Gui , Li Xu , Nobuhiro Shimoi

Oversampled adaptive sensing (OAS) is a recently proposed Bayesian framework which sequentially adapts the sensing basis. In OAS, estimation quality is, in each step, measured by conditional mean squared errors (MSEs), and the basis for the…

信息论 · 计算机科学 2018-11-16 Ralf R. Müller , Ali Bereyhi , Christoph F. Mecklenbräuker

In recent years, the multitask diffusion least mean square (MD-LMS) algorithm has been extensively applied in the distributed parameter estimation and target tracking of multitask network. However, its performance is mainly limited by two…

信号处理 · 电气工程与系统科学 2022-10-21 Wenjing Xu , Haiquan Zhao , Shaohui Lv

Scaled sparse linear regression jointly estimates the regression coefficients and noise level in a linear model. It chooses an equilibrium with a sparse regression method by iteratively estimating the noise level via the mean residual…

机器学习 · 统计学 2012-06-22 Tingni Sun , Cun-Hui Zhang

This paper presents a novel projection-based adaptive algorithm for sparse signal and system identification. The sequentially observed data are used to generate an equivalent sequence of closed convex sets, namely hyperslabs. Each hyperslab…

信息论 · 计算机科学 2015-10-28 Yannis Kopsinis , Konstantinos Slavakis , Sergios Theodoridis

Deepening and widening convolutional neural networks (CNNs) significantly increases the number of trainable weight parameters by adding more convolutional layers and feature maps per layer, respectively. By imposing inter- and intra-group…

计算机视觉与模式识别 · 计算机科学 2019-12-18 Kevin Bui , Fredrick Park , Shuai Zhang , Yingyong Qi , Jack Xin

Least mean square (LMS) type adaptive algorithms have attracted much attention due to their low computational complexity. In the scenarios of sparse channel estimation, zero-attracting LMS (ZA-LMS), reweighted ZA-LMS (RZA-LMS) and…

系统与控制 · 计算机科学 2015-04-14 Beiyi Liu , Guan Gui , Li Xu