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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

This paper proposes a fast and accurate method for sparse regression in the presence of missing data. The underlying statistical model encapsulates the low-dimensional structure of the incomplete data matrix and the sparsity of the…

机器学习 · 统计学 2015-03-31 Ravi Ganti , Rebecca M. Willett

We study sparse group Lasso for high-dimensional double sparse linear regression, where the parameter of interest is simultaneously element-wise and group-wise sparse. This problem is an important instance of the simultaneously structured…

统计理论 · 数学 2022-05-10 T. Tony Cai , Anru R. Zhang , Yuchen Zhou

Many data-driven approaches exist to extract neural representations of functional magnetic resonance imaging (fMRI) data, but most of them lack a proper probabilistic formulation. We propose a group level scalable probabilistic sparse…

This paper introduces a new method for learning and inferring sparse representations of depth (disparity) maps. The proposed algorithm relaxes the usual assumption of the stationary noise model in sparse coding. This enables learning from…

计算机视觉与模式识别 · 计算机科学 2015-05-20 Ivana Tosic , Bruno A. Olshausen , Benjamin J. Culpepper

This paper proposes a method for estimating a surface that contains a given set of points from noisy measurements. More precisely, by assuming that the surface is described by the zero set of a function in the span of a given set of…

系统与控制 · 电气工程与系统科学 2026-04-07 Omar M. Sleem , Sahand Kiani , Constantino M. Lagoa

There are proposals that extend the classical generalized additive models (GAMs) to accommodate high-dimensional data ($p>>n$) using group sparse regularization. However, the sparse regularization may induce excess shrinkage when estimating…

统计方法学 · 统计学 2022-07-07 Boyi Guo , Byron C. Jaeger , A. K. M. Fazlur Rahman , D. Leann Long , Nengjun Yi

Machine learning and statistics typically focus on building models that capture the vast majority of the data, possibly ignoring a small subset of data as "noise" or "outliers." By contrast, here we consider the problem of jointly…

机器学习 · 计算机科学 2016-08-19 Brendan Juba

Learning governing equations allows for deeper understanding of the structure and dynamics of data. We present a random sampling method for learning structured dynamical systems from under-sampled and possibly noisy state-space…

信息论 · 计算机科学 2018-05-14 Hayden Schaeffer , Giang Tran , Rachel Ward , Linan Zhang

High dimensional sparse learning has imposed a great computational challenge to large scale data analysis. In this paper, we are interested in a broad class of sparse learning approaches formulated as linear programs parametrized by a {\em…

机器学习 · 计算机科学 2017-11-28 Haotian Pang , Robert Vanderbei , Han Liu , Tuo Zhao

We present a new computational approach to approximating a large, noisy data table by a low-rank matrix with sparse singular vectors. The approximation is obtained from thresholded subspace iterations that produce the singular vectors…

统计方法学 · 统计学 2011-12-13 Dan Yang , Zongming Ma , Andreas Buja

In this paper we initiate the study of whether or not sparse estimation tasks can be performed efficiently in high dimensions, in the robust setting where an $\eps$-fraction of samples are corrupted adversarially. We study the natural…

机器学习 · 计算机科学 2017-03-02 Jerry Li

Sparse linear regression is one of the most basic questions in machine learning and statistics. Here, we are given as input a design matrix $X \in \mathbb{R}^{N \times d}$ and measurements or labels ${y} \in \mathbb{R}^N$ where ${y} = {X}…

机器学习 · 计算机科学 2025-11-11 Gautam Chandrasekaran , Raghu Meka , Konstantinos Stavropoulos

In neural Information Retrieval (IR), ongoing research is directed towards improving the first retriever in ranking pipelines. Learning dense embeddings to conduct retrieval using efficient approximate nearest neighbors methods has proven…

信息检索 · 计算机科学 2021-09-22 Thibault Formal , Carlos Lassance , Benjamin Piwowarski , Stéphane Clinchant

The large communication and computation overhead of federated learning (FL) is one of the main challenges facing its practical deployment over resource-constrained clients and systems. In this work, SpaFL: a communication-efficient FL…

机器学习 · 计算机科学 2024-12-11 Minsu Kim , Walid Saad , Merouane Debbah , Choong Seon Hong

Multi-task learning models using Gaussian processes (GP) have been developed and successfully applied in various applications. The main difficulty with this approach is the computational cost of inference using the union of examples from…

机器学习 · 计算机科学 2012-11-29 Yuyang Wang , Roni Khardon

In the first part of the series papers, we set out to answer the following question: given specific restrictions on a set of samplers, what kind of signal can be uniquely represented by the corresponding samples attained, as the foundation…

信息论 · 计算机科学 2021-08-25 Hanshen Xiao , Yaowen Zhang , Guoqiang Xiao

We present an approach for dictionary learning of action attributes via information maximization. We unify the class distribution and appearance information into an objective function for learning a sparse dictionary of action attributes.…

计算机视觉与模式识别 · 计算机科学 2013-08-02 Qiang Qiu , Zhuolin Jiang , Rama Chellappa

Parametric 3D models have formed a fundamental role in modeling deformable objects, such as human bodies, faces, and hands; however, the construction of such parametric models requires significant manual intervention and domain expertise.…

计算机视觉与模式识别 · 计算机科学 2022-01-21 Pablo Palafox , Nikolaos Sarafianos , Tony Tung , Angela Dai

We analyze a practical algorithm for sparse PCA on incomplete and noisy data under a general non-random sampling scheme. The algorithm is based on a semidefinite relaxation of the $\ell_1$-regularized PCA problem. We provide theoretical…

机器学习 · 统计学 2023-02-06 Hanbyul Lee , Qifan Song , Jean Honorio