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Linear discriminant analysis (LDA) is a classical method for dimensionality reduction, where discriminant vectors are sought to project data to a lower dimensional space for optimal separability of classes. Several recent papers have…

统计计算 · 统计学 2022-03-04 Summer Atkins , Gudmundur Einarsson , Brendan Ames , Line Clemmensen

Sparsity driven signal processing has gained tremendous popularity in the last decade. At its core, the assumption is that the signal of interest is sparse with respect to either a fixed transformation or a signal dependent dictionary. To…

计算机视觉与模式识别 · 计算机科学 2014-06-10 Yuanming Suo , Minh Dao , Umamahesh Srinivas , Vishal Monga , Trac D. Tran

We present a comprehensive framework for structured sparse coding and modeling extending the recent ideas of using learnable fast regressors to approximate exact sparse codes. For this purpose, we develop a novel block-coordinate proximal…

机器学习 · 计算机科学 2012-06-22 Alex Bronstein , Pablo Sprechmann , Guillermo Sapiro

Despite the importance of sparsity in many large-scale applications, there are few methods for distributed optimization of sparsity-inducing objectives. In this paper, we present a communication-efficient framework for L1-regularized…

机器学习 · 计算机科学 2016-06-06 Virginia Smith , Simone Forte , Michael I. Jordan , Martin Jaggi

Dynamic Sparse Training (DST) methods train neural networks by maintaining sparsity while dynamically adapting the network topology. Despite the promise of reduced computation, DST methods converge significantly slower than dense training,…

机器学习 · 计算机科学 2026-05-28 Mohammed Adnan , Rohan Jain , Tom Jacobs , Ekansh Sharma , Rahul G. Krishnan , Rebekka Burkholz , Yani Ioannou

Many classification approaches first represent a test sample using the training samples of all the classes. This collaborative representation is then used to label the test sample. It was a common belief that sparseness of the…

计算机视觉与模式识别 · 计算机科学 2015-12-01 Naveed Akhtar , Faisal Shafait , Ajmal Mian

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

计算机视觉与模式识别 · 计算机科学 2013-02-06 Ehsan Elhamifar , Rene Vidal

In this paper, we develop a parameterized proximal point algorithm (P-PPA) for solving a class of separable convex programming problems subject to linear and convex constraints. The proposed algorithm is provable to be globally convergent…

最优化与控制 · 数学 2018-12-11 Jianchao Bai , Hongchao Zhang , Jicheng Li

Sample- and computationally-efficient distribution estimation is a fundamental tenet in statistics and machine learning. We present SURF, an algorithm for approximating distributions by piecewise polynomials. SURF is: simple, replacing…

机器学习 · 统计学 2021-02-15 Yi Hao , Ayush Jain , Alon Orlitsky , Vaishakh Ravindrakumar

To better select the correct training sample and obtain the robust representation of the query sample, this paper proposes a discriminant-based sparse optimization learning model. This learning model integrates discriminant and sparsity…

计算机视觉与模式识别 · 计算机科学 2017-12-06 Qingxiang Feng , Yicong Zhou

Scientific discovery increasingly requires learning on federated datasets, fed by streams from high-resolution instruments, that have extreme class imbalance. Current ML approaches either require impractical data aggregation or fail due to…

机器学习 · 计算机科学 2026-03-16 Md Anwar Hossen , Nathan R. Tallent , Luanzheng Guo , Ali Jannesary

We consider distributed optimization where the objective function is spread among different devices, each sending incremental model updates to a central server. To alleviate the communication bottleneck, recent work proposed various schemes…

最优化与控制 · 数学 2019-04-11 Samuel Horváth , Dmitry Kovalev , Konstantin Mishchenko , Sebastian Stich , Peter Richtárik

In-network distributed estimation of sparse parameter vectors via diffusion LMS strategies has been studied and investigated in recent years. In all the existing works, some convex regularization approach has been used at each node of the…

机器学习 · 计算机科学 2016-11-15 Bijit Kumar Das , Mrityunjoy Chakraborty , Jerónimo Arenas-García

This work studies the problem of sparse signal recovery with automatic grouping of variables. To this end, we investigate sorted nonsmooth penalties as a regularization approach for generalized linear models. We focus on a family of sorted…

最优化与控制 · 数学 2025-06-19 Anne Gagneux , Mathurin Massias , Emmanuel Soubies

The sparse, hierarchical, and modular processing of natural signals is related to the ability of humans to recognize objects with high accuracy. In this study, we report a sparse feature processing and encoding method, which improved the…

计算机视觉与模式识别 · 计算机科学 2014-11-20 Swathikiran Sudhakarana , Alex Pappachen James

Low-rank sparse subspace clustering (LRSSC) algorithms built on self-expressive model effectively capture both the global and local structure of the data. However, existing solutions, primarily based on proximal operators associated with…

机器学习 · 计算机科学 2025-02-17 Ivica Kopriva

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…

数据结构与算法 · 计算机科学 2015-12-15 Laura Rebollo-Neira

Sparseness is a useful regularizer for learning in a wide range of applications, in particular in neural networks. This paper proposes a model targeted at classification tasks, where sparse activity and sparse connectivity are used to…

机器学习 · 计算机科学 2016-04-19 Markus Thom , Günther Palm

Sparse subspace clustering methods, such as Sparse Subspace Clustering (SSC) \cite{ElhamifarV13} and $\ell^{1}$-graph \cite{YanW09,ChengYYFH10}, are effective in partitioning the data that lie in a union of subspaces. Most of those methods…

机器学习 · 计算机科学 2015-11-19 Yingzhen Yang , Jiashi Feng , Jianchao Yang , Thomas S. Huang

Sparse Subspace Clustering (SSC) is a state-of-the-art method for clustering high-dimensional data points lying in a union of low-dimensional subspaces. However, while $\ell_1$ optimization-based SSC algorithms suffer from high…

机器学习 · 计算机科学 2018-02-14 Yanxi Chen , Gen Li , Yuantao Gu