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In "Dictionary Learning" one tries to recover incoherent matrices $A^* \in \mathbb{R}^{n \times h}$ (typically overcomplete and whose columns are assumed to be normalized) and sparse vectors $x^* \in \mathbb{R}^h$ with a small support of…

Sparse representation using over-complete dictionaries have shown to produce good quality results in various image processing tasks. Dictionary learning algorithms have made it possible to engineer data adaptive dictionaries which have…

图像与视频处理 · 电气工程与系统科学 2019-11-11 Nishant Deepak Keni , Amol Mangirish Singbal , Rizwan Ahmed

The high computational costs of video super-resolution (VSR) models hinder their deployment on resource-limited devices, (e.g., smartphones and drones). Existing VSR models contain considerable redundant filters, which drag down the…

计算机视觉与模式识别 · 计算机科学 2023-03-28 Bin Xia , Jingwen He , Yulun Zhang , Yitong Wang , Yapeng Tian , Wenming Yang , Luc Van Gool

To accelerate kernel methods, we propose a near input sparsity time algorithm for sampling the high-dimensional feature space implicitly defined by a kernel transformation. Our main contribution is an importance sampling method for…

数据结构与算法 · 计算机科学 2020-07-15 David P. Woodruff , Amir Zandieh

We use transductive regression techniques to learn mappings between source and target features of given parallel corpora and use these mappings to generate machine translation outputs. We show the effectiveness of $L_1$ regularized…

计算与语言 · 计算机科学 2024-07-01 Ergun Biçici

In sparse recovery, the unique sparsest solution to an under-determined system of linear equations is of main interest. This scheme is commonly proposed to be applied to signal acquisition. In most cases, the signals are not sparse…

信息论 · 计算机科学 2013-07-16 Henning Zörlein , Faisal Akram , Martin Bossert

In complex visual recognition tasks it is typical to adopt multiple descriptors, that describe different aspects of the images, for obtaining an improved recognition performance. Descriptors that have diverse forms can be fused into a…

计算机视觉与模式识别 · 计算机科学 2015-06-15 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Andreas Spanias

Neural networks are usually not the tool of choice for nonparametric high-dimensional problems where the number of input features is much larger than the number of observations. Though neural networks can approximate complex multivariate…

统计方法学 · 统计学 2019-06-25 Jean Feng , Noah Simon

We propose a novel, efficient approach for distributed sparse learning in high-dimensions, where observations are randomly partitioned across machines. Computationally, at each round our method only requires the master machine to solve a…

机器学习 · 统计学 2016-05-26 Jialei Wang , Mladen Kolar , Nathan Srebro , Tong Zhang

In this paper, we consider the mixture of sparse linear regressions model. Let ${\beta}^{(1)},\ldots,{\beta}^{(L)}\in\mathbb{C}^n$ be $ L $ unknown sparse parameter vectors with a total of $ K $ non-zero coefficients. Noisy linear…

信息论 · 计算机科学 2018-08-03 Dong Yin , Ramtin Pedarsani , Yudong Chen , Kannan Ramchandran

Sparse dictionary coding represents signals as linear combinations of a few dictionary atoms. It has been applied to images, time series, graph signals and multi-way spatio-temporal data by jointly employing temporal and spatial…

机器学习 · 计算机科学 2025-09-15 Boya Ma , Abram Magner , Maxwell McNeil , Petko Bogdanov

We demonstrate the possibility of what we call sparse learning: accelerated training of deep neural networks that maintain sparse weights throughout training while achieving dense performance levels. We accomplish this by developing sparse…

机器学习 · 计算机科学 2019-08-27 Tim Dettmers , Luke Zettlemoyer

Sparse coding, which refers to modeling a signal as sparse linear combinations of the elements of a learned dictionary, has proven to be a successful (and interpretable) approach in applications such as signal processing, computer vision,…

机器学习 · 计算机科学 2023-06-02 Muthu Chidambaram , Chenwei Wu , Yu Cheng , Rong Ge

Penalized logistic regression is extremely useful for binary classification with large number of covariates (higher than the sample size), having several real life applications, including genomic disease classification. However, the…

统计方法学 · 统计学 2023-04-10 Ayanendranath Basu , Abhik Ghosh , María Jaenada , Leandro Pardo

Underdetermined or ill-posed inverse problems require additional information for \ldd{d} sound solutions with tractable optimization algorithms. Sparsity yields consequent heuristics to that matter, with numerous applications in signal…

最优化与控制 · 数学 2020-11-04 Afef Cherni , Emilie Chouzenoux , Laurent Duval , Jean-Christophe Pesquet

Linear sketching and recovery of sparse vectors with randomly constructed sparse matrices has numerous applications in several areas, including compressive sensing, data stream computing, graph sketching, and combinatorial group testing.…

数值分析 · 数学 2014-02-07 Bubacarr Bah , Luca Baldassarre , Volkan Cevher

Sparsity priors are commonly used in denoising and image reconstruction. For analysis-type priors, a dictionary defines a representation of signals that is likely to be sparse. In most situations, this dictionary is not known, and is to be…

最优化与控制 · 数学 2021-12-16 Hashem Ghanem , Joseph Salmon , Nicolas Keriven , Samuel Vaiter

Deep neural networks have become very popular in modeling complex nonlinear processes due to their extraordinary ability to fit arbitrary nonlinear functions from data with minimal expert intervention. However, they are almost always…

This paper focuses on detection tasks in information extraction, where positive instances are sparsely distributed and models are usually evaluated using F-measure on positive classes. These characteristics often result in deficient…

计算与语言 · 计算机科学 2018-05-29 Hongyu Lin , Yaojie Lu , Xianpei Han , Le Sun

Although sparse neural networks have been studied extensively, the focus has been primarily on accuracy. In this work, we focus instead on network structure, and analyze three popular algorithms. We first measure performance when structure…

机器学习 · 计算机科学 2020-12-02 Maxwell Van Gelder , Mitchell Wortsman , Kiana Ehsani