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Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an l_1-regularized linear regression problem, usually called Lasso. In this work we first combine the…

信息论 · 计算机科学 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

Learning suitable Whole slide images (WSIs) representations for efficient retrieval systems is a non-trivial task. The WSI embeddings obtained from current methods are in Euclidean space not ideal for efficient WSI retrieval. Furthermore,…

计算机视觉与模式识别 · 计算机科学 2022-09-26 Sobhan Hemati , Shivam Kalra , Morteza Babaie , H. R. Tizhoosh

Neural network models are widely used in solving many challenging problems, such as computer vision, personalized recommendation, and natural language processing. Those models are very computationally intensive and reach the hardware limit…

机器学习 · 计算机科学 2020-04-28 Fei Sun , Minghai Qin , Tianyun Zhang , Liu Liu , Yen-Kuang Chen , Yuan Xie

We introduce a statistical method that can reconstruct nonlinear genetic models (i.e., including epistasis, or gene-gene interactions) from phenotype-genotype (GWAS) data. The computational and data resource requirements are similar to…

基因组学 · 定量生物学 2015-09-29 Chiu Man Ho , Stephen D. H. Hsu

We present a new deterministic algorithm for the sparse Fourier transform problem, in which we seek to identify k << N significant Fourier coefficients from a signal of bandwidth N. Previous deterministic algorithms exhibit quadratic…

数值分析 · 数学 2012-07-27 David Lawlor , Yang Wang , Andrew Christlieb

This paper revisits building machine learning algorithms that involve interactions between entities, such as those between financial assets in an actively managed portfolio, or interactions between users in a social network. Our goal is to…

机器学习 · 计算机科学 2022-12-05 Qiong Wu , Jian Li , Zhenming Liu , Yanhua Li , Mihai Cucuringu

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is performed by solving an L1-regularized linear regression problem, commonly referred to as Lasso or Basis Pursuit. In this…

机器学习 · 统计学 2015-05-19 Pablo Sprechmann , Ignacio Ramírez , Guillermo Sapiro , Yonina Eldar

Large size models are implemented in recently ASR system to deal with complex speech recognition problems. The num- ber of parameters in these models makes them hard to deploy, especially on some resource-short devices such as car tablet.…

机器学习 · 计算机科学 2018-07-10 Sihao Xue , Zhenyi Ying , Fan Mo , Min Wang , Jue Sun

Consider a two-class classification problem where the number of features is much larger than the sample size. The features are masked by Gaussian noise with mean zero and covariance matrix $\Sigma$, where the precision matrix…

机器学习 · 统计学 2013-11-21 Yingying Fan , Jiashun Jin , Zhigang Yao

High-order interaction events are common in real-world applications. Learning embeddings that encode the complex relationships of the participants from these events is of great importance in knowledge mining and predictive tasks. Despite…

机器学习 · 计算机科学 2022-07-11 Zheng Wang , Yiming Xu , Conor Tillinghast , Shibo Li , Akil Narayan , Shandian Zhe

We introduce a novel, probabilistic binary latent variable model to detect noisy or approximate repeats of patterns in sparse binary data. The model is based on the "Noisy-OR model" (Heckerman, 1990), used previously for disease and topic…

机器学习 · 统计学 2022-01-27 Christopher Warner , Kiersten Ruda , Friedrich T. Sommer

We propose a procedure for sparse regression with pairwise interactions, by generalizing the Univariate Guided Sparse Regression (UniLasso) methodology. A central contribution is our introduction of a concept of univariate (or marginal)…

统计方法学 · 统计学 2026-01-05 Aymen Echarghaoui , Robert Tibshirani

We focus on the high-dimensional linear regression problem, where the algorithmic goal is to efficiently infer an unknown feature vector $\beta^*\in\mathbb{R}^p$ from its linear measurements, using a small number $n$ of samples. Unlike most…

统计理论 · 数学 2023-09-19 David Gamarnik , Eren C. Kızıldağ , Ilias Zadik

Many approaches to transform classification problems from non-linear to linear by feature transformation have been recently presented in the literature. These notably include sparse coding methods and deep neural networks. However, many of…

机器学习 · 计算机科学 2015-07-08 Alessandro Montalto , Giovanni Tessitore , Roberto Prevete

The search for higher-order feature interactions that are statistically significantly associated with a class variable is of high relevance in fields such as Genetics or Healthcare, but the combinatorial explosion of the candidate space…

机器学习 · 统计学 2019-05-13 Mahito Sugiyama , Karsten Borgwardt

In genomic studies, identifying biomarkers associated with a variable of interest is a major concern in biomedical research. Regularized approaches are classically used to perform variable selection in high-dimensional linear models.…

统计方法学 · 统计学 2020-07-22 Wencan Zhu , Céline Lévy-Leduc , Nils Ternès

Complex systems, such as economic, social, biological, and ecological systems, usually feature interactions not only between pairwise entities but also among three or more entities. These multi-entity interactions are known as higher-order…

物理与社会 · 物理学 2025-06-06 Junhap Bian , Tao Zhou , Yilin Bi

Sparse signal recovery problems from noisy linear measurements appear in many areas of wireless communications. In recent years, deep learning (DL) based approaches have attracted interests of researchers to solve the sparse linear inverse…

信号处理 · 电气工程与系统科学 2021-01-28 Wei Chen , Bowen Zhang , Shi Jin , Bo Ai , Zhangdui Zhong

The network reconstruction task aims to estimate a complex system's structure from various data sources such as time series, snapshots, or interaction counts. Recent work has examined this problem in networks whose relationships involve…

社会与信息网络 · 计算机科学 2023-12-05 Simon Lizotte , Jean-Gabriel Young , Antoine Allard

We study parameter estimation in Nonlinear Factor Analysis (NFA) where the generative model is parameterized by a deep neural network. Recent work has focused on learning such models using inference (or recognition) networks; we identify a…

机器学习 · 统计学 2017-10-18 Rahul G. Krishnan , Dawen Liang , Matthew Hoffman