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Sparsity promoting norms are frequently used in high dimensional regression. A limitation of such Lasso-type estimators is that the optimal regularization parameter depends on the unknown noise level. Estimators such as the concomitant…

机器学习 · 统计学 2020-09-04 Quentin Bertrand , Mathurin Massias , Alexandre Gramfort , Joseph Salmon

After the completion of human genome sequence was anounced, it is evident that interpretation of DNA sequences is an immediate task to work on. For understanding their signals, improvement of present sequence analysis tools and developing…

计算复杂性 · 计算机科学 2007-05-23 Gene Kim , MyungHo Kim

Correlations between two variables of a high-dimensional system can be indicative of an underlying interaction, but can also result from indirect effects. Inverse Ising inference is a method to distinguish one from the other. Essentially,…

种群与进化 · 定量生物学 2014-12-10 Benedikt Obermayer , Erel Levine

Estimation of a high dimensional precision matrix is a critical problem to many areas of statistics including Gaussian graphical models and inference on high dimensional data. Working under the structural assumption of sparsity, we propose…

统计方法学 · 统计学 2020-12-17 Adam B Kashlak

The lasso is a popular tool for sparse linear regression, especially for problems in which the number of variables p exceeds the number of observations n. But when p>n, the lasso criterion is not strictly convex, and hence it may not have a…

统计理论 · 数学 2012-11-06 Ryan J. Tibshirani

Genome-wide association studies (GWA studies or GWAS) investigate the relationships between genetic variants such as single-nucleotide polymorphisms (SNPs) and individual traits. Recently, incorporating biological priors together with…

机器学习 · 统计学 2017-09-13 Tao Yang , Paul Thompson , Sihai Zhao , Jieping Ye

Many inference problems in structured prediction can be modeled as maximizing a score function on a space of labels, where graphs are a natural representation to decompose the total score into a sum of unary (nodes) and pairwise (edges)…

机器学习 · 统计学 2021-02-19 Kevin Bello , Jean Honorio

Regression with the lasso penalty is a popular tool for performing dimension reduction when the number of covariates is large. In many applications of the lasso, like in genomics, covariates are subject to measurement error. We study the…

统计方法学 · 统计学 2017-01-04 Øystein Sørensen , Arnoldo Frigessi , Magne Thoresen

High-dimensional genetic covariate selection in population pharmacokinetic (PK) models is challenging due to the cohort's restricted size and high correlation among single-nucleotide polymorphisms (SNPs). We propose a fully Bayesian,…

应用统计 · 统计学 2026-04-17 Julien Martinelli , Ibtissem Rebai , David W. Haas , Julie Bertrand

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

信息论 · 计算机科学 2014-02-04 Yuejie Chi

This paper addresses the problem of identifying sparse linear time-invariant (LTI) systems from a single sample trajectory generated by the system dynamics. We introduce a Lasso-like estimator for the parameters of the system, taking into…

系统与控制 · 计算机科学 2019-04-23 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

Interpretable machine learning has demonstrated impressive performance while preserving explainability. In particular, neural additive models (NAM) offer the interpretability to the black-box deep learning and achieve state-of-the-art…

机器学习 · 统计学 2022-02-28 Shiyun Xu , Zhiqi Bu , Pratik Chaudhari , Ian J. Barnett

The problem central to sparse recovery and compressive sensing is that of stable sparse recovery: we want a distribution of matrices A in R^{m\times n} such that, for any x \in R^n and with probability at least 2/3 over A, there is an…

数据结构与算法 · 计算机科学 2011-12-30 Eric Price , David P. Woodruff

We introduce the sparse direct sampling method (DSM) to estimate properties of a region from signals that probe the region. We demonstrate the sparse-DSM on two separate problems: estimating both the angle-of-arrival of a radio wave…

偏微分方程分析 · 数学 2020-10-19 Isaac Harris , Jacob D Rezac

We provide an approach to exploratory data analysis in matched observational studies with a single intervention and multiple endpoints. In such settings, the researcher would like to explore evidence for actual treatment effects among these…

统计方法学 · 统计学 2025-12-10 Mengqi Lin , Colin Fogarty

Deep learning models are known to often learn features that spuriously correlate with the class label during training but are irrelevant to the prediction task. Existing methods typically address this issue by annotating potential spurious…

计算机视觉与模式识别 · 计算机科学 2025-12-30 Weiwei Li , Junzhuo Liu , Yuanyuan Ren , Yuchen Zheng , Yahao Liu , Wen Li

A structured variable selection problem is considered in which the covariates, divided into predefined groups, activate according to sparse patterns with few nonzero entries per group. Capitalizing on the concept of atomic norm, a composite…

机器学习 · 计算机科学 2023-11-03 David Gregoratti , Xavier Mestre , Carlos Buelga

Variable (feature, gene, model, which we use interchangeably) selections for regression with high-dimensional BIGDATA have found many applications in bioinformatics, computational biology, image processing, and engineering. One appealing…

机器学习 · 计算机科学 2014-07-29 Zhenqiu Liu , Gang Li

We consider multichannel sparse recovery problem where the objective is to find good recovery of jointly sparse unknown signal vectors from the given multiple measurement vectors which are different linear combinations of the same known…

信息论 · 计算机科学 2015-06-11 Esa Ollila

We propose a matching method that recovers direct treatment effects from randomized experiments where units are connected in an observed network, and units that share edges can potentially influence each others' outcomes. Traditional…

统计方法学 · 统计学 2020-05-12 M. Usaid Awan , Marco Morucci , Vittorio Orlandi , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky