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Sparse linear regression is a central problem in high-dimensional statistics. We study the correlated random design setting, where the covariates are drawn from a multivariate Gaussian $N(0,\Sigma)$, and we seek an estimator with small…

数据结构与算法 · 计算机科学 2023-05-29 Jonathan Kelner , Frederic Koehler , Raghu Meka , Dhruv Rohatgi

In many statistical learning problems, it is desired that the optimal solution conforms to an a priori known sparsity structure represented by a directed acyclic graph. Inducing such structures by means of convex regularizers requires…

最优化与控制 · 数学 2020-10-20 Dewei Zhang , Yin Liu , Sam Davanloo Tajbakhsh

In many high dimensional classification or regression problems set in a biological context, the complete identification of the set of informative features is often as important as predictive accuracy, since this can provide mechanistic…

机器学习 · 计算机科学 2020-03-02 Yuxin Sun , Benny Chain , Samuel Kaski , John Shawe-Taylor

Several learning applications require solving high-dimensional regression problems where the relevant features belong to a small number of (overlapping) groups. For very large datasets and under standard sparsity constraints, hard…

机器学习 · 统计学 2016-05-30 Prateek Jain , Nikhil Rao , Inderjit Dhillon

Multitask learning can be effective when features useful in one task are also useful for other tasks, and the group lasso is a standard method for selecting a common subset of features. In this paper, we are interested in a less restrictive…

机器学习 · 计算机科学 2013-11-25 Nikhil Rao , Christopher Cox , Robert Nowak , Timothy Rogers

In multi-task learning (MTL), we improve the performance of key machine learning algorithms by training various tasks jointly. When the number of tasks is large, modeling task structure can further refine the task relationship model. For…

机器学习 · 计算机科学 2020-11-25 Xiangyu Niu , Yifan Sun , Jinyuan Sun

Deepening and widening convolutional neural networks (CNNs) significantly increases the number of trainable weight parameters by adding more convolutional layers and feature maps per layer, respectively. By imposing inter- and intra-group…

计算机视觉与模式识别 · 计算机科学 2019-12-18 Kevin Bui , Fredrick Park , Shuai Zhang , Yingyong Qi , Jack Xin

In structured output learning, obtaining labelled data for real-world applications is usually costly, while unlabelled examples are available in abundance. Semi-supervised structured classification has been developed to handle large amounts…

机器学习 · 计算机科学 2013-11-12 P. Balamurugan , Shirish Shevade , Sundararajan Sellamanickam

We aim to develop a time series modeling methodology tailored to high-dimensional environments, addressing two critical challenges: variable selection from a large pool of candidates, and the detection of structural break points, where the…

计量经济学 · 经济学 2025-04-15 Angelo Milfont , Alvaro Veiga

In statistics, generalized linear models (GLMs) are widely used for modeling data and can expressively capture potential nonlinear dependence of the model's outcomes on its covariates. Within the broad family of GLMs, those with binary…

统计理论 · 数学 2025-09-04 Namiko Matsumoto , Arya Mazumdar

Expression quantitative trait loci (eQTL) mapping constitutes a challenging problem due to, among other reasons, the high-dimensional multivariate nature of gene-expression traits. Next to the expression heterogeneity produced by…

定量方法 · 定量生物学 2014-12-10 Inma Tur , Alberto Roverato , Robert Castelo

Transfer learning techniques aim to leverage information from multiple related datasets to enhance prediction quality against a target dataset. Such methods have been adopted in the context of high-dimensional sparse regression, and some…

机器学习 · 统计学 2025-01-31 Koki Okajima , Tomoyuki Obuchi

To address the challenge of utilizing patient data from other organ transplant centers (source cohorts) to improve survival time estimation and inference for a target center (target cohort) with limited samples and strict data-sharing…

统计方法学 · 统计学 2025-03-25 Hua Liu , Jiaqi Men , Shouxia Wang , Jinhong You , Jiguo Cao

In variable or graph selection problems, finding a right-sized model or controlling the number of false positives is notoriously difficult. Recently, a meta-algorithm called Stability Selection was proposed that can provide reliable…

机器学习 · 统计学 2017-12-14 George Philipp , Seunghak Lee , Eric P. Xing

Evolution Strategies (ES) is a class of powerful black-box optimisation methods that are highly parallelisable and can handle non-differentiable and noisy objectives. However, na\"ive ES becomes prohibitively expensive at scale on GPUs due…

This paper explores transfer learning in heterogeneous multi-source environments with distributional divergence between target and auxiliary domains. To address challenges in statistical bias and computational efficiency, we propose a…

机器学习 · 统计学 2025-04-08 Chenqi Gong , Hu Yang

High-dimensional compositional data are frequently encountered in many fields of modern scientific research. In regression analysis of compositional data, the presence of covariate measurement errors poses grand challenges for existing…

统计方法学 · 统计学 2024-07-23 Wenxi Tan , Lingzhou Xue , Songshan Yang , Xiang Zhan

Gaussian graphical regression is a powerful means that regresses the precision matrix of a Gaussian graphical model on covariates, permitting the numbers of the response variables and covariates to far exceed the sample size. Model fitting…

统计方法学 · 统计学 2022-05-24 Jingfei Zhang , Yi Li

The rapid growth of nature-inspired metaheuristics has exposed a persistent gap between metaphorical novelty and genuine algorithmic advancement. Motivated by the biophysics of chromatin loop extrusion -- a well-characterized genome-folding…

神经与进化计算 · 计算机科学 2026-04-07 Eren Unlu

We study the problem of estimating multiple linear regression equations for the purpose of both prediction and variable selection. Following recent work on multi-task learning Argyriou et al. [2008], we assume that the regression vectors…

机器学习 · 统计学 2012-08-21 Karim Lounici , Massimiliano Pontil , Alexandre B. Tsybakov , Sara van de Geer