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With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

统计方法学 · 统计学 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

In this paper, we introduce Adaptive Cluster Lasso(ACL) method for variable selection in high dimensional sparse regression models with strongly correlated variables. To handle correlated variables, the concept of clustering or grouping…

机器学习 · 统计学 2016-03-14 Niharika Gauraha , Swapan K. Parui

Numerous practical medical problems often involve data that possess a combination of both sparse and non-sparse structures. Traditional penalized regularizations techniques, primarily designed for promoting sparsity, are inadequate to…

统计方法学 · 统计学 2023-11-10 Shun Yu , Yuehan Yang

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

动力系统 · 数学 2026-02-18 Teddy Meissner , Karl Glasner

This study presents a computationally efficient framework for accelerated alloy discovery that uses the non-interacting electron density to capture intrinsic structure-property relationships in refractory high-entropy alloys (HEAs). Unlike…

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

统计计算 · 统计学 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan

Artificial intelligence and machine learning is enhancing electric grids by offering data analysis tools that can be used to operate the power grid more reliably. However, the complex nonlinear dynamics, particularly when coupled with…

系统与控制 · 电气工程与系统科学 2024-03-15 Reza Saeed Kandezy , John Ning Jiang

In this paper, we consider the classic measurement error regression scenario in which our independent, or design, variables are observed with several sources of additive noise. We will show that our motivating example's replicated…

应用统计 · 统计学 2012-07-10 David J. Biagioni , Ryan Elmore , Wesley Jones

We give an efficient algorithm for finding sparse approximate solutions to linear systems of equations with nonnegative coefficients. Unlike most known results for sparse recovery, we do not require {\em any} assumption on the matrix other…

数据结构与算法 · 计算机科学 2015-01-09 Aditya Bhaskara , Ananda Theertha Suresh , Morteza Zadimoghaddam

In machine learning and data mining, linear models have been widely used to model the response as parametric linear functions of the predictors. To relax such stringent assumptions made by parametric linear models, additive models consider…

机器学习 · 统计学 2017-10-18 Sheng Chen , Arindam Banerjee

This paper considers the design of tunable decision schemes capable of rejecting with high probability mismatched signals embedded in Gaussian interference with unknown covariance matrix. To this end, a sparse recovery technique is…

信号处理 · 电气工程与系统科学 2020-04-29 Sudan Han , Luca Pallotta , Xiaotao Huang , Gaetano Giunta , Danilo Orlando

Recently, substantial research efforts in Deep Metric Learning (DML) focused on designing complex pairwise-distance losses, which require convoluted schemes to ease optimization, such as sample mining or pair weighting. The standard…

To quantify the complexity of a system, entropy-based methods have received considerable critical attentions in real-world data analysis. Among numerous entropy algorithms, amplitude-based formulas, represented by Sample Entropy, suffer…

信号处理 · 电气工程与系统科学 2022-01-12 Hongjian Xiao , Danilo P. Mandic

Leveraging the wealth of unlabeled data produced in recent years provides great potential for improving supervised models. When the cost of acquiring labels is high, probabilistic active learning methods can be used to greedily select the…

Amorphous grain boundary complexions have been shown to be radiation tolerant interfaces that can also reduce grain boundary embrittlement, marking them as favorable microstructural features. However, the incorporation of these features…

材料科学 · 物理学 2026-04-23 Prince Sharma , Jaime Marian , Jason R. Trelewicz , Timothy J. Rupert

Large language models (LLMs) achieve remarkable generative performance, yet their output quality is dependent on the decoding strategy. While sampling-based methods (e.g., top-k, nucleus) and search-and-select based methods (e.g., beam…

机器学习 · 计算机科学 2026-05-12 Benjamin Patrick Evans , Sumitra Ganesh , Leo Ardon

Sparse linear regression -- finding an unknown vector from linear measurements -- is now known to be possible with fewer samples than variables, via methods like the LASSO. We consider the multiple sparse linear regression problem, where…

机器学习 · 计算机科学 2012-02-28 Ali Jalali , Pradeep Ravikumar , Sujay Sanghavi

The intricate microstructure serves as the cornerstone for the composition/processing-structure-property (CPSP) connection in multiphase alloys. Traditional alloy design methods often overlook microstructural details, which diminishes the…

材料科学 · 物理学 2024-09-05 Xudong Ma , Yuqi Zhang , Chenchong Wang , Ming Wang , Mingxin Huang , Wei Xu

Greedy algorithms for feature selection are widely used for recovering sparse high-dimensional vectors in linear models. In classical procedures, the main emphasis was put on the sample complexity, with little or no consideration of the…

机器学习 · 统计学 2021-02-11 El Mehdi Saad , Gilles Blanchard , Sylvain Arlot

We consider high dimensional sparse regression, and develop strategies able to deal with arbitrary -- possibly, severe or coordinated -- errors in the covariance matrix $X$. These may come from corrupted data, persistent experimental…

机器学习 · 统计学 2013-01-15 Yudong Chen , Constantine Caramanis , Shie Mannor