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Joint sparsity offers powerful structural cues for feature selection, especially for variables that are expected to demonstrate a "grouped" behavior. Such behavior is commonly modeled via group-lasso, multitask lasso, and related methods…

机器学习 · 统计学 2012-04-09 Suvrit Sra

Greedy Pursuits are very popular in Compressed Sensing for sparse signal recovery. Though many of the Greedy Pursuits possess elegant theoretical guarantees for performance, it is well known that their performance depends on the statistical…

应用统计 · 统计学 2012-06-20 Sooraj K. Ambat , Saikat Chatterjee , K. V. S. Hari

Machine learning algorithms are designed to capture complex relationships between features. In this context, the high dimensionality of data often results in poor model performance, with the risk of overfitting. Feature selection, the…

机器学习 · 计算机科学 2023-10-18 Paolo Bonetti , Alberto Maria Metelli , Marcello Restelli

We consider the exploration problem: an agent equipped with a depth sensor must map out a previously unknown environment using as few sensor measurements as possible. We propose an approach based on supervised learning of a greedy…

机器学习 · 计算机科学 2022-03-29 Louis Ly , Yen-Hsi Richard Tsai

A quantitative first-principles description of complex substitutional materials like alloys is challenging due to the vast number of configurations and the high computational cost of solving the quantum-mechanical problem. Therefore,…

材料科学 · 物理学 2025-06-24 Adrian Stroth , Claudia Draxl , Santiago Rigamonti

The interest in variable selection for clustering has increased recently due to the growing need in clustering high-dimensional data. Variable selection allows in particular to ease both the clustering and the interpretation of the results.…

统计方法学 · 统计学 2012-04-11 Charles Bouveyron , Camille Brunet

We demonstrate the synthesis of sparse sampling and machine learning to characterize and model complex, nonlinear dynamical systems over a range of bifurcation parameters. First, we construct modal libraries using the classical proper…

斑图形成与孤子 · 物理学 2015-10-28 Syuzanna Sargsyan , Steven L. Brunton , J. Nathan Kutz

Modern visual analytic tools promote human-in-the-loop analysis but are limited in their ability to direct the user toward interesting and promising directions of study. This problem is especially acute when the analysis task is exploratory…

数据库 · 计算机科学 2015-12-31 Hao Wu , Maoyuan Sun , Peng Mi , Nikolaj Tatti , Chris North , Naren Ramakrishnan

While machine learning has emerged in recent years as a useful tool for rapid prediction of materials properties, generating sufficient data to reliably train models without overfitting is still impractical for many applications. Towards…

材料科学 · 物理学 2022-07-29 Rees Chang , Yu-Xiong Wang , Elif Ertekin

The recently proposed multi-layer sparse model has raised insightful connections between sparse representations and convolutional neural networks (CNN). In its original conception, this model was restricted to a cascade of convolutional…

图像与视频处理 · 电气工程与系统科学 2018-07-26 Aviad Aberdam , Jeremias Sulam , Michael Elad

We consider estimation in a high-dimensional linear model with strongly correlated variables. We propose to cluster the variables first and do subsequent sparse estimation such as the Lasso for cluster-representatives or the group Lasso…

统计方法学 · 统计学 2015-01-14 Peter Bühlmann , Philipp Rütimann , Sara van de Geer , Cun-Hui Zhang

A fundamental problem in collaborative sensing lies in providing an accurate prediction of critical events (e.g., hazardous environmental condition, urban abnormalities, economic trends). However, due to the resource constraints,…

信号处理 · 电气工程与系统科学 2019-09-11 Daniel Zhang , Yang Zhang , Dong Wang

In many fields, researchers are interested in large and complex biological processes. Two important examples are gene expression and DNA methylation in genetics. One key problem is to identify aberrant patterns of these processes and…

应用统计 · 统计学 2012-10-03 Matthias Kormaksson , James G. Booth , Maria E. Figueroa , Ari Melnick

A new method for analyzing high-dimensional categorical data, Linear Latent Structure (LLS) analysis, is presented. LLS models belong to the family of latent structure models, which are mixture distribution models constrained to satisfy the…

概率论 · 数学 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

Accurate detection of the centerline of a thick linear structure and good estimation of its thickness are challenging topics in many real-world applications such X-ray imaging, remote sensing and lane marking detection in road traffic.…

计算机视觉与模式识别 · 计算机科学 2024-05-16 Nafaa Nacereddine , Aicha Baya Goumeidane , Djemel Ziou

The multiscale entropy assesses the complexity of a signal across different timescales. It originates from the biomedical domain and was recently successfully used to characterize light curves as part of a supervised machine learning…

太阳与恒星天体物理 · 物理学 2022-10-12 Jeroen Audenaert , Andrew Tkachenko

Model-based clustering integrated with variable selection is a powerful tool for uncovering latent structures within complex data. However, its effectiveness is often hindered by challenges such as identifying relevant variables that define…

Structural prediction for the discovery of novel materials is a long sought after goal of computational physics and materials sciences. The success is rather limited for methods such as the simulated annealing method (SA) that require…

材料科学 · 物理学 2023-02-08 Chuannan Li , Hanpu Liang , Yifeng Duan , Zijing Lin

We employ a descriptor based machine-learning approach to assess the effect of chemical alloying on formation-enthalpy of rare-earth intermetallics. Application of machine-learning approaches in rare-earth intermetallic design have been…

Motivated by recent work on stochastic gradient descent methods, we develop two stochastic variants of greedy algorithms for possibly non-convex optimization problems with sparsity constraints. We prove linear convergence in expectation to…

数值分析 · 数学 2014-07-02 Nam Nguyen , Deanna Needell , Tina Woolf