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We consider feature selection for applications in machine learning where the dimensionality of the data is so large that it exceeds the working memory of the (local) computing machine. Unfortunately, current large-scale sketching algorithms…

机器学习 · 计算机科学 2021-05-27 Amirali Aghazadeh , Vipul Gupta , Alex DeWeese , O. Ozan Koyluoglu , Kannan Ramchandran

The problem of sparse linear regression is relevant in the context of linear system identification from large datasets. When data are collected from real-world experiments, measurements are always affected by perturbations or low-precision…

最优化与控制 · 数学 2020-04-01 S. M. Fosson , V. Cerone , D. Regruto

The explosion of activity in finding interactions in complex systems is driven by availability of copious observations of complex natural systems. However, such systems, e.g. the human brain, are rarely completely observable. Interaction…

数据分析、统计与概率 · 物理学 2019-04-17 Danh-Tai Hoang , Junghyo Jo , Vipul Periwal

Searches for beyond-Standard Model physics scenarios, such as supersymmetry (SUSY), at the Large Hadron Collider (LHC) are frequently optimised on simplified models. After assuming particular particle production and decay processes,…

高能物理 - 唯象学 · 物理学 2023-05-04 Melissa van Beekveld , Philip Grace , Anders Kvellestad , Adam Leinweber , Martin White

Many complex systems often contain interactions between more than two nodes, known as higher-order interactions, which can change the structure of these systems in significant ways. Researchers often assume that all interactions paint a…

物理与社会 · 物理学 2024-02-16 Nicholas W. Landry , Ilya Amburg , Mirah Shi , Sinan G. Aksoy

Sparse linear models are one of several core tools for interpretable machine learning, a field of emerging importance as predictive models permeate decision-making in many domains. Unfortunately, sparse linear models are far less flexible…

机器学习 · 统计学 2024-01-03 Ryan Thompson , Amir Dezfouli , Robert Kohn

Predicting drug-target interactions (DTI) via reliable computational methods is an effective and efficient way to mitigate the enormous costs and time of the drug discovery process. Structure-based drug similarities and sequence-based…

机器学习 · 计算机科学 2021-07-12 Bin Liu , Konstantinos Pliakos , Celine Vens , Grigorios Tsoumakas

Deep neural networks employ specialized architectures for vision, sequential and language tasks, yet this proliferation obscures their underlying commonalities. We introduce a unified matrix-order framework that casts convolutional,…

机器学习 · 计算机科学 2025-07-24 Yuzhou Zhu

We consider the high-dimensional discriminant analysis problem. For this problem, different methods have been proposed and justified by establishing exact convergence rates for the classification risk, as well as the l2 convergence results…

机器学习 · 统计学 2013-06-28 Mladen Kolar , Han Liu

In this work, a new two-stage identification method based on dynamic programming and sparsity inducing is proposed for switched linear systems. Our method achieves sparsity inducing in the identification of switched linear systems by the…

系统与控制 · 电气工程与系统科学 2024-07-15 Zheng Wenju , Ye Hao

The partitioning of a system model will condition the structure of the controller as well as its design. In order to partition a system model, one has to know what states and inputs to group together to define subsystem models. For a given…

系统与控制 · 计算机科学 2017-11-22 Romain Guicherd , Paul A. Trodden , Andrew R. Mills , Visakan Kadirkamanathan

In this paper, we discuss the development of a sublinear sparse Fourier algorithm for high-dimensional data. In ``Adaptive Sublinear Time Fourier Algorithm" by D. Lawlor, Y. Wang and A. Christlieb (2013), an efficient algorithm with…

数值分析 · 数学 2019-07-02 Bosu Choi , Andrew Christlieb , Yang Wang

The celebrated sparse representation model has led to remarkable results in various signal processing tasks in the last decade. However, despite its initial purpose of serving as a global prior for entire signals, it has been commonly used…

信息论 · 计算机科学 2017-10-11 Vardan Papyan , Jeremias Sulam , Michael Elad

This paper presents a convolutional layer that is able to process sparse input features. As an example, for image recognition problems this allows an efficient filtering of signals that do not lie on a dense grid (like pixel position), but…

计算机视觉与模式识别 · 计算机科学 2015-05-05 Martin Kiefel , Varun Jampani , Peter V. Gehler

In this work we present a new simple but efficient scheme - Subsquares approach - for development of algorithms for enclosing the solution set of overdetermined interval linear systems. We are going to show two algorithms based on this…

数值分析 · 计算机科学 2013-05-07 Jaroslav Horáček , Milan Hladík

This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

机器学习 · 计算机科学 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

This paper describes the hierarchical infinite relational model (HIRM), a new probabilistic generative model for noisy, sparse, and heterogeneous relational data. Given a set of relations defined over a collection of domains, the model…

机器学习 · 计算机科学 2022-02-25 Feras A. Saad , Vikash K. Mansinghka

In this paper we revisit random linear under-determined systems with sparse solutions. We consider $\ell_1$ optimization heuristic known to work very well when used to solve these systems. A collection of fundamental results that relate to…

最优化与控制 · 数学 2016-12-20 Mihailo Stojnic

Taking into account high-order interactions among covariates is valuable in many practical regression problems. This is, however, computationally challenging task because the number of high-order interaction features to be considered would…

机器学习 · 统计学 2015-06-29 Kazuya Nakagawa , Shinya Suzumura , Masayuki Karasuyama , Koji Tsuda , Ichiro Takeuchi

Animating human-scene interactions such as pick-and-place tasks in cluttered, complex layouts is a challenging task, with objects of a wide variation of geometries and articulation under scenarios with various obstacles. The main difficulty…

图形学 · 计算机科学 2025-10-07 Jintao Lu , He Zhang , Yuting Ye , Takaaki Shiratori , Sebastian Starke , Taku Komura