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Sparse modelling or model selection with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm…

统计方法学 · 统计学 2022-11-14 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel , Agnieszka Sołtys

Multi-task learning, which optimizes performance across multiple tasks, is inherently a multi-objective optimization problem. Various algorithms are developed to provide discrete trade-off solutions on the Pareto front. Recently, continuous…

机器学习 · 计算机科学 2024-07-31 Weiyu Chen , James T. Kwok

In this work we are interested in the problems of supervised learning and variable selection when the input-output dependence is described by a nonlinear function depending on a few variables. Our goal is to consider a sparse nonparametric…

机器学习 · 统计学 2012-08-14 Lorenzo Rosasco , Silvia Villa , Sofia Mosci , Matteo Santoro , Alessandro verri

In this paper, we discuss application of iterative Stochastic Optimization routines to the problem of sparse signal recovery from noisy observation. Using Stochastic Mirror Descent algorithm as a building block, we develop a multistage…

机器学习 · 统计学 2022-03-31 Anatoli Juditsky , Andrei Kulunchakov , Hlib Tsyntseus

Linear sketching and recovery of sparse vectors with randomly constructed sparse matrices has numerous applications in several areas, including compressive sensing, data stream computing, graph sketching, and combinatorial group testing.…

数值分析 · 数学 2014-02-07 Bubacarr Bah , Luca Baldassarre , Volkan Cevher

The articulated and complex nature of human actions makes the task of action recognition difficult. One approach to handle this complexity is dividing it to the kinetics of body parts and analyzing the actions based on these partial…

计算机视觉与模式识别 · 计算机科学 2015-08-03 Amir Shahroudy , Gang Wang , Tian-Tsong Ng , Qingxiong Yang

Active learning enables efficient model training by leveraging interactions between machine learning agents and human annotators. We study and propose a novel framework that formulates batch active learning from the sparse approximation's…

机器学习 · 计算机科学 2022-11-08 Maohao Shen , Bowen Jiang , Jacky Yibo Zhang , Oluwasanmi Koyejo

Simultaneous feature selection and non-linear function estimation is challenging in modeling, especially in high-dimensional settings where the number of variables exceeds the available sample size. In this article, we investigate the…

机器学习 · 统计学 2026-01-05 Bin Luo , Susan Halabi

This work presents a new method for enhancing communication efficiency in stochastic Federated Learning that trains over-parameterized random networks. In this setting, a binary mask is optimized instead of the model weights, which are kept…

机器学习 · 计算机科学 2024-03-01 Mohamad Mestoukirdi , Omid Esrafilian , David Gesbert , Qianrui Li , Nicolas Gresset

Sparse connectivity is a hallmark of the brain and a desired property of artificial neural networks. It promotes energy efficiency, simplifies training, and enhances the robustness of network function. Thus, a detailed understanding of how…

无序系统与神经网络 · 物理学 2024-09-10 Mirza M. Junaid Baig , Armen Stepanyants

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

机器学习 · 统计学 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

Sparse recovery is widely applied in many fields, since many signals or vectors can be sparsely represented under some frames or dictionaries. Most of fast algorithms at present are based on solving $l^0$ or $l^1$ minimization problems and…

数值分析 · 数学 2019-03-06 Chong-Jun Li , Yi-Jun Zhong

The paper deals with the problem of finding sparse solutions to systems of polynomial equations possibly perturbed by noise. In particular, we show how these solutions can be recovered from group-sparse solutions of a derived system of…

信息论 · 计算机科学 2014-07-17 Fabien Lauer , Henrik Ohlsson

Interpretable Multi-Task Learning can be expressed as learning a sparse graph of the task relationship based on the prediction performance of the learned models. Since many natural phenomenon exhibit sparse structures, enforcing sparsity on…

机器学习 · 计算机科学 2020-09-14 Francesco Alesiani , Shujian Yu , Ammar Shaker , Wenzhe Yin

Performing multiple experiments is common when learning internal mechanisms of complex systems. These experiments can include perturbations to parameters or external disturbances. A challenging problem is to efficiently incorporate all…

系统与控制 · 计算机科学 2020-08-25 Zuogong Yue , Johan Thunberg , Wei Pan , Lennart Ljung , Jorge Goncalves

This article proposes diffusion LMS strategies for distributed estimation over adaptive networks that are able to exploit sparsity in the underlying system model. The approach relies on convex regularization, common in compressive sensing,…

机器学习 · 计算机科学 2015-06-05 Paolo Di Lorenzo , Ali H. Sayed

We present a strategy for the recovery of a sparse solution of a common problem in acoustic engineering, which is the reconstruction of sound source levels and locations applying microphone array measurements. The considered task bears…

最优化与控制 · 数学 2016-07-04 Laurent Hoeltgen , Michael Breuß , Gert Herold , Ennes Sarradj

Block-sparse regularization is already well-known in active thermal imaging and is used for multiple measurement based inverse problems. The main bottleneck of this method is the choice of regularization parameters which differs for each…

计算机视觉与模式识别 · 计算机科学 2024-10-30 Samim Ahmadi , Jan Christian Hauffen , Linh Kästner , Peter Jung , Giuseppe Caire , Mathias Ziegler

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

统计方法学 · 统计学 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

In this thesis we discuss machine learning methods performing automated variable selection for learning sparse predictive models. There are multiple reasons for promoting sparsity in the predictive models. By relying on a limited set of…

机器学习 · 计算机科学 2019-03-27 Magda Gregorova