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Sparse mapping has been a key methodology in many high-dimensional scientific problems. When multiple tasks share the set of relevant features, learning them jointly in a group drastically improves the quality of relevant feature selection.…

机器学习 · 统计学 2017-09-18 Meghana Kshirsagar , Eunho Yang , Aurélie C. Lozano

Multi-view learning leverages correlations between different sources of data to make predictions in one view based on observations in another view. A popular approach is to assume that, both, the correlations between the views and the…

机器学习 · 计算机科学 2014-04-29 Behrouz Behmardi , Cedric Archambeau , Guillaume Bouchard

Recent work in signal processing and statistics have focused on defining new regularization functions, which not only induce sparsity of the solution, but also take into account the structure of the problem. We present in this paper a class…

机器学习 · 计算机科学 2011-10-21 Julien Mairal , Rodolphe Jenatton , Guillaume Obozinski , Francis Bach

In this paper, we propose a framework for automatic classification of patients from multimodal genetic and brain imaging data by optimally combining them. Additive models with unadapted penalties (such as the classical group lasso penalty…

机器学习 · 统计学 2017-10-11 Pascal Lu , Olivier Colliot

This paper considers the multi-task learning problem and in the setting where some relevant features could be shared across few related tasks. Most of the existing methods assume the extent to which the given tasks are related or share a…

机器学习 · 计算机科学 2012-06-22 Pratik Jawanpuria , J. Saketha Nath

Multi-task learning is a natural approach for computer vision applications that require the simultaneous solution of several distinct but related problems, e.g. object detection, classification, tracking of multiple agents, or denoising, to…

机器学习 · 计算机科学 2015-04-14 Carlo Ciliberto , Lorenzo Rosasco , Silvia Villa

High-dimensional data pose challenges in statistical learning and modeling. Sometimes the predictors can be naturally grouped where pursuing the between-group sparsity is desired. Collinearity may occur in real-world high-dimensional…

机器学习 · 统计学 2011-11-11 Yiyuan She

The paper introduces a penalized matrix estimation procedure aiming at solutions which are sparse and low-rank at the same time. Such structures arise in the context of social networks or protein interactions where underlying graphs have…

数据结构与算法 · 计算机科学 2012-07-03 Emile Richard , Pierre-Andre Savalle , Nicolas Vayatis

In multi-task learning several related tasks are considered simultaneously, with the hope that by an appropriate sharing of information across tasks, each task may benefit from the others. In the context of learning linear functions for…

机器学习 · 计算机科学 2008-09-12 Laurent Jacob , Francis Bach , Jean-Philippe Vert

Multilayer graphs are appealing mathematical tools for modeling multiple types of relationship in the data. In this paper, we aim at analyzing multilayer graphs by properly combining the information provided by individual layers, while…

机器学习 · 计算机科学 2020-10-30 Mireille El Gheche , Pascal Frossard

We present a novel methodology to jointly perform multi-task learning and infer intrinsic relationship among tasks by an interpretable and sparse graph. Unlike existing multi-task learning methodologies, the graph structure is not assumed…

机器学习 · 计算机科学 2020-09-15 Shujian Yu , Francesco Alesiani , Ammar Shaker , Wenzhe Yin

We investigate a general framework of multiplicative multitask feature learning which decomposes each task's model parameters into a multiplication of two components. One of the components is used across all tasks and the other component is…

机器学习 · 计算机科学 2016-10-25 Xin Wang , Jinbo Bi , Shipeng Yu , Jiangwen Sun

Multi-task learning is a framework that enforces different learning tasks to share their knowledge to improve their generalization performance. It is a hot and active domain that strives to handle several core issues; particularly, which…

机器学习 · 计算机科学 2021-02-23 Johnny Torres , Guangji Bai , Junxiang Wang , Liang Zhao , Carmen Vaca , Cristina Abad

For many algorithms, parameter tuning remains a challenging and critical task, which becomes tedious and infeasible in a multi-parameter setting. Multi-penalty regularization, successfully used for solving undetermined sparse regression of…

机器学习 · 统计学 2017-10-12 Markus Grasmair , Timo Klock , Valeriya Naumova

Biased regularization and fine-tuning are two recent meta-learning approaches. They have been shown to be effective to tackle distributions of tasks, in which the tasks' target vectors are all close to a common meta-parameter vector.…

机器学习 · 计算机科学 2020-08-26 Giulia Denevi , Massimiliano Pontil , Carlo Ciliberto

Supervised classification and representation learning are two widely used classes of methods to analyze multivariate images. Although complementary, these methods have been scarcely considered jointly in a hierarchical modeling. In this…

计算机视觉与模式识别 · 计算机科学 2020-02-14 Adrien Lagrange , Mathieu Fauvel , Stéphane May , José Bioucas-Dias , Nicolas Dobigeon

We consider a multitask learning problem, in which several predictors are learned jointly. Prior research has shown that learning the relations between tasks, and between the input features, together with the predictor, can lead to better…

机器学习 · 计算机科学 2019-07-11 Han Zhao , Otilia Stretcu , Alex Smola , Geoff Gordon

We consider the problem of predicting several response variables using the same set of explanatory variables. This setting naturally induces a group structure over the coefficient matrix, in which every explanatory variable corresponds to a…

统计方法学 · 统计学 2019-10-03 Aviv Navon , Saharon Rosset

We present an integrated approach for structure and parameter estimation in latent tree graphical models. Our overall approach follows a "divide-and-conquer" strategy that learns models over small groups of variables and iteratively merges…

机器学习 · 计算机科学 2019-12-19 Furong Huang , Niranjan U. N. , Ioakeim Perros , Robert Chen , Jimeng Sun , Anima Anandkumar

Finding clusters of well-connected nodes in a graph is an extensively studied problem in graph-based data analysis. Because of its many applications, a large number of distinct graph clustering objective functions and algorithms have…

社会与信息网络 · 计算机科学 2019-03-14 Nate Veldt , David F. Gleich , Anthony Wirth