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Inferring predictive maps between multiple input and multiple output variables or tasks has innumerable applications in data science. Multi-task learning attempts to learn the maps to several output tasks simultaneously with information…

We consider multi-task learning, which simultaneously learns related prediction tasks, to improve generalization performance. We factorize a coefficient matrix as the product of two matrices based on a low-rank assumption. These matrices…

机器学习 · 统计学 2018-08-14 Jun-Yong Jeong , Chi-Hyuck Jun

This work studies the multi-task functional linear regression models where both the covariates and the unknown regression coefficients (called slope functions) are curves. For slope function estimation, we employ penalized splines to…

统计理论 · 数学 2023-08-02 Shiyuan He , Hanxuan Ye , Kejun He

In undirected graphical models, learning the graph structure and learning the functions that relate the predictive variables (features) to the responses given the structure are two topics that have been widely investigated in machine…

人工智能 · 计算机科学 2015-03-19 Shilin Ding

We investigate the choice of tuning parameters for a Bayesian multi-level group lasso model developed for the joint analysis of neuroimaging and genetic data. The regression model we consider relates multivariate phenotypes consisting of…

机器学习 · 统计学 2016-03-29 Farouk S. Nathoo , Keelin Greenlaw , Mary Lesperance

The identification of predictive biomarkers from a large scale of covariates for subgroup analysis has attracted fundamental attention in medical research. In this article, we propose a generalized penalized regression method with a novel…

统计方法学 · 统计学 2019-04-29 Chong Ma , Wenxuan Deng , Shuangge Ma , Ray Liu , Kevin Galinsky

We investigate the parameter estimation of regression models with fixed group effects, when the group variable is missing while group related variables are available. This problem involves clustering to infer the missing group variable…

统计方法学 · 统计学 2020-12-29 Matthieu Marbac , Mohammed Sedki , Christophe Biernacki , Vincent Vandewalle

In recent years, bilevel approaches have become very popular to efficiently estimate high-dimensional hyperparameters of machine learning models. However, to date, binary parameters are handled by continuous relaxation and rounding…

Multi-task/Multi-output learning seeks to exploit correlation among tasks to enhance performance over learning or solving each task independently. In this paper, we investigate this problem in the context of Gaussian Processes (GPs) and…

机器学习 · 统计学 2018-05-10 Weitong Ruan , Eric L. Miller

Reducing the amount of human supervision is a key problem in machine learning and a natural approach is that of exploiting the relations (structure) among different tasks. This is the idea at the core of multi-task learning. In this context…

机器学习 · 计算机科学 2015-04-21 Carlo Ciliberto , Youssef Mroueh , Tomaso Poggio , Lorenzo Rosasco

Radiogenomics is an emerging field in cancer research that combines medical imaging data with genomic data to predict patients clinical outcomes. In this paper, we propose a multivariate sparse group lasso joint model to integrate imaging…

统计方法学 · 统计学 2022-06-06 Tiantian Zeng , Md Selim , Jie Zhang , Arnold Stromberg , Jin Chen , Chi Wang

Multi-task learning (MTL) aims to improve generalization performance by learning multiple related tasks simultaneously. While sometimes the underlying task relationship structure is known, often the structure needs to be estimated from data…

We propose a method for estimating coefficients in multivariate regression when there is a clustering structure to the response variables. The proposed method includes a fusion penalty, to shrink the difference in fitted values from…

机器学习 · 统计学 2018-03-28 Bradley S. Price , Ben Sherwood

Recently, there is a revival of interest in low-rank matrix completion-based unsupervised learning through the lens of dual-graph regularization, which has significantly improved the performance of multidisciplinary machine learning tasks…

机器学习 · 计算机科学 2022-09-07 Yangge Chen , Lei Cheng , Yik-Chung Wu

There is growing body of learning problems for which it is natural to organize the parameters into matrix, so as to appropriately regularize the parameters under some matrix norm (in order to impose some more sophisticated prior knowledge).…

机器学习 · 计算机科学 2010-10-19 Sham M. Kakade , Shai Shalev-Shwartz , Ambuj Tewari

Heterogeneous data are now ubiquitous in many applications in which correctly identifying the subgroups from a heterogeneous population is critical. Although there is an increasing body of literature on subgroup detection, existing methods…

统计方法学 · 统计学 2025-12-09 Jie Wu , Bo Zhang , Daoji Li , Zemin Zheng

We address the problem of merging graph and feature-space information while learning a metric from structured data. Existing algorithms tackle the problem in an asymmetric way, by either extracting vectorized summaries of the graph…

机器学习 · 计算机科学 2020-02-17 Nicolo Colombo

Multi-task learning (MTL) is a methodology that aims to improve the general performance of estimation and prediction by sharing common information among related tasks. In the MTL, there are several assumptions for the relationships and…

统计方法学 · 统计学 2023-04-27 Akira Okazaki , Shuichi Kawano

Probabilistic graphical models (PGMs) provide a compact and flexible framework to model very complex real-life phenomena. They combine the probability theory which deals with uncertainty and logical structure represented by a graph which…

机器学习 · 统计学 2023-02-01 Maryia Shpak

We consider the problem of learning the structure of a pairwise graphical model over continuous and discrete variables. We present a new pairwise model for graphical models with both continuous and discrete variables that is amenable to…

机器学习 · 统计学 2013-07-05 Jason D. Lee , Trevor J. Hastie
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