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Sparse logistic regression is for classification and feature selection simultaneously. Although many studies have been done to solve $\ell_1$-regularized logistic regression, there is no equivalently abundant work on solving sparse logistic…

机器学习 · 计算机科学 2023-10-13 Mengyuan Zhang , Kai Liu

We consider the problem of supervised learning with convex loss functions and propose a new form of iterative regularization based on the subgradient method. Unlike other regularization approaches, in iterative regularization no constraint…

机器学习 · 统计学 2015-04-02 Junhong Lin , Lorenzo Rosasco , Ding-Xuan Zhou

Multi-task reinforcement learning could enable robots to scale across a wide variety of manipulation tasks in homes and workplaces. However, generalizing from one task to another and mitigating negative task interference still remains a…

机器学习 · 计算机科学 2024-03-07 Josselin Somerville Roberts , Julia Di

Convex clustering, a convex relaxation of k-means clustering and hierarchical clustering, has drawn recent attentions since it nicely addresses the instability issue of traditional nonconvex clustering methods. Although its computational…

统计方法学 · 统计学 2019-01-01 Binhuan Wang , Yilong Zhang , Will Wei Sun , Yixin Fang

Semi-supervised learning has recently been attracting attention as an alternative to fully supervised models that require large pools of labeled data. Moreover, optimizing a model for multiple tasks can provide better generalizability than…

计算机视觉与模式识别 · 计算机科学 2020-05-07 Abdullah-Al-Zubaer Imran , Chao Huang , Hui Tang , Wei Fan , Yuan Xiao , Dingjun Hao , Zhen Qian , Demetri Terzopoulos

Multi-task learning (MTL) aims to leverage shared information among tasks to improve learning efficiency and accuracy. However, MTL often struggles to effectively manage positive and negative transfer between tasks, which can hinder…

机器学习 · 计算机科学 2025-05-19 Chenguang Wang , Xuanhao Pan , Tianshu Yu

In this paper, we propose a general class of algorithms for optimizing an extensive variety of nonsmoothly penalized objective functions that satisfy certain regularity conditions. The proposed framework utilizes the…

统计计算 · 统计学 2011-01-24 Elizabeth D. Schifano , Robert L. Strawderman , Martin T. Wells

Flexible sparsity regularization means stably approximating sparse solutions of operator equations by using coefficient-dependent penalizations. We propose and analyse a general nonconvex approach in this respect, from both theoretical and…

最优化与控制 · 数学 2021-11-12 Daria Ghilli , Dirk A. Lorenz , Elena Resmerita

Sparse Bayesian learning (SBL) has emerged as a fast and competitive method to perform sparse processing. The SBL algorithm, which is developed using a Bayesian framework, approximately solves a non-convex optimization problem using fixed…

Nonconvex sparse models have received significant attention in high-dimensional machine learning. In this paper, we study a new model consisting of a general convex or nonconvex objectives and a variety of continuous nonconvex…

最优化与控制 · 数学 2020-10-26 Digvijay Boob , Qi Deng , Guanghui Lan , Yilin Wang

Many tasks in data mining and related fields can be formalized as matching between objects in two heterogeneous domains, including collaborative filtering, link prediction, image tagging, and web search. Machine learning techniques,…

机器学习 · 计算机科学 2014-10-24 Jingbo Shang , Tianqi Chen , Hang Li , Zhengdong Lu , Yong Yu

We propose a penalized likelihood framework for estimating multiple precision matrices from different classes. Most existing methods either incorporate no information on relationships between the precision matrices, or require this…

机器学习 · 统计学 2020-03-03 Bradley S. Price , Aaron J. Molstad , Ben Sherwood

This paper proposes a precise signal recovery method with multilayered non-convex regularization, enhancing sparsity/low-rankness for high-dimensional signals including images and videos. In optimization-based signal recovery, multilayered…

信号处理 · 电气工程与系统科学 2024-09-24 Akari Katsuma , Seisuke Kyochi , Shunsuke Ono , Ivan Selesnick

Multi-Task Learning (MTL) can enhance a classifier's generalization performance by learning multiple related tasks simultaneously. Conventional MTL works under the offline or batch setting, and suffers from expensive training cost and poor…

机器学习 · 计算机科学 2017-06-28 Peng Yang , Peilin Zhao , Xin Gao

In the age of large and heterogeneous datasets, the integration of information from diverse sources is essential to improve parameter estimation. Multi-task learning offers a powerful approach by enabling simultaneous learning across…

统计方法学 · 统计学 2025-07-11 Sohom Bhattacharya , Yongzhuo Chen , Muxuan Liang

Multi-task learning (MTL) aims to improve the generalization performance of multiple tasks by exploiting the shared factors among them. Various metrics (e.g., F-score, Area Under the ROC Curve) are used to evaluate the performances of MTL…

机器学习 · 计算机科学 2022-10-13 Ge-Yang Ke , Yan Pan , Jian Yin , Chang-Qin Huang

Multi-task learning (MTL) is a subfield of machine learning in which multiple tasks are simultaneously learned by a shared model. Such approaches offer advantages like improved data efficiency, reduced overfitting through shared…

机器学习 · 计算机科学 2020-09-22 Michael Crawshaw

Sparse regularization techniques are well-established in machine learning, yet their application in neural networks remains challenging due to the non-differentiability of penalties like the $L_1$ norm, which is incompatible with stochastic…

机器学习 · 计算机科学 2025-02-10 Chris Kolb , Tobias Weber , Bernd Bischl , David Rügamer

Multi-task learning has the potential to improve generalization by maximizing positive transfer between tasks while reducing task interference. Fully achieving this potential is hindered by manually designed architectures that remain static…

机器学习 · 计算机科学 2023-05-02 Naresh Kumar Gurulingan , Bahram Zonooz , Elahe Arani

Convex regularizers are often used for sparse learning. They are easy to optimize, but can lead to inferior prediction performance. The difference of $\ell_1$ and $\ell_2$ ($\ell_{1-2}$) regularizer has been recently proposed as a nonconvex…

机器学习 · 计算机科学 2017-06-21 Quanming Yao , James T. Kwok , Xiawei Guo