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Support vector machines (SVMs) are successful modeling and prediction tools with a variety of applications. Previous work has demonstrated the superiority of the SVMs in dealing with the high dimensional, low sample size problems. However,…

Optimization and Control · Mathematics 2021-02-04 Dunbiao Niu , Chengjing Wang , Peipei Tang , Qingsong Wang , Enbin Song

We propose a stochastic conditional gradient method (CGM) for minimizing convex finite-sum objectives formed as a sum of smooth and non-smooth terms. Existing CGM variants for this template either suffer from slow convergence rates, or…

Machine Learning · Computer Science 2022-04-19 Gideon Dresdner , Maria-Luiza Vladarean , Gunnar Rätsch , Francesco Locatello , Volkan Cevher , Alp Yurtsever

This paper deals with an extension of the Support Vector Machine (SVM) for classification problems where, in addition to maximize the margin, i.e., the width of strip defined by the two supporting hyperplanes, the minimum of the ordered…

Optimization and Control · Mathematics 2021-07-15 Alfredo Marín , Luisa I. Martínez-Merino , Justo Puerto , Antonio M. Rodríguez-Chía

We consider the augmented Lagrangian method (ALM) as a solver for the fused lasso signal approximator (FLSA) problem. The ALM is a dual method in which squares of the constraint functions are added as penalties to the Lagrangian. In order…

Computation · Statistics 2010-05-28 Heng Lian

Recent advances in fine-grained recognition utilize attention maps to localize objects of interest. Although there are many ways to generate attention maps, most of them rely on sophisticated loss functions or complex training processes. In…

Computer Vision and Pattern Recognition · Computer Science 2018-11-28 Wei Shen , Rujie Liu

This paper addresses the problem of efficiently classifying high-dimensional data over decentralized networks. Penalized support vector machines (SVMs) are widely used for high-dimensional classification tasks. However, the double…

Machine Learning · Statistics 2025-03-11 Canyi Chen , Nan Qiao , Liping Zhu

Exemplar-free class-incremental learning (EFCIL) presents a significant challenge as the old class samples are absent for new task learning. Due to the severe imbalance between old and new class samples, the learned classifiers can be…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Zhongren Yao , Xiaobin Chang

Learning accurate dynamics models is necessary for optimal, compliant control of robotic systems. Current approaches to white-box modeling using analytic parameterizations, or black-box modeling using neural networks, can suffer from high…

Robotics · Computer Science 2019-03-05 Jayesh K. Gupta , Kunal Menda , Zachary Manchester , Mykel J. Kochenderfer

We introduce an efficient method for training the linear ranking support vector machine. The method combines cutting plane optimization with red-black tree based approach to subgradient calculations, and has O(m*s+m*log(m)) time complexity,…

Machine Learning · Statistics 2022-02-07 Antti Airola , Tapio Pahikkala , Tapio Salakoski

Support vector machine (SVM) is a popular classifier known for accuracy, flexibility, and robustness. However, its intensive computation has hindered its application to large-scale datasets. In this paper, we propose a new optimal leverage…

Methodology · Statistics 2023-08-25 Yixin Han , Jun Yu , Nan Zhang , Cheng Meng , Ping Ma , Wenxuan Zhong , Changliang Zou

Semi-Lagrangian (SL) schemes are known as a major numerical tool for solving transport equations with many advantages and have been widely deployed in the fields of computational fluid dynamics, plasma physics modeling, numerical weather…

Numerical Analysis · Mathematics 2023-08-09 Yongsheng Chen , Wei Guo , Xinghui Zhong

Reinforcement Learning (RL) algorithms allow artificial agents to improve their action selections so as to increase rewarding experiences in their environments. Deep Reinforcement Learning algorithms require solving a nonconvex and…

Machine Learning · Computer Science 2019-04-18 Jacob Rafati , Roummel F. Marcia

One of the major challenges in training deep architectures for predictive tasks is the scarcity and cost of labeled training data. Active Learning (AL) is one way of addressing this challenge. In stream-based AL, observations are…

Machine Learning · Computer Science 2019-09-05 Andreas Kvistad , Massimiliano Ruocco , Eliezer de Souza da Silva , Erlend Aune

Learning to Optimize (LtO) is a problem setting in which a machine learning (ML) model is trained to emulate a constrained optimization solver. Learning to produce optimal and feasible solutions subject to complex constraints is a difficult…

Machine Learning · Computer Science 2024-03-18 James Kotary , Ferdinando Fioretto

Using a support vector machine requires to set two types of hyperparameters: the soft margin parameter C and the parameters of the kernel. To perform this model selection task, the method of choice is cross-validation. Its leave-one-out…

Machine Learning · Computer Science 2008-12-18 Emmanuel Monfrini , Yann Guermeur

Support vector machine (SVM) has been one of the most popular learning algorithms, with the central idea of maximizing the minimum margin, i.e., the smallest distance from the instances to the classification boundary. Recent theoretical…

Machine Learning · Computer Science 2014-05-26 Teng Zhang , Zhi-Hua Zhou

With the rapid development of natural language processing technology, large-scale language models (LLM) have achieved remarkable results in a variety of tasks. However, how to effectively train these huge models and improve their…

Artificial Intelligence · Computer Science 2024-12-09 Jiajing Chen , Bingying Liu , Xiaoxuan Liao , Jia Gao , Hongye Zheng , Yue Li

We study exact active learning of binary and multiclass classifiers with margin. Given an $n$-point set $X \subset \mathbb{R}^m$, we want to learn any unknown classifier on $X$ whose classes have finite strong convex hull margin, a new…

Machine Learning · Computer Science 2022-09-12 Marco Bressan , Nicolò Cesa-Bianchi , Silvio Lattanzi , Andrea Paudice , Maximilian Thiessen

Motivated by big data applications, first-order methods have been extremely popular in recent years. However, naive gradient methods generally converge slowly. Hence, much efforts have been made to accelerate various first-order methods.…

Optimization and Control · Mathematics 2016-06-30 Yangyang Xu

As fine-grained visual classification (FGVC) being developed for decades, great works related have exposed a key direction -- finding discriminative local regions and revealing subtle differences. However, unlike identifying visual contents…

Computer Vision and Pattern Recognition · Computer Science 2022-06-03 Ruoyi Du , Wenqing Yu , Heqing Wang , Dongliang Chang , Ting-En Lin , Yongbin Li , Zhanyu Ma