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The data-compatibility approach to constrained optimization, proposed here, strives to a point that is "close enough" to the solution set and whose target function value is "close enough" to the constrained minimum value. These notions can…

Optimization and Control · Mathematics 2020-10-26 Yair Censor , Maroun Zaknoon , Alexander J. Zaslavski

Much of the focus in machine learning research is placed in creating new architectures and optimization methods, but the overall loss function is seldom questioned. This paper interprets machine learning from a multi-objective optimization…

Machine Learning · Statistics 2015-07-22 Conrado Silva Miranda , Fernando José Von Zuben

Recently, several works have shown that natural modifications of the classical conditional gradient method (aka Frank-Wolfe algorithm) for constrained convex optimization, provably converge with a linear rate when: i) the feasible set is a…

Optimization and Control · Mathematics 2016-05-23 Dan Garber , Ofer Meshi

We address the optimization problem of simultaneously minimizing multiple objective functionals over a family of probability distributions. This type of Multi-Objective Distributional Optimization commonly arises in machine learning and…

Machine Learning · Computer Science 2025-05-27 Dai Hai Nguyen , Hiroshi Mamitsuka , Atsuyoshi Nakamura

In this paper, a globally convergent Newton-type proximal gradient method is developed for composite multi-objective optimization problems where each objective function can be represented as the sum of a smooth function and a nonsmooth…

Optimization and Control · Mathematics 2024-10-25 Md Abu Talhamainuddin Ansary

Multi-objective orienteering problems (MO-OPs) are classical multi-objective routing problems and have received a lot of attention in the past decades. This study seeks to solve MO-OPs through a problem-decomposition framework, that is, a…

Neural and Evolutionary Computing · Computer Science 2022-06-22 Wei Liu , Rui Wang , Tao Zhang , Kaiwen Li , Wenhua Li , Hisao Ishibuchi

In this paper we consider large-scale composite optimization problems having the objective function formed as a sum of two terms (possibly nonconvex), one has (block) coordinate-wise Lipschitz continuous gradient and the other is…

Optimization and Control · Mathematics 2024-01-10 Flavia Chorobura , Ion Necoara

The weighted sum method is a simple and widely used technique that scalarizes multiple conflicting objectives into a single objective function. It suffers from the problem of determining the appropriate weights corresponding to the…

Artificial Intelligence · Computer Science 2020-05-07 Romit S Beed , Sunita Sarkar , Arindam Roy , Durba Bhattacharya

Object pose estimation is a long-standing problem in computer vision. Recently, attention-based vision transformer models have achieved state-of-the-art results in many computer vision applications. Exploiting the permutation-invariant…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Arul Selvam Periyasamy , Vladimir Tsaturyan , Sven Behnke

Discriminative representation is crucial for the association step in multi-object tracking. Recent work mainly utilizes features in single or neighboring frames for constructing metric loss and empowering networks to extract representation…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 En Yu , Zhuoling Li , Shoudong Han

It is increasingly common to encounter prediction tasks in the biomedical sciences for which multiple datasets are available for model training. Common approaches such as pooling datasets and applying standard statistical learning methods…

Machine Learning · Statistics 2021-10-05 Gabriel Loewinger , Rolando Acosta Nunez , Rahul Mazumder , Giovanni Parmigiani

This paper addresses a distributed convex optimization problem with a class of coupled constraints, which arise in a multi-agent system composed of multiple communities modeled by cliques. First, we propose a fully distributed…

Optimization and Control · Mathematics 2022-11-21 Yuto Watanabe , Kazunori Sakurama

We propose a flexible gradient tracking approach with adjustable computation and communication steps for solving distributed stochastic optimization problem over networks. The proposed method allows each node to perform multiple local…

Optimization and Control · Mathematics 2023-06-13 Yan Huang , Jinming Xu

Although adaptive optimization algorithms have been successful in many applications, there are still some mysteries in terms of convergence analysis that have not been unraveled. This paper provides a novel non-convex analysis of adaptive…

Optimization and Control · Mathematics 2025-04-08 Zhishuai Guo , Yi Xu , Wotao Yin , Rong Jin , Tianbao Yang

In this paper, we introduce a new learning strategy based on a seminal idea of Mojirsheibani (1999, 2000, 2002a, 2002b), who proposed a smart method for combining several classifiers, relying on a consensus notion. In many aggregation…

Machine Learning · Statistics 2018-03-09 Aurélie Fischer , Mathilde Mougeot

Multi-modal multi-objective optimization aims to find all Pareto optimal solutions including overlapping solutions in the objective space. Multi-modal multi-objective optimization has been investigated in the evolutionary computation…

Neural and Evolutionary Computing · Computer Science 2020-09-29 Ryoji Tanabe , Hisao Ishibuchi

The paper presents a deep learning-aided iterative detection algorithm for massive overloaded MIMO systems. Since the proposed algorithm is based on the projected gradient descent method with trainable parameters, it is named as trainable…

Information Theory · Computer Science 2018-12-27 Satoshi Takabe , Masayuki Imanishi , Tadashi Wadayama , Kazunori Hayashi

Multi-view clustering (MVC) optimally integrates complementary information from different views to improve clustering performance. Although demonstrating promising performance in various applications, most of existing approaches directly…

Machine Learning · Computer Science 2022-08-03 Siwei Wang , Xinwang Liu , En Zhu

We consider optimization of composite objective functions, i.e., of the form $f(x)=g(h(x))$, where $h$ is a black-box derivative-free expensive-to-evaluate function with vector-valued outputs, and $g$ is a cheap-to-evaluate real-valued…

Machine Learning · Statistics 2019-06-05 Raul Astudillo , Peter I. Frazier

Anderson acceleration (or Anderson mixing) is an efficient acceleration method for fixed point iterations $x_{t+1}=G(x_t)$, e.g., gradient descent can be viewed as iteratively applying the operation $G(x) \triangleq x-\alpha\nabla f(x)$. It…

Optimization and Control · Mathematics 2020-03-03 Zhize Li , Jian Li
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