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This paper proposes an algorithmic framework for solving parametric optimization problems which we call adjoint-based predictor-corrector sequential convex programming. After presenting the algorithm, we prove a contraction estimate that…

Optimization and Control · Mathematics 2011-09-14 Q. Tran Dinh , C. Savorgnan , M. Diehl

We develop a sketching algorithm to find the point on the convex hull of a dataset, closest to a query point outside it. Studying the convex hull of datasets can provide useful information about their geometric structure and their…

Differential Geometry · Mathematics 2022-03-30 Roozbeh Yousefzadeh

Overparameterization and overfitting are common concerns when designing and training deep neural networks, that are often counteracted by pruning and regularization strategies. However, these strategies remain secondary to most learning…

Machine Learning · Computer Science 2020-09-01 Malena Reiners , Kathrin Klamroth , Michael Stiglmayr

With this paper, we contribute to the growing research area of feature-based analysis of bio-inspired computing. In this research area, problem instances are classified according to different features of the underlying problem in terms of…

Neural and Evolutionary Computing · Computer Science 2016-02-10 Shayan Poursoltan , Frank Neumann

Solving constrained multi-objective optimization problems with evolutionary algorithms has attracted considerable attention. Various constrained multi-objective optimization evolutionary algorithms (CMOEAs) have been developed with the use…

Artificial Intelligence · Computer Science 2024-02-21 Fei Ming , Wenyin Gong , Ling Wang , Yaochu Jin

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. Some evolutionary algorithms for multi-modal multi-objective optimization have been proposed in the literature. However,…

Neural and Evolutionary Computing · Computer Science 2020-10-02 Ryoji Tanabe , Hisao Ishibuchi

Constrained multi-objective optimization problems (CMOPs) are of great significance in the context of practical applications, ranging from scientific to engineering domains. Most existing constrained multi-objective evolutionary algorithms…

Neural and Evolutionary Computing · Computer Science 2026-03-18 Shuai Shao , Ye Tian , Shangshang Yang , Xingyi Zhang

The main feature of the Dynamic Multi-objective Optimization Problems (DMOPs) is that optimization objective functions will change with times or environments. One of the promising approaches for solving the DMOPs is reusing the obtained…

Neural and Evolutionary Computing · Computer Science 2019-10-22 Weizhen Hu , Min Jiang , Xing Gao , Kay Chen Tan , Yiu-ming Cheung

We propose an algorithm and a new method to tackle the classification problems. We propose a multi-output neural tree (MONT) algorithm, which is an evolutionary learning algorithm trained by the non-dominated sorting genetic algorithm…

Neural and Evolutionary Computing · Computer Science 2022-02-21 Varun Ojha , Giuseppe Nicosia

Choosing an appropriate optimization algorithm is essential to achieving success in optimization challenges. Here we present a new evolutionary algorithm structure that utilizes a reinforcement learning-based agent aimed at addressing these…

Neural and Evolutionary Computing · Computer Science 2024-04-18 Farajollah Tahernezhad-Javazm , Debbie Rankin , Naomi Du Bois , Alice E. Smith , Damien Coyle

Training a classifier under non-convex constraints has gotten increasing attention in the machine learning community thanks to its wide range of applications such as algorithmic fairness and class-imbalanced classification. However, several…

Machine Learning · Statistics 2022-10-31 You-Lin Chen , Zhaoran Wang , Mladen Kolar

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

Artificial Intelligence · Computer Science 2015-09-24 Shayan Poursoltan , Frank Neumann

Recent literature has demonstrated promising results for training Generative Adversarial Networks by employing a set of discriminators, in contrast to the traditional game involving one generator against a single adversary. Such methods…

Machine Learning · Computer Science 2019-01-28 Isabela Albuquerque , João Monteiro , Thang Doan , Breandan Considine , Tiago Falk , Ioannis Mitliagkas

The diverse world of machine learning applications has given rise to a plethora of algorithms and optimization methods, finely tuned to the specific regression or classification task at hand. We reduce the complexity of algorithm design for…

Optimization and Control · Mathematics 2016-05-23 Zeyuan Allen-Zhu , Elad Hazan

While working on a software specification, designers usually need to evaluate different architectural alternatives to be sure that quality criteria are met. Even when these quality aspects could be expressed in terms of multiple software…

Software Engineering · Computer Science 2024-01-10 Aurora Ramírez , José Raúl Romero , Sebastián Ventura

Region extraction is necessary in a wide range of applications, from object detection in autonomous driving to analysis of subcellular morphology in cell biology. There exist two main approaches: convex hull extraction, for which exact and…

Computational Geometry · Computer Science 2022-06-24 Kevin Christopher VanHorn , Murat Can Çobanoğlu

Convex approximation sets for multiobjective optimization problems are a well-studied relaxation of the common notion of approximation sets. Instead of approximating each image of a feasible solution by the image of some solution in the…

Optimization and Control · Mathematics 2023-06-13 Stephan Helfrich , Stefan Ruzika , Clemens Thielen

Classifiers are often utilized in time-constrained settings where labels must be assigned to inputs quickly. To address these scenarios, budgeted multi-stage classifiers (MSC) process inputs through a sequence of partial feature acquisition…

Neural and Evolutionary Computing · Computer Science 2021-12-06 Nolan H. Hamilton , Errin W. Fulp

A coreset is a subset of the training set, using which a machine learning algorithm obtains performances similar to what it would deliver if trained over the whole original data. Coreset discovery is an active and open line of research as…

Machine Learning · Computer Science 2020-02-21 Pietro Barbiero , Giovanni Squillero , Alberto Tonda

In this paper we study the problem of learning a shallow artificial neural network that best fits a training data set. We study this problem in the over-parameterized regime where the number of observations are fewer than the number of…

Machine Learning · Computer Science 2022-08-25 Mahdi Soltanolkotabi , Adel Javanmard , Jason D. Lee
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