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When applying machine learning to problems in NLP, there are many choices to make about how to represent input texts. These choices can have a big effect on performance, but they are often uninteresting to researchers or practitioners who…

Computation and Language · Computer Science 2015-03-03 Dani Yogatama , Noah A. Smith

Global optimization of expensive functions has important applications in physical and computer experiments. It is a challenging problem to develop efficient optimization scheme, because each function evaluation can be costly and the…

Machine Learning · Statistics 2020-01-22 Ray-Bing Chen , Yuan Wang , C. F. Jeff Wu

Optimization of problems with high computational power demands is a challenging task. A probabilistic approach to such optimization called Bayesian optimization lowers performance demands by solving mathematically simpler model of the…

Machine Learning · Computer Science 2021-01-27 Jakub Klus , Pavel Grunt , Martin Dobrovolný

We propose a generalization of separability in the context of global optimization. Our results apply to objective functions implemented as differentiable computer programs. They are presented in the context of a simple branch and bound…

Optimization and Control · Mathematics 2023-05-10 Jens Deussen , Uwe Naumann

In this paper, we deal with a network of agents that want to cooperatively minimize the sum of local cost functions depending on a common decision variable. We consider the challenging scenario in which objective functions are unknown and…

Optimization and Control · Mathematics 2024-11-08 Nicola Mimmo , Guido Carnevale , Andrea Testa , Giuseppe Notarstefano

Evolutionary search has been extensively used to generate artistic images. Raw images have high dimensionality which makes a direct search for an image challenging. In previous work this problem has been addressed by using compact symbolic…

Neural and Evolutionary Computing · Computer Science 2018-02-16 Aneta Neumann , Christo Pyromallis , Bradley Alexander

Optimization problems involving mixed variables (i.e., variables of numerical and categorical nature) can be challenging to solve, especially in the presence of mixed-variable constraints. Moreover, when the objective function is the result…

Optimization and Control · Mathematics 2024-12-12 Mengjia Zhu , Alberto Bemporad

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

We propose a new distributed optimization algorithm for solving a class of constrained optimization problems in which (a) the objective function is separable (i.e., the sum of local objective functions of agents), (b) the optimization…

Optimization and Control · Mathematics 2021-06-16 Van Sy Mai , Richard J. La , Tao Zhang , Abdella Battou

This paper deals with estimating model parameters in graphical models. We reformulate it as an information geometric optimization problem and introduce a natural gradient descent strategy that incorporates additional meta parameters. We…

Machine Learning · Computer Science 2019-05-15 Eric Benhamou , Jamal Atif , Rida Laraki , David Saltiel

In this paper, we present a generic framework to extend existing uniformly optimal convex programming algorithms to solve more general nonlinear, possibly nonconvex, optimization problems. The basic idea is to incorporate a local search…

Optimization and Control · Mathematics 2015-10-27 Saeed Ghadimi , Guanghui Lan , Hongchao Zhang

The advancement of artificial intelligence has cast a new light on the development of optimization algorithm. This paper proposes to learn a two-phase (including a minimization phase and an escaping phase) global optimization algorithm for…

Machine Learning · Computer Science 2020-03-11 Haotian Zhang , Jianyong Sun , Zongben Xu

Traditional optimization algorithms search for a single global optimum that maximizes (or minimizes) the objective function. Multimodal optimization algorithms search for the highest peaks in the search space that can be more than one.…

Neural and Evolutionary Computing · Computer Science 2020-12-18 Konstantinos Chatzilygeroudis , Antoine Cully , Vassilis Vassiliades , Jean-Baptiste Mouret

In this paper we define a discrete dynamical system that governs the evolution of a population of agents. From the dynamical system, a variant of Differential Evolution is derived. It is then demonstrated that, under some assumptions on the…

Computational Engineering, Finance, and Science · Computer Science 2016-11-17 Massimiliano Vasile , Edmondo Minisci , Marco Locatelli

Bayesian optimization (BO) is a popular global optimization scheme for sample-efficient optimization in domains with expensive function evaluations. The existing BO techniques are capable of finding a single global optimum solution.…

Optimization and Control · Mathematics 2023-08-08 Yongsheng Mei , Tian Lan , Mahdi Imani , Suresh Subramaniam

A recent novel extension of multi-output Gaussian processes handles heterogeneous outputs assuming that each output has its own likelihood function. It uses a vector-valued Gaussian process prior to jointly model all likelihoods' parameters…

Machine Learning · Statistics 2020-07-15 Juan-José Giraldo , Mauricio A. Álvarez

This paper presents a new complex optimization problem in the field of automatic design of advanced industrial systems and proposes a hybrid optimization approach to solve the problem. The problem is multi-objective as it aims at finding…

Neural and Evolutionary Computing · Computer Science 2025-05-29 Václav Jirkovský , Jiří Kubalík , Petr Kadera , Arnd Schirrmann , Andreas Mitschke , Andreas Zindel

Different activation functions work best for different deep learning models. To exploit this, we leverage recent advancements in gradient-based search techniques for neural architectures to efficiently identify high-performing activation…

Machine Learning · Computer Science 2024-08-14 Lukas Strack , Mahmoud Safari , Frank Hutter

Many large-scale constrained optimization problems can be formulated as bilevel distributed optimization tasks over undirected networks, where agents collaborate to minimize a global cost function while adhering to constraints, relying only…

Optimization and Control · Mathematics 2025-11-25 Ajay Tak , Mayank Baranwal

Distributed optimization utilizes local computation and communication to realize a global aim of optimizing the sum of local objective functions. This article addresses a class of constrained distributed nonconvex optimization problems…

Optimization and Control · Mathematics 2024-05-07 Zhiyu He , Jianping He , Cailian Chen , Xinping Guan