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In this article we provide a comprehensive review of the different evolutionary algorithm techniques used to address multimodal optimization problems, classifying them according to the nature of their approach. On the one hand there are…

Neural and Evolutionary Computing · Computer Science 2015-08-24 Noe Casas

We present a framework wherein the trajectory optimization problem (or a problem involving calculus of variations) is formulated as a search problem in a discrete space. A distinctive feature of our work is the treatment of discretization…

Optimization and Control · Mathematics 2022-12-22 Alok Shukla , Prakash Vedula

A hybrid evolutionary algorithm with importance sampling method is proposed for multi-dimensional optimization problems in this paper. In order to make use of the information provided in the search process, a set of visited solutions is…

Neural and Evolutionary Computing · Computer Science 2013-08-26 Guanghui Huang , Zhifeng Pan

Quality-Diversity algorithms are powerful tools for discovering diverse, high-performing solutions. Recently, Multi-Objective Quality-Diversity (MOQD) extends QD to problems with several objectives while preserving solution diversity. MOQD…

Machine Learning · Computer Science 2025-04-08 Hannah Janmohamed , Antoine Cully

Model selection is a strategy aimed at creating accurate and robust models. A key challenge in designing these algorithms is identifying the optimal model for classifying any particular input sample. This paper addresses this challenge and…

Machine Learning · Computer Science 2023-05-22 James Kotary , Vincenzo Di Vito , Ferdinando Fioretto

Population diversity is crucial in evolutionary algorithms to enable global exploration and to avoid poor performance due to premature convergence. This book chapter reviews runtime analyses that have shown benefits of population diversity,…

Neural and Evolutionary Computing · Computer Science 2018-01-31 Dirk Sudholt

Fast and high quality document clustering is an important task in organizing information, search engine results obtaining from user query, enhancing web crawling and information retrieval. With the large amount of data available and with a…

Information Retrieval · Computer Science 2010-03-11 Alok Ranjan , Harish Verma , Eatesh Kandpal , Joydip Dhar

With the growth of data and necessity for distributed optimization methods, solvers that work well on a single machine must be re-designed to leverage distributed computation. Recent work in this area has been limited by focusing heavily on…

Machine Learning · Computer Science 2016-08-04 Chenxin Ma , Jakub Konečný , Martin Jaggi , Virginia Smith , Michael I. Jordan , Peter Richtárik , Martin Takáč

The blessing of ubiquitous data also comes with a curse: the communication, storage, and labeling of massive, mostly redundant datasets. We seek to solve this problem at its core, collecting only valuable data and throwing out the rest via…

Machine Learning · Computer Science 2023-12-18 Mariel Werner , Anastasios Angelopoulos , Stephen Bates , Michael I. Jordan

Evolutionary processes proved very useful for solving optimization problems. In this work, we build a formalization of the notion of cooperation and competition of multiple systems working toward a common optimization goal of the population…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Mark Burgin , Eugene Eberbach

Modularity has been widely studied as a mechanism to improve the capabilities of neural networks through various techniques such as hand-crafted modular architectures and automatic approaches. While these methods have sometimes shown…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Humphrey Munn , Marcus Gallagher

We present a practical and powerful new framework for both unconstrained and constrained submodular function optimization based on discrete semidifferentials (sub- and super-differentials). The resulting algorithms, which repeatedly compute…

Data Structures and Algorithms · Computer Science 2013-08-13 Rishabh Iyer , Stefanie Jegelka , Jeff Bilmes

Quality-Diversity (QD) algorithms are powerful exploration algorithms that allow robots to discover large repertoires of diverse and high-performing skills. However, QD algorithms are sample inefficient and require millions of evaluations.…

Machine Learning · Computer Science 2022-07-21 Bryan Lim , Luca Grillotti , Lorenzo Bernasconi , Antoine Cully

The encoding of solutions in black-box optimization is a delicate, handcrafted balance between expressiveness and domain knowledge -- between exploring a wide variety of solutions, and ensuring that those solutions are useful. Our main…

Neural and Evolutionary Computing · Computer Science 2020-07-07 Adam Gaier , Alexander Asteroth , Jean-Baptiste Mouret

The rapid growth of digital data has heightened the demand for efficient lossless compression methods. However, existing algorithms exhibit trade-offs: some achieve high compression ratios, others excel in encoding or decoding speed, and…

Information Theory · Computer Science 2025-10-01 Md. Atiqur Rahman , MM Fazle Rabbi

Quality diversity (QD) algorithms have shown to provide sets of high quality solutions for challenging problems in robotics, games, and combinatorial optimisation. So far, theoretical foundational explaining their good behaviour in practice…

Artificial Intelligence · Computer Science 2024-12-17 Duc-Cuong Dang , Aneta Neumann , Frank Neumann , Andre Opris , Dirk Sudholt

In the real world, there exist a class of optimization problems that multiple (local) optimal solutions in the solution space correspond to a single point in the objective space. In this paper, we theoretically show that for such multimodal…

Neural and Evolutionary Computing · Computer Science 2024-06-06 Shengjie Ren , Zhijia Qiu , Chao Bian , Miqing Li , Chao Qian

An important benefit of multi-objective search is that it maintains a diverse population of candidates, which helps in deceptive problems in particular. Not all diversity is useful, however: candidates that optimize only one objective while…

Neural and Evolutionary Computing · Computer Science 2019-08-06 Hormoz Shahrzad , Babak Hodjat , Camille Dollé , Andrei Denissov , Simon Lau , Donn Goodhew , Justin Dyer , Risto Miikkulainen

In this paper we introduce a new classification algorithm called Optimization of Distributions Differences (ODD). The algorithm aims to find a transformation from the feature space to a new space where the instances in the same class are as…

Machine Learning · Computer Science 2017-03-06 Mohammad Reza Bonyadi , Quang M. Tieng , David C. Reutens

With the development of fast and massively parallel evaluations in many domains, Quality-Diversity (QD) algorithms, that already proved promising in a large range of applications, have seen their potential multiplied. However, we have yet…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Manon Flageat , Bryan Lim , Antoine Cully