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This paper presents a computational framework for the Wasserstein auto-encoding of merge trees (MT-WAE), a novel extension of the classical auto-encoder neural network architecture to the Wasserstein metric space of merge trees. In contrast…

Machine Learning · Computer Science 2023-11-13 Mahieu Pont , Julien Tierny

Optimization algorithms are very different from human optimizers. A human being would gain more experiences through problem-solving, which helps her/him in solving a new unseen problem. Yet an optimization algorithm never gains any…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Xunzhao Yu , Yan Wang , Ling Zhu , Dimitar Filev , Xin Yao

Policy optimization is a core component of reinforcement learning (RL), and most existing RL methods directly optimize parameters of a policy based on maximizing the expected total reward, or its surrogate. Though often achieving…

Machine Learning · Computer Science 2018-08-10 Ruiyi Zhang , Changyou Chen , Chunyuan Li , Lawrence Carin

The optimization of dynamic problems is both widespread and difficult. When conducting dynamic optimization, a balance between reinitialization and computational expense has to be found. There are multiple approaches to this. In parallel…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter , Christoph Waldhauser

We study the role of latent space dimensionality in Wasserstein auto-encoders (WAEs). Through experimentation on synthetic and real datasets, we argue that random encoders should be preferred over deterministic encoders. We highlight the…

Machine Learning · Statistics 2018-02-13 Paul K. Rubenstein , Bernhard Schoelkopf , Ilya Tolstikhin

Evolution is the theory that plants and animals today have come from kinds that have existed in the past. Scientists such as Charles Darwin and Alfred Wallace dedicate their life to observe how species interact with their environment, grow,…

Neural and Evolutionary Computing · Computer Science 2022-09-16 Manasa Josyula

Real-world optimization problems often involve stochastic and dynamic components. Evolutionary algorithms are particularly effective in these scenarios, as they can easily adapt to uncertain and changing environments but often uncertainty…

Neural and Evolutionary Computing · Computer Science 2024-04-10 Ishara Hewa Pathiranage , Frank Neumann , Denis Antipov , Aneta Neumann

Online algorithm selection (OAS) aims to adapt the optimization process to changes in the fitness landscape and is expected to outperform any single algorithm from a given portfolio. Although this expectation is supported by numerous…

Neural and Evolutionary Computing · Computer Science 2026-04-10 Denis Antipov , Carola Doerr

Chance constrained optimization problems allow to model problems where constraints involving stochastic components should only be violated with a small probability. Evolutionary algorithms have been applied to this scenario and shown to…

Neural and Evolutionary Computing · Computer Science 2024-08-23 Frank Neumann , Carsten Witt

The performance of multiobjective evolutionary algorithms (MOEAs) varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

We consider the expected runtime of non-elitist evolutionary algorithms (EAs), when they are applied to a family of fitness functions with a plateau of second-best fitness in a Hamming ball of radius r around a unique global optimum. On one…

Neural and Evolutionary Computing · Computer Science 2020-08-20 Anton V. Eremeev

The iterative search process of evolutionary algorithms (EAs) encapsulates optimization knowledge within historical populations and fitness evaluations. Effective utilization of this knowledge is crucial for facilitating knowledge transfer…

Neural and Evolutionary Computing · Computer Science 2026-04-22 Chao Wang , Lingling Li , Licheng Jiao , Jiaxuan Zhao , Fang Liu , Shuyuan Yang

Whale Optimization Algorithm (WOA) is a nature-inspired meta-heuristic optimization algorithm, which was proposed by Mirjalili and Lewis in 2016. This algorithm has shown its ability to solve many problems. Comprehensive surveys have been…

Neural and Evolutionary Computing · Computer Science 2019-04-25 Hardi M. Mohammed , Shahla U. Umar , Tarik A. Rashid

In [1], we have explored the theoretical aspects of feature selection and evolutionary algorithms. In this chapter, we focus on optimization algorithms for enhancing data analytic process, i.e., we propose to explore applications of…

Machine Learning · Computer Science 2019-08-26 Farid Ghareh Mohammadi , M. Hadi Amini , Hamid R. Arabnia

Evolutionary optimisation algorithm is employed to design networks of phase-repulsive oscillators that achieve an anti-phase synchronised state. By introducing the link frustration, the evolutionary process is implemented by rewiring the…

Statistical Mechanics · Physics 2012-11-21 Zoran Levnajić

Known as two cornerstones of problem solving by search, exploitation and exploration are extensively discussed for implementation and application of evolutionary algorithms (EAs). However, only a few researches focus on evaluation and…

Neural and Evolutionary Computing · Computer Science 2020-01-30 Yu Chen , Jun He

Operational maturity of biological control systems have fuelled the inspiration for a large number of mathematical and logical models for control, automation and optimisation. The human brain represents the most sophisticated control…

Neural and Evolutionary Computing · Computer Science 2017-09-13 Shubham Dokania , Ayush Chopra , Feroz Ahmad , Anil Singh Parihar

Optimal transport (OT) provides powerful tools for comparing probability measures in various types. The Wasserstein distance which arises naturally from the idea of OT is widely used in many machine learning applications. Unfortunately,…

Optimization and Control · Mathematics 2021-06-03 Shu Liu , Haodong Sun , Hongyuan Zha

Many kinds of Evolutionary Algorithms (EAs) have been described in the literature since the last 30 years. However, though most of them share a common structure, no existing software package allows the user to actually shift from one model…

Neural and Evolutionary Computing · Computer Science 2011-11-10 Pierre Collet , Marc Schoenauer

Evolutionary algorithms (EAs) are very popular tools to design and evolve artificial neural networks (ANNs), especially to train them. These methods have advantages over the conventional backpropagation (BP) method because of their low…

Neural and Evolutionary Computing · Computer Science 2015-02-03 James J. Q. Yu , Albert Y. S. Lam , Victor O. K. Li