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In this paper, we develop an ensemble-based time-stepping algorithm to efficiently find numerical solutions to a group of linear, second-order parabolic partial differential equations (PDEs). Particularly, the PDE models in the group could…

Numerical Analysis · Mathematics 2017-10-18 Yan Luo , Zhu Wang

The 0-1 Multidimensional Knapsack Problem (MKP) is a classical NP-hard combinatorial optimization problem with many engineering applications. In this paper, we propose a novel algorithm combining evolutionary computation with the exact…

Artificial Intelligence · Computer Science 2024-07-23 Jitao Xu , Hongbo Li , Minghao Yin

In this paper, we propose a improved 2D-PEH based on double prediction-error. First,different from previous 2D-PEH, the proposed 2D-DPEH is established by selecting two distinct predictors with low correlation to calculate double prediction…

Information Theory · Computer Science 2023-08-30 Fangjian Shen , Yicheng Zheng , Songyou Li

The performance of deep neural networks, such as Deep Belief Networks formed by Restricted Boltzmann Machines (RBMs), strongly depends on their training, which is the process of adjusting their parameters. This process can be posed as an…

Neural and Evolutionary Computing · Computer Science 2019-07-16 S. Ivvan Valdez , Alfonso Rojas-Domínguez

The majority of research on estimation-of-distribution algorithms (EDAs) concentrates on pseudo-Boolean optimization and permutation problems, leaving the domain of EDAs for problems in which the decision variables can take more than two…

Neural and Evolutionary Computing · Computer Science 2024-05-21 Firas Ben Jedidia , Benjamin Doerr , Martin S. Krejca

Optimizing a set of functions simultaneously by leveraging their similarity is called multi-task optimization. Current black-box multi-task algorithms only solve a finite set of tasks, even when the tasks originate from a continuous space.…

Neural and Evolutionary Computing · Computer Science 2024-04-05 Timothée Anne , Jean-Baptiste Mouret

Multi-objective optimization (MOO) has received growing attention in applications that require learning under multiple criteria. However, the existing MOO formulations do not explicitly account for distributional shifts in the data. We…

Machine Learning · Computer Science 2026-05-08 Yufeng Yang , Fangning Zhuo , Ziyi Chen , Heng Huang , Yi Zhou

This paper develops an algorithmic framework for real-time optimization of distribution-level distributed energy resources (DERs). The proposed framework optimizes the operation of both DERs that are individually controllable and groups of…

Optimization and Control · Mathematics 2019-02-28 Andrey Bernstein , Emiliano Dall'Anese

We focus on the challenge of finding a diverse collection of quality solutions on complex continuous domains. While quality diver-sity (QD) algorithms like Novelty Search with Local Competition (NSLC) and MAP-Elites are designed to generate…

Machine Learning · Computer Science 2020-05-08 Matthew C. Fontaine , Julian Togelius , Stefanos Nikolaidis , Amy K. Hoover

One of the most challenging types of ill-posedness in global optimization is the presence of insensitivity regions in design parameter space, so the identification of their shape will be crucial, if ill-posedness is irrecoverable. Such…

Neural and Evolutionary Computing · Computer Science 2019-05-20 Jakub Sawicki , Maciej Smołka , Marcin Łoś , Robert Schaefer

Existing studies on dynamic multi-objective optimization focus on problems with time-dependent objective functions, while the ones with a changing number of objectives have rarely been considered in the literature. Instead of changing the…

Neural and Evolutionary Computing · Computer Science 2017-02-20 Renzhi Chen , Ke Li , Xin Yao

This paper presents a cumulative multi-niching genetic algorithm (CMN GA), designed to expedite optimization problems that have computationally-expensive multimodal objective functions. By never discarding individuals from the population,…

Neural and Evolutionary Computing · Computer Science 2013-04-03 Matthew Hall

The algorithms of multi-objective optimisation had a relative growth in the last years. Thereby, it's requires some way of comparing the results of these. In this sense, performance measures play a key role. In general, it's considered some…

Neural and Evolutionary Computing · Computer Science 2018-10-30 Thiago Santos , Sebastiao Xavier

Asynchronous parallel optimization algorithms for solving large-scale machine learning problems have drawn significant attention from academia to industry recently. This paper proposes a novel algorithm, decoupled asynchronous proximal…

Optimization and Control · Mathematics 2016-05-24 Yitan Li , Linli Xu , Xiaowei Zhong , Qing Ling

Inverted Generational Distance (IGD) has been widely considered as a reliable performance indicator to concurrently quantify the convergence and diversity of multi- and many-objective evolutionary algorithms. In this paper, an IGD…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Yanan Sun , Gary G. Yen , Zhang Yi

Dynamic Multi-objective Optimization Problems (DMOPs) refer to optimization problems that objective functions will change with time. Solving DMOPs implies that the Pareto Optimal Set (POS) at different moments can be accurately found, and…

Artificial Intelligence · Computer Science 2019-10-22 Min Jiang , Weizhen Hu , Liming Qiu , Minghui Shi , Kay Chen Tan

In this manuscript, we present a collective multigrid algorithm to solve efficiently the large saddle-point systems of equations that typically arise in PDE-constrained optimization under uncertainty, and develop a novel convergence…

Optimization and Control · Mathematics 2024-05-20 Gabriele Ciaramella , Fabio Nobile , Tommaso Vanzan

This paper proposes a novel memetic algorithm (MA) for the blind equalization of digital multiuser channels with Direct-Sequence / Code-Division Multiple-Access (DS/CDMA) sharing scheme. Equalization involves two different tasks, the…

Signal Processing · Electrical Eng. & Systems 2024-12-18 Luis M. San-José-Revuelta , Pablo Casaseca-de-la-Higuera

This paper introduces a novel numerical method for the inverse problem of electroencephalography(EEG). We pose the inverse EEG problem as an optimal control (OC) problem for Poisson's equation. The optimality conditions lead to a…

Numerical Analysis · Mathematics 2022-04-15 M. S. Malovichko , N. B. Yavich , A. M. Razorenova , N. A. Koshev

The present work proposes hybridization of Expectation-Maximization (EM) and K-Means techniques as an attempt to speed-up the clustering process. Though both K-Means and EM techniques look into different areas, K-means can be viewed as an…

Machine Learning · Computer Science 2016-03-28 D. Raja Kishor , N. B. Venkateswarlu
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