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In the Multi-Armed Bandit (MAB) problem, there is a given set of arms with unknown reward models. At each time, a player selects one arm to play, aiming to maximize the total expected reward over a horizon of length T. An approach based on…

Optimization and Control · Mathematics 2013-03-12 Sattar Vakili , Keqin Liu , Qing Zhao

Crafting effective reward signals remains a central challenge in Reinforcement Learning (RL), especially for complex reasoning tasks. Existing automated reward optimization methods typically rely on derivative-free search heuristics that…

Artificial Intelligence · Computer Science 2026-05-14 Sitao Cheng , Tianle Li , Xuhan Huang , Xunjian Yin , Difan Zou

Although Large Language Models have advanced Automated Heuristic Design, treating algorithm evolution as a monolithic text generation task overlooks the coupling between discrete algorithmic structures and continuous numerical parameters.…

Artificial Intelligence · Computer Science 2026-02-10 Chentong Chen , Mengyuan Zhong , Ye Fan , Jialong Shi , Jianyong Sun

In recent years, to improve the evolutionary algorithms used to solve optimization problems involving a large number of decision variables, many attempts have been made to simplify the problem solution space of a given problem for the…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Liang Feng , Qingxia Shang , Yaqing Hou , Kay Chen Tan , Yew-Soon Ong

We develop the method of stochastic modified equations (SME), in which stochastic gradient algorithms are approximated in the weak sense by continuous-time stochastic differential equations. We exploit the continuous formulation together…

Machine Learning · Computer Science 2017-06-21 Qianxiao Li , Cheng Tai , Weinan E

The phenomenon of adversarial examples has been revealed in variant scenarios. Recent studies show that well-designed adversarial defense strategies can improve the robustness of deep learning models against adversarial examples. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Jialiang Sun , Wen Yao , Tingsong Jiang , Xiaoqian Chen

Based on probability density evolution method (PDEM) and Bayes law, a new filter strategy is proposed, in which the prior probability of system state of interest is predicted by solving the general density evolution equation (GDEE), the…

Signal Processing · Electrical Eng. & Systems 2021-07-21 Yazhou Xu

The performance of multi-objective evolutionary algorithms deteriorates appreciably in solving many-objective optimization problems which encompass more than three objectives. One of the known rationales is the loss of selection pressure…

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

The problem of path generation for the spherical 4R mechanism is solved using the Differential Evolution algorithm (DE). Formulas for the spherical geodesics are employed in order to obtain the parametric equation for the generated…

Computational Engineering, Finance, and Science · Computer Science 2012-09-06 F. Penunuri , R. Peon-Escalante , C. Villanueva , Carlos A. Cruz-Villar

The family of Expectation-Maximization (EM) algorithms provides a general approach to fitting flexible models for large and complex data. The expectation (E) step of EM-type algorithms is time-consuming in massive data applications because…

Computation · Statistics 2018-06-21 Sanvesh Srivastava , Glen DePalma , Chuanhai Liu

Artificial Bee Colony (ABC) is a distinguished optimization strategy that can resolve nonlinear and multifaceted problems. It is comparatively a straightforward and modern population based probabilistic approach for comprehensive…

Neural and Evolutionary Computing · Computer Science 2015-06-22 Sandeep Kumar , Vivek Kumar Sharma , Rajani Kumari

In the field of evolutionary multi-objective optimization, the approximation of the Pareto front (PF) is achieved by utilizing a collection of representative candidate solutions that exhibit desirable convergence and diversity. Although…

Neural and Evolutionary Computing · Computer Science 2024-07-10 Peng Chen , Jing Liang , Kangjia Qiao , Ponnuthurai Nagaratnam Suganthan , Xuanxuan Ban

Calibration of neural networks is a topical problem that is becoming more and more important as neural networks increasingly underpin real-world applications. The problem is especially noticeable when using modern neural networks, for which…

Machine Learning · Computer Science 2023-08-29 Ondrej Bohdal , Yongxin Yang , Timothy Hospedales

How to simultaneously locate multiple global peaks and achieve certain accuracy on the found peaks are two key challenges in solving multimodal optimization problems (MMOPs). In this paper, a landscape-aware differential evolution (LADE)…

Neural and Evolutionary Computing · Computer Science 2025-02-26 Guo-Yun Lin , Zong-Gan Chen , Chuanbin Liu , Yuncheng Jiang , Sam Kwong , Jun Zhang , Zhi-Hui Zhan

Evolution Strategies are inspired in biology and part of a larger research field known as Evolutionary Algorithms. Those strategies perform a random search in the space of admissible functions, aiming to optimize some given objective…

Optimization and Control · Mathematics 2007-12-30 Pedro A. F. Cruz , Delfim F. M. Torres

The efficiency of any metaheuristic algorithm largely depends on the way of balancing local intensive exploitation and global diverse exploration. Studies show that bat algorithm can provide a good balance between these two key components…

Optimization and Control · Mathematics 2014-08-25 Xin-She Yang , Suash Deb , Simon Fong

We show that the algorithm to extract diverse M -solutions from a Conditional Random Field (called divMbest [1]) takes exactly the form of a Herding procedure [2], i.e. a deterministic dynamical system that produces a sequence of hypotheses…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 Ece Ozkan , Gemma Roig , Orcun Goksel , Xavier Boix

Neuroevolution is an active and growing research field, especially in times of increasingly parallel computing architectures. Learning methods for Artificial Neural Networks (ANN) can be divided into two groups. Neuroevolution is mainly…

Neural and Evolutionary Computing · Computer Science 2011-04-11 Onay Urfalioglu , Orhan Arikan

Binary matrix optimization commonly arise in the real world, e.g., multi-microgrid network structure design problem (MGNSDP), which is to minimize the total length of the power supply line under certain constraints. Finding the global…

Neural and Evolutionary Computing · Computer Science 2023-11-27 Wenhua Li , Shengjun Huang , Tao Zhang , Rui Wang , Ling Wang

Optimizing functions without access to gradients is the remit of black-box methods such as evolution strategies. While highly general, their learning dynamics are often times heuristic and inflexible - exactly the limitations that…

Neural and Evolutionary Computing · Computer Science 2023-03-03 Robert Tjarko Lange , Tom Schaul , Yutian Chen , Tom Zahavy , Valentin Dallibard , Chris Lu , Satinder Singh , Sebastian Flennerhag