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The optimal dimensional synthesis for planar mechanisms using differential evolution (DE) is demonstrated. Four examples are included: in the first case, the synthesis of a mechanism for hybrid-tasks, considering path generation, function…

Computational Engineering, Finance, and Science · Computer Science 2015-03-18 F. Penunuri , R. Peon-Escalante , C. Villanueva , D. Pech-Oy

In the mechanisms area, minimization of the magnitude of the acceleration of the center of mass (ACoM) implies shaking force balancing. For a mechanism operating in cycles, the case when the ACoM is zero implies that the gravitational…

Computational Engineering, Finance, and Science · Computer Science 2015-04-07 O. Mendoza-Trejo , Carlos A. Cruz-Villar , R. Peón-Escalante , M. A. Zambrano-Arjona , F. Penunuri

Robots are widely used in industry due to their efficiency and high accuracy in performance. One of the most intriguing issues in manufacturing stage of production line is to minimize significantly high percentage of energy consumed by…

Robotics · Computer Science 2018-06-26 Sourya Dipta Das , Victor Bain , Pratyusha Rakshit

Differential Evolution (DE) is a renowned optimization stratagem that can easily solve nonlinear and comprehensive problems. DE is a well known and uncomplicated population based probabilistic approach for comprehensive optimization. It has…

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

Differential Evolution (DE) proved to be one of the most successful evolutionary algorithms for global optimization purposes in continuous problems. The core operator in DE is mutation which can provide the algorithm with both exploration…

Neural and Evolutionary Computing · Computer Science 2016-04-12 H. Sharifi Noghabi , H. Rajabi Mashhadi , K. Shojaei

The problem of maneuvering a vehicle through a race course in minimum time requires computation of both longitudinal (brake and throttle) and lateral (steering wheel) control inputs. Unfortunately, solving the resulting nonlinear optimal…

Robotics · Computer Science 2019-02-05 Nitin R. Kapania , John Subosits , J Christian Gerdes

In the context of industrial engineering, it is important to integrate efficient computational optimization methods in the product development process. Some of the most challenging simulation-based engineering design optimization problems…

Neural and Evolutionary Computing · Computer Science 2018-07-13 Ramses Sala , Niccolo Baldanzini , Marco Pierini

In this paper, we study spline trajectory generation via the solution of two optimisation problems: (i) a quadratic program (QP) with linear equality constraints and (ii) a nonlinear and nonconvex optimisation program. We propose an…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Declan Burke , Airlie Chapman , Iman Shames

Diffusion-based generative models use stochastic differential equations (SDEs) and their equivalent ordinary differential equations (ODEs) to establish a smooth connection between a complex data distribution and a tractable prior…

Machine Learning · Computer Science 2024-08-25 Defang Chen , Zhenyu Zhou , Can Wang , Chunhua Shen , Siwei Lyu

The differential evolution algorithm is applied to solve the optimization problem to reconstruct the production function (inverse problem) for the spatial Solow mathematical model using additional measurements of the gross domestic product…

Optimization and Control · Mathematics 2019-04-25 Sergey Kabanikhin , Olga Krivorotko , Maktagali Bektemessov , Zholaman Bektemessov , Shuhua Zhang

This paper presents a smooth trajectory generation method for a four-degree-of-freedom parallel kinematic milling robot. The proposed approach integrates B-spline and Quaternion interpolation techniques to manage decoupled position and…

Robotics · Computer Science 2026-02-20 Sina Akhbari , Mehran Mahboubkhah

Differential Evolution (DE) is a highly successful population based global optimisation algorithm, commonly used for solving numerical optimisation problems. However, as the complexity of the objective function increases, the wall-clock…

Neural and Evolutionary Computing · Computer Science 2024-05-28 Dylan Janssen , Wayne Pullan , Alan Wee-Chung Liew

Differential evolution(DE) is a conventional algorithm with fast convergence speed. However, DE may be trapped in local optimal solution easily. Many researchers devote themselves to improving DE. In our previously work, whale swarm…

Neural and Evolutionary Computing · Computer Science 2019-09-05 Haozhen Dong , Liang Gao , Xinyu Li , Haoran Zhong , Bing Zeng

Heuristic optimisation algorithms are in high demand due to the overwhelming amount of complex optimisation problems that need to be solved. The complexity of these problems is well beyond the boundaries of applicability of exact…

Neural and Evolutionary Computing · Computer Science 2021-05-12 Bas van Stein , Fabio Caraffini , Anna V. Kononova

Feedback motion planning over cell decompositions provides a robust method for generating collision-free robot motion with formal guarantees. However, existing algorithms often produce paths with unnecessary bending, leading to slower…

Robotics · Computer Science 2026-04-16 Aref Amiri , Steven M. LaValle

This paper introduces a differential dynamic programming (DDP) based framework for polynomial trajectory generation for differentially flat systems. In particular, instead of using a linear equation with increasing size to represent…

Optimization and Control · Mathematics 2021-09-13 Kun Cao , Muqing Cao , Shenghai Yuan , Lihua Xie

Diffusion-based generative models employ stochastic differential equations (SDEs) and their equivalent probability flow ordinary differential equations (ODEs) to establish a smooth transformation between complex high-dimensional data…

Machine Learning · Computer Science 2025-12-12 Defang Chen , Zhenyu Zhou , Can Wang , Siwei Lyu

Trajectory generation and trajectory prediction are two critical tasks in autonomous driving, which generate various trajectories for testing during development and predict the trajectories of surrounding vehicles during operation,…

Machine Learning · Computer Science 2024-03-26 Ruochen Jiao , Yixuan Wang , Xiangguo Liu , Chao Huang , Qi Zhu

Complex single-objective bounded problems are often difficult to solve. In evolutionary computation methods, since the proposal of differential evolution algorithm in 1997, it has been widely studied and developed due to its simplicity and…

Neural and Evolutionary Computing · Computer Science 2024-04-26 Sichen Tao , Ruihan Zhao , Kaiyu Wang , Shangce Gao

Differential evolution (DE) is a well-known type of evolutionary algorithms (EA). Similarly to other EA variants it can suffer from small populations and loose diversity too quickly. This paper presents a new approach to mitigate this…

Neural and Evolutionary Computing · Computer Science 2020-02-10 Jakub M. Tomczak , Ewelina Weglarz-Tomczak , Agoston E. Eiben
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