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In the imprecise geometry model, the input is an imprecise point set, which is a family of regions $F = (R_1, \ldots,R_n)$, where for each $R_i$ one may retrieve the true point $p_i \in R_i$. By preprocessing $F$, we can construct the…

In the current work, we have formulated the optimal bit-allocation problem for a scalable codec of images or videos as a constrained vector-valued optimization problem and demonstrated that there can be many optimal solutions, called Pareto…

Information Theory · Computer Science 2016-03-03 Wen-Liang Hwang

In pursuit of the time-optimal path tracking (TOPT) trajectory of a robot manipulator along a preset path, a beforehand identified robot dynamic model is usually used to obtain the required optimal trajectory for perfect tracking. However,…

Robotics · Computer Science 2019-08-06 Jiadong Xiao , Lin Li , Tie Zhang , Yanbiao Zou

In structural optimization, both parameters and shape are relevant for the model performance. Yet, conventional optimization techniques usually consider either parameters or the shape separately. This work addresses this problem by…

Optimization and Control · Mathematics 2025-03-18 Michael Wiesheu , Theodor Komann , Melina Merkel , Sebastian Schöps , Stefan Ulbrich , Idoia Cortes Garcia

We propose the combination of forward shape derivatives and the use of an iterative inversion scheme for Bayesian optimization to find optimal designs of nanophotonic devices. This approach widens the range of applicability of Bayesian…

Computational Physics · Physics 2021-01-12 Xavier Garcia-Santiago , Sven Burger , Carsten Rockstuhl , Philipp-Immanuel Schneider

Folding is emerging as a promising manufacturing process to transform flat materials into functional structures, offering efficiency by reducing the need for welding, gluing, and molding, while minimizing waste and enabling automation.…

Soft Condensed Matter · Physics 2025-10-20 João C. Neves , Bernardo R. Marques , Cristóvão S. Dias , Nuno A. M. Araújo

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. Some evolutionary algorithms for multi-modal multi-objective optimization have been proposed in the literature. However,…

Neural and Evolutionary Computing · Computer Science 2020-10-02 Ryoji Tanabe , Hisao Ishibuchi

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. While decomposition-based evolutionary algorithms have good performance for multi-objective optimization, they are…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

We present a multi-objective Bayesian optimisation algorithm that allows the user to express preference-order constraints on the objectives of the type "objective A is more important than objective B". These preferences are defined based on…

Machine Learning · Computer Science 2019-11-14 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh

This paper presents evolutionary methods for optimization in dynamic mobile robot path planning. In dynamic mobile path planning, the goal is to find an optimal feasible path from starting point to target point with various obstacles, as…

Robotics · Computer Science 2019-02-12 Masoud Fetanat , Sajjad Haghzad , Saeed Bagheri Shouraki

This work addresses a Multi-Objective Shortest Path Problem (MO-SPP) on a graph where the goal is to find a set of Pareto-optimal solutions from a start node to a destination in the graph. A family of approaches based on MOA* have been…

Artificial Intelligence · Computer Science 2022-05-31 Zhongqiang Ren , Richard Zhan , Sivakumar Rathinam , Maxim Likhachev , Howie Choset

A new interactive approach to navigate on approximations of in general non-convex but connected Pareto fronts is introduced. Given a finite number of precalculated representative Pareto-efficient solutions, an adapted Delaunay triangulation…

Optimization and Control · Mathematics 2020-01-14 Dimitri Nowak , Karl-Heinz Küfer

Convex optimization encompasses a wide range of optimization problems that contain many efficiently solvable subclasses. Interior point methods are currently the state-of-the-art approach for solving such problems, particularly effective…

Optimization and Control · Mathematics 2025-03-28 Andreas Klingler , Tim Netzer

In this work, we investigate a particular class of shape optimization problems under uncertainties on the input parameters. More precisely, we are interested in the minimization of the expectation of a quadratic objective in a situation…

Optimization and Control · Mathematics 2015-06-01 M. Dambrine , C. Dapogny , H. Harbrecht

Flower pollination algorithm is a new nature-inspired algorithm, based on the characteristics of flowering plants. In this paper, we extend this flower algorithm to solve multi-objective optimization problems in engineering. By using the…

Neural and Evolutionary Computing · Computer Science 2014-04-04 Xin-She Yang , M. Karamanoglu , Xingshi He

Aircraft aerodynamic design optimization must account for the varying operating conditions along the cruise segment as opposed to designing at one fixed operating condition, to arrive at more realistic designs. Conventional approaches…

Optimization and Control · Mathematics 2025-12-03 Kade Carlson , Ashwin Renganathan

This paper presents a new method to generate tool paths for machining freeform surfaces represented either as parametric surfaces or as triangular meshes. This method allows for the optimal tradeoff between the preferred feed direction…

Graphics · Computer Science 2020-09-08 Qiang Zou , Charlie C. L. Wang , Hsi-Yung Feng

In this manuscript, we address continuous unconstrained multi-objective optimization problems and we discuss descent type methods for the reconstruction of the Pareto set. Specifically, we analyze the class of Front Descent methods, which…

Optimization and Control · Mathematics 2026-04-08 Matteo Lapucci , Pierluigi Mansueto , Davide Pucci

We develop a new Hamiton-Jacobi (HJ) and differential game approach for exploring the Pareto front of (constrained) multi-objective optimization (MOO) problems. Given a preference function, we embed the scalarized MOO problem into the value…

Optimization and Control · Mathematics 2026-02-13 Shanqing Liu , Paula Chen , Youngkyu Lee , Jerome Darbon

The article presents a study on the biobjective inventory routing problem. Contrary to most previous research, the problem is treated as a true multi-objective optimization problem, with the goal of identifying Pareto-optimal solutions. Due…

Artificial Intelligence · Computer Science 2011-09-15 Martin Josef Geiger , Marc Sevaux
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