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Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

Systems and Control · Electrical Eng. & Systems 2025-09-04 J. Wehbeh , E. C. Kerrigan

For interior-point algorithms in linear programming, it is well-known that the selection of the centering parameter is crucial for proving polynomility in theory and for efficiency in practice. However, the selection of the centering…

Optimization and Control · Mathematics 2021-10-05 Yaguang Yang

Multi-party multi-objective optimization problems (MPMOPs) require consensus among autonomous decision makers and therefore differ from flattened many-objective formulations. Existing runtime theory for multi-objective evolutionary…

Artificial Intelligence · Computer Science 2026-05-19 Xiaolei Fang , Peilan Xu , Wenjian Luo

The goal of this paper is to achieve a computational model and corresponding efficient algorithm for obtaining a sparse representation of the fitting surface to the given scattered data. The basic idea of the model is to utilize the…

Numerical Analysis · Mathematics 2017-04-27 Yong-Xia Hao , Chong-Jun Li , Ren-Hong Wang

Many scientific and industrial applications require the joint optimization of multiple, potentially competing objectives. Multi-objective Bayesian optimization (MOBO) is a sample-efficient framework for identifying Pareto-optimal solutions.…

Machine Learning · Computer Science 2024-06-10 Ji Won Park , Nataša Tagasovska , Michael Maser , Stephen Ra , Kyunghyun Cho

Many existing branch and bound algorithms for multiobjective optimization problems require a significant computational cost to approximate the entire Pareto optimal solution set. In this paper, we propose a new branch and bound algorithm…

Optimization and Control · Mathematics 2024-05-20 Weitian Wu , Xinmin Yang

The main aim of this paper is to solve a path planning problem for an autonomous mobile robot in static and dynamic environments. The problem is solved by determining the collision-free path that satisfies the chosen criteria for shortest…

Robotics · Computer Science 2020-03-24 Fatin H. Ajeil , Ibraheem Kasim Ibraheem , Mouayad A. Sahib , Amjad J. Humaidi

This paper formalizes the optimal base problem, presents an algorithm to solve it, and describes its application to the encoding of Pseudo-Boolean constraints to SAT. We demonstrate the impact of integrating our algorithm within the…

Discrete Mathematics · Computer Science 2011-01-04 Michael Codish , Yoav Fekete , Carsten Fuhs , Peter Schneider-Kamp

In the current paper, we present an optimization system solving multi objective production scheduling problems (MOOPPS). The identification of Pareto optimal alternatives or at least a close approximation of them is possible by a set of…

Artificial Intelligence · Computer Science 2008-09-08 Martin Josef Geiger

The efficient optimization method for locally Lipschitz continuous multiobjective optimization problems from [1] is extended from finite-dimensional problems to general Hilbert spaces. The method iteratively computes Pareto critical points,…

Optimization and Control · Mathematics 2024-02-12 Konstantin Sonntag , Bennet Gebken , Georg Müller , Sebastian Peitz , Stefan Volkwein

With the widespread application of industrial robots, the problem of absolute positioning accuracy becomes increasingly prominent. To ensure the working state of the robots, researchers commonly adopt calibration techniques to improve its…

Robotics · Computer Science 2023-04-25 Tinghui Chen , Shuai Li

Compressive Sensing (CS) theory states that real-world signals can often be recovered from much fewer measurements than those suggested by the Shannon sampling theorem. Nevertheless, recoverability does not only depend on the signal, but…

Information Theory · Computer Science 2017-05-10 Miguel Heredia Conde , Otmar Loffeld

A basic simulation-based reinforcement learning algorithm is the Monte Carlo Exploring States (MCES) method, also known as optimistic policy iteration, in which the value function is approximated by simulated returns and a greedy policy is…

Optimization and Control · Mathematics 2020-07-22 Jun Liu

We settle the computational complexity of fundamental questions related to multicriteria integer linear programs, when the dimensions of the strategy space and of the outcome space are considered fixed constants. In particular we construct:…

Optimization and Control · Mathematics 2017-01-03 Jesús A. De Loera , Raymond Hemmecke , Matthias Köppe

We study the problem of optimizing expensive blackbox functions over combinatorial spaces (e.g., sets, sequences, trees, and graphs). BOCS (Baptista and Poloczek, 2018) is a state-of-the-art Bayesian optimization method for tractable…

Machine Learning · Computer Science 2020-08-20 Aryan Deshwal , Syrine Belakaria , Janardhan Rao Doppa

Many communication and control problems are cast as multi-objective Markov decision processes (MOMDPs). The complete solution to an MOMDP is the Pareto front. Much of the literature approximates this front via scalarization into…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Jiping Luo , Nikolaos Pappas

The discrete nature of transmitted symbols poses challenges for achieving optimal detection in multiple-input multiple-output (MIMO) systems associated with a large number of antennas. Recently, the combination of two powerful machine…

Signal Processing · Electrical Eng. & Systems 2024-12-11 Xingyu Zhou , Le Liang , Jing Zhang , Chao-Kai Wen , Shi Jin

The closest pair of points problem or closest pair problem (CPP) is an important problem in computational geometry where we have to find a pair of points from a set of points in metric space with the smallest distance between them. This…

Data Structures and Algorithms · Computer Science 2020-08-03 Subrata Saha , Ahmed Soliman , Sanguthevar Rajasekaran

We consider the problem of designing deterministic graph algorithms for the model of Massively Parallel Computation (MPC) that improve with the sparsity of the input graph, as measured by the notion of arboricity. For the problems of…

Data Structures and Algorithms · Computer Science 2023-07-03 Manuela Fischer , Jeff Giliberti , Christoph Grunau

This document contains supplementary material for the paper "Multi-objective Reinforcement Learning with Continuous Pareto Frontier Approximation", published at the Twenty-Ninth AAAI Conference on Artificial Intelligence (AAAI-15). The…

Artificial Intelligence · Computer Science 2014-11-20 Matteo Pirotta , Simone Parisi , Marcello Restelli
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