English
Related papers

Related papers: New heuristic to choose a cylindrical algebraic de…

200 papers

We present a divide-and-conquer version of the Cylindrical Algebraic Decomposition (CAD) algorithm. The algorithm represents the input as a Boolean combination of subformulas, computes cylindrical algebraic decompositions of solution sets…

Symbolic Computation · Computer Science 2014-02-05 Adam Strzebonski

We study online scheduling to minimize total completion time with explorable uncertainty on single and multiple machines. Each job comes with an upper limit of its processing time, which could be potentially reduced by testing the job,…

Discrete Mathematics · Computer Science 2026-05-11 Bob Krekelberg , Alison Hsiang-Hsuan Liu , Fu-Hong Liu , Prudence W. H. Wong , Xiao-Ou Zhang

This paper presents a generic technique for improving hybrid algorithms through the discovery of and tuning of meta-heuristics. The idea is to represent a family of push/pull heuristics that are based upon inserting and removing tasks in a…

Programming Languages · Computer Science 2007-05-23 Yves Caseau , Glenn Silverstein , Francois Laburthe

This paper offers a new algorithm to efficiently optimize scheduling decisions for dial-a-ride problems (DARPs), including problem variants considering electric and autonomous vehicles (e-ADARPs). The scheduling heuristic, based on linear…

Optimization and Control · Mathematics 2023-04-24 Claudia Bongiovanni , Nikolas Geroliminis , Mor Kaspi

The computation of determinants or their signs is the core procedure in many important geometric algorithms, such as convex hull, volume and point location. As the dimension of the computation space grows, a higher percentage of the total…

Computational Geometry · Computer Science 2016-02-01 Vissarion Fisikopoulos , Luis Peñaranda

Predictive motion planning is the key to achieve energy-efficient driving, which is one of the main benefits of automated driving. Researchers have been studying the planning of velocity trajectories, a simpler form of motion planning, for…

Optimization and Control · Mathematics 2019-02-22 Zlatan Ajanovic , Michael Stolz , Martin Horn

In the last years, there has been a great interest in machine-learning-based heuristics for solving NP-hard combinatorial optimization problems. The developed methods have shown potential on many optimization problems. In this paper, we…

Optimization and Control · Mathematics 2022-12-19 Mouad Morabit , Guy Desaulniers , Andrea Lodi

Cylindrical algebraic decompositions (CADs) are a key tool in real algebraic geometry, used primarily for eliminating quantifiers over the reals and studying semi-algebraic sets. In this paper we introduce cylindrical algebraic…

Symbolic Computation · Computer Science 2014-06-27 D. J. Wilson , R. J. Bradford , J. H. Davenport , M. England

Statistical static timing analysis deals with the increasing variations in manufacturing processes to reduce the pessimism in the worst case timing analysis. Because of the correlation between delays of circuit components, timing model…

Hardware Architecture · Computer Science 2017-05-16 Bing Li , Ning Chen , Manuel Schmidt , Walter Schneider , Ulf Schlichtmann

In the paper which inspired the SC-Square project, [E. Abraham, Building Bridges between Symbolic Computation and Satisfiability Checking, Proc. ISSAC '15, pp. 1-6, ACM, 2015] the author identified the use of sophisticated heuristics as a…

Symbolic Computation · Computer Science 2017-03-14 Matthew England , James H. Davenport

Given the rapid rise in energy demand by data centers and computing systems in general, it is fundamental to incorporate energy considerations when designing (scheduling) algorithms. Machine learning can be a useful approach in practice by…

Data Structures and Algorithms · Computer Science 2021-12-07 Antonios Antoniadis , Peyman Jabbarzade Ganje , Golnoosh Shahkarami

Causal discovery in time-series data presents a significant computational challenge. Standard algorithms are often prohibitively expensive for datasets with many variables or samples. This study introduces and validates a heuristic…

Machine Learning · Computer Science 2025-08-22 Ziyang Jiao , Ce Guo , Wayne Luk

This paper is about how to partition decision variables while decomposing a large-scale optimization problem for the best performance of distributed solution methods. Solving a large-scale optimization problem sequen- tially can be…

Optimization and Control · Mathematics 2017-10-26 Yuchen Zheng , Ilbin Lee , Nicoleta Serban

Product formula methods, particularly the second-order Suzuki decomposition, are an important tool for simulating quantum dynamics on quantum computers due to their simplicity and unitarity preservation. While higher-order schemes have been…

Quantum Physics · Physics 2025-05-08 Matthew A Lane , Dan E Browne

We propose a hybrid algorithm for the time integration of large sets of rate equations coupled by a relatively small number of degrees of freedom. A subset containing fast degrees of freedom evolves deterministically, while the rest of the…

Materials Science · Physics 2015-06-16 Marco Gherardi , Thomas Jourdan , Solène Le Bourdiec , Guy Bencteux

In this paper we have proposed a semi-heuristic optimization algorithm for designing optimal plant layouts in process-focused manufacturing/service facilities. Being a semi-heuristic search, our algorithm is likely to be more efficient in…

General Mathematics · Mathematics 2007-05-23 M. Khoshnevisan , S. Bhattacharya , F. Smarandache

Extremal Optimization, a recently introduced meta-heuristic for hard optimization problems, is analyzed on a simple model of jamming. The model is motivated first by the problem of finding lowest energy configurations for a disordered spin…

Statistical Mechanics · Physics 2018-07-06 S. Boettcher , M. Grigni

Existing research on single-machine scheduling is largely focused on exact algorithms, which perform well on typical instances but can significantly deteriorate on certain regions of the problem space. In contrast, data-driven approaches…

Machine Learning · Computer Science 2025-10-08 Nikolai Antonov , Prěmysl Šůcha , Mikoláš Janota , Jan Hůla

Heuristics are crucial tools in decreasing search effort in varied fields of AI. In order to be effective, a heuristic must be efficient to compute, as well as provide useful information to the search algorithm. However, some well-known…

Artificial Intelligence · Computer Science 2011-04-12 David Tolpin , Solomon Eyal Shimony

With ongoing developments in digitalization and advances in the field of autonomous driving, on-demand ride pooling is a mobility service with the potential to disrupt the urban mobility market. Nevertheless, to apply this kind of service…

Systems and Control · Electrical Eng. & Systems 2020-07-30 Roman Engelhardt , Florian Dandl , Klaus Bogenberger