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To effectively control large-scale distributed systems online, model predictive control (MPC) has to swiftly solve the underlying high-dimensional optimization. There are multiple techniques applied to accelerate the solving process in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-30 Carmen Amo Alonso , Shih-Hao Tseng

We propose an exact algorithm for solving the longest simple path problem between two given vertices in undirected weighted graphs. By using graph partitioning and dynamic programming, we obtain an algorithm that is significantly faster…

Data Structures and Algorithms · Computer Science 2019-05-10 Kai Fieger , Tomas Balyo , Christian Schulz , Dominik Schreiber

The Parareal algorithm is used to solve time-dependent problems considering multiple solvers that may work in parallel. The key feature is a initial rough approximation of the solution that is iteratively refined by the parallel solvers. We…

Systems and Control · Computer Science 2014-02-18 Loïc Michel

The problem of task scheduling with communication delays is strongly NP-hard. State-space search algorithms such as A* have been shown to be a promising approach to solving small to medium sized instances optimally. A recently proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-15 Michael Orr , Oliver Sinnen

The growing interest for high dimensional and functional data analysis led in the last decade to an important research developing a consequent amount of techniques. Parallelized algorithms, which consist in distributing and treat the data…

Statistics Theory · Mathematics 2017-10-24 Antoine Godichon-Baggioni , Sofiane Saadane

Developing a contemporary optimal transport (OT) solver requires navigating trade-offs among several critical requirements: GPU parallelization, scalability to high-dimensional problems, theoretical convergence guarantees, empirical…

Machine Learning · Computer Science 2025-04-04 Mete Kemertas , Amir-massoud Farahmand , Allan D. Jepson

It has been shown that a class of probabilistic domain models cannot be learned correctly by several existing algorithms which employ a single-link look ahead search. When a multi-link look ahead search is used, the computational complexity…

Artificial Intelligence · Computer Science 2013-02-08 TongSheng Chu , Yang Xiang

We propose new sequential sorting operations by adapting techniques and methods used for designing parallel sorting algorithms. Although the norm is to parallelize a sequential algorithm to improve performance, we adapt a contrarian…

Data Structures and Algorithms · Computer Science 2016-09-01 Alexandros V Gerbessiotis

Machine learning (ML) methods offer a wide range of configurable hyperparameters that have a significant influence on their performance. While accuracy is a commonly used performance objective, in many settings, it is not sufficient.…

Machine Learning · Computer Science 2023-09-27 Romain Egele , Tyler Chang , Yixuan Sun , Venkatram Vishwanath , Prasanna Balaprakash

We present a novel local improvement scheme for the perfectly balanced graph partitioning problem. This scheme encodes local searches that are not restricted to a balance constraint into a model allowing us to find combinations of these…

Data Structures and Algorithms · Computer Science 2012-10-02 Peter Sanders , Christian Schulz

Current algorithms for large-scale industrial optimization problems typically face a trade-off: they either require exponential time to reach optimal solutions, or employ problem-specific heuristics. To overcome these limitations, we…

Quantum Physics · Physics 2025-10-16 Matteo Vandelli , Francesco Ferrari , Daniele Dragoni

To obtain a better understanding of the trade-offs between various objectives, Bi-Objective Integer Programming (BOIP) algorithms calculate the set of all non-dominated vectors and present these as the solution to a BOIP problem.…

Optimization and Control · Mathematics 2019-09-10 William Pettersson , Melih Ozlen

Linear programming (LP) relaxation is a standard technique for solving hard combinatorial optimization (CO) problems. Here we present a gradient descent algorithm which exploits the special structure of some LP relaxations induced by CO…

Optimization and Control · Mathematics 2020-11-17 Alexey Antonov

Nowadays, GPU accelerators are commonly used to speed up general-purpose computing tasks on a variety of hardware. However, due to the diversity of GPU architectures and processed data, optimization of codes for a particular type of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-20 Jiří Filipovič , Jana Hozzová , Amin Nezarat , Jaroslav Oľha , Filip Petrovič

Optimization of searching the best possible action depending on various states like state of environment, system goal etc. has been a major area of study in computer systems. In any search algorithm, searching best possible solution from…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-10 Shubhendra Pal Singhal , M. Sridevi

Resource constrained project scheduling is an important combinatorial optimisation problem with many practical applications. With complex requirements such as precedence constraints, limited resources, and finance-based objectives, finding…

Neural and Evolutionary Computing · Computer Science 2022-10-21 Dhananjay R. Thiruvady , Su Nguyen , Christian Blum , Andreas T. Ernst

Contemporary global optimization algorithms are based on local measures of utility, rather than a probability measure over location and value of the optimum. They thus attempt to collect low function values, not to learn about the optimum.…

Machine Learning · Statistics 2011-12-07 Philipp Hennig , Christian J. Schuler

Reformulating the history matching problem from a least-square mathematical optimization problem into a Markov Decision Process introduces a method in which reinforcement learning can be utilized to solve the problem. This method provides a…

Machine Learning · Computer Science 2022-12-26 Omar S. Alolayan , Abdullah O. Alomar , John R. Williams

Anytime search algorithms are useful for planning problems where a solution is desired under a limited time budget. Anytime algorithms first aim to provide a feasible solution quickly and then attempt to improve it until the time budget…

Artificial Intelligence · Computer Science 2023-05-09 Hanlan Yang , Shohin Mukherjee , Maxim Likhachev

This paper presents different methods for solving parallel machine scheduling problems with precedence constraints and setup times between the jobs. Limited discrepancy search methods mixed with local search principles, dominance conditions…

Data Structures and Algorithms · Computer Science 2009-02-19 Bernat Gacias , Christian Artigues , Pierre Lopez