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Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

Numerical Analysis · Mathematics 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

This paper presents a hierarchical planning algorithm for racing with multiple opponents. The two-stage approach consists of a high-level behavioral planning step and a low-level optimization step. By combining discrete and continuous…

Robotics · Computer Science 2026-04-29 Georg Jank , Matthias Rowold , Boris Lohmann

We study the problem of multiway number partition optimization, which has a myriad of applications in the decision, learning and optimization literature. Even though the original multiway partitioning problem is NP-hard and requires…

Data Structures and Algorithms · Computer Science 2022-03-14 Kaan Gokcesu , Hakan Gokcesu

An optimal solution to the problem of scheduling real-time tasks on a set of identical processors is derived. The described approach is based on solving an equivalent uniprocessor real-time scheduling problem. Although there are other…

Operating Systems · Computer Science 2011-04-19 Paul Regnier , George Lima , Ernesto Massa

We propose a new parallel-in-time algorithm for solving optimal control problems constrained by discretized partial differential equations. Our approach, which is based on a deeper understanding of ParaExp, considers an overlapping…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-06 Felix Kwok , Djahou N Tognon

This paper is about GMRES algorithms for the solution of nonsingular linear systems. We first consider basic algorithms and study their convergence. We then focus on acceleration strategies and parallel algorithms that are useful for…

Numerical Analysis · Mathematics 2023-02-08 Qinmeng Zou

Many parallel algorithms which solve basic problems in computer science use auxiliary space linear in the input to facilitate conflict-free computation. There has been significant work on improving these parallel algorithms to be in-place,…

Data Structures and Algorithms · Computer Science 2025-03-11 Chase Hutton , Adam Melrod

We present efficient parallel algorithms for computing maximal matchings in hypergraphs. Our algorithm finds locally maximal edges in the hypergraph and adds them in parallel to the matching. In the CRCW PRAM models our algorithms achieve…

Data Structures and Algorithms · Computer Science 2026-03-13 Henrik Reinstädtler , Christian Schulz , Nodari Sitchinava , Fabian Walliser

We provide algorithms for efficiently addressing quantum memory in parallel. These imply that the standard circuit model can be simulated with low overhead by the more realistic model of a distributed quantum computer. As a result, the…

In this invited contribution, we revisit the stochastic shortest path problem, and show how recent results allow one to improve over the classical solutions: we present algorithms to synthesize strategies with multiple guarantees on the…

Logic in Computer Science · Computer Science 2014-11-05 Mickael Randour , Jean-François Raskin , Ocan Sankur

In this paper, we study the problem of map matching with travel time constraints. Given a sequence of $k$ spatio-temporal measurements and an embedded path graph with travel time costs, the goal is to snap each measurement to a close-by…

Computational Geometry · Computer Science 2025-06-24 Yannick Bosch , Sabine Storandt

We study the problem of simultaneous geometric embedding of two paths without self-intersections on an integer grid. We show that minimizing the length of the longest edge of such an embedding is NP-hard. We also show that we can minimize…

Computational Geometry · Computer Science 2026-03-11 Stephen Kobourov , William Lenhart , Giuseppe Liotta , Daniel Perz , Pavel Valtr , Johannes Zink

We present a parallelizable algorithm for computing the persistent homology of a filtered chain complex. Our approach differs from the commonly used reduction algorithm by first computing persistence pairs within local chunks, then…

Algebraic Topology · Mathematics 2013-03-05 Ulrich Bauer , Michael Kerber , Jan Reininghaus

We present a parallel hierarchical solver for general sparse linear systems on distributed-memory machines. For large-scale problems, this fully algebraic algorithm is faster and more memory-efficient than sparse direct solvers because it…

Numerical Analysis · Mathematics 2017-12-21 Chao Chen , Hadi Pouransari , Sivasankaran Rajamanickam , Erik G. Boman , Eric Darve

This paper presents a parallelizable variant of the well-known Hierarchical Cooperative A* algorithm (HCA*) for the multi-agent path finding (MAPF) problem. In this variant, all agents initially find their shortest paths disregarding the…

Systems and Control · Electrical Eng. & Systems 2025-02-03 Sreenivasan Ganti , Visnu Srinivasan , Pallavi Ramicetty , Shravan Mohan , Milind Savagaonkar , Shubhashis Sengupta

Motivated by the observation that FIFO-based push-relabel algorithms are able to outperform highest label-based variants on modern, large maximum flow problem instances, we introduce an efficient implementation of the algorithm that uses…

Data Structures and Algorithms · Computer Science 2015-07-27 Niklas Baumstark , Guy Blelloch , Julian Shun

This paper studies the nucleus decomposition problem, which has been shown to be useful in finding dense substructures in graphs. We present a novel parallel algorithm that is efficient both in theory and in practice. Our algorithm achieves…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-12 Jessica Shi , Laxman Dhulipala , Julian Shun

Tasks scheduling is the most challenging problem in the parallel computing. Hence, the inappropriate scheduling will reduce or even abort the utilization of the true potential of the parallelization. Genetic algorithm (GA) has been…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-25 Nourah Al-Angari , Abdullatif ALAbdullatif

It is a critical issue to compute the shortest paths between nodes in networks. Exact algorithms for shortest paths are usually inapplicable for large scale networks due to the high computational complexity. In this paper, we propose a…

Social and Information Networks · Computer Science 2015-06-29 Shi-nan Gong , Duan-bing Chen , Hui Gao , Guan-nan Wang , Liang-wei Wang

We initiate the study of graph algorithms in the streaming setting on massive distributed and parallel systems inspired by practical data processing systems. The objective is to design algorithms that can efficiently process evolving graphs…

Data Structures and Algorithms · Computer Science 2025-01-20 Artur Czumaj , Gopinath Mishra , Anish Mukherjee