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Parametric linear programming is central in polyhedral computations and in certain control applications.We propose a task-based scheme for parallelizing it, with quasi-linear speedup over large problems.

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-15 Camille Coti , David Monniaux , Hang Yu

Parametric analysis is a powerful tool for designing modern embedded systems, because it permits to explore the space of design parameters, and to check the robustness of the system with respect to variations of some uncontrollable…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-07 Youcheng Sun , Romain Soulat , Giuseppe Lipari , Étienne André , Laurent Fribourg

Multi-Robot Path Planning (MRPP) on graphs, equivalently known as Multi-Agent Path Finding (MAPF), is a well-established NP-hard problem with critically important applications. As serial computation in (near)-optimally solving MRPP…

Robotics · Computer Science 2024-03-19 Teng Guo , Jingjin Yu

The PC algorithm is the state-of-the-art algorithm for causal structure discovery on observational data. It can be computationally expensive in the worst case due to the conditional independence tests are performed in an…

Machine Learning · Computer Science 2021-09-13 Kai Zhang , Chao Tian , Kun Zhang , Todd Johnson , Xiaoqian Jiang

We investigate deterministic non-preemptive online scheduling with delayed commitment for total completion time minimization on parallel identical machines. In this problem, jobs arrive one-by-one and their processing times are revealed…

Data Structures and Algorithms · Computer Science 2022-07-19 Uwe Schwiegelshohn

Efficient large-scale inference of transformer-based large language models (LLMs) remains a fundamental systems challenge, frequently requiring multi-GPU parallelism to meet stringent latency and throughput targets. Conventional tensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-10 Chong Wang , Nan Du , Tom Gunter , Tao Lei , Kulin Seth , Senyu Tong , Jianyu Wang , Guoli Yin , Xiyou Zhou , Kelvin Zou , Ruoming Pang

Discovering causal relationships from observational data is a crucial problem and it has applications in many research areas. The PC algorithm is the state-of-the-art constraint based method for causal discovery. However, runtime of the PC…

Artificial Intelligence · Computer Science 2016-11-11 Thuc Duy Le , Tao Hoang , Jiuyong Li , Lin Liu , Huawen Liu

The binary-forking model is a parallel computation model, formally defined by Blelloch et al. very recently, in which a thread can fork a concurrent child thread, recursively and asynchronously. The model incurs a cost of $\Theta(\log n)$…

Data Structures and Algorithms · Computer Science 2020-09-04 Zafar Ahmad , Rezaul Chowdhury , Rathish Das , Pramod Ganapathi , Aaron Gregory , Mohammad Mahdi Javanmard

This paper is about a parallel algorithm for tube-based model predictive control. The proposed control algorithm solves robust model predictive control problems suboptimally, while exploiting their structure. This is achieved by…

Optimization and Control · Mathematics 2019-10-09 Kai Wang , Yuning Jiang , Juraj Oravec , Mario E. Villanueva , Boris Houska

We study the linearizability monitoring problem, which asks whether a given concurrent history of a data structure is equivalent to some sequential execution of the same data structure. In general, this problem is $\textsf{NP}$-hard, even…

Programming Languages · Computer Science 2026-05-26 Lee Zheng Han , Umang Mathur

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

Data Structures and Algorithms · Computer Science 2012-10-18 Guillaume Aupy , Anne Benoit

The Minimum Vertex Cover problem, a classical NP-complete problem, presents significant challenges for exact solution on large graphs. Fixed-Parameter Tractability (FPT) offers a powerful paradigm to address such problems by exploiting a…

Data Structures and Algorithms · Computer Science 2025-07-15 Mumuksh Tayal

In this paper, we study a parallel version of Galton-Watson processes for the random generation of tree-shaped structures. Random trees are useful in many situations (testing, binary search, simulation of physics phenomena,...) as attests…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-22 Olivier Bodini , Camille Coti , Julien David

In this article, we study parameterized complexity theory from the perspective of logic, or more specifically, descriptive complexity theory. We propose to consider parameterized model-checking problems for various fragments of first-order…

Computational Complexity · Computer Science 2007-05-23 Joerg Flum , Martin Grohe

We consider scheduling on identical and unrelated parallel machines with job assignment restrictions. These problems are NP-hard and they do not admit polynomial time approximation algorithms with approximation ratios smaller than $1.5$…

Data Structures and Algorithms · Computer Science 2017-01-26 Klaus Jansen , Marten Maack , Roberto Solis-Oba

Many computational problems admit fast algorithms on special inputs, however, the required properties might be quite restrictive. E.g., many graph problems can be solved much faster on interval or cographs, or on graphs of small…

Data Structures and Algorithms · Computer Science 2022-09-30 Stefan Kratsch , Florian Nelles

Topic modeling is a very powerful technique in data analysis and data mining but it is generally slow. Many parallelization approaches have been proposed to speed up the learning process. However, they are usually not very efficient because…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-24 Hung Nghiep Tran , Atsuhiro Takasu

Graph clustering has many important applications in computing, but due to growing sizes of graphs, even traditionally fast clustering methods such as spectral partitioning can be computationally expensive for real-world graphs of interest.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Julian Shun , Farbod Roosta-Khorasani , Kimon Fountoulakis , Michael W. Mahoney

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

Optimization and Control · Mathematics 2018-11-02 William Pettersson , Melih Ozlen

Machine scheduling problems are a long-time key domain of algorithms and complexity research. A novel approach to machine scheduling problems are fixed-parameter algorithms. To stimulate this thriving research direction, we propose 15 open…

Optimization and Control · Mathematics 2018-10-02 Matthias Mnich , René van Bevern