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Using (a,b)-trees as an example, we show how to perform a parallel split with logarithmic latency and parallel join, bulk updates, intersection, union (or merge), and (symmetric) set difference with logarithmic latency and with information…

Data Structures and Algorithms · Computer Science 2016-05-12 Yaroslav Akhremtsev , Peter Sanders

Mutual learning of a pair of tree parity machines with continuous and discrete weight vectors is studied analytically. The analysis is based on a mapping procedure that maps the mutual learning in tree parity machines onto mutual learning…

Disordered Systems and Neural Networks · Physics 2009-11-07 Michal Rosen-Zvi , Einat Klein , Ido Kanter , Wolfgang Kinzel

Sorting is one of the most fundamental problems in the field of computer science. With the rapid development of manycore processors, it shows great importance to design efficient parallel sort algorithm on manycore architecture. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-18 Tianyi Yu , Wei Li

In this paper we study the notion of synchronization from the point of view of combinatorics. As a first step, we address the quantitative problem of counting the number of executions of simple processes interacting with synchronization…

Programming Languages · Computer Science 2019-07-10 Olivier Bodini , Matthieu Dien , Antoine Genitrini , Frédéric Peschanski

A process model of quantum mechanics utilizes a combinatorial game to generate a discrete and finite causal space upon which can be defined a self-consistent quantum mechanics. An emergent space-time M and continuous wave function arise…

Mathematical Physics · Physics 2015-06-19 William Sulis

There is increasing interest in using multicore processors to accelerate stream processing. For example, indexing sliding window content to enhance the performance of streaming queries is greatly improved by utilizing the computational…

Databases · Computer Science 2019-03-04 Amirhesam Shahvarani , Hans-Arno Jacobsen

Concurrent data structures serve as fundamental building blocks for concurrent computing. Many concurrent counterparts have been designed for basic sequential mechanisms; however, one notable omission is a concurrent tree that supports…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Gal Sela , Erez Petrank

Balanced search trees are widely used in computer science to efficiently maintain dynamic ordered data. To support efficient set operations (e.g., union, intersection, difference) using trees, the join-based framework is widely studied.…

Data Structures and Algorithms · Computer Science 2025-10-24 Michael Goodrich , Yan Gu , Ryuto Kitagawa , Yihan Sun

In practice symmetries of combinatorial structures are computed by transforming the structure into an annotated graph whose automorphisms correspond exactly to the desired symmetries. An automorphism solver is then employed to compute the…

Data Structures and Algorithms · Computer Science 2021-08-11 Markus Anders , Pascal Schweitzer

Constraint Handling Rules (CHR) is a declarative rule-based formalism and language. Concurrency is inherent as rules can be applied to subsets of constraints in parallel. Parallel implementations of CHR, be it in software, be it in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-24 Thom Frühwirth , Daniel Gall

Many privacy-type properties of security protocols can be modelled using trace equivalence properties in suitable process algebras. It has been shown that such properties can be decided for interesting classes of finite processes (i.e.,…

Logic in Computer Science · Computer Science 2023-06-22 David Baelde , Stéphanie Delaune , Lucca Hirschi

We investigate the global scheduling of sporadic, implicit deadline, real-time task systems on multiprocessor platforms. We provide a task model which integrates job parallelism. We prove that the time-complexity of the feasibility problem…

Operating Systems · Computer Science 2008-05-22 S. Collette , L. Cucu , J. Goossens

The rapid growth of large-scale machine learning (ML) models has led numerous commercial companies to utilize ML models for generating predictive results to help business decision-making. As two primary components in traditional predictive…

Performance · Computer Science 2024-01-25 Wenbo Sun , Asterios Katsifodimos , Rihan Hai

We provide a multilevel approach for analysing performances of parallel algorithms. The main outcome of such approach is that the algorithm is described by using a set of operators which are related to each other according to the problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-18 Luisa D'Amore , Valeria Mele , Diego Romano , Giuliano Laccetti

We propose a probabilistic model for the parallel execution of Las Vegas algorithms, i.e., randomized algorithms whose runtime might vary from one execution to another, even with the same input. This model aims at predicting the parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-24 Charlotte Truchet , Florian Richoux , Philippe Codognet

Processing computation-intensive jobs at multiple processing cores in parallel is essential in many real-world applications. In this paper, we consider an idealised model for job parallelism in which a job can be served simultaneously by…

Probability · Mathematics 2022-07-22 Ayalvadi Ganesh , Arpan Mukhopadhyay

In parallel iterative applications, computational efficiency is essential for addressing large problems. Load imbalance is one of the major performance degradation factors of parallel applications. Therefore, distributing, cleverly, and as…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-18 Anthony Boulmier , Franck Raynaud , Nabil Abdennadher , Bastien Chopard

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

Consider a university assigning students to courses and dorms. While many mechanisms are available, they each have their own drawbacks. Running serial dictatorship once for all goods is highly unfair, but running serial dictatorship…

Theoretical Economics · Economics 2026-03-19 Eric Gao

In the case of multi-threading as found in contemporary programming languages, parallel processes are interleaved according to what is known as a process-scheduling policy in the field of operating systems. In a previous paper, we extend…

Logic in Computer Science · Computer Science 2020-04-22 C. A. Middelburg