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Graphs and their traversal is becoming significant as it is applicable to various areas of mathematics, science and technology. Various problems in fields as varied as biochemistry (genomics), electrical engineering (communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-11 Anuj Sharma , Syed Mohammed Arshad Zaidi

In view of the tremendous computing power jump of modern RISC processors the interest in parallel computing seems to be thinning out. Why use a complicated system of parallel processors, if the problem can be solved by a single powerful…

comp-gas · Physics 2008-02-03 G. Odor , F. Rohrbach , G. Vesztergombi , G. Varga , F. Tatrai

Markov chains are one of the well-known tools for modeling and analyzing stochastic systems. At the same time, they are used for constructing random walks that can achieve a given stationary distribution. This paper is concerned with…

Information Theory · Computer Science 2025-01-07 Saber Jafarizadeh

Adaptive and interacting Markov chain Monte Carlo algorithms (MCMC) have been recently introduced in the literature. These novel simulation algorithms are designed to increase the simulation efficiency to sample complex distributions.…

Statistics Theory · Mathematics 2012-03-15 G. Fort , E. Moulines , P. Priouret

We extract a core principle underlying seemingly different fundamental distributed settings, showing sparsity awareness may induce faster algorithms for problems in these settings. To leverage this, we establish a new framework by…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-01 Keren Censor-Hillel , Dean Leitersdorf , Volodymyr Polosukhin

The goal of this paper is to propose novel strategies for adaptive learning of signals defined over graphs, which are observed over a (randomly time-varying) subset of vertices. We recast two classical adaptive algorithms in the graph…

Machine Learning · Computer Science 2018-08-01 Paolo Di Lorenzo , Paolo Banelli , Elvin Isufi , Sergio Barbarossa , Geert Leus

The field of dynamic graph algorithms aims at achieving a thorough understanding of real-world networks whose topology evolves with time. Traditionally, the focus has been on the classic sequential, centralized setting where the main…

Data Structures and Algorithms · Computer Science 2021-09-23 Shiri Antaki , Quanquan C. Liu , Shay Solomon

Learning-based methods have become increasingly popular for solving vehicle routing problems due to their near-optimal performance and fast inference speed. Among them, the combination of deep reinforcement learning and graph representation…

Machine Learning · Computer Science 2024-05-22 Zhenwei Wang , Ruibin Bai , Fazlullah Khan , Ender Ozcan , Tiehua Zhang

Two approaches for graph based semi-supervised learning are proposed. The firstapproach is based on iteration of an affine map. A key element of the affine map iteration is sparsematrix-vector multiplication, which has several very…

Machine Learning · Computer Science 2015-09-07 Konstantin Avrachenkov , Vivek Borkar , Krishnakant Saboo

Many modern parallel systems, such as MapReduce, Hadoop and Spark, can be modeled well by the MPC model. The MPC model captures well coarse-grained computation on large data --- data is distributed to processors, each of which has a…

Data Structures and Algorithms · Computer Science 2019-05-03 Alexandr Andoni , Clifford Stein , Peilin Zhong

The increasing demand for larger and higher fidelity simulations has made Adaptive Mesh Refinement (AMR) and unstructured mesh techniques essential to focus compute effort and memory cost on just the areas of interest in the simulation…

Graphics · Computer Science 2025-01-23 Xuan Huang , Will Usher , Valerio Pascucci

While algebrisation constitutes a powerful technique in the design and analysis of centralised algorithms, to date there have been hardly any applications of algebraic techniques in the context of distributed graph algorithms. This work is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Petteri Kaski , Janne H. Korhonen , Christoph Lenzen , Jukka Suomela

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

Databases · Computer Science 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

We present a deterministic algorithm for solving a wide range of dynamic programming problems in trees in $O(\log D)$ rounds in the massively parallel computation model (MPC), with $O(n^\delta)$ words of local memory per machine, for any…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-08 Chetan Gupta , Rustam Latypov , Yannic Maus , Shreyas Pai , Simo Särkkä , Jan Studený , Jukka Suomela , Jara Uitto , Hossein Vahidi

Graph processing at scale presents many challenges, including the irregular structure of graphs, the latency-bound nature of graph algorithms, and the overhead associated with distributed execution. While existing frameworks such as Spark…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Karame Mohammadiporshokooh , Panagiotis Syskakis , Andrew Lumsdaine , Hartmut Kaiser

This paper presents a new approach to solve linear and nonlinear model predictive control (MPC) problems that requires small memory footprint and throughput and is particularly suitable when the model and/or controller parameters change at…

Optimization and Control · Mathematics 2021-03-25 Nilay Saraf , Alberto Bemporad

With the widespread use of shared-nothing clusters of servers, there has been a proliferation of distributed object stores that offer high availability, reliability and enhanced performance for MapReduce-style workloads. However, relational…

Databases · Computer Science 2013-12-03 Lukasz Golab , Marios Hadjieleftheriou , Howard Karloff , Barna Saha

Randomized parallel algorithms for many fundamental problems achieve optimal linear work in expectation, but upgrading this guarantee to hold with high probability (whp) remains a recurring theoretical challenge. In this paper, we address…

Data Structures and Algorithms · Computer Science 2026-03-03 Chase Hutton , Adam Melrod

Graph matching can be formalized as a combinatorial optimization problem, where there are corresponding relationships between pairs of nodes that can be represented as edges. This problem becomes challenging when there are potential…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Dongdong Chen , Yuxing Dai , Lichi Zhang , Zhihong Zhang

The rapidly growing number of large network analysis problems has led to the emergence of many parallel and distributed graph processing systems---one survey in 2014 identified over 80. Since then, the landscape has evolved; some packages…

Performance · Computer Science 2017-05-18 Samuel Pollard , Boyana Norris