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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

In order to support the real-time interaction with LLMs and the instant search or the instant recommendation on social media, it becomes an imminent problem to build a k-NN graph or an indexing graph for the massive number of vectorized…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Cheng Zhang , Wan-Lei Zhao , Shihai Xiao , Jiajie Yao , Xuecang Zhang

We revisit two well-known algorithmic problems on strings: computing a shortest unique substring (SUS) and a shortest absent substring (SAS) of a string $S$ of length $n$. Both problems admit folklore $\mathcal{O}(n)$-time solutions using…

Data Structures and Algorithms · Computer Science 2026-05-07 Panagiotis Charalampopoulos , Manal Mohamed , Solon P. Pissis , Hilde Verbeek , Wiktor Zuba

We present a new scalable, lightweight algorithm to incrementally construct the BWT and FM-index of large string sets such as those produced by Next Generation Sequencing. The algorithm is designed for massive parallelism and can…

Data Structures and Algorithms · Computer Science 2014-10-03 Jacopo Pantaleoni

Purpose: A fast data-driven optimization approach, named bias-accelerated subset selection (BASS), is proposed for learning efficacious sampling patterns (SPs) with the purpose of reducing scan time in large-dimensional parallel MRI.…

Signal Processing · Electrical Eng. & Systems 2020-11-05 Marcelo V. W. Zibetti , Gabor T. Herman , Ravinder R. Regatte

Efficient and consistent string processing is critical in the exponentially growing genomic data era. Locally Consistent Parsing (LCP) addresses this need by partitioning an input genome string into short, exactly matching substrings (e.g.,…

The deployment and training of neural networks on edge computing devices pose many challenges. The low memory nature of edge devices is often one of the biggest limiting factors encountered in the deployment of large neural network models.…

Machine Learning · Computer Science 2023-06-01 Burak Bartan , Haoming Li , Harris Teague , Christopher Lott , Bistra Dilkina

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

Graph Neural Networks (GNNs) are widely used for learning on graph-structured data, but scaling GNN training to massive graphs remains challenging. To enable scalable distributed training, graphs are divided into smaller partitions that are…

Machine Learning · Computer Science 2026-04-02 Nikolai Merkel , Ruben Mayer , Volker Markl , Hans-Arno Jacobsen

We develop an efficient parallel algorithm for answering shortest-path queries in planar graphs and implement it on a multi-node CPU/GPU clusters. The algorithm uses a divide-and-conquer approach for decomposing the input graph into small…

Data Structures and Algorithms · Computer Science 2015-03-26 Guillaume Chapuis , Hristo Djidjev

Contraction Hierarchies is a successful speedup-technique to Dijkstra's seminal shortest path algorithm that has a convenient trade-off between preprocessing and query times. We investigate a shared-memory parallel implementation that uses…

Data Structures and Algorithms · Computer Science 2012-08-14 Dennis Luxen , Dennis Schieferdecker

Maps of brain microarchitecture are important for understanding neurological function and behavior, including alterations caused by chronic conditions such as neurodegenerative disease. Techniques such as knife-edge scanning microscopy…

Image and Video Processing · Electrical Eng. & Systems 2020-02-06 Leila Saadatifard , Aryan Mobiny , Pavel Govyadinov , Hien Nguyen , David Mayerich

Partitioning a graph into balanced components is important for several applications. For multi-objective problems, it is useful not only to find one solution but also to enumerate all the solutions with good values of objectives. However,…

Data Structures and Algorithms · Computer Science 2018-04-09 Yu Nakahata , Jun Kawahara , Shoji Kasahara

We consider the problem of finding a minimum common partition of two strings (MCSP). The problem has its application in genome comparison. MCSP problem is proved to be NP-hard. In this paper, we develop an Integer Programming (IP)…

Discrete Mathematics · Computer Science 2015-06-22 S. M. Ferdous , M. Sohel Rahman

We investigate the problem of compiling the generation of graph states to arbitrarily many distributed homogeneous quantum processing units (QPUs), providing a scalable partitioning algorithm and graph state generation protocol to minimize…

We develop and extensively evaluate highly scalable distributed-memory algorithms for computing minimum spanning trees (MSTs). At the heart of our solutions is a scalable variant of Boruvka's algorithm. For partitioned graphs with many…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-11 Peter Sanders , Matthias Schimek

The sequence in which a complex product is assembled directly impacts the ease and efficiency of the assembly process, whether executed by a human or a robot. A sequence that gives the assembler the greatest freedom of movement is therefore…

Robotics · Computer Science 2019-07-10 James Watson , Tucker Hermans

Sequence assembly from short reads is an important problem in biology. It is known that solving the sequence assembly problem exactly on a bi-directed de Bruijn graph or a string graph is intractable. However finding a Shortest Double…

Data Structures and Algorithms · Computer Science 2015-05-19 Vamsi Kundeti , Sanguthevar Rajasekaran , Hieu Dinh

The Constraint Shortest Path (CSP) problem is as follows. An $n$-vertex graph is given, each edge/arc assigned two weights. Let us call them "cost" and "length" for definiteness. Finding a min-cost upper-bounded length path between a given…

Data Structures and Algorithms · Computer Science 2022-04-12 Adil Erzin , Roman Plotnikov , Ilya Ladygin

A central goal of modern magnetic resonance imaging (MRI) is to reduce the time required to produce high-quality images. Efforts have included hardware and software innovations such as parallel imaging, compressed sensing, and deep…

Medical Physics · Physics 2023-03-27 Yihong Xu , Chad W. Farris , Stephan W. Anderson , Xin Zhang , Keith A. Brown
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