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Given a sequence of $n$ numbers and $k$ parallel First-in-First-Out (FIFO) queues, how close can one bring the sequence to sorted order? It is known that $k$ queues suffice to sort the sequence if the Longest Decreasing Subsequence (LDS) of…

Data Structures and Algorithms · Computer Science 2025-09-17 Andreas Karrenbauer , Kurt Mehlhorn , Pranabendu Misra , Paolo Luigi Rinaldi , Anna Twelsiek , Alireza Haqi , Siavash Rahimi Shateranloo

On a GPU cluster, the ratio of high computing power to communication bandwidth makes scaling breadth-first search (BFS) on a scale-free graph extremely challenging. By separating high and low out-degree vertices, we present an…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-06 Yuechao Pan , Roger Pearce , John D. Owens

Low-rank approximation is a common tool used to accelerate kernel methods: the $n \times n$ kernel matrix $K$ is approximated via a rank-$k$ matrix $\tilde K$ which can be stored in much less space and processed more quickly. In this work…

Data Structures and Algorithms · Computer Science 2017-11-07 Cameron Musco , David P. Woodruff

Pairwise association measure is an important operation in data analytics. Kendall's tau coefficient is one widely used correlation coefficient identifying non-linear relationships between ordinal variables. In this paper, we investigated a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-13 Yongchao Liu , Tony Pan , Oded Green , Srinivas Aluru

High order correlations in the cosmic matter density have become increasingly valuable in cosmological analyses. However, computing such correlation functions is computationally expensive. We aim to circumvent these challenges by designing…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Zachery Brown , Gebri Mishtaku , Regina Demina

Breadth-first search (BFS) is a fundamental graph algorithm that presents significant challenges for parallel implementation due to irregular memory access patterns, load imbalance and synchronization overhead. In this paper, we introduce a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-04 Marati Bhaskar , Raghavendra Kanakagiri

Different chaos synchronization based encryption schemes are reviewed and compared from the practical point of view. As an efficient cryptanalysis tool for chaos encryption, a proposal based on the Error Function Attack is presented…

Pattern Formation and Solitons · Physics 2009-11-10 Xingang Wang , Meng Zhan , C. -H. Lai , Gang Hu

To maximize the performance of concurrent data structures, researchers have often turned to highly complex fine-grained techniques, resulting in efficient and elegant algorithms, which can however be often difficult to understand and prove…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-21 Trevor Brown , William Sigouin , Dan Alistarh

Asynchronous federated learning (AFL) accelerates training by eliminating the need to wait for stragglers, but its asynchronous nature introduces gradient staleness, where outdated gradients degrade performance. Existing solutions address…

Machine Learning · Computer Science 2025-06-24 Chaoyi Lu , Yiding Sun , Jinqian Chen , Zhichuan Yang , Jiangming Pan , Jihua Zhu

Parity (XOR) classification requires detecting discrete, high-order feature interactions that smooth classical kernels cannot efficiently capture. We study how quantum kernel advantage depends on parity complexity, the number of features…

Quantum Physics · Physics 2026-05-08 Tushar Pandey

High-dimensional vector similarity search (HVSS) is gaining prominence as a powerful tool for various data science and AI applications. As vector data scales up, in-memory indexes pose a significant challenge due to the substantial increase…

Traditional Insertion Sort runs in O(n^2) time because each insertion takes O(n) time. When people run Insertion Sort in the physical world, they leave gaps between items to accelerate insertions. Gaps help in computers as well. This paper…

Data Structures and Algorithms · Computer Science 2007-05-23 Michael A. Bender , Martin Farach-Colton , Miguel Mosteiro

We continue the program of proving circuit lower bounds via circuit satisfiability algorithms. So far, this program has yielded several concrete results, proving that functions in $\text{Quasi-NP} = \text{NTIME}[n^{(\log n)^{O(1)}}]$ and…

Computational Complexity · Computer Science 2020-01-23 Nikhil Vyas , Ryan Williams

This paper introduces a new comparison base stable sorting algorithm, named RS sort. RS Sort involves only the comparison of pair of elements in an array which ultimately sorts the array and does not involve the comparison of each element…

Data Structures and Algorithms · Computer Science 2014-07-23 Harsh Ranjan , Sumit Agarwal , Niraj Kumar Singh

In our previous work there was some indication that Partition Sort could be having a more robust average case O(nlogn) complexity than the popular Quick Sort. In our first study in this paper, we reconfirm this through computer experiments…

Data Structures and Algorithms · Computer Science 2012-03-28 Niraj Kumar Singh , Mita Pal , Soubhik Chakraborty

We investigate distributed memory parallel sorting algorithms that scale to the largest available machines and are robust with respect to input size and distribution of the input elements. The main outcome is that four sorting algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Michael Axtmann , Peter Sanders

Atomic lock-free multi-word compare-and-swap (MCAS) is a powerful tool for designing concurrent algorithms. Yet, its widespread usage has been limited because lock-free implementations of MCAS make heavy use of expensive compare-and-swap…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-07 Rachid Guerraoui , Alex Kogan , Virendra J. Marathe , Igor Zablotchi

The work identifies the fundamental limits of coded caching when the K receiving users share {\Lambda}$\leq$ K helper-caches, each assisting an arbitrary number of different users. The main result is the derivation of the exact optimal…

Information Theory · Computer Science 2018-10-17 Emanuele Parrinello , Ayşe Ünsal , Petros Elia

Representing sorted integer sequences in small space is a central problem for large-scale retrieval systems such as Web search engines. Efficient query resolution, e.g., intersection or random access, is achieved by carefully partitioning…

Information Retrieval · Computer Science 2019-07-23 Giulio Ermanno Pibiri

A classifier using byte n-grams as features is the only approach we have found fast enough to meet requirements in size (sub 2 MB), speed (multiple GB/s), and latency (sub 10 ms) for deployment in numerous malware detection scenarios.…

Cryptography and Security · Computer Science 2025-11-19 Edward Raff , Ryan R. Curtin , Derek Everett , Robert J. Joyce , James Holt
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