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In this paper we prove that Dijkstra's shortest-path algorithm, if implemented with a sufficiently efficient heap, is universally optimal in its running time, and with suitable small additions is also universally optimal in its number of…

Data Structures and Algorithms · Computer Science 2025-05-08 Bernhard Haeupler , Richard Hladík , Václav Rozhoň , Robert E. Tarjan , Jakub Tětek

We present Quip, a lossless compression algorithm for next-generation sequencing data in the FASTQ and SAM/BAM formats. In addition to implementing reference-based compression, we have developed, to our knowledge, the first assembly-based…

Quantitative Methods · Quantitative Biology 2012-07-11 Daniel C. Jones , Walter L. Ruzzo , Xinxia Peng , Michael G. Katze

The number of parameters in deep neural networks (DNNs) is rapidly increasing to support complicated tasks and to improve model accuracy. Correspondingly, the amount of computations and required memory footprint increase as well.…

Machine Learning · Computer Science 2020-09-01 Yongkweon Jeon , Baeseong Park , Se Jung Kwon , Byeongwook Kim , Jeongin Yun , Dongsoo Lee

Hashmaps are widely utilized data structures in many applications to perform a probe on key-value pairs. However, their performance tends to degrade with the increase in the dataset size, which leads to expensive off-chip memory accesses to…

Hardware Architecture · Computer Science 2023-07-03 Akhil Shekar , Morteza Baradaran , Sabiha Tajdari , Kevin Skadron

A theoretical memory with limited processing power and internal connectivity at each element is proposed. This memory carries out parallel processing within itself to solve generic array problems. The applicability of this in-memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-28 Chengpu Wang

All-pairs shortest paths (APSP) remains a major bottleneck for large-scale graph analytics, as data movement with cubic complexity overwhelms the bandwidth of conventional memory hierarchies. In this work, we propose RAPID-Graph to address…

Hardware Architecture · Computer Science 2026-01-29 Yanru Chen , Zheyu Li , Keming Fan , Runyang Tian , John Hsu , Weihong Xu , Minxuan Zhou , Tajana Rosing

In-memory database query processing frequently involves substantial data transfers between the CPU and memory, leading to inefficiencies due to Von Neumann bottleneck. Processing-in-Memory (PIM) architectures offer a viable solution to…

An $N$-point FFT admits many valid implementations that differ in radix choice, stage ordering, and register-blocking strategy. These alternatives use different SIMD instruction mixes with different latencies, yet produce the same…

Performance · Computer Science 2026-04-07 Mohamed Amine Bergach

With the increasing size of datasets and demand for real time response for interactive applications, improving runtime for algorithms with excessive computational requirements has become increasingly important. Many different algorithms…

Computer Vision and Pattern Recognition · Computer Science 2019-05-09 Magnus Gedda

All traditional methods of computing shortest paths depend upon edge-relaxation where the cost of reaching a vertex from a source vertex is possibly decreased if that edge is used. We introduce a method which maintains lower bounds as well…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-31 Vijay K. Garg

The ever-increasing size and computational complexity of today's machine-learning algorithms pose an increasing strain on the underlying hardware. In this light, novel and dedicated architectural solutions are required to optimize energy…

Hardware Architecture · Computer Science 2022-12-20 Pengbo Yu , Alexandre Levisse , Mohit Gupta , Evenblij Timon , Giovanni Ansaloni , Francky Catthoor , David Atienza

Rank and select data structures seek to preprocess a bit vector to quickly answer two kinds of queries: rank(i) gives the number of 1 bits in slots 0 through i, and select(j) gives the first slot s with rank(s) = j. A succinct data…

Data Structures and Algorithms · Computer Science 2024-05-09 Matthew D. Laws , Jocelyn Bliven , Kit Conklin , Elyes Laalai , Samuel McCauley , Zach S. Sturdevant

In a private database query scheme (PDQ), a server maintains a database, and users send queries to retrieve records of interest from the server while keeping their queries private. A crucial step in PDQ protocols based on homomorphic…

Cryptography and Security · Computer Science 2024-09-02 Jung Hee Cheon , Keewoo Lee , Jai Hyun Park , Yongdong Yeo

With the rapid explosion of data volume from mobile networks, edge caching has received significant attentions as an efficient approach to boost content delivery efficiency by bringing contents near users. In this article, cache-enabled…

Information Theory · Computer Science 2020-08-13 Congshan Fan , Tiankui Zhang , Yuanwei Liu , Zhiming Zeng

We show the $O(\log n)$ time extract minimum function of efficient priority queues can be generalized to the extraction of the $k$ smallest elements in $O(k \log(n/k))$ time (we define $\log(x)$ as $\max(\log_2(x), 1)$.), which we prove…

Data Structures and Algorithms · Computer Science 2022-01-11 Bryce Sandlund , Lingyi Zhang

We study ranked enumeration of join-query results according to very general orders defined by selective dioids. Our main contribution is a framework for ranked enumeration over a class of dynamic programming problems that generalizes…

Databases · Computer Science 2020-09-15 Nikolaos Tziavelis , Deepak Ajwani , Wolfgang Gatterbauer , Mirek Riedewald , Xiaofeng Yang

This paper introduces a novel and efficient partitioning technique for quicksort, specifically designed for real-world data with duplicate elements (50-year-old problem). The method is referred to as "equal quicksort" or "eqsort". Based on…

Data Structures and Algorithms · Computer Science 2025-03-12 Parviz Afereidoon

This paper initiates the study of I/O algorithms (minimizing cache misses) from the perspective of fine-grained complexity (conditional polynomial lower bounds). Specifically, we aim to answer why sparse graph problems are so hard, and why…

Data Structures and Algorithms · Computer Science 2017-12-06 Erik D. Demaine , Andrea Lincoln , Quanquan C. Liu , Jayson Lynch , Virginia Vassilevska Williams

We present a data structure that stores a sequence $s[1..n]$ over alphabet $[1..\sigma]$ in $n\Ho(s) + o(n)(\Ho(s){+}1)$ bits, where $\Ho(s)$ is the zero-order entropy of $s$. This structure supports the queries \access, \rank\ and \select,…

Data Structures and Algorithms · Computer Science 2012-04-03 Jeremy Barbay , Francisco Claude , Travis Gagie , Gonzalo Navarro , Yakov Nekrich

A long series of recent results and breakthroughs have led to faster and better distributed approximation algorithms for single source shortest paths (SSSP) and related problems in the CONGEST model. The runtime of all these algorithms,…

Data Structures and Algorithms · Computer Science 2018-08-09 Bernhard Haeupler , Jason Li
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