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Determining whether an unordered collection of overlapping substrings (called shingles) can be uniquely decoded into a consistent string is a problem that lies within the foundation of a broad assortment of disciplines ranging from…

Discrete Mathematics · Computer Science 2012-04-17 Aryeh Kontorovich , Ari Trachtenberg

In a software watermarking environment, several graph theoretic watermark methods use numbers as watermark values, where some of these methods encode the watermark numbers as graph structures. In this paper we extended the class of error…

Data Structures and Algorithms · Computer Science 2011-10-07 Maria Chroni , Stavros D. Nikolopoulos

We show an improved lower bound for the Fp estimation problem in a data stream setting for p>2. A data stream is a sequence of items from the domain [n] with possible repetitions. The frequency vector x is an n-dimensional non-negative…

Data Structures and Algorithms · Computer Science 2015-03-19 Sumit Ganguly

We study the classical problem of moment estimation of an underlying vector whose $n$ coordinates are implicitly defined through a series of updates in a data stream. We show that if the updates to the vector arrive in the random-order…

Data Structures and Algorithms · Computer Science 2022-07-08 David P. Woodruff , Samson Zhou

A model for quantum tunnelling of a cluster comprising A identical particles, coupled by oscillator-type potential, through short-range repulsive potential barriers is introduced for the first time in the new symmetrized-coordinate…

The number of triangles in a graph is a fundamental metric, used in social network analysis, link classification and recommendation, and more. Driven by these applications and the trend that modern graph datasets are both large and dynamic,…

Databases · Computer Science 2013-08-12 Kanat Tangwongsan , A. Pavan , Srikanta Tirthapura

Many of the existing sentiment analysis techniques are based on supervised learning, and they demand the availability of valuable training datasets to train their models. When dataset freshness is critical, the annotating of high speed…

Databases · Computer Science 2022-03-24 Huilin Wu , Mian Lu , Zhao Zheng , Shuhao Zhang

This paper introduces a novel approach to enumerate and assess Trapping sets in quasi-cyclic codes, those with circulant sizes that are non-prime numbers. Leveraging the quasi-cyclic properties, the method employs a tabular technique to…

Information Theory · Computer Science 2024-01-29 Vasiliy Usatyuk , Yury Kuznetsov , Sergey Egorov

Cryptographic systems are derived using units in group rings. Combinations of types of units in group rings give units not of any particular type. This includes cases of taking powers of units and products of such powers and adds the…

Group Theory · Mathematics 2020-04-14 Barry Hurley , Ted Hurley

So far, quantum key distribution (QKD) has been the main subject in the field of quantum cryptography, but that is not quantum cryptographic communication, it is only the ability to send keys for cryptographic purposes. To complete…

Quantum Physics · Physics 2022-06-07 Masaki Sohma , Osamu Hirota

In this paper, we propose a practically efficient model for securely computing rank-based statistics, e.g., median, percentiles and quartiles, over distributed datasets in the malicious setting without leaking individual data privacy. Based…

Cryptography and Security · Computer Science 2023-02-17 Nan Wang , Sid Chi-Kin Chau

Compressed Counting (CC), based on maximally skewed stable random projections, was recently proposed for estimating the p-th frequency moments of data streams. The case p->1 is extremely useful for estimating Shannon entropy of data…

Data Structures and Algorithms · Computer Science 2009-10-09 Ping Li

We introduce the notion of an oriented Steiner quasigroup and develop elements of a relevant algebraic apparatus. The approach is based upon (modified) Schreier-type $f$-extensions for quasigroups (cf. earlier works \cite{S, NSt, NSt2})…

Group Theory · Mathematics 2015-05-07 Izabella Stuhl

The problem of computing modulo prime-power sums is investigated in distributed source coding as well as computation over Multiple-Access Channel (MAC). We build upon group codes and present a new class of codes called Quasi Group Codes…

Information Theory · Computer Science 2016-11-17 Mohsen Heidari , S. Sandeep Pradhan

The classic way of computing a $k$-universal hash function is to use a random degree-$(k-1)$ polynomial over a prime field $\mathbb Z_p$. For a fast computation of the polynomial, the prime $p$ is often chosen as a Mersenne prime $p=2^b-1$.…

Data Structures and Algorithms · Computer Science 2021-05-07 Thomas Dybdahl Ahle , Jakob Tejs Bæk Knudsen , Mikkel Thorup

Stellar streams are sensitive probes of the Galactic potential. The likelihood of a stream model given stream data is often assessed using simulations. However, comparing to simulations is challenging when even the stream paths can be hard…

Astrophysics of Galaxies · Physics 2023-05-03 Nathaniel Starkman , Jo Bovy , Jeremy J. Webb , Daniela Calvetti , Erkki Somersalo

State-of-the-art parallel sorting algorithms for distributed-memory architectures are based on computing a balanced partitioning via sampling and histogramming. By finding samples that partition the sorted keys into evenly-sized chunks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-30 Wentao Yang , Vipul Harsh , Edgar Solomonik

While there are software systems that simplify trajectory streams on the fly, few curve simplification algorithms with quality guarantees fit the streaming requirements. We present streaming algorithms for two such problems under the…

Computational Geometry · Computer Science 2025-08-04 Siu-Wing Cheng , Haoqiang Huang , Le Jiang

Graph partitioning plays a vital role in distributedlarge-scale web graph analytics, such as pagerank and labelpropagation. The quality and scalability of partitioning strategyhave a strong impact on such communication- and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-04 Deyu Kong , Xike Xie , Zhuoxu Zhang

Compression techniques that support fast random access are a core component of any information system. Current state-of-the-art methods group documents into fixed-sized blocks and compress each block with a general-purpose adaptive…

Data Structures and Algorithms · Computer Science 2015-03-19 Christopher Hoobin , Simon J. Puglisi , Justin Zobel
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