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In this paper we analyze a hash function for $k$-partitioning a set into bins, obtaining strong concentration bounds for standard algorithms combining statistics from each bin. This generic method was originally introduced by Flajolet and…

Data Structures and Algorithms · Computer Science 2016-02-16 Søren Dahlgaard , Mathias Bæk Tejs Knudsen , Eva Rotenberg , Mikkel Thorup

The school timetabling problem can be described as scheduling a set of lessons (combination of classes, teachers, subjects and rooms) in a weekly timetable. This paper presents a novel way to generate timetables for high schools. The…

Artificial Intelligence · Computer Science 2013-09-16 Salman Hooshmand , Mehdi Behshameh , Omid Hamidi

Let $m$ be an odd positive integer and $D_m(\mathcal {A})$ be the $m$-periodic derived category of a finitary hereditary abelian category $\mathcal {A}$. In this note, we prove that there is an embedding of algebras from the derived Hall…

Representation Theory · Mathematics 2024-04-24 Haicheng Zhang , Xinran Zhang , Zhiwei Zhu

We construct cryptographic trilinear maps that involve simple, non-ordinary abelian varieties over finite fields. In addition to the discrete logarithm problems on the abelian varieties, the cryptographic strength of the trilinear maps is…

Cryptography and Security · Computer Science 2018-05-09 Ming-Deh A. Huang

The ultimate aim of handwriting recognition is to make computers able to read and/or authenticate human written texts, with a performance comparable to or even better than that of humans. Reading means that the computer is given a piece of…

Computer Vision and Pattern Recognition · Computer Science 2012-06-26 Manal A. Abdullah , Lulwah M. Al-Harigy , Hanadi H. Al-Fraidi

A hash table is said to be open-addressed (or non-obliviously open-addressed) if it stores elements (and free slots) in an array with no additional metadata. Intuitively, open-addressed hash tables must incur a space-time tradeoff: The…

Data Structures and Algorithms · Computer Science 2025-03-19 Michael A. Bender , William Kuszmaul , Renfei Zhou

cryptographic hash function is a deterministic procedure that compresses an arbitrary block of numerical data and returns a fixed-size bit string. There exist many hash functions: MD5, HAVAL, SHA, ... It was reported that these hash…

Cryptography and Security · Computer Science 2011-11-23 Rene Ndoundam , Juvet Karnel Sadie

Hashing method maps similar high-dimensional data to binary hashcodes with smaller hamming distance, and it has received broad attention due to its low storage cost and fast retrieval speed. Pairwise similarity is easily obtained and widely…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Shifeng Zhang , Jianmin Li , Bo Zhang

We study the expressive power of first-order logic with counting quantifiers, especially the $k$-variable and quantifier-rank-$q$ fragment $\mathsf{C}^k_q$, using homomorphism indistinguishability. Recently, Dawar, Jakl, and Reggio (2021)…

Logic in Computer Science · Computer Science 2023-08-14 Eva Fluck , Tim Seppelt , Gian Luca Spitzer

Hash based nearest neighbor search has become attractive in many applications. However, the quantization in hashing usually degenerates the discriminative power when using Hamming distance ranking. Besides, for large-scale visual search,…

Information Retrieval · Computer Science 2019-04-19 Xianglong Liu , Lei Huang , Cheng Deng , Bo Lang , Dacheng Tao

Dependently typed programming languages have become increasingly relevant in recent years. They have been adopted in industrial strength programming languages and have been extremely successful as the basis for theorem provers. There are…

Programming Languages · Computer Science 2024-04-09 Christophe Scholliers

It is inconceivable how chaotic the world would look to humans, faced with innumerable decisions a day to be made under uncertainty, had they been lacking the capacity to distinguish the relevant from the irrelevant---a capacity which…

Artificial Intelligence · Computer Science 2018-02-01 Ardavan S. Nobandegani , Ioannis N. Psaromiligkos

With the advantage of low storage cost and high retrieval efficiency, hashing techniques have recently been an emerging topic in cross-modal similarity search. As multiple modal data reflect similar semantic content, many researches aim at…

Machine Learning · Computer Science 2019-04-19 Jun Yu , Xiao-Jun Wu , Josef Kittler

With double hashing, for a key $x$, one generates two hash values $f(x)$ and $g(x)$, and then uses combinations $(f(x) +i g(x)) \bmod n$ for $i=0,1,2,...$ to generate multiple hash values in the range $[0,n-1]$ from the initial two. For…

Data Structures and Algorithms · Computer Science 2015-03-03 Michael Mitzenmacher

We propound the thesis that there is a limitation to the number of possible structures which are axiomatically endowed with identities involving operations. In the case of algebras with a binary operation satisfying a formally reducible (to…

Rings and Algebras · Mathematics 2007-05-23 Constantin M. Petridi , P. B. Krikelis

We study a conjecture due to Dallard, Krnc, Kwon, Milani\v{c}, Munaro, \v{S}torgel, and Wiederrecht stating that for any positive integer $d$ and any planar graph $H$, the class of all $K_{1,d}$-free graphs without $H$ as an induced minor…

Combinatorics · Mathematics 2025-06-11 Mujin Choi , Claire Hilaire , Martin Milanič , Sebastian Wiederrecht

We present a technical evaluation of a new, disruptive cryptographic approach to data security, known as HbHAI (Hash-based Homomorphic Artificial Intelligence). HbHAI is based on a novel class of key-dependent hash functions that naturally…

Cryptography and Security · Computer Science 2025-06-16 Eric Filiol

Label information is widely used in hashing methods because of its effectiveness of improving the precision. The existing hashing methods always use two different projections to represent the mutual regression between hash codes and class…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Xingbo Liu , Xiushan Nie , Yilong Yin

With the rapid growth of web images, hashing has received increasing interests in large scale image retrieval. Research efforts have been devoted to learning compact binary codes that preserve semantic similarity based on labels. However,…

Computer Vision and Pattern Recognition · Computer Science 2015-04-21 Fang Zhao , Yongzhen Huang , Liang Wang , Tieniu Tan

An independent set in a graph $G$ is a set of pairwise non-adjacent vertices. A tree decomposition of $G$ is a pair $(T, \chi)$ where $T$ is a tree and $\chi : V(T) \rightarrow 2^{V(G)}$ is a function satisfying the following two axioms:…

Combinatorics · Mathematics 2026-05-07 Maria Chudnovsky , Ajaykrishnan E S , Daniel Lokshtanov