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Given a set $S$ of $n$ keys, a perfect hash function for $S$ maps the keys in $S$ to the first $m \geq n$ integers without collisions. It may return an arbitrary result for any key not in $S$ and is called minimal if $m = n$. The most…

数据结构与算法 · 计算机科学 2026-02-06 Hans-Peter Lehmann , Thomas Mueller , Rasmus Pagh , Giulio Ermanno Pibiri , Peter Sanders , Sebastiano Vigna , Stefan Walzer

In parameter estimation problems one computes a posterior distribution over uncertain parameters defined jointly by a prior distribution, a model, and noisy data. Markov Chain Monte Carlo (MCMC) is often used for the numerical solution of…

Due to its low storage cost and fast query speed, cross-modal hashing (CMH) has been widely used for similarity search in multimedia retrieval applications. However, almost all existing CMH methods are based on hand-crafted features which…

信息检索 · 计算机科学 2016-02-16 Qing-Yuan Jiang , Wu-Jun Li

Weighted minwise hashing is a standard dimensionality reduction technique with applications to similarity search and large-scale kernel machines. We introduce a simple algorithm that takes a weighted set $x \in \mathbb{R}_{\geq 0}^{d}$ and…

数据结构与算法 · 计算机科学 2020-05-26 Tobias Christiani

Given a set S of n keys, a k-perfect hash function (kPHF) is a data structure that maps the keys to the first m integers, where each output integer can be hit by at most k input keys. When m=n/k, the resulting function is called a minimal…

数据结构与算法 · 计算机科学 2025-07-03 Stefan Hermann , Sebastian Kirmayer , Hans-Peter Lehmann , Peter Sanders , Stefan Walzer

By constructing jointly a random graph and an associated exploration process, we define the dynamics of a "parking process" on a class of uniform random graphs as a measure-valued Markov process, representing the empirical degree…

概率论 · 数学 2015-04-14 Paola Bermolen , Matthieu Jonckheere , Pascal Moyal

Deep hashing has shown promising performance in large-scale image retrieval. However, latent codes extracted by Deep Neural Networks (DNNs) will inevitably lose semantic information during the binarization process, which damages the…

计算机视觉与模式识别 · 计算机科学 2022-01-13 Chengyin Xu , Zenghao Chai , Zhengzhuo Xu , Hongjia Li , Qiruyi Zuo , Lingyu Yang , Chun Yuan

Minimal perfect hash functions provide space-efficient and collision-free hashing on static sets. Existing algorithms and implementations that build such functions have practical limitations on the number of input elements they can process,…

数据结构与算法 · 计算机科学 2018-11-06 Antoine Limasset , Guillaume Rizk , Rayan Chikhi , Pierre Peterlongo

Given a set $S$ of $n$ distinct keys, a function $f$ that bijectively maps the keys of $S$ into the range $\{0,\ldots,n-1\}$ is called a minimal perfect hash function for $S$. Algorithms that find such functions when $n$ is large and retain…

数据结构与算法 · 计算机科学 2022-02-08 Giulio Ermanno Pibiri , Roberto Trani

We consider the task of performing Jaccard similarity queries over a large collection of items that are dynamically updated according to a streaming input model. An item here is a subset of a large universe $U$ of elements. A well-studied…

数据结构与算法 · 计算机科学 2025-03-11 Andrea Clementi , Luciano Gualà , Luca Pepè Sciarria , Alessandro Straziota

Momentum Iterative Hessian Sketch (M-IHS) techniques, a group of solvers for large scale regularized linear Least Squares (LS) problems, are proposed and analyzed in detail. Proposed M-IHS techniques are obtained by incorporating the Heavy…

最优化与控制 · 数学 2020-12-01 Ibrahim Kurban Ozaslan , Mert Pilanci , Orhan Arikan

In simulations, probabilistic algorithms and statistical tests, we often generate random integers in an interval (e.g., [0,s)). For example, random integers in an interval are essential to the Fisher-Yates random shuffle. Consequently,…

数据结构与算法 · 计算机科学 2019-06-10 Daniel Lemire

We propose a hash function based on arithmetic coding and public-key cryptography. The resistance of the hash function to second preimage attack, collision and differential cryptanalysis is based on the properties of arithmetic coding as a…

密码学与安全 · 计算机科学 2015-03-17 Rene Ndoundam , Juvet Karnel Sadie , Patrick Nguening Nguembu

Gibbs sampling is a Markov chain Monte Carlo method that is often used for learning and inference on graphical models. Minibatching, in which a small random subset of the graph is used at each iteration, can help make Gibbs sampling scale…

机器学习 · 计算机科学 2019-11-25 Ruqi Zhang , Christopher De Sa

Binary hashing is a well-known approach for fast approximate nearest-neighbor search in information retrieval. Much work has focused on affinity-based objective functions involving the hash functions or binary codes. These objective…

机器学习 · 计算机科学 2016-02-05 Miguel Á. Carreira-Perpiñán , Ramin Raziperchikolaei

Feature selection is an important part of building a machine learning model. By eliminating redundant or misleading features from data, the machine learning model can achieve better performance while reducing the demand on com-puting…

机器学习 · 计算机科学 2021-06-11 Song Tan , Xia He

In general, while obtaining the probability density function of sums and products of shifted random variables, ordinary analytical methods such as Fourier and Mellin transforms tend to provide integrals which cannot be expressed in terms of…

复变函数 · 数学 2013-02-14 Pushpa N. rathie , Arjun K. Rathie , Luan C. de S. M. Ozelim

Due to its low storage cost and fast query speed, hashing has been widely used in large-scale image retrieval tasks. Hash bucket search returns data points within a given Hamming radius to each query, which can enable search at a constant…

机器学习 · 计算机科学 2024-05-07 Ming-Wei Li , Qing-Yuan Jiang , Wu-Jun Li

A function $f : U \to \{0,\ldots,n-1\}$ is a minimal perfect hash function for a set $S \subseteq U$ of size $n$, if $f$ bijectively maps $S$ into the first $n$ natural numbers. These functions are important for many practical applications…

数据结构与算法 · 计算机科学 2023-08-08 Giulio Ermanno Pibiri , Roberto Trani

Along with data on the web increasing dramatically, hashing is becoming more and more popular as a method of approximate nearest neighbor search. Previous supervised hashing methods utilized similarity/dissimilarity matrix to get semantic…

计算机视觉与模式识别 · 计算机科学 2015-09-07 Jinma Guo , Jianmin Li