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Recently, the method of b-bit minwise hashing has been applied to large-scale linear learning and sublinear time near-neighbor search. The major drawback of minwise hashing is the expensive preprocessing cost, as the method requires…

机器学习 · 计算机科学 2012-08-08 Ping Li , Art Owen , Cun-Hui Zhang

Hashing method maps similar data to binary hashcodes with smaller hamming distance, and it has received a broad attention due to its low storage cost and fast retrieval speed. However, the existing limitations make the present algorithms…

计算机视觉与模式识别 · 计算机科学 2016-09-29 Shifeng Zhang , Jianmin Li , Jinma Guo , Bo Zhang

We propose a scalable divergence estimation method based on hashing. Consider two continuous random variables $X$ and $Y$ whose densities have bounded support. We consider a particular locality sensitive random hashing, and consider the…

信息论 · 计算机科学 2018-01-03 Morteza Noshad , Alfred O. Hero

We describe a consistent hashing algorithm which performs multiple lookups per key in a hash table of nodes. It requires no additional storage beyond the hash table, and achieves a peak-to-average load ratio of 1 + epsilon with just 1 +…

数据结构与算法 · 计算机科学 2015-05-04 Ben Appleton , Michael O'Reilly

We study the complexity of optimizing highly smooth convex functions. For a positive integer $p$, we want to find an $\epsilon$-approximate minimum of a convex function $f$, given oracle access to the function and its first $p$ derivatives,…

最优化与控制 · 数学 2021-12-06 Ankit Garg , Robin Kothari , Praneeth Netrapalli , Suhail Sherif

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…

数据结构与算法 · 计算机科学 2025-03-19 Michael A. Bender , William Kuszmaul , Renfei Zhou

The algorithmic tasks of computing the Hamming distance between a given pattern of length $m$ and each location in a text of length $n$ is one of the most fundamental algorithmic tasks in string algorithms. Unfortunately, there is evidence…

数据结构与算法 · 计算机科学 2015-12-15 Tsvi Kopelowitz , Ely Porat

We study the min-max optimization problem where each function contributing to the max operation is strongly-convex and smooth with bounded gradient in the search domain. By smoothing the max operator, we show the ability to achieve an…

最优化与控制 · 数学 2019-05-31 Hakan Gokcesu , Kaan Gokcesu , Suleyman Serdar Kozat

An algorithm for unconstrained non-convex optimization is described, which does not evaluate the objective function and in which minimization is carried out, at each iteration, within a randomly selected subspace. It is shown that this…

最优化与控制 · 数学 2025-01-31 S. Bellavia , S. Gratton , B. Morini , Ph. L. Toint

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

The purpose of this paper is to extend the result of arXiv:1810.00823 to mixed H\"older functions on $[0,1]^d$ for all $d \ge 1$. In particular, we prove that by sampling an $\alpha$-mixed H\"older function $f : [0,1]^d \rightarrow…

经典分析与常微分方程 · 数学 2019-10-11 Nicholas F. Marshall

We describe a distributed randomized algorithm computing approximate distances and routes that approximate shortest paths. Let n denote the number of nodes in the graph, and let HD denote the hop diameter of the graph, i.e., the diameter of…

分布式、并行与集群计算 · 计算机科学 2012-11-05 Christoph Lenzen , Boaz Patt-Shamir

A $k$-truss is an edge-induced subgraph $H$ such that each of its edges belongs to at least $k-2$ triangles of $H$. This notion has been introduced around ten years ago in social network analysis and security, as a form of cohesive subgraph…

数据结构与算法 · 计算机科学 2020-10-05 Alessio Conte , Roberto Grossi , Andrea Marino , Luca Versari

We propose a simple distributed algorithm for balancing indivisible tokens on graphs. The algorithm is completely deterministic, though it tries to imitate (and enhance) a random algorithm by keeping the accumulated rounding errors as small…

数据结构与算法 · 计算机科学 2013-04-22 Tobias Friedrich , Martin Gairing , Thomas Sauerwald

We develop a scalable algorithm to learn binary hash codes for indexing large-scale datasets. Near-isometric binary hashing (NIBH) is a data-dependent hashing scheme that quantizes the output of a learned low-dimensional embedding to obtain…

数据结构与算法 · 计算机科学 2016-03-15 Amirali Aghazadeh , Andrew Lan , Anshumali Shrivastava , Richard Baraniuk

In this paper we identify a new class of sparse near-quadratic random Boolean matrices that have full row rank over $\mathbb{F}_2=\{0,1\}$ with high probability and can be transformed into echelon form in almost linear time by a simple…

数据结构与算法 · 计算机科学 2019-11-13 Martin Dietzfelbinger , Stefan Walzer

Despite being one of the oldest data structures in computer science, hash tables continue to be the focus of a great deal of both theoretical and empirical research. A central reason for this is that many of the fundamental properties that…

数据结构与算法 · 计算机科学 2023-10-24 Michael A. Bender , Alex Conway , Martín Farach-Colton , William Kuszmaul , Guido Tagliavini

Perfect hash functions can potentially be used to compress data in connection with a variety of data management tasks. Though there has been considerable work on how to construct good perfect hash functions, there is a gap between theory…

数据结构与算法 · 计算机科学 2007-05-23 Fabiano C. Botelho , Rasmus Pagh , Nivio Ziviani

Typical retrieval systems have three requirements: a) Accurate retrieval i.e., the method should have high precision, b) Diverse retrieval, i.e., the obtained set of points should be diverse, c) Retrieval time should be small. However, most…

信息检索 · 计算机科学 2020-08-25 Vidyadhar Rao , Prateek Jain , C. V Jawahar

Hashing produces compact representations for documents, to perform tasks like classification or retrieval based on these short codes. When hashing is supervised, the codes are trained using labels on the training data. This paper first…

计算机视觉与模式识别 · 计算机科学 2017-08-11 Alexandre Sablayrolles , Matthijs Douze , Hervé Jégou , Nicolas Usunier