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For a metric space $(X, d)$, a family $\mathcal{H}$ of locality sensitive hash functions is called $(r, cr, p_1, p_2)$ sensitive if a randomly chosen function $h\in \mathcal{H}$ has probability at least $p_1$ (at most $p_2$) to map any $a,…

计算几何 · 计算机科学 2026-03-23 Chengyuan Deng , Jie Gao , Kevin Lu , Feng Luo , Cheng Xin

Existing methods for retrieving k-nearest neighbours suffer from the curse of dimensionality. We argue this is caused in part by inherent deficiencies of space partitioning, which is the underlying strategy used by most existing methods. We…

数据结构与算法 · 计算机科学 2017-04-07 Ke Li , Jitendra Malik

Data similarity (or distance) computation is a fundamental research topic which fosters a variety of similarity-based machine learning and data mining applications. In big data analytics, it is impractical to compute the exact similarity of…

数据结构与算法 · 计算机科学 2025-03-12 Wei Wu , Bin Li

Scalar field comparison is a fundamental task in scientific visualization. In topological data analysis, we compare topological descriptors of scalar fields -- such as persistence diagrams and merge trees -- because they provide succinct…

计算几何 · 计算机科学 2024-09-18 Weiran Lyu , Raghavendra Sridharamurthy , Jeff M. Phillips , Bei Wang

Automatic crash bucketing is a crucial phase in the software development process for efficiently triaging bug reports. It generally consists in grouping similar reports through clustering techniques. However, with real-time streaming bug…

软件工程 · 计算机科学 2023-10-11 Youcef Remil , Anes Bendimerad , Romain Mathonat , Chedy Raissi , Mehdi Kaytoue

Recently, inspired by Transformer, self-attention-based scene text recognition approaches have achieved outstanding performance. However, we find that the size of model expands rapidly with the lexicon increasing. Specifically, the number…

计算机视觉与模式识别 · 计算机科学 2020-09-24 Bingcong Li , Xin Tang , Xianbiao Qi , Yihao Chen , Rong Xiao

We present a new locality sensitive hashing (LSH) algorithm for $c$-approximate nearest neighbor search in $\ell_p$ with $1<p<2$. For a database of $n$ points in $\ell_p$, we achieve $O(dn^{\rho})$ query time and $O(dn+n^{1+\rho})$ space,…

数据结构与算法 · 计算机科学 2013-06-18 Huy L. Nguyen

MinHash and SimHash are the two widely adopted Locality Sensitive Hashing (LSH) algorithms for large-scale data processing applications. Deciding which LSH to use for a particular problem at hand is an important question, which has no clear…

统计计算 · 统计学 2014-07-17 Anshumali Shrivastava , Ping Li

In recent years, a lot of attention has been devoted to efficient nearest neighbor search by means of similarity-preserving hashing. One of the plights of existing hashing techniques is the intrinsic trade-off between performance and…

计算机视觉与模式识别 · 计算机科学 2014-02-18 Jonathan Masci , Alex M. Bronstein , Michael M. Bronstein , Pablo Sprechmann , Guillermo Sapiro

The multichannel rendezvous problem is a fundamental problem for neighbor discovery in many IoT applications. The existing works in the literature focus mostly on improving the worst-case performance, and the average-case performance is…

网络与互联网体系结构 · 计算机科学 2022-11-14 Guann-Yng Jiang , Cheng-Shang Chang

Locality-sensitive hashing (LSH) has found widespread use as a fundamental primitive, particularly to accelerate nearest neighbor search. An LSH scheme for a similarity function $S:\mathcal{X} \times \mathcal{X} \to [0,1]$ is a distribution…

数据结构与算法 · 计算机科学 2026-05-13 Flavio Chierichetti , Mirko Giacchini , Ravi Kumar , Erasmo Tani

Similarity-preserving hashing is a widely-used method for nearest neighbour search in large-scale image retrieval tasks. There has been considerable research on generating efficient image representation via the deep-network-based hashing…

计算机视觉与模式识别 · 计算机科学 2017-10-20 Hanjiang Lai , Yan Pan

We study the problem of approximating Hamming distance in sublinear time under property-preserving hashing (PPH), where only hashed representations of inputs are available. Building on the threshold evaluation framework of Fleischhacker,…

计算复杂性 · 计算机科学 2025-03-25 Dongfang Zhao

Retrieval-augmented generation (RAG) improves the reliability of large language model (LLM) answers by integrating external knowledge. However, RAG increases the end-to-end inference time since looking for relevant documents from large…

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. There are several variants of the similarity search problem, and one of the most relevant is the $r$-near neighbor ($r$-NN) problem:…

数据结构与算法 · 计算机科学 2020-06-16 Martin Aumüller , Rasmus Pagh , Francesco Silvestri

We show an optimal data-dependent hashing scheme for the approximate near neighbor problem. For an $n$-point data set in a $d$-dimensional space our data structure achieves query time $O(d n^{\rho+o(1)})$ and space $O(n^{1+\rho+o(1)} +…

数据结构与算法 · 计算机科学 2015-07-17 Alexandr Andoni , Ilya Razenshteyn

This paper introduces "Multi-Level Spherical LSH": parameter-free, a multi-level, data-dependant Locality Sensitive Hashing data structure for solving the Approximate Near Neighbors Problem (ANN). This data structure uses a modified version…

数据结构与算法 · 计算机科学 2017-09-19 Teresa Nicole Brooks , Rania Almajalid

We present the first provably sublinear time algorithm for approximate \emph{Maximum Inner Product Search} (MIPS). Our proposal is also the first hashing algorithm for searching with (un-normalized) inner product as the underlying…

机器学习 · 统计学 2014-05-23 Anshumali Shrivastava , Ping Li

Nearest Neighbor(s) search is the fundamental computational primitive to tackle massive dataset. Locality Sensitive Hashing (LSH) has been a bracing tool for Nearest Neighbor(s) search in high dimensional spaces. However, traditional LSH…

分布式、并行与集群计算 · 计算机科学 2016-05-24 Nan Zhu , Wenbo He , Xue Liu , Yu Hua

Hashing has been widely used for efficient similarity search based on its query and storage efficiency. To obtain better precision, most studies focus on designing different objective functions with different constraints or penalty terms…

数据结构与算法 · 计算机科学 2018-10-02 Xingbo Liu , Xiushan Nie , Yilong Yin