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The Jaccard similarity index is an important measure of the overlap of two sets, widely used in machine learning, computational genomics, information retrieval, and many other areas. We design and implement SimilarityAtScale, the first…

Computational Engineering, Finance, and Science · Computer Science 2020-11-12 Maciej Besta , Raghavendra Kanakagiri , Harun Mustafa , Mikhail Karasikov , Gunnar Rätsch , Torsten Hoefler , Edgar Solomonik

Metrics for set similarity are a core aspect of several data mining tasks. To remove duplicate results in a Web search, for example, a common approach looks at the Jaccard index between all pairs of pages. In social network analysis, a…

Social and Information Networks · Computer Science 2023-05-30 Igor Nunes , Mike Heddes , Pere Vergés , Danny Abraham , Alexander Veidenbaum , Alexandru Nicolau , Tony Givargis

Locality-sensitive hashing (LSH) is an effective randomized technique widely used in many machine learning tasks. The cost of hashing is proportional to data dimensions, and thus often the performance bottleneck when dimensionality is high…

Machine Learning · Computer Science 2023-09-28 Zongyuan Tan , Hongya Wang , Bo Xu , Minjie Luo , Ming Du

We present an I/O-efficient algorithm for computing similarity joins based on locality-sensitive hashing (LSH). In contrast to the filtering methods commonly suggested our method has provable sub-quadratic dependency on the data size.…

Data Structures and Algorithms · Computer Science 2017-03-29 Rasmus Pagh , Ninh Pham , Francesco Silvestri , Morten Stöckel

We present SLASH (Sketched LocAlity Sensitive Hashing), an MPI (Message Passing Interface) based distributed system for approximate similarity search over terabyte scale datasets. SLASH provides a multi-node implementation of the popular…

Databases · Computer Science 2020-08-19 Nicholas Meisburger , Anshumali Shrivastava

This paper proposes a new probabilistic classification algorithm using a Markov random field approach. The joint distribution of class labels is explicitly modelled using the distances between feature vectors. Intuitively, a class label…

Computation · Statistics 2010-06-02 Nial Friel , Anthony N. Pettitt

Minwise hashing (MinHash) is a standard algorithm widely used in the industry, for large-scale search and learning applications with the binary (0/1) Jaccard similarity. One common use of MinHash is for processing massive n-gram text…

Machine Learning · Statistics 2023-06-14 Xiaoyun Li , Ping Li

In this paper we provide a new efficient algorithm for approximately computing the profile maximum likelihood (PML) distribution, a prominent quantity in symmetric property estimation. We provide an algorithm which matches the previous best…

Data Structures and Algorithms · Computer Science 2020-11-06 Nima Anari , Moses Charikar , Kirankumar Shiragur , Aaron Sidford

Image similarity measures play an important role in nearest neighbor search and duplicate detection for large-scale image datasets. Recently, Minwise Hashing (or Minhash) and its related hashing algorithms have achieved great performances…

Multimedia · Computer Science 2018-07-11 Jun Long , Qunfeng Liu , Xinpan Yuan , Chengyuan Zhang , Junfeng Liu

Traditional minwise hashing (MinHash) requires applying $K$ independent permutations to estimate the Jaccard similarity in massive binary (0/1) data, where $K$ can be (e.g.,) 1024 or even larger, depending on applications. The recent work…

Data Structures and Algorithms · Computer Science 2021-09-13 Xiaoyun Li , Ping Li

One way to find closest pairs in large datasets is to use hash functions. In recent years locality-sensitive hash functions for various metrics have been given: projecting an n-cube onto k bits is simple hash function that performs well. In…

Information Theory · Computer Science 2009-10-15 Daniel M. Gordon , Victor Miller , Peter Ostapenko

Finding nearest neighbors in high-dimensional spaces is a fundamental operation in many multimedia retrieval applications. Exact tree-based indexing approaches are known to suffer from the notorious curse of dimensionality for…

Databases · Computer Science 2021-02-16 Omid Jafari , Parth Nagarkar

The problem of optimally scaling the proposal distribution in a Markov chain Monte Carlo algorithm is critical to the quality of the generated samples. Much work has gone into obtaining such results for various Metropolis-Hastings (MH)…

Computation · Statistics 2022-02-07 Sanket Agrawal , Dootika Vats , Krzysztof Łatuszyński , Gareth O. Roberts

Finding similar data in high-dimensional spaces is one of the important tasks in multimedia applications. Approaches introduced to find exact searching techniques often use tree-based index structures which are known to suffer from the…

Databases · Computer Science 2022-11-17 Omid Jafari , Parth Nagarkar

This paper considers properties of an optimization based sampler for targeting the posterior distribution when the likelihood is intractable and auxiliary statistics are used to summarize information in the data. Our reverse sampler…

Methodology · Statistics 2015-12-02 Jean-Jacques Forneron , Serena Ng

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…

Networking and Internet Architecture · Computer Science 2022-11-14 Guann-Yng Jiang , Cheng-Shang Chang

Several researchers have proposed minimisation of maximum mean discrepancy (MMD) as a method to quantise probability measures, i.e., to approximate a target distribution by a representative point set. We consider sequential algorithms that…

Machine Learning · Statistics 2021-02-15 Onur Teymur , Jackson Gorham , Marina Riabiz , Chris. J. Oates

Markov Chain Monte Carlo (MCMC) methods have a drawback when working with a target distribution or likelihood function that is computationally expensive to evaluate, specially when working with big data. This paper focuses on…

Machine Learning · Computer Science 2019-10-22 Asif J. Chowdhury , Gabriel Terejanu

In this paper, we propose a method for density-based clustering in high-dimensional spaces that combines Locality-Sensitive Hashing (LSH) with the Quick Shift algorithm. The Quick Shift algorithm, known for its hierarchical clustering…

Machine Learning · Computer Science 2025-12-01 Sajjad Hashemian

Locality Sensitive Hashing (LSH) is an effective method to index a set of points such that we can efficiently find the nearest neighbors of a query point. We extend this method to our novel Set-query LSH (SLSH), such that it can find the…

Data Structures and Algorithms · Computer Science 2020-04-23 Haim Kaplan , Jay Tenenbaum