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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…

Machine Learning · Statistics 2014-05-23 Anshumali Shrivastava , Ping Li

Locality sensitive hashing (LSH) is a powerful tool for sublinear-time approximate nearest neighbor search, and a variety of hashing schemes have been proposed for different dissimilarity measures. However, hash codes significantly depend…

Locality-sensitive hashing (LSH) is a fundamental technique for similarity search and similarity estimation in high-dimensional spaces. The basic idea is that similar objects should produce hash collisions with probability significantly…

Computational Geometry · Computer Science 2017-09-25 Joachim Gudmundsson , Rasmus Pagh

Recently it was shown that the problem of Maximum Inner Product Search (MIPS) is efficient and it admits provably sub-linear hashing algorithms. Asymmetric transformations before hashing were the key in solving MIPS which was otherwise…

Machine Learning · Statistics 2014-11-14 Anshumali Shrivastava , Ping Li

Locality-sensitive hashing (LSH) is an important tool for managing high-dimensional noisy or uncertain data, for example in connection with data cleaning (similarity join) and noise-robust search (similarity search). However, for a number…

Data Structures and Algorithms · Computer Science 2018-04-18 Martin Aumüller , Tobias Christiani , Rasmus Pagh , Francesco Silvestri

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

Minwise hashing (Minhash) is a widely popular indexing scheme in practice. Minhash is designed for estimating set resemblance and is known to be suboptimal in many applications where the desired measure is set overlap (i.e., inner product…

Machine Learning · Statistics 2014-11-17 Anshumali Shrivastava , Ping Li

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…

Data Structures and Algorithms · Computer Science 2025-03-12 Wei Wu , Bin Li

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

We propose a new class of data-independent locality-sensitive hashing (LSH) algorithms based on the fruit fly olfactory circuit. The fundamental difference of this approach is that, instead of assigning hashes as dense points in a low…

Machine Learning · Computer Science 2018-12-06 Jaiyam Sharma , Saket Navlakha

LSH (locality sensitive hashing) had emerged as a powerful technique in nearest-neighbor search in high dimensions [IM98, HIM12]. Given a point set $P$ in a metric space, and given parameters $r$ and $\varepsilon > 0$, the task is to…

Computational Geometry · Computer Science 2017-04-11 Sariel Har-Peled , Sepideh Mahabadi

Locality Sensitive Hashing (LSH) is an effective method of indexing a set of items to support efficient nearest neighbors queries in high-dimensional spaces. The basic idea of LSH is that similar items should produce hash collisions with…

Data Structures and Algorithms · Computer Science 2021-02-22 Haim Kaplan , Jay Tenenbaum

We consider a new construction of locality-sensitive hash functions for Hamming space that is \emph{covering} in the sense that is it guaranteed to produce a collision for every pair of vectors within a given radius $r$. The construction is…

Data Structures and Algorithms · Computer Science 2016-01-08 Rasmus Pagh

Fast item ranking is an important task in recommender systems. In previous works, graph-based Approximate Nearest Neighbor (ANN) approaches have demonstrated good performance on item ranking tasks with generic searching/matching measures…

Information Retrieval · Computer Science 2022-11-02 Khoa Doan , Shulong Tan , Weijie Zhao , Ping Li

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…

Computation · Statistics 2014-07-17 Anshumali Shrivastava , Ping Li

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

Similarity search queries in high-dimensional spaces are an important type of queries in many domains such as image processing, machine learning, etc. Since exact similarity search indexing techniques suffer from the well-known curse of…

Databases · Computer Science 2019-07-30 Omid Jafari , John Ossorgin , Parth Nagarkar

Similarity search is critical for many database applications, including the increasingly popular online services for Content-Based Multimedia Retrieval (CBMR). These services, which include image search engines, must handle an overwhelming…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-16 Thiago S. F. X. Teixeira , George Teodoro , Eduardo Valle , Joel H. Saltz

Finding nearest neighbors in high-dimensional spaces is a fundamental operation in many diverse application domains. Locality Sensitive Hashing (LSH) is one of the most popular techniques for finding approximate nearest neighbor searches in…

Databases · Computer Science 2021-02-18 Omid Jafari , Preeti Maurya , Parth Nagarkar , Khandker Mushfiqul Islam , Chidambaram Crushev

Neyshabur and Srebro proposed Simple-LSH, which is the state-of-the-art hashing method for maximum inner product search (MIPS) with performance guarantee. We found that the performance of Simple-LSH, in both theory and practice, suffers…

Machine Learning · Computer Science 2018-10-23 Xiao Yan , Jinfeng Li , Xinyan Dai , Hongzhi Chen , James Cheng
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