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Approximate nearest neighbor search (ANN) data structures have widespread applications in machine learning, computational biology, and text processing. The goal of ANN is to preprocess a set S so that, given a query q, we can find a point y…

Data Structures and Algorithms · Computer Science 2024-07-03 Samuel McCauley

We study the Approximate Nearest Neighbor (ANN) problem under a powerful adaptive adversary that controls both the dataset and a sequence of $Q$ queries. Primarily, for the high-dimensional regime of $d = \omega(\sqrt{Q})$, we introduce a…

Data Structures and Algorithms · Computer Science 2026-01-05 Alexandr Andoni , Themistoklis Haris , Esty Kelman , Krzysztof Onak

We present ElasticHash, a novel approach for high-quality, efficient, and large-scale semantic image similarity search. It is based on a deep hashing model to learn hash codes for fine-grained image similarity search in natural images and a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-10 Nikolaus Korfhage , Markus Mühling , Bernd Freisleben

This paper addresses the Restricted Longest Common Subsequence (RLCS) problem, an extension of the well-known Longest Common Subsequence (LCS) problem. This problem has significant applications in bioinformatics, particularly for…

Artificial Intelligence · Computer Science 2024-10-17 Marko Djukanović , Jaume Reixach , Ana Nikolikj , Tome Eftimov , Aleksandar Kartelj , Christian Blum

Both astronomy and biology are experiencing explosive growth of data, resulting in a "big data" problem that stands in the way of a "big data" opportunity for discovery. One common question asked of such data is that of approximate search…

Data Structures and Algorithms · Computer Science 2019-11-12 Najib Ishaq , George Student , Noah M. Daniels

We present the first provable Least-Squares Value Iteration (LSVI) algorithms that have runtime complexity sublinear in the number of actions. We formulate the value function estimation procedure in value iteration as an approximate maximum…

Data Structures and Algorithms · Computer Science 2021-06-09 Anshumali Shrivastava , Zhao Song , Zhaozhuo Xu

Consistent hashing is fundamental to distributed systems, but ring-based schemes can exhibit high peak-to-average load ratios unless they use many virtual nodes, while multi-probe methods improve balance at the cost of scattered memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-30 Yongjie Guan

All pairs similarity search is a problem where a set of data objects is given and the task is to find all pairs of objects that have similarity above a certain threshold for a given similarity measure-of-interest. When the number of points…

Information Retrieval · Computer Science 2016-06-29 Aniket Chakrabarti , Srinivasan Parthasarathy

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:…

Data Structures and Algorithms · Computer Science 2020-06-16 Martin Aumüller , Rasmus Pagh , Francesco Silvestri

We study the problem of domain search where a domain is a set of distinct values from an unspecified universe. We use Jaccard set containment, defined as $|Q \cap X|/|Q|$, as the relevance measure of a domain $X$ to a query domain $Q$. Our…

Databases · Computer Science 2016-07-26 Erkang Zhu , Fatemeh Nargesian , Ken Q. Pu , Renée J. Miller

We revisit the classic combinatorial pattern matching problem of finding a longest common subsequence (LCS). For strings $x$ and $y$ of length $n$, a textbook algorithm solves LCS in time $O(n^2)$, but although much effort has been spent,…

Computational Complexity · Computer Science 2018-03-05 Karl Bringmann , Marvin Künnemann

The landmark multi-dimensional scaling (LMDS) is a leading method that embeds new points to an existing coordinate system based on observed distance information. It has long been known as a variant of Nystr\"{o}m algorithm. It was recently…

Optimization and Control · Mathematics 2025-09-16 Ting Ouyang , Lingchen Kong , Houduo Qi

This work suggests faster and space-efficient index construction algorithms for LSH for Euclidean distance (\textit{a.k.a.}~\ELSH) and cosine similarity (\textit{a.k.a.}~\SRP). The index construction step of these LSHs relies on grouping…

Data Structures and Algorithms · Computer Science 2025-07-18 Bhisham Dev Verma , Rameshwar Pratap

Locality Sensitive Filters are known for offering a quasi-linear space data structure with rigorous guarantees for the Approximate Near Neighbor search (ANN) problem. Building on Locality Sensitive Filters, we derive a simple data structure…

Data Structures and Algorithms · Computer Science 2025-05-05 Martin Aumüller , Fabrizio Boninsegna , Francesco Silvestri

We present a new data structure for the c-approximate near neighbor problem (ANN) in the Euclidean space. For n points in R^d, our algorithm achieves O(n^{\rho} + d log n) query time and O(n^{1 + \rho} + d log n) space, where \rho <=…

Data Structures and Algorithms · Computer Science 2013-10-09 Alexandr Andoni , Piotr Indyk , Huy L. Nguyen , Ilya Razenshteyn

Hashing is one of the most popular and powerful approximate nearest neighbor search techniques for large-scale image retrieval. Most traditional hashing methods first represent images as off-the-shelf visual features and then produce…

Computer Vision and Pattern Recognition · Computer Science 2016-12-13 Xiaofang Wang , Yi Shi , Kris M. Kitani

In this paper, we consider the problem of classification of $M$ high dimensional queries $y^1,\cdots,y^M\in B^S$ to $N$ high dimensional classes $x^1,\cdots,x^N\in A^S$ where $A$ and $B$ are discrete alphabets and the probabilistic model…

Machine Learning · Computer Science 2020-06-24 Arash Gholami Davoodi , Sean Chang , Hyun Gon Yoo , Anubhav Baweja , Mihir Mongia , Hosein Mohimani

In this paper we present $LCSk$++: a new metric for measuring the similarity of long strings, and provide an algorithm for its efficient computation. With ever increasing size of strings occuring in practice, e.g. large genomes of plants…

Data Structures and Algorithms · Computer Science 2019-08-27 Filip Pavetić , Goran Žužić , Mile Šikić

Approximate nearest neighbour (ANN) search is one of the most important problems in computer science fields such as data mining or computer vision. In this paper, we focus on ANN for high-dimensional binary vectors and we propose a simple…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Michal Komorowski , Tomasz Trzcinski

Many real-life data are described by categorical attributes without a pre-classification. A common data mining method used to extract information from this type of data is clustering. This method group together the samples from the data…

Machine Learning · Computer Science 2014-07-30 Fabricio Olivetti de França