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In this paper, we address the problem of learning compact similarity-preserving embeddings for massive high-dimensional streams of data in order to perform efficient similarity search. We present a new online method for computing binary…

Machine Learning · Computer Science 2018-02-12 Anne Morvan , Antoine Souloumiac , Cédric Gouy-Pailler , Jamal Atif

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

Supervised hashing methods are widely-used for nearest neighbor search in computer vision applications. Most state-of-the-art supervised hashing approaches employ batch-learners. Unfortunately, batch-learning strategies can be inefficient…

Computer Vision and Pattern Recognition · Computer Science 2015-11-11 Fatih Cakir , Sarah Adel Bargal , Stan Sclaroff

We propose a method to exponentially speed up computation of various fingerprints, such as the ones used to compute similarity and rarity in massive data sets. Rather then maintaining the full stream of $b$ items of a universe $[u]$, such…

Data Structures and Algorithms · Computer Science 2010-09-30 Yoram Bachrach , Ely Porat

We consider the streaming complexity of a fundamental task in approximate pattern matching: the $k$-mismatch problem. It asks to compute Hamming distances between a pattern of length $n$ and all length-$n$ substrings of a text for which the…

Data Structures and Algorithms · Computer Science 2018-04-10 Raphaël Clifford , Tomasz Kociumaka , Ely Porat

In the range $\alpha$-majority query problem, we are given a sequence $S[1..n]$ and a fixed threshold $\alpha \in (0, 1)$, and are asked to preprocess $S$ such that, given a query range $[i..j]$, we can efficiently report the symbols that…

Data Structures and Algorithms · Computer Science 2018-05-24 Travis Gagie , Meng He , Gonzalo Navarro

A graph stream is a continuous sequence of data items, in which each item indicates an edge, including its two endpoints and edge weight. It forms a dynamic graph that changes with every item in the stream. Graph streams play important…

Data Structures and Algorithms · Computer Science 2018-09-06 Xiangyang Gou , Lei Zou , Chenxingyu Zhao , Tong Yang

We study in this paper the problem of maintaining a solution to $k$-median and $k$-means clustering in a fully dynamic setting. To do so, we present an algorithm to efficiently maintain a coreset, a compressed version of the dataset, that…

Data Structures and Algorithms · Computer Science 2024-07-01 Max Dupré la Tour , Monika Henzinger , David Saulpic

Hashing has proven a valuable tool for large-scale information retrieval. Despite much success, existing hashing methods optimize over simple objectives such as the reconstruction error or graph Laplacian related loss functions, instead of…

Machine Learning · Computer Science 2014-07-07 Guosheng Lin , Chunhua Shen , Jianxin Wu

Frequency estimation of elements is an important task for summarizing data streams and machine learning applications. The problem is often addressed by using streaming algorithms with sublinear space data structures. These algorithms allow…

Data Structures and Algorithms · Computer Science 2022-04-05 Nikita Seleznev , Senthil Kumar , C. Bayan Bruss

Data analysis often involves an iterative process, where solutions must be continuously refined in response to new data. Typically, as new data becomes available, an existing solution must be updated to incorporate the latest information.…

Data Structures and Algorithms · Computer Science 2025-12-18 Ameet Gadekar , Aristides Gionis , Thibault Marette

In this paper, we introduce a new model for sublinear algorithms called \emph{dynamic sketching}. In this model, the underlying data is partitioned into a large \emph{static} part and a small \emph{dynamic} part and the goal is to compute a…

Data Structures and Algorithms · Computer Science 2015-10-13 Sepehr Assadi , Sanjeev Khanna , Yang Li , Val Tannen

In the kernel density estimation (KDE) problem, we are given a set $X$ of data points in $\mathbb{R}^d$, a kernel function $k: \mathbb{R}^d \times \mathbb{R}^d \rightarrow \mathbb{R}$, and a query point $\mathbf{q} \in \mathbb{R}^d$, and…

Data Structures and Algorithms · Computer Science 2025-07-03 Steinar Laenen , Peter Macgregor , He Sun

Consistent hashing is a technique for distributing data across a network of nodes in a way that minimizes reorganization when nodes join or leave the network. It is extensively applied in modern distributed systems as a fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

In data stream applications, one of the critical issues is to estimate the frequency of each item in the specific multiset. The multiset means that each item in this set can appear multiple times. The data streams in many applications are…

Data Structures and Algorithms · Computer Science 2020-01-07 Ning Li

We show how to approximate a data matrix $\mathbf{A}$ with a much smaller sketch $\mathbf{\tilde A}$ that can be used to solve a general class of constrained k-rank approximation problems to within $(1+\epsilon)$ error. Importantly, this…

Data Structures and Algorithms · Computer Science 2015-04-06 Michael B. Cohen , Sam Elder , Cameron Musco , Christopher Musco , Madalina Persu

Conservative Count-Min, an improved version of Count-Min sketch [Cormode, Muthukrishnan 2005], is an online-maintained hashing-based data structure summarizing element frequency information without storing elements themselves. Although…

Data Structures and Algorithms · Computer Science 2023-09-08 Éric Fusy , Gregory Kucherov

The probability Jaccard similarity was recently proposed as a natural generalization of the Jaccard similarity to measure the proximity of sets whose elements are associated with relative frequencies or probabilities. In combination with a…

Data Structures and Algorithms · Computer Science 2020-10-27 Otmar Ertl

The text-to-pattern Hamming distances problem asks to compute the Hamming distances between a given pattern of length $m$ and all length-$m$ substrings of a given text of length $n\ge m$. We focus on the $k$-mismatch version of the problem,…

Data Structures and Algorithms · Computer Science 2022-03-30 Raphaël Clifford , Paweł Gawrychowski , Tomasz Kociumaka , Daniel P. Martin , Przemysław Uznański

While there has been a lot of work on finding frequent itemsets in transaction data streams, none of these solve the problem of finding similar pairs according to standard similarity measures. This paper is a first attempt at dealing with…

Data Structures and Algorithms · Computer Science 2010-10-13 Andrea Campagna , Rasmus Pagh