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We present a sparse analogue to stochastic gradient descent that is guaranteed to perform well under similar conditions to the lasso. In the linear regression setup with irrepresentable noise features, our algorithm recovers the support set…

Statistics Theory · Mathematics 2014-12-16 Jacob Steinhardt , Stefan Wager , Percy Liang

Large-scale approximate nearest neighbor search (ANN) has been gaining attention along with the latest machine learning researches employing ANNs. If the data is too large to fit in memory, it is necessary to search for the most similar…

Machine Learning · Computer Science 2025-01-29 Taiga Ikeda , Daisuke Miyashita , Jun Deguchi

In recent years we have witnessed an increase on the development of methods for submodular optimization, which have been motivated by the wide applicability of submodular functions in real-world data-science problems. In this paper, we…

Data Structures and Algorithms · Computer Science 2022-09-15 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

Vector search, the task of finding the k-nearest neighbors of a query vector against a database of high-dimensional vectors, underpins many machine learning applications, including retrieval-augmented generation, recommendation systems, and…

We study the problem of semantic matching in product search, that is, given a customer query, retrieve all semantically related products from the catalog. Pure lexical matching via an inverted index falls short in this respect due to…

Information Retrieval · Computer Science 2019-07-02 Priyanka Nigam , Yiwei Song , Vijai Mohan , Vihan Lakshman , Weitian , Ding , Ankit Shingavi , Choon Hui Teo , Hao Gu , Bing Yin

We present a new efficient method for approximate search in electronic lexica. Given an input string (the pattern) and a similarity threshold, the algorithm retrieves all entries of the lexicon that are sufficiently similar to the pattern.…

Computation and Language · Computer Science 2015-12-04 Stefan Gerdjikov , Stoyan Mihov , Petar Mitankin , Klaus U. Schulz

In recent years, the dominant accuracy metric for vector search is the recall of a result list of fixed size (top-k retrieval), considering as ground truth the exact vector retrieval results. Although convenient to compute, this metric is…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Gergely Szilvasy , Pierre-Emmanuel Mazaré , Matthijs Douze

Similarity search is a key to a variety of applications including content-based search for images and video, recommendation systems, data deduplication, natural language processing, computer vision, databases, computational biology, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-11 Vincent T. Lee , Amrita Mazumdar , Carlo C. del Mundo , Armin Alaghi , Luis Ceze , Mark Oskin

Music search at the scale of Amazon Music presents a unique challenge: queries frequently deviate from indexed metadata due to misspellings, transpositions, and phonetic variations, yet the retrieval system must operate under strict…

Artificial Intelligence · Computer Science 2026-05-19 Paul Greyson , Zhichao Geng , Wei Zhang , Yang Yang

Consider the continuous distributed monitoring model in which $n$ distributed nodes, receiving individual data streams, are connected to a designated server. The server is asked to continuously monitor a function defined over the values…

Data Structures and Algorithms · Computer Science 2016-10-28 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide

We present a new streaming algorithm for the $k$-Mismatch problem, one of the most basic problems in pattern matching. Given a pattern and a text, the task is to find all substrings of the text that are at the Hamming distance at most $k$…

Data Structures and Algorithms · Computer Science 2019-04-24 Jakub Radoszewski , Tatiana Starikovskaya

Here, we present a novel algorithm for frequent itemset mining for streaming data (FIM-SD). For the past decade, various FIM-SD methods in one-pass approximation settings have been developed to approximate the frequency of each itemset.…

Databases · Computer Science 2019-01-08 Yoshitaka Yamamoto , Yasuo Tabei , Koji Iwanuma

Similarity search based on a distance function in metric spaces is a fundamental problem for many applications. Queries for similar objects lead to the well-known machine learning task of nearest-neighbours identification. Many data…

Information Retrieval · Computer Science 2022-08-05 Felipe Ortega , Maria Jesus Algar , Isaac Martín de Diego , Javier M. Moguerza

This paper investigates the problem of recovering missing samples using methods based on sparse representation adapted especially for image signals. Instead of $l_2$-norm or Mean Square Error (MSE), a new perceptual quality measure is used…

Machine Learning · Computer Science 2017-10-18 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

The rise of internet has resulted in an explosion of data consisting of millions of articles, images, songs, and videos. Most of this data is high dimensional and sparse. The need to perform an efficient search for similar objects in such…

Data Structures and Algorithms · Computer Science 2016-12-20 Raghav Kulkarni , Rameshwar Pratap

Problems involving the efficient arrangement of simple objects, as captured by bin packing and makespan scheduling, are fundamental tasks in combinatorial optimization. These are well understood in the traditional online and offline cases,…

Data Structures and Algorithms · Computer Science 2026-01-27 Graham Cormode , Pavel Veselý

We study the active learning problem of top-$k$ ranking from multi-wise comparisons under the popular multinomial logit model. Our goal is to identify the top-$k$ items with high probability by adaptively querying sets for comparisons and…

Data Structures and Algorithms · Computer Science 2017-08-01 Xi Chen , Yuanzhi Li , Jieming Mao

Text retrieval using learned sparse representations of queries and documents has, over the years, evolved into a highly effective approach to search. It is thanks to recent advances in approximate nearest neighbor search-with the emergence…

Information Retrieval · Computer Science 2026-02-06 Sebastian Bruch , Martino Fontana , Franco Maria Nardini , Cosimo Rulli , Rossano Venturini

Vector-based retrieval systems have become a common staple for academic and industrial search applications because they provide a simple and scalable way of extending the search to leverage contextual representations for documents and…

Information Retrieval · Computer Science 2023-04-04 Daniel Campos , ChengXiang Zhai

We consider a similarity measure between two sets $A$ and $B$ of vectors, that balances the average and maximum cosine distance between pairs of vectors, one from set $A$ and one from set $B$. As a motivation for this measure, we present…

Data Structures and Algorithms · Computer Science 2021-08-31 Michael Leybovich , Oded Shmueli