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Continuous subgraph matching (CSM) algorithms find the occurrences of a given pattern on a stream of data graphs online. A number of incremental CSM algorithms have been proposed. However, a systematical study on these algorithms is missing…

Databases · Computer Science 2022-03-15 Xibo Sun , Shixuan Sun , Qiong Luo , Bingsheng He

In the $k$-mismatch problem we are given a pattern of length $n$ and a text and must find all locations where the Hamming distance between the pattern and the text is at most $k$. A series of recent breakthroughs have resulted in an…

Data Structures and Algorithms · Computer Science 2021-06-22 Paweł Gawrychowski , Tatiana Starikovskaya

Considering a 2D matrix of positive and negative numbers, how might one draw a rectangle within it whose contents sum higher than all other rectangles'? This fundamental problem, commonly known the maximum rectangle problem or subwindow…

Data Structures and Algorithms · Computer Science 2023-04-11 Max Reuter , Gheorghe-Teodor Bercea , Liana Fong

We propose a continuous optimization algorithm for the Column Subset Selection Problem (CSSP) and Nystr\"om approximation. The CSSP and Nystr\"om method construct low-rank approximations of matrices based on a predetermined subset of…

Methodology · Statistics 2023-04-20 Anant Mathur , Sarat Moka , Zdravko Botev

Approximate nearest neighbor algorithms are used to speed up nearest neighbor search in a wide array of applications. However, current indexing methods feature several hyperparameters that need to be tuned to reach an acceptable…

Data Structures and Algorithms · Computer Science 2019-04-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

This paper investigates sequencing policies for file reading requests in linear storage devices, such as magnetic tapes. Tapes are the technology of choice for long-term storage in data centers due to their low cost and reliability.…

Data Structures and Algorithms · Computer Science 2022-05-11 Carlos H. Cardonha , Andre A. Cire , Lucas C. Villa Real

Parsimony, including sparsity and low rank, has been shown to successfully model data in numerous machine learning and signal processing tasks. Traditionally, such modeling approaches rely on an iterative algorithm that minimizes an…

Machine Learning · Computer Science 2012-12-18 Pablo Sprechmann , Alex M. Bronstein , Guillermo Sapiro

The "Subset Sum problem" is a very well-known NP-complete problem. In this work, a top-k variation of the "Subset Sum problem" is considered. This problem has wide application in recommendation systems, where instead of k best objects the k…

Data Structures and Algorithms · Computer Science 2021-08-27 Biswajit Sanyal , Subhashis Majumder , Priya Ranjan Sinha Mahapatra

Neural document ranking approaches, specifically transformer models, have achieved impressive gains in ranking performance. However, query processing using such over-parameterized models is both resource and time intensive. In this paper,…

Information Retrieval · Computer Science 2022-04-05 Jurek Leonhardt , Koustav Rudra , Megha Khosla , Abhijit Anand , Avishek Anand

Maximum coverage and minimum set cover problems --collectively called coverage problems-- have been studied extensively in streaming models. However, previous research not only achieve sub-optimal approximation factors and space…

Data Structures and Algorithms · Computer Science 2017-03-13 Mohammadhossein Bateni , Hossein Esfandiari , Vahab Mirrokni

Truncated singular value decomposition (SVD), also known as the best low-rank matrix approximation, has been successfully applied to many domains such as biology, healthcare, and others, where high-dimensional datasets are prevalent. To…

Optimization and Control · Mathematics 2022-08-09 Yongchun Li , Weijun Xie

Nowadays, frequent pattern mining (FPM) on large graphs receives increasing attention, since it is crucial to a variety of applications, e.g., social analysis. Informally, the FPM problem is defined as finding all the patterns in a large…

Databases · Computer Science 2022-05-04 Xin Wang , Zhuo Lan , Yu-Ang He , Yang Wang , Zhi-Gui Liu , Wen-Bo Xie

This paper presents the first convergence result for random search algorithms to a subset of the Pareto set of given maximum size k with bounds on the approximation quality. The core of the algorithm is a new selection criterion based on a…

Optimization and Control · Mathematics 2011-11-10 Marco Laumanns

An approximate sparse recovery system consists of parameters $k,N$, an $m$-by-$N$ measurement matrix, $\Phi$, and a decoding algorithm, $\mathcal{D}$. Given a vector, $x$, the system approximates $x$ by $\widehat x =\mathcal{D}(\Phi x)$,…

Data Structures and Algorithms · Computer Science 2014-02-10 Anna C. Gilbert , Yi Li , Ely Porat , Martin J. Strauss

A large item catalogue is a major challenge for deploying modern sequential recommender models, since it makes the memory footprint of the model large and increases inference latency. One promising approach to address this is RecJPQ, which…

Information Retrieval · Computer Science 2025-05-02 Aleksandr V. Petrov , Craig Macdonald , Nicola Tonellotto

We consider the revenue maximization problem for an online retailer who plans to display in order a set of products differing in their prices and qualities. Consumers have attention spans, i.e., the maximum number of products they are…

Machine Learning · Computer Science 2025-11-11 Ningyuan Chen , Anran Li , Shuoguang Yang

Motivated by the philosophy and phenomenal success of compressed sensing, the problem of reconstructing a matrix from a sampling of its entries has attracted much attention recently. Such a problem can be viewed as an information-theoretic…

Information Theory · Computer Science 2009-05-15 Zhisu Zhu , Anthony Man-Cho So , Yinyu Ye

Clustering-based nearest neighbor search is an effective method in which points are partitioned into geometric shards to form an index, with only a few shards searched during query processing to find a set of top-$k$ vectors. Even though…

Machine Learning · Computer Science 2025-10-20 Sebastian Bruch , Aditya Krishnan , Franco Maria Nardini

The top-k operator returns a sparse vector, where the non-zero values correspond to the k largest values of the input. Unfortunately, because it is a discontinuous function, it is difficult to incorporate in neural networks trained…

Machine Learning · Computer Science 2023-06-06 Michael E. Sander , Joan Puigcerver , Josip Djolonga , Gabriel Peyré , Mathieu Blondel

Supporting top-k document retrieval queries on general text databases, that is, finding the k documents where a given pattern occurs most frequently, has become a topic of interest with practical applications. While the problem has been…

Data Structures and Algorithms · Computer Science 2011-11-21 Gonzalo Navarro , Daniel Valenzuela