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We consider supervised learning problems within the positive-definite kernel framework, such as kernel ridge regression, kernel logistic regression or the support vector machine. With kernels leading to infinite-dimensional feature spaces,…

Machine Learning · Computer Science 2013-05-23 Francis Bach

Graphs are fundamental data structures and have been employed for centuries to model real-world systems and phenomena. Random walk with restart (RWR) provides a good proximity score between two nodes in a graph, and it has been successfully…

Databases · Computer Science 2012-02-01 Yasuhiro Fujiwara , Makoto Nakatsuji , Makoto Onizuka , Masaru Kitsuregawa

Low Rank Approximation (LRA) of a matrix is a hot research subject, fundamental for Matrix and Tensor Computations and Big Data Mining and Analysis. Computations with low rank matrices can be performed at sublinear cost -- by using much…

Numerical Analysis · Mathematics 2025-08-11 Qi Luan , Victor Y. Pan , John Svadlenka , Liang Zhao

A new fast algebraic method for obtaining an $\mathcal{H}^2$-approximation of a matrix from its entries is presented. The main idea behind the method is based on the nested representation and the maximum-volume principle to select…

Numerical Analysis · Mathematics 2015-11-17 A. Yu Mikhalev , I. V. Oseledets

Statistical analysis of massive datasets very often implies expensive linear algebra operations with large dense matrices. Typical tasks are an estimation of unknown parameters of the underlying statistical model and prediction of missing…

Computation · Statistics 2021-04-16 Alexander Litvinenko , Ronald Kriemann , Vladimir Berikov

Hashing, or learning binary embeddings of data, is frequently used in nearest neighbor retrieval. In this paper, we develop learning to rank formulations for hashing, aimed at directly optimizing ranking-based evaluation metrics such as…

Machine Learning · Statistics 2018-10-11 Kun He , Fatih Cakir , Sarah Adel Bargal , Stan Sclaroff

Computing accurate low rank approximations of large matrices is a fundamental data mining task. In many applications however the matrix contains sensitive information about individuals. In such case we would like to release a low rank…

Data Structures and Algorithms · Computer Science 2012-11-06 Moritz Hardt , Aaron Roth

One of the core problems in large-scale recommendations is to retrieve top relevant candidates accurately and efficiently, preferably in sub-linear time. Previous approaches are mostly based on a two-step procedure: first learn an…

Information Retrieval · Computer Science 2021-05-19 Weihao Gao , Xiangjun Fan , Chong Wang , Jiankai Sun , Kai Jia , Wenzhi Xiao , Ruofan Ding , Xingyan Bin , Hui Yang , Xiaobing Liu

With the emergence of graph databases, the task of frequent subgraph discovery has been extensively addressed. Although the proposed approaches in the literature have made this task feasible, the number of discovered frequent subgraphs is…

Databases · Computer Science 2013-08-16 Wajdi Dhifli , Mohamed Moussaoui , Rabie Saidi , Engelbert Mephu Nguifo

Evaluating a new model on an existing benchmark is often necessary to understand its behavior before deployment. For modern evaluation frameworks, generating and evaluating a response for all queries can be prohibitively expensive. In…

Machine Learning · Computer Science 2026-05-11 Hayden Helm , Ben Johnson , Carey Priebe

Join query evaluation with ordering is a fundamental data processing task in relational database management systems. SQL and custom graph query languages such as Cypher offer this functionality by allowing users to specify the order via the…

Databases · Computer Science 2022-01-25 Shaleen Deep , Xiao Hu , Paraschos Koutris

Vector databases typically rely on approximate nearest neighbor (ANN) search to retrieve the top-k closest vectors to a query in embedding space. While effective, this approach often yields semantically redundant results, missing the…

Machine Learning · Computer Science 2025-07-29 Rahul Raja , Arpita Vats

Ranking temporal data has not been studied until recently, even though ranking is an important operator (being promoted as a firstclass citizen) in database systems. However, only the instant top-k queries on temporal data were studied in,…

Databases · Computer Science 2012-08-02 Jeffrey Jestes , Jeff M. Phillips , Feifei Li , Mingwang Tang

There has been a great deal of recent interest in methods for performing lifted inference; however, most of this work assumes that the first-order model is given as input to the system. Here, we describe lifted inference algorithms that…

Artificial Intelligence · Computer Science 2012-05-14 Prithviraj Sen , Amol Deshpande , Lise Getoor

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 aims at providing extremely efficient algorithms for approximate query enumeration on sparse databases, that come with performance and accuracy guarantees. We introduce a new model for approximate query enumeration on classes of…

Databases · Computer Science 2021-01-19 Isolde Adler , Polly Fahey

With an exponentially growing number of graphs from disparate repositories, there is a strong need to analyze a graph database containing an extensive collection of small- or medium-sized data graphs (e.g., chemical compounds). Although…

Databases · Computer Science 2022-12-16 Kai Huang , Haibo Hu , Qingqing Ye , Kai Tian , Bolong Zheng , Xiaofang Zhou

A search query consists of several words. In a proximity full-text search, we want to find documents that contain these words near each other. This task requires much time when the query consists of high-frequently occurring words. If we…

Information Retrieval · Computer Science 2020-09-08 Alexander B. Veretennikov

When two terms occur together in a document, the probability of a close relationship between them and the document itself is greater if they are in nearby positions. However, ranking functions including term proximity (TP) require larger…

Information Retrieval · Computer Science 2016-06-24 Ju Yang , Jiancong Tong , Rebecca J. Stones , Zhaohua Zhang , Benjun Ye , Gang Wang , Xiaoguang Liu

Subset selection for the rank $k$ approximation of an $n\times d$ matrix $A$ offers improvements in the interpretability of matrices, as well as a variety of computational savings. This problem is well-understood when the error measure is…

Data Structures and Algorithms · Computer Science 2023-04-20 David P. Woodruff , Taisuke Yasuda
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