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Sampling random graphs with given properties is a key step in the analysis of networks, as random ensembles represent basic null models required to identify patterns such as communities and motifs. An important requirement is that the…

Methodology · Statistics 2015-02-23 Tiziano Squartini , Rossana Mastrandrea , Diego Garlaschelli

Kernel methods augmented with random features give scalable algorithms for learning from big data. But it has been computationally hard to sample random features according to a probability distribution that is optimized for the data, so as…

Quantum Physics · Physics 2021-11-02 Hayata Yamasaki , Sathyawageeswar Subramanian , Sho Sonoda , Masato Koashi

Random sampling has become a critical tool in solving massive matrix problems. For linear regression, a small, manageable set of data rows can be randomly selected to approximate a tall, skinny data matrix, improving processing time…

Data Structures and Algorithms · Computer Science 2014-08-22 Michael B. Cohen , Yin Tat Lee , Cameron Musco , Christopher Musco , Richard Peng , Aaron Sidford

Given p independent normal populations, we consider the problem of estimating the mean of those populations, that based on the observed data, give the strongest signals. We explicitly condition on the ranking of the sample means, and…

Methodology · Statistics 2017-02-28 Claudio Fuentes , Vik Gopal

Pattern set mining, which is the task of finding a good set of patterns instead of all patterns, is a fundamental problem in data mining. Many different definitions of what constitutes a good set have been proposed in recent years. In this…

Databases · Computer Science 2025-07-14 Maiju Karjalainen , Pauli Miettinen

We study the top-$K$ ranking problem where the goal is to recover the set of top-$K$ ranked items out of a large collection of items based on partially revealed preferences. We consider an adversarial crowdsourced setting where there are…

Information Retrieval · Computer Science 2016-02-16 Changho Suh , Vincent Y. F. Tan , Renbo Zhao

Let $P=(x_1,\ldots,x_n)$ be a population consisting of $n\ge 2$ real numbers whose sum is zero, and let $k <n$ be a positive integer. We sample $k$ elements from $P$ without replacement and denote by $X_P$ the sum of the elements in our…

Probability · Mathematics 2025-03-27 Jianhang Ai , Ondřej Kuželka , Christos Pelekis

Synthetic oversampling of minority examples using SMOTE and its variants is a leading strategy for addressing imbalanced classification problems. Despite the success of this approach in practice, its theoretical foundations remain…

Machine Learning · Statistics 2025-10-24 Touqeer Ahmad , Mohammadreza M. Kalan , François Portier , Gilles Stupfler

We study the power of uniform sampling for $k$-Median in various metric spaces. We relate the query complexity for approximating $k$-Median, to a key parameter of the dataset, called the balancedness $\beta \in (0, 1]$ (with $1$ being…

Data Structures and Algorithms · Computer Science 2023-02-23 Lingxiao Huang , Shaofeng H. -C. Jiang , Jianing Lou

Finding high-importance patterns in data is an emerging data mining task known as High-utility itemset mining (HUIM). Given a minimum utility threshold, a HUIM algorithm extracts all the high-utility itemsets (HUIs) whose utility values are…

Databases · Computer Science 2023-03-28 Shan Huang , Wensheng Gan , Jinbao Miao , Xuming Han , Philippe Fournier-Viger

Motivated by practical generalizations of the classic $k$-median and $k$-means objectives, such as clustering with size constraints, fair clustering, and Wasserstein barycenter, we introduce a meta-theorem for designing coresets for…

Data Structures and Algorithms · Computer Science 2022-09-20 Vladimir Braverman , Vincent Cohen-Addad , Shaofeng H. -C. Jiang , Robert Krauthgamer , Chris Schwiegelshohn , Mads Bech Toftrup , Xuan Wu

The $k$-means algorithm (Lloyd's algorithm) is a widely used method for clustering unlabeled data. A key bottleneck of the $k$-means algorithm is that each iteration requires time linear in the number of data points, which can be expensive…

The widely used Plackett-Luce ranking model assumes that individuals rank items by making repeated choices from a universe of items. But in many cases the universe is too big for people to plausibly consider all options. In the choice…

Machine Learning · Computer Science 2025-05-09 Ben Aoki-Sherwood , Catherine Bregou , David Liben-Nowell , Kiran Tomlinson , Thomas Zeng

We propose and analyze an algorithm to approximate distribution functions and densities of perpetuities. Our algorithm refines an earlier approach based on iterating discretized versions of the fixed point equation that defines the…

Probability · Mathematics 2007-11-08 Margarete Knape , Ralph Neininger

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

Methodology · Statistics 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

Mining association rules is a task of data mining, which extracts knowledge in the form of significant implication relation of useful items (objects) from a database. Mining multilevel association rules uses concept hierarchies, also called…

Databases · Computer Science 2010-12-30 Mohamed Salah Gouider , Amine Farhat

We study the differentially private top-$k$ selection problem, aiming to identify a sequence of $k$ items with approximately the highest scores from $d$ items. Recent work by Gillenwater et al. (ICML '22) employs a direct sampling approach…

Cryptography and Security · Computer Science 2026-01-09 Hao WU , Hanwen Zhang

We study beyond worst case analysis for the $k$-means problem where the goal is to model typical instances of $k$-means arising in practice. Existing theoretical approaches provide guarantees under certain assumptions on the optimal…

Data Structures and Algorithms · Computer Science 2026-02-03 Poojan Shah , Shashwat Agrawal , Ragesh Jaiswal

Kernel-based clustering algorithms have the ability to capture the non-linear structure in real world data. Among various kernel-based clustering algorithms, kernel k-means has gained popularity due to its simple iterative nature and ease…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Radha Chitta , Rong Jin , Timothy C. Havens , Anil K. Jain

We consider the evaluation of approximate top-k queries from relations with a-priori unknown values. Such relations can arise for example in the context of expensive predicates, or cloud-based data sources. The task is to find an…

Databases · Computer Science 2010-08-31 Antti Ukkonen