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We study the classic NP-Hard problem of finding the maximum $k$-set coverage in the data stream model: given a set system of $m$ sets that are subsets of a universe $\{1,\ldots,n \}$, find the $k$ sets that cover the most number of distinct…

Data Structures and Algorithms · Computer Science 2018-05-11 Andrew McGregor , Hoa T. Vu

Predictive queries over spatiotemporal (ST) stream data pose significant data processing and analysis challenges. ST data streams involve a set of time series whose data distributions may vary in space and time, exhibiting multiple distinct…

Machine Learning · Statistics 2024-10-03 Anderson Chaves , Eduardo Ogasawara , Patrick Valduriez , Fabio Porto

We study distribution testing in the standard access model and the conditional access model when the memory available to the testing algorithm is bounded. In both scenarios, the samples appear in an online fashion and the goal is to test…

Data Structures and Algorithms · Computer Science 2023-09-08 Sampriti Roy , Yadu Vasudev

Statistical divergence is widely applied in multimedia processing, basically due to regularity and interpretable features displayed in data. However, in a broader range of data realm, these advantages may no longer be feasible, and…

Databases · Computer Science 2020-11-20 Ruoyu Wang , Xiaobo Hu , Daniel Sun , Guoqiang Li , Raymond Wong , Shiping Chen , Jianquan Liu

We consider the problem of segmenting a large population of customers into non-overlapping groups with similar preferences, using diverse preference observations such as purchases, ratings, clicks, etc. over subsets of items. We focus on…

Methodology · Statistics 2017-01-27 Srikanth Jagabathula , Lakshminarayanan Subramanian , Ashwin Venkataraman

StreamSampling$.$jl is a Julia library designed to provide general and efficient methods for sampling from data streams in a single pass, even when the total number of items is unknown. In this paper, we describe the capabilities of the…

Software Engineering · Computer Science 2026-05-15 Adriano Meligrana

In the era of big data, graph sampling is indispensable in many settings. Existing sampling methods are mostly designed for static graphs, and aim to preserve basic structural properties of the original graph (such as degree distribution,…

Social and Information Networks · Computer Science 2018-02-07 Sandipan Sikdar , Tanmoy Chakraborty , Soumya Sarkar , Niloy Ganguly , Animesh Mukherjee

Consider the collection of all binary matrices having a specific sequence of row and column sums and consider sampling binary matrices uniformly from this collection. Practical algorithms for exact uniform sampling are not known, but there…

Computation · Statistics 2013-01-28 Matthew T. Harrison

With the dawn of the Big Data era, data sets are growing rapidly. Data is streaming from everywhere - from cameras, mobile phones, cars, and other electronic devices. Clustering streaming data is a very challenging problem. Unlike the…

Machine Learning · Computer Science 2019-02-08 Shlomo Bugdary , Shay Maymon

In this work, we present data stream algorithms to compute optimal splits for decision tree learning. In particular, given a data stream of observations \(x_i\) and their corresponding labels \(y_i\), without the i.i.d. assumption, the…

Data Structures and Algorithms · Computer Science 2025-04-18 Huy Pham , Hoang Ta , Hoa T. Vu

Graphs are used in many disciplines to model the relationships that exist between objects in a complex discrete system. Researchers may wish to compare a network of interest to a "typical" graph from a family (or ensemble) of graphs which…

Combinatorics · Mathematics 2025-08-08 Catherine Greenhill

Anomaly detection when observing a large number of data streams is essential in a variety of applications, ranging from epidemiological studies to monitoring of complex systems. High-dimensional scenarios are usually tackled with…

Methodology · Statistics 2025-12-18 Ivo V. Stoepker , Rui M. Castro , Ery Arias-Castro , Edwin van den Heuvel

Resampling is a key component of sample-based recursive state estimation in particle filters. Recent work explores differentiable particle filters for end-to-end learning. However, resampling remains a challenge in these works, as it is…

Machine Learning · Computer Science 2020-04-28 Michael Zhu , Kevin Murphy , Rico Jonschkowski

To get estimators that work within a certain error bound with high probability, a common strategy is to design one that works with constant probability, and then boost the probability using independent repetitions. Important examples of…

Data Structures and Algorithms · Computer Science 2020-04-03 Anders Aamand , Debarati Das , Evangelos Kipouridis , Jakob B. T. Knudsen , Peter M. R. Rasmussen , Mikkel Thorup

Given a dataset of $n$ i.i.d. samples from an unknown distribution $P$, we consider the problem of generating a sample from a distribution that is close to $P$ in total variation distance, under the constraint of differential privacy (DP).…

Data Structures and Algorithms · Computer Science 2023-06-23 Badih Ghazi , Xiao Hu , Ravi Kumar , Pasin Manurangsi

In this paper, we study the problem of learning a mixture of Gaussians with streaming data: given a stream of $N$ points in $d$ dimensions generated by an unknown mixture of $k$ spherical Gaussians, the goal is to estimate the model…

Machine Learning · Computer Science 2017-07-11 Aditi Raghunathan , Ravishankar Krishnaswamy , Prateek Jain

This paper addresses the problem of sequential submodular maximization: selecting and ranking items in a sequence to optimize some composite submodular function. In contrast to most of the previous works, which assume access to the utility…

Machine Learning · Computer Science 2024-09-10 Jing Yuan , Shaojie Tang

We initiate the study of numerical linear algebra in the sliding window model, where only the most recent $W$ updates in a stream form the underlying data set. We first introduce a unified row-sampling based framework that gives randomized…

Data Structures and Algorithms · Computer Science 2023-04-12 Vladimir Braverman , Petros Drineas , Cameron Musco , Christopher Musco , Jalaj Upadhyay , David P. Woodruff , Samson Zhou

In todays digital era, data are everywhere from Internet of Things to health care or financial applications. This leads to potentially unbounded ever-growing Big data streams and it needs to be utilized effectively. Data normalization is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-24 Vibhuti Gupta , Rattikorn Hewett

We show how to utilize machine learning approaches to improve sliding window algorithms for approximate frequency estimation problems, under the ``algorithms with predictions'' framework. In this dynamic environment, previous…

Data Structures and Algorithms · Computer Science 2024-09-19 Rana Shahout , Ibrahim Sabek , Michael Mitzenmacher