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We introduce a streaming framework for analyzing stochastic approximation/optimization problems. This streaming framework is analogous to solving optimization problems using time-varying mini-batches that arrive sequentially. We provide…

Machine Learning · Computer Science 2023-04-25 Antoine Godichon-Baggioni , Nicklas Werge , Olivier Wintenberger

The streaming max-min diversification problem concerns the selection of a limited and diverse sample of items out of a data stream of known finite length. The objective to be maximized is the minimum distance among any pair of selected…

Data Structures and Algorithms · Computer Science 2025-06-24 Argyris Kalogeratos , Yutai Nazir Zhao , Mathilde Fekom

We extend the multi-pass streaming model to sliding window problems, and address the problem of computing order statistics on fixed-size sliding windows, in the multi-pass streaming model as well as the closely related communication…

Data Structures and Algorithms · Computer Science 2018-07-13 Dhruv Rohatgi

Heavy hitters and frequency measurements are fundamental in many networking applications such as load balancing, QoS, and network security. This paper considers a generalized sliding window model that supports frequency and heavy hitters…

Data Structures and Algorithms · Computer Science 2018-11-15 Ran Ben Basat , Roy Friedman , Rana Shahout

In the real world, data streams are ubiquitous -- think of network traffic or sensor data. Mining patterns, e.g., outliers or clusters, from such data must take place in real time. This is challenging because (1) streams often have high…

Machine Learning · Computer Science 2021-01-08 Edouard Fouché , Florian Kalinke , Klemens Böhm

Monitoring the performance of large shared computing systems such as the cloud computing infrastructure raises many challenging algorithmic problems. One common problem is to track users with the largest deviation from the norm (outliers),…

Databases · Computer Science 2009-07-20 Chiranjeeb Buragohain , Luca Foschini , Subhash Suri

The geometric congruence problem is a fundamental building block in many computer vision and image recognition tasks. This problem considers the decision task of whether two point sets are congruent under translation and rotation. A related…

Data Structures and Algorithms · Computer Science 2026-02-16 Yen-Cheng Chang , Tsun Ming Cheung , Meng-Tsung Tsai , Ting-An Wu

Space efficient algorithms play a central role in dealing with large amount of data. In such settings, one would like to analyse the large data using small amount of "working space". One of the key steps in many algorithms for analysing…

Data Structures and Algorithms · Computer Science 2015-01-19 Anup Bhattacharya , Davis Issac , Ragesh Jaiswal , Amit Kumar

We consider the Windows Scheduling problem. The problem is a restricted version of Unit-Fractions Bin Packing, and it is also called Inventory Replenishment in the context of Supply Chain. In brief, the problem is to schedule the use of…

Data Structures and Algorithms · Computer Science 2014-04-07 Martin Farach-Colton , Katia Leal , Miguel A. Mosteiro , Christopher Thraves

In this work, we focus on distance-based outliers in a metric space, where the status of an entity as to whether it is an outlier is based on the number of other entities in its neighborhood. In recent years, several solutions have tackled…

We study streaming algorithms in the white-box adversarial model, where the stream is chosen adaptively by an adversary who observes the entire internal state of the algorithm at each time step. We show that nontrivial algorithms are still…

Data Structures and Algorithms · Computer Science 2022-07-26 Miklos Ajtai , Vladimir Braverman , T. S. Jayram , Sandeep Silwal , Alec Sun , David P. Woodruff , Samson Zhou

In streamed graph drawing, a planar graph, G, is given incrementally as a data stream and a straight-line drawing of G must be updated after each new edge is released. To preserve the mental map, changes to the drawing should be minimized…

Data Structures and Algorithms · Computer Science 2013-09-02 Michael T. Goodrich , Paweł Pszona

A central problem in data streams is to characterize which functions of an underlying frequency vector can be approximated efficiently. Recently there has been considerable effort in extending this problem to that of estimating functions of…

Data Structures and Algorithms · Computer Science 2018-10-25 Vladimir Braverman , Stephen R. Chestnut , Robert Krauthgamer , Yi Li , David P. Woodruff , Lin F. Yang

We study linear programming and general LP-type problems in several big data (streaming and distributed) models. We mainly focus on low dimensional problems in which the number of constraints is much larger than the number of variables. Low…

Data Structures and Algorithms · Computer Science 2019-03-14 Sepehr Assadi , Nikolai Karpov , Qin Zhang

In order to describe or estimate different quantities related to a specific random variable, it is of prime interest to numerically generate such a variate. In specific situations, the exact generation of random variables might be either…

Probability · Mathematics 2020-04-07 Samuel Herrmann , Cristina Zucca

While there has been a lot of work on finding frequent itemsets in transaction data streams, none of these solve the problem of finding similar pairs according to standard similarity measures. This paper is a first attempt at dealing with…

Data Structures and Algorithms · Computer Science 2010-10-13 Andrea Campagna , Rasmus Pagh

Estimating the number of subgraphs in data streams is a fundamental problem that has received great attention in the past decade. In this paper, we give improved streaming algorithms for approximately counting the number of occurrences of…

Data Structures and Algorithms · Computer Science 2022-03-29 Hendrik Fichtenberger , Pan Peng

We consider streaming algorithms for approximating a product of input probabilities up to multiplicative error of $1-\epsilon$. It is shown that every randomized streaming algorithm for this problem needs space $\Omega(\log n + \log b -…

Data Structures and Algorithms · Computer Science 2025-10-02 Markus Lohrey , Leon Rische , Louisa Seelbach Benkner , Julio Xochitemol

In this paper, we study the large--time behavior of a numerical scheme discretizing drift-- diffusion systems for semiconductors. The numerical method is finite volume in space, implicit in time, and the numerical fluxes are a…

Numerical Analysis · Mathematics 2019-04-22 Marianne Bessemoulin-Chatard , Claire Chainais-Hillairet

Sliding-window aggregation summarizes the most recent information in a data stream. Users specify how that summary is computed, usually as an associative binary operator because this is the most general known form for which it is possible…

Data Structures and Algorithms · Computer Science 2018-10-29 Kanat Tangwongsan , Martin Hirzel , Scott Schneider