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We consider massive distributed datasets that consist of elements modeled as key-value pairs and the task of computing statistics or aggregates where the contribution of each key is weighted by a function of its frequency (sum of values of…

Data Structures and Algorithms · Computer Science 2019-12-24 Edith Cohen , Ofir Geri

Estimating the distribution and quantiles of data is a foundational task in data mining and data science. We study algorithms which provide accurate results for extreme quantile queries using a small amount of space, thus helping to…

Data Structures and Algorithms · Computer Science 2021-06-11 Graham Cormode , Abhinav Mishra , Joseph Ross , Pavel Veselý

Sketch-based algorithms for network traffic monitoring have drawn increasing interest in recent years due to their sub-linear memory efficiency and high accuracy. As the volume of network traffic grows, software-based sketch implementations…

Hardware Architecture · Computer Science 2025-04-28 Zhaoyang Han , Yicheng Qian , Michael Zink , Miriam Leeser

Discovering the key structure of a database is one of the main goals of data mining. In pattern set mining we do so by discovering a small set of patterns that together describe the data well. The richer the class of patterns we consider,…

Artificial Intelligence · Computer Science 2017-08-11 Apratim Bhattacharyya , Jilles Vreeken

We study dynamic graph algorithms in the Massively Parallel Computation model, which was inspired by practical data processing systems. Our goal is to provide algorithms that can efficiently handle large batches of edge insertions and…

Data Structures and Algorithms · Computer Science 2021-01-12 Krzysztof Nowicki , Krzysztof Onak

Value flow analysis that tracks the flow of values via data dependence is a widely used technique for detecting a broad spectrum of software bugs. However, the scalability issue often deteriorates when high precision (i.e.,…

Software Engineering · Computer Science 2025-02-13 Yongchao Wang , Yuandao Cai , Charles Zhang

This paper resolves one of the longest standing basic problems in the streaming computational model. Namely, optimal construction of quantile sketches. An $\varepsilon$ approximate quantile sketch receives a stream of items $x_1,\ldots,x_n$…

Data Structures and Algorithms · Computer Science 2016-04-07 Zohar Karnin , Kevin Lang , Edo Liberty

Time series discords are a useful primitive for time series anomaly detection, and the matrix profile is capable of capturing discord effectively. There exist many research efforts to improve the scalability of discord discovery with…

Aggregation queries are a series of computationally-demanding analytics operations on counted, grouped or time series data. They include tasks such as summation or finding the median among the items of the same group, and within a specified…

Hardware Architecture · Computer Science 2026-01-05 Philippos Papaphilippou , Wayne Luk

The maximum likelihood estimation is computationally demanding for large datasets, particularly when the likelihood function includes integrals. Subsampling can reduce the computational burden, but it often results in efficiency loss.This…

Methodology · Statistics 2026-04-27 Miaomiao Su , Qihua Wang , Ruoyu Wang

Graphons, as limit objects of dense graph sequences, play a central role in the statistical analysis of network data. However, existing graphon estimation methods often struggle with scalability to large networks and resolution-independent…

Machine Learning · Computer Science 2025-06-05 Reza Ramezanpour , Victor M. Tenorio , Antonio G. Marques , Ashutosh Sabharwal , Santiago Segarra

The challenge of estimating similarity between sets has been a significant concern in data science, finding diverse applications across various domains. However, previous approaches, such as MinHash, have predominantly centered around…

Data Structures and Algorithms · Computer Science 2024-05-31 Fenghao Dong , Yang He , Yutong Liang , Zirui Liu , Yuhan Wu , Peiqing Chen , Tong Yang

We developed a flexible parallel algorithm for graph summarization based on vertex-centric programming and parameterized message passing. The base algorithm supports infinitely many structural graph summary models defined in a formal…

Data Structures and Algorithms · Computer Science 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

We introduce a new sub-linear space sketch---the Weight-Median Sketch---for learning compressed linear classifiers over data streams while supporting the efficient recovery of large-magnitude weights in the model. This enables…

Machine Learning · Computer Science 2018-04-10 Kai Sheng Tai , Vatsal Sharan , Peter Bailis , Gregory Valiant

Range aggregate queries (RAQs) are an integral part of many real-world applications, where, often, fast and approximate answers for the queries are desired. Recent work has studied answering RAQs using machine learning (ML) models, where a…

Databases · Computer Science 2023-04-11 Sepanta Zeighami , Cyrus Shahabi , Vatsal Sharan

This work presents new cardinality estimation methods for data sets recorded by HyperLogLog sketches. A simple derivation of the original estimator was found, that also gives insight how to correct its deficiencies. The result is an…

Data Structures and Algorithms · Computer Science 2017-06-23 Otmar Ertl

One of the purposes of perception is to bridge between sensors and conceptual understanding. Marr's Primal Sketch combined initial edge-finding with multiple downstream processes to capture aspects of visual perception such as grouping and…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Kenneth D. Forbus , Kezhen Chen , Wangcheng Xu , Madeline Usher

We present HyperLogLogLog, a practical compression of the HyperLogLog sketch that compresses the sketch from $O(m\log\log n)$ bits down to $m \log_2\log_2\log_2 m + O(m+\log\log n)$ bits for estimating the number of distinct elements~$n$…

Data Structures and Algorithms · Computer Science 2022-05-24 Matti Karppa , Rasmus Pagh

Many real world problems can now be effectively solved using supervised machine learning. A major roadblock is often the lack of an adequate quantity of labeled data for training. A possible solution is to assign the task of labeling data…

Machine Learning · Statistics 2018-09-11 Vaibhav B Sinha , Sukrut Rao , Vineeth N Balasubramanian

Running machine learning analytics over geographically distributed datasets is a rapidly arising problem in the world of data management policies ensuring privacy and data security. Visualizing high dimensional data using tools such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-13 Viska Wei , Nikita Ivkin , Vladimir Braverman , Alexander Szalay
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