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Related papers: LogLog-Beta and More: A New Algorithm for Cardinal…

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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

This paper presents new methods to estimate the cardinalities of data sets recorded by HyperLogLog sketches. A theoretically motivated extension to the original estimator is presented that eliminates the bias for small and large…

Data Structures and Algorithms · Computer Science 2017-02-27 Otmar Ertl

Count distinct or cardinality estimates are widely used in network monitoring for security. They can be used, for example, to detect the malware spread, network scans, or a denial of service attack. There are many algorithms to estimate…

Cryptography and Security · Computer Science 2023-03-07 Pedro Reviriego , Daniel Ting

\emph{Cardinality Estimation} (aka \emph{Distinct Elements}) is a classic problem in sketching with many industrial applications. Although sketching \emph{algorithms} are fairly simple, analyzing the cardinality \emph{estimators} is…

Data Structures and Algorithms · Computer Science 2022-08-24 Seth Pettie , Dingyu Wang

Cardinality estimation is a fundamental task in database management systems, aiming to predict query results accurately without executing the queries. However, existing techniques either achieve low estimation accuracy or incur high…

Databases · Computer Science 2025-08-14 Yaoyu Zhu , Jintao Zhang , Guoliang Li , Jianhua Feng

We present a detailed study of cardinality-aware top-$k$ classification, a novel approach that aims to learn an accurate top-$k$ set predictor while maintaining a low cardinality. We introduce a new target loss function tailored to this…

Machine Learning · Computer Science 2024-07-12 Corinna Cortes , Anqi Mao , Christopher Mohri , Mehryar Mohri , Yutao Zhong

We describe a new cardinality estimation algorithm that is extremely space-efficient. It applies one of three novel estimators to the compressed state of the Flajolet-Martin-85 coupon collection process. In an apples-to-apples empirical…

Data Structures and Algorithms · Computer Science 2017-08-24 Kevin J Lang

DB engines produce efficient query execution plans by relying on cost models. Practical implementations estimate cardinality of queries using heuristics, with magic numbers tuned to improve average performance on benchmarks. Empirically,…

In this paper we address cardinality estimation problem which is an important subproblem in query optimization. Query optimization is a part of every relational DBMS responsible for finding the best way of the execution for the given query.…

Databases · Computer Science 2017-11-23 Oleg Ivanov , Sergey Bartunov

Cardinality estimation algorithms receive a stream of elements whose order might be arbitrary, with possible repetitions, and return the number of distinct elements. Such algorithms usually seek to minimize the required storage and…

Data Structures and Algorithms · Computer Science 2015-08-26 Reuven Cohen , Liran Katzir , Aviv Yehezkel

Formal reasoning about finite sets and cardinality is an important tool for many applications, including software verification, where very often one needs to reason about the size of a given data structure and not only about what its…

Logic in Computer Science · Computer Science 2021-10-06 Maximiliano Cristiá , Gianfranco Rossi

Cardinality estimation is a key component of database query optimization. Recent studies have demonstrated that learned cardinality estimation techniques can surpass traditional methods in accuracy. However, a significant barrier to their…

Databases · Computer Science 2025-12-30 Lyu Yi , Weiqi Feng , Yuanbiao Wang , Yuhong Kan

Cardinality estimation is a fundamental task in database systems and plays a critical role in query optimization. Despite significant advances in learning-based cardinality estimation methods, most existing approaches remain difficult to…

Databases · Computer Science 2025-10-10 Xianghong Xu , Rong Kang , Xiao He , Lei Zhang , Jianjun Chen , Tieying Zhang

Modern database optimizer relies on cardinality estimator, whose accuracy directly affects the optimizer's ability to choose an optimal execution plan. Recent work on data-driven methods has leveraged probabilistic models to achieve higher…

Databases · Computer Science 2025-12-11 Xiao Yan , Tiezheng Nie , Boyang Fang , Derong Shen , Kou Yue , Yu Ge

Counterfactual evaluation can estimate Click-Through-Rate (CTR) differences between ranking systems based on historical interaction data, while mitigating the effect of position bias and item-selection bias. We introduce the novel…

Information Retrieval · Computer Science 2020-07-29 Harrie Oosterhuis , Maarten de Rijke

Recent work has reemphasized the importance of cardinality estimates for query optimization. While new techniques have continuously improved in accuracy over time, they still generally allow for under-estimates which often lead optimizers…

Databases · Computer Science 2022-11-21 Kyle Deeds , Dan Suciu , Magda Balazinska

Logs generated by large-scale software systems provide crucial information for engineers to understand the system status and diagnose problems of the systems. Log parsing, which converts raw log messages into structured data, is the first…

Software Engineering · Computer Science 2023-02-16 Van-Hoang Le , Hongyu Zhang

Cardinality estimation is a fundamental but long unresolved problem in query optimization. Recently, multiple papers from different research groups consistently report that learned models have the potential to replace existing cardinality…

Databases · Computer Science 2021-08-12 Xiaoying Wang , Changbo Qu , Weiyuan Wu , Jiannan Wang , Qingqing Zhou

Cardinality estimation is a fundamental task in database query processing and optimization. As shown in recent papers, machine learning (ML)-based approaches can deliver more accurate cardinality estimations than traditional approaches.…

Databases · Computer Science 2022-01-19 Lucas Woltmann , Claudio Hartmann , Dirk Habich , Wolfgang Lehner

Sampling from a high-dimensional probability distribution is a fundamental algorithmic task arising in wide-ranging applications across multiple disciplines, including scientific computing, computational statistics and machine learning.…

Statistics Theory · Mathematics 2026-05-11 Bin Yang , Xiaojie Wang
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