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We survey optimization problems that involve the cardinality of variable vectors in constraints or the objective function. We provide a unified viewpoint on the general problem classes and models, and give concrete examples from diverse…

Optimization and Control · Mathematics 2022-08-09 Andreas M. Tillmann , Daniel Bienstock , Andrea Lodi , Alexandra Schwartz

Cardinality estimation and conjunctive query evaluation are two of the most fundamental problems in database query processing. Recent work proposed, studied, and implemented a robust and practical information-theoretic cardinality…

Databases · Computer Science 2025-04-04 Sungjin Im , Benjamin Moseley , Hung Q. Ngo , Kirk Pruhs

In this paper we consider the problem of maximizing a non-negative submodular function subject to a cardinality constraint in the data stream model. Previously, the best known algorithm for this problem was a $5.828$-approximation…

Data Structures and Algorithms · Computer Science 2019-06-27 Naor Alaluf , Moran Feldman

We study the problem of optimizing subgraph queries using the new worst-case optimal join plans. Worst-case optimal plans evaluate queries by matching one query vertex at a time using multiway intersections. The core problem in optimizing…

Databases · Computer Science 2019-06-04 Amine Mhedhbi , Semih Salihoglu

Cardinality estimation (CardEst), a central component of the query optimizer, plays a significant role in generating high-quality query plans in DBMS. The CardEst problem has been extensively studied in the last several decades, using both…

Databases · Computer Science 2021-12-08 Rong Zhu , Tianjing Zeng , Andreas Pfadler , Wei Chen , Bolin Ding , Jingren Zhou

Offline optimization is an emerging problem in many experimental engineering domains including protein, drug or aircraft design, where online experimentation to collect evaluation data is too expensive or dangerous. To avoid that, one has…

Machine Learning · Computer Science 2024-05-10 Yassine Chemingui , Aryan Deshwal , Trong Nghia Hoang , Janardhan Rao Doppa

Analytics database workloads often contain queries that are executed repeatedly. Existing optimization techniques generally prioritize keeping optimization cost low, normally well below the time it takes to execute a single instance of a…

Databases · Computer Science 2025-02-11 Jeffrey Tao , Natalie Maus , Haydn Jones , Yimeng Zeng , Jacob R. Gardner , Ryan Marcus

We present an algorithm for multi-objective optimization of computationally expensive problems. The proposed algorithm is based on solving a set of surrogate problems defined by models of the real one, so that only solutions estimated to be…

Neural and Evolutionary Computing · Computer Science 2021-04-20 Santiago Cuervo , Miguel Melgarejo , Angie Blanco-Cañon , Laura Reyes-Fajardo , Sergio Rojas-Galeano

This paper considers the problem of cardinality estimation in data stream applications. We present a statistical analysis of probabilistic counting algorithms, focusing on two techniques that use pseudo-random variates to form…

Computation · Statistics 2012-11-20 Peter Clifford , Ioana A. Cosma

Query optimization has become a research area where classical algorithms are being challenged by machine learning algorithms. At the same time, recent trends in learned query optimizers have shown that it is prudent to take advantage of…

Databases · Computer Science 2025-06-16 Pavel Sulimov , Claude Lehmann , Kurt Stockinger

We study an extension of the cardinality-constrained knapsack problem wherein each item has a concave piecewise linear utility structure (CCKP), which is motivated by applications such as resource management problems in monitoring and…

Data Structures and Algorithms · Computer Science 2024-02-07 Miao Bai , Carlos Cardonha

For many optimization problems in machine learning, finding an optimal solution is computationally intractable and we seek algorithms that perform well in practice. Since computational intractability often results from pathological…

Machine Learning · Computer Science 2021-02-25 Eric Balkanski , Sharon Qian , Yaron Singer

Cardinality estimation is a cornerstone of cost-based optimizers (CBOs), yet real-world workloads often violate the assumptions behind static statistics, degrading decision stability and increasing plan flip rates. We empirically…

Databases · Computer Science 2026-01-01 Ilsun Chang

We study the optimization of navigational graph queries, i.e., queries which combine recursive and pattern-matching fragments. Current approaches to their evaluation are not effective in practice. Towards addressing this, we present a…

Databases · Computer Science 2026-05-21 Thomas Mulder , George Fletcher , Nikolay Yakovets

Cost-based query optimization remains a critical task in relational databases even after decades of research and industrial development. Query optimizers rely on a large range of statistical synopses -- including attribute-level histograms…

Databases · Computer Science 2021-02-05 Yesdaulet Izenov , Asoke Datta , Florin Rusu , Jun Hyung Shin

Causal analyses derived from observational data underpin high-stakes decisions in domains such as healthcare, public policy, and economics. Yet such conclusions can be surprisingly fragile: even minor data errors - duplicate records, or…

Databases · Computer Science 2025-12-18 Yarden Gabbay , Haoquan Guan , Shaull Almagor , El Kindi Rezig , Brit Youngmann , Babak Salimi

Recent investigations have established the physical relevance of spatially-localized instability mechanisms in fluid dynamics and their potential for technological innovations in flow control. In this letter, we show that the mathematical…

Fluid Dynamics · Physics 2024-11-11 Talha Mushtaq , Maziar S. Hemati

Recent advances in quantum computing have led to progress in exploring quantum applications across diverse fields, including databases and data management. This work presents a quantum machine learning model that tackles the challenge of…

Databases · Computer Science 2026-01-08 Valter Uotila

In this paper, we study the non-monotone adaptive submodular maximization problem subject to a cardinality constraint. We first revisit the adaptive random greedy algorithm proposed in \citep{gotovos2015non}, where they show that this…

Machine Learning · Computer Science 2020-12-16 Shaojie Tang

Modern Cardinality Estimators struggle with data updates. This research tackles this challenge within single-table. We introduce ICE, an Index-based Cardinality Estimator, the first data-driven estimator that enables instant, tuple-leveled…

Databases · Computer Science 2024-09-02 Yingze Li , Xianglong Liu , Hongzhi Wang , Kaixin Zhang , Zixuan Wang