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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

To achieve true scalability on massive datasets, a modern query engine needs to be able to take advantage of large, shared-memory, multicore systems. Binary joins are conceptually easy to parallelize on a multicore system; however, several…

Databases · Computer Science 2025-02-11 Jiacheng Wu , Dan Suciu

As techniques for graph query processing mature, the need for optimization is increasingly becoming an imperative. Indices are one of the key ingredients toward efficient query processing strategies via cost-based optimization. Due to the…

Databases · Computer Science 2013-11-11 Belma Yelbay , S. Ilker Birbil , Kerem Bulbul , Hasan M. Jamil

Efficient probabilistic inference by variable elimination in graphical models requires an optimal elimination order. However, finding an optimal order is a challenging combinatorial optimisation problem for models with a large number of…

Artificial Intelligence · Computer Science 2025-03-13 Sagad Hamid , Tanya Braun

Many discrete optimization problems amount to selecting a feasible set of edges of least weight. We consider in this paper the context of spatial graphs where the positions of the vertices are uncertain and belong to known uncertainty sets.…

Data Structures and Algorithms · Computer Science 2022-09-27 Marin Bougeret , Jérémy Omer , Michael Poss

We introduce an optimal transport based approach for comparing undirected graphs with non-negative edge weights and general vertex labels, and we study connections between the resulting linear program and the graph isomorphism problem. Our…

Combinatorics · Mathematics 2025-11-20 Phuong N. Hoàng , Kevin McGoff , Andrew B. Nobel , Yang Xiang , Bongsoo Yi

Finding a maximum clique in a given graph is one of the fundamental NP-hard problems. We compare two multi-core thread-parallel adaptations of a state-of-the-art branch and bound algorithm for the maximum clique problem, and provide a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-05 Ciaran McCreesh , Patrick Prosser

The minimum cost-flow problems have been attracted recently in optimization because of their applications in several areas of applied science and real life. Therefore, finding optima solution of these problems would be significant. Although…

Optimization and Control · Mathematics 2021-01-05 Eghbal Hosseini

We define a graph-based rate optimization problem and consider its computation, which provides a unified approach to the computation of various theoretical limits, including the (conditional) graph entropy, rate-distortion functions and…

Information Theory · Computer Science 2025-03-18 Deheng Yuan , Tao Guo , Zhongyi Huang , Shi Jin

We introduce a class of budgeted prize-collecting covering subgraph problems. For an input graph with prizes on the vertices and costs on the edges, the aim of these problems is to find a connected subgraph such that the cost of its edges…

Optimization and Control · Mathematics 2021-08-05 Nicola Morandi , Roel Leus , Hande Yaman

In this paper, we study a number of well-known combinatorial optimization problems that fit in the following paradigm: the input is a collection of (potentially inconsistent) local relationships between the elements of a ground set (e.g.,…

Data Structures and Algorithms · Computer Science 2021-02-24 Vaggos Chatziafratis , Mohammad Mahdian , Sara Ahmadian

Tiering is an essential technique for building large-scale information retrieval systems. While the selection of documents for high priority tiers critically impacts the efficiency of tiering, past work focuses on optimizing it with respect…

Information Retrieval · Computer Science 2020-05-19 Hyokun Yun , Michael Froh , Roshan Makhijani , Brian Luc , Alex Smola , Trishul Chilimbi

Graph pattern matching is a fundamental problem encountered by many common graph mining tasks and the basic building block of several graph mining systems. This paper explores for the first time how to proactively prune graphs to speed up…

Databases · Computer Science 2024-03-05 Juelin Liu , Sandeep Polisetty , Hui Guan , Marco Serafini

The shortest paths problem is a fundamental challenge in graph theory, with a broad range of potential applications. The algorithms based on matrix multiplication exhibits excellent parallelism and scalability, but is constrained by high…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Yelai Feng , Huaixi Wang , Yining Zhu , Xiandong Liu , Hongyi Lu , Qing Liu

Motivated by an emerging framework of Autonomous Modular Vehicles, we consider the abstract problem of optimally routing two modules, i.e., vehicles that can attach to or detach from each other in motion on a graph. The modules' objective…

Optimization and Control · Mathematics 2023-02-13 Karan Jagdale , Melkior Ornik

Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-free networks with unbounded degree fluctuations, we obtain the asymptotics of the number of times a small connected graph occurs as a…

Probability · Mathematics 2020-06-09 Remco van der Hofstad , Johan S. H. van Leeuwaarden , Clara Stegehuis

We consider the following generalization of the classic Binary Search Problem: a searcher is required to find a hidden target vertex $x$ in a graph $G$, by iteratively performing queries about vertices. A query to $v$ incurs a cost $c(v,…

Data Structures and Algorithms · Computer Science 2026-03-19 Michał Szyfelbein

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

Combinatorial optimization is considered a promising class of problems in which quantum computers can show significant advantages. However, problems of practical relevance typically have more variables than current or foreseeable quantum…

Quantum Physics · Physics 2025-12-23 Mathias Schmid , Naeimeh Mohseni , Michael J. Hartmann

Query re-optimization is an adaptive query processing technique that re-invokes the optimizer at certain points in query execution. The goal is to dynamically correct the cardinality estimation errors using the statistics collected at…

Databases · Computer Science 2023-06-23 Junyi Zhao , Huanchen Zhang , Yihan Gao