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Evaluating the relational join is one of the central algorithmic and most well-studied problems in database systems. A staggering number of variants have been considered including Block-Nested loop join, Hash-Join, Grace, Sort-merge for…

Databases · Computer Science 2013-10-17 Hung Q. Ngo , Christopher Re , Atri Rudra

In the last few years, much effort has been devoted to developing join algorithms in order to achieve worst-case optimality for join queries over relational databases. Towards this end, the database community has had considerable success in…

Databases · Computer Science 2020-03-02 Shaleen Deep , Xiao Hu , Paraschos Koutris

Balanced search trees are widely used in computer science to efficiently maintain dynamic ordered data. To support efficient set operations (e.g., union, intersection, difference) using trees, the join-based framework is widely studied.…

Data Structures and Algorithms · Computer Science 2025-10-24 Michael Goodrich , Yan Gu , Ryuto Kitagawa , Yihan Sun

Query optimization has played a central role in database research for decades. However, more often than not, the proposed optimization techniques lead to a performance improvement in some, but not in all, situations. Therefore, we urgently…

Phylogenetic networks are leaf-labelled directed acyclic graphs that are used to describe non-treelike evolutionary histories and are thus a generalization of phylogenetic trees. The hybridization number of a phylogenetic network is the sum…

Data Structures and Algorithms · Computer Science 2016-06-01 Leo van Iersel , Steven Kelk , Nela Lekić , Chris Whidden , Norbert Zeh

In 1971, Knuth gave an $O(n^2)$-time algorithm for the classic problem of finding an optimal binary search tree. Knuth's algorithm works only for search trees based on 3-way comparisons, while most modern computers support only 2-way…

Data Structures and Algorithms · Computer Science 2021-03-10 Marek Chrobak , Mordecai Golin , J. Ian Munro , Neal E. Young

An alphabetic binary tree formulation applies to problems in which an outcome needs to be determined via alphabetically ordered search prior to the termination of some window of opportunity. Rather than finding a decision tree minimizing…

Information Theory · Computer Science 2009-03-28 Michael B. Baer

An algorithm is developed for finding a close to optimal junction tree of a given graph G. The algorithm has a worst case complexity O(c^k n^a) where a and c are constants, n is the number of vertices, and k is the size of the largest…

Data Structures and Algorithms · Computer Science 2013-02-18 Ann Becker , Dan Geiger

Join query evaluation with ordering is a fundamental data processing task in relational database management systems. SQL and custom graph query languages such as Cypher offer this functionality by allowing users to specify the order via the…

Databases · Computer Science 2022-01-25 Shaleen Deep , Xiao Hu , Paraschos Koutris

Acyclic conjunctive queries form the backbone of most analytical workloads, and have been extensively studied in the literature from both theoretical and practical angles. However, there is still a large divide between theory and practice.…

Databases · Computer Science 2025-04-07 Qichen Wang , Bingnan Chen , Binyang Dai , Ke Yi , Feifei Li , Liang Lin

Hierarchical structure is ubiquitous in data across many domains. There are many hierarchical clustering methods, frequently used by domain experts, which strive to discover this structure. However, most of these methods limit discoverable…

Machine Learning · Computer Science 2012-03-19 Charles Blundell , Yee Whye Teh , Katherine A. Heller

Finding optimal join orders is among the most crucial steps to be performed by query optimisers. Though extensively studied in data management research, the problem remains far from solved: While query optimisers rely on exhaustive search…

Databases · Computer Science 2025-10-24 Manuel Schönberger , Immanuel Trummer , Wolfgang Mauerer

In the context of tree-search stochastic planning algorithms where a generative model is available, we consider on-line planning algorithms building trees in order to recommend an action. We investigate the question of avoiding re-planning…

Machine Learning · Computer Science 2019-02-14 Erwan Lecarpentier , Guillaume Infantes , Charles Lesire , Emmanuel Rachelson

With the development of connected filters for the last decade, many algorithms have been proposed to compute the max-tree. Max-tree allows to compute the most advanced connected operators in a simple way. However, no fair comparison of…

Computer Vision and Pattern Recognition · Computer Science 2013-01-11 Edwin Carlinet , Thierry Géraud

In many data analysis pipelines, a basic and time-consuming process is to produce join results and feed them into downstream tasks. Numerous enumeration algorithms have been developed for this purpose. To be a statistically meaningful…

Databases · Computer Science 2025-07-02 Pengyu Chen , Zizheng Guo , Jianwei Yang , Dongjing Miao

Query plans are compared according to multiple cost metrics in multi-objective query optimization. The goal is to find the set of Pareto plans realizing optimal cost tradeoffs for a given query. So far, only algorithms with exponential…

Databases · Computer Science 2016-03-02 Immanuel Trummer , Christoph Koch

Join processing is a fundamental operation in database management systems; however, traditional join algorithms often encounter efficiency challenges when dealing with complex queries that produce intermediate results much larger than the…

Databases · Computer Science 2025-05-27 Amirali Kaboli , Alex Mascolo , Amir Shaikhha

Decision trees and randomized forests are widely used in computer vision and machine learning. Standard algorithms for decision tree induction optimize the split functions one node at a time according to some splitting criteria. This greedy…

Machine Learning · Computer Science 2015-11-13 Mohammad Norouzi , Maxwell D. Collins , Matthew Johnson , David J. Fleet , Pushmeet Kohli

Over the last decade, worst-case optimal join (WCOJ) algorithms have emerged as a new paradigm for one of the most fundamental challenges in query processing: computing joins efficiently. Such an algorithm can be asymptotically faster than…

Databases · Computer Science 2023-01-31 Yisu Remy Wang , Max Willsey , Dan Suciu

The multi-criteria decision making, which is possible with the advent of skyline queries, has been applied in many areas. Though most of the existing research is concerned with only a single relation, several real world applications require…

Databases · Computer Science 2012-06-29 Arnab Bhattacharya , B. Palvali Teja