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We study three-way joins on MapReduce. Joins are very useful in a multitude of applications from data integration and traversing social networks, to mining graphs and automata-based constructions. However, joins are expensive, even for…

Databases · Computer Science 2014-05-19 Ben Kimmett , Alex Thomo , S. Venkatesh

We describe a new algorithm, Minesweeper, that is able to satisfy stronger runtime guarantees than previous join algorithms (colloquially, `beyond worst-case guarantees') for data in indexed search trees. Our first contribution is…

Databases · Computer Science 2014-04-01 Hung Q. Ngo , Dung T. Nguyen , Christopher Ré , Atri Rudra

Recent beyond worst-case optimal join algorithms Minesweeper and its generalization Tetris have brought the theory of indexing and join processing together by developing a geometric framework for joins. These algorithms take as input an…

Databases · Computer Science 2021-01-12 Kaleb Alway , Eric Blais , Semih Salihoglu

We present a novel linear-time acyclic join algorithm, TreeTracker Join (TTJ). The algorithm can be understood as the pipelined binary hash join with a simple twist: upon a hash lookup failure, TTJ resets execution to the binding of the…

Databases · Computer Science 2025-05-19 Zeyuan Hu , Yisu Remy Wang , Daniel P. Miranker

The performance of worst-case optimal join algorithms depends on the order in which the join attributes are processed. Selecting good orders before query execution is hard, due to the large space of possible orders and unreliable execution…

Databases · Computer Science 2023-08-01 Junxiong Wang , Immanuel Trummer , Ahmet Kara , Dan Olteanu

Top-k queries have been studied intensively in the database community and they are an important means to reduce query cost when only the "best" or "most interesting" results are needed instead of the full output. While some optimality…

Databases · Computer Science 2020-05-04 Nikolaos Tziavelis , Wolfgang Gatterbauer , Mirek Riedewald

Decision systems deal with a large volume of data stored in new databases called data warehouses. Data warehouses are typically modeled by a star schema that conventionally presents a central fact table and a set of dimension tables. The…

Databases · Computer Science 2019-02-06 Issam Ghabry

Join optimization has been dominated by Selinger-style, pairwise optimizers for decades. But, Selinger-style algorithms are asymptotically suboptimal for applications in graphic analytics. This suboptimality is one of the reasons that many…

Databases · Computer Science 2015-03-19 Dung Nguyen , Molham Aref , Martin Bravenboer , George Kollias , Hung Q. Ngo , Christopher Ré , Atri Rudra

We present a simple geometric framework for the relational join. Using this framework, we design an algorithm that achieves the fractional hypertree-width bound, which generalizes classical and recent worst-case algorithmic results on…

Databases · Computer Science 2016-12-26 Mahmoud Abo Khamis , Hung Q. Ngo , Christopher Ré , Atri Rudra

In stream processing, stream join is one of the critical sources of performance bottlenecks. The sliding-window-based stream join provides a precise result but consumes considerable computational resources. The current solutions lack…

Databases · Computer Science 2018-11-14 Fei Pan , Hans-Arno Jacobsen

In cloud databases, cloud computation over sensitive data uploaded by clients inevitably causes concern about data security and privacy. Even when encryption primitives and trusted computing environments are integrated into query processing…

Databases · Computer Science 2025-01-10 Xiao Hu , Zhiang Wu

As an essential operation in data cleaning, the similarity join has attracted considerable attention from the database community. In this paper, we study string similarity joins with edit-distance constraints, which find similar string…

Databases · Computer Science 2011-12-01 Guoliang Li , Dong Deng , Jiannan Wang , Jianhua Feng

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

Pipelines combining SQL-style business intelligence (BI) queries and linear algebra (LA) are becoming increasingly common in industry. As a result, there is a growing need to unify these workloads in a single framework. Unfortunately,…

Databases · Computer Science 2017-08-29 Christopher R. Aberger , Andrew Lamb , Kunle Olukotun , Christopher Ré

In this thesis, we design algorithms for several NP-hard problems in both worst and beyond worst case settings. In the first part of the thesis, we apply the traditional worst case methodology and design approximation algorithms for the Hub…

Data Structures and Algorithms · Computer Science 2018-07-26 Haris Angelidakis

In this paper we study a worst case to average case reduction for the problem of matrix multiplication over finite fields. Suppose we have an efficient average case algorithm, that given two random matrices $A,B$ outputs a matrix that has a…

Data Structures and Algorithms · Computer Science 2024-04-15 Ashish Gola , Igor Shinkar , Harsimran Singh

Direct Multisearch is a well-established class of algorithms, suited for multiobjective derivative-free optimization. In this work, we analyze the worst-case complexity of this class of methods in its most general formulation for…

Optimization and Control · Mathematics 2020-11-04 A. L. Custódio , Y. Diouane , R. Garmanjani , E. Riccietti

It is common to encounter situations where one must solve a sequence of similar computational problems. Running a standard algorithm with worst-case runtime guarantees on each instance will fail to take advantage of valuable structure…

Machine Learning · Computer Science 2019-04-29 Daniel Alabi , Adam Tauman Kalai , Katrina Ligett , Cameron Musco , Christos Tzamos , Ellen Vitercik

We propose the algorithms for performing multiway joins using a new type of coarse grain reconfigurable hardware accelerator~-- ``Plasticine''~-- that, compared with other accelerators, emphasizes high compute capability and high on-chip…

Databases · Computer Science 2019-06-03 Kunle Olukotun , Raghu Prabhakar , Rekha Singhal , Jeffrey D. Ullman , Yaqi Zhang

This paper introduces a novel algorithm combination designed for fast one-to-many multicriteria shortest path search. A preprocessing algorithm excludes irrelevant vertices by building a smaller cover graph. A modified version of…

Data Structures and Algorithms · Computer Science 2022-02-01 Temirlan Kurbanov , Marek Cuchý , Jiří Vokřínek