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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

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

Data Structures and Algorithms · Computer Science 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

Collective entity disambiguation aims to jointly resolve multiple mentions by linking them to their associated entities in a knowledge base. Previous works are primarily based on the underlying assumption that entities within the same…

Information Retrieval · Computer Science 2018-07-17 Minh C. Phan , Aixin Sun , Yi Tay , Jialong Han , Chenliang Li

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

We study a class of aggregate-join queries with multiple aggregation operators evaluated over annotated relations. We show that straightforward extensions of standard multiway join algorithms and generalized hypertree decompositions (GHDs)…

Databases · Computer Science 2015-12-11 Manas Joglekar , Rohan Puttagunta , Christopher Ré

Join ordering is the NP-hard problem of selecting the most efficient order in which to evaluate joins (conjunctive, binary operators) in a database query. Because query execution performance critically depends on this choice, join ordering…

Databases · Computer Science 2026-05-18 Tim Schwabe , Maribel Acosta

Most research on query optimization has centered on binary join algorithms like hash join and sort-merge join. However, recent years have seen growing interest in theoretically optimal algorithms, notably Yannakakis' algorithm. These…

Databases · Computer Science 2026-01-09 Zheng Luo , Wim Van den Broeck , Guy Van den Broeck , Yisu Remy Wang

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

Discovering frequent itemset is a key difficulty in significant data mining applications, such as the discovery of association rules, strong rules, episodes, and minimal keys. The problem of developing models and algorithms for multilevel…

Databases · Computer Science 2012-09-28 Pratima Gautam , Rahul Shukla

We propose an algorithm to enhance certified robustness of a deep model ensemble by optimally weighting each base model. Unlike previous works on using ensembles to empirically improve robustness, our algorithm is based on optimizing a…

Machine Learning · Statistics 2019-11-01 Huan Zhang , Minhao Cheng , Cho-Jui Hsieh

The matrix profile is an effective data mining tool that provides similarity join functionality for time series data. Users of the matrix profile can either join a time series with itself using intra-similarity join (i.e., self-join) or…

Databases · Computer Science 2023-11-07 Chin-Chia Michael Yeh , Yan Zheng , Junpeng Wang , Huiyuan Chen , Zhongfang Zhuang , Wei Zhang , Eamonn Keogh

We study efficient algorithms for Sparse PCA in standard statistical models (spiked covariance in its Wishart form). Our goal is to achieve optimal recovery guarantees while being resilient to small perturbations. Despite a long history of…

Machine Learning · Computer Science 2020-11-13 Tommaso d'Orsi , Pravesh K. Kothari , Gleb Novikov , David Steurer

Certifying the robustness of a graph-based machine learning model poses a critical challenge for safety. Current robustness certificates for graph classifiers guarantee output invariance with respect to the total number of node pair flips…

Machine Learning · Computer Science 2023-06-27 Pierre Osselin , Henry Kenlay , Xiaowen Dong

Recent progress towards theoretical interpretability guarantees for AI has been made with classifiers that are based on interactive proof systems. A prover selects a certificate from the datapoint and sends it to a verifier who decides the…

Machine Learning · Computer Science 2023-06-08 Stephan Wäldchen

New applications of data mining, such as in biology, bioinformatics, or sociology, are faced with large datasetsstructured as graphs. We introduce a novel class of tree-shapedpatterns called tree queries, and present algorithms for…

Databases · Computer Science 2010-08-17 Eveline Hoekx , Jan Van den Bussche

One of the primary goals of the mathematical analysis of algorithms is to provide guidance about which algorithm is the "best" for solving a given computational problem. Worst-case analysis summarizes the performance profile of an algorithm…

Data Structures and Algorithms · Computer Science 2020-07-28 Tim Roughgarden

Decision trees remain one of the most popular machine learning models today, largely due to their out-of-the-box performance and interpretability. In this work, we present a Bayesian approach to decision tree induction via maximum a…

Machine Learning · Computer Science 2023-12-21 Colin Sullivan , Mo Tiwari , Sebastian Thrun

We discuss optimization problems over convex cones in which membership is difficult to verify directly. In the standard theory of duality, vectors in the dual cone $K^*$ are associated with separating hyperplanes and interpreted as…

Optimization and Control · Mathematics 2026-03-27 Joonyeob Lee , Dávid Papp , Anita Varga

Pipelined Byzantine Fault Tolerant (BFT) consensus is fundamental to permissioned blockchains. However, many existing protocols are limited by the requirement for view-consecutive quorum certificates (QCs). This constraint impairs…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-23 Kaiji Yang , Jingjing Zhang , Junyao Zheng , Qiwen Liu , Weigang Wu , Jieying Zhou

Apriori Algorithm is one of the most important algorithm which is used to extract frequent itemsets from large database and get the association rule for discovering the knowledge. It basically requires two important things: minimum support…

Databases · Computer Science 2014-11-25 Akshita Bhandari , Ashutosh Gupta , Debasis Das