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In this uncertain world, data uncertainty is inherent in many applications and its importance is growing drastically due to the rapid development of modern technologies. Nowadays, researchers have paid more attention to mine patterns in…

A recent research trend involves treating database index structures as Machine Learning (ML) models. In this domain, single or multiple ML models are trained to learn the mapping from keys to positions inside a data set. This class of…

Databases · Computer Science 2024-03-12 Abdullah Al-Mamun , Hao Wu , Qiyang He , Jianguo Wang , Walid G. Aref

There are several known data structures that answer distance queries between two arbitrary vertices in a planar graph. The tradeoff is among preprocessing time, storage space and query time. In this paper we present three data structures…

Data Structures and Algorithms · Computer Science 2011-02-23 Yahav Nussbaum

The tremendous expanse of search engines, dictionary and thesaurus storage, and other text mining applications, combined with the popularity of readily available scanning devices and optical character recognition tools, has necessitated…

Databases · Computer Science 2012-07-04 Sourav Dutta , Arnab Bhattacharya

Query optimization is one of the most challenging problems in database systems. Despite the progress made over the past decades, query optimizers remain extremely complex components that require a great deal of hand-tuning for specific…

This paper concerns an expansion of first-order Belnap-Dunn logic, named $\mathrm{BD}^{\supset,\mathsf{F}}$, and an application of this logic in the area of relational database theory. The notion of a relational database, the notion of a…

Databases · Computer Science 2024-03-15 C. A. Middelburg

Neural models have shown impressive performance gains in answering queries from natural language text. However, existing works are unable to support database queries, such as "List/Count all female athletes who were born in 20th century",…

Computation and Language · Computer Science 2021-06-03 James Thorne , Majid Yazdani , Marzieh Saeidi , Fabrizio Silvestri , Sebastian Riedel , Alon Halevy

Algorithmic meta-theorems explain the tractability of large classes of computational problems by linking logical expressibility with structural graph properties. While extensions of first-order logic such as FO+dp admit efficient model…

Logic in Computer Science · Computer Science 2026-05-04 Ignasi Sau , Nicole Schirrmacher , Sebastian Siebertz , Giannos Stamoulis , Dimitrios M. Thilikos , Alexandre Vigny

In the framework of computable queries in Database Theory, there are many examples of queries to (properties of) relational database instances that can be expressed by simple and elegant third order logic ($\mathrm{TO}$) formulae. In many…

Logic in Computer Science · Computer Science 2016-12-12 Flavio Ferrarotti , Loredana Tec , José María Turull-Torres

Many known planning tasks have inherent constraints concerning the best order in which to achieve the goals. A number of research efforts have been made to detect such constraints and to use them for guiding search, in the hope of speeding…

Artificial Intelligence · Computer Science 2011-07-04 J. Hoffmann , J. Porteous , L. Sebastia

Neural networks are powerful models that have a remarkable ability to extract patterns that are too complex to be noticed by humans or other machine learning models. Neural networks are the first class of models that can train end-to-end…

Machine Learning · Computer Science 2021-08-05 Ibrahim Alshubaily

Indexed languages are a classical notion in formal language theory, which has attracted attention in recent decades due to its role in higher-order model checking: They are precisely the languages accepted by order-2 pushdown automata. The…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Richard Mandel , Corto Mascle , Georg Zetzsche

Exploiting the relationships among data is a classical query optimization technique. As persistent data is increasingly being created and maintained programmatically, prior work that infers data relationships from data statistics misses an…

Databases · Computer Science 2023-01-02 Xiaoxuan Liu , Shuxian Wang , Mengzhu Sun , Sicheng Pan , Ge Li , Siddharth Jha , Cong Yan , Junwen Yang , Shan Lu , Alvin Cheung

Bounded model checking of pointer programs is a debugging technique for programs that manipulate dynamically allocated pointer structures on the heap. It is based on the following four observations. First, error conditions like dereference…

Logic in Computer Science · Computer Science 2016-03-02 Witold Charatonik , Piotr Witkowski

Hierarchical clustering is a popular unsupervised data analysis method. For many real-world applications, we would like to exploit prior information about the data that imposes constraints on the clustering hierarchy, and is not captured by…

Data Structures and Algorithms · Computer Science 2018-07-17 Vaggos Chatziafratis , Rad Niazadeh , Moses Charikar

Query optimizer is a crucial module for database management systems. Existing optimizers exhibit two flawed paradigms: (1) cost-based optimizers use dynamic programming with cost models but face search space explosion and heuristic pruning…

Databases · Computer Science 2025-06-23 Jiazhen Peng , Zheng Qu , Xiaoye Miao , Rong Zhu

We consider the problem of performing predecessor searches in a bounded universe while achieving query times that depend on the distribution of queries. We obtain several data structures with various properties: in particular, we give data…

Data Structures and Algorithms · Computer Science 2017-07-06 Prosenjit Bose , Rolf Fagerberg , John Howat , Pat Morin

We show that unlike machine learning classifiers, there are no complex boundary structures in the decision boundaries for well-trained deep models. However, we found that the complicated structures do appear in training but they vanish…

Machine Learning · Computer Science 2022-11-30 Hengshuai Yao

Modern databases use dynamic search structures that store an enormous amount of data, and often serve them using multi-threaded algorithms to support the ever-increasing throughput needs. When this throughput need exceeds the capacity of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-17 Raaghav Ravishankar , Sandeep Kulkarni , Sathya Peri , Gokarna Sharma

This thesis presents practical suggestions towards the implementation of the hyperset approach to semi-structured databases and the associated query language Delta. This work can be characterised as part of a top-down approach to…

Databases · Computer Science 2009-02-17 Richard Molyneux