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Statistics and Optimization are foundational to modern Machine Learning. Here, we propose an alternative foundation based on Abstract Algebra, with mathematics that facilitates the analysis of learning. In this approach, the goal of the…

Machine Learning · Computer Science 2025-02-28 Fernando Martin-Maroto , Nabil Abderrahaman , David Mendez , Gonzalo G. de Polavieja

Analytical queries often require a mixture of relational and linear algebra operations applied to the same data. This poses a challenge to analytic systems that must bridge the gap between relations and matrices. Previous work has mainly…

Databases · Computer Science 2020-04-14 Oksana Dolmatova , Nikolaus Augsten , Michael H. Boehlen

Starting with the early alchemists, a holy grail of science has been to make desired materials by modifying the attributes of basic building blocks. Building blocks that show promise for assembling new complex materials can be synthesized…

Soft Condensed Matter · Physics 2016-03-03 Greg van Anders , Daphne Klotsa , Andrew S. Karas , Paul M. Dodd , Sharon C. Glotzer

Density functional theory and its optimization algorithm are the main methods to calculate the properties in the field of materials. Although the calculation results are accurate, it costs a lot of time and money. In order to alleviate this…

Materials Science · Physics 2021-09-21 Houchen Zuo , Yongquan Jiang , Yan Yang , Jie Hu

Enumerating all solutions of a relational algebra equation is a natural and powerful operation which, when added as a query language primitive to the nested relational algebra, yields a query language for nested relational databases,…

Logic in Computer Science · Computer Science 2007-05-23 Joachim Biskup , Jan Paredaens , Thomas Schwentick , Jan Van den Bussche

Writing declarative models has numerous benefits, ranging from automated reasoning and correction of design-level properties before systems are built, to automated testing and debugging of their implementations after they are built. Alloy…

Software Engineering · Computer Science 2024-04-02 Ana Jovanovic , Allison Sullivan

This research started with an algebra for reasoning about rely/guarantee concurrency for a shared memory model. The approach taken led to a more abstract algebra of atomic steps, in which atomic steps synchronise (rather than interleave)…

Logic in Computer Science · Computer Science 2022-01-19 Ian J. Hayes , Robert Colvin , Larissa Meinicke , Kirsten Winter , Andrius Velykis

A foundation is investigated for the application of loosely structured data on the Web. This area is often referred to as Linked Data, due to the use of URIs in data to establish links. This work focuses on emerging W3C standards which…

Logic in Computer Science · Computer Science 2011-08-02 Ross Horne , Vladimiro Sassone

We present AlloyInEcore, a tool for specifying metamodels with their static semantics to facilitate automated, formal reasoning on models. Software development projects require that software systems be specified in various models (e.g.,…

Software Engineering · Computer Science 2024-03-06 Ferhat Erata , Arda Goknil , Ivan Kurtev , Bedir Tekinerdogan

Agentic systems enable the intelligent use of research tooling, augmenting a researcher's ability to investigate and propose novel solutions to existing problems. Within Additive Manufacturing (AM), alloy selection and evaluation remains a…

Artificial Intelligence · Computer Science 2026-01-27 Peter Pak , Achuth Chandrasekhar , Amir Barati Farimani

Argument mining (AM) is the process of automatically extracting arguments, their components and/or relations amongst arguments and components from text. As the number of platforms supporting online debate increases, the need for AM becomes…

Computation and Language · Computer Science 2024-02-20 Deniz Gorur , Antonio Rago , Francesca Toni

Without any doubt, the relational paradigm has been a huge success. At the same time, we believe that the time is ripe to rethink how database systems could look like if we designed them from scratch. Would we really end up with the same…

Databases · Computer Science 2025-04-18 Jens Dittrich

Online Analytical Processing (OLAP) comprises tools and algorithms that allow querying multidimensional databases. It is based on the multidimensional model, where data can be seen as a cube, where each cell contains one or more measures…

Databases · Computer Science 2016-09-19 Bart Kuijpers , Alejandro Vaisman

During the last two decades, it has been increasingly acknowledged that the engineering of information systems usually requires a huge effort in integrating master data and business processes. This has led to a plethora of proposals, both…

Databases · Computer Science 2019-07-10 Diego Calvanese , Marco Montali , Fabio Patrizi , Andrey Rivkin

Database system architectures are undergoing revolutionary changes. Algorithms and data are being unified by integrating programming languages with the database system. This gives an extensible object-relational system where non-procedural…

Databases · Computer Science 2007-05-23 Jim Gray

Relational reasoning is the ability to infer relations that jointly bind multiple entities, attributes, or variables. This ability is central to scientific reasoning, but existing evaluations of relational reasoning in large language models…

Artificial Intelligence · Computer Science 2026-04-15 Lukas Fesser , Yasha Ektefaie , Ada Fang , Sham M. Kakade , Marinka Zitnik

Developing complex software systems is costly, time-consuming and error-prone. Model- driven development (MDD) promises to improve software productivity, timeliness, quality and cost through the transformation of abstract application models…

Software Engineering · Computer Science 2014-11-04 Hamid Bagheri

The design of sustainable materials requires access to materials performance and sustainability data from literature corpus in an organized, structured and automated manner. Natural language processing approaches, particularly large…

We develop a query answering system, where at the core of the work there is an idea of query answering by rewriting. For this purpose we extend the DL DL-Lite with the ability to support n-ary relations, obtaining the DL DLR-Lite, which is…

Databases · Computer Science 2009-02-11 Mantas Simkus , Evaldas Taroza , Lina Lubyte , Daniel Trivellato , Zivile Norkunaite

This tutorial overviews the state of the art in learning models over relational databases and makes the case for a first-principles approach that exploits recent developments in database research. The input to learning classification and…

Databases · Computer Science 2019-11-18 Maximilian Schleich , Dan Olteanu , Mahmoud Abo-Khamis , Hung Q. Ngo , XuanLong Nguyen