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A fully tensorial theoretical framework for hypercomplex-valued neural networks is presented. The proposed approach enables neural network architectures to operate on data defined over arbitrary finite-dimensional algebras. The central…

Machine Learning · Computer Science 2026-01-27 Agnieszka Niemczynowicz , Radosław Antoni Kycia

We present bundled references, a new building block to provide linearizable range query operations for highly concurrent linked data structures. Bundled references allow range queries to traverse a path through the data structure that is…

Data Structures and Algorithms · Computer Science 2021-01-01 Jacob Nelson , Ahmed Hassan , Roberto Palmieri

We adapt methods coming from additive combinatorics in groups to the study of linear span in associative unital algebras. In particular, we establish for these algebras analogues of Diderrich-Kneser's and Hamidoune's theorems on sumsets and…

Combinatorics · Mathematics 2015-06-24 Vincent Beck , Cédric Lecouvey

Nowadays, scientific databases have become the bread-and-butter of particle physicists. These databases must be maintained and checked repeatedly to insure the accuracy of their content. The COMPETE collaboration aims at motivating data…

Hyperparameter optimization is an essential component in many data science pipelines and typically entails exhaustive time and resource-consuming computations in order to explore the combinatorial search space. Similar to this problem,…

Ordered, linear, and other substructural type systems allow us to expose deep properties of programs at the syntactic level of types. In this paper, we develop a family of unary logical relations that allow us to prove consequences of…

Logic in Computer Science · Computer Science 2025-03-06 C. B. Aberlé , Chris Martens , Frank Pfenning

Enabling question answering over tables and databases in natural language has become a key capability in the democratization of insights from tabular data sources. These systems first require retrieval of data that is relevant to a given…

Information Retrieval · Computer Science 2026-03-10 Wojciech Kosiuk , Xingyu Ji , Yeounoh Chung , Fatma Özcan , Madelon Hulsebos

We consider tensor grammars, which are an example of \commutative" grammars, based on the classical (rather than intuitionistic) linear logic. They can be seen as a surface representation of abstract categorial grammars ACG in the sense…

Logic · Mathematics 2021-11-22 Sergey Slavnov

Our goal is to build classification models using a combination of free-text and structured data. To do this, we represent structured data by text sentences, DataWords, so that similar data items are mapped into the same sentence. This…

Machine Learning · Computer Science 2022-02-18 Stephen I. Gallant , Mirza Nasir Hossain

Recognizing similarities among entities is central to both human cognition and computational intelligence. Within this broader landscape, Entity Set Expansion is one prominent task aimed at taking an initial set of (tuples of) entities and…

Artificial Intelligence · Computer Science 2026-01-08 Giovanni Amendola , Pietro Cofone , Marco Manna , Aldo Ricioppo

We introduce an extension of the propositional calculus to include abstracts of predicates and quantifiers, employing a single rule along with a novel comprehension schema and a principle of extensionality, which are substituted for the…

Logic · Mathematics 2010-03-23 Lucius T. Schoenbaum

In this paper one proposes a simple algorithm of combining the fusion rules, those rules which first use the conjunctive rule and then the transfer of conflicting mass to the non-empty sets, in such a way that they gain the property of…

Artificial Intelligence · Computer Science 2010-09-14 Florentin Smarandache , Jean Dezert

Information Retrieval (IR) is concerned with the identification of documents in a collection that are relevant to a given information need, usually represented as a query containing terms or keywords, which are supposed to be a good…

Information Retrieval · Computer Science 2013-02-01 Luis M. de Campos , Juan M. Fernandez-Luna , Juan F. Huete

Machine learning has recently been widely adopted to address the managerial decision making problems, in which the decision maker needs to be able to interpret the contributions of individual attributes in an explicit form. However, there…

Machine Learning · Computer Science 2019-10-28 Mengzhuo Guo , Qingpeng Zhang , Xiuwu Liao , Frank Youhua Chen , Daniel Dajun Zeng

Tensors are ubiquitous in statistics and data analysis. The central object that links data science to tensor theory and algebra is that of a model with latent variables. We provide an overview of tensor theory, with a particular emphasis on…

Statistics Theory · Mathematics 2024-11-22 Marta Casanellas , Luis Sierra , Piotr Zwiernik

Entity matching is a critical challenge in data integration and cleaning, central to tasks like fuzzy joins and deduplication. Traditional approaches have focused on overcoming fuzzy term representations through methods such as edit…

Databases · Computer Science 2024-05-30 Zezhou Huang

When exploring a new dataset, Data Scientists often apply analysis queries, look for insights in the resulting dataframe, and repeat to apply further queries. We propose in this paper a novel solution that assists data scientists in this…

Databases · Computer Science 2022-09-15 Daniel Deutch , Amir Gilad , Tova Milo , Amit Mualem , Amit Somech

In this study, a novel method for extracting named entities and relations from unstructured text based on the table representation is presented. By using contextualized word embeddings, the proposed method computes representations for…

Computation and Language · Computer Science 2022-01-28 Youmi Ma , Tatsuya Hiraoka , Naoaki Okazaki

We introduce a category-theoreticabstraction of a syntax with auxiliary functions, called an admissiblemonad morphism. Relying on an abstract form of structural recursion,we then design generic tools to construct admissible monad…

Logic in Computer Science · Computer Science 2022-04-11 Tom Hirschowitz , Ambroise Lafont

Optimizing the physical data storage and retrieval of data are two key database management problems. In this paper, we propose a language that can express a wide range of physical database layouts, going well beyond the row- and…

Programming Languages · Computer Science 2020-02-07 John K. Feser , Samuel Madden , Nan Tang , Armando Solar-Lezama
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