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Entity resolution is a widely studied problem with several proposals to match records across relations. Matching textual content is a widespread task in many applications, such as question answering and search. While recent methods achieve…

Databases · Computer Science 2021-12-17 Naser Ahmadi , Hansjorg Sand , Paolo Papotti

We show that pointlike sets are decidable for the pseudovariety of finite semigroups whose idempotent-generated subsemigroup is R-trivial. Notably, our proof is constructive: we provide an explicit relational morphism which computes the…

Group Theory · Mathematics 2022-04-21 Karsten Henckell , Samuel Herman

Entity matching (EM) is a fundamental task in data integration and analytics, essential for identifying records that refer to the same real-world entity across diverse sources. In practice, datasets often differ widely in structure, format,…

Databases · Computer Science 2026-02-09 Mohammad Hossein Moslemi , Amir Mousavi , Behshid Behkamal , Mostafa Milani

The category of all idempotent generated semigroups with a prescribed structure $\mathcal{E}$ of their idempotents $E$ (called the biordered set) has an initial object called the free idempotent generated semigroup over $\mathcal{E}$,…

Group Theory · Mathematics 2017-12-14 Igor Dolinka , Robert D. Gray , Nik Ruškuc

For a given ergodic measure preserving transformation T of a standard measure space each finite labelled partition defines an ergodic stationary process. There is a complete metric on the space of partitions which is separable. Various…

Dynamical Systems · Mathematics 2025-07-30 Benjamin Weiss

We introduce and investigate different definitions of effective amenability, in terms of computability of F{\o}lner sets, Reiter functions, and F{\o}lner functions. As a consequence, we prove that recursively presented amenable groups have…

Group Theory · Mathematics 2018-07-04 Matteo Cavaleri

We introduce and study Polish topologies on various spaces of countable enumerated groups, where an enumerated group is simply a group whose underlying set is the set of natural numbers. Using elementary tools and well known examples from…

Group Theory · Mathematics 2021-12-08 Isaac Goldbring , Srivatsav Kunnawalkam Elayavalli , Yash Lodha

For this paper, we studied the time evolution of a system of coagulating particles under a generalized electrorheological (ER) kernel with real power, $K\left(i,j\right) = \left( \frac{1}{i}+\frac{1}{j} \right)^\alpha$, and monodisperse…

Statistical Mechanics · Physics 2020-10-13 Michał Łepek , Agata Fronczak , Piotr Fronczak

Real-world applications frequently seek to solve a general form of the Entity Matching (EM) problem to find associated entities. Such scenarios include matching jobs to candidates in job targeting, matching students with courses in online…

Databases · Computer Science 2022-06-13 Jin Wang , Yuliang Li , Wataru Hirota , Eser Kandogan

In this paper we presents further developments regarding the enrichment of the basic Theory of Order Completion. In particular, spaces of generalized functions are constructed that contain generalized solutions to all systems of continuous,…

Analysis of PDEs · Mathematics 2008-04-23 J. H. van der Walt

Correlations in Einstein-Podolsky-Rosen (EPR) scenarios, captured by \textit{assemblages} of unnormalised quantum states, have recently caught the attention of the community, both from a foundational and an information-theoretic…

Quantum Physics · Physics 2025-01-15 Matty J. Hoban , Tom Drescher , Ana Belén Sainz

Entity disambiguation (ED), which links the mentions of ambiguous entities to their referent entities in a knowledge base, serves as a core component in entity linking (EL). Existing generative approaches demonstrate improved accuracy…

Computation and Language · Computer Science 2024-05-09 Junxiong Wang , Ali Mousavi , Omar Attia , Ronak Pradeep , Saloni Potdar , Alexander M. Rush , Umar Farooq Minhas , Yunyao Li

We propose a novel and efficient algorithm for the collaborative preference completion problem, which involves jointly estimating individualized rankings for a set of entities over a shared set of items, based on a limited number of…

Machine Learning · Statistics 2016-11-16 Suriya Gunasekar , Oluwasanmi Koyejo , Joydeep Ghosh

This paper covers automated settlement of receivables in non-governmental organizations. We tackle the problem with entity matching techniques. We consider setup, where base algorithm is used for preliminary ranking of matches, then we…

This paper deals with the issue of conceptual models role in capturing semantics and aligning them to serve the remaining development phases of systems design. Specifically, the entity-relationship (ER) model is selected as an example of…

Databases · Computer Science 2025-03-11 Sabah Al-Fedaghi

In this article we develop a convergence theory for goal-oriented adaptive finite element algorithms designed for a class of second-order semilinear elliptic equations. We briefly discuss the target problem class, and introduce several…

Numerical Analysis · Mathematics 2014-04-24 Michael Holst , Sara Pollock , Yunrong Zhu

Conceptual modelling using the entity relationship (ER) model has been widely used for database design for a long period of time. However, studies indicate that creating a satisfactory relational model representation from an ER model is…

Databases · Computer Science 2013-07-01 Dhammika Pieris

There have been several recent advancements in Machine Learning community on the Entity Matching (EM) problem. However, their lack of scalability has prevented them from being applied in practical settings on large real-life datasets.…

Databases · Computer Science 2011-03-15 Vibhor Rastogi , Nilesh Dalvi , Minos Garofalakis

This paper studies the concept of algorithmic equiresolution of a family of embedded varieties or ideals, which means a simultaneous resolution of such a family compatible with a given (suitable) algorithm of resolution in characteristic…

Algebraic Geometry · Mathematics 2010-05-06 Augusto Nobile

Edge (or N\'ed\'elec) finite elements are theoretically sound and widely used by the computational electromagnetics community. However, its implementation, specially for high order methods, is not trivial, since it involves many…

Numerical Analysis · Mathematics 2019-03-20 Marc Olm , Santiago Badia , Alberto F. Martín