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We begin by defining Temperley-Lieb algebra, in two different ways: as a presented algebra or as a diagrammatic algebra. Next, we look for a basis algorithmically, using rewriting theory. Finally, we introduce a generalization of the…

Representation Theory · Mathematics 2025-08-28 Julien Thiebaut

A few topics beyond the standard model are reviewed.

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Dimopoulos

Business Process Management and Operations Research are two research fields that both aim to enhance value creation in organizations. While Business Process Management has historically emphasized on providing precise models, Operations…

Software Engineering · Computer Science 2024-09-04 Michel Kunkler , Felix Schumann , Stefanie Rinderle-Ma

The development of Machine Learning (ML) based systems is complex and requires multidisciplinary teams with diverse skill sets. This may lead to communication issues or misapplication of best practices. Process models can alleviate these…

Software Engineering · Computer Science 2024-08-29 Sergio Morales , Robert Clarisó , Jordi Cabot

This chapter discusses the current state of the art, and emerging research challenges, for metamodelling. In the state-of-the-art review on metamodelling, we review approaches, abstractions, and tools for metamodelling, evaluate them with…

Software Engineering · Computer Science 2014-09-09 Jonathan Sprinkle , Bernhard Rumpe , Hans Vangheluwe , Gabor Karsai

There have been rapid developments in model-based clustering of graphs, also known as block modelling, over the last ten years or so. We review different approaches and extensions proposed for different aspects in this area, such as the…

Machine Learning · Statistics 2020-01-01 Clement Lee , Darren J Wilkinson

Modeling has become a widespread, useful tool in mathematics applied to diverse fields, from physics to economics to biomedicine. Practitioners of modeling may use algebraic or differential equations, to the elements of which they attribute…

Other Statistics · Statistics 2025-11-07 Andrea De Gaetano

Interactive model analysis, the process of understanding, diagnosing, and refining a machine learning model with the help of interactive visualization, is very important for users to efficiently solve real-world artificial intelligence and…

Machine Learning · Computer Science 2017-02-07 Shixia Liu , Xiting Wang , Mengchen Liu , Jun Zhu

Reference management software is a well-known tool for scientific research work. Since the 1980s, it has been the subject of reviews and evaluations in library and information science literature. This paper presents a systematic review of…

Digital Libraries · Computer Science 2016-01-22 Jesús Tramullas , Ana I. Sánchez-Casabón , Piedad Garrido-Picazo

This article deals with OLAP systems based on multidimensional model. The conceptual model we provide, represents data through a constellation (multi-facts) composed of several multi-hierarchy dimensions. In this model, data are displayed…

Databases · Computer Science 2010-05-20 Franck Ravat , Olivier Teste , Gilles Zurfluh

The problem of mathematical modeling in geography is one of the most important strategies in order to establish the evolution and the prevision of geographical phenomena. Models must have a simplified structure, to reflect essential…

Computational Geometry · Computer Science 2012-03-06 Ionica Soare , Carmen Antohe

Data-driven methods play an increasingly important role in discovering geometric, structural, and semantic relationships between 3D shapes in collections, and applying this analysis to support intelligent modeling, editing, and…

Graphics · Computer Science 2015-02-25 Kai Xu , Vladimir G. Kim , Qixing Huang , Evangelos Kalogerakis

Traditional machine learning (ML) algorithms, such as multiple regression, require human analysts to make decisions on how to treat the data. These decisions can make the model building process subjective and difficult to replicate for…

Machine Learning · Computer Science 2022-01-31 William Franz Lamberti

This paper presents a comprehensive overview of model validation practices and advancement in the banking industry based on the experience of managing Model Risk Management (MRM) since the inception of regulatory guidance SR11-7/OCC11-12…

Computers and Society · Computer Science 2024-11-12 Agus Sudjianto , Aijun Zhang

We introduce a novel approach to description of networks/graphs. It is based on an analogue physical model which is dynamically evolved. This evolution depends on the connectivity matrix and readily brings out many qualitative features of…

Statistical Mechanics · Physics 2007-05-23 Vladimir Gudkov , Joseph E. Johnson , Shmuel Nussinov

The quality and correct functioning of software components embedded in electronic systems are of utmost concern especially for safety and mission-critical systems. Model-based testing and formal verification techniques can be employed to…

Formal Languages and Automata Theory · Computer Science 2019-01-08 Shahbaz Ali , Hailong Sun , Yongwang Zhao

We provide a mathematical model for the capability approach.

Theoretical Economics · Economics 2025-07-04 Rohit Parikh

The development of machine learning in particular and artificial intelligent in general has been strongly conditioned by the lack of an appropriated framework to specify and integrate learning processes, data transformation processes and…

Logic in Computer Science · Computer Science 2016-04-13 Carlos Leandro , Luís Monteiro

Over the last decade, researchers and engineers have developed a vast body of methodologies and technologies in requirements engineering for self-adaptive systems. Although existing studies have explored various aspects of this topic, few…

Software Engineering · Computer Science 2021-08-23 Zhuoqun Yang , Zhi Li , Zhi Jin

In this paper, for a given finitely generated algebra (an algebraic structure with arbitrary operations and no predicates) A we study finitely generated limit algebras of A, approaching them via model theory and algebraic geometry. Along…

Algebraic Geometry · Mathematics 2008-08-20 E. Daniyarova , A. Myasnikov , V. Remeslennikov
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