Results 1 to 10 of about 17,675 (211)
From Mathematics to Software Engineering: Introducing Category Theory into the Computer Science Curriculum [PDF]
Lecture Notes in Computer Science, 2007 Category theory, with its increasing role in computer science, has proved useful in the investigation of programming languages and other theoretical aspects of software engineering. As a bridge-building exercise, we introduce the category theory course into the computer science curriculum, the purpose of which includes building a unified framework to ...
Zheng Yujun, Xue Jinyun, Shi Haihe
exaly +2 more sources
Interfacing biology, category theory and mathematical statistics [PDF]
Electronic Proceedings in Theoretical Computer Science, 2020 Motivated by the concept of degeneracy in biology (Edelman, Gally 2001), we establish a first connection between the Multiplicity Principle (Ehresmann, Vanbremeersch 2007) and mathematical statistics. Specifically, we exhibit two families of statistical tests that satisfy this principle to achieve the detection of a signal in noise.
Pastor, Dominique +3 more
openaire +6 more sources
Mathematical Morphology via Category Theory
CoRR, 2020 Mathematical morphology contributes many profitable tools to image processing area. Some of these methods considered to be basic but the most important fundamental of data processing in many various applications. In this paper, we modify the fundamental of morphological operations such as dilation and erosion making use of limit and co-limit preserving
Hossein Memarzadeh Sharifipour +1 more
openaire +2 more sources
Mathematical Modelling by Help of Category Theory: Models and Relations between Them [PDF]
Mathematics, 2021 The growing complexity of modern practical problems puts high demand on mathematical modelling. Given that various models can be used for modelling one physical phenomenon, the role of model comparison and model choice is becoming particularly important. Methods for model comparison and model choice typically used in practical applications nowadays are
openaire +3 more sources
Mathematical Category Theory and Mathematical Philosophy
, 2003 Explicit concepts and sufficiently precise definitions are the basis for further advance of a science beyond a given level. To move toward a situation where the whole population has access to the authentic results of science (italics mine) requires making explicit some general philosophical principles which can help to guide the learning, development ...
openaire +1 more source
Tensor categories and the mathematics of rational and logarithmic conformal field theory [PDF]
Journal of Physics A: Mathematical and Theoretical, 2013 In response to the referees' helpful comments, further discussion of several issues is added, including in particular rigidity. Much of the paper is devoted to explaining what has been mathematically proved and where people can find these proofs. Several references added. 27 pages. Invited review article for publication in a special issue of J. Phys. A
Huang, Yi-Zhi, Lepowsky, James
openaire +2 more sources
A Mathematical Framework of Semantic Communication based on Category Theory
CoRRWhile semantic communication (SemCom) has recently demonstrated great potential to enhance transmission efficiency and reliability by leveraging machine learning (ML) and knowledge base (KB), there is a lack of mathematical modeling to rigorously characterize SemCom system and quantify the performance gain obtained from ML and KB.
Shuheng Hua +4 more
openaire +2 more sources
Notes on Category Theory with examples from basic mathematics
CoRR, 2019 These notes were originally developed as lecture notes for a category theory course. They should be well-suited to anyone that wants to learn category theory from scratch and has a scientific mind. There is no need to know advanced mathematics, nor any of the disciplines where category theory is traditionally applied, such as algebraic geometry or ...
openaire +2 more sources
Investigation Of Category Theory For Mathematical Foundations Of Computer Science
İlköğretim Online, 2023 As a potent mathematical framework, category theory has gained popularity and has important applications in many disciplines, including computer technology. The category theory's role as a basis for mathematical inference in computer science is examined in this paper.
openaire +1 more source