Human Body Shapes Anomaly Detection and Classification Using Persistent Homology

Article Computer Science, Information Systems

Topological data analysis for geographical information science using persistent homology

Padraig Corcoran et al.

Summary: Topological data analysis (TDA) is a new and emerging research field that applies topology to data analysis. It has been successfully used in geographic information science (GIS) research and has potential for future applications.

INTERNATIONAL JOURNAL OF GEOGRAPHICAL INFORMATION SCIENCE (2023)

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Review Computer Science, Interdisciplinary Applications

Topological data analysis in biomedicine: A review

Yara Skaf et al.

Summary: In recent years, the utilization of digital technologies in biomedicine has increased dramatically, leading to a surge in available data. However, current data analysis tools are struggling to extract meaningful knowledge from this wealth of information. This article introduces the concept of topological data analysis (TDA), a mathematical method grounded in algebraic topology, that aims to describe and utilize features related to the shape of data. The article provides a conceptual discussion of TDA and surveys its applications in scientific research, with the goal of making these techniques more accessible to non-mathematicians.

JOURNAL OF BIOMEDICAL INFORMATICS (2022)

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Article Computer Science, Software Engineering

Fast and accurate computation of high-order Tchebichef polynomials

Sadiq H. Abdulhussain et al.

Summary: This article introduces a computationally efficient and numerically stable algorithm for generating discrete Tchebichef polynomials (DTPs) coefficients, which can be applied to high order moments and large signal sizes.

CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE (2022)

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Article Computer Science, Information Systems

Fast Computation of Hahn Polynomials for High Order Moments

Basheera M. Mahmmod et al.

Summary: This paper introduces a new method for computing Hahn orthogonal bases to address the issue of numerical instability in high-order DHPs.

IEEE ACCESS (2022)

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Review Computer Science, Artificial Intelligence

An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists

Frederic Chazal et al.

Summary: With the rapid growth of available data, topological data analysis (TDA) has emerged as a field providing new mathematical theories and computational tools for inferring relevant features of complex data. TDA can be used independently or in combination with other data analysis and statistical learning techniques.

FRONTIERS IN ARTIFICIAL INTELLIGENCE (2021)

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Article Materials Science, Textiles