Topological data analysis has recently found applications in various areas of science, such
as computer vision and understanding of protein folding. However, applications of …

The field of mathematical morphology offers well-studied techniques for image processing
and is applicable for studies ranging from materials science to ecological pattern formation …

The human skeleton is essential in human-computer interaction applications as a typical
representation of human activity. Investigating the nonlinear dynamics of the skeleton …

This paper concerns a theoretical approach that combines topological data analysis (TDA)
and sheaf theory. Topological data analysis, a rising field in mathematics and computer …

In recent decades, the online sphere's influence has grown significantly. Consequently, the
proliferation of online fake content poses a serious challenge to modern society, raising …

Hierarchical clustering is a class of algorithms commonly used in exploratory data analysis
(EDA) and supervised learning. However, they suffer from some drawbacks, including the …

Data analysis helps identify changes in the microstructure of materials, but is often hindered
by the cost and time requirements of experimental data generation. Data augmentation …

Abstract Topological Data Analysis (TDA), a fast-growing research topic in applied topology,
uses techniques in algebraic topology to capture features from data. Its importance has been …

Computational topology combines theoretical topological methods with efficient algorithms
to analyse data and solve problems in some fields of computer science. In this article we …

Intuitively, similar customers should have similar credit risk. Capturing this similarity is often
attempted using Euclidean distances between customer features and predicting credit …