PrerequisiteThe elementary theory about algebraic topologyAbstractIn applied mathematics, topological based data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. In this course we will concentrate mainly on two such techniques: persistent homology and GLMY-homology. Persistent homology is an algebraic tool for measuring topological features of shapes and...
AbstractDeep convolutional networks have proved to be extremely powerful in image analysis. However.they tend to be biased toward local features such as texture and often fail to capture the globalstructure of image and volume data. Persistent homology (PH), a tool from the emerging field oftopological data analysis, has been successfully used to detect global characteristics of data thatare ov...
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