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...
Abstract：Given a 4-manifold X bounded by a Seifert manifold, one can use the circle action on the boundary to define a diffeomorphism on X, called the boundary Dehn twist. Such boundary Dehn twist naturally arises from singularity theory. A recent result by Konno-Mallick-Taniguchi shows that when X is a certain Milnor fiber, this boundary Dehn twist is topologically isotopic to the identity bu...
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