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...
AbstractIn the preliminary part, we will go through the notion of irreducible holomorphic symplectic (IHS) manifolds, which is one of the high-dimensional generalizations of K3 surfaces. The action of holomorphic automorphisms on IHS manifolds is well-known, in terms of cohomology actions and characteristic currents (i.e., Green currents) that the automorphism induces. We will briefly go throug...
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