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：Thinking about the configuration space of n-tuples in the complex plane as the space of monic squarefree polynomials, there is a natural equicritical stratification according to the multiplicities of the critical points. There is a lot to be interested in about these spaces: what are their fundamental groups (“stratified braid groups”)? Are they K(pi,1)’s? How much of the fundament...
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