Applied topology 16: Sublevelset persistent homology скачать в хорошем качестве

Applied topology 16: Sublevelset persistent homology

Applied topology 16: Sublevelset persistent homology Abstract: We give a short introduction to sublevelset persistent homology. At the very end, I probably misspeak when I say that sublevelset persistent homology is the second-most popular form of persistent homology, especially since filtrations formed on top of point cloud data formed by growing a ball around each point can also be viewed as an example of sublevelset persistence (of the distance function to the set of points)! The example function in this video is based off of Figure 4 at https://arxiv.org/pdf/2011.00918.pdf. This video accompanies the class "Topological Data Analysis" at Colorado State University: https://www.math.colostate.edu/~adams...