Wednesday, August 15, 2018 - 1:00pm - 1:30pm
Roy Zhao (University of California, Berkeley)
RIVET computes degree-Rips bifiltrations, a two-parameter version of the Vietoris Rips complex that takes the density of points into account. In a Rips complex, a simplex appears when all of its faces appear. When computing single parameter persistent homology, we can simply take the maximum time of appearance of its faces to be the time of appearance of a particular simplex. However, in the two-parameter case, the picture is complicated because a simplex can appear at multiple incomparable indices.
Tuesday, August 14, 2018 - 1:00pm - 2:00pm
Matthew Wright (St. Olaf College)
This talk will introduce the Rank Invariant Visualization and Exploration Tool (RIVET). The first available software for two-parameter persistent homology, RIVET allows for the computation and visualization of both the bigraded Betti numbers and the rank invariant of two-dimensional persistence modules. The talk will demonstrate RIVET and explain the computational pipeline implemented in the software.
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