22 citations · 44 across the 11 of their papers we have counts for
16 papers
Topological Learning for Motion Data via Mixed Coordinates
Hengrui Luo, Jisu Kim, Alice Patania +1
Topology can extract the structural information in a dataset efficiently. In this paper, we attempt to incorporate topological information into a multiple output Gaussian process m…
An improved algorithm for Generalized Čech complex construction
Jie Chu, Mikael Vejdemo-Johansson, Ping Ji
In this paper, we present an algorithm that computes the generalized Čech complex for a finite set of disks where each may have a different radius in 2D space. An extension of this…
Generalized Penalty for Circular Coordinate Representation
Hengrui Luo, Alice Patania, Jisu Kim +1
Topological Data Analysis (TDA) provides novel approaches that allow us to analyze the geometrical shapes and topological structures of a dataset. As one important application, TDA…
Algorithms in -algebras
Mikael Vejdemo-Johansson
Building on Kadeishvili's original theorem inducing -algebra structures on the homology of dg-algebras, several directions of algorithmic research in -algebras…
3d-printing Identification Spaces of the Square
Mikael Vejdemo-Johansson
We describe three identification spaces of the square, interesting choices of immersion into , and a process to construct 3d-printable models of their parametrization…
Multiple testing with persistent homology
Mikael Vejdemo-Johansson, Sayan Mukherjee
In this paper we propose a computationally efficient multiple hypothesis testing procedure for persistent homology. The computational efficiency of our procedure is based on the ob…