254 citations · 367 across the 6 of their papers we have counts for
8 papers
High-Dimensional Longitudinal Classification with the Multinomial Fused Lasso
Samrachana Adhikari, Fabrizio Lecci, James T. Becker +4
We study regularized estimation in high-dimensional longitudinal classification problems, using the lasso and fused lasso regularizers. The constructed coefficient estimates are pi…
Robust Topological Inference: Distance To a Measure and Kernel Distance
Frédéric Chazal, Brittany T. Fasy, Fabrizio Lecci +3
Let P be a distribution with support S. The salient features of S can be quantified with persistent homology, which summarizes topological features of the sublevel sets of the dist…
Introduction to the R package TDA
Brittany Terese Fasy, Jisu Kim, Fabrizio Lecci +1
We present a short tutorial and introduction to using the R package TDA, which provides some tools for Topological Data Analysis. In particular, it includes implementations of func…
Subsampling Methods for Persistent Homology
Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci +3
Persistent homology is a multiscale method for analyzing the shape of sets and functions from point cloud data arising from an unknown distribution supported on those sets. When th…
Stochastic Convergence of Persistence Landscapes and Silhouettes
Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci +2
Persistent homology is a widely used tool in Topological Data Analysis that encodes multiscale topological information as a multi-set of points in the plane called a persistence di…
On the Bootstrap for Persistence Diagrams and Landscapes
Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci +3
Persistent homology probes topological properties from point clouds and functions. By looking at multiple scales simultaneously, one can record the births and deaths of topological…