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Found 7 papers, 3 papers with code
High-Dimensional Longitudinal Classification with the Multinomial Fused Lasso
We study regularized estimation in high-dimensional longitudinal classification problems, using the lasso and fused lasso regularizers.
Robust Topological Inference: Distance To a Measure and Kernel Distance
However, the empirical distance function is highly non-robust to noise and outliers.
Statistics Theory Computational Geometry Algebraic Topology Statistics Theory
Introduction to the R package TDA
The salient topological features of the sublevel sets (or superlevel sets) of these functions can be quantified with persistent homology.
Mathematical Software Computational Geometry Computation
Subsampling Methods for Persistent Homology
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.
Algebraic Topology Computational Geometry Applications
Stochastic Convergence of Persistence Landscapes and Silhouettes
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 diagram.
Statistics Theory Computational Geometry Algebraic Topology Statistics Theory
On the Bootstrap for Persistence Diagrams and Landscapes
Persistent homology probes topological properties from point clouds and functions.
Algebraic Topology Computational Geometry Applications
Confidence sets for persistence diagrams
Persistent homology is a method for probing topological properties of point clouds and functions.
