Improving Metric Dimensionality Reduction with Distributed Topology

14 June 2021

Papers citing "Improving Metric Dimensionality Reduction with Distributed Topology"

10 / 10 papers shown

Title
From Geometry to Topology: Inverse Theorems for Distributed Persistence Elchanan Solomon Alexander Wagner Paul Bendich 26 23 0 28 Jan 2021
Understanding How Dimension Reduction Tools Work: An Empirical Approach to Deciphering t-SNE, UMAP, TriMAP, and PaCMAP for Data Visualization Yingfan Wang Haiyang Huang Cynthia Rudin Yaron Shaposhnik 203 312 0 08 Dec 2020
TopoMap: A 0-dimensional Homology Preserving Projection of High-Dimensional Data Harish Doraiswamy Julien Tierny Paulo J. S. Silva L. G. Nonato Claudio Silva 28 31 0 03 Sep 2020
Topological Autoencoders Michael Moor Max Horn Bastian Rieck Karsten Borgwardt 49 150 0 03 Jun 2019
Homology-Preserving Dimensionality Reduction via Manifold Landmarking and Tearing Lin Yan Yaodong Zhao Paul Rosen C. Scheidegger Bei Wang 41 14 0 22 Jun 2018
Stochastic subgradient method converges on tame functions Damek Davis Dmitriy Drusvyatskiy Sham Kakade Jason D. Lee 56 251 0 20 Apr 2018
UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction Leland McInnes John Healy James Melville 154 9,409 0 09 Feb 2018
Persistence Images: A Stable Vector Representation of Persistent Homology Henry Adams Sofya Chepushtanova Tegan H. Emerson Eric M. Hanson Michael Kirby Francis C. Motta R. Neville C. Peterson Patrick D. Shipman Lori Ziegelmeier 74 678 0 22 Jul 2015
Confidence sets for persistence diagrams Brittany Terese Fasy F. Lecci Alessandro Rinaldo Larry A. Wasserman Sivaraman Balakrishnan Aarti Singh 63 301 0 28 Mar 2013
Statistical topological data analysis using persistence landscapes Peter Bubenik 143 856 0 27 Jul 2012