Katharine Turner
Cited by
Cited by
Cliques of neurons bound into cavities provide a missing link between structure and function
MW Reimann, M Nolte, M Scolamiero, K Turner, R Perin, G Chindemi, ...
Frontiers in computational neuroscience, 48, 2017
Fréchet means for distributions of persistence diagrams
K Turner, Y Mileyko, S Mukherjee, J Harer
Discrete & Computational Geometry 52 (1), 44-70, 2014
Persistent homology transform for modeling shapes and surfaces
K Turner, S Mukherjee, DM Boyer
Information and Inference: A Journal of the IMA 3 (4), 310-344, 2014
Probabilistic Fréchet means for time varying persistence diagrams
E Munch, K Turner, P Bendich, S Mukherjee, J Mattingly, J Harer
Electronic Journal of Statistics 9 (1), 1173-1204, 2015
Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids
V Robins, K Turner
Physica D: Nonlinear Phenomena 334, 99-117, 2016
Hypothesis testing for topological data analysis
A Robinson, K Turner
Journal of Applied and Computational Topology, 2017
How many directions determine a shape and other sufficiency results for two topological transforms
J Curry, S Mukherjee, K Turner
arXiv preprint arXiv:1805.09782, 2018
Wasserstein stability for persistence diagrams
P Skraba, K Turner
arXiv preprint arXiv:2006.16824, 2020
Medians of sets of persistence diagrams
K Turner
Homology, Homotopy and Applications, 255–282, 2020
Rips filtrations for quasimetric spaces and asymmetric functions with stability results
K Turner
Algebraic & Geometric Topology 19 (3), 1135-1170, 2019
Intrinsic interleaving distance for merge trees
E Gasparovic, E Munch, S Oudot, K Turner, B Wang, Y Wang
arXiv preprint arXiv:1908.00063, 2019
Same but different: Distance correlations between topological summaries
K Turner, G Spreemann
Topological Data Analysis, 459-490, 2020
Cone fields and topological sampling in manifolds with bounded curvature
K Turner
Foundations of Computational Mathematics 13 (6), 913-933, 2013
Harmonic tori in De Sitter spaces S 1 2 n
E Carberry, K Turner
Geometriae Dedicata 170 (1), 143-155, 2014
Stratified space learning: Reconstructing embedded graphs
Y Bokor, D Grixti-Cheng, M Hegland, S Roberts, K Turner
arXiv preprint arXiv:1909.12474, 2019
Fitting Markovian binary trees using global and individual demographic data
S Hautphenne, M Massaro, K Turner
Theoretical Population Biology 128, 39-50, 2019
Toda frames, harmonic maps and extended Dynkin diagrams
E Carberry, K Turner
Differential Geometry and its Applications 52, 142-157, 2017
Topological Data Analysis
K Turner
ANU NECTAR Collaboration across boundaries: a cross-disciplinary conference …, 2017
Graph Pseudometrics from a Topological Point of View
AL Garcia-Pulido, K Hess, J Tan, K Turner, B Wang, N Yerolemou
Research in Computational Topology 2, 99-128, 2022
Notes on an Elementary Proof for the Stability of Persistence Diagrams
P Skraba, K Turner
arXiv preprint arXiv:2103.10723, 2021
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