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Katharine Turner
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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 11, 48, 2017
4562017
Fréchet means for distributions of persistence diagrams
K Turner, Y Mileyko, S Mukherjee, J Harer
Discrete & Computational Geometry 52, 44-70, 2014
2952014
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
2022014
Hypothesis testing for topological data analysis
A Robinson, K Turner
Journal of Applied and Computational Topology, 2017
86*2017
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
842016
Probabilistic Fréchet means for time varying persistence diagrams
E Munch, K Turner, P Bendich, S Mukherjee, J Mattingly, J Harer
81*2015
How many directions determine a shape and other sufficiency results for two topological transforms
J Curry, S Mukherjee, K Turner
Transactions of the American Mathematical Society, Series B 9 (32), 1006-1043, 2022
732022
Wasserstein stability for persistence diagrams
P Skraba, K Turner
arXiv preprint arXiv:2006.16824, 2020
722020
Medians of sets of persistence diagrams
K Turner
Homology, Homotopy and Applications, 255–282, 2020
33*2020
Intrinsic interleaving distance for merge trees
E Gasparovic, E Munch, S Oudot, K Turner, B Wang, Y Wang
arXiv preprint arXiv:1908.00063, 2019
312019
Rips filtrations for quasimetric spaces and asymmetric functions with stability results
K Turner
Algebraic & Geometric Topology 19 (3), 1135-1170, 2019
29*2019
Same but different: Distance correlations between topological summaries
K Turner, G Spreemann
Topological Data Analysis: The Abel Symposium 2018, 459-490, 2020
162020
Cone fields and topological sampling in manifolds with bounded curvature
K Turner
Foundations of Computational Mathematics 13, 913-933, 2013
92013
The extended persistent homology transform of manifolds with boundary
K Turner, V Robins, J Morgan
arXiv preprint arXiv:2208.14583, 2022
62022
Reconstructing linearly embedded graphs: A first step to stratified space learning
Y Bokor, K Turner, C Williams
Foundations of Data Science 4 (4), 537-561, 2022
42022
Stratified space learning: Reconstructing embedded graphs
Y Bokor, D Grixti-Cheng, M Hegland, S Roberts, K Turner
arXiv preprint arXiv:1909.12474, 2019
42019
Harmonic tori in De Sitter spaces
E Carberry, K Turner
Geometriae Dedicata 170, 143-155, 2014
42014
Research in Computational Topology 2
E Gasparovic, V Robins, K Turner
Springer, 2022
22022
Fitting Markovian binary trees using global and individual demographic data
S Hautphenne, M Massaro, K Turner
Theoretical population biology 128, 39-50, 2019
22019
Toda frames, harmonic maps and extended Dynkin diagrams
E Carberry, K Turner
Differential Geometry and its Applications 52, 142-157, 2017
2*2017
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