Katharine Turner
TitleCited byYear
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
149*2017
Fréchet means for distributions of persistence diagrams
K Turner, Y Mileyko, S Mukherjee, J Harer
Discrete & Computational Geometry 52 (1), 44-70, 2014
1152014
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
662014
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
45*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
372016
Hypothesis testing for topological data analysis
A Robinson, K Turner
Journal of Applied and Computational Topology, 2017
24*2017
Means and medians of sets of persistence diagrams
K Turner
arXiv preprint arXiv:1307.8300, 2013
182013
Generalizations of the Rips filtration for quasi-metric spaces with persistent homology stability results
K Turner
arXiv preprint arXiv:1608.00365, 2016
13*2016
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
72018
Cone fields and topological sampling in manifolds with bounded curvature
K Turner
Foundations of Computational Mathematics 13 (6), 913-933, 2013
62013
Same but Different: distance correlations between topological summaries
K Turner, G Spreemann
arXiv preprint arXiv:1903.01051, 2019
52019
Harmonic tori in De Sitter spaces
E Carberry, K Turner
Geometriae Dedicata 170 (1), 143-155, 2014
32014
Toda frames, harmonic maps and extended Dynkin diagrams
E Carberry, K Turner
Differential Geometry and its Applications 52, 142-157, 2017
2*2017
Intrinsic Interleaving Distance for Merge Trees
E Gasparovic, E Munch, S Oudot, K Turner, B Wang, Y Wang
arXiv preprint arXiv:1908.00063, 2019
12019
Stratified Space Learning: Reconstructing Embedded Graphs
Y Bokor, D Grixti-Cheng, M Hegland, S Roberts, K Turner
arXiv preprint arXiv:1909.12474, 2019
2019
Fitting Markovian binary trees using global and individual demographic data
S Hautphenne, M Massaro, K Turner
Theoretical population biology, 2019
2019
Density of Local Maxima of the Distance Function to a Set of Points in the Plane
N Amenta, EW Chambers, T Emerson, R Glover, K Turner, S Yap
Research in Computational Topology, 115-123, 2018
2018
Topological Data Analysis
K Turner
ANU NECTAR Collaboration across boundaries: a cross-disciplinary conference …, 2017
2017
Topological analysis of the connectome of digital reconstructions of neural microcircuits
R Levi, P Dlotko, K Hess, M Nolte, E Muller, M Reimann, M Scolamiero, ...
arXiv, 2016
2016
Topics in a statistical approach to applied topology
K Turner
The University of Chicago, 2015
2015
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Articles 1–20