Turner, Katharine
- Fréchet Means for Distributions of Persistence diagrams
2012/06/13 by Turner, Katharine, Mileyko, Yuriy, Mukherjee, Sayan +1 · 13 citations
#51 #62 #FOS: Mathematics #General Topology (math.GN) #Metric Geometry (math.MG) #Statistics Theory (math.ST)
- Wasserstein Stability for Persistence Diagrams
2020/06/30 by Primož Škraba, Skraba, Primoz, Katharine Turner +1 · 16 citations
Computer Science · Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
- Persistent Homology Transform for Modeling Shapes and Surfaces
2013/10/03 by Turner, Katharine, Mukherjee, Sayan, Boyer, Doug M · 11 citations
#FOS: Mathematics #Statistics Theory (math.ST)
- How Many Directions Determine a Shape and other Sufficiency Results for Two Topological Transforms
2018/05/24 by Curry, Justin, Mukherjee, Sayan, Turner, Katharine · 7 citations
#Algebraic Topology (math.AT) #FOS: Mathematics #Statistics Theory (math.ST)
- Intrinsic Interleaving Distance for Merge Trees
2019/07/31 by Gasparovic, Ellen, Munch, Elizabeth, Oudot, Steve +3 · 6 citations
#Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
- Hypothesis Testing for Topological Data Analysis
2013/10/28 by Robinson, Andrew, Turner, Katharine · 2 citations
#Algebraic Topology (math.AT) #Applications (stat.AP) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
- The Extended Persistent Homology Transform of manifolds with boundary
2022/08/31 by Katharine Turner, Turner, Katharine, Vanessa Robins +3 · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · #55N31 #Algebraic Topology (math.AT) #Cell Image Analysis Techniques #FOS: Mathematics #Image Retrieval and Classification Techniques #Topological and Geometric Data Analysis
- Faster computation of degree-1 persistent homology using the reduced Vietoris-Rips filtration
2023/07/30 by Koyama, Musashi Ayrton, Memoli, Facundo, Robins, Vanessa +1 · 1 citation
#55-08 #Algebraic Topology (math.AT) #FOS: Mathematics
- Representing Vineyard Modules
2023/07/12 by Turner, Katharine · 1 citation
#Algebraic Topology (math.AT) #FOS: Mathematics #Representation Theory (math.RT)
- The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm
2024/12/09 by Musashi Ayrton Koyama, Vanessa Robins, Koyama, Musashi Ayrton +3 · 1 citation
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Algebraic Geometry and Number Theory