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We introduce a new feature map for barcodes that arise in persistent homology computation.
Groups of polynomial growth and expanding maps
M. Gromov · 1981
Earlier work this paper cites.
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A. Hatcher · 2002
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Outex-new framework for empirical evaluation of texture analysis algorithms
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Differential equations driven by rough paths, 2007
T. J. Lyons, M. Caruana, and T. Lévy · 2004
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Computing persistent homology
A. Zomorodian and G. Carlsson · 2005
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Stability of persistence diagrams
D. Cohen-Steiner, H. Edelsbrunner, and J. Harer · 2007
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V. de Silva and R. Ghrist · 2007
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R. Ghrist · 2008
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Multidimensional stochastic processes as rough paths: theory and applications
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Earlier work this paper cites.
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Earlier work this paper cites.
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V. Nanda and R. Sazdanović · 2014
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K. Turner, S. Mukherjee, and D. M. Boyer · 2014
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Statistical topological data analysis using persistence landscapes
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Structure and stability of persistence modules
F. Chazal, V. de Silva, M. Glisse, and S. Oudot · 2016
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Characteristic functions of measures on geometric rough paths
I. Chevyrev and T. Lyons · 2016
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Matroid filtrations and computational persistent homology
R. Ghrist and G. Henselman · 2016
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Kernels for sequentially ordered data
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Persistent homology-based gait recognition robust to upper body variations
J. Lamar-Leon, R. Alonso-Baryolo, E. Garcia-Reyes, and R. Gonzalez-Diaz · 2016
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Persistence Images: A Stable Vector Representation of Persistent Homology
H. Adams, S. Chepushtanova, T. Emerson, E. Hanson, M. Kirby, F. Motta, R. Neville, C. Peterson, P. Shipman, and L. Ziegelmeier · 2017
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On the integration of weakly geometric rough paths
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Persistence images: A stable vector representation of persistent homology
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Sliced Wasserstein kernel for persistence diagrams
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Signature moments to characterize laws of stochastic processes
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