-
2
-
-
77952385728
-
A principal component analysis for trees
-
MR2752149
-
AYDIN, B., PATAKI, G., WANG, H., BULLITT, E. and MARRON, J. S. (2009). A principal component analysis for trees. Ann. Appl. Stat. 3 1597–1615. MR2752149
-
(2009)
Ann. Appl. Stat
, vol.3
, pp. 1597-1615
-
-
Aydin, B.1
Pataki, G.2
Wang, H.3
Bullitt, E.4
Marron, J.S.5
-
3
-
-
0036462551
-
Initialization, noise, singularities, and scale in height ridge traversal for tubular object centerline extraction
-
AYLWARD, S. and BULLITT, E. (2002). Initialization, noise, singularities, and scale in height ridge traversal for tubular object centerline extraction. IEEE Trans. Med. Imag. 21 61–75.
-
(2002)
IEEE Trans. Med. Imag
, vol.21
, pp. 61-75
-
-
Aylward, S.1
Bullitt, E.2
-
4
-
-
84874393848
-
Central limit theorems for Fréchet means in the space of phylogenetic trees
-
MR3035753
-
BARDEN, D., LE, H. and OWEN, M. (2013). Central limit theorems for Fréchet means in the space of phylogenetic trees. Electron. J. Probab. 18 no. 25, 25. MR3035753
-
(2013)
Electron. J. Probab
, vol.18
, Issue.25
, pp. 25
-
-
Barden, D.1
Le, H.2
Owen, M.3
-
5
-
-
84961593156
-
Limiting behaviour of Fréchet means in the space of phylogenetic trees. Preprint
-
BARDEN, D., LE, H. and OWEN, M. (2014). Limiting behaviour of Fréchet means in the space of phylogenetic trees. Preprint. Available at arXiv:1409.7602v1.
-
(2014)
Available at Arxiv:1409.7602V1
-
-
Barden, D.1
Le, H.2
Owen, M.3
-
6
-
-
84922766232
-
-
Preprint. Available at arXiv:1406.0214
-
BENDICH, P., CHIN, S., CLARKE, J., DESENA, J., HARER, J., MUNCH, E., NEWMAN, A., PORTER, D., ROUSE, D., STRAWN, N. and WATKINS, A. (2014). Topological and statistical behavior classifiers for tracking applications. Preprint. Available at arXiv:1406.0214.
-
(2014)
Topological and Statistical Behavior Classifiers for Tracking Applications
-
-
Bendich, P.1
Chin, S.2
Clarke, J.3
Desena, J.4
Harer, J.5
Munch, E.6
Newman, A.7
Porter, D.8
Rouse, D.9
Strawn, N.10
Watkins, A.11
-
7
-
-
0035520029
-
Geometry of the space of phylogenetic trees
-
MR1867931
-
BILLERA, L. J., HOLMES, S. P. and VOGTMANN, K. (2001). Geometry of the space of phylogenetic trees. Adv. in Appl. Math. 27 733–767. MR1867931
-
(2001)
Adv. In Appl. Math
, vol.27
, pp. 733-767
-
-
Billera, L.J.1
Holmes, S.P.2
Vogtmann, K.3
-
8
-
-
84923901980
-
Statistical topological data analysis using persistence landscapes
-
MR3317230
-
BUBENIK, P. (2015). Statistical topological data analysis using persistence landscapes. J. Mach. Learn. Res. 16 77–102. MR3317230
-
(2015)
J. Mach. Learn. Res
, vol.16
, pp. 77-102
-
-
Bubenik, P.1
-
9
-
-
71549166348
-
The effects of healthy aging on intracerebral blood vessels visualized by magnetic resonance angiography
-
BULLITT, E., ZENG, D., MORTAMET, B., GHOSH, A., AYLWARD, S. R., LIN, W., MARKS, B. L. and SMITH, K. (2010). The effects of healthy aging on intracerebral blood vessels visualized by magnetic resonance angiography. Neurobiol. Aging 31 290–300.
-
(2010)
Neurobiol. Aging
, vol.31
, pp. 290-300
-
-
Bullitt, E.1
Zeng, D.2
Mortamet, B.3
Ghosh, A.4
Aylward, S.R.5
Lin, W.6
Marks, B.L.7
Smith, K.8
-
11
-
-
70849097151
-
Proximity of persistence modules and their diagrams
-
ACM, New York
-
CHAZAL, F., COHEN-STEINER, D., GLISSE, M., GUIBAS, L. J. and OUDOT, S. (2009). Proximity of persistence modules and their diagrams. In Proc. of the 25th Ann. ACM Symp. on Comput. Geom. 237–246. ACM, New York.
-
(2009)
Proc. of the 25Th Ann. ACM Symp. On Comput. Geom
, pp. 237-246
-
-
Chazal, F.1
Cohen-Steiner, D.2
Glisse, M.3
Guibas, L.J.4
Oudot, S.5
-
13
-
-
77954088571
-
Lipschitz functions have Lp-stable persistence
-
MR2594441
-
COHEN-STEINER, D., EDELSBRUNNER, H., HARER, J. and MILEYKO, Y. (2010). Lipschitz functions have Lp-stable persistence. Found. Comput. Math. 10 127–139. MR2594441
-
(2010)
Found. Comput. Math
, vol.10
, pp. 127-139
-
-
Cohen-Steiner, D.1
Edelsbrunner, H.2
Harer, J.3
Mileyko, Y.4
-
14
-
-
80855154431
-
Computational Topology: An Introduction
-
Providence, RI, MR2572029
-
EDELSBRUNNER, H. and HARER, J. L. (2010). Computational Topology: An Introduction. Amer. Math. Soc., Providence, RI. MR2572029
-
(2010)
Amer. Math. Soc
-
-
Edelsbrunner, H.1
Harer, J.L.2
-
15
-
-
79952497245
-
Geometries on spaces of treelike shapes
-
Lecture Notes in Computer Science 6493 160–173. Springer, Berlin
-
FERAGEN, A., LAUZE, F., LO, P., DEBRUIJNE, M. and NIELSON, M. (2011). Geometries on spaces of treelike shapes. In Computer Vision—ACCV 2010. Lecture Notes in Computer Science 6493 160–173. Springer, Berlin.
-
(2011)
Computer Vision—ACCV 2010
-
-
Feragen, A.1
Lauze, F.2
Lo, P.3
Debruijne, M.4
Nielson, M.5
-
16
-
-
84879870638
-
Toward a theory of statistical tree-shape analysis
-
FERAGEN, A., LO, P., DEBRUIJNE, M., NIELSON, M. and LAUZE, F. (2013). Toward a theory of statistical tree-shape analysis. IEEE Trans. Pattern Anal. Mach. Intell. 35 2008–2021.
-
(2013)
IEEE Trans. Pattern Anal. Mach. Intell
, vol.35
, pp. 2008-2021
-
-
Feragen, A.1
Lo, P.2
Debruijne, M.3
Nielson, M.4
Lauze, F.5
-
17
-
-
77955050585
-
Exploring uses of persistent homology for statistical analysis of landmark-based shape data
-
MR2671209
-
GAMBLE, J. and HEO, G. (2010). Exploring uses of persistent homology for statistical analysis of landmark-based shape data. J. Multivariate Anal. 101 2184–2199. MR2671209
-
(2010)
J. Multivariate Anal
, vol.101
, pp. 2184-2199
-
-
Gamble, J.1
Heo, G.2
-
18
-
-
84968511170
-
First passage and recurrence distributions
-
MR0052057
-
HARRIS, T. E. (1952). First passage and recurrence distributions. Trans. Amer. Math. Soc. 73 471–486. MR0052057
-
(1952)
Trans. Amer. Math. Soc
, vol.73
, pp. 471-486
-
-
Harris, T.E.1
-
19
-
-
0008138483
-
Phylogenies: An overview
-
HOLMES, S. P. (1999). Phylogenies: An overview. IMA Vol. Math. Appl. 112 81–118.
-
(1999)
IMA Vol. Math. Appl
, vol.112
, pp. 81-118
-
-
Holmes, S.P.1
-
20
-
-
84888363077
-
Sticky central limit theorems on open books
-
MR3127934
-
HOTZ, T., HUCKEMANN, S., LE, H., MARRON, J. S., MATTINGLY, J. C., MILLER, E., NOLEN, J., OWEN, M., PATRANGENARU, V. and SKWERER, S. (2013). Sticky central limit theorems on open books. Ann. Appl. Probab. 23 2238–2258. MR3127934
-
(2013)
Ann. Appl. Probab
, vol.23
, pp. 2238-2258
-
-
Hotz, T.1
Huckemann, S.2
Le, H.3
Marron, J.S.4
Mattingly, J.C.5
Miller, E.6
Nolen, J.7
Owen, M.8
Patrangenaru, V.9
Skwerer, S.10
-
23
-
-
82255172087
-
Probability measures on the space of persistence diagrams
-
22, MR2854323
-
MILEYKO, Y., MUKHERJEE, S. and HARER, J. (2011). Probability measures on the space of persistence diagrams. Inverse Probl. 27 124007, 22. MR2854323
-
(2011)
Inverse Probl
, vol.27
-
-
Mileyko, Y.1
Mukherjee, S.2
Harer, J.3
-
24
-
-
84909584418
-
Topo-geometric filtration scheme for geometric active contours and level sets: Application to cerebrovascular segmentation
-
Lec. Notes in Computer Science
-
MOLINA-ABRIL, H. and FRANGI, A. F. (2014). Topo-geometric filtration scheme for geometric active contours and level sets: Application to cerebrovascular segmentation. In Medical Image Computing and Computer-Assisted Intervention. Lec. Notes in Computer Science 8673 755–762.
-
(2014)
Medical Image Computing and Computer-Assisted Intervention
, vol.8673
, pp. 755-762
-
-
Molina-Abril, H.1
Frangi, A.F.2
-
25
-
-
84937862578
-
Probabilistic Fréchet means for time varying persistence diagrams
-
MR3354335
-
MUNCH, E., TURNER, K., BENDICH, P., MUKHERJEE, S., MATTINGLY, J. and HARER, J. (2015). Probabilistic Fréchet means for time varying persistence diagrams. Electron. J. Stat. 9 1173–1204. MR3354335
-
(2015)
Electron. J. Stat
, vol.9
, pp. 1173-1204
-
-
Munch, E.1
Turner, K.2
Endich, P.3
Mukherjee, S.4
Mattingly, J.5
Harer, J.6
-
26
-
-
84868016649
-
Principal components analysis in the space of phylogenetic trees
-
MR2906884
-
NYE, T. M. W. (2011). Principal components analysis in the space of phylogenetic trees. Ann. Statist. 39 2716–2739. MR2906884
-
(2011)
Ann. Statist
, vol.39
, pp. 2716-2739
-
-
Nye, T.M.W.1
-
27
-
-
84961589230
-
-
PIELOCH, A., MARRON, J. S., SKWERER, S. and BENDICH, P. (2016). Supplement to “Persistent homology analysis of brain artery trees.” DOI:10.1214/15-AOAS886SUPP.
-
(2016)
Supplement to “Persistent Homology Analysis of Brain Artery trees
-
-
Pieloch, A.1
Marron, J.S.2
Skwerer, S.3
Bendich, P.4
-
30
-
-
84959228512
-
A stable multi-scale kernel for topological machine learning
-
REININGHAUS, J., HUBER, S., BAUER, U. and KWITT, R. (2015). A stable multi-scale kernel for topological machine learning. In Proc. IEEE Conf. on Computer Vision and Pattern Recognition 4741–4748.
-
(2015)
In Proc. IEEE Conf. On Computer Vision and Pattern Recognition
, pp. 4741-4748
-
-
Reininghaus, J.1
Huber, S.2
Bauer, U.3
Kwitt, R.4
-
31
-
-
84901793170
-
Functional data analysis of tree data objects
-
MR3215818
-
SHEN, D., SHEN, H., BHAMIDI, S., MUÑOZ MALDONADO, Y., KIM, Y. and MARRON, J. S. (2014). Functional data analysis of tree data objects. J. Comput. Graph. Statist. 23 418–438. MR3215818
-
(2014)
J. Comput. Graph. Statist
, vol.23
, pp. 418-438
-
-
Shen, D.1
Shen, H.2
Bhamidi, S.3
Muñoz Maldonado, Y.4
Kim, Y.5
Marron, J.S.6
-
32
-
-
85027955861
-
Tree-oriented analysis of brain artery structure
-
MR3233139
-
SKWERER, S., BULLITT, E., HUCKEMANN, S., MILLER, E., OGUZ, I., OWEN, M., PATRANGENARU, V., PROVAN, S. and MARRON, J. S. (2014). Tree-oriented analysis of brain artery structure. J. Math. Imaging Vision 50 126–143. MR3233139
-
(2014)
J. Math. Imaging Vision
, vol.50
, pp. 126-143
-
-
Skwerer, S.1
Bullitt, E.2
Huckemann, S.3
Miller, E.4
Oguz, I.5
Owen, M.6
Patrangenaru, V.7
Provan, S.8
Marron, J.S.9
-
33
-
-
50449109596
-
Object oriented data analysis: Sets of trees
-
MR2363955
-
WANG, H. and MARRON, J. S. (2007). Object oriented data analysis: Sets of trees. Ann. Statist. 35 1849–1873. MR2363955
-
(2007)
Ann. Statist
, vol.35
, pp. 1849-1873
-
-
Wang, H.1
Marron, J.S.2
-
34
-
-
84871980577
-
A nonparametric regression model with tree-structured response
-
MR3036394
-
WANG, Y., MARRON, J. S., AYDIN, B., LADHA, A., BULLITT, E. and WANG, H. (2012). A nonparametric regression model with tree-structured response. J. Amer. Statist. Assoc. 107 1272–1285. MR3036394
-
(2012)
J. Amer. Statist. Assoc
, vol.107
, pp. 1272-1285
-
-
Wang, Y.1
Marron, J.S.2
Aydin, B.3
Ladha, A.4
Bullitt, E.5
Wang, H.6
-
35
-
-
84960362562
-
Direction-projectionpermutation for high dimensional hypothesis tests
-
To appear
-
WEI, S., LEE, C., WICHERS, L., LI, G. and MARRON, J. S. (2015). Direction-projectionpermutation for high dimensional hypothesis tests. J. Comput. Graph. Statist. To appear.
-
(2015)
J. Comput. Graph. Statist
-
-
Wei, S.1
Lee, C.2
Wichers, L.3
Li, G.4
Marron, J.S.5
-
36
-
-
84879713144
-
Digital reconstruction and morphometric analysis of human brain arterial vasculature from magnetic resonance angiography
-
WRIGHT, S. N., KOCHUNOV, P., MUT, F., BERGAMINO, M., BROWN, K.M., MAZZIOTTA, J. C., TOGA, A. W., CEBRAL, J. R. and ASCOLI, G. A. (2013). Digital reconstruction and morphometric analysis of human brain arterial vasculature from magnetic resonance angiography. Neuroimage 15 170–181.
-
(2013)
Neuroimage
, vol.15
, pp. 170-181
-
-
Wright, S.N.1
Kochunov, P.2
Mut, F.3
Bergamino, M.4
Brown, K.M.5
Mazziotta, J.C.6
Toga, A.W.7
Cebral, J.R.8
Ascoli, G.A.9
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