-
1
-
-
80055014497
-
Planck early results XXIV: Dust in the diffuse interstellar medium and the galactic halo
-
A. Abergel et al. (2011). Planck early results XXIV: Dust in the diffuse interstellar medium and the galactic halo. Astron. Astrophys. 536, A24.
-
(2011)
Astron. Astrophys.
, vol.536
-
-
Abergel, A.1
-
2
-
-
0003529366
-
-
Wiley Series in Probability and Mathematical Statistics
-
R. Adler (1981), The Geometry of Random Fields, Wiley Series in Probability and Mathematical Statistics.
-
(1981)
The Geometry of Random Fields
-
-
Adler, R.1
-
4
-
-
84864377665
-
Persistent homology for random fields and complexes
-
R. Adler, O. Bobrowski, M. Borman, E. Subag and S.Weinberger (2010), Persistent homology for random fields and complexes. In Borrowing Strength: Theory Powering Applications: A Festschrift for Lawrence D. Brown, Vol. 6, pp. 124-143.
-
(2010)
Borrowing Strength: Theory Powering Applications: A Festschrift for Lawrence D. Brown
, vol.6
, pp. 124-143
-
-
Adler, R.1
Bobrowski, O.2
Borman, M.3
Subag, E.4
Weinberger, S.5
-
6
-
-
0001839785
-
The statistics of peaks of Gaussian random fields
-
J. Bardeen, J. Bond, N. Kaiser and A. Szalay (1986). The statistics of peaks of Gaussian random fields. Astrophys. J. 304, 15-61.
-
(1986)
Astrophys. J.
, vol.304
, pp. 15-61
-
-
Bardeen, J.1
Bond, J.2
Kaiser, N.3
Szalay, A.4
-
7
-
-
0242390240
-
First-year wilkinson microwave anisotropy probe (wmap) observations: Foreground emission
-
C. Bennett, R. Hill, G. Hinshaw, M. Nolta, N. Odegard, L. Page, D. Spergel, J.Weiland, E. Wright, M. Halpern, N. Jarosik, A. Kogut, M. Limon, S. Meyer, G. Tucker and E. Wollack (2003). First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Foreground emission. Astrophys. J. Supplement Series 148, 97.
-
(2003)
Astrophys. J. Supplement Series
, vol.148
, pp. 97
-
-
Bennett, C.1
Hill, R.2
Hinshaw, G.3
Nolta, M.4
Odegard, N.5
Page, L.6
Spergel, D.7
Weiland, J.8
Wright, E.9
Halpern, M.10
Jarosik, N.11
Kogut, A.12
Limon, M.13
Meyer, S.14
Tucker, G.15
Wollack, E.16
-
8
-
-
84900492977
-
-
arXiv: 1206.4581
-
A. Blumberg, I. Gal, M. Mandell and M. Pancia (2013), Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces. arXiv:1206.4581
-
(2013)
Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure Spaces
-
-
Blumberg, A.1
Gal, I.2
Mandell, M.3
Pancia, M.4
-
9
-
-
0040211387
-
Mémoire sur la théorie generale des surfaces
-
O. Bonnet (1848). Mémoire sur la théorie generale des surfaces. Journal de l' Ecole Polytechnique 19, 1-146.
-
(1848)
Journal de L' Ecole Polytechnique
, vol.19
, pp. 1-146
-
-
Bonnet, O.1
-
10
-
-
0001925593
-
A note on the metric properties of trees
-
P. Buneman (1974). A note on the metric properties of trees. J. Combin. Theory B 17, 48-50.
-
(1974)
J. Combin. Theory B
, vol.17
, pp. 48-50
-
-
Buneman, P.1
-
14
-
-
67349232288
-
The theory of multidimensional persistence
-
G. Carlsson and A. Zomorodian (2009). The theory of multidimensional persistence. Discrete Comput. Geom. 42, 71-93.
-
(2009)
Discrete Comput. Geom.
, vol.42
, pp. 71-93
-
-
Carlsson, G.1
Zomorodian, A.2
-
19
-
-
70049101972
-
Gromov-Hausdorff stable signatures for shapes using persistence. Eurographics symposium on geometry processing 2009
-
F. Chazal, D. Cohen-Steiner, L. Guibas, F. Memoli and S. Oudot (2009), Gromov-Hausdorff stable signatures for shapes using persistence. In Eurographics Symposium on Geometry Processing 2009. Computer Graphics Forum 28, 1393-1403.
-
(2009)
Computer Graphics Forum
, vol.28
, pp. 1393-1403
-
-
Chazal, F.1
Cohen-Steiner, D.2
Guibas, L.3
Memoli, F.4
Oudot, S.5
-
23
-
-
8744243952
-
Multisymmetric functions
-
J. Dalbec (1999). Multisymmetric functions. Beiträge Algebra Geom. 40, 27-51
-
(1999)
Beiträge Algebra Geom.
, vol.40
, pp. 27-51
-
-
Dalbec, J.1
-
25
-
-
0033248623
-
Wedgelets: Nearly minimax estimation of edges
-
D. Donoho (1999). Wedgelets: Nearly minimax estimation of edges. Ann. Statist. 27, 859-897.
-
(1999)
Ann. Statist.
, vol.27
, pp. 859-897
-
-
Donoho, D.1
-
26
-
-
0033603539
-
Phylogenetic classification and the universal tree
-
W. Doolittle (1999). Phylogenetic classification and the universal tree. Science 284 (5423), 2124-2128.
-
(1999)
Science
, vol.284
, Issue.5423
, pp. 2124-2128
-
-
Doolittle, W.1
-
27
-
-
0036021407
-
Estimating mutation parameters, population history, and genealogy simultaneously from temporally spaced sequence data
-
A. Drummond, F. Nicholls, A. Rodrigo and W. Solomon (2002). Estimating mutation parameters, population history, and genealogy simultaneously from temporally spaced sequence data. Genetics 161, 1307-1320.
-
(2002)
Genetics
, vol.161
, pp. 1307-1320
-
-
Drummond, A.1
Nicholls, F.2
Rodrigo, A.3
Solomon, W.4
-
29
-
-
0037770508
-
Singular homology theory
-
S. Eilenberg (1944). Singular homology theory. Ann. of Math. 45, 407-447.
-
(1944)
Ann. of Math.
, vol.45
, pp. 407-447
-
-
Eilenberg, S.1
-
32
-
-
0040500290
-
Demonstratio nonnullarum insignium proprietatum quibus solida hedris planis inclusa sunt praedita
-
Opera Omnia (1) 26 94-108
-
L. Euler (1758). Demonstratio nonnullarum insignium proprietatum quibus solida hedris planis inclusa sunt praedita. Novi Commentarii Academiae Scientiarum Petropolitanae 4, 140-160. Opera Omnia (1) 26, 94-108.
-
(1758)
Novi Commentarii Academiae Scientiarum Petropolitanae
, vol.4
, pp. 140-160
-
-
Euler, L.1
-
34
-
-
24944522550
-
L'intégrale abstraite d'une fonction abstraite d'une variable abstraite et son application à la moyenne d'un élément aléatoire de nature quelconque
-
M. Fréchet (1944). L'intégrale abstraite d'une fonction abstraite d'une variable abstraite et son application à la moyenne d'un élément aléatoire de nature quelconque' Rev. Sci. 82, 483-512.
-
(1944)
Rev. Sci.
, vol.82
, pp. 483-512
-
-
Fréchet, M.1
-
35
-
-
0000315591
-
Les éléments aléatoires de nature quelconque dans un espace distancié
-
M. Fréchet (1948). Les éléments aléatoires de nature quelconque dans un espace distancié' Ann. Inst. Henri Poincaré 10, 215-310.
-
(1948)
Ann. Inst Henri Poincaré
, vol.10
, pp. 215-310
-
-
Fréchet, M.1
-
36
-
-
0003025155
-
Unzerlegbare darstellungen i
-
P. Gabriel (1972). Unzerlegbare Darstellungen I. Manuscr. Math. 6, 71-103.
-
(1972)
Manuscr. Math.
, vol.6
, pp. 71-103
-
-
Gabriel, P.1
-
38
-
-
0002357581
-
The sponge-like topology of largescale structure in the universe
-
J. Gott, M. Dickinson and A. Melott (1986). The sponge-like topology of largescale structure in the universe. Astrophys. J. 306, 341-357.
-
(1986)
Astrophys. J.
, vol.306
, pp. 341-357
-
-
Gott, J.1
Dickinson, M.2
Melott, A.3
-
39
-
-
0001876301
-
The topology of the large-scale structure of the universe
-
A. Hamilton, J. Gott and D. Weinberg (1986). The topology of the large-scale structure of the universe. Astrophys. J. 309, 1-12.
-
(1986)
Astrophys. J.
, vol.309
, pp. 1-12
-
-
Hamilton, A.1
Gott, J.2
Weinberg, D.3
-
40
-
-
0004185151
-
-
Wiley Series in Probability and Mathematical Statistics
-
J. Hartigan (1975), Clustering Algorithms, Wiley Series in Probability and Mathematical Statistics.
-
(1975)
Clustering Algorithms
-
-
Hartigan, J.1
-
42
-
-
0032492432
-
Independent component filters of natural images compared with simple cells in primary visual cortex
-
J. Van Hateren and A. Van Der Schaaf (1998). Independent component filters of natural images compared with simple cells in primary visual cortex. Proc. R. Soc. Lond. B 265, 359-366.
-
(1998)
Proc. R. Soc. Lond.
, vol.B265
, pp. 359-366
-
-
Van Hateren, J.1
Schaaf Der A.Van2
-
43
-
-
33747016509
-
The 2MASS redshift survey and low galactic latitude large-scale structure
-
K. P. Fairall and P. A. Woudt, eds), ASP Conference Series
-
J. Huchra, T. Jarrett, M. Skrutskie, R. Cutri, S. Schneider and L. Macri (2005), The 2MASS redshift survey and low galactic latitude large-scale structure. In Nearby Large-Scale Structures and the Zone of Avoidance (K. P. Fairall and P. A. Woudt, eds), ASP Conference Series, Vol. 329.
-
(2005)
Nearby Large-Scale Structures and the Zone of Avoidance
, vol.329
-
-
Huchra, J.1
Jarrett, T.2
Skrutskie, M.3
Cutri, R.4
Schneider, S.5
MacRi, L.6
-
44
-
-
13844312649
-
ZINC: A free database of commercially available compounds for virtual screening
-
J. Irwin and B. Schoichet (2005). ZINC: A free database of commercially available compounds for virtual screening. J. Chem. Inf. Model. 45, 177-182.
-
(2005)
J. Chem. Inf. Model.
, vol.45
, pp. 177-182
-
-
Irwin, J.1
Schoichet, B.2
-
45
-
-
84980162923
-
Riemannian center of mass and mollifier smoothing
-
H. Karcher (1977). Riemannian center of mass and mollifier smoothing. Comm. Pure Appl. Math. 30, 509-541.
-
(1977)
Comm. Pure Appl. Math.
, vol.30
, pp. 509-541
-
-
Karcher, H.1
-
46
-
-
84960586494
-
Probability, convexity, and harmonic maps with small image I: Uniqueness and fine existence
-
W. Kendall (1990). Probability, convexity, and harmonic maps with small image I: Uniqueness and fine existence. Proc. London Math. Soc. 61, 371-406.
-
(1990)
Proc. London Math. Soc.
, vol.61
, pp. 371-406
-
-
Kendall, W.1
-
48
-
-
0141853951
-
The non-linear statistics of high contrast patches in natural images. Internat
-
A. Lee, K. Pedersen and D. Mumford (2003). The non-linear statistics of high contrast patches in natural images. Internat. J. Computer Vision 54, 83-103.
-
(2003)
J. Computer Vision
, vol.54
, pp. 83-103
-
-
Lee, A.1
Pedersen, K.2
Mumford, D.3
-
50
-
-
0346075262
-
-
Vandenhoeck und Ruprecht. P. Lum, G. Singh, J. Carlsson, A. Lehman, T. Ishkhanov M. Vejdemo-Johansson
-
J. Listing (1848), Vorstudien zur Topologie, Vandenhoeck und Ruprecht. P. Lum, G. Singh, J. Carlsson, A. Lehman, T. Ishkhanov, M. Vejdemo-Johansson
-
(1848)
Vorstudien Zur Topologie
-
-
Listing, J.1
-
51
-
-
84873637974
-
Extracting insights from the shape of complex data using topology
-
M. Alagappan and G. Carlsson (2013), Extracting insights from the shape of complex data using topology. Nature Scientific Reports 3, #1236.
-
(2013)
Nature Scientific Reports
, vol.3
, pp. 1236
-
-
Alagappan, M.1
Carlsson, G.2
-
54
-
-
82255172087
-
Probability measures on the space of persistence diagrams
-
Y. Mileyko, S. Mukherjee and J. Harer (2011). Probability measures on the space of persistence diagrams. Inverse Problems 27, 1-22.
-
(2011)
Inverse Problems
, vol.27
, pp. 1-22
-
-
Mileyko, Y.1
Mukherjee, S.2
Harer, J.3
-
55
-
-
0004190360
-
-
Princeton University Press
-
J. Milnor (1963), Morse Theory, Princeton University Press.
-
(1963)
Morse Theory
-
-
Milnor, J.1
-
57
-
-
79955561607
-
Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival
-
M. Nicolau, A. Levine and G. Carlsson (2011), Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival. Proc. Nat. Acad. Sci. 108, 7265-7270.
-
(2011)
Proc. Nat. Acad. Sci.
, vol.108
, pp. 7265-7270
-
-
Nicolau, M.1
Levine, A.2
Carlsson, G.3
-
58
-
-
40349102105
-
Finding the homology of submanifolds with high confidence from random samples
-
P. Niyogi, S. Smale and S. Weinberger (2008). Finding the homology of submanifolds with high confidence from random samples. Discrete Comput. Geom. 39, 419-441.
-
(2008)
Discrete Comput. Geom.
, vol.39
, pp. 419-441
-
-
Niyogi, P.1
Smale, S.2
Weinberger, S.3
-
59
-
-
84879768245
-
Betti numbers of Gaussian fields
-
C. Park, P. Pranav, P. Chingangram, R. Van De Weygaert, B. Jones, G. Vegter, I. Kim, J. Hidding and W. Helwing (2013). Betti numbers of Gaussian fields. J. Korean Astron. Soc. 46, 125-131.
-
(2013)
J. Korean Astron. Soc.
, vol.46
, pp. 125-131
-
-
Park, C.1
Pranav, P.2
Chingangram, P.3
Weygaert De R.Van4
Jones, B.5
Vegter, G.6
Kim, I.7
Hidding, J.8
Helwing, W.9
-
60
-
-
84894467705
-
A Klein bottle-based dictionary for texture representation
-
J. Perea and G. Carlsson (2014). A Klein bottle-based dictionary for texture representation. Internat. J. Computer Vision 107, 75-97.
-
(2014)
Internat. J. Computer Vision
, vol.107
, pp. 75-97
-
-
Perea, J.1
Carlsson, G.2
-
64
-
-
33244484866
-
Towards computing homology from finite approximations
-
V. Robins (1999). Towards computing homology from finite approximations. Topology Proceedings 24 (1), 503-532.
-
(1999)
Topology Proceedings
, vol.24
, Issue.1
, pp. 503-532
-
-
Robins, V.1
-
65
-
-
51649180460
-
Classifying spaces and spectral sequences
-
G. Segal (1968). Classifying spaces and spectral sequences. Inst. Hautes Etudes Sci. Publ. Math. 34, 105-112.
-
(1968)
Inst. Hautes Etudes Sci. Publ. Math.
, vol.34
, pp. 105-112
-
-
Segal, G.1
-
67
-
-
85076471198
-
Topological methods for the analysis of high dimensional data sets and 3D object recognition
-
M. Botsch and R. Pajarola, eds)
-
G. Singh, F. Mémoli and G. Carlsson (2007), Topological methods for the analysis of high dimensional data sets and 3D object recognition. In Proc. Eurographics Symposium on Point-Based Graphics 2007 (M. Botsch and R. Pajarola, eds).
-
(2007)
Proc. Eurographics Symposium on Point-Based Graphics 2007
-
-
Singh, G.1
Mémoli, F.2
Carlsson, G.3
-
68
-
-
79957900658
-
The persistent cosmic web and its filamentary structure I: Theory and implementation
-
T. Sousbie (2011). The persistent cosmic web and its filamentary structure I: Theory and implementation. Mon. Not. R. Astron. Soc. 414, 350-383.
-
(2011)
Mon. Not. R. Astron. Soc.
, vol.414
, pp. 350-383
-
-
Sousbie, T.1
-
69
-
-
79957916820
-
The persistent cosmic web and its filamentary structure II: Illustrations
-
T. Sousbie, C. Pichon and H. Kawahara (2011). The persistent cosmic web and its filamentary structure II: Illustrations. Mon. Not. R. Astron. Soc. 414, 384-403.
-
(2011)
Mon. Not. R. Astron. Soc.
, vol.414
, pp. 384-403
-
-
Sousbie, T.1
Pichon, C.2
Kawahara, H.3
-
70
-
-
34347334578
-
Three-year wilkinson microwave anisotropy probe (wmap) observations: Implications for cosmology
-
D. Spergel, R. Bean, O. Doré, M. Nolta, C. Bennett, J. Dunkley, G. Hinshaw, N. Jarosik, E. Komatsu, L. Page, H. Peiris, L. Verde, M. Halpern, R. Hill, A. Kogut, M. Limon, S. S. Meyer, N. Odegards, G. Tucker, J. Weiland, E. Wollack and E. Wright (2007) 'Three-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Implications for cosmology. Astrophys. J. Supplement Series 170, 377-408.
-
(2007)
Astrophys. J. Supplement Series
, vol.170
, pp. 377-408
-
-
Spergel, D.1
Bean, R.2
Doré, O.3
Nolta, M.4
Bennett, C.5
Dunkley, J.6
Hinshaw, G.7
Jarosik, N.8
Komatsu, E.9
Page, L.10
Peiris, H.11
Verde, L.12
Halpern, M.13
Hill, R.14
Kogut, A.15
Limon, M.16
Meyer, S.S.17
Odegards, N.18
Tucker, G.19
Weiland, J.20
Wollack, E.21
Wright, E.22
more..
-
71
-
-
84904425827
-
-
arXiv:1206.27902 A. Vandermonde (1774), Remarques sur les problèmes de situation. Mémoires de l'Académie Royale des Sciences pour 1771, Paris
-
K. Turner, Y. Mileyko, S. Mukherjee and J. Harer (2014), Fréchet means for distributions of persistence diagrams. arXiv:1206.27902 A. Vandermonde (1774), Remarques sur les problèmes de situation. In Mémoires de l'Académie Royale des Sciences pour 1771, Paris, pp. 556-574.
-
(2014)
Fréchet Means for Distributions of Persistence Diagrams
, pp. 556-574
-
-
Turner, K.1
Mileyko, Y.2
Mukherjee, S.3
Harer, J.4
-
72
-
-
81755188346
-
Alpha Betti and the Megaparsec Universe: On the topology of the cosmic web
-
M. L. Gavrilova et al., eds 6970 of Lecture Notes in Computer Science Springer
-
R. Van De Weygaert, G. Vegter, H. Edelsbrunner, B. Jones, P. Pranav, C. Park, W. Hellwing, B. Eldering, N. Kruithof, E. Bos, J. Hidding, J. Feldbrugge, E. ten Have, M. Van Engelen, M. Caroli and M. Teillaud (2011), Alpha, Betti, and the Megaparsec Universe: On the topology of the cosmic web. In Transactions on Computational Science XIV (M. L. Gavrilova et al., eds), Vol. 6970 of Lecture Notes in Computer Science, Springer, pp. 60-101.
-
(2011)
Transactions on Computational Science XIV
, pp. 60-101
-
-
Weygaert De R.Van1
Vegter, G.2
Edelsbrunner, H.3
Jones, B.4
Pranav, P.5
Park, C.6
Hellwing, W.7
Eldering, B.8
Kruithof, N.9
Bos, E.10
Hidding, J.11
Feldbrugge, J.12
Ten Have, E.13
Van Engelen, M.14
Caroli, M.15
Teillaud, M.16
-
74
-
-
77954929689
-
The tidy set: A minimal simplicial set for computing homology of clique complexes
-
ACM
-
A. Zomorodian (2010), The tidy set: A minimal simplicial set for computing homology of clique complexes. In Proc. 2010 Annual Symposium on Computational Geometry, ACM, pp. 257-266.
-
(2010)
Proc. 2010 Annual Symposium on Computational Geometry
, pp. 257-266
-
-
Zomorodian, A.1
|