-
4
-
-
0042378381
-
Laplacian eigenmaps for dimensionality reduction and data representation
-
DOI 10.1162/089976603321780317
-
M. Belkin and P. Niyogi. Laplacian eigenmaps for dimensionality reduction and data representation. Neural Computation, 15:1373-1396, 2003. (Pubitemid 37049796)
-
(2003)
Neural Computation
, vol.15
, Issue.6
, pp. 1373-1396
-
-
Belkin, M.1
Niyogi, P.2
-
5
-
-
46749111114
-
Inferring local homology from sampled stratified spaces
-
P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer, and D. Morozov. Inferring local homology from sampled stratified spaces. Proceedings 48th Annual IEEE Symposium on Foundations of Computer Science, pages 536-546, 2007.
-
(2007)
Proceedings 48th Annual IEEE Symposium on Foundations of Computer Science
, pp. 536-546
-
-
Bendich, P.1
Cohen-Steiner, D.2
Edelsbrunner, H.3
Harer, J.4
Morozov, D.5
-
9
-
-
80855137683
-
Tracking a generator by persistence
-
O. Busaryev, T. K. Dey, and Y. Wang. Tracking a generator by persistence. Discrete Mathematics, Algorithms and Applications, 2(4):539-552, 2010.
-
(2010)
Discrete Mathematics Algorithms and Applications
, vol.2
, Issue.4
, pp. 539-552
-
-
Busaryev, O.1
Dey, T.K.2
Wang, Y.3
-
10
-
-
77954514940
-
Persistence barcodes for shapes
-
G. Carlsson, A. J. Zomorodian, A. Collins, and L. J. Guibas. Persistence barcodes for shapes. Proceedings Eurographs/ACM SIGGRAPH Symposium on Geometry Processing, pages 124-135, 2004.
-
(2004)
Proceedings Eurographs/ACM SIGGRAPH Symposium on Geometry Processing
, pp. 124-135
-
-
Carlsson, G.1
Zomorodian, A.J.2
Collins, A.3
Guibas, L.J.4
-
11
-
-
70849097151
-
Proximity of persistence modules and their diagrams
-
F. Chazal, D. Cohen-Steiner, M. Glisse, L. J. Guibas, and S. Y. Oudot. Proximity of persistence modules and their diagrams. Proceedings 25th Annual Symposium on Computational Geometry, pages 237-246, 2009.
-
(2009)
Proceedings 25th Annual Symposium on Computational Geometry
, pp. 237-246
-
-
Chazal, F.1
Cohen-Steiner, D.2
Glisse, M.3
Guibas, L.J.4
Oudot, S.Y.5
-
18
-
-
77954735165
-
Optimal homologous cycles, total unimodularity, and linear programming
-
T. K. Dey, A. N. Hirani, and B. Krishnamoorthy. Optimal homologous cycles, total unimodularity, and linear programming. Proceedings 42nd ACM Symposium on Theory of Computing, pages 221-230, 2010.
-
(2010)
Proceedings 42nd ACM Symposium on Theory of Computing
, pp. 221-230
-
-
Dey, T.K.1
Hirani, A.N.2
Krishnamoorthy, B.3
-
19
-
-
57649092681
-
Computing geometryaware handle and tunnel loops in 3D models
-
T. K. Dey, K. Li, J. Sun, and D. Cohen-Steiner. Computing geometryaware handle and tunnel loops in 3D models. SIGGRAPH, 45:1-9, 2008.
-
(2008)
SIGGRAPH
, vol.45
, pp. 1-9
-
-
Dey, T.K.1
Li, K.2
Sun, J.3
Cohen-Steiner, D.4
-
25
-
-
0036883297
-
Topological persistence and simplification
-
DOI 10.1007/s00454-002-2885-2
-
H. Edelsbrunner, D. Letscher, and A. J. Zomorodian. Topological persistence and simplification. Discrete and Computational Geometry, 28:511-533, 2002. (Pubitemid 36161396)
-
(2002)
Discrete and Computational Geometry
, vol.28
, Issue.4
, pp. 511-533
-
-
Edelsbrunner, H.1
Letscher, D.2
Zomorodian, A.3
-
26
-
-
21244470393
-
Optimal system of loops on an orientable surface
-
Éric Colin de Verdìere and F. Lazarus. Optimal system of loops on an orientable surface. Discrete Computational Geometry, 33:627-636, 2005.
-
(2005)
Discrete Computational Geometry
, vol.33
, pp. 627-636
-
-
De, É.C.V.1
Lazarus, F.2
-
27
-
-
70350672583
-
Homology flows, cohomology cuts
-
J. Erickson, E. W. Chambers, and A. Nayyeri. Homology flows, cohomology cuts. Proceedings 41st Annual ACM Symposium on Theory of Computing, pages 273-282, 2009.
-
(2009)
Proceedings 41st Annual ACM Symposium on Theory of Computing
, pp. 273-282
-
-
Erickson, J.1
Chambers, E.W.2
Nayyeri, A.3
-
31
-
-
84963085136
-
A new statistical approach to geographic variation analysis
-
R. K. Gabriel and R. R. Sokal. A new statistical approach to geographic variation analysis. Systematic Zoology, 18(3):259-278, 1969.
-
(1969)
Systematic Zoology
, vol.18
, Issue.3
, pp. 259-278
-
-
Gabriel, R.K.1
Sokal, R.R.2
-
32
-
-
78149256305
-
Visual exploration of high dimensional scalar functions
-
S. Gerber, P.-T. Bremer, V. Pascucci, and R.Whitaker. Visual exploration of high dimensional scalar functions. IEEE Transactions on Visualization and Computer Graphics, 16(6):1271-1280, 2010.
-
(2010)
IEEE Transactions on Visualization and Computer Graphics
, vol.16
, Issue.6
, pp. 1271-1280
-
-
Gerber, S.1
Bremer, P.-T.2
Pascucci, V.3
Whitaker, R.4
-
37
-
-
21744433228
-
Nonlinear dimensionality reduction of data manifolds with essential loops
-
DOI 10.1016/j.neucom.2004.11.042, PII S0925231205001104
-
J. A. Lee and M. Verleysen. Nonlinear dimensionality reduction of data manifolds with essential loops. Neurocomputing, 67:29-53, 2005. (Pubitemid 40945714)
-
(2005)
Neurocomputing
, vol.67
, Issue.SUPPL. 1-4
, pp. 29-53
-
-
Lee, J.A.1
Verleysen, M.2
-
40
-
-
77951692474
-
Visual analysis of high dimentional point clouds using topological landscapes
-
P. Oesterling, C. Heine, H. J̈anicke, and G. Scheuermann. Visual analysis of high dimentional point clouds using topological landscapes. IEEE Pacific Visualization Symposium, pages 113-120, 2010.
-
(2010)
IEEE Pacific Visualization Symposium
, pp. 113-120
-
-
Oesterling, P.1
Heine, C.2
J̈anicke, H.3
Scheuermann, G.4
-
41
-
-
78650961111
-
Two-stage framework for a topology-based projection and visualization of classified document collections
-
P. Oesterling, G. Scheuermann, S. Teresniak, G. Heyer, S. Koch, T. Ertl, and G. H. Weber. Two-stage framework for a topology-based projection and visualization of classified document collections. Proceedings IEEE Visual Analytics Science and Technology, pages 91-98, 2010.
-
(2010)
Proceedings IEEE Visual Analytics Science and Technology
, pp. 91-98
-
-
Oesterling, P.1
Scheuermann, G.2
Teresniak, S.3
Heyer, G.4
Koch, S.5
Ertl, T.6
Weber, G.H.7
-
43
-
-
0034704222
-
Nonlinear dimensionality reduction by locally linear embedding
-
DOI 10.1126/science.290.5500.2323
-
S. T. Roweis and L. K. Saul. Nonlinear dimensionality reduction by locally linear embedding. Science, 290:2323-2326, 2000. (Pubitemid 32041578)
-
(2000)
Science
, vol.290
, Issue.5500
, pp. 2323-2326
-
-
Roweis, S.T.1
Saul, L.K.2
-
44
-
-
0347243182
-
Nonlinear Component Analysis as a Kernel Eigenvalue Problem
-
B. Scḧolkopf, A. Smola, and K.-R.M̈uller. Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10(5):1299-1319, 1998. (Pubitemid 128463674)
-
(1998)
Neural Computation
, vol.10
, Issue.5
, pp. 1299-1319
-
-
Scholkopf, B.1
Smola, A.2
Muller, K.-R.3
-
45
-
-
77957850951
-
Applying manifold learning to plotting approximate contour trees
-
S. Takahashi, I. Fujishiro, and M. Okada. Applying manifold learning to plotting approximate contour trees. IEEE Transactions on Visualization and Computer Graphics, 15(6):1185-1192, 2009.
-
(2009)
IEEE Transactions on Visualization and Computer Graphics
, vol.15
, Issue.6
, pp. 1185-1192
-
-
Takahashi, S.1
Fujishiro, I.2
Okada, M.3
-
46
-
-
0034704229
-
A global geometric framework for nonlinear dimensionality reduction
-
DOI 10.1126/science.290.5500.2319
-
J. B. Tenenbaum, V. de Silva, and J. C. Langford. A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500):2319-2323, 2000. (Pubitemid 32041577)
-
(2000)
Science
, vol.290
, Issue.5500
, pp. 2319-2323
-
-
Tenenbaum, J.B.1
De Silva, V.2
Langford, J.C.3
-
48
-
-
35948946511
-
Topological landscapes: A terrain metaphor for scientific data
-
DOI 10.1109/TVCG.2007.70601
-
G. Weber, P.-T. Bremer, and V. Pascucci. Topological landscapes: A terrain metaphor for scientific data. IEEE Transactions on Visualization and Computer Graphics, 13(6):1416-1423, 2007. (Pubitemid 350076616)
-
(2007)
IEEE Transactions on Visualization and Computer Graphics
, vol.13
, Issue.6
, pp. 1416-1423
-
-
Weber, G.H.1
Bremer, P.-T.2
Pascucci, V.3
-
49
-
-
77955270465
-
Fast construction of the Vietoris-Rips complex
-
A. J. Zomorodian. Fast construction of the Vietoris-Rips complex. Computers & Graphics, 34(3):263-271, 2010.
-
(2010)
Computers & Graphics
, vol.34
, Issue.3
, pp. 263-271
-
-
Zomorodian, A.J.1
-
50
-
-
12944263639
-
Computing persistent homology
-
DOI 10.1007/s00454-004-1146-y
-
A. J. Zomorodian and G. Carlsson. Computing persistent homology. Discrete and Computational Geometry, 33(2):249-274, 2005. (Pubitemid 40176437)
-
(2005)
Discrete and Computational Geometry
, vol.33
, Issue.2
, pp. 249-274
-
-
Zomorodian, A.1
Carlsson, G.2
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