Published Papers
E.W. Chambers, V. de Silva, J. Erickson, R. Ghrist,
“Vietoris–Rips complexes of planar point sets.”
Discrete and Computational Geometry (to appear).
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G. Carlsson, V. de Silva, D. Morozov,
“Zigzag persistent homology and real-valued functions.”
Proc. 25th Annual Symposium on Computational Geometry (SoCG),
June 2009, pp.247–256.
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V. de Silva, M. Vejdemo-Johansson,
“Persistent cohomology and circular coordinates.”
Proc. 25th Annual Symposium on Computational Geometry (SoCG),
June 2009, pp.227–236.
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V. de Silva, L.-H. Lim,
“Tensor rank and the ill-posedness of the best low-rank
approximation problem,”
SIAM Journal on Matrix Analysis and Applications:
Special Issue on Tensor Decompositions and Applications,
30(3), 2008,
pp.1084–1127.
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V. de Silva,
“A weak characterisation of the Delaunay triangulation,”
Geometriae Dedicata,
135(1), August 2008, pp.39–64.
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The original article is available at www.springerlink.com:
Article Home
G. Carlsson, T. Ishkhanov, V. de Silva, A. Zomorodian
“On the local behavior of spaces of natural images,”
International Journal of Computer Vision ,
76(1), January 2008, pp.1–12.
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The original article is available at www.springerlink.com:
Article Home
V. de Silva, R. Ghrist,
“Coverage in sensor networks via persistent homology,”
Algebraic & Geometric Topology,
7, 2007, pp.339–358.
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V. de Silva, R. Ghrist,
“Homological sensor networks,”
Notices of the American Mathematical Society,
54(1), January 2007, pp.10–17.
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V. de Silva, R. Ghrist,
“Coordinate-free coverage in sensor networks with controlled boundaries via homology,”
International Journal of Robotics Research,
25(12), December 2006, pp.1205–1222.
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E. Carlsson, G. Carlsson, V. de Silva,
“An algebraic topological method for feature identification,”
International Journal of Computational Geometry & Applications,
16(4), August 2006, pp.291–314.
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V. de Silva, R. Ghrist, A. Muhammad,
“Blind swarms for coverage in 2-d,”
Proc. Robotics: Science & Systems I,
MIT, Cambridge, MA, June 8–10, 2005.
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Conference
Q. Fang, J. Gao, L. Guibas, V. de Silva, L. Zhang, “GLIDER:
Gradient Landmark-Based Distributed Routing for Sensor Networks,”
24th Annual Conference of the IEEE Communication Society (INFOCOM),
Miami, FL, March 13–17, 2005.
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PS
V. de Silva, G. Carlsson,
“Topological estimation using witness complexes,” Symposium
on Point-Based Graphics, ETH, Zürich, Switzerland, June 2–4,
2004. PDF
G. Carlsson, V. de Silva, “A geometric framework for
sparse matrix problems,” Advances in Applied Mathematics,
33(1), July 2004, pp.1–25.
PS
V. de Silva, J.B. Tenenbaum, “Global versus local methods for
nonlinear dimensionality reduction,” pp. 721–728 in S. Becker,
S. Thrun,, K. Obermayer (Eds.), Advances in Neural Information
Processing Systems, 15, MIT Press, Cambridge, MA, 2003.
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V. de Silva, J.B. Tenenbaum, “Unsupervised learning of curved
manifolds,” pp. 453–466 in D.D. Denison, M.H. Hansen,
C.C. Holmes, B. Mallick, B. Yu (Eds.), Nonlinear Estimation and
Classification, Lecture Notes in Statistics, 171,
Springer-Verlag, New York, NY, 2003. (ISBN: 0-387-95471-6)
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M. Balasubramanian, E.L. Schwartz, J.B. Tenenbaum, V. de Silva,
J.C. Langford, “The Isomap algorithm and topological
stability,” Science 295: 4 January 2002.
PS
J.B. Tenenbaum, V. de Silva, J. Langford, “A global
geometric framework for nonlinear dimensionality reduction,”
Science 290: 22 December 2000, pp. 2319–2323.
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Website
M. Bernstein, V. de Silva, J.C. Langford, J.B. Tenenbaum,
“Graph approximations to geodesics on embedded manifolds,”
technical report.
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Talks
Workshop on Geometric and Topological Approaches to Data Analysis.
University of Chicago & Toyota Technological Institute. October 8–12, 2007.
“Witness (Bi-)complexes in Topological Reconstruction” (invited talk).
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Workshop
Workshop on Mathematics of Visual Analysis.
MSRI. Berkeley, California. October 16–17, 2006.
“Topological Measurements” (invited panel presentation).
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Workshop
Workshop on Application of Topology in Science and Engineering.
MSRI. Berkeley, California. September 18–22, 2006.
“Persistent cohomology” (invited talk).
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Workshop
MMDS 2006: Workshop on Algorithms for Modern Massive Data Sets.
Stanford University & Yahoo! Research.
Stanford, California. June 21–24, 2006.
“Point-cloud topology via harmonic forms” (invited talk).
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Conference
DARPA Topological Data Analysis, Annual Meeting.
Santa Barbara, California. May 8–10, 2006.
“Witnesses and local cohomology” (invited talk).
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Claremont Colleges Mathematics Colloquium.
Pitzer College, Claremont, California. April 12, 2006.
“Point-clouds, weak witnesses and blind robots (or
what happens when a computer learns topology)
”
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MGA Workshop III: Multiscale Structures in the Analysis of
High-Dimensional Data.
Institute for Pure and Applied Mathematics, UCLA, Los Angeles, California.
October 25–29, 2004.
“Multiscale parameters in computational topology” (invited talk).
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Conference
Algebraic Topological Methods in Computer Science 2.
University of Western Ontario, London, Ontario.
July 16–20, 2004.
“Harmonic methods in computational topology” (invited talk).
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Conference
Symposium on Point-Based Graphics. ETH, Zürich, Switzerland.
June 2–4, 2004.
“Topological estimation using witness complexes” (submitted talk).
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Conference
Neural Information Processing Systems 2002, Vancouver, British Columbia.
Workshop on Spectral Methods in Dimensionality Reduction, Clustering, and
Classification. December 13, 2002.
“Nonlinear dimensionality reduction” (invited talk).
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Workshop
Conference
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