@inproceedings{PLDF_FOCS_10,
author = {Mikhail Belkin and Kaushik sinha},
title = {Polynomial Learning of Distribution Families},
booktitle = {FOCS 2010: Proceedings of the 51st Annual
IEEE Symposium on Foundations of Computer Science
},
year = {2010},
pages = {103-112},
publisher = {IEEE Computer Society},
}
@article{CLEM_08,
author = {Mikhail Belkin and Partha Niyogi},
title = {Convergence of Laplacian Eigenmaps},
journal = {preprint, short version NIPS 2008},
year = {2008},
}
@incollection{CLOPC_SODA_09,
title = {Discrete Laplace Operator for Meshed Surfaces},
author = {Mikhail Belkin and Jian Sun and Yusu Wang},
booktitle = {ACM-SIAM Symposium on Discrete Algorithms (SODA)},
year = {2009},
pages = {1031-1040},
}
@incollection{DLMS_SOCG_08,
title = {Constructing Laplace Operator from Point Clouds in R^d },
author = {Mikhail Belkin and Jian Sun and Yusu Wang},
booktitle = {},
year = {2008},
}
@article{LSVM_JMLR_11,
title = {Laplacian Support Vector Machines Trained in the Primal},
author = {Melacci, Stefano and Belkin, Mikhail},
journal = {Journal of Machine Learning Research},
volume = {12},
year = {2011},
pages = {1149-1184},
}
@article{DS_AOS_09,
title = {Data spectroscopy: eigenspace of convolution operators and clustering},
author = {Tao Shi and Mikhail Belkin and Bin Yu},
journal = {The Annals of Statistics},
volume = {37, 6B},
year = {2009},
pages = {3960-3984},
}
@incollection{DSLMM_ICML_08,
title = {Data Spectroscopy: Learning Mixture Models using Eigenspaces of
Convolution Operators},
author = {Tao Shi and Mikhail Belkin and Bin Yu},
booktitle = {ICML},
year = {2008},
}
@article{MR_JMLR_06,
author = {Mikhail Belkin and Partha Niyogi and Vikas
Sindhwani},
title = {Manifold Regularization: A Geometric
Framework for Learning from Labeled and Unlabeled
Examples.},
journal = {Journal of Machine Learning Research},
volume = {7},
year = {2006},
pages = {2399-2434},
ee = {http://www.jmlr.org/papers/v7/belkin06a.html}
}
@article{LIO_JMLR_10,
author = {Lorenzo Rosasco and
Mikhail Belkin and
Ernesto De Vito},
title = {On Learning with Integral Operators},
journal = {Journal of Machine Learning Research},
volume = {11},
year = {2010},
pages = {905-934},
}
@article{SSL_ML_04,
author = {Mikhail Belkin and Partha Niyogi},
title = {Semi-Supervised Learning on Riemannian
Manifolds.},
journal = {Machine Learning},
volume = {56},
number = {1-3},
year = {2004},
pages = {209-239},
}
@incollection{SSL_SEB_NIPS_09,
title = {Semi-supervised Learning using Sparse Eigenfunction Bases },
author = {Kaushik Sinha and Mikhail Belkin},
booktitle = {Advances in Neural Information
Processing Systems 22},
year = {2010},
}
@article{LEM_NC_03,
author = {Mikhail Belkin and Partha Niyogi},
title = {Laplacian Eigenmaps for Dimensionality
Reduction and Data Representation},
journal = {Neural Comput.},
volume = {15},
number = {6},
year = {2003},
issn = {0899-7667},
pages = {1373--1396},
publisher = {MIT Press},
address = {Cambridge, MA, USA},
}
@incollection{LDS_NIPS_06,
title = {On the Relation Between Low Density
Separation, Spectral Clustering and Graph Cuts},
address = {Cambridge, MA},
author = {Hariharan Narayanan and Mikhail Belkin and
Partha Niyogi},
booktitle = {Advances in Neural Information
Processing Systems 19},
editor = {B. Sch\"{o}lkopf and J. Platt and T.
Hoffman},
publisher = {MIT Press},
url =
{http://books.nips.cc/papers/files/nips19/NIPS2006_0780.pdf},
year = {2007},
}
@incollection{VLUE_NIPS_07,
title = {The value of labeled and unlabeled examples when the model is imperfect},
address = {Cambridge, MA},
author = {Kaushik Sinha and Mikhail Belkin},
booktitle = {Advances in Neural Information
Processing Systems 20},
publisher = {MIT Press},
year = {2008},
}
@inproceedings{HF_FOCS_06,
author = {Mikhail Belkin and Hariharan Narayanan and
Partha Niyogi},
title = {Heat Flow and a Faster Algorithm to Compute
the Surface Area of a Convex Body},
booktitle = {FOCS '06: Proceedings of the 47th Annual
IEEE Symposium on Foundations of Computer Science
(FOCS'06)},
year = {2006},
isbn = {0-7695-2720-5},
pages = {47--56},
publisher = {IEEE Computer Society},
address = {Washington, DC, USA},
}
@incollection{MM_NIPS_05,
title = {Maximum Margin Semi-Supervised Learning for
Structured Variables},
author = {Yasemin Altun and David McAllester and
Mikhail Belkin},
booktitle = {Advances in Neural Information
Processing Systems 18},
editor = {Y. Weiss and B. Sch\"{o}lkopf and J.
Platt},
publisher = {MIT Press},
address = {Cambridge, MA},
pages = {33--40},
year = {2006}
}
@article{TT_JCSS_08,
author = {Mikhail Belkin and
Partha Niyogi},
title = {Towards a Theoretical Foundation for Laplacian-Based Manifold
Methods},
booktitle = {Journal of Computer and System Sciences},
year = {2008},
VOLUME = {74},
NUMBER = {8},
pages = {1289-1308},
}
@inproceedings{TT_COLT_05,
author = {Mikhail Belkin and
Partha Niyogi},
title = {Towards a Theoretical Foundation for Laplacian-Based Manifold
Methods},
booktitle = {COLT},
year = {2005},
pages = {486-500},
}
@article {SC_AOS_08,
AUTHOR = {Ulrike von Luxburg and Mikhail Belkin and Olivier Bousquet},
TITLE = {Consistency of spectral clustering},
JOURNAL = {Ann. Statist.},
FJOURNAL = {Annals of Statistics},
YEAR = {2008},
VOLUME = {36},
NUMBER = {2},
PAGES = {555-586},
ISSN = {0090-5364},
DOI = {10.1214/009053607000000640},
ARXIV = {0804.0678},
SICI = {0090-5364(2008)36:2<555:COSC>2.0.CO;2-N},
}
@inproceedings{BPC_ICML_05,
author = {Vikas Sindhwani and Partha Niyogi and Mikhail Belkin},
title = {Beyond the point cloud: from transductive to
semi-supervised learning},
booktitle = {ICML '05: Proceedings of the 22nd international conference on
Machine learning},
year = {2005},
pages = {824--831},
location =
{Bonn, Germany},
publisher = {ACM Press},
address = {New York, NY, USA}
}
@proceedings{RSS_COLT_04,
author = {Mikhail Belkin and Irina Matveeva and Partha Niyogi},
title = {Regularization and Semi-supervised Learning on Large Graphs},
booktitle = {COLT},
year = {2004},
pages = {624-638},
editor = {John Shawe-Taylor and Yoram Singer},
publisher = {Springer},
series = {Lecture Notes in Computer Science},
volume = {3120},
}
@phdthesis{PLM_UCTHESIS_03,
title={{Problems of Learning on Manifolds}},
author={Belkin, M.},
year={2003},
school={The University of Chicago}
}