

@Article{Andersen,
  author = 	 {Andersen, K. D.},
  title = 	 {A modifies Schur complement method for handling dense columns in interior point methods for linear programming},
  journal = 	 {ACM Transactions on Mathematical Software},
  year = 	 {1996},
  volume = 	 {22},
  number = 	 {3},
  pages = 	 {348-356}
}


@Article{Bennet,
  author = 	 {Bennet, J. M.},
  title = 	 {Triangular factors of modified matrices},
  journal = 	 {Numerisches Mathematik},
  year = 	 {1965},
  volume = 	 {7},
  pages = 	 {217-221}
}

@TechReport{BRT,
  author = 	 {Berkelaar, A. B. and Jansen, B. and Roos, K. and Terlaky, T.},
  title = 	 {Sensitivity analysis in (degenerate) quadratic programming},
  institution =  {Delft University of Technology},
  year = 	 {1996},
  number = 	 {96-26},
  note = 	 {submitted to {\em Management Science}}
}

@InProceedings{BGV92,
  author = 	 {Boser, B. and Guyon, I. and Vapnik, V. N.},
  title = 	 {A Training algorithm for optimal margin classifiers},
  booktitle = 	 {Proceedings of the 5th Annual ACM Workshop on Computational Learning Theory},
  pages = 	 {144-152},
  year = 	 {1992},
  editor = 	 {Haussler, D.},
  publisher = {ACM Press}
}



@misc{BM98,
  author = {Blake, C. L. and Merz, C. J},
  title = {{UCI} Repository of machine learning databases},
  year = {1998},
  url = {http://www.ics.uci.edu/$\sim$mlearn/MLRepository.html},
  institution = {University of California, Irvine, Dept. of
                  Information and Computer Sciences}
} 

  

@InProceedings{ChaudhariICASSP01,
  author = 	 {Chaudhari, U. and Navr\'atil, J. and Maes, S. and Ramaswamy, R.},
  title = 	 {Very large population
  text-independent speaker identification},
  booktitle = 	 {Proc. of the International Conference on Acoustics, Speech, and Signal Processing (ICASSP)},
  year = 	 {2001}
}

@Article{ChoiMonmaShanno,
  author = 	 {Choi, I. C. and Monma, C. L. and Shanno, D. F.},
  title = 	 {Further development of primal-dual interior point methods},
  journal = 	 {ORSA J. on Computing},
  year = 	 {1990},
  volume = 	 {2},
  number = 	 {4},
  pages = 	 {304-311}
}

@Article{DB95,
  author = 	 {Dietterich, T. G. and Bakiri, G.},
  title = 	 {Solving multiclass learning problems via error-correcting output codes},
  journal = 	 {Journal of Artificial Intelligence Research},
  year = 	 {1995},
  volume = 	 {2},
  pages = 	 {263-286}
}
@TechReport{FM, 
author={ Ferris, M.C.  and  Munson, T. S.},
title={ Interior point methods for massive support vector machines},
institution={ Computer Sciences Department, University
      of Wisconsin},
 year={ 2000},
OPType={Data Mining Institute Technical Report 00-05},
address={Madison, Wisconsin}
}


@InProceedings{FCC98,
  author = 	 {Friess, T. T. and Cristianini, N. and Campbell, C.},
  title = 	 {The Kernel-Adaraton algorithm: A fast simple learning procedure for support vector machines},
  booktitle = 	 {Proceedings of the 15th International Conference on Machine Learning},
  pages = 	 {188-196},
  year = 	 {1998},
  publisher = {Morgan Kaufman}
}


@InProceedings{FNG01a,
  author = 	 {Fine, S. and Navr\'atil, J. and Gopinath, R. A.},
  title = 	 {A Hubrid GMM/SVM Approach to Speaker Identification},
  booktitle =    {Proc. of the International Conference on Acoustics,
                  Speech, and Signal Processing (ICASSP)},
  year = 	 {2001},
}


@InProceedings{FNG01b,
  author = 	 {Fine, S. and Navr\'atil, J. and Gopinath, R. A.},
  title = 	 {Enhancing GMM Scores usng SVM "Hints"},
  booktitle = 	 {Proc. of the 7th European Conference on Acoustics, Speech, and Signal Processing (EuroSpeech)},
  year = 	 {2001}
}


@Unpublished{Poker,
author = {Fine, S. and Scheinberg, K.},
title = {POKER: Parametric Optimization Framework for Kernel Methods},
note = {Submitted},
institution={ IBM T.J. Watson Research Center},
address={Yorktown Heights, NY},
year = {2001}
}

@Unpublished{FS2,
author = {Fine, S. and Scheinberg, K.},
title = {Efficient Application of Interior Point Methods for 
 Quadratic Problems arising in Support Vector Machines  
Using Low-Rank Kernel Representation},
note = {Submitted to {\sl Mathematical Programming}},
institution={ IBM T.J. Watson Research Center},
address={Yorktown Heights, NY},
year = {2001}
}


@Article{FP,
  author = 	 {Fletcher, R. and Powell, M. J. D.},
  title = 	 {On the Modification of $LDL\t$ factorization},
  journal = 	 {Mathematics of Computation},
  year = 	 {1974},
  volume = 	 {28},
  number = 	 {128},
  pages = 	 {1067-1087}
}




@Article{GMS,
  author = 	 {Gill, Ph. E. and Murray, W. and Saunders, M. A.},
  title = 	 {Methods for computing and modifying the LDV factors of a matrix},
  journal = 	 {Mathematics of Computation},
  year = 	 {1975},
  volume = 	 {29},
  pages = 	 {1051-10}
}




@Book{GolubVanLoan,
  author = 	 {Golub, G. H. and Van Loan, Ch. F.},
  title = 	 {Matrix Computations},
  publisher = 	 {The Johns Hopkins University Press},
  year = 	 {1996},
  address = 	 {Baltimore and London},
  edition = 	 {3}
}



@Unpublished{GS1,
  author = 	 {Goldfarb, D. and Scheinberg, K.},
  title = 	 {A product-form Cholesky factorization method for handling dense columns in interior point methods for linear programming},
  note = 	 {Submitted},
  year = 	 {1999}
}

@Unpublished{GS2,
  author = 	 {Goldfarb, D. and Scheinberg, K.},
  title = 	 {A product-form Cholesky factorization implementation 
of an interior point method for second order cone programming},
  note = 	 {manuscript},
  year = 	 {1999}
}

@InProceedings{HT98,
  author = 	 {Hastie, T. and Tibshirani, R.},
  title = 	 {Classification by pairwise coupling},
  booktitle = 	 {Advances in Neural Information Processing Systems},
  year = 	 {1998},
  editor = 	 {Kearns, M. S. and Solla, S. A. and Cohn, D. A.},
  volume = 	 {10},
  publisher = {MIT Press}
}



@InProceedings{JH99,
  author = 	 {Jaakkola, T. S. and Haussler, D. },
  title = 	 {Exploiting generative models in discriminative classifiers},
  booktitle = 	 {Advances in Neural Information Processing Systems},
  year = 	 {1999},
  editor = 	 {Kearns, M. S. and Solla, S. A. and Cohn, D. A.},
  volume = 	 {11},
  publisher = {MIT Press}
}



@InCollection{Joachims99,
  author = 	 {Joachims, T.},
  title = 	 {Making large-scale support vector machine learning practical},
  booktitle = 	 {Advances in Kernel Methods},
  pages = 	 {169-184},
  publisher = {MIT Press},
  year = 	 {1999},
  editor = 	 {Sch\"{o}lkopf, B. and Burges, C. C. and Smola, A. J.},
  chapter = 	 {12}
}

@article{KSBM00,
    author = {Keerthi, S. S. and Shevade, S. K.  and Bhattacharyya, C.  and Murthy, K. R. K. },
    title = {A Fast Iterative Nearest Point Algorithm for Support Vector Machine Classifier Design},
    journal = {IEEE Trnasactions on Neural Networks},
    volume = {11},
    number = {1},
    pages = {124--136},
    year = {2000}
}


@TechReport{Marxen,
  author = 	 {Marxen, A.},
  title = 	 {Primal barrier methods for linear programming},
  institution =  {Dept. of Operations Research, Stanford University},
  year = 	 {1989},
  OPTtype = 	 {Report SOL 89-6},
  address = 	 {Stanford, CA}
}




@Article{Mehrotra,
  author = 	 {Mehrotra, S.},
  title = 	 {On implementation of a primal-dual interior point method},
  journal = 	 {SIAM J. on Optimization},
  year = 	 {1992},
  volume = 	 {2},
  number = 	 {4},
  pages = 	 {575-601}
}

@Unpublished{Nist,
author = {NIST},
title  = {Speaker Recognition Evaluation},
note={http://www.nist.gov/speech/tests/spk/2000}
}
@InProceedings{OFG97,
  author = 	 {Osuna, E. and Freund, R. and Girosi, F.},
  title = 	 {An improved training algorithm for support vector machines},
  booktitle = 	 {Proceedings of the IEEE Neural Networks for signal Processing VII Workshop},
  pages = 	 {276-285},
  year = 	 {1997},
  organization = {IEEE}
}

@InCollection{OSS00,
  author = 	 {Oliver, N. and Sch\"{o}lkopf, B. and Smola, A. J.},
  title = 	 {Natural Regularization from Generative Models},
  booktitle = 	 {Advances in Large Margin Classifiers},
  pages = 	 {51-60},
  publisher = {MIT Press},
  year = 	 {2000},
  editor = 	 {Smola, A. J. and Sch\"{o}lkopf, B. and Bartlett, P. L. and Schuurmans, D.},
  chapter = 	 {4}
}



@InCollection{Platt99,
  author = 	 {Platt, J. C.},
  title = 	 {Fast Trining Support Vector Machines Using Sequential Mininal Optimization},
  booktitle = 	 {Advances in Kernel Methods},
  pages = 	 {185-208},
  publisher = {MIT Press},
  year = 	 {1999},
  editor = 	 {Sch\"{o}lkopf, B. and Burges, C. C. and Smola, A. J.},
  chapter = 	 {12}
}


@InCollection{Platt00,
  author = 	 {Platt, J. C.},
  title = 	 {Probabilities for SV Machines},
  booktitle = 	 {Advances in Large Margin Classifiers},
  pages = 	 {61-74},
  publisher = {MIT Press},
  year = 	 {2000},
  editor = 	 {Smola, A. J. and Sch\"{o}lkopf, B. and Bartlett, P. L. and Schuurmans, D.},
  chapter = 	 {5}
}



@Book{Rock,
  author = 	 {Rockafellar, R. T.},
  title = 	 {Conjugate Duality and Optimization},
  publisher = 	 {SIAM},
  year = 	 {1974},
  address = 	 {Philadelphia}
}


@InProceedings{ReynoldsICSLP00,
  author = 	 {Reynolds, D. A. and Dunn, R. B. and McLaughlin, J. J.},
  title = 	 {The lincoln speaker recognition system: Nist eval2000},
  booktitle = 	 {Proc. of the International Conference on Spoken Language Processing (ICSLP)},
  year = 	 {2000},
}


@InProceedings{ReynoldsLLHDB97,
  author = 	 {Reynolds, D. A.},
  title = 	 {Htimit and llhdb: Speech corpora for the study of handset transducer effects},
  booktitle = 	 {Proc. of the International Conference on Acoustics, Speech,
  and Signal Processing (ICASSP)},
  pages = 	 {1535--1538},
  year = 	 {1997},
  address = 	 {Munich, Germany}
}

@Unpublished{Sedumi,
 author = 	{Sturm, J. F.},
title={ Sedumi1.03 Matlab tool, http://fewcal.kub.nl/sturm/software/sedumi.html},
note={ Personal communication}
}

@InProceedings{SS00,
  author = 	 {Smola, A. J. and  Sch\"{o}lkopf, B.},
  title = 	 {Sparse Greedy Matrix Approximation for Machine Learning},
  booktitle = 	 {Proceedings of the 17th International Conference on Machine Learning},
  pages = 	 {911-918},
  year = 	 {2000},
  address = 	 {Stanford University, CA},
  publisher =    {Morgan Kaufmann Publishers}
}

@Unpublished{SW,
  author = 	 {Scheinberg, K. and Wright, S.},
  title = 	 {A note on modified Cholesky and Schur complement in interior point methods for linear programming},
  note = 	 {Manuscript},
  year = 	 {2000}
}

@Book{Vap82,
  author = 	 {Vapnik, V. N.},
  title = 	 {Estimation of Dependences Based on Empirical Data},
  publisher = 	 {Springer-Verlag},
  year = 	 {1982}
}


@Book{vap95,
  author = 	 {Vapnik, V. N.},
  title = 	 {The Nature of Statistical Learning Theory},
  publisher = 	 {Springer-Verlag},
  year = 	 {1995},
}


@Book{book,
  editor = 	 {Wolkowicz, H. and Saigal,  R. and Vandenberghe,  L.},
  title = 	 {Handbook of Semidefinite Programming},
  publisher = 	 {Kluwer},
  year = 	 {2000},
  address = 	 {The Netherlands}
}

@Book{Wright,
  author = 	 {Wright, S.},
  title = 	 {Primal-Dual Interior Point Methods},
  publisher = 	 {SIAM},
  year = 	 {1997},
  address = 	 {Philadelphia}
}

@TechReport{Wright2,
  author = 	 {Wright, S.},
  title = 	 {Modified Cholesky factorizations in interior point algorithms
for linear programming},
  institution = {Argonne National Laboratory},
  year = 	 {1996},
  type = 	 {Preprint ANL/MCS-P600-0596},
  address = 	 { Argonne, IL}
}

@InProceedings{WS00,
  author =       {Williams, C. and Seeger, M.},
  title =        {The Effect of the Input Density Distribution on
Kernel-based Classifiers},
  booktitle =    {Proceedings of the 17th International Conference on
Machine Learning},
  pages =        {1159--1166},
  year =         {2000},
  address =      {Stanford University, CA},
  publisher =    {Morgan Kaufmann Publishers}
}



@InProceedings{WS01,
  author =       {Williams, C. and Seeger, M.},
  title =        {Using the Nystr{\"o}m Method to Speed Up Kernel
Machines},
  booktitle = {Advances in Neural Information Processing Systems 13},
  pages     = {682--688},
  year      = {2001},
  editor    = {Leen, Todd K. and Dietterich, Thomas G. and Tresp, Volker},
  publisher = {MIT Press}
}




@TechReport{WSS98,
  author = 	 {Williamson, R. C. and Smola, A. J. and  Sch\"{o}lkopf, B.},
  title = 	 {Generalization performance of regularization networks and support vector machines 
                 via entropy numbers of compact operators},
  institution =  {Royal Holloway College, University of London},
  year = 	 {1998},
  type = 	 {NeuroCOLT},
  number  = 	 {NC-TR-98-019},
  address = 	 {UK}
}

