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Volumn 11, Issue , 2010, Pages 1353-1390

Learning translation invariant kernels for classification

Author keywords

Capacity control; Classification; Kernel learning; Semi infinite programming; Support vector machines; Translation invariant kernels

Indexed keywords

BENCHMARK DATA; BINARY CLASSIFICATION; CAPACITY CONTROL; CLASS-BASED; CONSTRAINED QUADRATIC PROGRAMMING; COSINE FUNCTIONS; DATA SETS; DIGIT RECOGNITION; FEATURE SPACE; FINITE MIXTURES; FUNCTIONAL FORMULATION; GAUSSIAN KERNELS; KERNEL FUNCTION; KERNEL LEARNING; KERNEL MATRICES; KERNEL METHODS; KERNEL TRICK; LARGE-SCALE PROBLEM; LEARNING CAPACITY; LEARNING PROCESS; OPTIMAL CLASSIFIERS; REAL-WORLD; RUNTIMES; SEMI INFINITE PROGRAMMING; SUB-PROBLEMS; SUPPORT VECTOR; TRANSLATION INVARIANTS;

EID: 77951970597     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (47)
  • 1
    • 0032786569 scopus 로고    scopus 로고
    • Improving support vector machine classifiers by modifying kernel functions
    • S. Amari and S. Wu. Improving support vector machine classifiers by modifying kernel functions. Neural Networks, 12 (6): 783-789, 1999.
    • (1999) Neural Networks , vol.12 , Issue.6 , pp. 783-789
    • Amari, S.1    Wu, S.2
  • 2
    • 0001614864 scopus 로고    scopus 로고
    • The MOSEK interior point optimizer for linear programming: An implementation of the homogeneous algorithm
    • In T. Terlaky H. Frenk, K. Roos and S. Zhang, editors, Kluwer Academic Publishers
    • E.D. Andersen and K.D. Andersen. The MOSEK interior point optimizer for linear programming: an implementation of the homogeneous algorithm. In T. Terlaky H. Frenk, K. Roos and S. Zhang, editors, High Performance Optimization, pages 197-232. Kluwer Academic Publishers, 2000.
    • (2000) High Performance Optimization , pp. 197-232
    • Andersen, E.D.1    Andersen, K.D.2
  • 6
    • 0001303543 scopus 로고
    • Monotone functions, Stieltjessche integrale und harmonische analyse
    • S. Bochner. Monotone functions, Stieltjessche integrale und harmonische analyse. Mathematische Annalen, 108: 378-410, 1933.
    • (1933) Mathematische Annalen , vol.108 , pp. 378-410
    • Bochner, S.1
  • 9
    • 0036161011 scopus 로고    scopus 로고
    • Choosing multiple parameters for support vector machines
    • O. Chapelle, V. Vapnik, O. Bousquet, and S. Mukherjee. Choosing multiple parameters for support vector machines. Machine Learning, 46 (1-3): 131-159, 2002.
    • (2002) Machine Learning , vol.46 , Issue.1-3 , pp. 131-159
    • Chapelle, O.1    Vapnik, V.2    Bousquet, O.3    Mukherjee, S.4
  • 10
    • 84898984811 scopus 로고    scopus 로고
    • A geometric interpretation of v-svm classifiers
    • Cambridge, MA.; MIT Press.
    • D.J. Crisp and C.J.C. Burges. A geometric interpretation of v-svm classifiers. In Advances in Neural Information Processing Systems, volume 12, pages 244-250, Cambridge, MA.; 1999. MIT Press.
    • (1999) Advances in Neural Information Processing Systems , vol.12 , pp. 244-250
    • Crisp, D.J.1    Burges, C.J.C.2
  • 14
    • 0001307390 scopus 로고
    • The theory of max-min, with applications
    • J. M. Danskin. The theory of max-min, with applications. SIAM Journal on Applied Mathematics, 14 (4): 641-664, 1966.
    • (1966) SIAM Journal on Applied Mathematics , vol.14 , Issue.4 , pp. 641-664
    • Danskin, J.M.1
  • 16
    • 0038259114 scopus 로고    scopus 로고
    • Classes of kernels for machine learning: A statistics perspective
    • M.G. Genton. Classes of kernels for machine learning: A statistics perspective. Journal of Machine Learning Research, 2: 299-312, 2001.
    • (2001) Journal of Machine Learning Research , vol.2 , pp. 299-312
    • Genton, M.G.1
  • 18
    • 23944487822 scopus 로고    scopus 로고
    • Gradient-based adaptation of general Gaussian kernels
    • T. Glasmachers and C. Igel. Gradient-based adaptation of general Gaussian kernels. Neural Computation, 17: 2099-2105, 2005.
    • (2005) Neural Computation , vol.17 , pp. 2099-2105
    • Glasmachers, T.1    Igel, C.2
  • 19
    • 0027657329 scopus 로고
    • Semi-infinite programming: Theory, methods, and applications
    • R. Hettich and K.O. Kortanek. Semi-infinite programming: theory, methods, and applications. SIAMReview, 35 (3): 380-429, 1993.
    • (1993) SIAMReview , vol.35 , Issue.3 , pp. 380-429
    • Hettich, R.1    Kortanek, K.O.2
  • 20
    • 0002714543 scopus 로고    scopus 로고
    • Making large-scale support vector machine learning practical
    • In B. Schölkopf, C.J.C. Burges, and A.J. Smola, editors, MIT Press
    • T. Joachims. Making large-scale support vector machine learning practical. In B. Schölkopf, C.J.C. Burges, and A.J. Smola, editors, Advances in Kernel Methods- Support Vector Learning, pages 169-184. MIT Press, 1999.
    • (1999) Advances in Kernel Methods- Support Vector Learning , pp. 169-184
    • Joachims, T.1
  • 23
    • 33646887390 scopus 로고
    • On the limited memory BFGS method for large scale optimization
    • D.C. Liu and J. Nocedal. On the limited memory BFGS method for large scale optimization. Mathematical Programming B, 45 (3): 503-528, 1989.
    • (1989) Mathematical Programming B , vol.45 , Issue.3 , pp. 503-528
    • Liu, D.C.1    Nocedal, J.2
  • 24
    • 33646516358 scopus 로고    scopus 로고
    • A geometric approach to support vector machine (SVM) classification
    • M.E. Mavroforakis and S. Theodorodis. A geometric approach to support vector machine (SVM) classification. IEEE Transactions on Neural Networks, 17 (3): 671-682, 2006.
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.3 , pp. 671-682
    • Mavroforakis, M.E.1    Theodorodis, S.2
  • 27
    • 84966262179 scopus 로고
    • Updating quasi-newton matrices with limited storage
    • J. Nocedal. Updating quasi-newton matrices with limited storage. Mathematics of Computation, 35 (151): 773-782, 1980.
    • (1980) Mathematics of Computation , vol.35 , Issue.151 , pp. 773-782
    • Nocedal, J.1
  • 28
    • 0003982971 scopus 로고    scopus 로고
    • second edition. Springer Science+Business Media, LLC, New York, USA
    • J. Nocedal and S.J. Wright. Numerical Optimization, second edition. Springer Science+Business Media, LLC, New York, USA, 2006.
    • (2006) Numerical Optimization
    • Nocedal, J.1    Wright, S.J.2
  • 30
    • 0003120218 scopus 로고    scopus 로고
    • Fast training of support vector machines using sequential minimal optimization
    • In B. Schölkopf, C.J.C. Burges, and A.J. Smola, editors, MIT Press
    • J.C. Piatt. Fast training of support vector machines using sequential minimal optimization. In B. Schölkopf, C.J.C. Burges, and A.J. Smola, editors, Advances in Kernel Methods- Support Vector Learning, pages 185-208. MIT Press, 1999.
    • (1999) Advances in Kernel Methods- Support Vector Learning , pp. 185-208
    • Piatt, J.C.1
  • 33
    • 0000385980 scopus 로고    scopus 로고
    • Numerical methods for semi-infinite programming: A survey
    • In R. Reemtsen and Rückmann, editors, KluwerAcademicPublishers
    • R. Reemtsen and S. Görner. Numerical methods for semi-infinite programming: A survey. In R. Reemtsen and Rückmann, editors, Semi-infinite Programming, pages 195-275. Kluwer Academic Publishers, 1998.
    • (1998) Semi-infinite Programming , pp. 195-275
    • Reemtsen, R.1    Görner, S.2
  • 34
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • R.T. Rockafellar. Convex Analysis. Princeton University Press, Princeton, New Jersey, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 35
    • 0003655416 scopus 로고
    • 3rd edition. Macmillan Publishing Company, New York
    • H.L. Royden. Real Analysis, 3rd edition. Macmillan Publishing Company, New York, 1988.
    • (1988) Real Analysis
    • Royden, H.L.1
  • 36
    • 0004057553 scopus 로고
    • 2nd edition. McGraw-Hill, New York
    • W. Rudin. Functional Analysis, 2nd edition. McGraw-Hill, New York, 1991.
    • (1991) Functional Analysis
    • Rudin, W.1
  • 38
    • 0001743201 scopus 로고
    • Metric spaces and completely monotone functions
    • I.J. Schoenberg. Metric spaces and completely monotone functions. Annals of Mathematics, 39 (4): 811-841, 1938.
    • (1938) Annals of Mathematics , vol.39 , Issue.4 , pp. 811-841
    • Schoenberg, I.J.1
  • 40
    • 0000263906 scopus 로고    scopus 로고
    • Fast approximation of support vector kernel expansions, and an interpretation of clustering as approximation in feature spaces
    • Springer Lecture Notes in Computer Science
    • B. Schölkopf, P. Knirsch, A. Smola, and C. Burges. Fast approximation of support vector kernel expansions, and an interpretation of clustering as approximation in feature spaces. In DAGM Symposium Mustererkennung. Springer Lecture Notes in Computer Science, 1998.
    • (1998) DAGM Symposium Mustererkennung
    • Schölkopf, B.1    Knirsch, P.2    Smola, A.3    Burges, C.4
  • 41
    • 84864066318 scopus 로고    scopus 로고
    • A general and efficient multiple kernel learning algorithm
    • Cambridge MA, MIT Press.
    • S. Sonnenburg, G. Rätsch, and C. Schafer. A general and efficient multiple kernel learning algorithm. In Advances in Neural Information Processing Systems, volume 18, pages 1275-1282, Cambridge MA, 2005. MIT Press.
    • (2005) Advances in Neural Information Processing Systems , vol.18 , pp. 1275-1282
    • Sonnenburg, S.1    Rätsch, G.2    Schafer, C.3
  • 44
    • 0032594959 scopus 로고    scopus 로고
    • An overview of statistical learning theory
    • V.N. Vapnik. An overview of statistical learning theory. IEEE Transactions on Neural Networks, 10 (5): 988-999, 1999.
    • (1999) IEEE Transactions on Neural Networks , vol.10 , Issue.5 , pp. 988-999
    • Vapnik, V.N.1
  • 46
    • 84863385308 scopus 로고    scopus 로고
    • An extended level method for efficient multiple kernel learning
    • British Columbia, Canada, MIT Press.
    • Z. Xu, R. Jin, I. King, and M.R. Lyu. An extended level method for efficient multiple kernel learning. In Advances in Neural Information Processing Systems, volume 21, pages 1825-1832, British Columbia, Canada, 2008. MIT Press.
    • (2008) Advances in Neural Information Processing Systems , vol.21 , pp. 1825-1832
    • Xu, Z.1    Jin, R.2    King, I.3    Lyu, M.R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.