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Volumn 5, Issue 2, 2016, Pages 134-158

On invariance and selectivity in representation learning

Author keywords

Invariance; Machine learning

Indexed keywords


EID: 85071659312     PISSN: None     EISSN: 20498772     Source Type: Journal    
DOI: 10.1093/imaiai/iaw009     Document Type: Article
Times cited : (74)

References (42)
  • 3
    • 85007274658 scopus 로고    scopus 로고
    • Unsupervised learning of invariant representations in hierarchical architectures
    • (preprint) arXiv:1311.4158
    • Anselmi, F., Leibo, J. Z., Rosasco, L., Mutch, J., Tacchetti, A. & Poggio, T. (2013) Unsupervised learning of invariant representations in hierarchical architectures. Theor. Comput. Sci. (preprint) arXiv:1311.4158.
    • (2013) Theor. Comput. Sci
    • Anselmi, F.1    Leibo, J.Z.2    Rosasco, L.3    Mutch, J.4    Tacchetti, A.5    Poggio, T.6
  • 4
    • 85021815879 scopus 로고    scopus 로고
    • Magic materials: A theory of deep hierarchical architectures for learning sensory representations
    • Anselmi, F., Leibo, J. Z., Rosasco, L., Mutch, J., Tacchetti, A. & Poggio, T. (2013) Magic materials: A theory of deep hierarchical architectures for learning sensory representations. CBCL Paper.
    • (2013) CBCL Paper
    • Anselmi, F.1    Leibo, J.Z.2    Rosasco, L.3    Mutch, J.4    Tacchetti, A.5    Poggio, T.6
  • 5
    • 84962061461 scopus 로고    scopus 로고
    • Representation learning in sensory cortex: A theory
    • Anselmi, F. & Poggio, T. (2010) Representation learning in sensory cortex: A theory. CBMM Memo No. 26.
    • (2010) CBMM Memo No. 26
    • Anselmi, F.1    Poggio, T.2
  • 10
  • 12
    • 84963012029 scopus 로고
    • Some theorems on distribution functions
    • Cramer, H. & Wold, H. (1936) Some theorems on distribution functions. J. Lond. Math. Soc., 4, 290-294.
    • (1936) J. Lond. Math. Soc. , vol.4 , pp. 290-294
    • Cramer, H.1    Wold, H.2
  • 13
    • 0036071370 scopus 로고    scopus 로고
    • On the mathematical foundations of learning
    • Cucker, F. & Smale, S. (2002) On the mathematical foundations of learning. Bull. Am. Math. Soc., 39, 1-49.
    • (2002) Bull. Am. Math. Soc. , vol.39 , pp. 1-49
    • Cucker, F.1    Smale, S.2
  • 15
    • 0019152630 scopus 로고
    • Neocognitron: A self-organizing neural network model for a mechanism of pattern recognition unaffected by shift in position
    • Fukushima, K. (1980) Neocognitron: A self-organizing neural network model for a mechanism of pattern recognition unaffected by shift in position. Biol. Cybern., 36, 193-202.
    • (1980) Biol. Cybern. , vol.36 , pp. 193-202
    • Fukushima, K.1
  • 16
    • 85071683559 scopus 로고    scopus 로고
    • A PAC theory of the transferable
    • Current Issue
    • Galanti, T., Wolf, L. & Hazan, T. (2015) A PAC theory of the transferable. Inf. Inference (Current Issue).
    • (2015) Inf. Inference
    • Galanti, T.1    Wolf, L.2    Hazan, T.3
  • 18
    • 34249714660 scopus 로고    scopus 로고
    • Invariant Kernel functions for pattern analysis and machine learning
    • Haasdonk, B. & Burkhardt, H. (2007) Invariant Kernel functions for pattern analysis and machine learning. Mach. Learn., 68, 35-61.
    • (2007) Mach. Learn. , vol.68 , pp. 35-61
    • Haasdonk, B.1    Burkhardt, H.2
  • 19
    • 84862630897 scopus 로고    scopus 로고
    • Hilbertian metrics and positive definite kernels on probability measures
    • Max-Planck-Gesellschaft
    • Hein, M. & Bousquet, O. (2005) Hilbertian metrics and positive definite kernels on probability measures. AISTATS 2005. Max-Planck-Gesellschaft, pp. 136-143.
    • (2005) AISTATS 2005 , pp. 136-143
    • Hein, M.1    Bousquet, O.2
  • 20
    • 33645410496 scopus 로고
    • Receptive fields, binocular interaction and functional architecture in the cat's visual cortex
    • Hubel, D. & Wiesel, T. (1962) Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. J. Physiol., 160, 106.
    • (1962) J. Physiol. , vol.160 , pp. 106
    • Hubel, D.1    Wiesel, T.2
  • 21
    • 78651178699 scopus 로고
    • Receptive fields and functional architecture in two nonstriate visual areas (18 and 19) of the cat
    • Hubel, D. & Wiesel, T. (1965) Receptive fields and functional architecture in two nonstriate visual areas (18 and 19) of the cat. J. Neurophysiol., 28, 229.
    • (1965) J. Neurophysiol. , vol.28 , pp. 229
    • Hubel, D.1    Wiesel, T.2
  • 22
    • 0014266913 scopus 로고
    • Receptive fields and functional architecture of monkey striate cortex
    • Hubel, D. & Wiesel, T. (1968) Receptive fields and functional architecture of monkey striate cortex. J. Physiol., 195, 215.
    • (1968) J. Physiol. , vol.195 , pp. 215
    • Hubel, D.1    Wiesel, T.2
  • 23
    • 70350223723 scopus 로고    scopus 로고
    • Support theorems for the radon transform and Cramer-Wold theorems
    • Jan Boman, F. L. (2009) Support theorems for the radon transform and Cramer-Wold theorems. J. Theor. Probab., 22, 683-710.
    • (2009) J. Theor. Probab. , vol.22 , pp. 683-710
    • Jan Boman, F.L.1
  • 24
    • 51249179296 scopus 로고
    • Extensions of Lipschitz mappings into a Hilbert space
    • Johnson, W. B. & Lindenstrauss, J. (1984) Extensions of Lipschitz mappings into a Hilbert space. Contemp. Math., 54, 129-138.
    • (1984) Contemp. Math. , vol.54 , pp. 129-138
    • Johnson, W.B.1    Lindenstrauss, J.2
  • 26
    • 0002263996 scopus 로고
    • Convolutional networks for images, speech, and time series
    • MA: MIT Press Cambridge
    • LeCun, Y. & Bengio, Y. (1995) Convolutional networks for images, speech, and time series. The Handbook of Brain Theory and Neural Networks. MA: MIT Press Cambridge, 255-258.
    • (1995) The Handbook of Brain Theory and Neural Networks , pp. 255-258
    • LeCun, Y.1    Bengio, Y.2
  • 28
    • 84864324516 scopus 로고    scopus 로고
    • Group invariant scattering
    • Mallat, S. (2012) Group invariant scattering. Commun. Pure Appl. Math., 65, 1331-1398.
    • (2012) Commun. Pure Appl. Math. , vol.65 , pp. 1331-1398
    • Mallat, S.1
  • 31
    • 85016079847 scopus 로고    scopus 로고
    • On the theory of reproducing kernel hilbert spaces
    • Ramm, A. G. (1998) On the theory of reproducing kernel hilbert spaces. J. Inverse Ill-Posed Probl, 6, 515-520.
    • (1998) J. Inverse Ill-Posed Probl , vol.6 , pp. 515-520
    • Ramm, A.G.1
  • 33
    • 0033316361 scopus 로고    scopus 로고
    • Hierarchical models of object recognition in cortex
    • Riesenhuber, M. & Poggio, T. (1999) Hierarchical models of object recognition in cortex. Nat. Neurosci., 2, 1019-1025.
    • (1999) Nat. Neurosci. , vol.2 , pp. 1019-1025
    • Riesenhuber, M.1    Poggio, T.2
  • 36
    • 85083952843 scopus 로고    scopus 로고
    • Visual scene representations: Sufficiency, minimality, invariance and deep approximation
    • also ArXiv: 1411.7676, 2014
    • Soatto, S. & Chiuso, A. Visual scene representations: Sufficiency, minimality, invariance and deep approximation. Proceedings of the ICLR Workshop, 2015 (also ArXiv: 1411.7676, 2014).
    • Proceedings of the ICLR Workshop, 2015
    • Soatto, S.1    Chiuso, A.2
  • 38
    • 85032751780 scopus 로고    scopus 로고
    • Dictionary learning: What is the right representation for my signal?
    • Tosic, I. & Frossard, P. (2011) Dictionary learning: what is the right representation for my signal? IEEE Signal Process. Mag., 28, 27-38.
    • (2011) IEEE Signal Process. Mag. , vol.28 , pp. 27-38
    • Tosic, I.1    Frossard, P.2
  • 40
    • 84856194352 scopus 로고    scopus 로고
    • Efficient additive kernels via explicit feature maps
    • Vedaldi, A. & Zisserman, A. (2011) Efficient additive kernels via explicit feature maps. Pattern Anal.Mach. Intell., 34, 480-492.
    • (2011) Pattern Anal.Mach. Intell. , vol.34 , pp. 480-492
    • Vedaldi, A.1    Zisserman, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.