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Volumn , Issue , 2010, Pages

Estimation of Rényi entropy and mutual information based on generalized nearest-neighbor graphs

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION THEORY; NEAREST NEIGHBOR SEARCH;

EID: 85161981737     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (134)

References (37)
  • 1
    • 3042683172 scopus 로고    scopus 로고
    • Information theory in molecular biology
    • C. Adami. Information theory in molecular biology. Physics of Life Reviews, 1:3-22, 2004.
    • (2004) Physics of Life Reviews , vol.1 , pp. 3-22
    • Adami, C.1
  • 3
    • 0000457844 scopus 로고
    • Fractal, random, walks from a variational formalism for Tsallis entropies
    • Feb.
    • P. A. Alemany and D. H. Zanette. Fractal random walks from a variational formalism for Tsallis entropies. Phys. Rev. E, 49(2):R956-R958, Feb 1994.
    • (1994) Phys. Rev. E. , vol.49 , Issue.2
    • Alemany, P.A.1    Zanette, D.H.2
  • 4
    • 0031645454 scopus 로고    scopus 로고
    • Multidimensional independent component analysis
    • Seattle, WA
    • J. Cardoso. Multidimensional independent component analysis. Proc. ICASSP'98, Seattle, WA., 1998.
    • (1998) Proc. ICASSP'98
    • Cardoso, J.1
  • 5
    • 79952282225 scopus 로고    scopus 로고
    • Exploring functional connectivity of the human brain using multivariate information analysis
    • B. Chai, D. B.Walther, D. M. Beck, and L. Fei-Fei. Exploring functional connectivity of the human brain using multivariate information analysis. In NIPS, 2009.
    • (2009) NIPS
    • Chai, B.1    Walther, D.B.2    Beck, D.M.3    Fei-Fei, L.4
  • 8
    • 16244388254 scopus 로고    scopus 로고
    • A new class of random vector entropy estimators and its applications in testing statistical hypotheses
    • M. N. Goria, N. N. Leonenko, V. V. Mergel, and P. L. Novi Inverardi. A new class of random vector entropy estimators and its applications in testing statistical hypotheses. Journal of Nonparametric Statistics, 17: 277-297, 2005.
    • (2005) Journal of Nonparametric Statistics , vol.17 , pp. 277-297
    • Goria, M.N.1    Leonenko, N.N.2    Mergel, V.V.3    Novi Inverardi, P.L.4
  • 9
    • 0033184661 scopus 로고    scopus 로고
    • Asymptotic theory of greedy approximations to minimal k-point random graphs
    • A. O. Hero and O. J. Michel. Asymptotic theory of greedy approximations to minimal k-point random graphs. IEEE Trans. on Information Theory, 45(6):1921-1938, 1999.
    • (1999) IEEE Trans. on Information Theory , vol.45 , Issue.6 , pp. 1921-1938
    • Hero, A.O.1    Michel, O.J.2
  • 12
    • 33947524701 scopus 로고    scopus 로고
    • Causality detection based on information-theoretic approaches in time series analysis
    • K. Hlaváckova-Schindler, M. Paluŝb, M. Vejmelkab, and J. Bhattacharya. Causality detection based on information-theoretic approaches in time series analysis. Physics Reports, 441:1-46, 2007.
    • (2007) Physics Reports , vol.441 , pp. 1-46
    • Hlaváckova-Schindler, K.1    Paluŝb, M.2    Vejmelkab, M.3    Bhattacharya, J.4
  • 13
    • 41849128896 scopus 로고    scopus 로고
    • Constrained subspace ICA based on mutual information optimization directly
    • M. M. Van Hulle. Constrained subspace ICA based on mutual information optimization directly. Neural Computation, 20:964-973, 2008.
    • (2008) Neural Computation , vol.20 , pp. 964-973
    • Van Hulle, M.M.1
  • 15
    • 35548997849 scopus 로고    scopus 로고
    • Rates of convergence of means of Euclidean functionals
    • Y. Koo and S. Lee. Rates of convergence of means of Euclidean functionals. Journal of Theoretical Probability, 20(4):821-841, 2007.
    • (2007) Journal of Theoretical Probability , vol.20 , Issue.4 , pp. 821-841
    • Koo, Y.1    Lee, S.2
  • 18
    • 33947711187 scopus 로고    scopus 로고
    • Incremental updating of nearest neighbor-based high-dimensional entropy estimation
    • J. Kybic. Incremental updating of nearest neighbor-based high-dimensional entropy estimation. In Proc. Acoustics, Speech and Signal Processing, 2006.
    • (2006) Proc. Acoustics, Speech and Signal Processing
    • Kybic, J.1
  • 20
    • 54349103517 scopus 로고    scopus 로고
    • A class of Rényi information estimators for multidimensional densities
    • N. Leonenko, L. Pronzato, and V. Savani. A class of Rényi information estimators for multidimensional densities. Annals of Statistics, 36(5):2153-2182, 2008.
    • (2008) Annals of Statistics , vol.36 , Issue.5 , pp. 2153-2182
    • Leonenko, N.1    Pronzato, L.2    Savani, V.3
  • 23
    • 24344458137 scopus 로고    scopus 로고
    • Feature selection based on mutual information: Criteria of max-dependency, maxrelevance, and min-redundancy
    • H. Peng and C. Ding. Feature selection based on mutual information: Criteria of max-dependency, maxrelevance, and min-redundancy. IEEE Trans On Pattern Analysis and Machine Intelligence, 27, 2005.
    • (2005) IEEE Trans on Pattern Analysis and Machine Intelligence , vol.27
    • Peng, H.1    Ding, C.2
  • 24
    • 31844446803 scopus 로고    scopus 로고
    • Independent subspace analysis using geodesic spanning trees
    • B. Póczos and A. Lörincz. Independent subspace analysis using geodesic spanning trees. In ICML, pages 673-680, 2005.
    • (2005) ICML , pp. 673-680
    • Póczos, B.1    Lörincz, A.2
  • 25
    • 61749089973 scopus 로고    scopus 로고
    • Identification of recurrent neural networks by Bayesian interrogation techniques
    • B. Póczos and A. Lörincz. Identification of recurrent neural networks by Bayesian interrogation techniques. Journal of Machine Learning Research, 10:515-554, 2009.
    • (2009) Journal of Machine Learning Research , vol.10 , pp. 515-554
    • Póczos, B.1    Lörincz, A.2
  • 26
    • 80053163710 scopus 로고    scopus 로고
    • REGO: Rank-based estimation of Rényi information using Euclidean graph optimization
    • B. Póczos, S. Kirshner, and Cs. Szepesvári. REGO: Rank-based estimation of Rényi information using Euclidean graph optimization. In AISTATS 2010, 2010.
    • (2010) AISTATS 2010
    • Póczos, B.1    Kirshner, S.2    Szepesvári, Cs.3
  • 27
    • 0030077266 scopus 로고    scopus 로고
    • Asymptotics for Euclidean functionals with power-weighted edges
    • C. Redmond and J. E. Yukich. Asymptotics for Euclidean functionals with power-weighted edges. Stochastic processes and their applications, 61(2):289-304, 1996.
    • (1996) Stochastic Processes and Their Applications , vol.61 , Issue.2 , pp. 289-304
    • Redmond, C.1    Yukich, J.E.2
  • 28
    • 85040094342 scopus 로고
    • On optimal and data-based histograms
    • D. W. Scott. On optimal and data-based histograms. Biometrika, 66:605-610, 1979.
    • (1979) Biometrika , vol.66 , pp. 605-610
    • Scott, D.W.1
  • 32
    • 0030547960 scopus 로고    scopus 로고
    • Root-n consistent estimators of entropy for densities with unbounded support
    • A. B. Tsybakov and E. C. van der Meulen. Root-n consistent estimators of entropy for densities with unbounded support. Scandinavian Journal of Statistics, 23:75-83, 1996.
    • (1996) Scandinavian Journal of Statistics , vol.23 , pp. 75-83
    • Tsybakov, A.B.1    Van Der Meulen, E.C.2
  • 35
    • 65749108082 scopus 로고    scopus 로고
    • Divergence estimation for multidimensional densities via κ-nearestneighbor distances
    • Q. Wang, S. R. Kulkarni, and S. Verdú. Divergence estimation for multidimensional densities via κ-nearestneighbor distances. IEEE Transactions on Information Theory, 55(5):2392-2405, 2009b.
    • (2009) IEEE Transactions on Information Theory , vol.55 , Issue.5 , pp. 2392-2405
    • Wang, Q.1    Kulkarni, S.R.2    Verdú, S.3
  • 36
    • 14844356926 scopus 로고    scopus 로고
    • Minimum-entropy estimation in semi-parametric models
    • E. Wolsztynski, E. Thierry, and L. Pronzato. Minimum-entropy estimation in semi-parametric models. Signal Process., 85(5):937-949, 2005.
    • (2005) Signal Process. , vol.85 , Issue.5 , pp. 937-949
    • Wolsztynski, E.1    Thierry, E.2    Pronzato, L.3


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