메뉴 건너뛰기




Volumn 52, Issue 10, 2006, Pages 4617-4626

Meaningful information

Author keywords

Computability; Constrained best fit model selection; Kolmogorov complexity; Kolmogorov structure function; Lossy compression; Minimal sufficient statistic; Nonprobabilistic statistics; Sophistication; Sufficient statistic

Indexed keywords

ALGORITHMS; COMPUTABILITY AND DECIDABILITY; COMPUTATIONAL COMPLEXITY; MATHEMATICAL MODELS; PROBABILITY; STATISTICAL METHODS;

EID: 33947422405     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.881729     Document Type: Article
Times cited : (48)

References (25)
  • 1
    • 0032183995 scopus 로고    scopus 로고
    • The minimum description length principle in coding and modeling
    • Oct
    • A. R. Barron, J. Rissanen, and B. Yu, "The minimum description length principle in coding and modeling," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2743-2760, Oct. 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.6 , pp. 2743-2760
    • Barron, A.R.1    Rissanen, J.2    Yu, B.3
  • 2
    • 0022324332 scopus 로고
    • Kolmogorov complexity, data compression, and inference
    • J. K. Skwirzynski, Ed. Dordrecht, The Netherlands: Martinus Nijhoff
    • T. M. Cover, "Kolmogorov complexity, data compression, and inference," in The Impact of Processing Techniques on Communications, J. K. Skwirzynski, Ed. Dordrecht, The Netherlands: Martinus Nijhoff, 1985, pp. 23-33.
    • (1985) The Impact of Processing Techniques on Communications , pp. 23-33
    • Cover, T.M.1
  • 4
    • 0001735517 scopus 로고
    • On the mathematical foundations of theoretical statistics
    • R. A. Fisher, "On the mathematical foundations of theoretical statistics," Phil. Tran. Roy. Soc. London, Ser. A, vol. 222, pp. 309-368, 1922.
    • (1922) Phil. Tran. Roy. Soc. London, Ser. A , vol.222 , pp. 309-368
    • Fisher, R.A.1
  • 5
    • 0000189643 scopus 로고
    • On the symmetry of algorithmic information
    • P. Gács, "On the symmetry of algorithmic information," Sov.Math. - Dokl., vol. 15, pp. 1477-1480, 1974.
    • (1974) Sov.Math. - Dokl , vol.15 , pp. 1477-1480
    • Gács, P.1
  • 7
    • 0034250304 scopus 로고    scopus 로고
    • Applying MDL to learn best model granularity
    • Q. Gao, M. Li, and P. M. B. Vitányi, "Applying MDL to learn best model granularity," Artificial Intell., vol. 121, pp. 1-29, 2000.
    • (2000) Artificial Intell , vol.121 , pp. 1-29
    • Gao, Q.1    Li, M.2    Vitányi, P.M.B.3
  • 9
    • 33947359214 scopus 로고    scopus 로고
    • Shannon Information and Kolmogorov Complexity. CWI, Amsterdam, The Netherlands
    • unpublished manuscript
    • P. D. Grünwald and P. M. B. Vitányi, Shannon Information and Kolmogorov Complexity. CWI, Amsterdam, The Netherlands, 2003, unpublished manuscript.
    • (2003)
    • Grünwald, P.D.1    Vitányi, P.M.B.2
  • 10
    • 0001902056 scopus 로고
    • Three approaches to the quantitative definition of information
    • A. N. Kolmogorov, "Three approaches to the quantitative definition of information," Probl. Inf. Transm., vol. I, no. 1, pp. 1-7, 1965.
    • (1965) Probl. Inf. Transm , vol.1 , Issue.1 , pp. 1-7
    • Kolmogorov, A.N.1
  • 12
    • 33947399002 scopus 로고    scopus 로고
    • _, On logical foundations of probability theory, in Probability Theory and Mathematical Statistics (Lecture Notes in Mathematics) K. Itô and Y. V. Prokhorov, Eds. Heidelberg, Germany: Springer-Verlag, 1983, 1021, pp. 1-5.
    • _, "On logical foundations of probability theory," in Probability Theory and Mathematical Statistics (Lecture Notes in Mathematics) K. Itô and Y. V. Prokhorov, Eds. Heidelberg, Germany: Springer-Verlag, 1983, vol. 1021, pp. 1-5.
  • 14
    • 0001486344 scopus 로고
    • Complexity, depth, and sophistication
    • M. Koppel, "Complexity, depth, and sophistication," Complex Syst., vol. 1, pp. 1087-1091, 1987.
    • (1987) Complex Syst , vol.1 , pp. 1087-1091
    • Koppel, M.1
  • 17
    • 84856043672 scopus 로고
    • The mathematical theory of communication
    • C. E. Shannon, "The mathematical theory of communication," Bell Syst. Tech. J., vol. 27, pp. 379-423, 623-656, 1948.
    • (1948) Bell Syst. Tech. J , vol.27
    • Shannon, C.E.1
  • 18
    • 0003214704 scopus 로고
    • Coding theorems for a discrete source with a fidelity criterion
    • _, "Coding theorems for a discrete source with a fidelity criterion," in IRE Nat. Conv: Rec., Pt. 4, 1959, pp. 142-163.
    • (1959) IRE Nat. Conv: Rec., Pt , vol.4 , pp. 142-163
    • Shannon, C.E.1
  • 19
    • 0001273945 scopus 로고
    • The concept of (α, β)-stochasticity in the Kolmogorov sense, and its properties
    • A. K. Shen, "The concept of (α, β)-stochasticity in the Kolmogorov sense, and its properties," Sov: Math. - Dokl., vol. 28, no. 1, pp. 295-299, 1983.
    • (1983) Sov: Math. - Dokl , vol.28 , Issue.1 , pp. 295-299
    • Shen, A.K.1
  • 20
    • 0032685680 scopus 로고    scopus 로고
    • Discussion on Kolmogorov complexity and statistical analysis
    • _, "Discussion on Kolmogorov complexity and statistical analysis," Comput. J., vol. 42, no. 4, pp. 340-342, 1999.
    • (1999) Comput. J , vol.42 , Issue.4 , pp. 340-342
    • Shen, A.K.1
  • 21
    • 10644226108 scopus 로고    scopus 로고
    • Kolmogorov's structure functions and model selection
    • Dec
    • N. K. Vereshchagin and P. M. B. Vitányi, "Kolmogorov's structure functions and model selection," IEEE Trans. Inf. Theory, vol. 50, no. 12, pp. 3265-3290, Dec. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.12 , pp. 3265-3290
    • Vereshchagin, N.K.1    Vitányi, P.M.B.2
  • 23
    • 0033877395 scopus 로고    scopus 로고
    • Minimum description length induction, Bayesianism, and Kolmogorov complexity
    • Mar
    • P. M. B. Vitányi and M. Li, "Minimum description length induction, Bayesianism, and Kolmogorov complexity," IEEE Trans. Inf. Theory, vol. 46, no. 2, pp. 446-464, Mar. 2000.
    • (2000) IEEE Trans. Inf. Theory , vol.46 , Issue.2 , pp. 446-464
    • Vitányi, P.M.B.1    Li, M.2
  • 24
    • 0001710674 scopus 로고
    • On the defect of randomness of a finite object with respect to measures with given complexity bounds
    • V. V. V'yugin, "On the defect of randomness of a finite object with respect to measures with given complexity bounds," SIAM Theory Probab. Appl., vol. 32, no. 3, pp. 508-512, 1987.
    • (1987) SIAM Theory Probab. Appl , vol.32 , Issue.3 , pp. 508-512
    • V'yugin, V.V.1
  • 25
    • 0032684824 scopus 로고    scopus 로고
    • Algorithmic complexity and stochastic properties of finite binary sequences
    • _, "Algorithmic complexity and stochastic properties of finite binary sequences," Comput. J., vol. 42, no. 4, pp. 294-317, 1999.
    • (1999) Comput. J , vol.42 , Issue.4 , pp. 294-317
    • V'yugin, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.