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Volumn 56, Issue 7, 2010, Pages 3438-3454

Rate distortion and denoising of individual data using kolmogorov complexity

Author keywords

Algorithmic rate distortion; Characterization; Denoising; Distortion families; Fitness of destination words; Individual data; Kolmogorov complexity; Rate distortion; Shapes of curves

Indexed keywords

CARDINALITIES; DE-NOISING; DISTORTION MEASURES; EUCLIDEAN; FITNESS OF DESTINATION WORDS; KOLMOGOROV COMPLEXITY; MUTUAL INFORMATIONS; RATE DISTORTIONS; RATE-DISTORTION FUNCTION; SHANNON'S THEORY;

EID: 77953789264     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2048491     Document Type: Article
Times cited : (30)

References (27)
  • 2
    • 0032183171 scopus 로고    scopus 로고
    • Lossy source coding
    • T. Berger and J. D. Gibson, "Lossy source coding," IEEE Trans. Inf. Theory, vol.44, no.6, pp. 2693-2723, 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.6 , pp. 2693-2723
    • Berger, T.1    Gibson, J.D.2
  • 5
    • 2942650558 scopus 로고    scopus 로고
    • The Kolmogorov sampler
    • submitted for publication
    • D. Donoho, "The Kolmogorov sampler," Ann. Statist., submitted for publication.
    • Ann. Statist.
    • Donoho, D.1
  • 7
    • 0001902056 scopus 로고
    • Three approaches to the quantitative definition of information
    • A. N. Kolmogorov, "Three approaches to the quantitative definition of information," Problems Inf. Transmiss., vol.1, no.1, pp. 1-7, 1965.
    • (1965) Problems Inf. Transmiss. , vol.1 , Issue.1 , pp. 1-7
    • Kolmogorov, A.N.1
  • 8
    • 0012527145 scopus 로고
    • Complexity of algorithms and objective definition of randomness
    • a talk at Moscow Math. Soc. meeting 4/16/1974, An abstract available in English translation in [22]
    • A. N. Kolmogorov, "Complexity of algorithms and objective definition of randomness," a talk at Moscow Math. Soc. meeting 4/16/1974.," Uspekhi Mat. Nauk, vol. 29, no. 4, p. 155, 1974, An abstract available in English translation in [22].
    • (1974) Uspekhi Mat. Nauk , vol.29 , Issue.4 , pp. 155
    • Kolmogorov, A.N.1
  • 10
    • 0035102453 scopus 로고    scopus 로고
    • An information-based sequence distance and its application to whole mitochondrial genome phylogeny
    • M. Li, J. H. Badger, X. Chen, S. Kwong, P. Kearney, and H. Zhang, "An information-based sequence distance and its application to whole mitochondrial genome phylogeny," Bioinformatics, vol.17, no.2, pp. 149-154, 2001.
    • (2001) Bioinformatics , vol.17 , Issue.2 , pp. 149-154
    • Li, M.1    Badger, J.H.2    Chen, X.3    Kwong, S.4    Kearney, P.5    Zhang, H.6
  • 12
    • 0029405853 scopus 로고
    • Filtering random noise from deterministic signals via data compression
    • B. K. Natarajan, "Filtering random noise from deterministic signals via data compression," IEEE Trans. Signal Process., vol.43, no.11, pp. 2595-2605, 1995.
    • (1995) IEEE Trans. Signal Process. , vol.43 , Issue.11 , pp. 2595-2605
    • Natarajan, B.K.1
  • 13
    • 0028481402 scopus 로고
    • Distortion-complexity and rate-distortion function
    • J. Muramatsu and F. Kanaya, "Distortion-complexity and rate-distortion function," IEICE Trans. Fund., vol.E77-A, no.8, pp. 1224-1229, 1994.
    • (1994) IEICE Trans. Fund. , vol.E77-A , Issue.8 , pp. 1224-1229
    • Muramatsu, J.1    Kanaya, F.2
  • 15
    • 77953799029 scopus 로고    scopus 로고
    • Approximating rate-distortion graphs of individual data: Experiments in lossy compression and denoising
    • Submitted. Also: Arxiv preprint cs.IT/0609121
    • S. de Rooij and P. M. B.Vitanyi, "Approximating rate-distortion graphs of individual data: Experiments in lossy compression and denoising," IEEE Trans. Comput., Submitted. Also: Arxiv preprint cs.IT/0609121, 2006.
    • (2006) IEEE Trans. Comput.
    • De Rooij, S.1    Vitanyi, P.M.B.2
  • 16
    • 85011629828 scopus 로고
    • Simultaneous noise suppression and signal compression using a library of orthonormal bases and the minimum description length criterion
    • E. Foufoula-Georgiou and P. Kumar, Eds. New York: Academic
    • N. Saito, "Simultaneous noise suppression and signal compression using a library of orthonormal bases and the minimum description length criterion," in Wavelets in Geophys., E. Foufoula-Georgiou and P. Kumar, Eds. New York: Academic, 1994, pp. 299-324.
    • (1994) Wavelets in Geophys , pp. 299-324
    • Saito, N.1
  • 17
    • 84856043672 scopus 로고
    • The mathematical theory of communication
    • C. E. Shannon, "The mathematical theory of communication," Bell Syst. Tech. J., vol.27, no.379-423, pp. 623-656, 1948.
    • (1948) Bell Syst. Tech. J. , vol.27 , Issue.379-423 , pp. 623-656
    • Shannon, C.E.1
  • 18
    • 0003214704 scopus 로고
    • Coding theorems for a discrete source with a fidelity criterion
    • C. E. Shannon, "Coding theorems for a discrete source with a fidelity criterion," IRE Nat. Convent. Rec., Part 4, pp. 142-163, 1959.
    • (1959) IRE Nat. Convent. Rec. , Issue.PART 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. Kh. Shen, "The concept of α,β-stochasticity in the Kolmogorov sense, and its properties," Soviet Math. Dokl., vol.28, no.1, pp. 295-299, 1983.
    • (1983) Soviet Math. Dokl. , vol.28 , Issue.1 , pp. 295-299
    • Shen, A.K.1
  • 20
    • 0037354226 scopus 로고    scopus 로고
    • Complexity distortion theory
    • D. M. Sow and A. Eleftheriadis, "Complexity distortion theory," IEEE Trans. Inf. Theory, vol.49, no.3, pp. 604-608, 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.3 , pp. 604-608
    • Sow, D.M.1    Eleftheriadis, A.2
  • 21
    • 84960561455 scopus 로고
    • On computable numbers, with an application to the Entscheidungsproblem
    • A. M. Turing, "On computable numbers, with an application to the Entscheidungsproblem," Proc. London Math. Soc., 42:2(1936), 230-265.
    • (1936) Proc. London Math. Soc. , vol.42 , Issue.2 , pp. 230-265
    • Turing, A.M.1
  • 22
    • 0001602511 scopus 로고
    • Correction
    • Ibid
    • "Correction", Proc. London Math. Soc.,Ibid., 43(1937), 544-546.
    • (1937) Proc. London Math. Soc. , vol.43 , pp. 544-546
  • 23
    • 10644226108 scopus 로고    scopus 로고
    • Kolmogorov's structure functions and model selection
    • 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, 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.12 , pp. 3265-3290
    • Vereshchagin, N.K.1    Vitányi, P.M.B.2
  • 25
    • 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
  • 26
    • 0027311432 scopus 로고
    • Distortion program-size complexity with respect to a fidelity criterion and rate-distortion function
    • E.-H. Yang and S.-Y. Shen, "Distortion program-size complexity with respect to a fidelity criterion and rate-distortion function," IEEE Trans. Inf. Theory, vol.39, no.1, pp. 288-292, 1993.
    • (1993) IEEE Trans. Inf. Theory , vol.39 , Issue.1 , pp. 288-292
    • Yang, E.-H.1    Shen, S.-Y.2
  • 27
    • 0018995553 scopus 로고
    • Distortion-rate theory for individual sequences
    • J. Ziv, "Distortion-rate theory for individual sequences," IEEE Trans. Inf. Theory, vol.IT-26, no.2, pp. 137-143, 1980.
    • (1980) IEEE Trans. Inf. Theory , vol.IT-26 , Issue.2 , pp. 137-143
    • Ziv, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.