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Volumn 46, Issue 1, 2000, Pages 136-152

Pointwise redundancy in lossy data compression and universal lossy data compression

Author keywords

[No Author keywords available]

Indexed keywords

CODING THEOREM; DISTORTION LEVEL; LARGE DEVIATIONS; LOSSY DATA DEVIATIONS; UNIVERSAL CODING;

EID: 0033888669     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.817514     Document Type: Article
Times cited : (66)

References (40)
  • 1
    • 33749942567 scopus 로고
    • Ph.D. dissertation, Dept. Elec. Eng., Stanford Univ., Stanford, CA
    • P. H. Algoet, "Log-optimal investment," Ph.D. dissertation, Dept. Elec. Eng., Stanford Univ., Stanford, CA, 1985.
    • (1985) Log-optimal Investment
    • Algoet, P.H.1
  • 2
    • 0003757634 scopus 로고
    • Ph.D. dissertation, Dept. Elec. Eng., Stanford Univ., Stanford, CA
    • A. R. Barron, "Logically smooth density estimation," Ph.D. dissertation, Dept. Elec. Eng., Stanford Univ., Stanford, CA, 1985.
    • (1985) Logically Smooth Density Estimation
    • Barron, A.R.1
  • 3
    • 0001601975 scopus 로고
    • Game-theoretic optimal portfolios
    • R. Bell and T. M. Cover, "Game-theoretic optimal portfolios," Management Sci., vol. 34, no. 6, pp. 724-733, 1988.
    • (1988) Management Sci. , vol.34 , Issue.6 , pp. 724-733
    • Bell, R.1    Cover, T.M.2
  • 6
    • 33749953796 scopus 로고
    • SIAM Classics in Applied Mathematics, Philadelphia, PA: SIAM
    • L. Breiman, Probability , ser. SIAM Classics in Applied Mathematics, vol. 7. Philadelphia, PA: SIAM, 1992.
    • (1992) Probability , Ser. , vol.7
    • Breiman, L.1
  • 8
    • 0030195609 scopus 로고    scopus 로고
    • A vector quantization approach to universal noiseless coding and quantizations
    • July
    • P.A. Chou, M. Effros, and R. M. Gray, "A vector quantization approach to universal noiseless coding and quantizations," IEEE Trans. Inform. Theory, vol. 42, pp. 1109-1138, July 1996.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 1109-1138
    • Chou, P.A.1    Effros, M.2    Gray, R.M.3
  • 10
    • 0033437915 scopus 로고    scopus 로고
    • The asymptotics of waiting times between stationary processes, allowing distortion
    • A. Dembo and I. Kontoyiannis, "The asymptotics of waiting times between stationary processes, allowing distortion," Ann. Appl. Probab., vol. 9, pp. 413-429, 1999.
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 413-429
    • Dembo, A.1    Kontoyiannis, I.2
  • 13
    • 0016486577 scopus 로고
    • Universal codeword sets and representations of the integers
    • P. Elias, "Universal codeword sets and representations of the integers," IEEE Trans. Inform. Theory, vol. IT-21, pp. 194-203, 1975.
    • (1975) IEEE Trans. Inform. Theory , vol.IT-21 , pp. 194-203
    • Elias, P.1
  • 14
    • 0026119776 scopus 로고
    • Sample converses in source coding theory
    • Mar.
    • J. C. Kieffer, "Sample converses in source coding theory," IEEE Trans. Inform. Theory, vol. 37, pp. 263-268, Mar. 1991.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 263-268
    • Kieffer, J.C.1
  • 15
    • 0031191957 scopus 로고    scopus 로고
    • Second-order noiseless source coding theorems
    • July
    • I. Kontoyiannis, "Second-order noiseless source coding theorems," IEEE Trans. Inform. Theory, vol. 43, pp. 1339-1341, July 1997.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 1339-1341
    • Kontoyiannis, I.1
  • 16
    • 0032395716 scopus 로고    scopus 로고
    • Asymptotic recurrence and waiting times for stationary processes
    • _, "Asymptotic recurrence and waiting times for stationary processes," J. Theor. Probab., vol. 11, pp. 795-811, 1998.
    • (1998) J. Theor. Probab. , vol.11 , pp. 795-811
  • 17
    • 0033356515 scopus 로고    scopus 로고
    • An implementable lossy version of the Lempel-Ziv algorithm-Part I: Optimality for memoryless sources
    • Nov.
    • _, "An implementable lossy version of the Lempel-Ziv algorithm-Part I: Optimality for memoryless sources," IEEE Trans. Inform. Theory, vol. 45, pp. 2293-2305, Nov. 1999.
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 2293-2305
  • 18
  • 19
    • 0028548396 scopus 로고
    • Rates of convergence in the source coding theorem, in empirical quantizer design, and in universal lossy source coding
    • Nov.
    • T. Linder, G. Lugosi, and K. Zeger, "Rates of convergence in the source coding theorem, in empirical quantizer design, and in universal lossy source coding," IEEE Trans. Inform. Theory, vol. 40, pp. 1728-1740, Nov. 1994.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 1728-1740
    • Linder, T.1    Lugosi, G.2    Zeger, K.3
  • 20
    • 0029306817 scopus 로고
    • Fixed-rate universal lossy source coding and rates of convergence for memoryless sources
    • May
    • _, "Fixed-rate universal lossy source coding and rates of convergence for memoryless sources," IEEE Trans. Inform. Theory, vol. 41, pp. 665-676, May 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 665-676
  • 21
    • 0005718722 scopus 로고
    • A comment on 'A rate of convergence result for a universal D-semifaithful code'
    • July
    • N. Merhav, "A comment on 'A rate of convergence result for a universal D-semifaithful code'," IEEE Trans. Inform. Theory, vol. 41, pp. 1200-1202, July 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 1200-1202
    • Merhav, N.1
  • 22
    • 0016546722 scopus 로고
    • Fixed rate universal block source coding with a fidelity criterion
    • Sept.
    • R. M. Neuhoff, D. L. Gray, and L. D. Davisson, "Fixed rate universal block source coding with a fidelity criterion," IEEE Trans. Inform. Theory, vol. IT-21, pp. 511-523, Sept. 1975.
    • (1975) IEEE Trans. Inform. Theory , vol.IT-21 , pp. 511-523
    • Neuhoff, R.M.1    Gray, D.L.2    Davisson, L.D.3
  • 23
    • 3142588143 scopus 로고
    • Universal almost sure data compression
    • D. Ornstein and P. C. Shields, "Universal almost sure data compression," Ann. Probab., vol. 18, pp. 441-452, 1990.
    • (1990) Ann. Probab. , vol.18 , pp. 441-452
    • Ornstein, D.1    Shields, P.C.2
  • 24
    • 0000360434 scopus 로고
    • The transmission distortion of a source as a function of the encoding block length
    • R. J. Pile, "The transmission distortion of a source as a function of the encoding block length," Bell Syst. Tech. J., vol. 47, pp. 827-885, 1968.
    • (1968) Bell Syst. Tech. J. , vol.47 , pp. 827-885
    • Pile, R.J.1
  • 28
    • 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," in IRE Nat. Conv. Rec., vol. 4, 1959, pp. 142-163.
    • (1959) IRE Nat. Conv. Rec. , vol.4 , pp. 142-163
    • Shannon, C.E.1
  • 29
    • 0031489221 scopus 로고    scopus 로고
    • String matching bounds via coding
    • P. C. Shields, "String matching bounds via coding," Ann. Probab., vol. 25, pp. 329-336, 1997.
    • (1997) Ann. Probab. , vol.25 , pp. 329-336
    • Shields, P.C.1
  • 30
    • 0001913270 scopus 로고
    • Coding of discrete sources with unknown statistics
    • I. Csiszár and P. Elias, Eds. Amsterdam, The Netherlands: North Holland (Coll. Math. Soc. J. Bolyai)
    • J. Shtarkov, "Coding of discrete sources with unknown statistics," in Topics in Information Theory, I. Csiszár and P. Elias, Eds. Amsterdam, The Netherlands: North Holland (Coll. Math. Soc. J. Bolyai), 1977, vol. 16, pp. 559-574.
    • (1977) Topics in Information Theory , vol.16 , pp. 559-574
    • Shtarkov, J.1
  • 31
    • 84972513554 scopus 로고
    • On general minimax theorems
    • M. Sion, "On general minimax theorems," Pac. J. Math., vol. 8, pp. 171-176, 1958.
    • (1958) Pac. J. Math. , vol.8 , pp. 171-176
    • Sion, M.1
  • 32
    • 84977686630 scopus 로고
    • Communication of analog data from a Gaussian source over a noisy channel
    • A. D. Wyner, "Communication of analog data from a Gaussian source over a noisy channel," Bell Syst. Tech. J., vol. 47, pp. 801-812, 1968.
    • (1968) Bell Syst. Tech. J. , vol.47 , pp. 801-812
    • Wyner, A.D.1
  • 33
    • 0028448560 scopus 로고
    • The sliding-window Lempel-Ziv algorithm is asymptotically optimal
    • June
    • A. D. Wyner and J. Ziv, "The sliding-window Lempel-Ziv algorithm is asymptotically optimal," Proc. IEEE, vol. 82, pp. 872-877, June 1994.
    • (1994) Proc. IEEE , vol.82 , pp. 872-877
    • Wyner, A.D.1    Ziv, J.2
  • 34
    • 0031647294 scopus 로고    scopus 로고
    • On the performance of data compression algorithms based upon string matching
    • Jan.
    • E.-H. Yang and J. C. Kieffer, "On the performance of data compression algorithms based upon string matching," IEEE Trans. Inform. Theory, vol. 44, pp. 47-65, Jan. 1998.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 47-65
    • Yang, E.-H.1    Kieffer, J.C.2
  • 35
    • 0032641872 scopus 로고    scopus 로고
    • On the redundancy of lossy source coding with abstract alphabets
    • May
    • E.-H. Yang and Z. Zhang, "On the redundancy of lossy source coding with abstract alphabets," IEEE Trans. Inform. Theory, vol. 45, pp. 1092-1110, May 1999.
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 1092-1110
    • Yang, E.-H.1    Zhang, Z.2
  • 38
    • 0027596996 scopus 로고
    • A rate of convergence result for a universal D-semifaithful code
    • May
    • B. Yu and T. P. Speed, "A rate of convergence result for a universal D-semifaithful code," IEEE Trans. Inform. Theory, vol. 39, pp. 813-820, May 1993.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 813-820
    • Yu, B.1    Speed, T.P.2
  • 39
    • 0030784276 scopus 로고    scopus 로고
    • The redundancy of source coding with a fidelity criterion-Part I: Known statistics
    • Jan
    • Z. Zhang, E.-H. Yang, and V. K. Wei, "The redundancy of source coding with a fidelity criterion-Part I: Known statistics," IEEE Trans. Inform. Theory, vol. 43, pp. 71-91, Jan. 1997.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 71-91
    • Zhang, Z.1    Yang, E.-H.2    Wei, V.K.3
  • 40
    • 0000607227 scopus 로고
    • Coding of sources with unknown statistics-Part II: Distortion relative to a fidelity criterion
    • May
    • J. Ziv, "Coding of sources with unknown statistics-Part II: Distortion relative to a fidelity criterion," IEEE Trans. Inform. Theory, vol. IT-18, pp. 389-394, May 1972.
    • (1972) IEEE Trans. Inform. Theory , vol.IT-18 , pp. 389-394
    • Ziv, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.