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Volumn , Issue , 2014, Pages 1-287

Hidden Markov processes: Theory and applications to biology

Author keywords

[No Author keywords available]

Indexed keywords

BIOINFORMATICS; COMPUTATION THEORY; INFORMATION THEORY; MAXIMUM LIKELIHOOD ESTIMATION; MOLECULAR BIOLOGY; VITERBI ALGORITHM;

EID: 84937390640     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (44)

References (145)
  • 2
    • 0035704542 scopus 로고    scopus 로고
    • Regular languages are testable with a constant number of queries
    • N. Alon, M. Krivelevich, I. Newman, and M. Szegedy, "Regular languages are testable with a constant number of queries," SIAM Journal on Computing, 30, 1842-1862, 2001.
    • (2001) SIAM Journal on Computing , vol.30 , pp. 1842-1862
    • Alon, N.1    Krivelevich, M.2    Newman, I.3    Szegedy, M.4
  • 3
    • 84937396114 scopus 로고    scopus 로고
    • The statistics of similarity sequence scores
    • S. F. Altschul, "The statistics of similarity sequence scores," http://www.ncbi.nlm.nih.gov/BLAST/tutorial/Altschul-1.html.
    • Altschul, S.F.1
  • 7
    • 0033149340 scopus 로고    scopus 로고
    • From Wiener to hidden Markov models
    • June
    • B. D. O. Anderson, "From Wiener to hidden Markov models," IEEE Control Systems Magazine, 19(6), 41-51, June 1999.
    • (1999) IEEE Control Systems Magazine , vol.19 , Issue.6 , pp. 41-51
    • Anderson, B.D.O.1
  • 10
    • 0016615529 scopus 로고
    • Decoding for channels with insertions, deletions and substitutions with applications to speech recognition
    • July
    • L. R. Bahl and F. Jelinek, "Decoding for channels with insertions, deletions and substitutions with applications to speech recognition," IEEE Transactions on Information Theory, 21(4), 404-411, July 1975.
    • (1975) IEEE Transactions on Information Theory , vol.21 , Issue.4 , pp. 404-411
    • Bahl, L.R.1    Jelinek, F.2
  • 12
    • 0000342467 scopus 로고
    • Statistical inference for probabilistic functions of finite state Markov chains
    • L. E. Baum and T. Petrie, "Statistical inference for probabilistic functions of finite state Markov chains," Annals of Mathematical Statistics, 37(2), 1554-1563, 1966.
    • (1966) Annals of Mathematical Statistics , vol.37 , Issue.2 , pp. 1554-1563
    • Baum, L.E.1    Petrie, T.2
  • 13
    • 0000353178 scopus 로고
    • A maximization technique occurring in the statistical analysis of probabilistic functions of Markov chains
    • L. E. Baum, T. Petrie, G. Soules, and N. Weiss, "A maximization technique occurring in the statistical analysis of probabilistic functions of Markov chains," Annals of Mathematical Statistics, 41(1), 164-171, 1970.
    • (1970) Annals of Mathematical Statistics , vol.41 , Issue.1 , pp. 164-171
    • Baum, L.E.1    Petrie, T.2    Soules, G.3    Weiss, N.4
  • 17
    • 84887983173 scopus 로고    scopus 로고
    • An estimation of the number of cells in the human body
    • November-December
    • E. Bianconi, A. Provesan, F. Facchin, et al., "An estimation of the number of cells in the human body," Annals of Human Biology, 40(6), 463-471, November-December 2013.
    • (2013) Annals of Human Biology , vol.40 , Issue.6 , pp. 463-471
    • Bianconi, E.1    Provesan, A.2    Facchin, F.3
  • 20
    • 0001259206 scopus 로고
    • On the identifiability problem for functions of finite Markov chains
    • D. Blackwell and L. Koopmans, "On the identifiability problem for functions of finite Markov chains," Annals of Mathematical Statistics, 28, 1011-1015, 1957.
    • (1957) Annals of Mathematical Statistics , vol.28 , pp. 1011-1015
    • Blackwell, D.1    Koopmans, L.2
  • 21
    • 0037931756 scopus 로고    scopus 로고
    • Undecidable problems for probabilistic automata of fixed dimension
    • V. Blondel and V. Catarini, "Undecidable problems for probabilistic automata of fixed dimension," Theory of Computing Systems, 36, 231-245, 2003.
    • (2003) Theory of Computing Systems , vol.36 , pp. 231-245
    • Blondel, V.1    Catarini, V.2
  • 22
    • 0001531440 scopus 로고
    • The individual ergodic theorem of information theory
    • L. Breiman, "The individual ergodic theorem of information theory," Annals of Mathematical Statistics, 28, 809-811, 1957.
    • (1957) Annals of Mathematical Statistics , vol.28 , pp. 809-811
    • Breiman, L.1
  • 23
    • 84937486442 scopus 로고
    • SIAM Classics in Applied Mathematics, SIAM, Philadelphia
    • L. Breiman, Probability, SIAM Classics in Applied Mathematics, No. 7, SIAM, Philadelphia, 1992.
    • (1992) Probability , Issue.7
    • Breiman, L.1
  • 24
    • 84937486443 scopus 로고    scopus 로고
    • available free at
    • T. Brown Jr., Nucleic Acids Book, available free at http://www.atdbio.com/nucleic-acids-book.
    • Nucleic Acids Book
    • Brown, T.1
  • 25
    • 0031586003 scopus 로고    scopus 로고
    • Prediction of complete gene structure in human genomic DNA
    • C. Burge and S. Karlin, "Prediction of complete gene structure in human genomic DNA," Journal of Molecular Biology, 268, 78-94, 1997.
    • (1997) Journal of Molecular Biology , vol.268 , pp. 78-94
    • Burge, C.1    Karlin, S.2
  • 27
    • 0009753592 scopus 로고
    • Identification of state-calculable functions of finite Markov chains
    • J. W. Carlyle, "Identification of state-calculable functions of finite Markov chains," Annals of Mathematical Statistics, 38, 201-205, 1967.
    • (1967) Annals of Mathematical Statistics , vol.38 , pp. 201-205
    • Carlyle, J.W.1
  • 28
    • 0345551036 scopus 로고
    • Stochastic finite-state system theory
    • Chapter 10, L. Zadeh and E. Polak (Eds.), McGraw-Hill, New York
    • J. W. Carlyle, "Stochastic finite-state system theory," Chapter 10, in System Theory, L. Zadeh and E. Polak (Eds.), McGraw-Hill, New York, 1969.
    • (1969) System Theory
    • Carlyle, J.W.1
  • 29
    • 26944447088 scopus 로고    scopus 로고
    • Large deviations for empirical entropies of g-measures
    • November
    • J.-R. Chazottes and D. Gabrielli, "Large deviations for empirical entropies of g-measures," Nonlinearity, 18(6), 2545-2563, November 2005.
    • (2005) Nonlinearity , vol.18 , Issue.6 , pp. 2545-2563
    • Chazottes, J.-R.1    Gabrielli, D.2
  • 34
    • 0019590746 scopus 로고
    • The error exponent for the noiseless encoding of finite ergodic Markov sources
    • July
    • L. D. Davisson, G. Longo, and A. Sgarro, "The error exponent for the noiseless encoding of finite ergodic Markov sources," IEEE Transactions on Information Theory, 27(4), 431-438, July 1981.
    • (1981) IEEE Transactions on Information Theory , vol.27 , Issue.4 , pp. 431-438
    • Davisson, L.D.1    Longo, G.2    Sgarro, A.3
  • 35
    • 34147132825 scopus 로고    scopus 로고
    • Identifying bacterial genes and endosymbiont DNA with Glimmer
    • A. L. Delcher, K. A. Bratke, E. C. Powers, and S. L. Salzberg, "Identifying bacterial genes and endosymbiont DNA with Glimmer," Bioinformatics, 23(6), 673-679, 2007.
    • (2007) Bioinformatics , vol.23 , Issue.6 , pp. 673-679
    • Delcher, A.L.1    Bratke, K.A.2    Powers, E.C.3    Salzberg, S.L.4
  • 37
    • 0000387249 scopus 로고
    • Strong limit theorems of empirical functionals for large exceedances of partial sums of i.i.d. variables
    • A. Dembo and S. Karlin, "Strong limit theorems of empirical functionals for large exceedances of partial sums of i.i.d. variables," Annals of Probability, 19(4), 1737-1755, 1991.
    • (1991) Annals of Probability , vol.19 , Issue.4 , pp. 1737-1755
    • Dembo, A.1    Karlin, S.2
  • 38
    • 0000387250 scopus 로고
    • Strong limit theorems of empirical functionals for large exceedances of partial sums of Markov variables
    • A. Dembo and S. Karlin, "Strong limit theorems of empirical functionals for large exceedances of partial sums of Markov variables," Annals of Probability, 19(4), 1756-1767, 1991.
    • (1991) Annals of Probability , vol.19 , Issue.4 , pp. 1756-1767
    • Dembo, A.1    Karlin, S.2
  • 39
    • 0000526801 scopus 로고
    • Critical phenomena for sequence matching with scoring
    • A. Dembo, S. Karlin, and O. Zeitouni, "Critical phenomena for sequence matching with scoring," Annals of Probability, 22(4), 1993-2021, 1994.
    • (1994) Annals of Probability , vol.22 , Issue.4 , pp. 1993-2021
    • Dembo, A.1    Karlin, S.2    Zeitouni, O.3
  • 40
    • 0000526802 scopus 로고
    • Limit distribution of maximal non-aligned two-sequence segmental score
    • A. Dembo, S. Karlin, and O. Zeitouni, "Limit distribution of maximal non-aligned two-sequence segmental score," Annals of Probability, 22(4), 2022-2039, 1994.
    • (1994) Annals of Probability , vol.22 , Issue.4 , pp. 2022-2039
    • Dembo, A.1    Karlin, S.2    Zeitouni, O.3
  • 44
    • 0009798622 scopus 로고
    • Suficient conditions for a stationary process to be a function of a Markov chain
    • S. W. Dharmadhikari, "Suficient conditions for a stationary process to be a function of a Markov chain," Annals of Mathematical Statistics, 34, 1033-1041, 1963.
    • (1963) Annals of Mathematical Statistics , vol.34 , pp. 1033-1041
    • Dharmadhikari, S.W.1
  • 45
    • 0009797390 scopus 로고
    • A characterization of a class of functions of finite Markov chains
    • S. W. Dharmadhikari, "A characterization of a class of functions of finite Markov chains," Annals of Mathematical Statistics, 36, 524-528, 1965.
    • (1965) Annals of Mathematical Statistics , vol.36 , pp. 524-528
    • Dharmadhikari, S.W.1
  • 46
    • 0344688922 scopus 로고
    • A note on exchangeable processes with states of finite rank
    • S. W. Dharmadhikari, "A note on exchangeable processes with states of finite rank," Annals of Mathematical Statistics, 40(6), 2207-2208, 1969.
    • (1969) Annals of Mathematical Statistics , vol.40 , Issue.6 , pp. 2207-2208
    • Dharmadhikari, S.W.1
  • 47
    • 0344688921 scopus 로고
    • Some regular and non-regular functions of finite Markov chains
    • S. W. Dharmadhikari and M. G. Nadkarni, "Some regular and non-regular functions of finite Markov chains," Annals of Mathematical Statistics, 41(1), 207-213, 1970.
    • (1970) Annals of Mathematical Statistics , vol.41 , Issue.1 , pp. 207-213
    • Dharmadhikari, S.W.1    Nadkarni, M.G.2
  • 48
    • 45149139506 scopus 로고
    • Proof of a conjecture by Erdös and Graham concerning the problem of Frobenius
    • J. Dixmier, "Proof of a conjecture by Erdös and Graham concerning the problem of Frobenius," Journal of Number Theory, 34, 198-209, 1990.
    • (1990) Journal of Number Theory , vol.34 , pp. 198-209
    • Dixmier, J.1
  • 49
    • 0031743421 scopus 로고    scopus 로고
    • Profile hidden Markov models
    • S. R. Eddy, "Profile hidden Markov models," Bioinformatics, 14(9), 755-763, 1998.
    • (1998) Bioinformatics , vol.14 , Issue.9 , pp. 755-763
    • Eddy, S.R.1
  • 56
    • 0344688919 scopus 로고
    • Functions of processes with Markovian states
    • M. Fox and H. Rubin, "Functions of processes with Markovian states," Annals of Mathematical Statistics, 39, 938-946, 1968.
    • (1968) Annals of Mathematical Statistics , vol.39 , pp. 938-946
    • Fox, M.1    Rubin, H.2
  • 60
    • 0001478658 scopus 로고
    • The identiábility problem for functions of Markov chains
    • E. J. Gilbert, "The identiábility problem for functions of Markov chains," Annals of Mathematical Statistics, 30, 688-697, 1959.
    • (1959) Annals of Mathematical Statistics , vol.30 , pp. 688-697
    • Gilbert, E.J.1
  • 64
    • 0000582955 scopus 로고
    • On stochastic processes derived from Markov chains
    • A. Heller, "On stochastic processes derived from Markov chains," Annals of Mathematics, 36, 1286-1291, 1965.
    • (1965) Annals of Mathematics , vol.36 , pp. 1286-1291
    • Heller, A.1
  • 65
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • W. Hoefiding, "Probability inequalities for sums of bounded random variables," Journal of the American Statistical Association, 58, 13-30, 1963.
    • (1963) Journal of the American Statistical Association , vol.58 , pp. 13-30
    • Hoefiding, W.1
  • 66
    • 0344257269 scopus 로고    scopus 로고
    • Realization of continuous-time positive linear systems
    • J. M. van den Hof, "Realization of continuous-time positive linear systems," Systems and Control Letters, 31, 243-253, 1997.
    • (1997) Systems and Control Letters , vol.31 , pp. 243-253
    • van den Hof, J.M.1
  • 68
    • 0004261516 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, RI
    • F. Den Hollander, Large Deviations, American Mathematical Society, Providence, RI, 2000.
    • (2000) Large Deviations
    • Den Hollander, F.1
  • 69
    • 2042437650 scopus 로고    scopus 로고
    • Initial sequencing and analysis of the human genome
    • February
    • International Human Genome Research Consortium, "Initial sequencing and analysis of the human genome," Nature, 409, 860-921, February 2001.
    • (2001) Nature , vol.409 , pp. 860-921
  • 70
    • 0026837871 scopus 로고
    • Identiábility of hidden Markov information sources and their minimum degrees of freedom
    • H. Ito, S. Amari, and K. Kobayashi, "Identiábility of hidden Markov information sources and their minimum degrees of freedom," IEEE Transactions on Information Theory, 38, 324-333, 1992.
    • (1992) IEEE Transactions on Information Theory , vol.38 , pp. 324-333
    • Ito, H.1    Amari, S.2    Kobayashi, K.3
  • 72
    • 0022018101 scopus 로고
    • A probabilistic distance measure for hidden Markov models
    • February
    • B-H. Juang and L. R. Rabiner, "A probabilistic distance measure for hidden Markov models," AT&T Technical Journal, 64(2), 391-408, February 1985.
    • (1985) AT&T Technical Journal , vol.64 , Issue.2 , pp. 391-408
    • Juang, B.-H.1    Rabiner, L.R.2
  • 73
    • 51249179496 scopus 로고
    • Random Markov processes and uniform martingales
    • S. Kalikow, "Random Markov processes and uniform martingales," Israel Journal of Mathematics, 71(1), 33-54, 1990.
    • (1990) Israel Journal of Mathematics , vol.71 , Issue.1 , pp. 33-54
    • Kalikow, S.1
  • 74
    • 0025259313 scopus 로고
    • Methods for assessing the statistical significance of molecular sequence features by using general scoring schemes
    • S. Karlin and S. F. Altschul, "Methods for assessing the statistical significance of molecular sequence features by using general scoring schemes," Proceedings of the National Academy of Sciences, 87, 2264-2268, 1990.
    • (1990) Proceedings of the National Academy of Sciences , vol.87 , pp. 2264-2268
    • Karlin, S.1    Altschul, S.F.2
  • 75
    • 0027175241 scopus 로고
    • Applications and statistics for multiple high-scoring segments in molecular sequences
    • S. Karlin and S. F. Altschul, "Applications and statistics for multiple high-scoring segments in molecular sequences," Proceedings of the National Academy of Sciences, 90, 5873-5877, 1993.
    • (1993) Proceedings of the National Academy of Sciences , vol.90 , pp. 5873-5877
    • Karlin, S.1    Altschul, S.F.2
  • 76
    • 0000586227 scopus 로고
    • Limit distributions of maximal segmental score among Markov-dependent partial sums
    • S. Karlin and A. Dembo, "Limit distributions of maximal segmental score among Markov-dependent partial sums," Advances in Applied Probability, 24(1), 113-140, 1992.
    • (1992) Advances in Applied Probability , vol.24 , Issue.1 , pp. 113-140
    • Karlin, S.1    Dembo, A.2
  • 77
    • 0001102186 scopus 로고
    • Maximal length of common words among random letter sequences
    • S. Karlin and F. Ost, "Maximal length of common words among random letter sequences," Annals of Probability, 16, 535-563, 1988.
    • (1988) Annals of Probability , vol.16 , pp. 535-563
    • Karlin, S.1    Ost, F.2
  • 83
    • 77956964275 scopus 로고    scopus 로고
    • An introduction to hidden Markov models for biological sequences
    • S. Salzberg, D. Searls, and S. Kasif (Eds.), Elsevier, New York
    • A. Krogh, "An introduction to hidden Markov models for biological sequences," in Computational Methods in Molecular Biology, S. Salzberg, D. Searls, and S. Kasif (Eds.), Elsevier, New York, 45-63, 1998.
    • (1998) Computational Methods in Molecular Biology , pp. 45-63
    • Krogh, A.1
  • 84
  • 85
    • 0027944605 scopus 로고
    • A hidden Markov model that finds genes in E. coli DNA
    • A. Krogh, I. S. Mian, and D. Haussler, "A hidden Markov model that finds genes in E. coli DNA," Nucleic Acids Research, 22(22), 4768-4778, 1994.
    • (1994) Nucleic Acids Research , vol.22 , Issue.22 , pp. 4768-4778
    • Krogh, A.1    Mian, I.S.2    Haussler, D.3
  • 86
    • 0013460590 scopus 로고
    • Zur Theorie der Elimination einer Variablen aus zwei algebraischen Gleichungen
    • L. Kronecker, "Zur Theorie der Elimination einer Variablen aus zwei algebraischen Gleichungen," Monatsber. Königl. Preuss. Akad. Wiss. Berlin, 535-600, 1881.
    • (1881) Monatsber. Königl. Preuss. Akad. Wiss. Berlin , pp. 535-600
    • Kronecker, L.1
  • 88
    • 0020718764 scopus 로고
    • A note on the Ziv-Lempel model for compressing individual data sequences
    • G. Langdon, "A note on the Ziv-Lempel model for compressing individual data sequences," IEEE Transactions on Information Theory, 29, 284-287, 1983.
    • (1983) IEEE Transactions on Information Theory , vol.29 , pp. 284-287
    • Langdon, G.1
  • 89
    • 0002300088 scopus 로고
    • A bound for a solution of a linear Diophantine problem
    • M. Lewin, "A bound for a solution of a linear Diophantine problem," Journal of the London Mathematical Society (2), 6, 61-69, 1972.
    • (1972) Journal of the London Mathematical Society , vol.6 , Issue.2 , pp. 61-69
    • Lewin, M.1
  • 90
    • 33947426775 scopus 로고    scopus 로고
    • On divergences and informations in statistics and information theory
    • October
    • F. Liese and I. Vajda, "On divergences and informations in statistics and information theory," IEEE Transactions on Information Theory, 52(10), 4394-4412, October 2006.
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.10 , pp. 4394-4412
    • Liese, F.1    Vajda, I.2
  • 91
    • 0014022585 scopus 로고
    • Studies on polynucleotides. LI. Syntheses of the 64 possible ribotrinucleotides derived from the four major ribomononucleotides
    • R. Lohrmann, D. Söll, H. Hayatsu, E. Ohtsuka, and H. G. Khorana, "Studies on polynucleotides. LI. Syntheses of the 64 possible ribotrinucleotides derived from the four major ribomononucleotides," Journal of the American Chemical Society, 88(4), 819-829, 1966.
    • (1966) Journal of the American Chemical Society , vol.88 , Issue.4 , pp. 819-829
    • Lohrmann, R.1    Söll, D.2    Hayatsu, H.3    Ohtsuka, E.4    Khorana, H.G.5
  • 92
    • 84910947126 scopus 로고
    • Studies on polynucleotides, lix. Further codon assignments from amino acid incorporations directed by ribopolynucleotides containing trinucleotide sequences
    • A. R. Morgan, R. D. Wells, and H. G. Khorana, "Studies on polynucleotides, lix. Further codon assignments from amino acid incorporations directed by ribopolynucleotides containing trinucleotide sequences," Proceedings of the National Academy of Sciences, 56(6) , 1899-1906, 1966.
    • (1966) Proceedings of the National Academy of Sciences , vol.56 , Issue.6 , pp. 1899-1906
    • Morgan, A.R.1    Wells, R.D.2    Khorana, H.G.3
  • 93
    • 0032519353 scopus 로고    scopus 로고
    • GeneMark.hmm: New solutions for gene finding
    • A. V. Lukashin and M. Borodvsky, "GeneMark.hmm: New solutions for gene finding," Nucleic Acids Research, 26(4), 1107- 1115, 1998.
    • (1998) Nucleic Acids Research , vol.26 , Issue.4 , pp. 1107-1115
    • Lukashin, A.V.1    Borodvsky, M.2
  • 94
    • 13244268374 scopus 로고    scopus 로고
    • An empirical analysis of training protocols for probabilistic gene finders
    • available at, 21 December
    • W. H. Majoros and S. L. Salzberg, "An empirical analysis of training protocols for probabilistic gene finders," BMC Bioinformatics, available at http://www.biomedcentral.com/1471-2105/5/206, 21 December 2004.
    • (2004) BMC Bioinformatics
    • Majoros, W.H.1    Salzberg, S.L.2
  • 95
    • 0000506938 scopus 로고
    • The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
    • P. Massart, "The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality," Annals of Probability, 18(3), 1269-1283, 1990.
    • (1990) Annals of Probability , vol.18 , Issue.3 , pp. 1269-1283
    • Massart, P.1
  • 96
    • 0001413858 scopus 로고
    • The basic theorems of information theory
    • B. McMillan, "The basic theorems of information theory," Annals of Mathematical Statistics, 24(2), 196-219, 1953.
    • (1953) Annals of Mathematical Statistics , vol.24 , Issue.2 , pp. 196-219
    • McMillan, B.1
  • 98
    • 0014757386 scopus 로고
    • A general method applicable to the search for similarities in the amino acid sequences of two proteins
    • S. B. Needleman and C. D. Wunsch, "A general method applicable to the search for similarities in the amino acid sequences of two proteins," Journal of Molecular Biology, 48(3), 443-453, 1970.
    • (1970) Journal of Molecular Biology , vol.48 , Issue.3 , pp. 443-453
    • Needleman, S.B.1    Wunsch, C.D.2
  • 99
    • 0001358802 scopus 로고
    • RNA codewords and protein synthesis
    • 25 September
    • M. Nirenberg and P. Leder, "RNA codewords and protein synthesis," Science, 145(3639), 1399-1407, 25 September 1964.
    • (1964) Science , vol.145 , Issue.3639 , pp. 1399-1407
    • Nirenberg, M.1    Leder, P.2
  • 100
    • 0003781238 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, UK
    • J. R. Norris, Markov Chains, Cambridge University Press, Cambridge, UK, 1997.
    • (1997) Markov Chains
    • Norris, J.R.1
  • 101
    • 12844258978 scopus 로고    scopus 로고
    • LD-SPatt: Large deviations statistics for patterns on Markov chains
    • G. Nuel, "LD-SPatt: Large deviations statistics for patterns on Markov chains," Journal of Computational Biology, 11(6), 1023-1033, 2004.
    • (2004) Journal of Computational Biology , vol.11 , Issue.6 , pp. 1023-1033
    • Nuel, G.1
  • 102
    • 0000486749 scopus 로고
    • How sampling reveals a process
    • D. S. Ornstein and B. Weiss, "How sampling reveals a process," Annals of Probability, 18(3), 905-930, 1990.
    • (1990) Annals of Probability , vol.18 , Issue.3 , pp. 905-930
    • Ornstein, D.S.1    Weiss, B.2
  • 103
    • 0000790899 scopus 로고
    • Zur Theorie der Matrizen
    • O. Perron, "Zur Theorie der Matrizen," Mathematische Annalen, 64, 248-263, 1907.
    • (1907) Mathematische Annalen , vol.64 , pp. 248-263
    • Perron, O.1
  • 104
    • 0035282695 scopus 로고    scopus 로고
    • GeneSplicer: A new computational method for splice site detection
    • M. Pertea, X. Lin, and S. L. Salzberg, "GeneSplicer: A new computational method for splice site detection," Nucleic Acids Research, 29(5), 1185-1190, 2001.
    • (2001) Nucleic Acids Research , vol.29 , Issue.5 , pp. 1185-1190
    • Pertea, M.1    Lin, X.2    Salzberg, S.L.3
  • 106
    • 0041392945 scopus 로고
    • On the internal structure of finite-state stochastic processes
    • R. Mohler and A. Ruberti (Eds.), Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, Heidelberg
    • G. Picci, "On the internal structure of finite-state stochastic processes," in Recent Developments in Variable Structure Systems, R. Mohler and A. Ruberti (Eds.), Lecture Notes in Economics and Mathematical Systems, No. 162, Springer-Verlag, Heidelberg, 1978.
    • (1978) Recent Developments in Variable Structure Systems , Issue.162
    • Picci, G.1
  • 108
    • 0024610919 scopus 로고
    • A tutorial on hidden Markov models and selected applications in speech recognition
    • February
    • L. W. Rabiner, "A tutorial on hidden Markov models and selected applications in speech recognition," Proceedings of the IEEE, 77(2), 257-285, February 1989.
    • (1989) Proceedings of the IEEE , vol.77 , Issue.2 , pp. 257-285
    • Rabiner, L.W.1
  • 110
    • 84937486444 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R. T. Rockafellar, Convexity, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convexity
    • Rockafellar, R.T.1
  • 113
    • 0032518163 scopus 로고    scopus 로고
    • Microbial gene identification using interpolated Markov models
    • S. L. Salzberg, A. L. Delcher, S. Kasif, and O. White, "Microbial gene identification using interpolated Markov models," Nucleic Acids Research, 26(2), 544-548, 1998.
    • (1998) Nucleic Acids Research , vol.26 , Issue.2 , pp. 544-548
    • Salzberg, S.L.1    Delcher, A.L.2    Kasif, S.3    White, O.4
  • 115
    • 0003474035 scopus 로고    scopus 로고
    • Norton, New York, reissue of 1975 edition
    • A. Sayre, Rosalind Franklin and DNA, Norton, New York, 2000 (reissue of 1975 edition).
    • (2000) Rosalind Franklin and DNA
    • Sayre, A.1
  • 117
    • 84940644968 scopus 로고
    • A mathematical theory of communication
    • 623-656, July, October
    • C. E. Shannon, "A mathematical theory of communication," Bell System Technical Journal, 27, 379-423, 623-656, July, October 1948.
    • (1948) Bell System Technical Journal , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 119
    • 0019887799 scopus 로고
    • Identification of common molecular subsequences
    • T. F. Smith and M. S. Waterman, "Identification of common molecular subsequences," Journal of Molecular Biology, 147, 195-197, 1981.
    • (1981) Journal of Molecular Biology , vol.147 , pp. 195-197
    • Smith, T.F.1    Waterman, M.S.2
  • 120
    • 0342580082 scopus 로고
    • On certain questions of rationality and decidability
    • E. D. Sontag, "On certain questions of rationality and decidability," Journal of Computer and System Science, 11, 375-381, 1975.
    • (1975) Journal of Computer and System Science , vol.11 , pp. 375-381
    • Sontag, E.D.1
  • 122
    • 0036137327 scopus 로고    scopus 로고
    • A probabilistic method for identifying start codons in bacterial genomes
    • B. E. Suzek, M. D. Ermolaeva, M. Schreiber, and S. L. Salzberg, "A probabilistic method for identifying start codons in bacterial genomes," Bioinformatics, 17(12), 1123-1130, 2001.
    • (2001) Bioinformatics , vol.17 , Issue.12 , pp. 1123-1130
    • Suzek, B.E.1    Ermolaeva, M.D.2    Schreiber, M.3    Salzberg, S.L.4
  • 125
    • 0035895505 scopus 로고    scopus 로고
    • The sequence of the human genome
    • 16 February
    • J. C. Venter, M. D. Adams, E. W. Myers, et al., "The sequence of the human genome," Science, 291, 1304-1351, 16 February 2001.
    • (2001) Science , vol.291 , pp. 1304-1351
    • Venter, J.C.1    Adams, M.D.2    Myers, E.W.3
  • 129
    • 33847226660 scopus 로고    scopus 로고
    • Convergence of empirical means with alphamixing input sequences, and an application to PAC learning
    • Seville, Spain
    • M. Vidyasagar, "Convergence of empirical means with alphamixing input sequences, and an application to PAC learning," Proceedings of the IEEE Conference on Decision and Control, Seville, Spain, 2005.
    • (2005) Proceedings of the IEEE Conference on Decision and Control
    • Vidyasagar, M.1
  • 130
    • 33847243640 scopus 로고    scopus 로고
    • The realization problem for hidden Markov models: The complete realization problem
    • Seville, Spain
    • M. Vidyasagar, "The realization problem for hidden Markov models: The complete realization problem," Proceedings of the IEEE Conference on Decision and Control, Seville, Spain, 2005.
    • (2005) Proceedings of the IEEE Conference on Decision and Control
    • Vidyasagar, M.1
  • 131
    • 39549123773 scopus 로고    scopus 로고
    • The 4M (Mixed Memory Markov Model) algorithm for stochastic modelling over a finite alphabet with applications to gene-finding algorithms
    • Kyoto, Japan, July
    • M. Vidyasagar, "The 4M (Mixed Memory Markov Model) algorithm for stochastic modelling over a finite alphabet with applications to gene-finding algorithms," Proceedings of the Symposium on the Mathematical Theory of Networks and Systems, Kyoto, Japan, 443-459, July 2006.
    • (2006) Proceedings of the Symposium on the Mathematical Theory of Networks and Systems , pp. 443-459
    • Vidyasagar, M.1
  • 133
    • 80053926790 scopus 로고    scopus 로고
    • The complete realization problem for hidden Markov models: A survey and some new results
    • M. Vidyasagar, "The complete realization problem for hidden Markov models: A survey and some new results," Mathematics of Control, Signals and Systems, 23(1), 1-65, 2011.
    • (2011) Mathematics of Control, Signals and Systems , vol.23 , Issue.1 , pp. 1-65
    • Vidyasagar, M.1
  • 134
    • 39849101337 scopus 로고    scopus 로고
    • The 4M (mixed memory Markov model) algorithm for finding genes in prokaryotic genomes
    • January
    • M. Vidyasagar, S. S. Mande, Ch. V. S. K. Reddy, and V. R. Raja Rao, "The 4M (mixed memory Markov model) algorithm for finding genes in prokaryotic genomes," IEEE Transactions on Automatic Control, 53(1), 26-27, January 2008.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.1 , pp. 26-27
    • Vidyasagar, M.1    Mande, S.S.2    Reddy, C.V.S.K.3    Raja Rao, V.R.4
  • 135
    • 84891826362 scopus 로고    scopus 로고
    • An elementary derivation of the large deviation rate function for finite state Markov processes
    • January
    • M. Vidyasagar, "An elementary derivation of the large deviation rate function for finite state Markov processes," Asian Journal of Control, 16(1), 1-19, January 2014.
    • (2014) Asian Journal of Control , vol.16 , Issue.1 , pp. 1-19
    • Vidyasagar, M.1
  • 137
    • 45349099441 scopus 로고    scopus 로고
    • Hidden Markov models and the Baum-Welch algorithm
    • December
    • L. R. Welch, "Hidden Markov models and the Baum-Welch algorithm," IEEE Information Theory Society Newsletter, 53(4), 1-24, December 2003.
    • (2003) IEEE Information Theory Society Newsletter , vol.53 , Issue.4 , pp. 1-24
    • Welch, L.R.1
  • 138
    • 0021439618 scopus 로고
    • A technique for high performance data compression
    • T. A. Welch, "A technique for high performance data compression," IEEE Computer, 17(6), 8-19, 1984.
    • (1984) IEEE Computer , vol.17 , Issue.6 , pp. 8-19
    • Welch, T.A.1
  • 139
    • 0000979228 scopus 로고
    • Unzerlegbare, nicht negativen Matrizen
    • H. Wielandt, "Unzerlegbare, nicht negativen Matrizen," Mathematische Zeitschrift, 52, 642-648, 1950.
    • (1950) Mathematische Zeitschrift , vol.52 , pp. 642-648
    • Wielandt, H.1
  • 141
    • 17644388113 scopus 로고    scopus 로고
    • Probabilistic distances between finite-state finite-alphabet hidden Markov models
    • April
    • L. Xie, A. Ugrinovskii, and I. R. Petersen, "Probabilistic distances between finite-state finite-alphabet hidden Markov models," IEEE Transactions on Automatic Control, 50(4), 505-511, April 2005.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.4 , pp. 505-511
    • Xie, L.1    Ugrinovskii, A.2    Petersen, I.R.3
  • 142
    • 70549108054 scopus 로고    scopus 로고
    • Hidden Markov models and their applications in biological sequence analysis
    • B-J. Yoon, "Hidden Markov models and their applications in biological sequence analysis," Current Genomics, 10, 402-415, 2009.
    • (2009) Current Genomics , vol.10 , pp. 402-415
    • Yoon, B.-J.1
  • 143
    • 0036733640 scopus 로고    scopus 로고
    • Computational prediction of eukaryotic proteincoding genes
    • September
    • M. Q. Zhang, "Computational prediction of eukaryotic proteincoding genes," Nature Reviews, 3, 698-710, September 2002.
    • (2002) Nature Reviews , vol.3 , pp. 698-710
    • Zhang, M.Q.1
  • 144
    • 0017493286 scopus 로고
    • A universal algorithm for sequential data compression
    • J. Ziv and A. Lempel, "A universal algorithm for sequential data compression," IEEE Transactions on Information Theory, 23(3), 337-343, 1977.
    • (1977) IEEE Transactions on Information Theory , vol.23 , Issue.3 , pp. 337-343
    • Ziv, J.1    Lempel, A.2
  • 145
    • 0018019231 scopus 로고
    • Compression of sequences via variable rate encoding
    • J. Ziv and A. Lempel, "Compression of sequences via variable rate encoding," IEEE Transactions on Information Theory, 24(5), 530-536, 1978.
    • (1978) IEEE Transactions on Information Theory , vol.24 , Issue.5 , pp. 530-536
    • Ziv, J.1    Lempel, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.