Abstract
A combination of a transformation algorithm between some Stochastic Context-Free Grammars and the Inside-Outside algorithm allows us to define a method for the estimation of the rule probabilities of Stochastic Context-Free Grammars with the same time complexity as the Inside-Outside algorithm. The transformation algorithm relates Stochastic Context-Free Grammars, whose characteristic grammar is proper and does not have single rules, to Stochastic Context-Free Grammars in Chomsky Normal Form
Work partially supported by the Spanish CICYT under grant TIC 1026/92-C02
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References
A.V.Aho; J.D.Ullman: “The Theory of Parsing, Translation and Compiling”. Vol. 1. Prentice-Hall. 1972.
J.K.Baker: “Trainable Grammars for Speech Recognition”. 50th Anniversary Celebration of the Acoustical Society of America, pp. 31–35. June 1979.
L.E.Baum, G.R.Sell: “Growth Transformations for Functions on Manifolds”. Pacific Journal of Mathematics. Vol. 27 (2), pp. 211–227. 1969.
L.E.Baum: “An Inequality and Associated Maximization Technique in Statistical Estimation for Probabilistic Functions of Markov Processes”. Inequalities. Vol. 3, pp. 1–8. 1972.
F.Casacuberta: “Growth Transformations for Probabilistic Functions of Stochastic Grammars”. Submitted for publication. 1994.
L.Dodd: “The Inside/Outside Algorithm: Grammatical Inference applied to Stochastic Context-Free Grammars”. Tec. Report RSRE Memorandum No. 4160. 1988.
K.S.Fu: “Syntactic Pattern Recognition and Applications”. Prentice-Hall. 1982.
R.C.Gonzalez, M.G.Thomason: “Syntactic Pattern Recognition: an Introduction”. Ed. Addison-Wesley. 1978.
F.R.Jelinek, J.D.Lafferty, R.L.Mercer: “Basic Methods of Probabilistic Context-Free Grammars” in “Speech Recognition and Understanding”. Eds. P.Laface and R. De Mori. Springer Verlag, pp. 345–360. 1992.
K.Lari and S.J.Young: “The Estimation of Stochastic Context-Free Grammars using the Inside-Outside Algorithm”. Computer Speech and Language. Vol. 4, pp. 35–56. 1990.
H.Ney: “Stochastic Grammars and Pattern Recognition” in “Speech Recognition and Understanding”. Eds. P.Laface and R. De Mori. Springer Verlag, pp. 319–344. 1992.
E.Vidal, F.Casacuberta, P.García: “Syntactic Learning Techniques in Language Modeling and Acoustic-Phonetic Decoding” in “New Advances and Trends in Speech Recognition and Coding”. Springer-Verlag. In press. 1994.
J.Kupiec: “Hidden Markov Estimation for Unrestricted Stochastic Context-Free Grammars”. Proc. International Conference on Acoustic, Speech and Signal Processing. Vol. I. pp. 177–180. 1992.
L.R.Rabiner: “A Tutorial on Hidden Markov Models and Selected Applications in Speech Recognition”. Proc. IEEE. Vol.77 No. 2. pp. 257–286. 1989.
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© 1994 Springer-Verlag Berlin Heidelberg
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Casacuberta, F. (1994). Statistical estimation of Stochastic Context-Free Grammars using the Inside-Outside algorithm and a transformation on grammars. In: Carrasco, R.C., Oncina, J. (eds) Grammatical Inference and Applications. ICGI 1994. Lecture Notes in Computer Science, vol 862. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58473-0_142
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DOI: https://doi.org/10.1007/3-540-58473-0_142
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