Theoretical aspects of syntactic pattern recognition

Abstract In this paper, a pessimistic view of syntactic pattern recognition is developed. This paper describes several aspects of syntactic pattern recognition from various points of view including the relation between the set of patterns and grammars, the semantics of a grammar, the expressive power of a grammar, grammatical inference, comparison between a syntactic method and a statistical method and a comparison of computing costs between a syntactic method and a prototype matching method. In every aspect a syntactic method faced with difficulties that are very hard to overcome.

[1]  King-sun Fu,et al.  Error-Correcting Tree Automata for Syntactic Pattern Recognition , 1978, IEEE Transactions on Computers.

[2]  Kuo-Chung Tai,et al.  The Tree-to-Tree Correction Problem , 1979, JACM.

[3]  Alan C. Shaw,et al.  A Formal Picture Description Scheme as a Basis for Picture Processing Systems , 1969, Inf. Control..

[4]  Horst Bunke,et al.  Syntactic and structural pattern recognition : theory and applications , 1990 .

[5]  Azriel Rosenfeld,et al.  Picture languages: Formal models for picture recognition , 1979 .

[6]  Alberto Sanfeliu,et al.  Structural Pattern Analysis , 1990 .

[7]  Suzanne Collin,et al.  Syntactic Analysis of Technical Drawing Dimensions , 1994, Int. J. Pattern Recognit. Artif. Intell..

[8]  King-Sun Fu,et al.  Syntactic Pattern Recognition And Applications , 1968 .

[9]  Rangasami L. Kashyap,et al.  Character Recognition Based on Attribute-Dependent Programmed Grammar , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  Horst Bunke,et al.  Advances In Structural And Syntactic Pattern Recognition , 1993 .

[11]  Michael J. Fischer,et al.  The String-to-String Correction Problem , 1974, JACM.

[12]  Giorgio Satta,et al.  Optimal Probabilistic Evaluation Functions for Search Controlled by Stochastic Context-Free Grammars , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  Tamotsu Kasai,et al.  A Method for the Correction of Garbled Words Based on the Levenshtein Metric , 1976, IEEE Transactions on Computers.

[14]  Shin-Yee Lu.  A Tree-to-Tree Distance and Its Application to Cluster Analysis , 1979, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[15]  Emmanuel Skordalakis,et al.  Syntactic Pattern Recognition of the ECG , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[16]  King-Sun Fu,et al.  A Step Towards Unification of Syntactic and Statistical Pattern Recognition , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[17]  Jeffrey D. Ullman,et al.  Formal languages and their relation to automata , 1969, Addison-Wesley series in computer science and information processing.

[18]  King-Sun Fu,et al.  Syntactic Methods in Pattern Recognition , 1974, IEEE Transactions on Systems, Man, and Cybernetics.

[19]  Patrick Shen-pei Wang,et al.  An application of array grammars to clustering analysis for syntactic patterns , 1984, Pattern Recognit..

[20]  David Sankoff,et al.  Time Warps, String Edits, and Macromolecules: The Theory and Practice of Sequence Comparison , 1983 .

[21]  Eiichi Tanaka,et al.  Error-Correcting Parsers for Formal Languages , 1978, IEEE Transactions on Computers.

[22]  S. C. Kleene,et al.  Introduction to Metamathematics , 1952 .

[23]  Rani Siromoney,et al.  On Equal Matrix Languages , 1969, Inf. Control..

[24]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[25]  Gordon Lyon,et al.  Syntax-directed least-errors analysis for context-free languages , 1974, Commun. ACM.

[26]  C. Cook,et al.  A chomsky hierarchy of isotonic array grammars and languages , 1978 .

[27]  Ming Zhao.  Two-dimensional extended attribute grammar method for the recognition of hand-printed chinese characters , 1990, Pattern Recognit..

[28]  Robert McNaughton,et al.  Parenthesis Grammars , 1967, JACM.

[29]  Theodosios Pavlidis,et al.  Structural pattern recognition , 1977 .

[30]  Alfred V. Aho,et al.  The Theory of Parsing, Translation, and Compiling , 1972 .

[31]  Taylor L. Booth,et al.  Grammatical Inference: Introduction and Survey - Part I , 1975, IEEE Trans. Syst. Man Cybern..

[32]  R. M. Wharton.  Approximate Language Identification , 1974, Inf. Control..

[33]  Marc Parizeau,et al.  Fuzzy-Shape Grammars for Cursive Script Recognition , 1997 .

[34]  Horst Bunke,et al.  Syntactic and Structural Pattern Recognition , 1988, NATO ASI Series.

[35]  Peter H. Sellers,et al.  An Algorithm for the Distance Between Two Finite Sequences , 1974, J. Comb. Theory, Ser. A.

[36]  P. S. Wang.  Array Grammars, Patterns and Recognizers , 1989, Array Grammars, Patterns and Recognizers.

[37]  Mariusz Flasinski.  On the parsing of deterministic graph languages for syntactic pattern recognition , 1993, Pattern Recognit..

[38]  M. Tomita.  Generalized LR Parsing , 1991, Springer US.

[39]  Hans Hermes,et al.  Enumerability, decidability, computability , 1966 .

[40]  Tsuyoshi Yamamoto,et al.  A new parsing scheme for plex grammars , 1990, Pattern Recognit..

[41]  Leslie G. Valiant,et al.  General Context-Free Recognition in Less than Cubic Time , 1975, J. Comput. Syst. Sci..

[42]  E. Mark Gold,et al.  Language Identification in the Limit , 1967, Inf. Control..

[43]  Hermann Ney,et al.  Dynamic programming parsing for context-free grammars in continuous speech recognition , 1991, IEEE Trans. Signal Process..

[44]  Eiichi Tanaka,et al.  The Tree-to-Tree Editing Problem , 1988, Int. J. Pattern Recognit. Artif. Intell..