Language processing with dynamic fields

Cognitive Neurodynamics

Volumn 2, Issue 2, 2008, Pages 79-88

  Beim Graben, Peter ^a   Pinotsis, Dimitris ^a   Saddy, Douglas ^a   Potthast, Roland ^a  

^a UNIVERSITY OF READING   (United Kingdom)

Author keywords

Computational psycholinguistics; Dynamic fields; Fock space; Language processing

Indexed keywords

ARTICLE; ELECTROENCEPHALOGRAPHY; ELECTROPHYSIOLOGY; GRAMMAR; LANGUAGE PROCESSING; LINGUISTICS; MATHEMATICAL COMPUTING; MATHEMATICAL PARAMETERS; SIMULATION;

EID: 45449083219     PISSN: 18714080     EISSN: 18714099     Source Type: Journal    
DOI: 10.1007/s11571-008-9042-4     Document Type: Article

References (49)

1. Amari SI (1977) Dynamics of pattern formation in lateral-inhibition type neural fields. Biol Cybern 27:77-87
2. Anderson JR (1995) Cognitive psychology and its implications, 4th edn. W. H. Freeman and Company, New York
3. beim Graben P (2008) Foundations of neurophysics. In: beim Graben P, Zhou C, Thiel M, Kurths J (eds) Lectures in supercomputational neuroscience: dynamics in complex brain networks. Springer Complexity Series. Springer, Berlin, pp 3-48
4. beim Graben P, Kurths J (2008) Simulating global properties of electroencephalograms with minimal random neural networks. Neurocomputing 71(4):999-1007
5. beim Graben P, Gerth S, Saddy D, Potthast R (2007) Fock space representations in neural field theories. In: Biggs N, Bonnet-Bendhia AS, Chamberlain P, Chandler-Wilde S, Cohen G, Haddar H, Joly P, Langdon S, Lunéville E, Pelloni B, Potherat D, Potthast R (eds) Proceedings of Waves 2007. The 8th international conference on mathematical and numerical aspects of waves. Department of Mathematics, University of Reading, Reading, pp 120-122
6. beim Graben P, Gerth S, Vasishth S (2008) Towards dynamical system models of language-related brain potentials. Cogn Neurodynam. doi: 10.1007/s11571-008-9041-5
7. Bornkessel I, Zysset S, Friederici AD, von Cramon DY, Schlesewsky M (2005) Who did what to whom? The neural basis of argument hierarchies during language comprehension. NeuroImage 26:221-233
8. Chomsky N (1957) Syntactic structures. Mouton, Den Haag
9. Christiansen MH (1992) The (non)necessity of recursion in natural language processing. In: Proceedings of the 14th annual conference on Cognitive Science Society, Lawrence Erlbaum Associates, Hillsdale, pp 665-670
10. Christiansen MH, Chater N (1999) Toward a connectionist model of recursion in human linguistic performance. Cogn Sci 23(4):157-205
11. Coombes S, Lord G, Owen M (2003) Waves and bumps in neuronal networks with axo-dendritic synaptic interactions. Physica D 178:219-241
12. Drenhaus H, beim Graben P, Saddy D, Frisch S (2006) Diagnosis and repair of negative polarity constructions in the light of symbolic resonance analysis. Brain Lang 96(3):255-268
13. Edmonds AR (1957) Angular momentum in quantum mechanics. Princeton University Press, Princeton
14. Elman JL (1995) Language as a dynamical system. In: Port RF, van Gelder T (eds) Mind as motion: explorations in the dynamics of cognition. MIT Press, Cambridge, pp 195-223
15. Erlhagen W, Schöner G (2002) Dynamic field theory of movement preparation. Psychol Rev 109(3):545-572
16. Everett DL (2005) Cultural constraints on grammar and cognition in Pirahã - another look at the design features of human language. Curr Anthropol 46(4):621-646
17. Friederici AD (1995) The time course of syntactic activation during language processing: a model based on neuropsychological and neurophysiological data. Brain Lang 50:259-281
18. Garagnani M, Wennekers T, Pulvermuller F (2007) A neuronal model of the language cortex. Neurocomputing 70:1914-1919
19. Haag R (1992) Local quantum physics: fields, particles, algebras. Springer, Berlin
20. Hagoort P (2005) On Broca, brain, and binding: a new framework. Trends Cogn Sci 9(9):416-423
21. Haken H (1983) Synergetics. An introduction, Springer series in synergetics, vol 1, 3rd edn. Springer, Berlin. 1st edition 1977
22. Hauser MD, Chomsky N, Fitch WT (2002) The faculty of language: What is it, who has it, and how did it evolve? Science 298:1569-1579
23. Hopcroft JE, Ullman JD (1979) Introduction to automata theory, languages, and computation. Addison-Wesley, Menlo Park
24. Jirsa VK (2004) Information processing in brain and behavior displayed in large-scale scalp topographies such as EEG and MEG. Int J Bifurcat Chaos 14(2):679-692
25. Jirsa VK, Haken H (1996) Field theory of electromagnetic brain activity. Phys Rev Lett 77(5):960-963
26. Kempson R, Meyer-Viol W, Gabbay D (2001) Dynamic syntax. The flow of language understanding. Blackwell
27. Kress R (1998) Numerical analysis, graduate texts in mathematics, vol 181. Springer-Verlag, New York
28. Kutas M, Hillyard SA (1980) Reading senseless sentences: brain potentials reflect semantic incongruity. Science 207:203-205
29. Kutas M, Hillyard SA (1984) Brain potentials during reading reflect word expectancy and semantic association. Nature 307:161-163
30. Lewis RL, Vasishth S (2006) An activation-based model of sentence processing as skilled memory retrieval. Cogn Sci 29:375-419
31. Maye A, Werning M (2004) Temporal binding of non-uniform objects. Neurocomputing 58:941-948
32. Mizraji E (1989) Context-dependent associations in linear distributed memories. Bull Math Biol 51(2):195-205
33. Mizraji E (1992) Vector logics: the matrix-vector representation of logical calculus. Fuzzy Sets Syst 50:179-185
34. Moore C, Crutchfield JP (2000) Quantum automata and quantum grammars. Theor Comput Sci 237:275-306
35. Noveck IA, Posada A (2003) Characterizing the time course of an implicature: an evoked potentials study. Brain Lang 85:203-210
36. Nunez PL, Srinivasan R (2006) Electric fields of the brain: the neurophysics of EEG. Oxford University Press, New York
37. Osterhout L, Holcomb PJ (1992) Event-related brain potentials elicited by syntactic anomaly. J Mem Lang 31:785-806
38. Schöner G, Thelen E (2006) Using dynamic field theory to rethink infant habituation. Psychol Rev 113(2):273-299
39. Smolensky P (1990) Tensor product variable binding and the representation of symbolic structures in connectionist systems. Artif Intell 46:159-216
40. Smolensky P (2006) Harmony in linguistic cognition. Cogn Sci 30:779-801
41. Smolensky P, Legendre G (2006) The harmonic mind. From neural computation to optimality-theoretic grammar, vol 1: cognitive architecture. MIT Press, Cambridge
42. Stabler EP (1997) Derivational minimalism. In: Retoré C (ed) Logical aspects of comutational linguistics, Springer Lecture Notes in Computer Science, vol 1328. Springer, New York, pp 68-95
43. Tabor W, Juliano C, Tanenhaus MK (1997) Parsing in a dynamical system: an attractor-based account of the interaction of lexical and structural constraints in sentence processing. Lang Cogn Process 12(2/3):211-271
44. Thelen E, Schöner G, Scheier C, Smith LB (2001) The dynamics of embodiment: A field theory of infant perseverative reaching. Behav Brain Sci 24:1-86
45. van der Velde F, de Kamps M (2006) Neural blackboard architectures of combinatorial structures in cognition. Behav Brain Sci 29:37-108
46. Vosse T, Kempen G (2000) Syntactic structure assembly in human parsing: a computational model based on competitive inhibition and a lexicalist grammar. Cognition 75:105-143
47. Werning M, Maye A (2007) The cortical implementation of complex attribute and substance concepts: synchony, frames, and hierarchical binding. Chaos Complex Lett 2(2/3):435-452
48. Wilson HR, Cowan JD (1973) A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13:55-80
49. Wright JJ, Rennie CJ, Lees GJ, Robinson PA, Bourke PD, Chapman CL, Gordon E, Rowe DL (2004) Simulated electrocortical activity at microscopic, mesoscopic and global scales. Int J Bifurcat Chaos 14(2):853-872