Elman topology with sigma-pi units: An application to the modeling of verbal hallucinations in schizophrenia

Neural Networks

Volumn 18, Issue 7, 2005, Pages 863-877

  Valle Lisboa, Juan C ^a   Reali, Florencia ^a   Anastasía, Héctor ^b   Mizraji, Eduardo ^a  

^a UNIVERSIDAD DE LA REPÚBLICA   (Uruguay)

^b Hospital Militar   (Uruguay)

Author keywords

Kronecker product; Language processing; Schizophrenia; Sigma pi unit; SRN

Indexed keywords

COGNITIVE SYSTEMS; COMPUTER SIMULATION; TOPOLOGY;

KRONECHER PRODUCT; LANGUAGE PROCESSING; SCHIZOPHERNIA; SIGMA-PI UNITS; SRN;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; HALLUCINATION; LANGUAGE; LEARNING; PATHOGENESIS; PRIORITY JOURNAL; SCHIZOPHRENIA; STATISTICAL ANALYSIS; THEORETICAL STUDY;

BRAIN; CEREBRAL CORTEX; COGNITION; HALLUCINATIONS; HUMANS; LANGUAGE; MEMORY, SHORT-TERM; MODELS, NEUROLOGICAL; NERVE NET; NEURAL NETWORKS (COMPUTER); NEURAL PATHWAYS; SCHIZOPHRENIA; VERBAL BEHAVIOR;

EID: 24344436037     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neunet.2005.03.009     Document Type: Article

References (60)

1. I. Agartz, J.L. Andersson, and S. Skare Abnormal brain white matter in schizophrenia: A diffusion tensor imaging study Neuroreport 12 2001 2251 2254
2. S.-I. Amari Neural theory of association and concept-formation Biological Cybernetics 26 1977 175 185
3. R.A. Andersen, L.H. Snyder, D.C. Bradley, and J. Xing Multimodal representation of space in the posterior parietal cortex and its use in planning movements Annual Review of Neuroscience 20 1997 303 330
4. A. Baddeley Working memory Science 255 1992 556 559
5. R. Bellman Introduction to matrix analysis 1960 McGraw-Hill New York
6. W. Bialek, and A. Zee Coding and computation with neural spike trains Journal of Statistical Physics 59 1990 103 115
7. Boers, J. W., & Kuiper, H. (1992). Biological metaphors and the design of modular artificial neural networks. Master's Thesis, Department of Computer Science and Experimental Psychology, Leiden University, The Netherlands.
8. S. Brodie, B.W. Knight, and F. Ratliff The response of the Limulus retina to moving stimuli: A prediction by Fourier synthesis Journal of General Physiology 72 1978 129 166
9. M.S. Buchsbaum, C.Y. Tang, S. Peled, H. Gudbjartsson, D. Lu, and E.A. Hazlett MRI white matter diffusion anisotropy and PET metabolic rate in schizophrenia Neuroreport 9 1998 425 430
10. G. Bugmann Multiplying with neurons: Compensation for irregular input spike trains using time-dependent synaptic efficiencies Biological Cybernetics 68 1992 103 115
11. G.A. Carpenter, and S. Grossberg Adaptive resonance theory M.A. Arbib The handbook of brain theory and neural networks 2nd ed. 2003 MIT Press Cambridge, MA 87 90
12. M.H. Christiansen, and N. Chater Toward a connectionist model of recursion in human linguistic performance Cognitive Science 23 1999 157 205
13. J.D. Cohen, and D. Servan-Schreiber Context, cortex, and dopamine: A connectionist approach to behavior and biology in schizophrenia Psychological Reviews 90 1992 45 77
14. L.N. Cooper Memories and memory: A physicist's approach to the brain International Journal of Modern Physics A 15 2000 4069 4082
15. T. Crow Schizophrenia as the price that Homo sapiens pays for language: A resolution of the central paradox in the origin of the species Brain Research Reviews 31 2000 118 129
16. J.L. Elman Finding structure in time Cognitive Science 14 1990 179 211
17. J.L. Elman Language as a dynamical system R.F. Port T. van Gelder Mind as motion. Explorations in the dynamics of cognition 1995 MIT Press Cambridge, MA 195 225
18. J. Foong, M. Maier, C.A. Clark, G.J. Barker, D.H. Miller, and M.A. Ron Neuropathological abnormalities of the corpus callosum in schizophrenia: A diffusion tensor imaging study Journal of Neurology, Neurosurgery and Psychiatry 55 2000 242 244
19. S. Grossberg Neural models of normal and abnormal behavior: What do schizophrenia, Parkinsonism, attention deficit disorder and depression have in common? J. Reggia E. Rupin D.L. Glanzman Disorders of brain behavior and cognition: The neurocomputational perspective 1999 Elsevier Amsterdam 375 406
20. S. Grossberg, and C. Myers The resonant dynamics of conscious speech: Interword integration and duration-dependent backward effects Psychological Review 107 2000 735 767
21. N. Hatsopolous, F. Gabbiani, and G. Laurent Elementary computation of object approach by a wide-field visual neuron Science 270 1995 1000 1003
22. R.E. Hoffman Computer simulations of neural information processing and the schizophrenia-mania dichotomy Archives of General Psychiatry 44 1987 178 185
23. R.E. Hoffman, and T.H. McGlashan Synaptic elimination, neurodevelopment, and the mechanism of hallucinated voices in schizophrenia American Journal of Psychiatry 154 1997 1683 1689
24. R.E. Hoffman, and T.H. McGlashan Reduced corticocortical connectivity can induce speech perception pathology and hallucinated 'voices' Schizophrenia Research 30 1998 137 141
25. R.E. Hoffman, J. Rapaport, R. Ameli, T.H. McGlashan, D. Harcherik, and D. Servan-Schreiber A neural network simulation of hallucinated voices and associated speech perception impairments in schizophrenia patients Journal of Cognitive Neuroscience 7 1995 479 497
26. D. Hubl, T. Koenig, W. Strik, A. Federspiel, R. Kreis, and C. Boesch Pathways that make voices: White matter changes in auditory hallucinations Archives of General Psychiatry 61 2004 658 668
27. C. Koch, and T. Poggio Biophysics of computation: Neurons, synapses and membranes G.M. Edelman W.E. Gall W.M. Cowan Synaptic function 1987 Wiley New York 637 697
28. C. Koch, and T. Poggio Multiplying with synapses and neurons T. McKenna J. Davis S.F. Zornerster Single neuron computation 1992 Academic Press New York 315 345
29. C. Koch, and I. Segev The role of single neurons in information processing Nature Neuroscience 3 2000 1171 1177
30. S. Lawrence, C.L. Giles, and S. Fong Natural language grammatical inference with recurrent neural networks IEEE Transactions on Knowledge and Data Engineering 12 2000 126 140
31. K.O. Lim, M. Hedehus, M. Moseley, A. de Crespigny, E.V. Sullivan, and A. Pfefferbaum Compromised white matter tract integrity in schizophrenia inferred from diffusion tensor imaging Archives of General Psychiatry 56 1999 367 374
32. T.H. McGlashan, and R.E. Hoffman Schizophrenia as a disorder of developmentally reduced synaptic connectivity Archives of General Psychiatry 57 2000 637 648
33. B.W. Mel NMDA-based pattern discrimination in a modeled cortical neuron Neural Computation 4 1992 502 517
34. B.W. Mel Synaptic integration in an excitable dendritic tree Journal of Neuroscience 70 1993 1086 1101
35. M. Minsky, and S. Papert Perceptrons 1988 MIT Press Cambridge, MA
36. E. Mizraji Context-dependent associations in linear distributed memories Bulletin of Mathematical Biology 51 1989 195 205
37. E. Mizraji Vector logics: The matrix-vector representation of logical calculus Fuzzy Sets and Systems 50 1992 179 185
38. E. Mizraji, A. Pomi, and F. Alvarez Multiplicative contexts in associative memories Biosystems 32 1994 145 161
39. P.R. Montagne, and T.J. Sejnowski The predictive brain: Temporal coincidence and temporal order in synaptic learning mechanisms Learning and Memory 1 1994 1 33
40. M.M. Nass, and L.N. Cooper A theory for the development of feature detecting cells in visual cortex Biological Cybernetics 19 1975 1 18
41. R.S. Neville, and S. Elridge Transformation of sigma-pi nets: Obtaining reflected functions by reflecting weight matrices Neural Networks 15 2002 375 393
42. Y.H. Pao Adaptive pattern recognition and neural networks 1989 Addison-Wesley Reading, MA
43. J.L. Peña, and M. Konishi Auditory spatial receptive field created by multiplication Science 292 2001 249 252
44. T. Poggio A theory of how the brain might work The Brain Cold Spring Harbor Simposia on Quantitative Biology Vol. LV 1990 The Cold Spring Harbor Laboratory Press New York pp. 390-431
45. A. Pomi, and E. Mizraji Memories in context Biosystems 50 1999 173 188
46. A. Pomi, and E. Mizraji A cognitive architecture that solves a problem stated by Minsky IEEE Transactions on Systems, Man and Cybernetics, Part B 31 2001 729 734
47. R.D.S. Raizada, and S. Grossberg Towards a theory of the laminar architecture of cerebral cortex: Computational clues from the visual system Cerebral Cortex 13 2003 100 113
48. Reali, F. (2002). Interacciones multiplicativas en modelos de redes neuronales: algunas aplicaciones en redes de procesamiento del lenguaje. Tesis de Maestria. PEDECIBA - Facultad de Ciencias, Uruguay.
49. H. Ritter, and T. Kohonen Self-organizing semantic maps Biological Cybernetics 61 1989 241 254
50. D.E. Rumelhart, G.E. Hinton, and J.L. McClelland A general framework for parallel distributed processing D.E. Rumelhart J.L. McClelland Parallel distributed processing 1986 MIT Press Cambridge, MA
51. D.E. Rumelhart, G.E. Hinton, and R.J. Williams Learning internal representation by error propagation D.E. Rumelhart J.L. McClelland Parallel distributed processing 1986 MIT Press Cambridge, MA
52. N. Sartorius, R. Shapiro, and A. Jablenski The International Pilot Study of schizophrenia Schizophrenia Bulletin 1 1974 21 35
53. A. Sawa, and S.H. Snyder Schizophrenia: Diverse approaches to a complex disease Science 296 2002 692 695
54. M. Schmitt On the complexity of computing and learning with multiplicative neural networks Neural Computation 14 2002 241 301
55. S. Shergill, E. Bullmore, A. Simmons, R. Murray, and P. McGuire Functional anatomy of auditory verbal imagery in schizophrenics patients with auditory hallucinations American Journal of Psychiatry 157 2000 1691 1693
56. S.S. Shergill, M. Robin, R.M. Murray, and P.K. McGuire Auditory hallucinations: A review of psychological treatments Schizophrenia Research 32 1998 137 150
57. H.T. Siegelmann, and E.D. Sontag On the computational power of neural nets Journal of Computer and System Sciences 50 1995 132 150
58. M. Spitzer A cognitive neuroscience view of schizophrenic thought disorder Schizophrenia Bulletin 23 1997 29 46
59. D. Tal, and E.L. Schwartz Computing with the leaky integrate and fire neuron: Logarithmic computation and multiplication Neural Computation 9 1997 305 318
60. B. Widrow, and M.E. Hoff Adaptative switching circuits J.A. Anderson E. Rosenfeld Neurocomputing 1960 MIT Press Cambridge, MA