Neural Nets, Temporal Composites, and Tonality

Publisher Summary This chapter describes the neural nets, temporal composites, and tonality. The chapter outlines a framework in which aspects of cognition can be understand as the result of the neural association of patterns. Subsequent advances helps in understanding that how these neural associations can be learned. Models based on these mechanisms are called neural net models. Neural net models have a number of properties that recommend them as models of music cognition. Neural net models are not intended to be statements of fact about how the brain is wired. Like all models, they are systematic hypotheses based on available data, and they represent attempts to account for known phenomena and guide further research. Some neural net models are sufficiently closely tied to known physiology that they serve as hypotheses of actual neural circuitry. The chapter helps in gaining knowledge that different types of neurons are interconnected within the parts of the brain that are thought to play major roles in cognition, namely, the cerebral cortex, and the cerebellum. The chapter concludes that either neural nets are implementations of grammars, or grammars are formal descriptions of neural nets. Future research need to bridge the gap either way.

[1]  Richard Parncutt,et al.  AN IMPROVED MODEL OF TONALITY PERCEPTION INCORPORATING PITCH SALIENCE AND ECHOIC MEMORY , 1993 .

[2]  John R. Anderson The Architecture of Cognition , 1983 .

[3]  Douglas H. Keefe,et al.  The Representation of Pitch in a Neural Net Model of Chord Classification , 1989 .

[4]  Michael T. Turvey,et al.  An auditory analogue of the sperling partial report procedure: Evidence for brief auditory storage , 1972 .

[5]  David Zipser,et al.  Feature Discovery by Competive Learning , 1986, Cogn. Sci..

[6]  J. Fodor,et al.  Connectionism and cognitive architecture: A critical analysis , 1988, Cognition.

[7]  W. Pitts,et al.  How we know universals; the perception of auditory and visual forms. , 1947, The Bulletin of mathematical biophysics.

[8]  R. Linsker,et al.  From basic network principles to neural architecture , 1986 .

[9]  C. Krumhansl,et al.  Tracing the dynamic changes in perceived tonal organization in a spatial representation of musical keys. , 1982 .

[10]  C. Krumhansl,et al.  Tonal hierarchies in the music of north India. , 1984, Journal of experimental psychology. General.

[11]  A. A. Mullin,et al.  Principles of neurodynamics , 1962 .

[12]  Geoffrey E. Hinton A Parallel Computation that Assigns Canonical Object-Based Frames of Reference , 1981, IJCAI.

[13]  S. Grossberg Some Networks that can Learn, Remember, and Reproduce any Number of Complicated Space-time , 1970 .

[14]  M Hoke,et al.  Tonotopic organization of the auditory cortex: pitch versus frequency representation. , 1989, Science.

[15]  Peter M. Todd,et al.  Modeling the Perception of Tonal Structure with Neural Nets , 1989 .

[16]  I. Tasaki,et al.  Nerve impulses in individual auditory nerve fibers of guinea pig. , 1954, Journal of neurophysiology.

[17]  M. R. Jones,et al.  Dynamic attending and responses to time. , 1989, Psychological review.

[18]  James L. McClelland On the time relations of mental processes: An examination of systems of processes in cascade. , 1979 .

[19]  M. Ross Quillian,et al.  Retrieval time from semantic memory , 1969 .

[20]  Peter M. Todd,et al.  A Connectionist Approach To Algorithmic Composition , 1989 .

[21]  J. Bharucha,et al.  Tonal cognition, artificial intelligence and neural nets , 1989 .

[22]  James A. Anderson,et al.  A simple neural network generating an interactive memory , 1972 .

[23]  Jamshed J. Bharucha,et al.  MUSACT: a connectionist model of musical harmony , 1992 .

[24]  Marc Leman The Ontogenesis of Tonal Semantics: Results of a Computer Study , 1992 .

[25]  M N Semple,et al.  Representation of sound frequency and laterality by units in central nucleus of cat inferior colliculus. , 1979, Journal of neurophysiology.

[26]  E. Terhardt Pitch, consonance, and harmony. , 1974, The Journal of the Acoustical Society of America.

[27]  D. O. Hebb,et al.  The organization of behavior , 1988 .

[28]  R. Bjork Retrieval inhibition as an adaptive mechanism in human memory. , 1989 .

[29]  Noam Chomsky,et al.  Rules and representations , 1980, Behavioral and Brain Sciences.

[30]  M. Posner,et al.  On the genesis of abstract ideas. , 1968, Journal of experimental psychology.

[31]  C. Palmer Mapping musical thought to musical performance. , 1989, Journal of experimental psychology. Human perception and performance.

[32]  J. Zwislocki Theory of Temporal Auditory Summation , 1960 .

[33]  J.A. Anderson Two models for memory organization using interacting traces , 1970 .

[34]  Robert O. Gjerdingen Using Connectionist Models to Explore Complex Musical Patterns , 1989 .

[35]  Stephen A. Ritz,et al.  Distinctive features, categorical perception, and probability learning: some applications of a neural model , 1977 .

[36]  J. Bharucha Music Cognition and Perceptual Facilitation: A Connectionist Framework , 1987 .

[37]  M M Merzenich,et al.  Representation of cochlea within primary auditory cortex in the cat. , 1975, Journal of neurophysiology.

[38]  P. Sellick,et al.  Tuning properties of cochlear hair cells , 1977, Nature.

[39]  Leonard B. Meyer Emotion and Meaning in Music , 1957 .

[40]  B. Keith Jenkins,et al.  A Neural Network Model for Pitch Perception , 1989 .

[41]  S. Grossberg Some Networks That Can Learn, Remember, and Reproduce any Number of Complicated Space-Time Patterns, I , 1969 .

[42]  Robert O. Gjerdingen,et al.  Meter as a Mode of Attending: A Network Simulation of Attentional Rhythmicity in Music , 1989 .

[43]  C. Krumhansl Cognitive Foundations of Musical Pitch , 1990 .

[44]  Norman M. Weinberger,et al.  Sensitivity of Single Neurons in Auditory Cortex to Contour: Toward a Neurophysiology of Music Perception , 1988 .

[45]  Peter Herscovitch,et al.  Tonotopic organization in human auditory cortex revealed by positron emission tomography , 1985, Hearing Research.

[46]  Michael I. Jordan Attractor dynamics and parallelism in a connectionist sequential machine , 1990 .

[47]  D H Hubel,et al.  Brain mechanisms of vision. , 1979, Scientific American.

[48]  J. R. Hughes,et al.  Microelectrode studies of the cochlear nuclei of the cat. , 1959, Bulletin of the Johns Hopkins Hospital.

[49]  Jozef J. Zwislocki,et al.  Analysis of Some Auditory Characteristics. , 1963 .

[50]  J. Fodor The Language of Thought , 1980 .

[51]  R. Jackendoff,et al.  A Generative Theory of Tonal Music , 1985 .

[52]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[53]  Robert O. Gjerdingen,et al.  Categorization of Musical Patterns by Self-Organizing Neuronlike Networks , 1990 .

[54]  J. Bharucha,et al.  Time course of chord priming , 1992, Perception & psychophysics.

[55]  Stephan Lewandowsky,et al.  Relating Theory and Data : Essays on Human Memory in Honor of Bennet B. Murdock , 1991 .

[56]  J. Reitman Without surreptitious rehearsal, information in short-term memory decay , 1974 .