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Principle of maximum Fisher information from Hardy's axioms applied to statistical systems

✍ Scribed by Frieden, B. Roy; Gatenby, Robert A.

Book ID
121485038
Publisher
The American Physical Society
Year
2013
Tongue
English
Weight
120 KB
Volume
88
Category
Article
ISSN
1063-651X

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Theta bandwidth determines human visual
Theta bandwidth determines human visual working memory capacity Human visual short term memory (VSTM) is capacity limited1. The neurophysiological basis for this limitation is, however, currently unknown. Here we apply the principle of efficient information transfer, derived from communications theory, to provide a mechanistic account of VSTM capacity. Shannon's information theory states that to increase the capacity of information encoded along a frequency axis, it is more efficient to expand the bandwidth than to increase the transmitted power for a given level of noise2. By applying Shannon's principles to human magnetoencephalography (MEG) recordings of oscillatory activity in the theta band during a VSTM task, we demonstrate that increasing memory load to capacity induces a parametric shift in theta frequency band during the delay period, from 4 to 8 Hz, in a right fronto-parietal network. Critically, we show that an individual's VSTM capacity is proportional to that parametric shift. Thus, the adherence of cortical neuronal oscillations to a fundamental principle of efficient information transfer appears to underlie the limited nature of visual representation in short-term memory.
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Communication Systems and Techniques Vol
Communication Systems and Techniques Volume 747 || Appendix A. The Q Function and Related IntegralsThis Appendix is largely adapted from S. Stein, The QFunction and Related Integrals, Research Report 467, Applied Research Laboratory, Sylvania Electronic Systems, July, 1965.The Q function was introduced in: J. I. Marcum, A Statistical Theory of Target Detection by Pulsed Radar, IRE Trans. Inform. Theory, vol. IT6, pp. 59267, April, 1960; earlier Rand Corp. Res. Memos RM753, July, 1948 and RM754, December, 1947; J. I. Marcum, Tables of the Qfunction, Rand Corp. Res. Memo RM399, January, 1950.Examples of literature on machine computation of the Q function are: A. R. DiDonato and M. P. Jarnagin, A Method for Computing the Circular Coverage Function, Mathematics of Computation, vol. 16, pp. 347355, July, 1962; D. E. Johansen, New Techniques for Machine Computation of the Qfunctions, Truncated Normal Deviates, and Matrix Eigenvalues, Applied Research Laboratory, Sylvania Electronic Systems, AFCRL556, July, 1961.
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