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Optimal representation in biological systems.

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Titel: Optimal representation in biological systems.
Autoren: Kak S; Oklahoma State University, Stillwater, OK, USA. subhash.kak@okstate.edu.
Quelle: Theory in biosciences = Theorie in den Biowissenschaften [Theory Biosci] 2025 Nov; Vol. 144 (3-4), pp. 237-242. Date of Electronic Publication: 2025 Jul 05.
Publikationsart: Journal Article
Sprache: English
Info zur Zeitschrift: Publisher: Urban & Fischer Country of Publication: Germany NLM ID: 9708216 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1611-7530 (Electronic) Linking ISSN: 14317613 NLM ISO Abbreviation: Theory Biosci Subsets: MEDLINE
Imprint Name(s): Publication: Jena : Urban & Fischer
Original Publication: Jena : Gustav Fischer, c1997-
MeSH-Schlagworte: Models, Biological*, Animals ; Algorithms ; Neurons/physiology ; Songbirds/physiology ; Computer Simulation ; Models, Neurological ; Logistic Models
Abstract: Competing Interests: Declarations. Competing interests: The authors declare no competing interests.
An optimal representation constitutes an efficient set. It is known that for an aggregating system if the cost of representation increases linearly with the number of bases, ternary coding is superior to binary, and coding in e is optimal. This paper investigates the relative efficiency of bases for the cases when the cost complexity is affine (slope-intercept linear), exponential, and logistic and presents new results. It is shown that for representation of structure in logistic maps, which applies often to biological systems and is true for input-output maps of neurons, the optimal base value is near 1.7632, which is consistent with the unary and space coding of information in songbirds. It is shown that the mathematical basis of this result is the solution to the equation INLINEMATH
(© 2025. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.)
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Contributed Indexing: Keywords: Binary coding; Logistic map; Optimal representation; Ternary representation
Entry Date(s): Date Created: 20250705 Date Completed: 20251030 Latest Revision: 20251030
Update Code: 20251030
DOI: 10.1007/s12064-025-00444-9
PMID: 40616701
Datenbank: MEDLINE
Beschreibung
Abstract:Competing Interests: Declarations. Competing interests: The authors declare no competing interests.<br />An optimal representation constitutes an efficient set. It is known that for an aggregating system if the cost of representation increases linearly with the number of bases, ternary coding is superior to binary, and coding in e is optimal. This paper investigates the relative efficiency of bases for the cases when the cost complexity is affine (slope-intercept linear), exponential, and logistic and presents new results. It is shown that for representation of structure in logistic maps, which applies often to biological systems and is true for input-output maps of neurons, the optimal base value is near 1.7632, which is consistent with the unary and space coding of information in songbirds. It is shown that the mathematical basis of this result is the solution to the equation INLINEMATH<br /> (© 2025. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.)
ISSN:1611-7530
DOI:10.1007/s12064-025-00444-9