Definition
Information Theory started with Shannon’s seminal paper “A Mathematical Theory of Communication” (Shannon 1948). Because its importance and flexibility were quickly recognized, there were numerous attempts to apply it to diverse field outside of its original scope. The entries in this section provide an overview of the current state of Information Theory in Neuroscience.
Detailed Description
When discussing a field, it is useful to review the basic concepts and their properties. That has been provided in multiple articles for Information Theory. To assist the reader, the entry “Summary of Information-Theoretic Quantities” provides a brief summary of the main information-theoretic quantities. For a more thorough investigation, we would direct interested readers to the most excellent introduction to Information Theory by Cover and Thomas (2006), now in its second edition.
Very soon after Shannon’s initial publication (1948), a small number of manuscripts provided the...
References
Abeles M, Lass Y (1975) Transmission of information by the axon: II. The channel capacity. Biol Cybern 19:121–125
Attneave F (1954) Some information aspects of visual perception. Psychol Rev 61:183–193
Barlow HB (1961) Possible principles underlying the transformation of sensory messages. In: Rosenblith WA (ed) Sensory communications. MIT Press, Cambridge, MA
Cover T, Thomas J (2006) Elements of information theory. In: Wiley series in communication and signal processing, 2nd edn. Wiley, Hoboken
de Ruyter van Steveninck R, Bialek W (1988) Real-time performance of a movement- sensitive neuron in the blowfly visual system: coding and information transfer in short spike sequences. Proc Royal Soc Ser B Biol Sci 234(1277):379–414
Dimitrov AG, Lazar AA, Victor JD (2011) Information theory in neuroscience. J Comput Neurosci 30(1):1–5
Eagles JP, Purple RL (1974) Afferent fibers with multiple encoding sites. Brain Res 77(2):187–193
Eckhorn R, Pöpel B (1974) Rigorous and extended application of information theory to the afferent visual system of the cat. I. Basic concepts. Biol Cybern 16:191–200
Granger C (1969) Investigating causal relations by econometric models and cross-spectral methods. Econometrica 37(3):424–438
Harvey R (1978) Patterns of output firing generated by a many-input neuronal model for different model parameters and patterns of synaptic drive. Brain Res 150(2):259–276
MacKay DM, McCulloch WS (1952) The limiting information capacity of a neuronal link. Bull Math Biophys 14:127–135
Massey J (1990) Causality, feedback and directed information. In: Proceedings of the international symposium on information theory applications (ISITA-90). Yokohama National University, Yokohama, pp 303–305
Massey J, Massey P (2005) Conservation of mutual and directed information. In: Proceedings of the international symposium on information theory (ISIT 2005). IEEE Publishing, New York NY, pp 157–158
Milenkovic O, Alterovitz G, Battail G, Coleman TP, Hagenauer J, Meyn SP, Price N, Ramoni MF, Shmulevich I, Szpankowski W (2010) Introduction to the special issue on information theory in molecular biology and neuroscience. IEEE Trans Inf Theory 56(2):649–652
Miller GA (1955) Note on the bias of information estimates. In: Henry Q (ed) Information theory in psychology: problems and methods, vol vol II-B. Free Press, Glenco, IL, pp 95–100
Norwich K (1977) On the information received by sensory receptors. Bull Math Biol 39:453–461
Poussart DJM (1971) Membrane current noise in lobster axon under voltage clamp. Biophys J 11(2):211–234
Shannon CE (1948) A mathematical theory of communication. Bell Syst Tech J 27:623–656
Stark L, Negrete-Martinze J, Yankelevich G, Theodoridis G (1969) Experiments on information coding in nerve impulse trains. Math Biosci 4(3–4):451–485
Stein RB (1967) The information capacity of nerve cells using a frequency code. Biophys J 7(6):797–826
Taylor RC (1975) Integration in the crayfish antennal neuropile: topographic representation and multiple-channel coding of mechanoreceptive submodalities. Dev Neurobiol 6(5):475–499
Walloe L (1970) On the transmission of information through sensory neurons. Biophys J 10(8):745–763
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2022 Springer Science+Business Media, LLC, part of Springer Nature
About this entry
Cite this entry
Dimitrov, A. (2022). Information Theory: Overview. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-0716-1006-0_751
Download citation
DOI: https://doi.org/10.1007/978-1-0716-1006-0_751
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-0716-1004-6
Online ISBN: 978-1-0716-1006-0
eBook Packages: Biomedical and Life SciencesReference Module Biomedical and Life Sciences