Authentication codes with secrecy and with splitting are investigated. An information-theoretic lower bound for the probability of successful deception for a spoofing attack of order r is obtained. The condition necessary on authentication codes to achieve the lower bound is determined as a single s
Information-theoretic methods for studying population codes
β Scribed by Robin A.A. Ince; Riccardo Senatore; Ehsan Arabzadeh; Fernando Montani; Mathew E. Diamond; Stefano Panzeri
- Book ID
- 103853944
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 873 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-6080
No coin nor oath required. For personal study only.
β¦ Synopsis
Population coding is the quantitative study of which algorithms or representations are used by the brain to combine together and evaluate the messages carried by different neurons. Here, we review an information-theoretic approach to population coding. We first discuss how to compute the information carried by simultaneously recorded neural populations, and in particular how to reduce the limited sampling bias which affects the calculation of information from a limited amount of experimental data. We then discuss how to quantify the contribution of individual members of the population, or the interaction between them, to the overall information encoded by the considered group of neurons. We focus in particular on evaluating what is the contribution of interactions up to any given order to the total information. We illustrate this formalism with applications to simulated data with realistic neuronal statistics and to real simultaneous recordings of multiple spike trains.
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