Going Beyond a Mean-field Model for the Learning Cortex: Second-Order Statistics
نویسندگان
چکیده
منابع مشابه
Boson-fermion Model beyond Mean-field Approximation
A model of hybridized bosons and fermions is studied beyond the mean field approximation. The divergent boson self-energy at zero temperature makes the Cooper pairing of fermions impossible. The frequency and momentum dependence of the self-energy and the condensation temperature T c of initially localized bosons are calculated analytically. The value of the boson condensation temperature T c i...
متن کاملModern Nonparametric Statistics: Going Beyond Asymptotic Minimax
During the years 1975 1990 a major emphasis in nonparametric estimation was put on computing the asymptotic minimax risk for many classes of functions. Modern statistical practice indicates some serious limitations of the asymptotic minimax approach and calls for some new ideas and methods which can cope with the numerous challenges brought to statisticians by modern sets of data. Mathematics S...
متن کاملMetabifurcation analysis of a mean field model of the cortex
Mean field models (MFMs) of cortical tissue incorporate salient, average features of neural masses in order to model activity at the population level, Corresponding author Email address: [email protected] (Federico Frascoli ) Preprint submitted to Elsevier August 25, 2010 thereby linking microscopic physiology to macroscopic observations, e.g., with the electroencephalogram (EEG). One of th...
متن کاملMean-field approximation for a limit order driven market model.
A mean-field variant of the model of limit order driven market introduced recently by Maslov is formulated and solved. The agents do not have any strategies and the memory of the system is kept within the order book. We show that the evolution of the order book is governed by a matrix multiplicative process. The resulting stationary distribution of step-to-step price changes is calculated. It e...
متن کاملSecond-order mean-field susceptible-infected-susceptible epidemic threshold.
Given the adjacency matrix A of a network, we present a second-order mean-field expansion that improves on the first-order N-intertwined susceptible-infected-susceptible (SIS) epidemic model. Unexpectedly, we found that, in contrast to first-order, second-order mean-field theory is not always possible: the network size N should be large enough. Under the assumption of large N, we show that the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Biological Physics
سال: 2007
ISSN: 0092-0606,1573-0689
DOI: 10.1007/s10867-008-9056-5