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The mismatch negativity (MMN) is conceptualized as a confidence-weighted error signal elicited when a deviation violates the predicted next-state based on regularity.
Our approach is based on regularity results for the solutions of linear Dirichlet problems, the nonlinear alternative of Leray-Schauder (see [24]), the Brouwer fixed point theorem (see [25]) and the Galerkin method.
In this work, we present new existence and localization results for -solutions to problem (P), under (CAR) condition on Our approach is based on regularity results for the solutions of Dirichlet problems and again on the nonlinear alternative of Leray-Schauder.
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Common regularities are identified based on regularities supported by existing approaches to detect bugs or suggest missing code fragments, techniques that mine for structural regularities, as well as on the analysis of an open-source project.
In this section, we formulate models based on Regularities 1 6.
Hume famously claimed that inductions are based on regularities found in experience, and concluded that the inductive predictions may very well turn out being false.
It is thought that the brain shapes perception according to predictions that are made based on regularities; this shaping is accomplished by comparing higher-level predictions with lower-level sensory encoding of an incoming stimulus via the corticofugal (i.e., top down) system [ 2].
Three different approaches are now available if one wants to study these stability issues: a first one using symmetrization, another one via mass transportation and a third one based on the regularity theory for minimal surfaces and other PDEs.
The first two models depend on the Hurst exponent H, and the last one is designed for small data lengths, in which the number of IMFs after EMD is obtained based on the regularity of the signal, and depends on an index measure of regularity.
It is based on sharp regularity results for Poisson-type equations in such nonsmooth domains.
A driver source is calculated from the mobile phone data based on the regularity of visits of mobile phone users at each time of the day20.
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