In this theoretical contribution we provide mathematical proof that two of the most important classes of network learning correlation-based differential Hebbian learning and reward-based temporal difference learning are asymptotically equivalent when timing the learning with a local modulatory signal. This opens the opportunity to consistently reformulate most of the abstract reinforcement lear...

For a Hermite subdivision scheme H of degree d, we define a spectral condition. We have already proved that if it is fulfilled, then there exists an associated affine subdivision scheme S. Moreover, if T is the subdivision matrix of the first difference process ∆S, if the spectral radius ρ(T ) is less than 1, then S is C0 and H is Cd. Generalizing the de Rham corner cutting, from every Hermite ...

In this note, we define the class of finite groups of Suzuki type, which are non–abelian groups of exponent 4 and class 2 with special properties. A group G of Suzuki type with |G| = 22s always possesses a non–trivial difference set. We show that if s is odd, G possesses a central difference set, whereas if s is even, G has no non–trivial central difference set.

The estimation of parameters of lagged multilevel models is considered. This type of model is used in many application areas, including psychology and education, where changes in test results over time can be modelled. Standard estimation techniques are shown to give inconsistent results for this formulation of the multilevel model. For two simple assumptions concerning the nature of the model ...

In this paper we use important new training and wage data from the British Household Panel Survey to estimate the impact of the national minimum wage (introduced in April 1999) on the work-related training of low-wage workers. We use two ‘treatment groups’ for estimating the impact of the new minimum wage – those workers who explicitly stated they were affected by the new minimum and those work...

We present a finite difference method for modeling the propagation of electrical waves in cardiac tissue using the cable equation with homogeneous Neumann boundary conditions. This method is novel in that it is derived by first discretizing the phase field method as described by Fenton, et al, then taking a limit to recover a sharp interface. Our method provides for exact voltage conservation (...

In this paper, we consider the variable-order nonlinear fractional diffusion equation ∂u(x, t) ∂t = B(x, t)xR u(x, t) + f(u, x, t), where xR α(x,t) is a generalized Riesz fractional derivative of variable order α(x, t) (1 < α(x, t) ≤ 2) and the nonlinear reaction term f(u, x, t) satisfies the Lipschitz condition |f(u1, x, t) − f(u2, x, t)| ≤ L|u1 − u2|. A new explicit finite difference approxim...