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activation function adaptive applied approximation attractor back-propagation back-propagation algorithm Boltzmann machine Chapter classification computation condition convergence corresponding cost function defined denote derivative described in Eq desired response dimensionality discussed distribution dynamic eigenvalue entropy equation estimate example experts feature map feedback FIGURE filter follows Gaussian gradient graph Hebbian Hessian matrix hidden layer hidden neurons HME model Hopfield Hopfield network input layer input space input vector iteration leaming learning-rate parameter linear LMS algorithm Lyapunov method minimization multilayer perceptron mutual information neural network neuron nodes noise nonlinear operation optimal output layer output neuron pattem pattern performance principal components principal components analysis probability density function problem radial-basis function random variable RBF network recurrent network represents respect result Section self-organizing sigmoid statistical stochastic supervised learning support vector machine theorem theory tion training data training sample training set update variance VC dimension zero