We present a simple randomized procedure for the prediction of a binary sequence. The algorithm uses ideas from recent developments of the theory of the prediction of individual sequences. We show that if the sequence is a realization of a stationary and ergodic random process then the average...

This paper introduces a new hybrid approach for learning systems that builds on the theory of nonextensive statistical mechanics. The proposed learning scheme uses only the sign of the gradient, and combines adaptive stepsize local searches with global search steps that make use of an annealing...

In the past several years, researchers have started to notice successful products whose sales patterns show rapidly declining diffusion patterns. These products include certain movies, computer software, TV game software, music CDs, etc. (e.g., Windows95 (up grade version), Final Fantasy,...