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Titlebook: Seminar on Stochastic Analysis, Random Fields and Applications; Centro Stefano Frans Robert C. Dalang,Marco Dozzi,Francesco Russo Conferenc

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Generalized Random Vector Fields and Euclidean Quantum Vector Fields,ctor fields that fulfil all axioms for Euclidean random fields and that have a covariance which is not locally integrable. Finally we point out that in space-time dimension 2 there exist interacting Euclidean quantum vector fields obtained as pullbacks of P(Φ).-theories. However, the different components of these fields do not couple.
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Statistical Manifolds, Self-Parallel Curves and Learning Processes,the new formalism the so-called α-geometry provides natural interpretation for the learning process, the learning rules have been discussed. The Boltzmann machine is studied using the previously described analysis of the manifold.
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