QUANTUM DISSIPATION AND QUANTUM NOISE

We derive the exact action for a damped mechanical system ( and the special case of the linear oscillator) from the path integral formulation of the quantum Brownian motion problem developed by Schwinger and by Feynman and Vernon. The doubling of the phase-space degrees of freedom for dissipative systems and thermal field theories is discussed and the initial values of the doubled variables are related to quantum noise effects.Comment: This is a Tex file; To be published in Annals of Phys. (N.Y.) 238, 200 (1995

Generative Models For Deep Learning with Very Scarce Data

The goal of this paper is to deal with a data scarcity scenario where deep learning techniques use to fail. We compare the use of two well established techniques, Restricted Boltzmann Machines and Variational Auto-encoders, as generative models in order to increase the training set in a classification framework. Essentially, we rely on Markov Chain Monte Carlo (MCMC) algorithms for generating new samples. We show that generalization can be improved comparing this methodology to other state-of-the-art techniques, e.g. semi-supervised learning with ladder networks. Furthermore, we show that RBM is better than VAE generating new samples for training a classifier with good generalization capabilities

Reply to "Comment on 'Light-Front Schwinger Model at Finite Temperature'"

In hep-th/0310278, Blankleider and Kvinikhidze propose an alternate thermal propagator for the fermions in the light-front Schwinger model. We show that such a propagator does not describe correctly the thermal behavior of fermions in this theory and, as a consequence, the claims made in their paper are not correct.Comment: 3pages, version to be published in Phys. Rev.