16 citations · 16 across the 1 of their papers we have counts for
4 papers
Field Theoretical Analysis of On-line Learning of Probability Distributions
Toshiaki Aida
On-line learning of probability distributions is analyzed from the field theoretical point of view. We can obtain an optimal on-line learning algorithm, since renormalization group…
Two-loop Prediction for Scaling Exponents in (2 + ε)-dimensional Quantum Gravity
Toshiaki Aida, Yoshihisa Kitazawa
We perform the two loop level renormalization of quantum gravity in dimensions. We work in the background gauge whose manifest covariance enables us to use the short distance…
Two-loop Renormalization in Quantum Gravity near Two Dimensions
Toshiaki Aida, Yoshihisa Kitazawa, Jun Nishimura +1
We study two--loop renormalization in --dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional t…
Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions
T. Aida, Y. Kitazawa, H. Kawai +1
We study quantum gravity in dimensions in such a way to preserve the volume preserving diffeomorphism invariance. In such a formulation, we prove the following trinity: the g…