3 papers
cs.LG2000
Multiplicative Nonholonomic/Newton -like Algorithm
Toshinao Akuzawa, Noboru Murata
We construct new algorithms from scratch, which use the fourth order cumulant of stochastic variables for the cost function. The multiplicative updating rule here constructed is na…
cs.LG2000
Multiplicative Algorithm for Orthgonal Groups and Independent Component Analysis
Toshinao Akuzawa
The multiplicative Newton-like method developed by the author et al. is extended to the situation where the dynamics is restricted to the orthogonal group. A general framework is c…
hep-th1998
Effective QCD Partition Function in Sectors with Non-Zero Topological Charge and Itzykson-Zuber Type Integral
Toshinao Akuzawa, Miki Wadati
It was conjectured by Jackson et.al. that the finite volume effective partition function of QCD with the topological charge coincides with the Itzyskon-Zuber type integral fo…