40 citations · 43 across the 3 of their papers we have counts for
3 papers
math-ph2018★ 3 cited
Dynamical Systems induced by Canonical Divergence in dually flat manifolds
Domenico Felice, Nihat Ay
The principles of classical mechanics have shown that the inertial quality of mass is characterized by the kinetic energy. This, in turn, establishes the connection between geometr…
stat.ML2014★ 40 cited
Expressive Power and Approximation Errors of Restricted Boltzmann Machines
Guido Montufar, Johannes Rauh, Nihat Ay
We present explicit classes of probability distributions that can be learned by Restricted Boltzmann Machines (RBMs) depending on the number of units that they contain, and which a…
stat.ML2010
Refinements of Universal Approximation Results for Deep Belief Networks and Restricted Boltzmann Machines
Guido Montufar, Nihat Ay
We improve recently published results about resources of Restricted Boltzmann Machines (RBM) and Deep Belief Networks (DBN) required to make them Universal Approximators. We show t…