Adding connections in a restricted Boltzmann machine and testing the Regularized Axons family in deeper architectures

19 Sept 2022, 18:00
3h
Seminarraum 1-3 (CFEL (Building 99))

Seminarraum 1-3

CFEL (Building 99)

Luruper Chaussee 149 22761 Hamburg Germany
Poster Poster Poster Session

Speaker

Eloy Piñol Jimenez (ICFO - Institute of Photonic Sciences)

Description

We study the effect of adding intra-layer connections in restricted Boltzmann machines (RBM), in the hidden layer, in the visible layer, or in both layers at the same time. The improvement obtained with these new connections is evaluated with the negative log-likelihood in the MNIST dataset. We have also implemented different ways to calculate the connection updates, some more precise (and more computationally expensive) than others. In all cases we have found improvements that, although considerable in some cases, are not an overwhelming change. We find that, on the light of these results, new training methods like RAPID, which we introduced in [1] and which is motivated by the control of the spin-glass properties of the Ising model, are very useful. We are currently testing RAPID and some variations of it on deeper Boltzmann machines architectures using the "mean field" theory of condensed matter physics

[1] A. Pozas-Kerstjens, G. Muñoz-Gil, E. Piñol, M. A. García-March, A. Acín, M. Lewenstein, and P. R. Grzybowsky, Mach. Learn.: Sci. Technol. 2, 025026 (2021).

Primary author

Eloy Piñol Jimenez (ICFO - Institute of Photonic Sciences)

Co-authors

Gorka Muñoz-Gil (Institute for Theoretical Physics, University of Innsbruck) Prof. Przemyslaw Ryszard Grzybowski (Faculty of Physics, Adam Mickiewicz University in Poznań) Alejandro Pozas-Kerstjens (mathQI, Universidad Complutense de Madrid) Prof. Miguel Ángel Garcia-March (Universidad Politécnica de Valencia) Prof. Maciej Lewenstein (ICFO - Institute of Photonic Sciences) Prof. Antonio Acín (ICFO - Institute of Photonic Sciences) Antoni Jankiewicz (Faculty of Physics, Adam Mickiewicz University in Poznań)

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