30 citations · 83 across the 22 of their papers we have counts for
23 papers
Log-Normal Multiplicative Dynamics for Stable Low-Precision Training of Large Networks
Keigo Nishida, Eren Mehmet Kıral, Kenichi Bannai +2
Studies in neuroscience have shown that biological synapses follow a log-normal distribution whose transitioning can be explained by noisy multiplicative dynamics. Biological netwo…
On Interactions for Large Scale Interacting Systems
Kenichi Bannai, Jun Koriki, Makiko Sasada +2
Statistical mechanics explains the properties of macroscopic phenomena based on the movements of microscopic particles such as atoms and molecules. Movements of microscopic particl…
On Uniform Functions on Configuration Spaces of Large Scale Interacting Systems
Kenichi Bannai, Makiko Sasada
Stochastic large scale interacting systems can be studied via the observables, i.e. functions on the underlying configuration space. In our previous article, we introduced the conc…
Varadhan's decomposition of shift-invariant closed uniform forms for large scale interacting systems on general crystal lattices
Kenichi Bannai, Makiko Sasada
We prove a uniform version of Varadhan decomposition for shift-invariant closed uniform forms associated to large scale interacting systems on general crystal lattices. In particul…
The Hodge Realization of the Polylogarithm and the Shintani Generating Class for Totally Real Fields
Kenichi Bannai, Hohto Bekki, Kei Hagihara +3
In this article, we construct the Hodge realization of the polylogarithm class in the equivariant Deligne-Beilinson cohomology of a certain algebraic torus associated to a totally…
Varadhan's Decomposition of Shift-Invariant Closed -forms for Large Scale Interacting Systems on the Euclidean Lattice
Kenichi Bannai, Makiko Sasada
We rigorously formulate and prove for a relatively general class of interactions Varadhan's Decomposition of shift-invariant closed -forms for a large scale interacting system…