5 papers
A note on cocycles in
Nikolaos Karaliolios
This short note studies -smooth cocycles in that have degree and are non-homotopic to constants. The study picks up from where the author's…
Furstenberg counterexamples over Diophantine rotations
Nikolaos Karaliolios
We construct cocycles in over Diophantine rotations that are minimal and not uniquely ergodic. Such cocycles are dense in an open subset of cocycles over…
The weak form of the SDOF and MDOF equation of motion, part II: A numerical method for the SDOF problem
Nikolaos Karaliolios, Dimitiros L. Karabalis
A new, more efficient, numerical method for the SDOF problem is presented. Its construction is based on the weak form of the equation of motion, as obtained in part I of the paper,…
The weak form of the SDOF and MDOF equation of motion, part I: Theory
Nikolaos Karaliolios, Dimitrios L. Karabalis
The weak form of the SDOF and MDOF equations of motion are obtained. The original initial conditions problem is transformed into a boundary value problem. The boundary value proble…
Smooth Pseudo-Labeling
Nikolaos Karaliolios, Hervé Le Borgne, Florian Chabot
Semi-Supervised Learning (SSL) seeks to leverage large amounts of non-annotated data along with the smallest amount possible of annotated data in order to achieve the same level of…