13 citations · 32 across the 7 of their papers we have counts for
8 papers
Algorithmic Complexities in Backpropagation and Tropical Neural Networks
Ozgur Ceyhan
In this note, we propose a novel technique to reduce the algorithmic complexity of neural network training by using matrices of tropical real numbers instead of matrices of real nu…
Position Space Feynman quadrics and their motives
Ozgur Ceyhan
In this note, we introduce and study position space Feynman quadrics that are the loci of divergences of the position space Feynman integrals for Euclidean massless scalar quantum…
Algebraic renormalization and Feynman integrals in configuration spaces
Ozgur Ceyhan, Matilde Marcolli
This paper continues our previous study of Feynman integrals in configuration spaces and their algebro-geometric and motivic aspects. We consider here both massless and massive Fey…
Feynman integrals and periods in configuration spaces
Ozgur Ceyhan, Matilde Marcolli
We describe differential forms representing Feynman amplitudes in configuration spaces of Feynman graphs, and regularization and evaluation techniques, for suitable chains of integ…
Feynman integrals and motives of configuration spaces
Ozgur Ceyhan, Matilde Marcolli
We formulate the problem of renormalization of Feynman integrals and its relation to periods of motives in configuration space instead of momentum space. The algebro-geometric sett…
Deformations of QFTs and Connes-Marcolli's renormalization group in Epstein-Glaser scheme
Ozgur Ceyhan
This short note aims to describe the deformations of QFTs and give an action of the same pro-algebraic group which appears in Connes-Marcolli's setting, on the finite QFTs co…
Chow groups of the moduli spaces of weighted pointed stable curves of genus zero
Ozgur Ceyhan
The moduli space of weighted pointed stable curves of genus zero is stratified according to the degeneration types of such curves. We show that the homology groups of t…
On moduli of pointed real curves of genus zero
Ozgur Ceyhan
We introduce the moduli space of pointed real curves of genus zero and give its natural stratification. The strata of correspond to real curve…