11 citations · 11 across the 6 of their papers we have counts for
6 papers
Adjoints of Morphisms of Neural Codes
Juliann Geraci, Alexander B. Kunin, Alexandra Seceleanu
A combinatorial code is a collection of subsets of , or equivalently a set of points in . A morphism of codes is a map from one combinatorial code to…
Braid-based architecture search
Olga Lukyanova, Oleg Nikitin, Alex Kunin
In this article, we propose the approach to structural optimization of neural networks, based on the braid theory. The paper describes the basics of braid theory as applied to the…
BraidNet: procedural generation of neural networks for image classification problems using braid theory
Olga Lukyanova, Oleg Nikitin, Alex Kunin
In this article, we propose the approach to procedural optimization of a neural network, based on the combination of information theory and braid theory. The network studied in the…
The principle of weight divergence facilitation for unsupervised pattern recognition in spiking neural networks
Oleg Nikitin, Olga Lukyanova, Alex Kunin
Parallels between the signal processing tasks and biological neurons lead to an understanding of the principles of self-organized optimization of input signal recognition. In the p…
Constrained plasticity reserve as a natural way to control frequency and weights in spiking neural networks
Oleg Nikitin, Olga Lukyanova, Alex Kunin
Biological neurons have adaptive nature and perform complex computations involving the filtering of redundant information. However, most common neural cell models, including biolog…
Oriented Matroids and Combinatorial Neural Codes
Alexander Kunin, Caitlin Lienkaemper, Zvi Rosen
A combinatorial neural code is convex if it arises as the intersection pattern of convex open subsets of . We relate the emerging theory…