3 papers
cs.LG2026
Concurrent training methods for Kolmogorov-Arnold networks: Disjoint datasets and FPGA implementation
Andrew Polar, Michael Poluektov
The present paper introduces concurrency-driven enhancements to the training algorithm for the Kolmogorov-Arnold networks (KANs) that is based on the Newton-Kaczmarz (NK) method. P…
math.NA2025
Construction of the Kolmogorov-Arnold representation using the Newton-Kaczmarz method
Michael Poluektov, Andrew Polar
It is known that any continuous multivariate function can be represented exactly by a composition functions of a single variable - the so-called Kolmogorov-Arnold representation. I…
cs.LG2024
Probabilistic Kolmogorov-Arnold Network
Andrew Polar, Michael Poluektov
The Kolmogorov-Arnold network (KAN) is a regression model that is based on a representation of an arbitrary continuous multivariate function by a composition of functions of a sing…