15 citations · 16 across the 7 of their papers we have counts for
7 papers
Multivariate quantile regression via Kolmogorov-Arnold Networks
Andrew Polar, Michael Poluektov
This paper introduces a novel algorithm for predicting conditional joint distributions of vector-valued targets in stochastic systems whose randomness is intrinsic rather than aris…
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…
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…
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…
A deep machine learning algorithm for construction of the Kolmogorov-Arnold representation
Andrew Polar, Michael Poluektov
The Kolmogorov-Arnold representation is a proven adequate replacement of a continuous multivariate function by an hierarchical structure of multiple functions of one variable. The…
Canonical block-oriented model
Andrew Polar, Michael Poluektov
The block-oriented models are usually based on linear dynamic and non-linear static blocks that are connected in various sequential/parallel ways. Some particular configurations of…
Modelling non-linear control systems using the discrete Urysohn operator
Michael Poluektov, Andrew Polar
This paper introduces a multiple-input discrete Urysohn operator for modelling non-linear control systems and a technique of its identification by processing the observed input and…