120 citations · 295 across the 23 of their papers we have counts for
4 papers · 1 filter
A three layer neural network can represent any multivariate function
Vugar Ismailov
In 1987, Hecht-Nielsen showed that any continuous multivariate function can be implemented by a certain type three-layer neural network. This result was very much discussed in neur…
The double difference property for the class of locally Hölder continuous functions
Rashid Aliev, Aysel Asgarova, Vugar Ismailov
In this paper, we show that the pair of classes of locally Hölder continuous functions (considered on and , respectively) has the double difference pro…
Notes on ridge functions and neural networks
Vugar Ismailov
These notes are about ridge functions. Recent years have witnessed a flurry of interest in these functions. Ridge functions appear in various fields and under various guises. They…
A representation problem for smooth sums of ridge functions
Rashid Aliev, Vugar Ismailov
In this paper we prove that if a multivariate function of a certain smoothness class is represented by a sum of arbitrarily behaved ridge functions, then it can be represented…