4 citations · 7 across the 3 of their papers we have counts for
3 papers
cs.LG2022★ 4 cited
Rosenblatt's first theorem and frugality of deep learning
A. N. Kirdin, S. V. Sidorov, N. Y. Zolotykh
First Rosenblatt's theorem about omnipotence of shallow networks states that elementary perceptrons can solve any classification problem if there are no discrepancies in the traini…
math.PR2020★ 2 cited
Linear and Fisher Separability of Random Points in the d-dimensional Spherical Layer
Sergey Sidorov, Nikolai Zolotykh
Stochastic separation theorems play important role in high-dimensional data analysis and machine learning. It turns out that in high dimension any point of a random set of points c…
math.CO2018★ 1 cited
On the -convexity of random points in the -dimensional spherical layer
Sergey Sidorov
We consider the set of points chosen randomly, independently and uniformly in the -dimensional spherical layer. A set of points is called -convex if all its points are vertic…