activity
20162025
most citedSyzygies of Quadratic Veronese Embedding

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.AG2025

Series of quasi-uniform scatterings with fast search, root systems and neural network classifications

Igor V. Netay

In this paper we describe an approach to construct large extendable collections of vectors in predefined spaces of given dimensions. These collections are useful for neural network…

cs.DS2025

Algorithms and data structures for automatic precision estimation of neural networks

Igor V. Netay

We describe algorithms and data structures to extend a neural network library with automatic precision estimation for floating point computations. We also discuss conditions to mak…

cs.LG2024

Geometrical structures of digital fluctuations in parameter space of neural networks trained with adaptive momentum optimization

Igor V. Netay

We present results of numerical experiments for neural networks with stochastic gradient-based optimization with adaptive momentum. This widely applied optimization has proved conv…

math.NA2024

Algorithms and data structures for numerical computations with automatic precision estimation

Igor V. Netay

We introduce data structures and algorithms to count numerical inaccuracies arising from usage of floating numbers described in IEEE 754. Here we describe how to estimate precision…

cs.DS2024

Hashing geographical point data using the space-filling H-curve

Igor V. Netay

We construct geohashing procedure based on using of space-filling H-curve. This curve provides a way to construct geohash with less computations than the construction based on usag…

cs.DS2020

Cyclic space-filling curves and their clustering property

Igor V. Netay

In this paper we introduce an algorithm of construction of cyclic space-filling curves. One particular construction provides a family of space-filling curves in all dimensions (H-c…

math.AG2016★ 1 cited

Syzygies of Quadratic Veronese Embedding

I. V. Netay

In this work we explicitly calculate syzygies of quadratic Veronese embedding as representations of the group $\operatorname…