3 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…