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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…