[HTML][HTML] Probabilistic Machine Learning Methods for Fractional Brownian Motion Time Series Forecasting

L Kirichenko, R Lavrynenko - Fractal and Fractional, 2023 - mdpi.com
This paper explores the capabilities of machine learning for the probabilistic forecasting of
fractional Brownian motion (fBm). The focus is on predicting the probability of the value of an …

Deep learning the Hurst parameter of linear fractional processes and assessing its reliability

D Boros, B Csanády, I Ivkovic, L Nagy, A Lukács… - arXiv preprint arXiv …, 2024 - arxiv.org
This research explores the reliability of deep learning, specifically Long Short-Term Memory
(LSTM) networks, for estimating the Hurst parameter in fractional stochastic processes. The …

[PDF][PDF] The Fractional Brownian Motion Dataset for Evaluating Extreme Quantiles Forecasting Methods

L Kirichenko, R Lavrynenko, N Ryabova - 2023 - ceur-ws.org
Abstract Machine learning utilizes data for training. However, there are instances when the
data is insufficient. To determine the degree of risk of extreme events, it is necessary to …