fractional-differentiation-time-series
fractional-differentiation-time-series copied to clipboard
As described in Advances of Machine Learning by Marcos Prado.
Fractional Differentiation on Time Series
As described in Advances of Machine Learning by Marcos Prado
SP500 returns
F(X) = X and its (frac) derivatives/antiderivates
The animation shows the derivative operator oscillating between the antiderivative (α=−1: y = 1⁄2⋅x2) and the derivative (α = +1: y = 1) of the simple function y = x continuously.
Get Started
git clone [email protected]:philipperemy/fractional-differentiation-time-series.git && cd fractional-differentiation-time-series
virtualenv -p python3 venv
source venv/bin/activate
pip install . --upgrade
python frac_diff_sp500.py
References:
- https://www.wiley.com/en-us/Advances+in+Financial+Machine+Learning-p-9781119482086
- https://wwwf.imperial.ac.uk/~ejm/M3S8/Problems/hosking81.pdf
- https://en.wikipedia.org/wiki/Fractional_calculus