# Fractal Projection

The Fractal Projection algorithm is a unique approach to forecasting. It answers all the cases where there is not enough historical data to be able to compute a meaningful forecast and/or where the structure of the historical data is fractal.

# Fractal Data Structure

What do we mean by Fractal Data Structure? Essentially we are referring to:
Data has a periodic structure.
If we analyze separately each period of data its structure is similar to the bigger/parent period.

One of the classical examples of Fractal Data is the Stock Market where you can find evidence of both a periodic structure and of a recursive substructure.

# Projection

The projection algorithm takes as input the pattern to be projected and then stretches either horizontally or vertically the pattern interpolating as needed the data to produce a meaningful output.
Much of the hard data mining work is devoted to finding the right pattern in the raw data to project forward but once that one is found or computed then it can be projected forward on any timeframe.

# Example

This example is drawn from an intraday stock chart:

The picture clarifies how the projection can work exploiting the recursive nature of the Stock Market. Of course the same algorithm can be applied to Sales Forecasting or wherever the two premises are applicable.

# Read More Articles on Time-series Forecasting

Forecasting Methods.
Time Series Forecasting.
Forecasting Concepts.
Error Statistics.
Fast Fourier Transform.
Kernel Smoothing.
Savitsky-Golay Smoothing.
Digital Signal Processing.
Curve Analysis.
Markowitz Optimal Portfolio.
Holt Winter's, Series Decomposition and Wavelet Benchmarks.
Use of the Moving Average in Time-series Forecasting.
Denoising Techniques.
Computational Performance.
Moving Averages.
Active Moving Average.
Fractal Projection.
Multiple Regression.
Principal Component Analysis.
Options Pricing with Black-Scholes.
Time-series preprocessing.