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Check out the new article: Category Theory in MQL5 (Part 19): Naturality Square Induction.
We continue our look at natural transformations by considering naturality square induction. Slight restraints on multicurrency implementation for experts assembled with the MQL5 wizard mean we are showcasing our data classification abilities with a script. Principle applications considered are price change classification and thus its forecasting.
In this article we will focus on how to utilize naturality squares, a concept we introduced in our last article, with induction. The potential applicable benefits of this will be demonstrated with 3 forex pairs that can be linked by arbitrage. We look to classify price change data for one of the pairs with the goal of assessing if we can develop an entry signal algorithm for that pair.
Naturality squares are the extension of natural transformations into a commutable diagram. So, if we have two separate categories with more than one functor between them, we can assess the relations between two or more objects in the co-domain category and use this analysis not just to relate to other similar categories but also make forecasts within the category under observation, if the objects are in a time series.
Author: Stephen Njuki