No, no, no, no. The "business cycle" is a misnomer; it's not a cycle. It doesn't fit any descriptions of a "cycle" except for the fact that it sometimes goes up and sometimes goes down.
Saying that it's a cycle implies you can time downward trends like crashes or predict their intensity, which, anyone in finance or maroeconomics will tell you is impossible
For example, the price of commodities does depend on the growing season (which is predictable) but other factors which are not cyclical so that the price itself is not easily predicted.
Just because something is hard doesn't mean it's impossible; You can predict anything with a degree of certainty. Then there are things like uncertainty and radical (Knightian) uncertainty.
Any chartered actuary would tell you the same if you could afford one, and they will know quite a bit about business cycles and how to model them, too.
You can try to build a model, but the confidence intervals for the next big crash are going to be either useless (way too wide) or bullshit if what you're trying to predict is the next market crash. Building a classifier around it machine learning style will not fundamentally help, either.
You can try it: here is an open source, serious, full scale macroeconomic model by the NY Fed [1]. Try to predict the next large crash with it and report back
The rest is left as an exercise to the reader.
noun: cycle; plural noun: cycles
1.a series of events that are regularly repeated in the same order.
"the recurrent cycle of harvest failure, food shortages, and price increases"
Can you predict the timing and magnitude of food shortages and prices?