Stock Patterns: Individual vs. General

I’m wondering if individual stocks correlate with their past data more than other stocks, meaning that patterns are repeated more in an individual stocks history. I’m asking because I have one algo that trains on individual stock data and one that trains on all market data.

One way to test this would be to run normalized cross correlations of a stocks day with its past days, and compare that to other stocks past days, but I’d figure I would get your guys’ input first.