I was a researcher at the Large Hadron Collider around the time “Big Data” became a thing. We had one of the use cases where analyzing all the data made sense, since it boiled down to frequentist statistics, the more data, the better. Yet even with a global network of supercomputers at our disposal, we funnily figured out that fast local storage was better than waiting for huge jobs to finish. So, surprise, surprise,…
"If you can't do your statistical analysis in 1 to 5 TB of data, your methodology is flawed"
This is probably more about human limitations than math. There's a clear ceiling in how much flexibility we can use. That will also change with easier ways to run new kinds of analysis, but it increases with the logarithm of the amount of things we want to do.