> "TurboQuant starts by randomly rotating the data vectors. This clever step simplifies the data's geometry"
I don't understand how taking a series of data and applying a random rotation could mathemetically lead every time to "simpler" geometry.If I throw a bunch of shapes on the ground, tightly packed and touching each other, then rotate all of them, you can't guarantee that the new conglomerate shape is any more/less "simple" than before, right?
> "Johnson-Lindenstrauss Transform to shrink complex, high-dimensional data while preserving the essential distances and relationships between data points. It reduces each resulting vector number to a single sign bit (+1 or -1)."
How can a boolean value preserve all of the relational and positional information between data points?Is is something like pattern based compression where the algorithm finds repeating patterns and creates an index of those common symbols or numbers?
Does this mean I would be able to run 500b model on my 48gb macbook without loosing quality?