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mjburgesstoday at 12:35 AM1 replyview on HN

The claim is that the RSI operation is just finding a fixed point of improvement,

RSI(LLM) = RSI(LLM) -- for an optimal LLM* which is a fixed point of RSI

As for eigenvalues/vectors, they're fixed points of (1/val)A or A*val


Replies

ekiddtoday at 2:26 AM

Eigenvectors represent fixed directions, not fixed magnitudes. From Wikipedia:

> More precisely, an eigenvector v of a linear transformation T is scaled by a constant factor lambda when the linear transformation is applied to it: Tv = lambda v .

In other words, repeated multiplication of an eigenvector by a matrix can still create exponential growth.