[shkkmo]

It took a sec but I parsed "a minimal local maximum" as "from the set of all local maximums, this local maximum is near the bottom." Thus it is a local maximum, so any small change produces a worse result, but it is one of the worst local maximums you could have found.

[dontlikeyoueith]

> Thus it is a local maximum, so any small change produces a worse result

I have ML engineer brain, so to me any small change from a local maximum is an IMPROVEMENT (because we try to minimize loss functions).

Your reading makes more sense.