hgibbs

If you want to work in a Hilbert space (i.e. have angles) then you are stuck with the euclidean metric up to scaling of the axes.

Can you give an example? I am unfamiliar (and interested).

The term "matrix derivative" is a bit loaded - you can either mean the derivative of functions with matrix arguments, or functions with vector arguments that have some matrix multiplication terms. Either way, I don't really understand what the confusion is about - if you slightly modify the definition of a derivative to be directional (e.g. lim h->0 (f(X + hA) - f(X))/h) then all of this stuff looks the same (vector derivatives, matrix derivatives and so forth). Taking this perspective was very useful during my PhD where I had to work with analytic operator valued functions.

Yes UNSW maths. Maybe everybody else had it figured out, but certainly Norman was the first to publicly acknowledge that all the learning would have to be online within a few months.

I made a public bet with Norman in early 2020 (late Feb) about whether the university we were at would hold classes until the end of the term (he believed they would not due to covid). Norman was the only one with the guts to publicly point out the obvious (anybody with the Wikipedia page for China case numbers and a spreadsheet could have figured out what was going to happen in late Feb). Among other things he was a great lecturer and a talented go player, although I never really thought that rational trig was worth all the effort - regular math seems to have plenty of utility even if you think it is built on shaky philosophical foundations.

Earthsea is great. Ursula also wrote a lot of amazing science fiction: left hand of darkness, the dispossessed, the lathe of heaven, the word for world is forest etc. All are worth reading.

I would appreciate references on the time complexity of merging sorted lists (if I am not worried about space complexity at all), for arbitrary n and m. There is an excellent discussion in Volume 3 of TAOCP, but the references within are quite old.

Why do you say it fits very few uses cases?

Having a paper published can take a very very long time, a year is quite short and 6 months is basically the minimum wait. My last paper has taken 2 years to be accepted from the first time I submitted it, despite it being largely the same as the initial submission, accepted as part of my thesis over a year ago, and having several citations. It is very frustrating, and it also means that easier (and less original) work is easier to publish.

But the symptoms of covid are very similar to e.g. the flu, and this would make you and your partner some of the first people on Europe to have had covid (given exponential increase in case counts it cannot have circulated for long before early 2020). My prior on anybody having covid in Europe in Dec 2019 is extremely low, I think yours should be too - just having been really sick is no evidence at all.

My point is exactly that though - the choice of cost function is subjective. There is no best cost function, just a mapping from costs functions to optimal strategies.

As a point of curiosity, what do you mean by optimal?

To me, I can see at least two (potentially different) cost functions that a Wordle strategy can aim to minimise. Firstly, you can try to minimise the expected number of guesses, and secondly you can try to minimise the expected number of guesses conditional on never losing the game. In principle you could optimise for the first but not the second by allowing a small list of hard words to take > 6 guesses on average.

Part of my point is the lack of an absolute definition of optimal: strategies are only optimal up to the specified coat function.

Very roughly I think you are saying that it is unclear whether rationalists are thinking differently, or whether the think in the same fashion and just think that they think differently?

I suspect their are elements of both: I believe some members of the rationality community do routinely think in a different way to many other people, but I also believe that there is some post hoc rationalisation (as you put it) in the community as well.

Try lesswrong.com