Hi Vanesssa,
Perhaps given my short-term preference, it's not surprising that I find it hard to track very deep comment threads, but let me just give a couple of short responses.
I don't think the argument on hacking relied on the ability to formally verify systems. Formally verified systems could potentially skew the balance of power to the defender side, but even if they don't exist, I don't think balance is completely skewed to the attacker. You could imagine that, like today, there is a "cat and mouse" game, where both attackers and defenders try to find...
Hi Vanessa,
Let me try to respond (note the claim numbers below are not the same as in the essay, but rather as in Vanessa's comment):
Claim 1: Our claim is that one can separate out components - there is the predictable component which is non stationary, but is best approximated with a relatively simple baseline, and the chaotic component, which over the long run is just noise.In general, highly complex rules are more sensitive to noise (in fact, there are theorems along these lines in the field of Analysis of Boolean Functions), and so in the long run, the...
It is indeed the case that sometimes we see phase transitions / discontinuous improvements, and this is an area which I am very interested in. Note however that (while not in our paper) typically in graphs such as BIG-Bench, the X axis is something like log number of parameters. So it does seem you pay quite a price to achieve improvement.
The claim there is not so much about the shape of the laws but rather about potential (though as you say, not certain at all) limitations as to what improvements you can achieve through pure software alone, wi...
Thank you! I think that what we see right now is that as the horizon grows, the more "tricks" we need to make end-to-end learning works, to the extent that it might not really be end to end. So while supervised learning is very successful, and seems to be quite robust to choice of architecture, loss functions, etc., in RL we need to be much more careful, and often things won't work "out of the box" in a purely end to end fashion.
I think the question would be how performance scales with horizon, if the returns are rapidly diminishing, and the cost to ... (read more)