My wild-assed guess? Based only on the ridiculous amount of computation needed to simulate neurons, the first roughly human-like AI will stretch the hardware it's running on, and the budget of the organization responsible, to its absolute limit. It will probably not even run in real time, more like 1:100 or worse, with its creators rationalizing that ratio as actually being good for their scientific purposes (a slow-motion process is easier to control, study, debug). Hardware is hard and expensive, and attempts to scale up to real time will only be made once there is a convincing case that there are no easy design gains left to be had. It will take years.
And once that happens, you will have a roughly human-like AI who has no more of a clue how to make itself smarter than you and I do.
"A scientific theory is a well-substantiated explanation of some aspect of the natural world that is acquired through the scientific method and repeatedly tested and confirmed, preferably using a written, pre-defined, protocol of observations and experiments. Scientific theories are the most reliable, rigorous, and comprehensive form of scientific knowledge."
There is of course no such thing for intelligence; if there were, general artificial intelligence would be a mere implementation problem. It is anything but.
As for "metrics", I guess you mean IQ tests. But being able to measure a manifestation of a thing (e.g. "this mineral affects photographic plates at a distance") is far from identical to having any understanding of that thing (e.g. nuclear physics).
I am not even sure if we need to understand it fully to build an AI that is capable.or producing the measurable output of it. Since it will outperform humans in everything it doesnt matter imo.
I suggest the book Superintelligence talks about these exact questions.
Semi jokingly, we understand much less of quantum theory than intelligence.
Psychometrics is a field of study concerned with the theory and technique of psychological measurement. [1]
It is most definitely not a theory of intelligence.
> I am not even sure if we need to understand it fully to build an AI
Indeed not, since it is completely irrelevant to how intelligence works.
> I suggest the book Superintelligence talks about these exact questions.
I've read it. A TLDR would go something like this: "Suppose we were to create an almighty entity which does not share our values. Could that be a problem for us? Gosh, yes!".
Wild assumptions aside, it makes no mention of psychometrics (of course).
> Semi jokingly, we understand much less of quantum theory than intelligence.
Quite seriously: absolutely not. Quantum mechanics is a perfectly well defined mathematical construct. It makes experimentally verifiable predictions. Our best, most precise theories of nature are quantum theories.
We have no theory of intelligence.
That obviously does not mean that we will never know. It does not even mean that we necessarily need to know. In fact, a scenario which Yudkowski likes to worry about is that somebody will essentially make brain-like hardware and get something going without any real understanding of how it works. That "only" requires duplicating the structure of the brain, not understanding it. That is the scenario which I alluded to in my wild-assed guess.
Whichever approach turns out to be the one that first gets to a human-level AI, the fact that we do not have a theory makes it impossible to predict how long it will take and how fast the result will be able to improve. Even if all we need to do is mass-produce a few million functional equivalents of cortical columns and hook them all up somehow, we are not currently able to guess how the resulting intelligence will scale. If we double the number of columns, will its IQ double? Quadruple? Or maybe only grow linearly, or logarithmically, or as the square root of the number of columns? Or maybe not grow at all, because it's not just a matter of quantity, but of certain architectural features which do not scale?
We are pretty well compartmentalised against 'superior intelligence' anyway so it seems. Not too many philosopher kings around these last few millennia.
Find patterns a human would never be able to. Find winning strategies we could not predict. Building models that don't fit a human brain.
An example would be recent AlphaGo matches: AlphaGo wins. We don't know how it wins, we can't predict it's strategy, we just know it wins.
This is all just an expression of innately human capability. Bigger and faster does not mean different in kind.
Exponential growth starts very slow, even slower than linear growth at first.