But, AFAICT, the best autonomous racecars (scale or full size) are still far from beating a human.
Audi did this big thing a few months back with an autonomous RS7 versus a pro racing driver in same weight/spec RS7 [1]. The human absolutely killed the autonomous car, beat it by over nine seconds on a sub-two-minute lap at Sonoma.
If you translate that into Top Gear race track times set by the Stig, it's like the difference between a Bugatti Veyron and the fastest Mercedes E-class.
[1] http://www.roadandtrack.com/car-culture/a27200/819-roa-2015-...
Not that far. Stanford University's Audi TTS ‘Shelley’ beats David Vodden, the racetrack CEO and amateur touring class champion at Thunderhill Raceway Park sometimes.
http://www.nbcnews.com/science/science-news/driverless-car-c...
What kind of race car are the humans driving? Does it have electronic stability control? Anti-lock breaks? Power steering? Automatic transmission? These are just a few of the many innovations that make it easier for a human to drive more easily at a high level of performance. The line between autonomous and human-operated cars is blurry.
Could a traction control/autonomous steering system be designed to push the envelope and risk losing traction as effectively as (or far more effectively than) a pro driver? Almost certainly, but I'm not sure how hard of a problem that will be.
As you can see by looking at the F1 active suspension ban in the 90s, when tuned for performance, these systems provided a real edge to even the best pro-drivers.
A purely mechanical car (no electronics to help control any car functions at all) driven by a human most probably wont be able to match an AI controlled car (steering, accelerator, brake, gear, suspension).
(Last night's fastest lap in the MotoGP race at Mugello was 5 hundredths slower than the class lap record set back in 2013. Admittedly there've been rule changes, but the humans aren't getting much faster.))
I don't know how close to that limit the best humans have come, but it wouldn't surprise me too much to find that it's within a second or two.
You let an optimizer do its work within whatever constraints you want, it will nose out a solution. If the goal is to maximize speed without regard to fuel and rubber consumption, power slides are in the cards.
No need to "teach" or "learn". Math works.