‘’’ these are the vectors that when viewed as linear functionals, annihilate every column of A . <…> Another way to view it: these are the vectors orthogonal to the row space. ‘’’
It’s quite obvious that vectors that “annihilate the columns” would be orthogonal to the column space not the row space.
I don’t know if you think o1 is magic. It still hallucinates, just less often and less obvious.
"Support, the calculator gave a bad result for 345987*14569" // "Yes, well, also your average human would"
...That why we do not ask "average humans"!
So the result might not necessarily be bad, it's just that the machine _can_ detect that you entered the wrong figures! By the way, the answer is 7.
> Can you please give an example of a “completely illogical statement” produced by o1 model? I suspect it would be easier to get an average human to produce an illogical statement.
And the whole point is nonsensical. If you discussed whether it would be ethically acceptable to canaries it would make more sense.
"The database is losing records...!" // "Also people forget." : that remains not a good point.
Sticking instead to the core matter: the architecture is faulty, unsatisfactory by design, and must be fixed. We are playing with the partials of research and getting some results, even some useful tools, but the idea that this is not the real thing must be clear - also since this two years plus old boom brought another horribly ugly cultural degradation ("spitting out prejudice as normal").
> For simple tasks where we would alternatively hire only ordinary humans AIs have similar error rates.
Yes if a task requires deep expertise or great care the AI is a bad choice. But lots of tasks don't. And in those kinds of tasks even ordinary humans are already too expensive to be economically viable
> But lots of tasks
Do you have good examples of tasks in which dubious verbal prompt could be an acceptable outcome?
By the way, I noticed:
> AI
Do not confuse LLMs with general AI. Notably, general AI was also implemented in system where critical failures would be intolerable - i.e., made to be reliable, or part of a finally reliable process.
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