Re:Troubling Trends in Machine Learning Scholarship
by cosmic_ape on Wednesday July 11, 2018 @04:08AM
(#17505241)
Adam may be not the clearest example. I'd say the clearest example is the original GAN paper, where "theorems" where completely unrelated to what they were doing and trivial at the same time.
>>and even if it risks publishing an accidentally incorrect proof.
No. If a researcher has even a slightest doubt about the correctness of their proof, they should either spend the time to verify it or talk to an expert. There is no lack of experts in convex optimization in particular. Or, instead of publishing the proof, one could just say "we believe this is provable by these methods". But one can not try and shift the burden of verification to the readers, while claiming the results. This is not how trust is built.
Re:Troubling Trends in Machine Learning Scholarship
by blt on Wednesday July 11, 2018 @04:06AM
(#17505232)
Yeah I read that proof as more of a reassurance than an emphasized part of the paper. If the method does not even work on convex problems, it's highly suspicious as a tool for nonconvex problems.
Re:Troubling Trends in Machine Learning Scholarship
by AstralStorm on Wednesday July 11, 2018 @03:53AM
(#17505171)
Yes, but why do it on paper when you can use an automated prover instead, since you're proving properties of an algorithm?
It smells of laziness...
I strongly disagree here. Researchers, please keep trying to prove that your proposed optimizers are correct, even if you can only manage to prove it for a subclass of problems, and even if it risks publishing an accidentally incorrect proof.