Duality: duality in linear optimization

[@kamalelyaakoubi1918]

I never understoud the duality in linear problems and it's relationship to the duality in genereal (with the Lagrangien) until now. Thank you very much!

[@andykandolf1948]

great playlist, concise and didactically valuable! thx :-))

[@bcatlog]

CLEARLY explained! merci!

[@Jacob-jc6hj]

You are a great teacher.

[@erickgomez7775]

Thanks!!! Awesome explanation. I just have one question. Why do you add mu greater than zero???

[@MichelBierlaire]

Because it is associated with an inequality constraint. Therefore, the penalty must be applied only when the constraint is positive.

[@shadowhell5289]

great videos professor

[@adilfarooq1430]

Best explanation. Thanks Michel!

[@MichelBierlaire]

My pleasure!

[@ramzihedimay1179]

Many thanks. Great video.

[@alaahesham250]

Thanks a lot , please continue

[@marjanyaghoobi7444]

Thanks a lot. It was a very helpful video.

[@Maciek17PL]

I dont understand why at 3:55 it became maximization problem, maximizing lambda^T*b would increase lagrangian and we wanted to minimize it

[@frazulabrar]

Hello. You can see his previous lecture to understand it. The dual problem is finding the best lower bound to the primal problem, and since the dual function is a lower bound on the value of the primal problem solved optimally, we maximize the dual function to get that best lower bound.

[@Engineer884]

@@frazulabrar can you please elaborate more? I saw the previous video, but still not fully convinced.

[@QingyuMo-w6k]

@@frazulabrar Very nice explanation, thank you!

[@greengreekloyalfan]

Great video, you should come to ETH xD

[@MichelBierlaire]

:-)

[@nourakh6103]

Thank you so much

[@DataScience-py1pe]

Merci