only one video in he entire internet that explains parabolic interpolation so well. Thanks
@AhmedAli---oc7sk
4 жыл бұрын
You are a life saver .. Thank you.
@AJ-et3vf
Жыл бұрын
Great video. Thank you
@rom_strom
4 жыл бұрын
Fantastic video, thank you
@flaguser4196
2 жыл бұрын
thanks! looks intuitive and efficient. but wouldn't the gradient still be necessary to define the search line when there are more dimensions?
@MichelBierlaire
2 жыл бұрын
Not necessarily the gradient. The method can be applied to any descent direction. The point is that the problem of finding a step along a descent direction is a one-dimensional optimization problem, called "linesearch". Quadratic interpolation is just one way to solve it.
@edikedik8860
3 жыл бұрын
Without taking the derivative, how do we know the location of x*?
@MichelBierlaire
2 жыл бұрын
x^* is the minimum of a convex parabola.
@manuelfrn
4 жыл бұрын
Math is so basic, compared with real life...But, that's only what we have:)
@lifecat8452
2 ай бұрын
Thanks a lot ! I have a question that I hope you can answer. We have obtained the position where ℎ(𝑥∗)achieves its minimum value, that is, when 𝑥=𝑥∗ ,ℎ(𝑥) reaches its minimum. When I set 𝑥∗ = 𝑥𝑘 + 𝛼𝑑𝑘 to find the step size, is it possible for 𝛼 to fall outside the range[0,1]?
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