published on 10.11.2018

Convex Sets

Bir küme içerisinden seçilen her bir iki nokta için; bu iki nokta bir doğru ile birleştirildiğinde eğer bu doğru küme içerisinde kalıyorsa bu set convex settir.

Convex Sets
Convex Sets

Any two convex set that don’t touch each other(don’t intersect) can be seperated by a simple straight line.

Convex & Concave Functions

Seçilen herhangi iki nokta düz bir doğru ile birleştirildiğinde bu doğru fonksiyonun üzerinde kalıyorsa, fonksiyona convex fonksiyon denir. Altında kalıyorsa konkav fonksiyon denir.

f is convex if $f''(x)>0$

Convex Function
Convex Function

f is concave if $f''(x)<0$

Concave Function
Concave Function

Affine Functions
Affine Functions

Eğer fonksiyon, multivariable ise $f(x,y,z,…)$ gibi… Her bir değişken için ikinci kısmi türevine (second order partial derivative) bakılır ve Hessian matrisi oluşturulur.

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Published on 10.11.2018 by Mert Bakır with commit 4fa6ba7.
karalama
#math
published on 10.11.2018

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