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Is_convex = all(diff(x, 2) > -margin)
- For this you have to define a vector of x-values, find the numerical second derivative and check whether it is not too negative: a = 0; b = 1; margin = 1e-5; point_count = 100; f=@(x) x.^2 + sin(x); x = linspace(a, b, point_count) is_convex = all(diff(x, 2) > -margin);
stackoverflow.com/questions/72297748/how-to-use-matlab-to-quickly-judge-whether-a-function-is-convexHow to use matlab to quickly judge whether a function is convex?
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To check the convexity of a cost function, calculates it second derivative and search its minimum value.
- How can i know through MATLAB tool that given function is ...
If your function has a second derivative, it is convex if...
- How can i know through MATLAB tool that given function is ...
Nov 19, 2015 · If a function is not convex, you can disprove convexity by finding a counterexample: Graph the function if 2d or 3d. Plot the value of the function applied to convex combinations of two random points and look for non-convex regions.
May 10, 2016 · If your function has a second derivative, it is convex if and only if that second derivative is always non-negative. If the second derivative is unobtainable, a function is convex if any chord connecting two points on the curve always lies on or above the portion of the curve between the two points. Look at this site for a definition:
The objective, or "cost", function — A scalar, nonnegative measure of controller performance to be minimized. Constraints — Conditions the solution must satisfy, such as physical bounds on MVs and plant output variables.
Feb 11, 2020 · One of the requirements for a cost function that can guarantee us to find a global minimum (using gradient descent) is that the cost function must be convex. How do I determine whether a function I'm using is convex (in the realm of machine learning) and only has a global minimum?
Given the following cost function, where t is the quantity of some product. $$C(t) = 1/3t^3 - 7t^2 +11t + 50$$ here is a graph between $t= 0$ and $t = 25$ We are asked if this function is convex...
To check the convexity of a cost function, calculates it second derivative and search its minimum value.
