January 2024
Intermediate to advanced
408 pages
13h 21m
English
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Chapter 13: Divergent optimization algorithm and synthetic functions
When all else fails
Abstract
In this chapter, I discuss an unusual optimization algorithm. Why would anyone be interested in an algorithm that never converges to the solution you are looking for? This version of the fixed-point iteration, when approaching a zero or an optimum, emits a strong signal and allows you to detect a small interval likely to contain the solution: the zero or global optimum in question. It may approach the optimum quite well, but subsequent iterations do not lead to convergence: the algorithm eventually moves away from the optimum, or oscillates around the optimum without ever reaching it.
The fixed-point iteration [Wiki] is the mother of all optimization ...
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.