Test functions for optimization - Revision history

MrOllie: Reverted 1 edit by 128.46.161.197 (talk): No

2025-02-18T21:59:03Z

Reverted 1 edit by 128.46.161.197 (talk): No

@@ Line 202: / Line 202: @@
 |-
 ! Name !! Plot           !! Formula !! Global minimum !! Search domain
 |-
 | Rosenbrock function constrained to a disk<ref>{{Cite web|url=https://www.mathworks.com/help/optim/ug/example-nonlinear-constrained-minimization.html?requestedDomain=www.mathworks.com|title=Solve a Constrained Nonlinear Problem - MATLAB & Simulink|website=www.mathworks.com|access-date=2017-08-29}}</ref>
@@ Line 233: / Line 225: @@
 || <math>f(2.0052938,1.1944509) = -2.0239884</math>
 || <math>-2.25\le x \le 2.25</math>, <math>-2.5\le y \le 1.75</math>
 |-

128.46.161.197: Undid deletion

2025-02-18T21:56:22Z

Undid deletion

@@ Line 202: / Line 202: @@
 |-
 ! Name !! Plot           !! Formula !! Global minimum !! Search domain
 |-
 | Rosenbrock function constrained to a disk<ref>{{Cite web|url=https://www.mathworks.com/help/optim/ug/example-nonlinear-constrained-minimization.html?requestedDomain=www.mathworks.com|title=Solve a Constrained Nonlinear Problem - MATLAB & Simulink|website=www.mathworks.com|access-date=2017-08-29}}</ref>
@@ Line 225: / Line 233: @@
 || <math>f(2.0052938,1.1944509) = -2.0239884</math>
 || <math>-2.25\le x \le 2.25</math>, <math>-2.5\le y \le 1.75</math>
 |-

MrOllie: clean out citespam added by block evader, see Wikipedia:Sockpuppet investigations/Simiprof/Archive

2025-02-05T17:32:38Z

clean out citespam added by block evader, see Wikipedia:Sockpuppet investigations/Simiprof/Archive

@@ Line 202: / Line 202: @@
 |-
 ! Name !! Plot           !! Formula !! Global minimum !! Search domain
 |-
 | Rosenbrock function constrained to a disk<ref>{{Cite web|url=https://www.mathworks.com/help/optim/ug/example-nonlinear-constrained-minimization.html?requestedDomain=www.mathworks.com|title=Solve a Constrained Nonlinear Problem - MATLAB & Simulink|website=www.mathworks.com|access-date=2017-08-29}}</ref>
@@ Line 233: / Line 225: @@
 || <math>f(2.0052938,1.1944509) = -2.0239884</math>
 || <math>-2.25\le x \le 2.25</math>, <math>-2.5\le y \le 1.75</math>
 |-

Geysirhead: /* Test functions for constrained optimization */

2025-01-04T08:57:17Z

Test functions for constrained optimization

← Previous revision		Revision as of 08:57, 4 January 2025
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	\|-		\|-
	\| '''Keane's bump function'''{{anchor\|Keane's bump function}}<ref>{{cite journal \|last1=Mishra \|first1=Sudhanshu \|title=Minimization of Keane’s Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods \|date=5 May 2007 \|url=https://econpapers.repec.org/paper/pramprapa/3098.htm \|journal=MPRA Paper\|publisher=University Library of Munich, Germany}}</ref>		\| '''Keane's bump function'''{{anchor\|Keane's bump function}}<ref>{{cite journal \|last1=Mishra \|first1=Sudhanshu \|title=Minimization of Keane’s Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods \|date=5 May 2007 \|url=https://econpapers.repec.org/paper/pramprapa/3098.htm \|journal=MPRA Paper\|publisher=University Library of Munich, Germany}}</ref>
			\|\| [[File:Estimation of Distribution Algorithm animation.gif\|200px\|Keane's bump function]]
	\|\|
	\|\| <math>f(x) = -\left\| \frac{\left[ \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right]}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,		\|\| <math>f(x) = -\left\| \frac{\left[ \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right]}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,
	subjected to: <math> 0.75 - \prod_{i=1}^m x_i < 0 </math>, and		subjected to: <math> 0.75 - \prod_{i=1}^m x_i < 0 </math>, and

Geysirhead at 08:55, 4 January 2025

2025-01-04T08:55:09Z

← Previous revision		Revision as of 08:55, 4 January 2025
Line 525:		Line 525:
	\|\|<math>-3\le x,y \le 3</math>.		\|\|<math>-3\le x,y \le 3</math>.
	\|}		\|}

		⚫	==References==
		⚫	<references/>

	== External links ==		== External links ==
	* [https://github.com/nathanrooy/landscapes landscapes]		* [https://github.com/nathanrooy/landscapes landscapes]

⚫	==References==

⚫	<references/>

	{{DEFAULTSORT:Test functions for optimization}}		{{DEFAULTSORT:Test functions for optimization}}

Geysirhead: /* Software */

2025-01-04T08:54:44Z

Software

← Previous revision		Revision as of 08:54, 4 January 2025
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	\|}		\|}

	== ~~Software~~ ==		== External links ==
	* [https://github.com/nathanrooy/landscapes landscapes]		* [https://github.com/nathanrooy/landscapes landscapes]

Geysirhead: /* Test functions for constrained optimization */

2024-12-29T12:53:23Z

Test functions for constrained optimization

← Previous revision		Revision as of 12:53, 29 December 2024
Line 260:		Line 260:

	\|-		\|-
	\| Keane's bump function<ref>{{cite journal \|last1=Mishra \|first1=Sudhanshu \|title=Minimization of Keane’s Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods \|date=5 May 2007 \|url=https://econpapers.repec.org/paper/pramprapa/3098.htm \|journal=MPRA Paper\|publisher=University Library of Munich, Germany}}</ref>		\| '''Keane's bump function'''{{anchor\|Keane's bump function}}<ref>{{cite journal \|last1=Mishra \|first1=Sudhanshu \|title=Minimization of Keane’s Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods \|date=5 May 2007 \|url=https://econpapers.repec.org/paper/pramprapa/3098.htm \|journal=MPRA Paper\|publisher=University Library of Munich, Germany}}</ref>
	\|\|		\|\|
	\|\| <math>f(x) = -\left\| \frac{\left[ \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right]}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,		\|\| <math>f(x) = -\left\| \frac{\left[ \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right]}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,

Geysirhead: /* Test functions for constrained optimization */

2024-12-24T12:43:51Z

Test functions for constrained optimization

← Previous revision		Revision as of 12:43, 24 December 2024
Line 262:		Line 262:
	\| Keane's bump function<ref>{{cite journal \|last1=Mishra \|first1=Sudhanshu \|title=Minimization of Keane’s Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods \|date=5 May 2007 \|url=https://econpapers.repec.org/paper/pramprapa/3098.htm \|journal=MPRA Paper\|publisher=University Library of Munich, Germany}}</ref>		\| Keane's bump function<ref>{{cite journal \|last1=Mishra \|first1=Sudhanshu \|title=Minimization of Keane’s Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods \|date=5 May 2007 \|url=https://econpapers.repec.org/paper/pramprapa/3098.htm \|journal=MPRA Paper\|publisher=University Library of Munich, Germany}}</ref>
	\|\|		\|\|
	\|\| <math>f(x) = -\left\| \frac{\left( \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right)}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,		\|\| <math>f(x) = -\left\| \frac{\left[ \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right]}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,
	subjected to: <math> 0.75 - \prod_{i=1}^m x_i < 0 </math>, and		subjected to: <math> 0.75 - \prod_{i=1}^m x_i < 0 </math>, and
	<math> \sum_{i=1}^m x_i - 7.5m < 0 </math>		<math> \sum_{i=1}^m x_i - 7.5m < 0 </math>

Geysirhead: /* Test functions for constrained optimization */

2024-12-24T12:42:28Z

Test functions for constrained optimization

← Previous revision		Revision as of 12:42, 24 December 2024
Line 262:		Line 262:
	\| Keane's bump function<ref>{{cite journal \|last1=Mishra \|first1=Sudhanshu \|title=Minimization of Keane’s Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods \|date=5 May 2007 \|url=https://econpapers.repec.org/paper/pramprapa/3098.htm \|journal=MPRA Paper\|publisher=University Library of Munich, Germany}}</ref>		\| Keane's bump function<ref>{{cite journal \|last1=Mishra \|first1=Sudhanshu \|title=Minimization of Keane’s Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods \|date=5 May 2007 \|url=https://econpapers.repec.org/paper/pramprapa/3098.htm \|journal=MPRA Paper\|publisher=University Library of Munich, Germany}}</ref>
	\|\|		\|\|
	\|\| <math>f(x) = -\left\| \frac{\left( \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right]}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,		\|\| <math>f(x) = -\left\| \frac{\left( \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right)}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,
	subjected to: <math> 0.75 - \prod_{i=1}^m x_i < 0 </math>, and		subjected to: <math> 0.75 - \prod_{i=1}^m x_i < 0 </math>, and
	<math> \sum_{i=1}^m x_i - 7.5m < 0 </math>		<math> \sum_{i=1}^m x_i - 7.5m < 0 </math>

Geysirhead: /* Test functions for constrained optimization */

2024-12-24T12:41:44Z

Test functions for constrained optimization

← Previous revision		Revision as of 12:41, 24 December 2024
Line 263:		Line 263:
	\|\|		\|\|
	\|\| <math>f(x) = -\left\| \frac{\left( \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right]}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,		\|\| <math>f(x) = -\left\| \frac{\left( \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right]}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right\| </math>,
	subjected to: <math> 0.75 - \prod_{i=1}^m x_i < 0 </math>		subjected to: <math> 0.75 - \prod_{i=1}^m x_i < 0 </math>, and
	<math> \sum_{i=1}^m x_i - 7.5m < 0 </math>		<math> \sum_{i=1}^m x_i - 7.5m < 0 </math>
	\|\| <math>f((1.60025376,0.468675907)) = -0.364979746</math>		\|\| <math>f((1.60025376,0.468675907)) = -0.364979746</math>