Differential evolution - Revision history

Fall2024 Wiki Team26: /* Visualization */

2024-12-16T03:15:59Z

Visualization

← Older revision		Revision as of 23:15, 15 December 2024
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	The progression of the population during the Differential Evolution process is illustrated in the figures below. Each figure shows the distribution of the population at a specific iteration, demonstrating how the algorithm converges toward the global minimum of the function <math>f(x) = x^2</math>.		The progression of the population during the Differential Evolution process is illustrated in the figures below. Each figure shows the distribution of the population at a specific iteration, demonstrating how the algorithm converges toward the global minimum of the function <math>f(x) = x^2</math>.

	'''Figure 1''': Initial population distribution before any iterations.		'''Figure 1''': Initial population distribution before any iterations. [https://drive.google.com/file/d/12bfDfZCRMy0a85zDrEXwsifuWDf0Wcf2/view?usp=share_link View Figure 1: Initial population distribution before any iterations.]
	[~~[index~~.~~php~~?~~title~~=~~File:Ezgif-frame-001.png\|link=File~~:~~Ezgif-frame-001.png\|center\|thumb\|600x600px\|~~Initial population distribution before any iterations.]]
	'''Figure 2''': Population after the first iteration, showing improvement toward the global minimum.		'''Figure 2''': Population after the first iteration, showing improvement toward the global minimum. [https://drive.google.com/file/d/1A-miB_wZ9I13dNli09vaL81s_DkkYFAE/view?usp=share_link View Figure 2: Population after the first iteration, showing improvement toward the global minimum.]
	[~~[index~~.~~php~~?~~title~~=~~File:Ezgif-frame-006.png\|link=File~~:~~Ezgif-frame-006.png\|center\|thumb\|600x600px\|~~Population after the first iteration, showing improvement toward the global minimum.]]
	'''Figure 3''': Population after the second iteration, with further refinement of solutions.		'''Figure 3''': Population after the second iteration, with further refinement of solutions. [https://drive.google.com/file/d/1hMAQ_Cxbe3JFImiCzgnkKh2lnk2D1R7k/view?usp=share_link View Figure 3: Population after the second iteration, with further refinement of solutions.]
	[~~[index~~.~~php~~?~~title~~=~~File~~:~~Ezgif-frame-011.png\|link=File:Ezgif-frame-011.png\|center\|thumb\|600x600px\|~~Population after the second iteration, with further refinement of solutions.]]
	'''Figure 4''': Population after the fourth iteration, nearing convergence.		'''Figure 4''': Population after the fourth iteration, nearing convergence. [https://drive.google.com/file/d/132i2nEUx1PP6gjCv17TPMMjtCvCxi1VT/view?usp=sharing View Figure 4: Population after the fourth iteration, nearing convergence.]
	[~~[index~~.~~php~~?~~title~~=~~File:Ezgif-frame-018.png\|link=File~~:~~Ezgif-frame-018.png\|center\|thumb\|600x600px\|~~Population after the fourth iteration, nearing convergence.]]
	'''Figure 5''': Final population converging to the global minimum at <math>x = 0</math>.		'''Figure 5''': Final population converging to the global minimum at <math>x = 0</math>. [https://drive.google.com/file/d/1itJ6gvHnp_WdOeHAWXBHM_F2IEYm9WkZ/view?usp=sharing View Figure 5: Final population converging to the global minimum at <math>x = 0</math>.]
	[~~[index~~.~~php~~?~~title~~=~~File~~:~~Ezgif-frame-025.png\|link=File:Ezgif-frame-025.png\|center\|thumb\|600x600px\|~~Final population converging to the global minimum at <math>x = 0</math>.]]

Fall2024 Wiki Team26: /* Visualization */

2024-12-16T03:10:12Z

Visualization

← Older revision		Revision as of 23:10, 15 December 2024
Line 131:		Line 131:
	== Visualization ==		== Visualization ==
	The progression of the population during the Differential Evolution process is illustrated in the figures below. Each figure shows the distribution of the population at a specific iteration, demonstrating how the algorithm converges toward the global minimum of the function <math>f(x) = x^2</math>.		The progression of the population during the Differential Evolution process is illustrated in the figures below. Each figure shows the distribution of the population at a specific iteration, demonstrating how the algorithm converges toward the global minimum of the function <math>f(x) = x^2</math>.
	[[index.php?title=File:Ezgif-frame-001.png\|link=File:Ezgif-frame-001.png\|center\|thumb\|600x600px\|~~Figure 1:~~ Initial population distribution before any iterations.]]
	[[index.php?title=File:Ezgif-frame-006.png\|link=File:Ezgif-frame-006.png\|center\|thumb\|600x600px\|~~Figure 2:~~ Population after the first iteration, showing improvement toward the global minimum.]]		'''Figure 1''': Initial population distribution before any iterations.
	[[index.php?title=File:Ezgif-frame-011.png\|link=File:Ezgif-frame-011.png\|center\|thumb\|600x600px\|~~Figure 3:~~ Population after the second iteration, with further refinement of solutions.]]		[[index.php?title=File:Ezgif-frame-001.png\|link=File:Ezgif-frame-001.png\|center\|thumb\|600x600px\|Initial population distribution before any iterations.]]
	[[index.php?title=File:Ezgif-frame-018.png\|link=File:Ezgif-frame-018.png\|center\|thumb\|600x600px\|~~Figure 4:~~ Population after the fourth iteration, nearing convergence.]]		'''Figure 2''': Population after the first iteration, showing improvement toward the global minimum.
	[[index.php?title=File:Ezgif-frame-025.png\|link=File:Ezgif-frame-025.png\|center\|thumb\|600x600px\|~~Figure 5:~~ Final population converging to the global minimum at <math>x = 0</math>.]]		[[index.php?title=File:Ezgif-frame-006.png\|link=File:Ezgif-frame-006.png\|center\|thumb\|600x600px\|Population after the first iteration, showing improvement toward the global minimum.]]
			'''Figure 3''': Population after the second iteration, with further refinement of solutions.
			[[index.php?title=File:Ezgif-frame-011.png\|link=File:Ezgif-frame-011.png\|center\|thumb\|600x600px\|Population after the second iteration, with further refinement of solutions.]]
			'''Figure 4''': Population after the fourth iteration, nearing convergence.
			[[index.php?title=File:Ezgif-frame-018.png\|link=File:Ezgif-frame-018.png\|center\|thumb\|600x600px\|Population after the fourth iteration, nearing convergence.]]
			'''Figure 5''': Final population converging to the global minimum at <math>x = 0</math>.
			[[index.php?title=File:Ezgif-frame-025.png\|link=File:Ezgif-frame-025.png\|center\|thumb\|600x600px\|Final population converging to the global minimum at <math>x = 0</math>.]]

Fall2024 Wiki Team26: /* Visualization */

2024-12-16T03:06:03Z

Visualization

← Older revision		Revision as of 23:06, 15 December 2024
Line 131:		Line 131:
	== Visualization ==		== Visualization ==
	The progression of the population during the Differential Evolution process is illustrated in the figures below. Each figure shows the distribution of the population at a specific iteration, demonstrating how the algorithm converges toward the global minimum of the function <math>f(x) = x^2</math>.		The progression of the population during the Differential Evolution process is illustrated in the figures below. Each figure shows the distribution of the population at a specific iteration, demonstrating how the algorithm converges toward the global minimum of the function <math>f(x) = x^2</math>.
			[[index.php?title=File:Ezgif-frame-001.png\|link=File:Ezgif-frame-001.png\|center\|thumb\|600x600px\|Figure 1: Initial population distribution before any iterations.]]
	~~'''Figure 1''': Initial population distribution.~~		[[index.php?title=File:Ezgif-frame-006.png\|link=File:Ezgif-frame-006.png\|center\|thumb\|600x600px\|Figure 2: Population after the first iteration, showing improvement toward the global minimum.]]
	[[index.php?title=File:Ezgif-frame-001.png\|link=File:Ezgif-frame-001.png\|center\|600x600px\|Initial population distribution before any iterations.]]		[[index.php?title=File:Ezgif-frame-011.png\|link=File:Ezgif-frame-011.png\|center\|thumb\|600x600px\|Figure 3: Population after the second iteration, with further refinement of solutions.]]
	~~'''Figure 2''': Population after Iteration 1.~~		[[index.php?title=File:Ezgif-frame-018.png\|link=File:Ezgif-frame-018.png\|center\|thumb\|600x600px\|Figure 4: Population after the fourth iteration, nearing convergence.]]
	[[index.php?title=File:Ezgif-frame-006.png\|link=File:Ezgif-frame-006.png\|center\|600x600px\|Population after the first iteration, showing improvement toward the global minimum.]]		[[index.php?title=File:Ezgif-frame-025.png\|link=File:Ezgif-frame-025.png\|center\|thumb\|600x600px\|Figure 5: Final population converging to the global minimum at <math>x = 0</math>.]]
	~~'''Figure 3''': Population after Iteration 2.~~
	[[index.php?title=File:Ezgif-frame-011.png\|link=File:Ezgif-frame-011.png\|center\|600x600px\|Population after the second iteration, with further refinement of solutions.]]
	~~'''Figure 4''': Population after Iteration 4.~~
	[[index.php?title=File:Ezgif-frame-018.png\|link=File:Ezgif-frame-018.png\|center\|600x600px\|Population after the fourth iteration, nearing convergence.]]
	~~'''Figure 5''': Final population after Iteration 5.~~
	[[index.php?title=File:Ezgif-frame-025.png\|link=File:Ezgif-frame-025.png\|~~alt=Final population converging to the global minimum at~~



	x
	~~<nowiki/>=~~
	0


	~~{\displaystyle x=0}~~

	.\|~~center~~\|600x600px\|Final population converging to the global minimum at <math>x = 0</math>.]]

Fall2024 Wiki Team26: Solved Image error

2024-12-16T03:03:08Z

Solved Image error

← Older revision		Revision as of 23:03, 15 December 2024
Line 129:		Line 129:


	=== Visualization ===		== Visualization ==
	The progression of the population during the Differential Evolution process is illustrated in the figures below. Each figure shows the distribution of the population at a specific iteration, demonstrating how the algorithm converges toward the global minimum of the function <math>f(x) = x^2</math>.		The progression of the population during the Differential Evolution process is illustrated in the figures below. Each figure shows the distribution of the population at a specific iteration, demonstrating how the algorithm converges toward the global minimum of the function <math>f(x) = x^2</math>.

Fall2024 Wiki Team26: Updated Differential Evolution

2024-12-16T02:59:24Z

Updated Differential Evolution

Show changes

SYSEN5800TAs at 18:53, 10 December 2024

2024-12-10T18:53:55Z

← Older revision		Revision as of 14:53, 10 December 2024
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	Fall 2024 ~~new page creation~~		Author: Rohit Kumar (rk787) (ChemE 6800 Fall 2024)

			Stewards: Nathan Preuss, Wei-Han Chen, Tianqi Xiao, Guoqing Hu

Youfengqi: Created page with "Fall 2024 new page creation"

2024-12-04T20:46:52Z

Created page with "Fall 2024 new page creation"

New page

Fall 2024 new page creation