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Poplar Optimization Algorithm || Step-By-Step || ~xRay Pixy

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The Poplar Optimization Algorithm (POA) is a nature-inspired optimization method based on how poplar trees reproduce. It uses sexual propagation (seed dispersal by wind) for exploration and asexual reproduction (cutting and regrowth) for exploitation. Mutation and chaos factors help maintain diversity and prevent premature convergence, making POA efficient for solving complex optimization problems. Learn the Poplar Optimization Algorithm Step-By-Step using Examples. Video Chapters: Poplar Optimization Algorithm (POA) 00:00 Introduction 02:12 POA Applications 03:32 POA Steps 05:50 Execute Algorithm 1 13:45 Execute Algorithm 2 16:38 Execute Algorithm 3 18:15 Conclusion Main Points of the Poplar Optimization Algorithm (POA) Nature-Inspired Algorithm ā€“ Based on the reproductive mechanisms of poplar trees. Two Key Processes : Sexual Propagation (Seed Dispersal) ā€“ Uses wind to spread seeds, allowing broad exploration. Asexual Reproduction (Cuttings) ā€“ Strong branches grow ...

Find Maxima of Function using PSO Method || Numerical Example || ~xRay Pixy

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Find the maximum value for the objective function using Particle Swarm Optimization Step-By-Step. Video Chapters: Find the Maxima of Function using the PSO Method 00:00 Introduction 02:18 Objective 03:17 Maximization Problem 04:22 Particle Swarm Optimization Steps 05:22 Step 1 - Objective Function 05:30 Step 2 - Position and Velocity Initialization 06:00 Step 3 - Fitness Calculation 07:06 Step 4 - Update Personal Best 07:16 Step 5 - Update Global Best 07:42 Step 6 - Position Update 10:34 Step 7 - Solution Boundary Checking 10:53 Step 8 - New Solution Evaluation 11:31 Step 9 - Update Personal Best 12:12 Step 10 - Update Global Best 13:24 Iteration 2 Start - Position Update 14:45 New Solution Boundary Checking 15:24 New Solution Fitness Calculation 15:48 Update Personal Best 16:32 Update Global Best 17:42 Conclusion Problem: Find the Maxima of the function ļæ½ ( ļæ½ ) = ļæ½ 2 + 2 ļæ½ + 11 f ( x ) = x 2 + 2 x + 11 ļæ½ ( ļæ½ ) = ļæ½ 2 + 2 ļæ½ + 11 f ( x ) = x 2 in the range -2<=x<=2 using PSO m...
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