Challenge: Implement Particle Swarm Optimization
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You are asked to implement the core update logic for a Particle Swarm Optimization (PSO) algorithm. The goal is to find the minimum of the function f(x) = x² + 5 * sin(x) on the interval [-10, 10].
All the parameters (like inertia w, cognitive c1, and social c2) and initial lists (positions, velocities, pbest_positions, pbest_values, gbest_position, gbest_value) are already set up for you.
Your task is to fill in the main iterative process:
- Inside the inner
forloop (for each particlei), you must first update the particle's velocity. Use the full PSO velocity update equation:w * velocities[i] + c1 * r1 * (pbest_positions[i] - positions[i]) + c2 * r2 * (gbest_position - positions[i]). - Update the particle's position by adding its new
velocities[i]topositions[i]. - After calculating the new
valueatpositions[i], check if this newvalueis better than the particle's personal best (pbest_values[i]). If it is, you must update bothpbest_positions[i]andpbest_values[i]. - After the inner loop (which updates all particles), check if the new best personal value (which you find and store in
min_value) is better than the current global best (gbest_value). If it is, update bothgbest_valueandgbest_position.
Lösning
Tack för dina kommentarer!
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Challenge: Implement Particle Swarm Optimization
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Swipe to start coding
You are asked to implement the core update logic for a Particle Swarm Optimization (PSO) algorithm. The goal is to find the minimum of the function f(x) = x² + 5 * sin(x) on the interval [-10, 10].
All the parameters (like inertia w, cognitive c1, and social c2) and initial lists (positions, velocities, pbest_positions, pbest_values, gbest_position, gbest_value) are already set up for you.
Your task is to fill in the main iterative process:
- Inside the inner
forloop (for each particlei), you must first update the particle's velocity. Use the full PSO velocity update equation:w * velocities[i] + c1 * r1 * (pbest_positions[i] - positions[i]) + c2 * r2 * (gbest_position - positions[i]). - Update the particle's position by adding its new
velocities[i]topositions[i]. - After calculating the new
valueatpositions[i], check if this newvalueis better than the particle's personal best (pbest_values[i]). If it is, you must update bothpbest_positions[i]andpbest_values[i]. - After the inner loop (which updates all particles), check if the new best personal value (which you find and store in
min_value) is better than the current global best (gbest_value). If it is, update bothgbest_valueandgbest_position.
Lösning
Tack för dina kommentarer!
single