Multi-Fidelity Trade-off Explorer
Multi-fidelity modeling combines data from simulations of different accuracy levels (fidelities) to create more accurate predictions than using high-fidelity data alone. It's like using both rough sketches and detailed blueprints to design a building!
Fidelity Levels Explained:
🔴 High-Fidelity (HF)
- Accuracy: Most accurate, closest to reality
- Cost: Most expensive (computational time/money)
- Use: Critical for final validation
- Example: Full CFD simulation with fine mesh
🟡 Medium-Fidelity (MF)
- Accuracy: Moderate accuracy
- Cost: Moderate cost
- Use: Good balance for many applications
- Example: CFD with coarser mesh
🟢 Low-Fidelity (LF)
- Accuracy: Lower accuracy but captures main trends
- Cost: Very cheap (fast computation)
- Use: Quick exploration, trend identification
- Example: Potential flow theory, empirical correlations
The Multi-Fidelity Advantage:
- 💰 Cost Efficiency: Get better accuracy per dollar spent
- ⚡ Speed: Faster than high-fidelity only
- 🎯 Smart Allocation: Use expensive simulations where they matter most
- 📊 Better Predictions: Often outperforms single-fidelity approaches
Key Concepts You'll Explore:
- Budget Allocation: How to split your computational budget
- Fidelity Selection: Which fidelity levels to use
- Cost-Benefit Analysis: When multi-fidelity pays off
- Diagnostic Metrics: How to assess multi-fidelity suitability
⚙️ Experiment Configuration
Problem Setup:
Number of parameters (dim)
Low-fidelity type
Budget & Allocation:
5 30
0 1
Advanced Settings:
MF initial span
Baseline polynomial degree (HF/LF models)
5 200
0.01 0.99