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

Budget Sweep Analysis: