in silico
Phase 1 : In Silico Validation on Synthetic Phantoms
- Objectif
- Determine whether the adjoint-based multiscale joint inversion framework can achieve the predicted improvements in NRMSE, edge sharpness, and cross-parameter correlation on a well-controlled numerical phantom, and whether the multiscale continuation strategy effectively avoids local minima.
- Coût estimé
- €1,000 - €2,000 (mostly for GPU compute time and personnel)
- Durée estimée
- 6-8 weeks
- Critères de réussite
- NRMSE reduction (joint vs. independent) · Mean NRMSE reduction ≥ 15% for T1, T2, D, and χ maps, with 95% CI lower bound ≥ 10% · (Compute NRMSE for each parameter map across 20 noise realizations. Perform one-tailed paired t-test (α=0.05, Bonferroni-corrected for 4 parameters).)
- Edge sharpness increase (Δr) · Mean Δr increase ≥ 20% for all parameter maps, with 95% CI lower bound ≥ 15% · (Measure edge spread function at the 2mm inclusion boundary. Compute Δr as the spatial frequency at 50% of the edge response. Perform one-tailed paired t-test (α=0.05, Benjamini-Hochberg corrected).)
- Cross-parameter correlation decrease (ρ) · Mean ρ decrease ≥ 30% between T1 and T2 errors, with 95% CI lower bound ≥ 20% · (Compute Pearson correlation between per-voxel T1 and T2 errors. Perform one-tailed paired t-test (α=0.05, Bonferroni-corrected for 6 parameter pairs).)
- On continue si
- All three success criteria are met (NRMSE reduction, edge sharpness increase, and ρ decrease) with statistical significance. The multiscale continuation converges without diverging in at least 19/20 noise realizations.
- On arrête si
- Any of the three success criteria fail to meet the threshold. The inversion diverges in more than 1/20 noise realizations, or the multiscale continuation fails to converge from the 8mm starting resolution.
- On réoriente si
- The joint inversion improves NRMSE but fails on edge sharpness or cross-parameter correlation. In this case, consider: (a) adjusting the weighting scheme between contrasts, (b) adding a regularization term (e.g., total variation) to the joint misfit, or (c) modifying the multiscale schedule (e.g., more steps, different starting resolution).
- Risques
- The adjoint method becomes unstable or diverges due to strong nonlinearities in the forward model (e.g., diffusion tensor model).Probabilité : mediumParade : Implement a line search or trust-region optimization method. Start with a simplified forward model (e.g., linearize the diffusion tensor model) and gradually increase complexity. Use gradient clipping and adaptive learning rates.
- The multiscale continuation fails to avoid local minima, leading to convergence to a poor solution.Probabilité : mediumParade : Test multiple starting resolutions (8mm, 12mm) and different numbers of multiscale steps. Compare with a global optimization method (e.g., Bayesian optimization) on a small subset of parameters to validate the landscape.
- The computational cost is too high, exceeding the 100 GPU-hour budget per inversion run.Probabilité : lowParade : Optimize the forward model implementation (e.g., use FFT-based methods for convolution). Reduce the number of iterations by using a more efficient optimizer (e.g., L-BFGS with a good preconditioner). Use mixed-precision training.
- The synthetic phantom is not representative of real tissue, leading to overly optimistic results.Probabilité : mediumParade : Use a realistic digital phantom (e.g., BrainWeb) with known ground truth. Add realistic noise and artifacts (e.g., motion, B0 inhomogeneity) to the simulation.