Science Advances

Supplementary Materials

This PDF file includes:

  • Supplementary Text
  • section S1. Analysis of the estimators RPLE, RISE, and logRISE
  • section S2. On optimization techniques for minimizing the estimators
  • section S3. On the procedure for M* selection
  • section S4. On the theoretical predictions for λ selection
  • section S5. Empirical selection of the regularization parameter λ
  • section S6. Hyperparameter λ selection through cross-validation
  • section S7. Scalings of the RISE with respect to γ
  • section S8. High-temperature expansion of the RISE and the RPLE
  • fig. S1. Schematic representation of the proof strategy for bounding the reconstruction error.
  • fig. S2. Dependence of the number of samples M* required for a correct structure recovery on the regularization coefficient.
  • fig. S3. Selection of the hyperparameter λ through the K-fold cross-validation method on a 4 × 4 spin glass system on a square lattice.
  • fig. S4. Values of M* and γ exponents for the RISE across different test cases.
  • References (42–45)

Download PDF

Files in this Data Supplement: