Optimal pre-training initialization for PMMs

Determine the optimal pre-training initialization of parametric matrix model parameters in order to reduce the computational cost of training.

Background

The thesis identifies parameter initialization as an important practical component of training parametric matrix models (PMMs). Although simple heuristics—small initial magnitudes and symmetry-breaking initial values—have been successful, no generally optimal initialization strategy has been established.

An improved initialization method could substantially reduce the number of optimization steps and the computational resources required to train PMMs, particularly for large or complicated models.

References

For instance, the optimal pre-training initialization of PMMs parameters is currently unknown and could drastically reduce the cost of training.

Parametric Matrix Models for Emulation in Nuclear and Many-Body Physics  (2608.12837 - Cook, 13 Aug 2026) in Chapter 5, Conclusion and Outlook

At the moment, none of this has been brought to PMMs. It is unclear what knowledge from ANN parameter initialization is applicable to PMMs in general.

Parametric Matrix Models for Emulation in Nuclear and Many-Body Physics  (2608.12837 - Cook, 13 Aug 2026) in Section 3.5.2, Parameter Initialization