Structural stability margins before belief-space collapse under fine-tuning, analyzing perturbation sensitivity.
Fine-tuning a pre-trained model on new data or tasks is the primary method for model customization, but it introduces structural stability risks. The model's internal representation — its belief space — can respond sensitively to fine-tuning perturbations, with small parameter updates causing disproportionate changes in behavior. The structural problem is that fine-tuning operates near the boundary of the model's stability margins, and exceeding these margins can cause belief-space collapse: a rapid and irreversible degradation of the model's coherent representation structure.
This application operates in the model customization and adaptation space, addressing fine-tuning of foundation models for specific tasks, domains, or organizations. The relevant system boundary includes the base model, the fine-tuning data and procedure, the target task, and the existing capabilities that must be preserved.
Fine-tuning is the primary mechanism for enterprise customization of foundation models. Understanding structural stability margins enables organizations to customize models confidently, knowing that adaptation will achieve the desired specialization without undermining the capabilities that justified adopting the foundation model in the first place.
The SORT framework addresses this application through four structural dimensions, each providing a distinct analytical layer.
Fine-tuning destabilizes existing capabilities.
Belief space responds sensitively to perturbations.
Structural stability margins for fine-tuning scenarios.
Fine-tuning strategy, perturbation bounds, capability preservation.