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LoRA Logit Shift Formalised via Fréchet Approximation

other · 2026-04-24

A technical note on arXiv formalises the logit shift induced by Low-Rank Adaptation (LoRA) using a first-order Fréchet approximation. The multi-layer LoRA effect is decomposed into a linear sum of layerwise contributions plus a higher-order remainder for inter-layer coupling.

Key facts

  • First-order formalisation of logit shift from LoRA
  • Uses first-order Fréchet approximation around base model trajectory
  • Multi-layer LoRA effect decomposed into linear sum of layerwise contributions
  • Higher-order remainder term represents inter-layer coupling
  • Published on arXiv under Computer Science > Machine Learning
  • arXiv ID: 2604.20313

Entities

Institutions

  • arXiv

Sources