Institution profile

University of Paris 1 Panthéon-Sorbonne

Academic institutioneurope · fr
Official website
Research library17linked papers
Opportunities0open roles
Selected work

Representative Papers

Spectral Rank Certification for Foundation Model Adapters

Aug 15, 2026

This study addresses the discrepancy between nominal and effective ranks in foundation model adapters and the lack of finite-sample statistical inference. We propose an auditing framework based on joint spectral gap calibration and empirical null hypotheses. By integrating high-dimensional spectral analysis, Monte Carlo testing, and multiple correction, we establish precise chi-square divergence and Le Cam bounds to calibrate spectral evidence. Empirical evaluation across 26 adapters demonstrates that the calibrated effective rank is significantly lower than the nominal rank and distinct from energy retention rates. These findings reveal the intrinsic low-dimensional structure of adapters, providing a rigorous statistical certification and novel evaluation paradigm for parameter-efficient fine-tuning.

0 citationsRead paper
Recent publications

Latest Papers

Spectral Rank Certification for Foundation Model Adapters

Aug 15, 2026

This study addresses the discrepancy between nominal and effective ranks in foundation model adapters and the lack of finite-sample statistical inference. We propose an auditing framework based on joint spectral gap calibration and empirical null hypotheses. By integrating high-dimensional spectral analysis, Monte Carlo testing, and multiple correction, we establish precise chi-square divergence and Le Cam bounds to calibrate spectral evidence. Empirical evaluation across 26 adapters demonstrates that the calibrated effective rank is significantly lower than the nominal rank and distinct from energy retention rates. These findings reveal the intrinsic low-dimensional structure of adapters, providing a rigorous statistical certification and novel evaluation paradigm for parameter-efficient fine-tuning.

0 citationsRead paper