Influence functions enable principled data selection for large language models (e.g., identifying influential training samples for model editing, debugging, or efficient fine-tuning). However, scaling IFs to LLMs is hindered by the intractability of billion-scale Hessian matrices and the prohibitive memory overhead of...
Li-Song He, Yun-Xuan Jiang, Hai-Shan Ye et al.
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Jul 2026
This work establishes sharper convergence results for single-loop approximate implicit differentiation (AID) and iterative differentiation (ITD) methods, leveraging the proposed analytical framework, decoupled norm analysis (DNA).
Yubo Zhou, Jun Shu, Luo Luo et al.
· arXiv.org · 0 citations
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Jul 2026
Theoretical analysis further confirms that EISAM tightens the generalization bound by steering parameters toward flatter minima with reduced curvature, establishing it as a robust, scalable, and broadly applicable optimization solution that advances both the theory and practice in deep learning.
Yao Fu, Chunxia Zhang, Junmin Liu et al.
· arXiv.org · 0 citations
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