A new paper explores the geometric approximation of logistic gradient descent trajectories, particularly when initialized from a previously trained model at a large scale. The research introduces a continuous ideal path composed of linear segments, which includes a negative-margin correction phase followed by minimum-margin growth. This approximation converges to the full-batch logistic gradient descent trajectory as the initialization scale increases, providing quantitative error bounds and asymptotic formulas for peak and cumulative training losses. AI
IMPACT Provides theoretical insights into model training dynamics, potentially informing future optimization strategies.
RANK_REASON The cluster contains a single academic paper published on arXiv. [lever_c_demoted from research: ic=1 ai=1.0]
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