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Logistic regression parameter vector weakly aligns with max-margin direction

Researchers have theoretically demonstrated that the parameter vector in logistic regression weakly aligns with the max-margin direction within a specific number of iterations. This early-stage alignment phenomenon, observed even before asymptotic convergence, is crucial for understanding why training longer often leads to better generalization. The findings suggest a faster weak alignment than previously understood, directly correlating with dataset geometry. AI

IMPACT Provides theoretical insight into the generalization capabilities of logistic regression models trained with gradient descent.

RANK_REASON The cluster contains a research paper published on arXiv detailing theoretical findings in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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Logistic regression parameter vector weakly aligns with max-margin direction

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Han Bao ·

    Non-asymptotic implicit bias of logistic regression at early-stage gradient descent dynamics

    arXiv:2608.04382v1 Announce Type: cross Abstract: Gradient descent has been of particular interest in modern machine learning beyond sole focus on optimization. Implicit bias emerging from optimization, though not being encoded by the learning objective, often prevents from overf…