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Spectral algorithms in large dimensions reveal three learning curve regimes

A new research paper published on arXiv explores the learning curves and benign overfitting phenomena in spectral algorithms within large-dimensional settings. The study characterizes the excess risk across different regularization paths, identifying three distinct regimes: over-regularized, under-regularized, and interpolation. Benign overfitting is shown to occur in the latter two regimes under specific conditions related to the smoothness of the regression function. AI

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IMPACT Provides theoretical insights into the behavior of spectral algorithms, potentially informing future model development and analysis.

RANK_REASON Academic paper published on arXiv detailing theoretical findings in machine learning.

Read on arXiv stat.ML →

COVERAGE [2]

  1. arXiv stat.ML TIER_1 · Weihao Lu, Qian Lin, Yingcun Xia, Dongming Huang ·

    Learning Curves and Benign Overfitting of Spectral Algorithms in Large Dimensions

    arXiv:2604.23212v1 Announce Type: new Abstract: Existing large-dimensional theory for spectral algorithms resolves either the optimally tuned point or the interpolation limit, but leaves the under-regularized regime unexplored. We study the learning curve and benign overfitting o…

  2. arXiv stat.ML TIER_1 · Dongming Huang ·

    Learning Curves and Benign Overfitting of Spectral Algorithms in Large Dimensions

    Existing large-dimensional theory for spectral algorithms resolves either the optimally tuned point or the interpolation limit, but leaves the under-regularized regime unexplored. We study the learning curve and benign overfitting of spectral algorithms in the large-dimensional s…