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Gradient Descent Outperforms Ridge Regression in Linear Models

A new research paper published on arXiv analyzes the performance of gradient descent (GD) compared to ridge regression and online stochastic gradient descent (SGD) in linear regression tasks. The study finds that GD consistently outperforms ridge regression, offering comparable or superior risk profiles. However, GD and SGD show incomparable performance, with each algorithm excelling in different problem types. AI

IMPACT Provides theoretical insights into optimization algorithms relevant to machine learning model training.

RANK_REASON Academic paper detailing theoretical analysis of algorithms. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Jingfeng Wu, Peter L. Bartlett, Sham M. Kakade, Jason D. Lee, Bin Yu ·

    Risk Comparisons in Linear Regression: Implicit Regularization Dominates Explicit Regularization

    arXiv:2509.17251v2 Announce Type: replace Abstract: Existing theory suggests that for linear regression problems categorized by capacity and source conditions, gradient descent (GD) is always minimax optimal, while both ridge regression and online stochastic gradient descent (SGD…