A new regression method called Highly Adaptive Ridge (HAR) has been proposed, achieving a dimension-free convergence rate of n^{-1/3} for right-continuous functions with square-integrable sectional derivatives. This method is particularly suited for tabular data and is computationally efficient, functioning as kernel ridge regression with a specific data-adaptive kernel. The research also establishes connections between HAR and kernel ridge regression in Sobolev spaces and validates the theory through simulations and real-world data. AI
IMPACT Introduces a novel regression technique potentially improving machine learning model performance on tabular data.
RANK_REASON Academic paper introducing a new statistical method. [lever_c_demoted from research: ic=1 ai=1.0]
- Alejandro Schuler
- alphaXiv
- arXiv
- CatalyzeX Code Finder for Papers
- CORE Recommender
- DagsHub
- Gotit.pub
- Highly Adaptive Ridge
- Hugging Face
- Influence Flower
- Kernel Ridge Regression
- ScienceCast
- Sobolev spaces
- tensor-product spline basis expansion
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