This paper, submitted to arXiv, introduces new theoretical frameworks for understanding leave-one-out cross-validation (LOOCV) in machine learning. The authors demonstrate that estimator stability, combined with a gradient-growth condition on the expected fitted loss, is sufficient to establish concentration bounds for LOOCV. This approach extends beyond traditional Lipschitz continuity assumptions and is illustrated with examples like linear regression and kernel density estimation. AI
IMPACT Provides theoretical underpinnings for model evaluation techniques used in machine learning.
RANK_REASON Academic paper published on arXiv detailing theoretical advancements in statistical learning. [lever_c_demoted from research: ic=1 ai=1.0]
- arXiv
- Benny Avelin
- Concentration inequalities for leave-one-out cross validation
- Hugging Face
- kernel density estimation
- linear regression
- stabilized kernel regression
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