This paper introduces and analyzes the $γ$-VC dimension, a parameter that characterizes the sample complexity for converting weak hypotheses into accurate predictors. The research refines the relationship between the traditional VC dimension and this new parameter. Additionally, it provides updated upper and lower bounds for the $γ$-VC dimension concerning decision stumps and axis-parallel rectangles in $\mathbb{R}^d$. AI
IMPACT Introduces a new parameter for analyzing the expressive power of weak learners, potentially improving understanding of boosting algorithms.
RANK_REASON The item is a research paper detailing theoretical concepts in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
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- ACM Symposium on Theory of Computing
- Alon et al.
- axis-parallel rectangles
- decision stumps
- Hugging Face
- \mathbb{R}^d
- VC dimension
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