This tutorial delves into Linear Discriminant Analysis (LDA) and Quadratic Discriminant Analysis (QDA), fundamental classification methods in statistical learning. It explores the optimization of decision boundaries and derives LDA and QDA for binary and multiple classes, including parameter estimation. The paper also connects these methods to concepts like metric learning, kernel principal component analysis, and logistic regression, proving their equivalence to Fisher discriminant analysis and illustrating theoretical points with simulations. AI
IMPACT Provides foundational understanding of classification techniques relevant to machine learning applications.
RANK_REASON The item is an academic paper published on arXiv detailing statistical learning methods. [lever_c_demoted from research: ic=1 ai=1.0]
- arXiv
- Bayes optimal classifier
- Benyamin Ghojogh
- decision boundary
- kernel principal component analysis
- LDA
- linear discriminant analysis
- logistic regression
- Quadratic Discriminant Analysis
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