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Published in:
2020 | OriginalPaper | Chapter
5. Necessary Notations of the Proposed Method
Authors : Bin Shi, S. S. Iyengar
Published in: Mathematical Theories of Machine Learning - Theory and Applications
Publisher: Springer International Publishing
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Abstract
We define necessary notations and review important definitions that will be used later in our analysis. Let \(C^{2}(\mathbb {R}^{n})\) be the vector space of real-valued twice-continuously differentiable functions. Let ∇ be the gradient operator and ∇2 be the Hessian operator. Let ∥⋅∥2 be the Euclidean norm in \(\mathbb {R}^{n}\). Let μ be the Lebesgue measure in \(\mathbb {R}^n\).