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Understanding the definition of Hilbert function space

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#functional-analysis #operator-theory #hilbert-spaces #reproducing-kernel-hilbert-spaces
70
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Is the inner product in the RKHS corresponding to the probability space $X$ induced by the Gaussian kernel related to the function integral?

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#integration #functional-analysis #measure-theory #reproducing-kernel-hilbert-spaces
28
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Relationship between kernel method and MMD kernel

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#statistics #regression #reproducing-kernel-hilbert-spaces
23
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Centered versus non-centered feature maps in Kernel Ridge Regression

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#machine-learning #reproducing-kernel-hilbert-spaces
56
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When I can truncate a function space to a subspace, in a way that non-negative functions stay non-negative?

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#linear-algebra #functional-analysis #hilbert-spaces #banach-spaces #reproducing-kernel-hilbert-spaces
72
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The distance formula used in Kernel K-means in tslearn

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#machine-learning #python #clustering #reproducing-kernel-hilbert-spaces
305
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Reproducing kernel Hilbert space induced by $k(x, y) = \delta_{x, y}$, where $\delta$ is the Kronecker delta

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#hilbert-spaces #orthonormal #dual-spaces #hamel-basis #reproducing-kernel-hilbert-spaces
45
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When are RKHS closed under absolute value?

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#real-analysis #functional-analysis #reproducing-kernel-hilbert-spaces
99
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SVM feature map expansion of sigmoid, Laplace and Student kernels

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#machine-learning #reproducing-kernel-hilbert-spaces
93
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Weak convergence in a reproducing kernel Hilbert space is equal to pointwise convergence of the sequence

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#solution-verification #hilbert-spaces #weak-convergence #reproducing-kernel-hilbert-spaces
111
Views

What does nonlinear mapping $\Phi(x)$ mean? Is it a vector or matrix?

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#matrices #hilbert-spaces #reproducing-kernel-hilbert-spaces
29
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Mercers condition and an RBF PSD-kernel.

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#positive-semidefinite #reproducing-kernel-hilbert-spaces
192
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Inequality involving kernel matrix and quadratic form

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#linear-algebra #matrices #inequality #quadratic-forms #reproducing-kernel-hilbert-spaces
40
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RKHS norm of a constant function?

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#functional-analysis #vector-spaces #hilbert-spaces #reproducing-kernel-hilbert-spaces
31
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What is rescaling kernel?

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#functional-analysis #reproducing-kernel-hilbert-spaces

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