# Questions tagged [rbf-kernel]

The RBF kernel, i.e., radial-basis-function kernel, occurs in the context of kernel methods in machine learning.

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### Weighted sum of RBF kernels with different length scales

When applying Gaussian Processes to applied problems, the choice of length-scale parameter parameter for the radial basis function (RBF, ie Gaussian) kernel makes a big difference. In practice, I have ...
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### Is it enough to prove that the Kernel matrix is positive semidefinite to know that the function is a kernel?

Is it enough to prove that the Kernel matrix is positive semidefinite to know that the function is a kernel? Or is it also necessary to prove that the matrix is symmetric?
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### Hyperparameter estimation of a Gaussian process when the total length of observation is less than the correlation length?

If a Gaussian process has a kernel covariance function that is parametrized by a correlation length-like parameter (Like in RBF of an SM kernel), to estimate the hyperparameters, it is common ...
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### Calculation of Lipschiz constant for Square Exponential kernel

I am working with the Kernel function and want to calculate bounds using the concept of Lipschitz continuity. I do understand that the SE kernel is continuous, smooth, and differentiable. Is there any ...
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### Why SVM with gamma='scale' for RBF kernel works so well?

The intuitive explanation for the gamma parameter of the RBF kernel in SVMs is the following: Intuitively, the gamma parameter ...
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### Is it possible to find cluster centroids in kernel K means?

Suppose ${x_1, \ldots, x_N}$ are the data points and we have to find $K$ clusters using Kernel K Means. Let the kernel be $Ker$ (not to confuse with $K$ number of clusters) Let $\phi$ be the implicit ...
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### Are radial basis kernels able to model interactions between predictors?

I have been doing research using Support Vector Regression for some time, especially using radial basis kernel, for predicting a response variable from a set of numeric predictors. As a consequence of ...
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### How is a polynomial kernel with infinite degree different from RBF Kernel?

I was reading about polynomial and RBF Kernels. According to my understanding: Polynomial kernels with degree >1 map the non-linear data into a higher dimensional feature space. Data that aren't ...
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my series for functions are type. $$f(x) = a \sin(x-b) , a \sim \mathcal{N}(-1,2) , b \sim \mathcal{N}(-0.5,1)$$ Can someone get me started how to model these functions with GP. I am confused about ...