Gaussian Process Regression

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120sintermediate (5/10)conceptual

In Gaussian process regression, the kernel function k (x, x^{'}) encodes assumptions about the function being modeled. What does the squared exponential (RBF) kernel k (x, x^{'}) = σ^{2} exp (- ∥ x - x^{'} ∥^{2} / (2 l^{2})) assume about the target function?