Bayesian quadrature, energy minimization and space-filling design
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![Table 3.1: Energy E K (µ) and potential P µ (x) for dierent kernels K with µ uniform on X = [0, 1] ; P µ (x) = S µ (x) + S µ (1 − x) + T µ (x) ; S µ (·) is continuously dierentiable in (0, 1] , T µ = 0 when K is translation invariant](https://thumb-eu.123doks.com/thumbv2/123doknet/13345276.401937/21.918.115.662.798.976/energy-potential-dierent-kernels-continuously-dierentiable-translation-invariant.webp)
![Figure 4.1: Squared exponential kernel K θ (x, x 0 ) = exp(−θkx −x 0 k 2 ) , d = 2 . Left: r [θ] (X n ) (4.5) as a function of θ when γ K (ξ n , µ) = p](https://thumb-eu.123doks.com/thumbv2/123doknet/13345276.401937/25.918.121.640.153.341/figure-squared-exponential-kernel-exp-θkx-left-function.webp)
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