Spatial Variation

By Frithjof Lutscher. 2019

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Citations in the corpus

Fast Bayesian Optimization of Machine Learning Hyperparameters on Large Datasets (2016, methodology): “Along the other dimensions, we adopt the Matérn 5/2 kernel [20], in its Automatic Relevance Determination form [21].”
Gaussian Processes and Kernel Methods: A Review on Connections and Equivalences (2018, background): “Another popular kernel is the Matérn class of functions [Matèrn, 1960], which is a standard in the spatial statistics literature [Stein, 1999, Sections 2.”
Estimation and prediction using generalized Wendland covariance functions under fixed domain asymptotics (2016, methodology): “For the reminder of the paper, we denote with P (Mν,α,σ2) a zero mean Gaussian measure induced by a Matérn covariance function with associated spectral density M̂ν,α,σ2 , and with P (φμ,κ,β,σ2) a zero mean Gaussian measure induced by a GW covariance function with associated spectral density φ̂μ,κ,β,”
Fast Bayesian hyperparameter optimization on large datasets (2017, methodology): “For the hyperparameters we wish to optimize, we adopt the Mat´ern 5 / 2 kernel (Mat´ern, 1960), in its Automatic Relevance Determination form (MacKay and Neal, 1994).”
Physiological and structural tradeoffs underlying the leaf economics spectrum. (2017, unknown): “…et al. (2009), Muller et al. (2009), Niinemets et al. (2009a), Soolanayakanahally et al. (2009), Hu et al. (2010), Han (2011), Jin et al. (2011), Kodama et al. (2011), Xu & Zhou (2011), Peguero-Pina et al. (2012, 2016), Tosens et al. (2012, 2015), Giuliani et al. (2013), Tom as et al. (2013),…”
Chemical archives in fishes beyond otoliths: A review on the use of other body parts as chronological recorders of microchemical constituents for expanding interpretations of environmental, ecological, and life‐history changes (2017, background): “Data from field studies imply that bone collagen in fishes has a slow turnover rate (Schoeninger and Deniro 1984; Sholtodouglas et al. 1991; Gaston and Suthers 2004).”
Functional peaks‐over‐threshold analysis (2020, methodology): “For the angular component W , we choose a process with log-Gaussian random functions and Whittle–Matérn (Matern, 1960; Whittle, 1954, 1963) semi-variogram 𝛾(s, s′, t, t′) = 𝜅 {1 − ||h||𝜈K𝜈(||h||)}, 𝜅, 𝜈 > 0, (28) where K𝜈 is the modified Bessel function of the second kind of order 𝜈, and (Ge”
Likelihood approximation with hierarchical matrices for large spatial datasets (2017, background): “Among themany covariancemodels available, theMatérn family (Matérn, 1986) has gainedwidespread interest in recent years.”