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Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes

Efficient methods for Gaussian Markov random fields under sparse linear constraints

NeurIPS 2021 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Sparse variational Gaussian processes · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the constraint-basis method instead of the standard GMRF method for likelihood evaluationGMRF with sparse hard constraints · Matérn field point observationscomputation time: more than 1000 observationsHelped
Use the constraint-basis method instead of conditioning by kriging for samplingGMRF with sparse hard constraints · Matérn field point observationscomputation timeHelped
Use covariance-based inference instead of the constraint-basis GMRF methodMatérn field with point observations · Matérn field point observationscomputation time: approximately 1000 observationsMixed
Use the SPDE-based constrained GP model instead of the covariance-based GP modelConstrained Gaussian process regression · Divergence-free bivariate function reconstructionRMSENo clear effect
Use the SPDE-based method instead of the covariance-based method for predictionConstrained Gaussian process regression · Divergence-free bivariate function predictioncomputation time: m>600Helped
Use the covariance-based method instead of the SPDE-based method for predictionConstrained Gaussian process regression · Divergence-free bivariate function predictioncomputation time: m>600Mixed

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