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POLYNOMIAL-GAUSSIAN VECTORS AND POLYNOMIAL-GAUSSIAN PROCESSES
Let \({\mathbf X}_d=(X_1,\dots, X_d)\) denote a \(d\)-dimensional r.v., the density of which is a product of a nonnegative polynomial in \(x_1\) and a \(d\)-dimensional Gaussian density. \({\mathbf X}_d\) has a \(d\)-dimensional polynomial-Gaussian distribution \((\text{PGD}_d)\).
Plucińska, Agnieszka, Bisińska, Monika
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In mobile multi-agent systems (MASs), achieving effective leader–follower coordination under unknown dynamics poses significant challenges. This study proposes a two-stage cooperative strategy that integrates Gaussian Processes (GPs) for modeling and a ...
Xicheng Zhang +3 more
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Gaussian process classification bandits
Classification bandits are multi-armed bandit problems whose task is to classify a given set of arms into either positive or negative class depending on whether the rate of the arms with the expected reward of at least h is not less than w for given thresholds h and w.
Tatsuya Hayashi +6 more
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Spatial Multi-Sensor Fusion with Heterogeneous Error Characteristics
Fusing spatial observations from sensors with heterogeneous error characteristics is a persistent challenge in geostatistics. Classical kriging assumes a Gaussian likelihood for all observations, an assumption that fails when sensors exhibit one-sided or
Ben Ingram +4 more
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Incremental Gaussian Processes.
In this paper, we consider Tipping's relevance vector machine (RVM) and formalize an incremental training strategy as a variant of the expectation-maximization (EM) algorithm that we call subspace EM. Working with a subset of active basis functions, the sparsity of the RVM solution will ensure that the number of basis functions and thereby the ...
Quinonero Candela, J., Winther, O.
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Operator learning with Gaussian processes
31 pages, 10 figures, 3 ...
Carlos Mora +4 more
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Continuity of Gaussian processes [PDF]
Marcus, M. B., Shepp, L. A.
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Probabilistic Camera Distortion Correction Using Deep Gaussian Processes. [PDF]
De Boi I +7 more
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A Tutorial Review of Bayesian Optimization with Gaussian Processes to Accelerate Stationary Point Searches. [PDF]
Goswami R.
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Scaling Gaussian Processes for Deterministic Model Predictive Control with Online Updates: A Framework for Model Selection and Re-identification in Process Control. [PDF]
Fouts MW, Mebane DS, Lima FV.
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