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POLYNOMIAL-GAUSSIAN VECTORS AND POLYNOMIAL-GAUSSIAN PROCESSES

open access: yesDemonstratio Mathematica, 2001
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
openaire   +2 more sources

A Two-Stage Strategy Integrating Gaussian Processes and TD3 for Leader–Follower Coordination in Multi-Agent Systems

open access: yesJournal of Sensor and Actuator Networks
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
doaj   +1 more source

Gaussian process classification bandits

open access: yesPattern Recognition
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
openaire   +3 more sources

Spatial Multi-Sensor Fusion with Heterogeneous Error Characteristics

open access: yesApplied Sciences
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
doaj   +1 more source

Incremental Gaussian Processes.

open access: yes, 2002
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.
openaire   +3 more sources

Operator learning with Gaussian processes

open access: yesComputer Methods in Applied Mechanics and Engineering
31 pages, 10 figures, 3 ...
Carlos Mora   +4 more
openaire   +4 more sources

Continuity of Gaussian processes [PDF]

open access: yesTransactions of the American Mathematical Society, 1970
Marcus, M. B., Shepp, L. A.
openaire   +2 more sources

Probabilistic Camera Distortion Correction Using Deep Gaussian Processes. [PDF]

open access: yesJ Imaging
De Boi I   +7 more
europepmc   +1 more source

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