Is there a threshold for the amount of data that Gaussian process regression can reproduce?

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I am working with a GPR model, however, with a shorter amount of data it work very well, and develop the metamodel very fast. Nevertheless, I need to test a larger dataset, and it has been running for several hours without success. Hence, I want to know if there are any limitations on GPR concerning the amount of data capable to be reproduced.
Thanks

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