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Implement Hadamard Gaussian noise#2481

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TobyBoyne wants to merge 11 commits intocornellius-gp:maincornellius-gp/gpytorch:mainfrom TobyBoyne:hadamardlikelihoodTobyBoyne/gpytorch:hadamardlikelihoodCopy head branch name to clipboard

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Commits on Feb 23, 2024

• Create task-dependent noise; update example notebook

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Commits on Feb 27, 2024

• Cleaner shaped_noise_covar using linear operator

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Commits on Mar 11, 2025

• Merge remote-tracking branch 'upstream/main' into hadamardlikelihood

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Commits on Mar 12, 2025

• Update gpytorch/likelihoods/hadamard_gaussian_likelihood.py

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• Update gpytorch/likelihoods/hadamard_gaussian_likelihood.py

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• Update gpytorch/likelihoods/hadamard_gaussian_likelihood.py

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Commits on Mar 13, 2025

• Type hints and shape comments

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• Update Multitask notebook to compare to uniform noise

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Commits on Mar 14, 2025

• Add tests; more careful shape checking in batch settings

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• Move task-specific noise to end of notebook; add comparison

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• Add comparison to GaussianLikelihood in tests

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