botorch/models/approximate_gp.py [339:350]:
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                noise_prior = GammaPrior(1.1, 0.05)
                noise_prior_mode = (noise_prior.concentration - 1) / noise_prior.rate
                likelihood = GaussianLikelihood(
                    noise_prior=noise_prior,
                    batch_shape=self._aug_batch_shape,
                    noise_constraint=GreaterThan(
                        MIN_INFERRED_NOISE_LEVEL,
                        transform=None,
                        initial_value=noise_prior_mode,
                    ),
                )
            else:
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botorch/models/higher_order_gp.py [201:212]:
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            noise_prior = GammaPrior(1.1, 0.05)
            noise_prior_mode = (noise_prior.concentration - 1) / noise_prior.rate
            likelihood = GaussianLikelihood(
                noise_prior=noise_prior,
                batch_shape=self._aug_batch_shape,
                noise_constraint=GreaterThan(
                    MIN_INFERRED_NOISE_LEVEL,
                    transform=None,
                    initial_value=noise_prior_mode,
                ),
            )
        else:
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