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Bayesian optimization in PyTorch

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Differential Revision: D38961121

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# 🐛 Bug In the for loop of function optimize_acqf in optimize.py, batch_initial_conditions is set to None when passing arguments, which introduces the error batch_initial_conditions must be given if there...

bug

Summary: BoTorch changes to go with the subsequent Ax diff. This will eventually need to be landed with this diff going before the Ax diff. Differential Revision: D53086323

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## Issue description I'm running `sample_optimal_points` with a model that has input and outcome transforms. I get this warning: ``` RuntimeWarning: Could not update `train_inputs` with transformed inputs since GenericDeterministicModel...

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# 🐛 Bug In the `botorch.utils.sampling.sample_polytope()` function the same seed is used to generate both the random step sizes and the random step directions. For very small numbers of steps...

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good first issue

# 🐛 Bug `qMultiFidelityLowerBoundMaxValueEntropy` seems to break with fantasization. The error seems specific to GIBBON as using `qMultiFidelityMaxValueEntropy` instead is fine. ## To reproduce I defined a `SingleTaskMultiFidelityGP` model for...

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# 🐛 Bug [`batch_cross_validation`](https://github.com/pytorch/botorch/blob/89f923d9f677cb7664909b2ff0bcc30b4d37007a/botorch/cross_validation.py#L151) passes `train_Yvar=None` into classes that don't use the (e.g. SingleTaskGP). Instead, it should only pass in `train_Yvar` if it is not `None`. ## Additional context Originally...

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good first issue

I don't think this is necessary, and it creates a "|" file upon running tutorials that's annoying to deal with in git.

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# 🐛 Bug When the ```qMultiFidelityLowerBoundMaxValueEntropy``` acquisition function is constructed with a number of points that are pending evaluation (```X_pending```) and with the ```SingleTaskMultiFidelityGP``` model, the ```optimize_acqf``` method fails. This...

bug

## Motivation This pull request introduces an implementation of the H-Entropy Search [1] procedure, along with a tutorial covering two tasks: Top-K Search and MinMax Search. This PR addresses issue...

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