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emukit/examples/dynamic_negative_lower_confidence_bound/__init__.py
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from .dnlcb import DynamicNegativeLowerConfidenceBound |
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emukit/examples/dynamic_negative_lower_confidence_bound/dnlcb.py
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from emukit.bayesian_optimization.acquisitions import NegativeLowerConfidenceBound | ||
from emukit.core.interfaces import IModel, IDifferentiable | ||
import numpy as np | ||
from typing import Union | ||
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class DynamicNegativeLowerConfidenceBound(NegativeLowerConfidenceBound): | ||
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def __init__(self, model: Union[IModel, IDifferentiable], input_space_size: int, delta: float) -> None: | ||
""" | ||
Dynamic extension of the LCB acquisition. The beta coefficient is updated at each iteration, based on the explorativeness parameter delta which is inversely | ||
proportional to beta itself - the higher the delta the less explorative the selection will be. | ||
Please consider that regret bounds based on the dynamic exploration coefficient only hold for selected kernel classes exhibiting boundedness and smoothness. | ||
See the base class for paper references. | ||
This class may also be taken as a reference for acquisition functions that dynamically update their parameters thanks to the update_parameters() hook; the implicit assumption is that this method is invoked once per iteration (it is no big deal if this is the case for a constant number of times per iteration; should it be more then we are increasing the beta too fast). | ||
:param model: The underlying model that provides the predictive mean and variance for the given test points | ||
:param input_space_size: the size of the finite D grid on which the function is evaluated | ||
:param delta: the exploration parameter determining the beta exploration coefficient; delta must be in (0, 1) and it is inversely related to beta | ||
""" | ||
assert input_space_size > 0, "Invalid dimension provided" | ||
assert 0 < delta < 1, "Delta must be in (0, 1)" | ||
super().__init__(model) | ||
self.input_space_size = input_space_size | ||
self.delta = delta | ||
self.iteration = 0 | ||
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def optimal_beta_selection(self) -> float: | ||
return 2 * np.log(self.input_space_size * (self.iteration ** 2) * (np.pi ** 2) / (6 * self.delta)) | ||
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def update_parameters(self) -> None: | ||
self.iteration += 1 | ||
self.beta = self.optimal_beta_selection() |
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emukit/examples/dynamic_negative_lower_confidence_bound/emukit_test_brownian.ipynb
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notebooks/Emukit-tutorial-parallel-eval-of-obj-fun.ipynb
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