Source code for alf_tools.optimizer.acquisition_functions.ucb

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import numpy as np
from alf_core import AcquisitionFunction, Candidate, LabelledCandidates, State


[docs] class UCB(AcquisitionFunction): """Upper Confidence Bound acquisition function. The UCB acquisition value is given by: UCB = μ + ασ, where μ is the mean prediction, σ is the standard deviation, and α is the exploration parameter. Higher α values lead to more exploration, while lower α values lead to more exploitation. This is a maximising acquisition function. """ def __init__(self, alpha: float): """Initialize UCB with exploration parameter alpha. Args: alpha: The exploration parameter. """ self.alpha = alpha def __call__(self, search_candidates: list[Candidate], state: State) -> LabelledCandidates: """Compute Upper Confidence Bound (UCB) acquisition values for unlabelled candidates. Args: search_candidates: List of unlabelled candidates to score. state: The task state containing the current datasets and surrogate model. Raises: ValueError: If `variances` is not found in predictions. Returns: LabelledCandidates with UCB acquisition values. """ predictions = state.surrogate.predict(search_candidates) if predictions.variances is not None: sigma = np.sqrt(predictions.variances) mu = predictions.means acquisition_values = mu + self.alpha * sigma else: raise ValueError( "Expected `variances` in predictions, but was not found. Cannot compute UCB." ) return LabelledCandidates(candidates=search_candidates, labels=acquisition_values)