import scipy.optimize import numpy as np from SpectralParameters import SpectralParams import f_models from f_norms import FNorm class OptAlgorithm: """Base class for optimization algorithms. """ def __init__(self, initial_model: SpectralParams, freq_bins, amplitude_spectrum, weights, travel_time, config, logger): self.initial_model = initial_model self.config = config self.travel_time = travel_time self.f_model = getattr(f_models, config.get("sp_fit_model"))(freq_bins=freq_bins, spectral_parameters=initial_model) self.f_norm = FNorm(norm=self.config.get("norm"), spectral_params=initial_model, freq_bins=freq_bins, amplitude_spectrum=amplitude_spectrum, weights=weights, travel_time=travel_time, source_model=self.f_model, logger=logger) self.solution = None self.error = None self.name = self.__class__.__name__ def run(self): """Run the optimization algorithm and return SpectralParams results :return: """ return self.error, self.solution def __repr__(self): if self.solution: output = f"{self.name} results:\n" output += f" {self.solution.__str__()} \n" output += f" Error: {self.error:.4f}" return output else: return f"{self.name}: no solution" class OptNelderMead(OptAlgorithm): """ Minimize a function using the downhill simplex algorithm from scipy.optimize. """ def __init__(self, initial_model: SpectralParams, freq_bins, amplitude_spectrum, weights, travel_time, config, logger): super().__init__(initial_model, freq_bins, amplitude_spectrum, weights, travel_time, config, logger) self.initial_q = (self.config.get("q_min")+self.config.get("q_max"))/2 def run(self): def prepare_fun(x): self.f_norm.spectral_par = SpectralParams(mo=x[0], fo=x[1], q=x[2], ) return self.f_norm.calculate().misfit # Initial model parameters x0 = [self.initial_model.mo, self.initial_model.fo, self.initial_q] # Optimization bounds bounds = [(None, None), (1 / self.config.get("window_len"), self.config.get("freq_max")), (self.config.get("q_min"), self.config.get("q_max"))] # Perform optimization xopt = scipy.optimize.minimize(method='Nelder-Mead', fun=prepare_fun, x0=np.array(x0), bounds=bounds) # Store the results self.solution = SpectralParams(mo=xopt.x[0], fo=xopt.x[1], q=xopt.x[2]) self.error = xopt.fun return self.error, self.solution