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https://github.com/ANL-CEEESA/LLEPE.git
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added example file to do iterative optimization
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194
docs/Examples/iterative_fitter.py
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194
docs/Examples/iterative_fitter.py
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from scipy.optimize import curve_fit
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import llepe
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import pandas as pd
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import numpy as np
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import json
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def linear(x, a, b):
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return a * x + b
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species_list = 'Nd,Pr,Ce,La,Dy,Sm,Y'.split(',')
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pitzer_param_list = ['beta0', 'beta1', 'Cphi']
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meas_pitzer_param_df = pd.read_csv("../../data/csvs/may_pitzer_params.csv")
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labeled_data = pd.read_csv("../../data/csvs/"
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"zeroes_removed_PC88A_HCL_NdPrCeLaDySmY.csv")
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exp_data = labeled_data.drop(labeled_data.columns[0], axis=1)
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xml_file = "PC88A_HCL_NdPrCeLaDySmY_w_pitzer.xml"
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eps = 1e-4
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mini_eps = 1e-8
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x_guesses = [[-5178500.0, -1459500.0],
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[-5178342.857142857, -1460300.0],
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[-5178342.857142857, -1459500.0],
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[-5178342.857142857, -1458300.0],
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[-5178185.714285715, -1459900.0],
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[-5178185.714285715, -1459500.0],
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[-5178185.714285715, -1459100.0],
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[-5178185.714285715, -1458300.0],
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[-5178028.571428572, -1459900.0],
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[-5178028.571428572, -1459100.0],
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[-5178028.571428572, -1458300.0],
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[-5177557.142857143, -1459900.0],
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[-5177400.0, -1460300.0]]
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pitzer_guess_df = meas_pitzer_param_df.copy()
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ignore_list = []
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optimizer = 'scipy_minimize'
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output_dict = {'iter': [0],
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'best_obj': [1e20],
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'rel_diff': [1e20]}
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for species in species_list:
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output_dict['{0}_slope'.format(species)] = [1e20]
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output_dict['{0}_intercept'.format(species)] = [1e20]
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for pitzer_param in pitzer_param_list:
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output_dict['{0}_{1}'.format(species, pitzer_param)] = [1e20]
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i = 0
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rel_diff = 1000
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while rel_diff > 1e-4:
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i += 1
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best_obj = 1e20
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output_dict['iter'].append(i)
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for species in species_list:
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lower_species = species.lower()
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opt_values = {
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'(HA)2(org)_h0': [],
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'{0}(H(A)2)3(org)_h0'.format(species): [],
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'beta0': [],
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'beta1': [],
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'Cphi': [],
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'obj_value': [],
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'guess': []}
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for x_guess in x_guesses:
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info_dict = {'(HA)2(org)_h0': {'upper_element_name': 'species',
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'upper_attrib_name': 'name',
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'upper_attrib_value': '(HA)2(org)',
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'lower_element_name': 'h0',
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'lower_attrib_name': None,
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'lower_attrib_value': None,
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'input_format': '{0}',
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'input_value': x_guess[1]},
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'{0}(H(A)2)3(org)_h0'.format(species): {
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'upper_element_name': 'species',
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'upper_attrib_name': 'name',
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'upper_attrib_value': '{0}(H(A)2)3(org)'.format(
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species),
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'lower_element_name': 'h0',
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'lower_attrib_name': None,
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'lower_attrib_value': None,
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'input_format': '{0}',
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'input_value': x_guess[0]},
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}
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for pitzer_param in pitzer_param_list:
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if '{0}_{1}'.format(species, pitzer_param) not in ignore_list:
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pitzer_row = pitzer_guess_df[
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pitzer_guess_df['species'] == species]
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inner_dict = {'upper_element_name': 'binarySaltParameters',
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'upper_attrib_name': 'cation',
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'upper_attrib_value':
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'{0}+++'.format(species),
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'lower_element_name': pitzer_param,
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'lower_attrib_name': None,
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'lower_attrib_value': None,
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'input_format': ' {0}, 0.0, 0.0, 0.0, 0.0 ',
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'input_value':
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pitzer_row[pitzer_param].values[0]
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}
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info_dict['{0}_{1}'.format(
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species, pitzer_param)] = inner_dict
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llepe_params = {
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'exp_data': exp_data,
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'phases_xml_filename': xml_file,
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'opt_dict': info_dict,
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'phase_names': ['HCl_electrolyte', 'PC88A_liquid'],
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'aq_solvent_name': 'H2O(L)',
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'extractant_name': '(HA)2(org)',
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'diluant_name': 'dodecane',
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'complex_names': ['{0}(H(A)2)3(org)'.format(species)],
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'extracted_species_ion_names': ['{0}+++'.format(species)],
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'aq_solvent_rho': 1000.0,
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'extractant_rho': 960.0,
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'diluant_rho': 750.0,
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'objective_function': llepe.lmse_perturbed_obj,
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'optimizer': optimizer
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}
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estimator = llepe.LLEPE(**llepe_params)
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estimator.update_xml(llepe_params['opt_dict'])
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obj_kwargs = {'species_list': [species], 'epsilon': 1e-100}
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bounds = [(1e-1, 1e1)] * len(info_dict)
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optimizer_kwargs = {"method": 'l-bfgs-b',
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"bounds": bounds}
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opt_dict, obj_value = estimator.fit(
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objective_kwargs=obj_kwargs,
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optimizer_kwargs=optimizer_kwargs)
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if obj_value < best_obj:
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best_obj = obj_value
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keys = list(opt_dict.keys())
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info1 = [opt_dict[key]['input_value'] for key in keys]
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info1.append(obj_value)
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info1.append(x_guess)
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opt_values_keys = opt_values.keys()
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for ind, key in enumerate(opt_values_keys):
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opt_values[key].append(info1[ind])
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opt_value_df = pd.DataFrame(opt_values)
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p_opt, p_cov = curve_fit(linear,
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opt_value_df['(HA)2(org)_h0'].values,
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opt_value_df['{0}(H(A)2)3(org)_h0'.format(
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species)].values)
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slope, intercept = p_opt
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output_dict['{0}_slope'.format(species)].append(slope)
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output_dict['{0}_intercept'.format(species)].append(intercept)
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min_h0_df = opt_value_df[
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opt_value_df['(HA)2(org)_h0']
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== opt_value_df['(HA)2(org)_h0'].min()]
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update_pitzer_dict = {}
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for pitzer_param in pitzer_param_list:
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key_name = '{0}_{1}'.format(species, pitzer_param)
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output_dict[key_name].append(min_h0_df[pitzer_param].values[0])
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inner_dict = {'upper_element_name': 'binarySaltParameters',
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'upper_attrib_name': 'cation',
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'upper_attrib_value':
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'{0}+++'.format(species),
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'lower_element_name': pitzer_param,
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'lower_attrib_name': None,
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'lower_attrib_value': None,
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'input_format': ' {0}, 0.0, 0.0, 0.0, 0.0 ',
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'input_value':
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min_h0_df[pitzer_param].values[0]
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}
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update_pitzer_dict['{0}_{1}'.format(
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species, pitzer_param)] = inner_dict
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estimator.update_xml(update_pitzer_dict)
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pitzer_guess_dict = {'species': [],
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'beta0': [],
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'beta1': [],
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'Cphi': []}
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for species in species_list:
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pitzer_guess_dict['species'].append(species)
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for pitzer_param in pitzer_param_list:
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value_list = output_dict['{0}_{1}'.format(species, pitzer_param)]
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value = value_list[-1]
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pitzer_guess_dict[pitzer_param].append(value)
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if i > 2:
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mini_rel_diff1 = np.abs(value_list[-1]
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- value_list[-2])/(
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np.abs(value_list[-2]))
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mini_rel_diff2 = np.abs(value_list[-2] - value_list[-3]) / (
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np.abs(value_list[-3]))
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if mini_rel_diff1 < mini_eps and mini_rel_diff2 < mini_eps:
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ignore_list.append('{0}_{1}'.format(species, pitzer_param))
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pitzer_guess_df = pd.DataFrame(pitzer_guess_dict)
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output_dict['best_obj'].append(best_obj)
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output_df = pd.DataFrame(output_dict)
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old_row = output_df.iloc[-2, :].values[3:]
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new_row = output_df.iloc[-1, :].values[3:]
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rel_diff = np.sum(np.abs(new_row - old_row)/np.abs(old_row))
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output_dict['rel_diff'].append(rel_diff)
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output_df = pd.DataFrame(output_dict)
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output_df.to_csv('outputs/iterative_fitter_output_df.csv')
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