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GFIForecastPeriod230920.py
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GFIForecastPeriod230920.py
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# -*- coding: utf-8 -*-
"""
Created on Mon Sep 26 17:16:03 2022
@author: 70K9734
"""
import pandas as pd
import numpy as np
from sklearn.ensemble import GradientBoostingRegressor
from sklearn.ensemble import RandomForestRegressor
from sklearn.tree import DecisionTreeRegressor
from sklearn.feature_selection import RFECV
import matplotlib.pyplot as plt
import cvxpy as cp
import os
import warnings
import shap
import time
from FeatureSelection import fs_scaled
from ConvexOptimization import CustomizedOptimizationTrainingError, CustomizedOptimization
from OptimizationModule import *
warnings.filterwarnings("ignore")
timestr = time.strftime("%Y%m%d")
nbpt = 6
# n_horizon= 13
target_variable= 'Order'
# commented out to carryout the analysis on NMFon 21st
# filename= 'Data/IndSumFinal230821.csv'
filename= 'Data/IndSumNMF230921.csv'
n_test = 6
n_validation = 6
#n_labels= 35
n_check = 6
n_shift = 0
n_float= 0
filter_percentile = 100
alpha_range= np.array([-7*10 ** (-3), -5*10 ** (-3), -1*10 ** (-3), -1*10**(-2), -2*10**(-2)])
# alpha_range= np.array([-5*10 ** (-3), -1*10**(-2)])
gamma_range= [10]
gamma_max_range= [10]
gamma_var= 10
gamma_max= 10
alpha2= -5*10 ** (-3)
delta1= 0.05
delta2= 0.05
# alpha_train= 0.05
alpha_train_range= [0.05, 0.1]
delta= np.array([0.05, 0.05])
n_val_fixed= 6
model_dict_feat = {'gradient_boost': GradientBoostingRegressor()}
cv_list = np.arange(1, 5)
step_list= np.arange(0, 1, 0.5)
loss_list= ['squared_error', 'absolute_error', 'huber', 'quantile']
df= pd.read_csv(filename)
y= np.array(df['Order'])
# n_horizon = 56
n_num= df.shape[0] - n_validation
def drop_col(df):
df= df.drop(['Date', 'Order'], axis= 1)
df = df.dropna(axis=1)
for col in df.columns:
if np.var(np.array(df[col]))<= 10:
df.drop(col, axis=1)
return df
X= drop_col(df)
def drop_peak_mean(X):
for i in range(X.shape[1]):
if max(X.iloc[:, i])/np.mean(X.iloc[:, i])>= 50:
pass
rng = pd.date_range('30/04/2018', periods= df.shape[0], freq='M')
# set_n_estimators= [10, 20, 25, 50, 70, 100, 200, 300, 500]
set_n_estimators = [100, 500, 700]
# set_n_estimators= [10, 20, 50, 100, 200]
set_min_samples_leaf= [2, 10, 20]
# set_min_samples_leaf = [2, 3, 4, 5, 10]
# set_max_depth = [2, 3, 4, 5, 10]
set_max_depth = [2, 3, 5]
# set_min_samples_split = [2, 3, 4, 5, 20]
set_min_samples_split = [2]
set_loss = ['huber', 'absolute_error']
# set_loss= ['ls', 'huber']
set_learning_rate = [0.01]
set_criterion = ['squared_error']
# set_n_estimators_rf = [100, 200, 500, 700, 1000]
set_n_estimators_rf = [100]
# set_min_samples_leaf_rf = [2, 3, 4, 5, 7, 10]
set_min_samples_leaf_rf = [2, 3]
# set_max_features_rf = ['sqrt', 'auto']
set_max_features_rf = ['sqrt']
# set_min_samples_split_rf = [2, 3, 4, 5, 20]
set_min_samples_split_rf = [4]
def mean(x):
return cp.sum(x) / x.size
def variance(x, mode='unbiased'):
if mode == 'unbiased':
scale = x.size - 1
elif mode == 'mle':
scale = x.size
else:
raise ValueError('unknown mode: ' + str(mode))
return cp.sum_squares(x - mean(x)) / scale
def feature_selection_local(X, y, n_crease= 6):
n_labels = X.shape[0] - n_float
rfc_rf = GradientBoostingRegressor(random_state=101)
rfecv_rf = RFECV(estimator=rfc_rf, step=0.1, cv=4, scoring='neg_mean_absolute_error')
X_reduced = X.iloc[0: n_labels - n_crease, :]
y_reduced = y[0: n_labels - n_crease]
rfecv_rf.fit(X_reduced, y_reduced)
X.drop(X_reduced.columns[np.where(rfecv_rf.support_ == False)[0]], axis=1, inplace=True)
print('Selected features:', X.columns)
return X
# X_after_feat_sel= feature_selection_local(X, y, n_crease=6)
def forecast_module(set_n_estimators, set_min_samples_leaf, set_max_depth, set_min_samples_split, set_loss,
set_learning_rate, set_criterion,
set_n_estimators_rf, et_min_samples_leaf_rf, set_max_features_rf, set_min_samples_split_rf, X, y,
alpha_range, gamma_range, delta):
# n_labels = X.shape[0] - 11
X= X.copy(deep= True)
n_labels = X.shape[0] - n_float
n_train = n_labels - n_test - n_check
n_train_final_forecast = n_labels
X = np.array(X)
# y= np.array(labels)
X_train = X[0: n_train, :]
y_train = y[0: n_train]
X_train_final_forecast = X[0: n_train_final_forecast, :]
y_train_final_forecast = y[0: n_train_final_forecast]
print('*' * 100)
print('Computing forecast')
y_validation_gb = np.empty(
[X.shape[0], len(set_n_estimators), len(set_min_samples_leaf), len(set_max_depth), len(set_min_samples_split),
len(set_loss), len(set_learning_rate), len(set_criterion)])
for i in range(len(set_n_estimators)):
for j in range(len(set_min_samples_leaf)):
for k in range(len(set_max_depth)):
for l in range(len(set_min_samples_split)):
for m in range(len(set_loss)):
for n in range(len(set_learning_rate)):
for p in range(len(set_criterion)):
y_validation_gb[:, i, j, k, l, m, n, p] = GradientBoostingRegressor(random_state=0,
n_estimators=
set_n_estimators[i],
min_samples_leaf=
set_min_samples_leaf[
j], max_depth=
set_max_depth[k],
min_samples_split=
set_min_samples_split[
l],
loss=set_loss[m],
learning_rate=
set_learning_rate[
n], criterion=
set_criterion[
p]).fit(X_train,
y_train).predict(
X)
y_validation_gb = y_validation_gb.reshape(X.shape[0], len(set_n_estimators) * len(set_min_samples_leaf) * len(
set_max_depth) * len(set_min_samples_split) * len(set_loss) * len(set_learning_rate) * len(set_criterion))
y_validation_rf = np.empty(
[X.shape[0], len(set_n_estimators_rf), len(set_min_samples_leaf_rf), len(set_max_features_rf),
len(set_min_samples_split_rf)])
for i in range(len(set_n_estimators_rf)):
for j in range(len(set_min_samples_leaf_rf)):
for k in range(len(set_max_features_rf)):
for l in range(len(set_min_samples_split_rf)):
y_validation_rf[:, i, j, k, l] = RandomForestRegressor(random_state=0,
n_estimators=set_n_estimators_rf[i],
min_samples_leaf=set_min_samples_leaf_rf[j],
max_features=set_max_features_rf[k],
min_samples_split=set_min_samples_split_rf[
l]).fit(X_train, y_train).predict(X)
y_validation_rf = y_validation_rf.reshape(X.shape[0], len(set_n_estimators_rf) * len(set_min_samples_leaf_rf) * len(
set_max_features_rf) * len(set_min_samples_split_rf))
y_validation = np.concatenate([y_validation_gb, y_validation_rf], axis=1)
error_all = np.empty([y_validation.shape[1], n_test])
y_extracted = y_validation[n_train: n_train + n_test, :]
y_extracted = y_extracted.T
y_augmented = y[n_train: n_train + n_test] * np.ones([y_validation.shape[1], 1], dtype=None)
for i in range(y_validation.shape[1]):
for j in range(n_test):
error_all[i, j] = (y_augmented[i, j] - y_extracted[i, j])
error_all = np.array(error_all)
error_all = error_all.T
error_all_absolute = abs(error_all)
mape_final = np.mean(error_all_absolute, axis=0)
df_error = pd.DataFrame(data=mape_final)
is_lesser = df_error[0] <= np.percentile(mape_final, filter_percentile)
df_error = df_error[is_lesser]
error_hist = np.array(df_error)
df_validation = pd.DataFrame(data=y_validation.T)
df_validation = df_validation[is_lesser]
y_validation_filtered = df_validation.to_numpy()
y_validation_filtered = y_validation_filtered.T
y_forecast_final_gb = np.empty(
[X.shape[0], len(set_n_estimators), len(set_min_samples_leaf), len(set_max_depth), len(set_min_samples_split),
len(set_loss), len(set_learning_rate), len(set_criterion)])
for i in range(len(set_n_estimators)):
for j in range(len(set_min_samples_leaf)):
for k in range(len(set_max_depth)):
for l in range(len(set_min_samples_split)):
for m in range(len(set_loss)):
for n in range(len(set_learning_rate)):
for p in range(len(set_criterion)):
y_forecast_final_gb[:, i, j, k, l, m, n, p] = GradientBoostingRegressor(random_state=0,
n_estimators=
set_n_estimators[
i],
min_samples_leaf=
set_min_samples_leaf[
j],
max_depth=
set_max_depth[
k],
min_samples_split=
set_min_samples_split[
l],
loss=set_loss[
m],
learning_rate=
set_learning_rate[
n],
criterion=
set_criterion[
p]).fit(
X_train_final_forecast, y_train_final_forecast).predict(X)
y_forecast_final_gb = y_forecast_final_gb.reshape(X.shape[0],
len(set_n_estimators) * len(set_min_samples_leaf) * len(
set_max_depth) * len(set_min_samples_split) * len(
set_loss) * len(set_learning_rate) * len(set_criterion))
y_forecast_final_rf = np.empty(
[X.shape[0], len(set_n_estimators_rf), len(set_min_samples_leaf_rf), len(set_max_features_rf),
len(set_min_samples_split_rf)])
for i in range(len(set_n_estimators_rf)):
for j in range(len(set_min_samples_leaf_rf)):
for k in range(len(set_max_features_rf)):
for l in range(len(set_min_samples_split_rf)):
y_forecast_final_rf[:, i, j, k, l] = RandomForestRegressor(random_state=0,
n_estimators=set_n_estimators_rf[i],
min_samples_leaf=set_min_samples_leaf_rf[
j],
max_features=set_max_features_rf[k],
min_samples_split=
set_min_samples_split_rf[l]).fit(
X_train_final_forecast, y_train_final_forecast).predict(X)
y_forecast_final_rf = y_forecast_final_rf.reshape(X.shape[0],
len(set_n_estimators_rf) * len(set_min_samples_leaf_rf) * len(
set_max_features_rf) * len(set_min_samples_split_rf))
y_forecast_final = np.concatenate([y_forecast_final_gb, y_forecast_final_rf], axis=1)
df_forecast = pd.DataFrame(data=y_forecast_final.T)
df_forecast = df_forecast[is_lesser]
y_forecast_filtered = df_forecast.to_numpy()
y_forecast_filtered = y_forecast_filtered.T
error_filtered = np.empty([y_validation_filtered.shape[1], n_test + n_check])
y_extracted_flltered = y_validation_filtered[n_train: n_train + n_test + n_check, :]
y_extracted_flltered = y_extracted_flltered.T
y_augmented_filtered = y[n_train: n_train + n_test + n_check] * np.ones([y_validation_filtered.shape[1], 1],
dtype=None)
for i in range(y_validation_filtered.shape[1]):
for j in range(n_test + n_check):
error_filtered[i, j] = (y_augmented_filtered[i, j] - y_extracted_flltered[i, j])
error_filtered = np.array(error_filtered)
error_filtered = error_filtered.T
error_all_absolute_flltered = abs(error_filtered)
mape_final_filtered = np.mean(error_all_absolute_flltered, axis=0)
# Training error
error_training = np.empty([y_forecast_filtered.shape[1], (n_train_final_forecast - n_test - n_check)])
# for i in range(y_forecast_filtered.shape[1]):
# for j in range(n_train_final_forecast- n_test):
# error_training[i, j]= (y[]- y_forecast_filtered[i, j])
y_extracted_train = y_forecast_filtered[0: n_train_final_forecast - n_test - n_check, :]
y_extracted_train = y_extracted_train.T
y_augmented_train = y[0: (n_train_final_forecast - n_test - n_check)] * np.ones([y_forecast_filtered.shape[1], 1],
dtype=None)
print('*' * 100)
print('Performing customized optimization')
for i in range(y_forecast_filtered.shape[1]):
for j in range(n_train_final_forecast - n_test - n_check):
error_training[i, j] = (y_augmented_train[i, j] - y_extracted_train[i, j])
error_training = np.array(error_training)
error_training = error_training.T
error_final = np.concatenate((error_training, error_filtered), axis=0)
A = error_filtered
A_train = error_training
n_validation, n_model = A.shape
weights= []
for alpha in alpha_range:
for gamma in gamma_range:
for alpha_train in alpha_train_range:
weights_= CustomizedOptimizationTrainingError(alpha, gamma, delta, alpha_train, n_val_fixed).customized_optimization(A_train, A)
# weights= optimization_num_forecast
weights.append(weights_)
X_validation = y_validation_filtered
n_order_points = X_validation.shape[0]
validation_matrix = np.empty([n_order_points, n_model])
validation_forecast_list= []
final_forecast_list= []
y_forecast_final_list= []
for x_optimal in weights:
for i in range(n_order_points):
for j in range(n_model):
validation_matrix[i, j] = X_validation[i, j] * x_optimal[j]
validation_forecast = np.sum(validation_matrix, axis=1)
validation_forecast_list.append(validation_forecast)
X_forecast = y_forecast_filtered
forecast_matrix = np.empty([n_order_points, n_model])
for i in range(n_order_points):
for j in range(n_model):
forecast_matrix[i, j] = X_forecast[i, j] * x_optimal[j]
final_forecast = np.sum(forecast_matrix, axis=1)
final_forecast_list.append(final_forecast)
return final_forecast_list, validation_forecast_list, y_forecast_final, weights
def simple_support(forecast):
for i in range(forecast.shape[0]):
if forecast[i]<= 0.25*np.mean(forecast):
forecast[i]= np.mean(forecast)*(1+ 0.01*np.random.randn(1, 1))
return forecast
def forecast_simple(X, y, alpha_range, gamma_range, delta):
final_forecast_list, validation_forecast_list, y_forecast_final, weights = forecast_module(set_n_estimators,
set_min_samples_leaf,
set_max_depth,
set_min_samples_split, set_loss,
set_learning_rate, set_criterion,
set_n_estimators_rf,
set_min_samples_leaf_rf,
set_max_features_rf,
set_min_samples_split_rf, X, y, alpha_range, gamma_range, delta)
return final_forecast_list, validation_forecast_list, y_forecast_final, weights
def performance_mat(X, y, alpha_range, gamma_range, delta):
final_forecast_list, validation_forecast_list, y_forecast_final, weights = forecast_simple(X, y, alpha_range, gamma_range, delta)
error_list= []
# validation_forecast= simple_support(validation_forecast)
for validation_forecast in validation_forecast_list:
y = np.array(y)[-n_check:]
y_bar = np.array(validation_forecast)[-(n_check + 6):][:n_check]
error = np.empty([y.shape[0]])
for i in range(y.shape[0]):
error[i] = abs(y[i] - y_bar[i]) / (y[i] + y_bar[i])
s_mape = 200 * np.mean(error)
error_r = np.empty([y.shape[0]])
for i in range(y.shape[0]):
error_r[i] = 100 * abs(y[i] - y_bar[i]) / (y[i])
err_rmse = np.mean(error_r)
error_list.append(err_rmse)
error_final= np.array(error_list)
validation_forecast_flat= np.array(validation_forecast_list)
final_forecast_flat= np.array(final_forecast_list)
return error_final, validation_forecast_flat, final_forecast_flat, weights
def rationalize_columns(X, y):
X= X.iloc[:y.shape[0]]
return X
df= pd.read_csv(filename)
# X= df.drop(['Date', 'Order'], axis= 1)
X= drop_col(df)
y= np.array(df[target_variable].dropna())
def train_for_fs(df):
n_train= df.shape[0] - (n_test + n_check)
return n_train
#
n_train_fs= train_for_fs(df)
X_train= X[:n_train_fs]
y_train= y[:n_train_fs]
selected_features = []
X_feat, col_list= fs_scaled(X_train, y_train, loss_list, cv_list, step_list, is_scaling= 1)
# print(col_list)
def create_set(col_list):
col_set= []
for l in col_list:
col_set.append(tuple(l))
col_set= set(col_set)
return col_set
col_list= create_set(col_list)
def to_str(col_list):
col_list_str= []
for l in col_list:
for feat_name in l:
feat_name= str(feat_name)
col_list_str.append(list(l))
return col_list_str
col_list= to_str(col_list)
X_final_df= []
for col_name in col_list:
X_ind_ = X[col_name]
X_final_df.append(X_ind_)
rmse_list= []
validation_list= []
val_list= []
for_list= []
weight_list= []
for X_df_one in X_final_df:
try:
error_final, validation_forecast_flat, final_forecast_flat, weights= performance_mat(X_df_one, y, alpha_range, gamma_range, delta)
# print('Percentage error:', round(error_final, 2))
rmse_list.append(error_final)
val_list.append(validation_forecast_flat)
for_list.append(final_forecast_flat)
weight_list.append(weights)
# validation_list.append(validation_forecast_)
except:
continue
plt.plot(np.array(rmse_list).T, ':+')
plt.show()
# extract the configuration with lowest error
rmse_all = np.array(rmse_list).reshape(-1)
# find the features where the average rmse is smallest
def rmse_array(rmse_list):
rmse_arr= np.array(rmse_list)
rmse_mean= np.mean(rmse_arr, axis=1)
min_index= np.argmin(rmse_mean)
return min_index
def process_weight_list(weight_list):
weight_list= np.array(weight_list)
weight_list= weight_list.reshape(weight_list.shape[0]* weight_list.shape[1], -1)
return weight_list
best_feature_arg= rmse_array(rmse_list)
X_best= X_final_df[best_feature_arg]
weight_list= process_weight_list(weight_list)
def ind_best_hyperparameter(rmse):
n_opt= np.argmin(rmse)
return n_opt
n_opt= ind_best_hyperparameter(rmse_all)
Opt_weight= weight_list[n_opt, :]
arg_weight= Opt_weight.argsort()[-3:]
# print('The respective weight is:', Opt_weight[arg_weight])
model_list= []
for n_estimators in set_n_estimators:
for min_samples_leaf in set_min_samples_leaf:
for max_depth in set_max_depth:
for min_samples_split in set_min_samples_split:
for loss in set_loss:
for learning_rate in set_learning_rate:
for criterion in set_criterion:
model_list.append(GradientBoostingRegressor(random_state=0,
n_estimators= n_estimators,
min_samples_leaf= min_samples_leaf,
max_depth= max_depth,
min_samples_split= min_samples_split,
loss= loss,
learning_rate= learning_rate,
criterion= criterion))
for n_estimators in set_n_estimators_rf:
for min_samples_leaf in set_min_samples_leaf_rf:
for max_features in set_max_features_rf:
for min_samples_split in set_min_samples_split_rf:
model_list.append(RandomForestRegressor(random_state=0,
n_estimators= n_estimators,
min_samples_leaf= min_samples_leaf,
min_samples_split= min_samples_split))
def weight_num_forecast(X_best, n_num, model_list, df):
X_train= X_best.iloc[:n_num, :]
y= np.array(df[target_variable])
y_train= y[:n_num]
y_pred= []
for model in model_list:
model.fit(X_train, y_train)
y_pred_= model.predict(X_best)
y_pred.append(y_pred_)
return np.array(y_pred), y
y_pred, y_act= weight_num_forecast(X_best, n_num, model_list, df)
def error_cal(y_pred, y_act, n_num):
y_pred_trans= y_pred.T
err_size= df.shape[0] - n_num
err= np.empty([err_size, y_pred.shape[0]])
for i in range(err_size):
for j in range(y_pred.shape[0]):
err[i, j]= 100*(y_act[i] - y_pred_trans[i,j])/y_act[i]
return err
err= error_cal(y_pred, y_act, n_num)
def optimization_num_forecast_dummy(err):
n_validation, n_model = err.shape
x = cp.Variable(n_model)
A= err
objective_value1= cp.norm( A[0, :]@x, 1)
objective_value2= cp.norm( A[1, :]@x, 1)
objective_value3= cp.norm( A[2, :]@x, 1)
objective_value4= cp.norm( A[3, :]@x, 1)
objective_value5= cp.norm( A[4, :]@x, 1)
objective_value6= cp.norm( A[5, :]@x, 1)
# objective_value4= cp.norm( A[3, :]@x, 1)
variance1= cp.sum_squares(A[0, :]*x - mean(A[0, :]*x))
variance2= cp.sum_squares(A[1, :]*x - mean(A[1, :]*x))
variance3= cp.sum_squares(A[2, :]*x - mean(A[2, :]*x))
variance4= cp.sum_squares(A[3, :]*x - mean(A[3, :]*x))
variance5= cp.sum_squares(A[4, :]*x - mean(A[4, :]*x))
variance6= cp.sum_squares(A[5, :]*x - mean(A[5, :]*x))
# variance_sum= variance1+ variance2+ variance3+ variance4
variance_sum= variance1+ variance2+ variance3 + variance4 + variance5 + variance6
max_error1= cp.norm( A[0, :]*x, "inf")
max_error2= cp.norm( A[1, :]*x, "inf")
max_error3= cp.norm( A[2, :]*x, "inf")
max_error4= cp.norm( A[3, :]*x, "inf")
max_error5= cp.norm( A[4, :]*x, "inf")
max_error6= cp.norm( A[5, :]*x, "inf")
# max_error4= cp.norm( A[3, :]*x, "inf")
# max_error_sum= max_error1+ max_error2+ max_error3+ max_error4
max_error_sum= max_error1+ max_error2+ max_error3 + max_error4 + max_error5 + max_error6
testing_error_co= objective_value1 + objective_value2 + objective_value3 + objective_value4 + objective_value5 + objective_value6 + gamma_var*variance_sum+ gamma_max*max_error_sum
objective = cp.Minimize(testing_error_co)
constraints = [alpha2 <= x, 1- delta1<=sum(x), 1+ delta2>= sum(x)]
prob = cp.Problem(objective, constraints)
# The optimal objective value is returned by `prob.solve()`.
result = prob.solve(solver=cp.ECOS)
x_optimal= x.value
return x_optimal
x_optimal= optimization_num_forecast(err)
# y_pred= weight_num_forecast(X_best, n_num, model_list, df)
weight_for_final= Opt_weight[arg_weight]
explainer= []
shap_values= []
for model in model_list:
model.fit(X_best.iloc[:y.shape[0], :], y)
for model in model_list:
explainer_= shap.TreeExplainer(model)
explainer.append(explainer_)
for expla in explainer:
shap_values.append(expla.shap_values(X_best))
# for i in x_optimal.shape[0]:
# wt_shap_values[i]= x_optimal*shap_values
global_importance= np.average(shap_values, axis= 0, weights= Opt_weight)
global_score= np.average(global_importance, axis= 0)
# global_score= np.average(global_importance, axis= 0)
# print(global_score.shape)
simple_global_importance= np.average(shap_values, axis= 0)
simple_global_score= np.average(simple_global_importance, axis= 0)
def plot_bar(X, y):
x_values= X.columns
y_values= y
plt.figure(figsize= (20, 6))
plt.bar(x_values, y_values)
plt.xlabel('Features')
plt.xticks(rotation= 45, fontsize= 10)
plt.ylabel('weighted SHAP value')
plt.show()
# plot_bar(X_best, global_score1)
plot_bar(X_best, global_score)
plot_df= pd.read_csv(filename)
actual= np.array(plot_df['Order'])
num_forecast= np.array(plot_df['Order'])
def visualize_forecast(actual, forecast, num):
fig, ax = plt.subplots(figsize=(14, 6))
ax.plot(rng[-forecast.shape[0]:], forecast, 'r')
ax.plot(rng[0: actual.shape[0]], actual, ':k')
ax.plot(rng[0: num_forecast.shape[0]], num_forecast, 'g')
# ax.plot(rng[-best_forecast.shape[0]:][:-6], y[-rng[-best_forecast.shape[0]:][:-6].shape[0]:])
ax.legend(['Forecasted', 'Actual', 'Numerical forecast'])
plt.show()
def find_best_forecast(list_rmse,
list_forecast,
y):
rmse= np.array(list_rmse)
forecast= np.array(list_forecast)
idx_min_rmse= np.argmin(rmse)
best_forecast_= forecast.reshape(forecast.shape[0]*forecast.shape[1], forecast.shape[2])
best_forecast= best_forecast_[idx_min_rmse, :]
# The second smallest value's index is in partitioned_indices[1]
partitioned_indices = np.argpartition(rmse, 1)[:2]
second_min_index = partitioned_indices[1]
second_best_forecast_= forecast.reshape(forecast.shape[0]*forecast.shape[1], forecast.shape[2])
second_best_forecast= best_forecast_[second_min_index, :]
# print('the best forecast is:', best_forecast)
visualize_forecast(actual, best_forecast, num_forecast)
# plt.plot(y)
return best_forecast, second_best_forecast
best_forecast, second_best_forecast= find_best_forecast(rmse_list,
for_list, y)
best_importance= dict(zip(X_best.columns, global_score))
# for feat, val in best_importance.items():
# print(feat)
with open('features_{}.txt'.format(timestr), 'w') as f:
for feat, val in best_importance.items():
f.write(str(feat + ' ---- '))
f.write(str(val))
f.write('\n')