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Full EQL two-phase training experiment.
Usage:
python run_full_experiment.py --city Roskilde --steps_ahead 6 --feature wind_speed
"""
import os, sys, time
import numpy as np
from collections import OrderedDict
from tqdm import tqdm
from scipy.io import loadmat
import tensorflow as tf
import h5py
import matplotlib
matplotlib.use('Agg')
from matplotlib import pyplot as plt
from reproduce_eql import (
SymbolicNet, Constant, Identity, Square, Sin, Sigmoid, Product,
count_double, l12_smooth, get_folders_started, record_base_info,
append_text_to_summary, plot_train_vs_validation, plot_histogram,
plot_descaled_real_vs_prediction, generate_all_data, generate_variable_list,
save_weights, network
)
def run_experiment(target_city, steps_ahead=6, feature="wind_speed"):
target_cities = ["Esbjerg", "Odense", "Roskilde"]
target_city_index = target_cities.index(target_city)
filename = "{}/step{}.mat".format(feature, {6: "1", 12: "2", 18: "3", 24: "4"}[steps_ahead])
data = loadmat('Denmark_data/{}'.format(filename))
y_min = data["y_min_tr"][0][target_city_index]
y_max = data["y_max_tr"][0][target_city_index]
city_configs = {
"Esbjerg": {"lambda_reg": 5.0, "a": 5e-3, "threshold": 8.0e-3},
"Odense": {"lambda_reg": 5.0, "a": 5e-4, "threshold": 7.5e-3},
"Roskilde": {"lambda_reg": 3.0, "a": 5e-3, "threshold": 7.5e-3},
}
city_cfg = city_configs[target_city]
config = {
"use_rescaled_MSE": True,
"a_L_0.5": city_cfg["a"],
"threshold_value": city_cfg["threshold"],
"lambda_reg": city_cfg["lambda_reg"],
"steps_ahead": steps_ahead,
"feature": feature,
"target_city": target_city,
"epochs1": 100,
"epochs2": 100,
"use_phase2": True,
"batch_size": 200,
"phase1_lr": 1e-4,
"phase2_lr": 1e-5,
"eql_number_layers": 2,
"optimizer": "rmsprop",
}
use_rescaled_loss = config["use_rescaled_MSE"]
number_epochs1 = config["epochs1"]
number_epochs2 = config["epochs2"]
threshold_value = config["threshold_value"]
a_L_05 = config["a_L_0.5"]
lambda_reg = config["lambda_reg"]
batch_size = config["batch_size"]
first_phase_lr = config["phase1_lr"]
second_phase_lr = config["phase2_lr"]
x_dim = 80
activation_funcs = [
*[Constant()] * 2,
*[Identity()] * 4,
*[Square()] * 4,
*[Sin()] * 2,
*[Sigmoid()] * 2,
*[Product()] * 2
]
n_layers = 2
n_double = count_double(activation_funcs)
width = len(activation_funcs)
init_weights = [
tf.random.truncated_normal([x_dim, width + n_double], stddev=0.1),
tf.random.truncated_normal([width, width + n_double], stddev=0.5),
tf.random.truncated_normal([width, 1], stddev=1.0)
]
model = SymbolicNet(n_layers, funcs=activation_funcs, initial_weights=init_weights)
phase1_optimizer = tf.keras.optimizers.RMSprop(learning_rate=first_phase_lr)
experiment_number = get_folders_started()
print("\n\n" + "*" * 10 + " Beginning of Experiment {} ".format(experiment_number) + "*" * 10 + "\n\n")
print("Feature : {}, City : {}, Steps ahead : {}".format(feature, target_city, steps_ahead))
record_base_info(experiment_number, **config)
x_train, y_train = generate_all_data("train", steps_ahead, feature, target_city_index)
x_test, y_test = generate_all_data("test", steps_ahead, feature, target_city_index)
train_dataset = tf.data.Dataset.from_tensor_slices((x_train, y_train)).batch(batch_size)
val_dataset = tf.data.Dataset.from_tensor_slices((x_test, y_test)).batch(batch_size)
# Phase 1
best_val_loss = float('inf')
best_val_weights = None
train_loss_results = []
valid_loss_results = []
count_loss_stagnation = 0
for epoch in range(number_epochs1):
epoch_loss_avg = tf.keras.metrics.MeanSquaredError()
for x_batch, y_batch in tqdm(train_dataset, desc=f"P1 Epoch {epoch+1}", leave=False):
with tf.GradientTape() as tape:
y_pred = model(x_batch)
if use_rescaled_loss:
y_pred_r = y_pred * (y_max - y_min) + y_min
y_real_r = y_batch * (y_max - y_min) + y_min
error = tf.keras.losses.MeanSquaredError()(y_real_r, y_pred_r)
else:
error = tf.keras.losses.MeanSquaredError()(y_batch, y_pred)
reg_loss = l12_smooth(model.get_weights(), a_L_05)
loss = error + lambda_reg * reg_loss
grads = tape.gradient(loss, model.get_weights())
phase1_optimizer.apply_gradients(zip(grads, model.get_weights()))
epoch_loss_avg.update_state(y_batch, y_pred)
train_mse = epoch_loss_avg.result().numpy()
train_loss_results.append(train_mse)
val_loss_avg = tf.keras.metrics.MeanSquaredError()
for x_val, y_val in val_dataset:
y_pred_val = model(x_val)
val_loss_avg.update_state(y_val, y_pred_val)
val_mse = val_loss_avg.result().numpy()
valid_loss_results.append(val_mse)
if val_mse < best_val_loss:
best_val_loss = val_mse
best_val_weights = [w.numpy() for w in model.get_weights()]
print(f"P1 Epoch {epoch+1}: val MSE improved to {val_mse:.4e} (train {train_mse:.4e})")
count_loss_stagnation = 0
else:
count_loss_stagnation += 1
print(f"P1 Epoch {epoch+1}: val MSE {val_mse:.4e} (train {train_mse:.4e})")
if count_loss_stagnation >= 4 and epoch > 70:
print("No improvement over 4 epochs, epoch > 70. Exiting phase 1...")
break
save_weights(best_val_weights, experiment_number, "phase1", best_val_loss)
append_text_to_summary(experiment_number, "phase 1 best MSE validation: {}\n".format(best_val_loss))
plot_train_vs_validation(experiment_number, number_epochs1, train_loss_results, valid_loss_results, "phase1")
plot_histogram(experiment_number, best_val_weights[0], "phase1", "weights1", a_L_05)
plot_histogram(experiment_number, best_val_weights[1], "phase1", "weights2", a_L_05)
plot_histogram(experiment_number, best_val_weights[2], "phase1", "weights3", a_L_05)
# Phase 2
if not config["use_phase2"]:
return experiment_number, best_val_loss, None
print("\n--- Starting Phase 2 ---\n")
masked_weights = []
for w_i in best_val_weights:
mask = tf.cast(tf.constant(tf.abs(w_i) > threshold_value), tf.float32)
masked_weights.append(tf.multiply(w_i, mask))
sparsity1 = 100 * np.count_nonzero(masked_weights[0] == 0) / masked_weights[0].size
sparsity2 = 100 * np.count_nonzero(masked_weights[1] == 0) / masked_weights[1].size
sparsity3 = 100 * np.count_nonzero(masked_weights[2] == 0) / masked_weights[2].size
append_text_to_summary(experiment_number, f"sparsity1 phase2 after masking: {sparsity1}\n")
append_text_to_summary(experiment_number, f"sparsity2 phase2 after masking: {sparsity2}\n")
append_text_to_summary(experiment_number, f"sparsity3 phase2 after masking: {sparsity3}\n")
masked_model = SymbolicNet(n_layers, funcs=activation_funcs, initial_weights=masked_weights)
phase2_optimizer = tf.keras.optimizers.RMSprop(learning_rate=second_phase_lr)
train_loss_results2 = []
valid_loss_results2 = []
best_val_loss2 = float('inf')
best_val_weights2 = None
count_loss_stagnation = 0
for epoch in range(number_epochs2):
epoch_loss_avg = tf.keras.metrics.MeanSquaredError()
for x_batch, y_batch in tqdm(train_dataset, desc=f"P2 Epoch {epoch+1}", leave=False):
with tf.GradientTape() as tape:
y_pred = masked_model(x_batch)
if use_rescaled_loss:
y_pred_r = y_pred * (y_max - y_min) + y_min
y_real_r = y_batch * (y_max - y_min) + y_min
error = tf.keras.losses.MeanSquaredError()(y_real_r, y_pred_r)
else:
error = tf.keras.losses.MeanSquaredError()(y_batch, y_pred)
loss = error
grads = tape.gradient(loss, masked_model.get_weights())
phase2_optimizer.apply_gradients(zip(grads, masked_model.get_weights()))
epoch_loss_avg.update_state(y_batch, y_pred)
train_mse = epoch_loss_avg.result().numpy()
train_loss_results2.append(train_mse)
val_loss_avg = tf.keras.metrics.MeanSquaredError()
for x_val, y_val in val_dataset:
y_pred_val = masked_model(x_val)
val_loss_avg.update_state(y_val, y_pred_val)
val_mse = val_loss_avg.result().numpy()
valid_loss_results2.append(val_mse)
if val_mse < best_val_loss2:
best_val_loss2 = val_mse
best_val_weights2 = [w.numpy() for w in masked_model.get_weights()]
print(f"P2 Epoch {epoch+1}: val MSE improved to {val_mse:.4e} (train {train_mse:.4e})")
count_loss_stagnation = 0
else:
count_loss_stagnation += 1
print(f"P2 Epoch {epoch+1}: val MSE {val_mse:.4e} (train {train_mse:.4e})")
if count_loss_stagnation >= 4 and epoch > 80:
print("No improvement over 4 epochs, epoch > 80. Exiting phase 2...")
break
save_weights(best_val_weights2, experiment_number, "phase2", best_val_loss2)
append_text_to_summary(experiment_number, "phase 2 best MSE validation: {}\n".format(best_val_loss2))
plot_train_vs_validation(experiment_number, number_epochs2, train_loss_results2, valid_loss_results2, "phase2")
# Extract formula
var_names = generate_variable_list(26, 80)
expr = network(best_val_weights2, activation_funcs, var_names[:x_dim], threshold=0)
print("\nExtracted formula:\n", expr)
append_text_to_summary(experiment_number, "Formula after phase2: {}\n".format(expr))
# Final prediction plot
best_model = SymbolicNet(n_layers, funcs=activation_funcs,
initial_weights=[tf.constant(w) for w in best_val_weights2])
y_predicted = best_model(x_test)
mae = plot_descaled_real_vs_prediction(experiment_number, y_test, y_predicted, y_min, y_max)
append_text_to_summary(experiment_number, "MAE: {}\n".format(mae))
print("\nMAE: {}".format(mae))
print("\n\n" + "*" * 10 + " End of Experiment {} ".format(experiment_number) + "*" * 10 + "\n\n")
return experiment_number, best_val_loss, best_val_loss2
if __name__ == "__main__":
import argparse
parser = argparse.ArgumentParser()
parser.add_argument("--city", type=str, default="Roskilde", choices=["Esbjerg", "Odense", "Roskilde"])
parser.add_argument("--steps_ahead", type=int, default=6)
parser.add_argument("--feature", type=str, default="wind_speed")
args = parser.parse_args()
run_experiment(args.city, args.steps_ahead, args.feature)
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