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sumprices_tabular_covariate_shift.py
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import os
import sys
sys.path.append(os.path.join(os.path.dirname(__file__), ".."))
import matplotlib.pyplot as plt
import numpy as np
import seaborn as sns
from sklearn.linear_model import LinearRegression
from sklearn.linear_model import RANSACRegressor
from sklearn.tree import DecisionTreeRegressor
from sklearn.linear_model import HuberRegressor
from sklearn.linear_model import TheilSenRegressor
from sklearn.metrics import mean_absolute_error as mae
from scipy.stats import wasserstein_distance
import tqdm
from shift15m.datasets import SumPricesRegression
sns.set_style("whitegrid")
dataset = SumPricesRegression()
n_trials = 20
train_sample_size = 100000
test_sample_size = 100000
test_mu = 80
test_sigma = 10
shifts = [
{"train_mu": 80, "train_sigma": 10},
{"train_mu": 75, "train_sigma": 10},
{"train_mu": 70, "train_sigma": 10},
{"train_mu": 65, "train_sigma": 10},
{"train_mu": 60, "train_sigma": 10},
{"train_mu": 55, "train_sigma": 10},
{"train_mu": 50, "train_sigma": 10},
{"train_mu": 45, "train_sigma": 10},
{"train_mu": 40, "train_sigma": 10},
{"train_mu": 35, "train_sigma": 10},
{"train_mu": 30, "train_sigma": 10},
]
models = [
TheilSenRegressor,
HuberRegressor,
RANSACRegressor,
LinearRegression,
DecisionTreeRegressor,
]
models_errors_mean = []
models_errors_std = []
dists = []
for model in models:
model_errors_mean = []
model_errors_std = []
model_dists = []
for shift in shifts:
errors = []
rv_train = np.random.normal(shift["train_mu"], shift["train_sigma"], 10000)
rv_test = np.random.normal(test_mu, test_sigma, 10000)
wd = wasserstein_distance(rv_train, rv_test)
model_dists.append(wd)
for i in tqdm.tqdm(range(n_trials)):
(x_train, y_train), (x_test, y_test) = dataset.load_dataset(
covariate_shift=True,
train_size=train_sample_size,
test_size=test_sample_size,
test_mu=test_mu,
test_sigma=test_sigma,
train_mu=shift["train_mu"],
train_sigma=shift["train_sigma"],
random_seed=i,
)
x_train = x_train.reshape(-1, 1)
x_test = x_test.reshape(-1, 1)
reg = model()
reg.fit(x_train, y_train)
errors.append(mae(reg.predict(x_test), y_test))
model_errors_mean.append(np.mean(errors))
model_errors_std.append(np.std(errors))
print(model_errors_mean)
print(model_errors_std)
models_errors_mean.append(model_errors_mean)
models_errors_std.append(model_errors_std)
dists.append(model_dists)
models_errors_mean = np.array(models_errors_mean)
models_errors_std = np.array(models_errors_std)
colors = ["purple", "green", "blue", "darkcyan", "red"]
print(dists)
print(models_errors_mean)
print(models_errors_std)
fig = plt.figure(figsize=(12, 6))
for i in range(len(models)):
plt.plot(
dists[i],
models_errors_mean[i],
alpha=0.8,
color=colors[i],
label=models[i].__name__,
)
plt.fill_between(
dists[i],
models_errors_mean[i],
models_errors_mean[i] + models_errors_std[i],
alpha=0.2,
color=colors[i],
)
plt.fill_between(
dists[i],
models_errors_mean[i],
models_errors_mean[i] - models_errors_std[i],
alpha=0.2,
color=colors[i],
)
plt.legend()
plt.xlabel(r"$W_1(P_{train}, P_{test})$")
plt.ylabel("MAE")
plt.yscale("log")
plt.savefig("sumprices_regression_covariate_shift.png")
plt.show()