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Copy pathts_prediction.py
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135 lines (106 loc) · 3.34 KB
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import numpy as np
import matplotlib.pyplot as plt
from sklearn.model_selection import train_test_split
from tqdm import tqdm
import torch
import pydynet.nn as nn
from pydynet.optim import Adam
def windowize(y, input_len, horizon=1, stride=1, step=1):
y = np.asarray(y)
max_i = len(y) - (input_len + horizon) * step + step
idx_inputs = []
idx_targets = []
for i in range(0, max_i, stride):
inp_idx = i + np.arange(0, input_len * step, step)
tgt_idx = i + input_len * step + np.arange(0, horizon * step, step)
idx_inputs.append(inp_idx)
idx_targets.append(tgt_idx)
X = y[np.array(idx_inputs)]
Y = y[np.array(idx_targets)]
return (
torch.tensor(X[..., np.newaxis]),
torch.tensor(Y),
)
TIME_STEP = 40 # rnn 时序步长数
INPUT_SIZE = 1 # rnn 的输入维度
H_SIZE = 32 # rnn 隐藏单元个数
EPOCHS = 50 # 总共训练次数
h_state = None # 隐藏层状态
def f(t):
return np.sin(np.pi * t) + 0.5 * np.cos(2 * np.pi * t)
steps = np.arange(0, 100, .05)
X, Y = windowize(f(steps), input_len=TIME_STEP, horizon=1, stride=1, step=1)
X_train, X_test, Y_train, Y_test = train_test_split(
X,
Y,
test_size=0.2,
random_state=42,
)
class RNN(nn.Module):
def __init__(self):
super(RNN, self).__init__()
self.rnn = nn.GRU(
input_size=INPUT_SIZE,
hidden_size=H_SIZE,
num_layers=1,
batch_first=True,
dtype=np.float32,
)
self.out = nn.Linear(H_SIZE, 1)
def forward(self, x, h_state):
_, h_state = self.rnn(x, h_state)
out = self.out(h_state[:, self.rnn.num_layers - 1, :])
return out
rnn = RNN()
optimizer = Adam(rnn.parameters(), lr=0.01)
criterion = nn.MSELoss()
loss_list = []
plt.rcParams['font.sans-serif'] = ['Times New Roman']
plt.rcParams['mathtext.fontset'] = 'stix'
plt.rcParams['xtick.direction'] = 'in'
plt.rcParams['ytick.direction'] = 'in'
plt.rcParams['axes.linewidth'] = 0.5
bar = tqdm(range(EPOCHS))
visual_steps = np.arange(0, 10, .05)
visual_X, visual_Y = windowize(f(visual_steps),
TIME_STEP,
horizon=1,
stride=1,
step=1)
for step in bar:
rnn.train()
prediction = rnn(X_train, h_state)
train_loss = criterion(prediction, Y_train)
optimizer.zero_grad()
train_loss.backward()
optimizer.step()
plt.figure(figsize=(5, 3))
plt.grid()
rnn.eval()
with torch.no_grad():
test_loss = criterion(rnn(X_test, h_state), Y_test)
plt.plot(visual_steps[TIME_STEP:],
visual_Y.numpy(),
'r-',
lw=0.7,
label=r'$f(x)=\sin(\pi x)+\cos(2\pi x)/2$')
plt.plot(
visual_steps[TIME_STEP:],
rnn(visual_X, h_state).numpy(),
'b-.',
lw=0.7,
label='Prediction',
)
plt.xticks([4, 6, 8, 10])
plt.yticks([-1.6, -.8, 0, .8])
plt.legend(loc=1)
plt.ylim(-1.6, 0.8)
plt.xlim(visual_steps[TIME_STEP], 10)
plt.title('Prediction with GRU')
plt.tight_layout()
plt.savefig("imgs/rnn.png")
plt.close()
bar.set_postfix(
train_loss="{:.5f}".format(train_loss.item()),
test_loss="{:.5f}".format(test_loss.item()),
)