# -*- coding: utf-8 -*- # MegEngine is Licensed under the Apache License, Version 2.0 (the "License") # # Copyright (c) 2014-2021 Megvii Inc. All rights reserved. # # Unless required by applicable law or agreed to in writing, # software distributed under the License is distributed on an # "AS IS" BASIS, WITHOUT ARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. import itertools import numpy as np import megengine as mge import megengine.autodiff as ad import megengine.functional as F from megengine import Tensor from megengine.core import get_option, set_option from megengine.module import Linear, Module from megengine.optimizer import SGD batch_size = 64 data_shape = (batch_size, 2) label_shape = (batch_size,) def minibatch_generator(): while True: inp_data = np.zeros((batch_size, 2)) label = np.zeros(batch_size, dtype=np.int32) for i in range(batch_size): # [x0, x1], sampled from U[-1, 1] inp_data[i, :] = np.random.rand(2) * 2 - 1 label[i] = 0 if np.prod(inp_data[i]) < 0 else 1 yield inp_data.astype(np.float32), label.astype(np.int32) def calculate_precision(data: np.ndarray, pred: np.ndarray) -> float: """ Calculate precision for given data and prediction. :type data: [[x, y], ...] :param data: Input data :type pred: [[x_pred, y_pred], ...] :param pred: Network output data """ correct = 0 assert len(data) == len(pred) for inp_data, pred_output in zip(data, pred): label = 0 if np.prod(inp_data) < 0 else 1 pred_label = np.argmax(pred_output) if pred_label == label: correct += 1 return float(correct) / len(data) class XORNet(Module): def __init__(self): self.mid_layers = 14 self.num_class = 2 super().__init__() self.fc0 = Linear(self.num_class, self.mid_layers, bias=True) self.fc1 = Linear(self.mid_layers, self.mid_layers, bias=True) self.fc2 = Linear(self.mid_layers, self.num_class, bias=True) def forward(self, x): y = self.fc0(x) x = F.tanh(y) y = self.fc1(x) x = F.tanh(y) x = self.fc2(x) y = (x + x) / 2 # in order to test drop() y._drop() return y def test_training_converge_with_drop(): set_option("enable_drop", 1) net = XORNet() opt = SGD(net.parameters(), lr=0.01, momentum=0.9, weight_decay=5e-4) gm = ad.GradManager().attach(net.parameters()) def train(data, label): with gm: pred = net(data) loss = F.nn.cross_entropy(pred, label) gm.backward(loss) return loss def infer(data): return net(data) train_dataset = minibatch_generator() losses = [] for data, label in itertools.islice(train_dataset, 2000): data = Tensor(data, dtype=np.float32) label = Tensor(label, dtype=np.int32) opt.clear_grad() loss = train(data, label) opt.step() losses.append(loss.numpy()) assert np.mean(losses[-100:]) < 0.1, "Final training Loss must be low enough" ngrid = 10 x = np.linspace(-1.0, 1.0, ngrid) xx, yy = np.meshgrid(x, x) xx = xx.reshape((ngrid * ngrid, 1)) yy = yy.reshape((ngrid * ngrid, 1)) data = mge.tensor(np.concatenate((xx, yy), axis=1).astype(np.float32)) pred = infer(Tensor(data)).numpy() precision = calculate_precision(data.numpy(), pred) assert precision == 1.0, "Test precision must be high enough, get {}".format( precision ) set_option("enable_drop", 0)