optimizater experiment

optimizer/main1.py

+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.colors as plt_cl
+
+# ------------------定义目标函数beale、目标函数的偏导函数dbeale_dx，并画出目标函数---------------------
+# 定义函数beale
+def beale(x1, x2):
+    return (1.5 - x1 + x1 * x2) ** 2 + (2.25 - x1 + x1 * x2 ** 2) ** 2 + (2.625 - x1 + x1 * x2 ** 3) ** 2
+
+# 定义函数beale的偏导
+def dbeale_dx(x1, x2):
+    dfdx1 = 2 * (1.5 - x1 + x1 * x2) * (x2 - 1) + 2 * (2.25 - x1 + x1 * x2 ** 2) * (x2 ** 2 - 1) + 2 * (
+            2.625 - x1 + x1 * x2 ** 3) * (x2 ** 3 - 1)
+    dfdx2 = 2 * (1.5 - x1 + x1 * x2) * x1 + 2 * (2.25 - x1 + x1 * x2 ** 2) * (2 * x1 * x2) + 2 * (
+            2.625 - x1 + x1 * x2 ** 3) * (3 * x1 * x2 ** 2)
+    return dfdx1, dfdx2
+step_x1, step_x2 = 0.2, 0.2
+X1, X2 = np.meshgrid(np.arange(-5, 5 + step_x1, step_x1),
+                     np.arange(-5, 5 + step_x2, step_x2))
+Y = beale(X1, X2)
+print("目标结果 (x_1, x_2) = (3, 0.5)")
+
+# 定义画图函数
+def gd_plot(x_traj):
+    plt.rcParams['figure.figsize'] = [6, 6]
+    plt.contour(X1, X2, Y, levels=np.logspace(0, 6, 30),
+                norm=plt_cl.LogNorm(), cmap=plt.cm.jet)
+    plt.title('2D Contour Plot of Beale function(Momentum)')
+    plt.xlabel('$x_1$')
+    plt.ylabel('$x_2$')
+    plt.axis('equal')
+    plt.plot(3, 0.5, 'k*', markersize=10)
+    if x_traj is not None:
+        x_traj = np.array(x_traj)
+        plt.plot(x_traj[:, 0], x_traj[:, 1], 'k-')
+    plt.show()
+
+gd_plot(None)
+
+# ------------------------------------------------------------无优化器-------------------------------------------
+def gd_no(df_dx, x0, conf_para=None):
+    if conf_para is None:
+        conf_para = {}
+    conf_para.setdefault('n_iter', 1000)  # 迭代次数
+    conf_para.setdefault('learning_rate', 0.001)  # 设置学习率
+    x_traj = []
+    x_traj.append(x0)
+    v = np.zeros_like(x0)
+    for iter in range(1, conf_para['n_iter'] + 1):
+        x_traj.append(x_traj[-1])
+    return x_traj
+
+x0 = np.array([1.0, 1.5])
+conf_para_no = {'n_iter': 2000, 'learning_rate': 0.005}
+x_traj_no = gd_no(dbeale_dx, x0, conf_para_no)
+print("无优化器求得极值点 (x_1, x_2) = (%s, %s)" % (x_traj_no[-1][0], x_traj_no[-1][1]))
+gd_plot(x_traj_no)
+
+# ------------------------------------------------------------SGD-------------------------------------------
+def gd_sgd(df_dx, x0, conf_para=None):
+    if conf_para is None:
+        conf_para = {}
+    conf_para.setdefault('n_iter', 1000)  # 迭代次数
+    conf_para.setdefault('learning_rate', 0.001)  # 设置学习率
+    x_traj = []
+    x_traj.append(x0)
+    v = np.zeros_like(x0)
+    for iter in range(1, conf_para['n_iter'] + 1):
+        dfdx = np.array(df_dx(x_traj[-1][0], x_traj[-1][1]))
+        v = - conf_para['learning_rate'] * dfdx
+        x_traj.append(x_traj[-1] + v)
+    return x_traj
+
+x0 = np.array([1.0, 1.5])
+conf_para_sgd = {'n_iter': 2000, 'learning_rate': 0.005}
+x_traj_sgd = gd_sgd(dbeale_dx, x0, conf_para_sgd)
+print("SGD求得极值点 (x_1, x_2) = (%s, %s)" % (x_traj_sgd[-1][0], x_traj_sgd[-1][1]))
+gd_plot(x_traj_sgd)
+
+# -------------------------------------------------------Momentum---------------------------------
+def gd_momentum(df_dx, x0, conf_para=None):
+    if conf_para is None:
+        conf_para = {}
+    conf_para.setdefault('n_iter', 1000)  # 迭代次数
+    conf_para.setdefault('learning_rate', 0.001)  # 设置学习率
+    conf_para.setdefault('momentum', 0.9)  # 设置动量参数
+    x_traj = []
+    x_traj.append(x0)
+    v = np.zeros_like(x0)
+    for iter in range(1, conf_para['n_iter'] + 1):
+        dfdx = np.array(df_dx(x_traj[-1][0], x_traj[-1][1]))
+        v = conf_para['momentum'] * v - conf_para['learning_rate'] * dfdx
+        x_traj.append(x_traj[-1] + v)
+    return x_traj
+
+x0 = np.array([1.0, 1.5])
+conf_para_momentum = {'n_iter': 500, 'learning_rate': 0.005}
+x_traj_momentum = gd_momentum(dbeale_dx, x0, conf_para_momentum)
+print("Momentum求得极值点 (x_1, x_2) = (%s, %s)" % (x_traj_momentum[-1][0], x_traj_momentum[-1][1]))
+gd_plot(x_traj_momentum)
+
+# ----------------------------------------------------adagrad-----------------------------
+def gd_adagrad(df_dx, x0, conf_para=None):
+    if conf_para is None:
+        conf_para = {}
+    conf_para.setdefault('n_iter', 1000)  # 迭代次数
+    conf_para.setdefault('learning_rate', 0.001)  # 学习率
+    conf_para.setdefault('epsilon', 1e-7)
+    x_traj = []
+    x_traj.append(x0)
+    r = np.zeros_like(x0)
+    for iter in range(1, conf_para['n_iter'] + 1):
+        dfdx = np.array(df_dx(x_traj[-1][0], x_traj[-1][1]))
+        r += dfdx ** 2
+        x_traj.append(x_traj[-1] - conf_para['learning_rate'] / (np.sqrt(r) + conf_para['epsilon']) * dfdx)
+    return x_traj
+
+x0 = np.array([1.0, 1.5])
+conf_para_adag = {'n_iter': 500, 'learning_rate': 2}
+x_traj_adag = gd_adagrad(dbeale_dx, x0, conf_para_adag)
+print("Adagrad求得极值点 (x_1, x_2) = (%s, %s)" % (x_traj_adag[-1][0], x_traj_adag[-1][1]))
+gd_plot(x_traj_adag)

optimizer/main2.py

+import csv
+import os
+import time
+
+import numpy as np
+from easydict import EasyDict as edict
+from matplotlib import pyplot as plt
+
+import mindspore
+from mindspore import nn
+from mindspore import context
+from mindspore import dataset
+from mindspore.train.callback import TimeMonitor, LossMonitor
+from mindspore import Tensor
+from mindspore.train import Model
+from mindspore.train.callback import ModelCheckpoint, CheckpointConfig
+
+context.set_context(mode=context.GRAPH_MODE, device_target="Ascend")
+
+# 解析执行本脚本时的传参
+import argparse
+parser = argparse.ArgumentParser()
+parser.add_argument('--data_url', required=True, default=None, help='Location of data.')
+parser.add_argument('--train_url', required=True, default=None, help='Location of training outputs.')
+args, unknown = parser.parse_known_args()
+
+import moxing as mox
+mox.file.copy_parallel(src_url=os.path.join(args.data_url, 'iris.data'), dst_url='iris.data')  # 将OBS桶中数据拷贝到容器中
+
+cfg = edict({
+    'data_size': 150,
+    'train_size': 120,  # 训练集大小
+    'test_size': 30,  # 测试集大小
+    'feature_number': 4,  # 输入特征数
+    'num_class': 3,  # 分类类别
+    'batch_size': 30,
+    'data_dir': 'iris.data',  # 执行容器中数据集所在路径
+    'save_checkpoint_steps': 5,  # 多少步保存一次模型
+    'keep_checkpoint_max': 1,  # 最多保存多少个模型
+    'out_dir_no_opt': './model_iris/no_opt',  # 保存模型路径，无优化器模型
+    'out_dir_sgd': './model_iris/sgd',  # 保存模型路径,SGD优化器模型
+    'out_dir_momentum': './model_iris/momentum',  # 保存模型路径，momentum模型
+    'out_dir_adam': './model_iris/adam',  # 保存模型路径，adam优化器模型
+    'output_prefix': "checkpoint_fashion_forward"  # 保存模型文件名
+})
+
+
+# 读取数据并预处理:
+with open(cfg.data_dir) as csv_file:
+    data = list(csv.reader(csv_file, delimiter=','))
+
+# 共150条数据，将数据集的4个属性作为自变量X。将数据集的3个类别映射为{0, 1，2}，作为因变量Y。
+label_map = {'Iris-setosa': 0, 'Iris-versicolor': 1, 'Iris-virginica': 2}
+X = np.array([[float(x) for x in s[:-1]] for s in data[:cfg.data_size]], np.float32)
+Y = np.array([label_map[s[-1]] for s in data[:150]], np.int32)
+
+# 将数据集分为训练集120条，测试集30条。
+train_idx = np.random.choice(cfg.data_size, cfg.train_size, replace=False)
+test_idx = np.array(list(set(range(cfg.data_size)) - set(train_idx)))
+X_train, Y_train = X[train_idx], Y[train_idx]
+X_test, Y_test = X[test_idx], Y[test_idx]
+print('训练数据x尺寸：', X_train.shape)
+print('训练数据y尺寸：', Y_train.shape)
+print('测试数据x尺寸：', X_test.shape)
+print('测试数据y尺寸：', Y_test.shape)
+
+# 使用MindSpore GeneratorDataset接口将numpy.ndarray类型的数据转换为Dataset。
+def gen_data(X_train, Y_train, epoch_size):
+    XY_train = list(zip(X_train, Y_train))
+    ds_train = dataset.GeneratorDataset(XY_train, ['x', 'y'])
+    ds_train.set_dataset_size(cfg.train_size)
+    ds_train = ds_train.shuffle(buffer_size=cfg.train_size).batch(cfg.batch_size, drop_remainder=True)
+    XY_test = list(zip(X_test, Y_test))
+    ds_test = dataset.GeneratorDataset(XY_test, ['x', 'y'])
+    ds_test.set_dataset_size(cfg.test_size)
+    ds_test = ds_test.shuffle(buffer_size=cfg.test_size).batch(cfg.test_size, drop_remainder=True)
+    return ds_train, ds_test
+
+
+# 继承并重写LossMonitor
+class SubLossMonitor(LossMonitor):
+    def epoch_end(self, run_context):
+        pass
+
+    def step_end(self, run_context):
+        cb_params = run_context.original_args()
+        step_loss = cb_params.net_outputs
+
+        if isinstance(step_loss, (tuple, list)) and isinstance(step_loss[0], Tensor):
+            step_loss = step_loss[0]
+        if isinstance(step_loss, Tensor):
+            step_loss = np.mean(step_loss.asnumpy())
+
+        self.losses.append(step_loss)
+        cur_step_in_epoch = int((cb_params.cur_step_num - 1) % cb_params.batch_num) + 1
+
+        if isinstance(step_loss, float) and (np.isnan(step_loss) or np.isinf(step_loss)):
+            raise ValueError("Epoch: [{:3d}/{:3d}], step: [{:5d}/{:5d}]. "
+                             "Invalid loss, terminating training.".format(
+                cb_params.cur_epoch_num - 1, cb_params.epoch_num,
+                cur_step_in_epoch, cb_params.batch_num))
+
+        if self._per_print_times != 0 and cb_params.cur_step_num % self._per_print_times == 0:
+            print("epoch: {} step {}, loss: {}, avg loss: {:5.3f}".format(cb_params.cur_epoch_num,
+                                                                          cur_step_in_epoch,
+                                                                          step_loss, np.mean(self.losses)), flush=True)
+
+
+# 训练
+def train(network, net_opt, ds_train, prefix, directory, print_times):
+    net_loss = nn.SoftmaxCrossEntropyWithLogits(is_grad=False, sparse=True, reduction="mean")
+    model = Model(network, loss_fn=net_loss, optimizer=net_opt, metrics={"acc"})
+    loss_cb = SubLossMonitor(per_print_times=print_times)
+    config_ck = CheckpointConfig(save_checkpoint_steps=cfg.save_checkpoint_steps,
+                                 keep_checkpoint_max=cfg.keep_checkpoint_max)
+    ckpoint_cb = ModelCheckpoint(prefix=prefix, directory=directory, config=config_ck)
+    print("============== Starting Training ==============")
+    model.train(epoch_size, ds_train, callbacks=[ckpoint_cb, loss_cb], dataset_sink_mode=False)
+    return model
+
+
+# 评估预测
+def eval_predict(model, ds_test):
+    # 使用测试集评估模型，打印总体准确率
+    metric = model.eval(ds_test)
+    print(metric)
+    # 预测
+    test_ = ds_test.create_dict_iterator().get_next()
+    test = Tensor(test_['x'], mindspore.float32)
+    predictions = model.predict(test)
+    predictions = predictions.asnumpy()
+    for i in range(10):
+        p_np = predictions[i, :]
+        p_list = p_np.tolist()
+        print('第' + str(i) + '个sample预测结果：', p_list.index(max(p_list)), '   真实结果：', test_['y'][i])
+
+
+# --------------------------------------------------无优化器-----------------------------------
+epoch_size = 20
+print('------------------无优化器--------------------------')
+# 数据
+ds_train, ds_test = gen_data(X_train, Y_train, epoch_size)
+# 定义网络并训练
+network = nn.Dense(cfg.feature_number, cfg.num_class)
+model = train(network, None, ds_train, "checkpoint_no_opt", cfg.out_dir_no_opt, 4)
+# 评估预测
+eval_predict(model, ds_test)
+
+# ---------------------------------------------------SGD-------------------------------------
+epoch_size = 200
+lr = 0.01
+print('-------------------SGD优化器-----------------------')
+# 数据
+ds_train, ds_test = gen_data(X_train, Y_train, epoch_size)
+# 定义网络并训练、测试、预测
+network = nn.Dense(cfg.feature_number, cfg.num_class)
+net_opt = nn.SGD(network.trainable_params(), lr)
+model = train(network, net_opt, ds_train, "checkpoint_sgd", cfg.out_dir_sgd, 40)
+# 评估预测
+eval_predict(model, ds_test)
+
+# ----------------------------------------------------Momentum-------------------------------
+epoch_size = 20
+lr = 0.01
+print('-------------------Momentum优化器-----------------------')
+# 数据
+ds_train, ds_test = gen_data(X_train, Y_train, epoch_size)
+# 定义网络并训练
+network = nn.Dense(cfg.feature_number, cfg.num_class)
+net_opt = nn.Momentum(network.trainable_params(), lr, 0.9)
+model = train(network, net_opt, ds_train, "checkpoint_momentum", cfg.out_dir_momentum, 4)
+# 评估预测
+eval_predict(model, ds_test)
+
+# ----------------------------------------------------Adam-----------------------------------
+epoch_size = 15
+lr = 0.1
+print('------------------Adam优化器--------------------------')
+# 数据
+ds_train, ds_test = gen_data(X_train, Y_train, epoch_size)
+# 定义网络并训练
+network = nn.Dense(cfg.feature_number, cfg.num_class)
+net_opt = nn.Adam(network.trainable_params(), learning_rate=lr)
+model = train(network, net_opt, ds_train, "checkpoint_adam", cfg.out_dir_adam, 4)
+# 评估预测
+eval_predict(model, ds_test)
+
+# -------------------------------------------------------------------------------------------
+mox.file.copy_parallel(src_url='model_iris', dst_url=args.train_url)  # 将容器输出拷贝到OBS桶中