From 45d1e4970df1c914e8a250278ff9ed4743fda8d4 Mon Sep 17 00:00:00 2001
From: dayhaha <18800111918@163.com>
Date: Wed, 4 Jan 2017 10:48:07 +0800
Subject: [PATCH] initial complete for recognize_digits
---
recognize_digits/README.md | 582 +++++++++++++++++-
recognize_digits/data/get_mnist_data.sh | 35 ++
recognize_digits/image/Conv_layer.png | Bin 0 -> 56507 bytes
recognize_digits/image/MLP.png | Bin 0 -> 107651 bytes
recognize_digits/image/Max_pooling.png | Bin 0 -> 44061 bytes
recognize_digits/image/cnn.png | Bin 0 -> 44500 bytes
recognize_digits/image/mlp_train_log.png | Bin 0 -> 58618 bytes
.../image/mnist_example_image.png | Bin 0 -> 30626 bytes
recognize_digits/image/softmax_regression.png | Bin 0 -> 54755 bytes
recognize_digits/image/softmax_train_log.png | Bin 0 -> 59217 bytes
recognize_digits/src/cnn_mnist.py | 71 +++
recognize_digits/src/evaluate.py | 37 ++
recognize_digits/src/load_data.py | 53 ++
recognize_digits/src/mlp_mnist.py | 55 ++
recognize_digits/src/mnist_provider.py | 48 ++
recognize_digits/src/plot_error.py | 36 ++
recognize_digits/src/predict.py | 77 +++
recognize_digits/src/softmax_mnist.py | 50 ++
recognize_digits/src/train.sh | 34 +
19 files changed, 1077 insertions(+), 1 deletion(-)
create mode 100755 recognize_digits/data/get_mnist_data.sh
create mode 100644 recognize_digits/image/Conv_layer.png
create mode 100644 recognize_digits/image/MLP.png
create mode 100644 recognize_digits/image/Max_pooling.png
create mode 100644 recognize_digits/image/cnn.png
create mode 100644 recognize_digits/image/mlp_train_log.png
create mode 100644 recognize_digits/image/mnist_example_image.png
create mode 100644 recognize_digits/image/softmax_regression.png
create mode 100644 recognize_digits/image/softmax_train_log.png
create mode 100644 recognize_digits/src/cnn_mnist.py
create mode 100755 recognize_digits/src/evaluate.py
create mode 100644 recognize_digits/src/load_data.py
create mode 100644 recognize_digits/src/mlp_mnist.py
create mode 100644 recognize_digits/src/mnist_provider.py
create mode 100644 recognize_digits/src/plot_error.py
create mode 100644 recognize_digits/src/predict.py
create mode 100644 recognize_digits/src/softmax_mnist.py
create mode 100755 recognize_digits/src/train.sh
diff --git a/recognize_digits/README.md b/recognize_digits/README.md
index 566844d..04e417c 100644
--- a/recognize_digits/README.md
+++ b/recognize_digits/README.md
@@ -1 +1,581 @@
-TODO: Write about https://github.com/PaddlePaddle/Paddle/tree/develop/demo/mnist
+# 手写字符识别教程
+
+## 背景介绍
+当我们学习编程的时候，编写的第一个程序一般是实现打印"Hello World"。而就像编程语言有"Hello World"，机器学习则
+有MNIST数据库。MNIST数据库是手写字符，属于机器学习中典型的图像分类问题，而由于其问题简单，数据集完备，因此
+常常被作为机器学习入门的教程。
+
+
+该数据库的提供者Yann LeCun，他早起在手写字符识别上做了很多研究，在研究过程中
+提出了卷积神经网络，大幅度的提高了识别能力，也因此成为了深度学习领域的奠基人之一。如今的深度学习领域，卷积
+神经网络占据了至关重要的地位，从最早Yann LeCun提出的简单LeNet，到如今ImageNet大赛上的优胜模型VGGNet，GoogLeNet,
+虽然在网络结构上要复杂很多，但是其核心还是与LeNet类似，只不过在网络的组织上面有了更多的技巧，如GoogLeNet的
+Inception模块，以及深度学习为了防止过拟合，还会加入正则，BatchNorm等等方法。
+
+
+MNIST数据库作为一个简单的计算机视觉数据集，包含一系列如下的手写数字:
+
+
+图1. MNIST图片示例
+
+其同时包含每张图片的标签，标签告诉我们图像中包含的数字是什么。例如，上面的图片中对应的标签为[3, 4, 7, 0, 4, 1, 1, 4, 3, 1]
+本教程作为入门教程，希望给初学者讲述机器学习和PaddlePaddle的入门知识。在该教程中，我们会训练一个模型，该模型会扫描给定的图片，然后给出对应的标签。
+
+
+我们意图并不是展示一个对于此类问题的完美的模型，而是会首先给出一个简单的模型，然后逐步深入的优化模型，让初学者感受复杂的模型是如何带来效
+果上提升的。
+
+
+## 模型概览
+### Softmax回归(Softmax Regression)
+
+####问题说明：
+给予MNIST数据，我们希望训练一个分类器f，对于每张给定的图片数据x，预测结果为f(x)，应该尽可能准确的接近真实label。
+这是一个多分类问题，在神经网络中，多分类问题一般用softmax函数来作为输出，因此最简单的神经网络分类器就是一层输
+入数据层，加上一个输出softmax层，也就是softmax回归。
+
+####原理介绍：
+MNIST数据库的图片为28X28的二维图像，为了进行计算，我们一般将上将28X28的二维图像转化为n(n=784)维的向量，因此我们采用$x_i(i=0,1,2,...,n-1)$来表示输入的图片数据。同时，我们采用$y_i(i=0,1,2,..9)$来表示输出，其含义为：
+比如说，如果图片的数字标签为3，则$y_i$组成的向量为[0,0,0,1,0,0,0,0,0,0]。输入层的数据x传到softmax层，在激活操作之
+前，会乘以相应的权重w，并加上偏置变量b，具体如下：
+$$ net_i = \sum_j W_{i,j}x_j + b_i $$
+net是激活前的值（仅仅进行了矩阵乘法），然后再用softmax函数进行激活：
+其中softmax函数的定义如下：
+$$ softmax(x_i) = \frac{e^{x_i}}{\sum_j e^{x_j}} $$
+即:
+$$ y_i = \frac{e^{net_i}}{\sum_j e^{net_j}} $$
+神经网络的训练采用backpropagation的形式，其一般会定义一个损失函数（也称目标函数），训练的目的是为了减小目标函数的
+值。在分类问题中，我们一般采用交叉熵代价损失函数(cross entropy)。
+
+以下为softmax回归的网络图：
+
+
+图2. softmax回归网络结构图
+注：图中权重用黑线表示，偏置用红线表示，+1代表偏置参数的系数为1
+
+
+
+### 多层感知器(Multilayer Perceptron, MLP)
+#### 原理介绍：
+在softmax回归中，我们采用了最简单的两层神经网络，分别为输入的datalayer层和输出的softmax层，模型比较简单，意味着
+其拟合能力有限。因此，为了达到更好的识别效果，我们可以考虑在输入层和输出层中间加上若干个隐藏层。
+在该网络层中，我们有输入X($x_i(i=0,1,2,...,n-1)$)，输出标签Y($y_i(i=0,1,2,..9)$)，为了表示方便，以下我们都直接
+用向量计算来表示。经过第一层网络，我们可以得到：
+$$ H_1 = activation(W_1X + b_1) $$
+上面，activation代表激活函数，其常见的为sigmoid，tanh或ReLU等函数。
+经过第二层网络，可以得到：
+$$ H_2 = activation(W_2H_1 + b_2) $$
+最后，再经过输出层：
+$$ Y = softmax(W_3H_2 + b_3) $$
+得到的P即为最后的预测结果向量。
+
+
+图3. 多层感知器网络结构图
+注：图中权重用黑线表示，偏置用红线表示，+1代表偏置参数的系数为1
+
+
+#### 常见激活函数介绍
+- sigmoid激活函数：
+$$ f(x) = \frac{1}{1+e^{-x}} $$
+- tanh激活函数：
+$$ f(x) = tanh(x) = \frac{e^x-e^{-x}}{e^x+e^{-x}} $$
+实际上，tanh函数只是规模变化的sigmoid函数：
+$$ tanh(x) = 2sigmoid(2x) - 1 $$
+- ReLU激活函数：
+$$ f(x) = max(0, x) $$
+
+### 卷积神经网络(Convolutional Neural Network, CNN)
+#### 卷积层
+
+
+图4. 卷积层图片
+
+卷积层是卷积神经网络的核心基石。该层的参数由一组可学习的过滤器（也叫作卷积核）组成。在前向过程中，每个卷积核在
+输入层进行横向和纵向的扫描，与输入层对应扫描位置进行卷积，得到的结果加上偏置并用相应的激活函数进行激活,结果能够得到
+一个二维的activation map。每个特定的卷积核都能得到特定的activation map，如有的卷积核可能对识别边角，有的可能识别
+圆圈，那这些卷积核可能对于对应的特征响应要强。
+#### 池化层
+
+
+图5. 池化层图片
+
+卷积神经网络另外一个重要的概念就是池化层，这是非线性下采样的一种形式。有许多种非线性函数能够完成下采样的功能，
+而其中用的最多的就是最大采样。如上所示，其用特定大小不重叠的矩形框将输入层分成不同的区域，然后对于每一个矩形框
+内的数，取最大值来代表这个区域，从而得到输出层。池化层的主要作用是减少网络的参数，从而能够减小计算量，并且能够
+控制过拟合。通常情况下在卷积层的后面都会加上一个池化层。
+
+#### 网络结构LeNet
+
+
+图6. 卷积神经网络结构
+
+上面的网络是典型的LeNet结构，是卷积神经网络鼻祖Yann LeCun最早提出的模型。从图上我们可以看出，从输入的二维图像，
+经过两次卷积->采样，然后再经过全连接，最后的输出层是softmax分类层。
+
+
+## 数据准备
+
+### 数据下载
+
+我们首先下载 MNIST数据库,该数据库是手写字符识别常用的数据库。在 `demo/mnist` 目录中执行以下命令，进行下载：
+
+```bash
+./data/get_mnist_data.sh
+```
+
+### 数据说明
+1. 解压缩
+将下载下来的数据进行gzip解压，可以在文件夹 `demo/mnist/data/raw_data` 中找到以下文件：
+```
+t10k-images-idx3-ubyte 测试数据图片，10,000条数据
+t10k-labels-idx1-ubyte 测试数据标签，10,000条数据
+train-images-idx3-ubyte 训练数据图片，60,000条数据
+train-labels-idx1-ubyte 训练数据标签，60,000条数据
+ ```
+2. 数据格式
+MNIST的每条数据可以分为两部分：手写字符图片和对应的标签。图片是28X28的像素矩阵，而标签则对应着0~9的10个数字，我们随机选取训练集中的10张图片进行绘制，并给出选取图片对应的标签，绘制脚本为为 `./data/draw_data.py`。
+
+```python
+import numpy as np
+import matplotlib.pyplot as plt
+import random
+
+
+def read_data(path, filename):
+ imgf = path + filename + "-images-idx3-ubyte"
+ labelf = path + filename + "-labels-idx1-ubyte"
+ f = open(imgf, "rb")
+ l = open(labelf, "rb")
+
+ f.read(16)
+ l.read(8)
+
+ # Define number of samples for train/test
+ n = 60000 if "train" in filename else 10000
+
+ rows = 28
+ cols = 28
+
+ images = np.fromfile(
+ f, 'ubyte',
+ count=n * rows * cols).reshape(n, rows, cols).astype('float32')
+ labels = np.fromfile(l, 'ubyte', count=n).astype("int")
+
+ return images, labels
+
+
+if __name__ == "__main__":
+ train_images, train_labels = read_data("./raw_data/", "train")
+ test_images, test_labels = read_data("./raw_data/", "t10k")
+ label_list = []
+ for i in range(10):
+ index = random.randint(0, train_images.shape[0] - 1)
+ label_list.append(train_labels[index])
+ plt.subplot(1, 10, i + 1)
+ plt.imshow(train_images[index], cmap="Greys_r")
+ plt.axis('off')
+ print('label: %s' % (label_list, ))
+ plt.show()
+```
+
+
+
+
+
+```python
+label: [3, 4, 7, 0, 4, 1, 1, 4, 3, 1]
+```
+
+## 模型配置说明
+
+在 `./src/mnist_provider.py` 中，我们将数据用PyDataProvider2进行封装，然后在网络配置文件中进行datasource的配置：
+
+```python
+define_py_data_sources2(
+ train_list=data_dir + 'train.list',
+ test_list=data_dir + 'test.list',
+ module='mnist_provider',
+ obj='process')
+```
+以上封装完成了神经网络的数据层(data_layer)的工作，这样就可以通过调用数据层data_layer的方式来获取数据：
+
+```python
+# 此处 1 * 28 * 28，1代表1个channel，在图片处理中，彩色图片一般具有
+# RGB 3个channel，而MNIST数据只有1个channel，每个channel为28*28的像素矩阵。
+data_size = 1 * 28 * 28
+label_size = 10
+img = data_layer(name='pixel', size=data_size) # 获取图片
+label = data_layer(name='label', size=label_size) # 获取标签
+```
+
+
+
+###数据提供
+首先是用PaddlePaddle的PyDataProvider2来为模型导入数据，如 `src/mnist_provider.py` 中所示：
+
+```python
+# Define a py data provider
+@provider(
+ input_types={'pixel': dense_vector(28 * 28),
+ 'label': integer_value(10)},
+ cache=CacheType.CACHE_PASS_IN_MEM)
+def process(settings, filename): # settings is not used currently.
+ # following code not shown here
+```
+在上面代码中，process函数读取MNIST数据，然后用yield函数返回数据的生成器，然后用@provider对返回的数据进行包装
+(具体的过程见 `PaddlePaddle_root_path/python/paddle/trainer/PyDataProvider2.py`，从而方便以PaddlePaddle DataProvider对象的形式进行调用。
+
+### 配置
+以下为如何用PaddlePaddle实现Softmax回归模型：
+然后，进行网络的配置，如 `src/softmax_mnist.py` 中所示：
+
+```python
+####################Data Configuration ##################
+
+ if not is_predict:
+ data_dir = './data/'
+ define_py_data_sources2(
+ train_list=data_dir + 'train.list',
+ test_list=data_dir + 'test.list',
+ module='mnist_provider',
+ obj='process')
+```
+- 首先配置数据，如上给出在训练过程中，训练(train_list)和测试数据集(test_list)的位置，
+指定数据提供模块(module)函数，目标函数(obj)代表在module中提供数据的函数。
+
+```python
+######################Algorithm Configuration #############
+settings(
+ batch_size=128,
+ learning_rate=0.1 / 128.0,
+ learning_method=MomentumOptimizer(0.9),
+ regularization=L2Regularization(0.0005 * 128))
+```
+- 然后指定训练相关的参数，batch大小(batch_size)表示神经网络每次训练使用的数据为128条，训练速度(learning_rate)是迭代
+的速度，影响着网络的训练收敛速度有关系，训练方法(learning_method)代表训练过程在更新权重时采用动量优化器
+(MomentumOptimizer)，其中参数0.9代表动量优化每次保持前一次速度的0.9倍，正则化(regularization)是防止网络过拟合的一
+种手段，此处采用L2正则化。
+
+### 网络结构
+#### Softmax回归
+
+```python
+#######################Network Configuration #############
+
+data_size = 1 * 28 * 28
+label_size = 10
+img = data_layer(name='pixel', size=data_size)
+
+# softmax regression is used
+predict = fc_layer(input=img, size=10, act=SoftmaxActivation())
+```
+- 最后就是指定网络的结构，定义好dataprovider之后，就可以通过data_layer调用来获取数据img，然后通过一层简单的softmax
+全连接层，得到预测的结果，然后指定训练的损失函数为分类损失(classification_cost)，一般分类问题的损失函数为交叉熵
+损失函数(cross_entropy)。
+通过控制变量is_predict，该配置脚本也可以在预测时候使用，将is_predict置为True，则最后直接输出预测结果，而不会经过
+损失函数来进行训练过程。
+
+#### 多层感知器
+
+```python
+#######################Network Configuration #############
+
+# The first fully-connected layer
+hidden1 = fc_layer(input=img, size=128, act=ReluActivation())
+# The second fully-connected layer and the according activation function
+hidden2 = fc_layer(input=hidden1, size=64, act=ReluActivation())
+# The thrid fully-connected layer, note that the hidden size should be 10,
+# which is the number of unique digits
+predict = fc_layer(input=hidden2, size=10, act=SoftmaxActivation())
+```
+以上是一个简单的带有两个隐藏层的多层感知器，也就是全连接网络，两个隐藏层的激活函数均采用ReLU函数，最后的输出层用
+softmax激活函数。
+
+#### 卷积神经网络
+
+```python
+#######################Network Configuration #############
+
+# first conv layer
+conv_pool_1 = simple_img_conv_pool(
+ input=img,
+ filter_size=5,
+ num_filters=20,
+ num_channel=1,
+ pool_size=2,
+ pool_stride=2,
+ act=TanhActivation())
+# second conv layer
+conv_pool_2 = simple_img_conv_pool(
+ input=conv_pool_1,
+ filter_size=5,
+ num_filters=50,
+ num_channel=20,
+ pool_size=2,
+ pool_stride=2,
+ act=TanhActivation())
+# The first fully-connected layer
+fc1 = fc_layer(input=conv_pool_2, size=128, act=TanhActivation())
+# The softmax layer, note that the hidden size should be 10,
+# which is the number of unique digits
+predict = fc_layer(input=fc1, size=10, act=SoftmaxActivation())
+```
+
+
+```python
+if not is_predict:
+ lbl = data_layer(name="label", size=label_size)
+ inputs(img, lbl)
+ outputs(classification_cost(input=predict, label=lbl))
+else:
+ outputs(predict)
+```
+
+###训练过程
+最后，就可以通过配置训练脚本 `./src/train.sh` 来执行训练过程：
+
+```bash
+config=softmax_mnist.py
+output=./softmax_mnist_model
+log=softmax_train.log
+
+paddle train \
+--config=$config \
+--dot_period=10 \
+--log_period=100 \
+--test_all_data_in_one_period=1 \
+--use_gpu=0 \
+--trainer_count=1 \
+--num_passes=100 \
+--save_dir=$output \
+2>&1 | tee $log
+
+python -m paddle.utils.plotcurve -i $log > plot.png
+```
+参数意义分别为：
+- config: 网络配置的脚本
+- dot_period: 在每训练 `dot_period` 个批次后打印一个 `.`
+- log_period: 每隔多少batch打印一次日志
+- test_all_data_in_one_period: 每次测试是否用所有的数据
+- use_gpu: 是否使用GPU
+- trainer_count: 使用CPU或GPU的个数
+- num_passed: 训练进行的轮数（每次训练使用完所有数据为1轮）
+- save_dir: 模型存储的位置
+配置好参数之后，执行脚本 `./src/train.sh` 训练日志如下所示：
+
+## 训练模型
+### Softmax回归(Softmax Regression)
+####训练过程
+
+```
+I1218 18:12:41.720213 2464 Util.cpp:154] commandline: /usr/local/bin/../opt/paddle/bin/paddle_trainer --config=mlp_mnist.py --dot_period=10 --log_period=100 -- test_all_data_in_one_period=1 --use_gpu=0 --trainer_count=1 --num_passes=100 --save_dir=./mlp_mnist_model
+......
+```
+
+#### 训练误差图
+用脚本 `./src/plot_error.py` 可以画出训练过程中的误差变化曲线：
+```bash
+python src/plot_error.py softmax_train.log
+```
+```python
+import matplotlib.pyplot as plt
+import re
+import sys
+
+def plot_log(filename):
+ with open(filename, 'r') as f:
+ text = f.read()
+ pattern = re.compile(
+ 'Test.*? cost=([0-9]+\.[0-9]+).*?pass-([0-9]+)',
+ re.S)
+ results = re.findall(pattern, text)
+ cost, pass_ = zip(*results)
+ cost_float = map(float, cost)
+ pass_int = map(int, pass_)
+ plt.plot(pass_int, cost_float, 'bo', pass_, cost_float, 'k')
+ plt.ylabel('AvgCost')
+ plt.xlabel('epoch')
+ plt.show()
+
+
+if __name__ == '__main__':
+ plot_log('softmax_train.log')
+```
+
+
+图8. softmax回归训练误差图
+
+
+#### 评估过程
+用脚本 `./src/evaluate.py ` 可以选出最好的Pass训练出来的模型，可以执行以下命令：
+```bash
+./src/evaluate.py mlp_train.log
+```
+得到的结果类似如下：
+```text
+Best pass is 00047, error is 0.473053, which means predict get error as 0.343894
+The classification accuracy is 89.49%
+```
+
+从上面过程中可以看到，模型分类效果最好的时候是pass-00047，分类准确率为89.49%，而最终的pass-00099的准确率为85.39%。
+从图中也可以看出，准确率最好的时候并以不定是最后一个pass的模型。
+
+#### 预测过程
+用脚本 `./src/predict.py` 用训练好的模型进行预测
+```bash
+./src/predict.py -c softmax_mnist.py -d ../data/raw_data/ -m softmax_mnist_model/pass-00047
+```
+- -c 指定模型的结构
+- -d 指定需要预测的数据源，这里用测试数据集进行预测
+- -m 指定模型的参数，这里用之前训练效果最好的模型进行预测
+```python
+import os
+import sys
+from docopt import docopt
+import numpy as np
+
+from py_paddle import swig_paddle, DataProviderConverter
+from paddle.trainer.PyDataProvider2 import dense_vector
+from paddle.trainer.config_parser import parse_config
+
+from load_data import read_data
+
+class Prediction():
+ def __init__(self, train_conf, data_dir, model_dir):
+
+ conf = parse_config(
+ train_conf,
+ 'is_predict=1')
+ self.network = swig_paddle.GradientMachine.createFromConfigProto(
+ conf.model_config)
+ self.network.loadParameters(model_dir)
+
+ self.images, self.labels = read_data("./data/raw_data/", "train")
+
+ slots = [ dense_vector( 28 * 28 ) ]
+ self.converter = DataProviderConverter(slots)
+
+ def predict(self, index):
+ input = self.converter([[self.images[index].flatten().tolist() ]])
+ output = self.network.forwardTest(input)
+ prob = output[0]["value"]
+ predict = np.argsort(-prob)
+ print prob
+ print predict[0][0], self.labels[index]
+
+train_conf = 'softmax_mnist.py'
+data_dir = '../data/raw_data/'
+model_dir = 'softmax_mnist_model/pass-00047'
+predictor = Prediction(train_conf, data_dir, model_dir)
+while True:
+ index = int(raw_input("Input image_id [0~9999]: "))
+ predictor.predict(index)
+```
+根据提示，输入需要预测的图片的序号，则分类器能够给出预测的结果和实际的标签。
+```
+Input image_id [0~9999]: 3
+[[ 1.00000000e+00 1.60381094e-28 1.60381094e-28 1.60381094e-28
+ 1.60381094e-28 1.60381094e-28 1.60381094e-28 1.60381094e-28
+ 1.60381094e-28 1.60381094e-28]]
+0 0
+```
+上面，给出的向量是神经网络输出的十维向量，可以理解为分类为各个数字的概率，实际预测的类即为向量中
+值最大的一项。如上，代表该分类器接近100%的认为该图片上面的数字为0，而实际标签给出的类也确实如此。
+
+### 多层感知器(Multilayer Perceptron, MLP)
+####训练过程
+将配置脚本 `./src/train.sh` 一下部分进行修改：
+```bash
+config=mlp_mnist.py
+output=./mlp_mnist_model
+log=mlp_train.log
+```
+执行脚本即可进行训练
+```bash
+./train.sh
+```
+训练日志如下：
+```
+I1218 19:10:05.007380 3123 Util.cpp:154] commandline: /usr/local/bin/../opt/paddle/bin/paddle_trainer --config=mlp_mnist.py --dot_period=10 --log_period=100 -- test_all_data_in_one_period=1 --use_gpu=0 --trainer_count=1 --num_passes=100 --save_dir=./mlp_mnist_model
+......
+```
+#### 评估过程
+用脚本 `./src/evaluate.py ` 可以选出最好的Pass训练出来的模型，可以执行以下命令：
+```bash
+./src/evaluate.py mlp_train.log
+```
+得到的结果类似如下：
+```text
+Best pass is 00085, error is 0.164746, which means predict get error as 0.202945
+The classification accuracy is 94.95%
+```
+
+#### 训练误差图
+用脚本 `./src/plot_error.py` 可以画出训练过程中的误差变化曲线：
+```bash
+python src/plot_error.py mlp_train.log
+```
+
+
+图9. 多层感知器训练误差图
+
+
+从训练日志中我们可以看出，最终训练的准确率为94.95%。这是多层网络分类分类效果，可以
+看到其相对于softmax回归来说有了显著的分类效果的提升。但是，这还不是最好的分类效果，后面，我们可以看到卷积神经
+网络对于图像分类能够达到更为惊人的准确率。
+
+#### 预测过程
+用脚本 `./src/predict.py` 用训练好的模型进行预测
+```bash
+./src/predict.py -c mlp_mnist.py -d ./data/raw_data/ -m ./mlp_mnist_model/pass-00085
+```
+
+
+### 卷积神经网络(Convolutional Neural Network, CNN)
+####训练过程
+将配置脚本 `./src/train.sh` 一下部分进行修改：
+```bash
+config=cnn_mnist.py
+output=./cnn_mnist_model
+log=cnn_train.log
+```
+执行脚本即可进行训练
+```bash
+./train.sh
+```
+
+训练日志如下：
+```
+I1219 10:18:34.637485 4931 Util.cpp:154] commandline: /usr/local/bin/../opt/paddle/bin/paddle_trainer --config=cnn_mnist.py --dot_period=10 --log_period=100 -- test_all_data_in_one_period=1 --use_gpu=0 --trainer_count=1 --num_passes=100 --save_dir=./cnn_mnist_model
+......
+```
+#### 评估过程
+用脚本 `./src/evaluate.py ` 可以选出最好的Pass训练出来的模型，可以执行以下命令：
+```bash
+./src/evaluate.py cnn_train.log
+```
+得到的结果类似如下：
+```text
+Best pass is 00003, error is 0.0305203, which means predict get error as 0.087350
+The classification accuracy is 99.01%
+```
+
+从训练日志中我们可以看出，最终训练的准确率为99.01%。由此可以看到，对于图像问题而言，卷积神经网络能够
+比一般全连接网络达到更好的识别效果，而这与卷积层的性质是分不开的。同时，我们可以看到，卷积神经网络在
+pass-0003的时候就能达到好的效果，说明其训练收敛的速度很快。
+
+#### 预测过程
+用脚本 `./src/predict.py` 用训练好的模型进行预测
+```bash
+./src/predict.py -c cnn_mnist.py -d ./data/raw_data/ -m ./cnn_mnist_model/pass-00003
+```
+
+## 总结
+从上面的过程中，我们了解到了机器学习的基本知识，softmax回归、多层感知器和卷积神经网络都是最基础的机器学习模型，而复杂的神经网络
+都是从这些衍生出来的，因此了解了这些基本的东西之后，对于我们之后的学习大有裨益。在这过程中，我们也观察到当我们将模型从简单的
+Softmax回归到稍微复杂的卷积神经网络的时候，识别准确率有了大幅度的提升，而这与卷积层的加入是密切联系的，这启发我们在之后遇到新的
+模型的时候，要认识到新模型相对于其他模型来说效果提升的关键之处。此外，在体验用PaddlePaddle搭建模型识别MNIS图片的同时
+我们了解了PaddlePaddle模型搭建的过程，从dataprovider的编写，到网络层的构建，到最后的训练和预测，是用PaddlePaddle实现自定义模型的一个
+基本流程。对这个流程熟悉以后，我们可以用自己的数据，定义自己的网络模型，来完成自己的训练和预测任务。
+## 参考文献
+1. LeCun, Yann, et al. "Gradient-based learning applied to document recognition." Proceedings of the IEEE 86.11 (1998): 2278-2324.
diff --git a/recognize_digits/data/get_mnist_data.sh b/recognize_digits/data/get_mnist_data.sh
new file mode 100755
index 0000000..5a71d4f
--- /dev/null
+++ b/recognize_digits/data/get_mnist_data.sh
@@ -0,0 +1,35 @@
+#!/usr/bin/env sh
+# Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserved
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# This scripts downloads the mnist data and unzips it.
+set -e
+DIR="$( cd "$(dirname "$0")" ; pwd -P )"
+rm -rf "$DIR/raw_data"
+mkdir "$DIR/raw_data"
+cd "$DIR/raw_data"
+
+echo "Downloading..."
+
+for fname in train-images-idx3-ubyte train-labels-idx1-ubyte t10k-images-idx3-ubyte t10k-labels-idx1-ubyte
+do
+ if [ ! -e $fname ]; then
+ wget --no-check-certificate http://yann.lecun.com/exdb/mnist/${fname}.gz
+ gunzip ${fname}.gz
+ fi
+done
+
+cd $DIR
+rm -f *.list
+echo "./data/raw_data/train\n" > "$DIR/train.list"
+echo "./data/raw_data/t10k\n" > "$DIR/test.list"
diff --git a/recognize_digits/image/Conv_layer.png b/recognize_digits/image/Conv_layer.png
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