From aa717b2925b05b5a475d804735f853d29e7356c5 Mon Sep 17 00:00:00 2001 From: lvmengsi Date: Tue, 28 May 2019 19:29:51 +0800 Subject: [PATCH] Update description for book/01 (#724) * update description and formula type for book/01 --- 01.fit_a_line/README.cn.md | 29 +++++++++++++++---- 01.fit_a_line/image/formula_fit_a_line_1.png | Bin 0 -> 30491 bytes 01.fit_a_line/image/formula_fit_a_line_2.png | Bin 0 -> 23407 bytes 01.fit_a_line/image/formula_fit_a_line_3.png | Bin 0 -> 38177 bytes 01.fit_a_line/image/formula_fit_a_line_4.png | Bin 0 -> 28462 bytes 01.fit_a_line/index.cn.html | 29 +++++++++++++++---- 6 files changed, 46 insertions(+), 12 deletions(-) create mode 100644 01.fit_a_line/image/formula_fit_a_line_1.png create mode 100644 01.fit_a_line/image/formula_fit_a_line_2.png create mode 100644 01.fit_a_line/image/formula_fit_a_line_3.png create mode 100644 01.fit_a_line/image/formula_fit_a_line_4.png diff --git a/01.fit_a_line/README.cn.md b/01.fit_a_line/README.cn.md index e5a884f..12c52ba 100644 --- a/01.fit_a_line/README.cn.md +++ b/01.fit_a_line/README.cn.md @@ -3,10 +3,21 @@ 本教程源代码目录在[book/fit_a_line](https://github.com/PaddlePaddle/book/tree/develop/01.fit_a_line), 初次使用请您参考[Book文档使用说明](https://github.com/PaddlePaddle/book/blob/develop/README.cn.md#运行这本书)。 +### 说明:### +1.硬件环境要求: +本文可支持在CPU、GPU下运行 +2. Docker镜像支持的CUDA/cuDNN版本: +如果使用了Docker运行Book,请注意:这里所提供的默认镜像的GPU环境为 CUDA 8/cuDNN 5,对于NVIDIA Tesla V100等要求CUDA 9的 GPU,使用该镜像可能会运行失败。 +3. 文档和脚本中代码的一致性问题: +请注意:为使本文更加易读易用,我们拆分、调整了train.py的代码并放入本文。本文中代码与train.py的运行结果一致,可直接运行[train.py](https://github.com/PaddlePaddle/book/blob/develop/01.fit_a_line/train.py)进行验证。 + ## 背景介绍 给定一个大小为$n$的数据集 ${\{y_{i}, x_{i1}, ..., x_{id}\}}_{i=1}^{n}$,其中$x_{i1}, \ldots, x_{id}$是第$i$个样本$d$个属性上的取值,$y_i$是该样本待预测的目标。线性回归模型假设目标$y_i$可以被属性间的线性组合描述,即 -$$y_i = \omega_1x_{i1} + \omega_2x_{i2} + \ldots + \omega_dx_{id} + b, i=1,\ldots,n$$ + +

+
+

例如,在我们将要建模的房价预测问题里,$x_{ij}$是描述房子$i$的各种属性(比如房间的个数、周围学校和医院的个数、交通状况等),而 $y_i$是房屋的价格。 @@ -25,7 +36,9 @@ $$y_i = \omega_1x_{i1} + \omega_2x_{i2} + \ldots + \omega_dx_{id} + b, i=1,\ldo 在波士顿房价数据集中,和房屋相关的值共有14个:前13个用来描述房屋相关的各种信息,即模型中的 $x_i$;最后一个值为我们要预测的该类房屋价格的中位数,即模型中的 $y_i$。因此,我们的模型就可以表示成: -$$\hat{Y} = \omega_1X_{1} + \omega_2X_{2} + \ldots + \omega_{13}X_{13} + b$$ +

+
+

$\hat{Y}$ 表示模型的预测结果,用来和真实值$Y$区分。模型要学习的参数即:$\omega_1, \ldots, \omega_{13}, b$。 @@ -33,13 +46,17 @@ $\hat{Y}$ 表示模型的预测结果,用来和真实值$Y$区分。模型要 对于线性回归模型来讲,最常见的损失函数就是均方误差(Mean Squared Error, [MSE](https://en.wikipedia.org/wiki/Mean_squared_error))了,它的形式是: -$$MSE=\frac{1}{n}\sum_{i=1}^{n}{(\hat{Y_i}-Y_i)}^2$$ +

+
+

即对于一个大小为$n$的测试集,$MSE$是$n$个数据预测结果误差平方的均值。 对损失函数进行优化所采用的方法一般为梯度下降法。梯度下降法是一种一阶最优化算法。如果$f(x)$在点$x_n$有定义且可微,则认为$f(x)$在点$x_n$沿着梯度的负方向$-▽f(x_n)$下降的是最快的。反复调节$x$,使得$f(x)$接近最小值或者极小值,调节的方式为: -$$x_n+1=x_n-λ▽f(x), n≧0$$ +

+
+

其中λ代表学习率。这种调节的方法称为梯度下降法。 @@ -355,7 +372,7 @@ with fluid.scope_guard(inference_scope): save_result(results[0], infer_label) # 保存图片 ``` - +由于每次都是随机选择一个minibatch的数据作为当前迭代的训练数据,所以每次得到的预测结果会有所不同。 ## 总结 @@ -369,4 +386,4 @@ with fluid.scope_guard(inference_scope): 4. Bishop C M. Pattern recognition[J]. Machine Learning, 2006, 128.
-知识共享许可协议
本教程PaddlePaddle 创作,采用 知识共享 署名-相同方式共享 4.0 国际 许可协议进行许可。 +知识共享许可协议
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diff --git a/01.fit_a_line/index.cn.html b/01.fit_a_line/index.cn.html index 61c970c..6e6ea06 100644 --- a/01.fit_a_line/index.cn.html +++ b/01.fit_a_line/index.cn.html @@ -45,10 +45,21 @@ 本教程源代码目录在[book/fit_a_line](https://github.com/PaddlePaddle/book/tree/develop/01.fit_a_line), 初次使用请您参考[Book文档使用说明](https://github.com/PaddlePaddle/book/blob/develop/README.cn.md#运行这本书)。 +### 说明:### +1.硬件环境要求: +本文可支持在CPU、GPU下运行 +2. Docker镜像支持的CUDA/cuDNN版本: +如果使用了Docker运行Book,请注意:这里所提供的默认镜像的GPU环境为 CUDA 8/cuDNN 5,对于NVIDIA Tesla V100等要求CUDA 9的 GPU,使用该镜像可能会运行失败。 +3. 文档和脚本中代码的一致性问题: +请注意:为使本文更加易读易用,我们拆分、调整了train.py的代码并放入本文。本文中代码与train.py的运行结果一致,可直接运行[train.py](https://github.com/PaddlePaddle/book/blob/develop/01.fit_a_line/train.py)进行验证。 + ## 背景介绍 给定一个大小为$n$的数据集 ${\{y_{i}, x_{i1}, ..., x_{id}\}}_{i=1}^{n}$,其中$x_{i1}, \ldots, x_{id}$是第$i$个样本$d$个属性上的取值,$y_i$是该样本待预测的目标。线性回归模型假设目标$y_i$可以被属性间的线性组合描述,即 -$$y_i = \omega_1x_{i1} + \omega_2x_{i2} + \ldots + \omega_dx_{id} + b, i=1,\ldots,n$$ + +

+
+

例如,在我们将要建模的房价预测问题里,$x_{ij}$是描述房子$i$的各种属性(比如房间的个数、周围学校和医院的个数、交通状况等),而 $y_i$是房屋的价格。 @@ -67,7 +78,9 @@ $$y_i = \omega_1x_{i1} + \omega_2x_{i2} + \ldots + \omega_dx_{id} + b, i=1,\ldo 在波士顿房价数据集中,和房屋相关的值共有14个:前13个用来描述房屋相关的各种信息,即模型中的 $x_i$;最后一个值为我们要预测的该类房屋价格的中位数,即模型中的 $y_i$。因此,我们的模型就可以表示成: -$$\hat{Y} = \omega_1X_{1} + \omega_2X_{2} + \ldots + \omega_{13}X_{13} + b$$ +

+
+

$\hat{Y}$ 表示模型的预测结果,用来和真实值$Y$区分。模型要学习的参数即:$\omega_1, \ldots, \omega_{13}, b$。 @@ -75,13 +88,17 @@ $\hat{Y}$ 表示模型的预测结果,用来和真实值$Y$区分。模型要 对于线性回归模型来讲,最常见的损失函数就是均方误差(Mean Squared Error, [MSE](https://en.wikipedia.org/wiki/Mean_squared_error))了,它的形式是: -$$MSE=\frac{1}{n}\sum_{i=1}^{n}{(\hat{Y_i}-Y_i)}^2$$ +

+
+

即对于一个大小为$n$的测试集,$MSE$是$n$个数据预测结果误差平方的均值。 对损失函数进行优化所采用的方法一般为梯度下降法。梯度下降法是一种一阶最优化算法。如果$f(x)$在点$x_n$有定义且可微,则认为$f(x)$在点$x_n$沿着梯度的负方向$-▽f(x_n)$下降的是最快的。反复调节$x$,使得$f(x)$接近最小值或者极小值,调节的方式为: -$$x_n+1=x_n-λ▽f(x), n≧0$$ +

+
+

其中λ代表学习率。这种调节的方法称为梯度下降法。 @@ -397,7 +414,7 @@ with fluid.scope_guard(inference_scope): save_result(results[0], infer_label) # 保存图片 ``` - +由于每次都是随机选择一个minibatch的数据作为当前迭代的训练数据,所以每次得到的预测结果会有所不同。 ## 总结 @@ -411,7 +428,7 @@ with fluid.scope_guard(inference_scope): 4. Bishop C M. Pattern recognition[J]. Machine Learning, 2006, 128.
-知识共享许可协议
本教程PaddlePaddle 创作,采用 知识共享 署名-相同方式共享 4.0 国际 许可协议进行许可。 +知识共享许可协议
本教程PaddlePaddle 创作,采用 知识共享 署名-相同方式共享 4.0 国际 许可协议进行许可。 -- GitLab