前言

近年来,Machine Learning 在许多领域上已然取得了可喜的成就,非常火热。就我个人来讲,有意将业余 Sport Programming 的范围扩展一下,譬如 Topcoder Marathon。在解决实际问题中,方法太 Naive 往往效果不怎么样,依旧需要学习一下相关的基础知识。
本系列文章主要基于 Coursera 的 Machine Learning,我社内部 Machine Learning 课里能说的一部分,wikipedia,以及一些其他的读物。

一些概念

机器学习的定义

对于某类任务T和性能度量P,如果一个计算机程序在T上以P衡量的性能随着经验E而自我完善,那么我们称这个计算机程序从经验E中学习。
这是一个比较严谨的界定机器学习问题的 Guideline。如果有什么问题搞不清楚是不是这个范畴,可以尝试套用定义来检查:任务是什么,性能度量是什么,经验是什么,性能是否由于经验而提升。

一些机器学习应用

  • 手写识别,Optical character recognition
  • 文本分类,识别垃圾邮件,工口反动内容等
  • 语音识别,机器翻译等
  • 图像识别,人脸识别
  • 识别钓鱼网站
  • 机器人,无人机等

一些机器学习问题

  • 分类(Classification):给每组输入打一个 tag,譬如手写识别,实际上相当于对一个图像进行分类
  • 回归(Regression):对每组输入,预测一个实数值,譬如预测股市行情
  • Ranking:将输入排序,譬如对搜索引擎的搜索结果,推荐系统等
  • 聚类(Clustering):将输入数据分成若干类
  • 降维(Dimensionality reduction):寻找输入数据的低维表示

一些定义

  • 样例(Example):某个实体
  • Features:实体的属性集合,通常用向量来表示
  • Label:对于分类问题,就是样例属于哪一类;对于回归问题,就是实数值
  • 训练集(Training Data):用来训练模型
  • Validation set:往往用来调整学习的参数
  • 测试集(Test Data):用来评估模型的表现
  • 监督学习:从给定的训练数据集中学习出一个函数,当新的数据到来时,可以根据这个函数预测结果
  • 非监督学习:训练集没有人为标注的结果
  • 区别:训练数据有没有标注

机器学习三要素:模型,策略,算法

  • 模型:就是所要学习条件概率分布或决策函数
  • 策略:按照什么样的准则来学习或者挑选模型
  • 算法:学习模型的具体计算方法,即用什么样的方法来求得最优解

个人理解,模型代表着你如何看待这个问题。譬如识别一个东西是不是汽车,如果你认为识别的依据是:金属壳 + 车灯 + 反光镜 + 车轮子 … = 汽车,这个思路就比较接近基于规则,决策树,贝叶斯;如果你考虑这个东西和见过的什么东西比较相似,就是 KNN 的思路。之后我们要不断学习的实际上都是模型。

常见的两个策略是经验风险最小化和结构风险最小化。经验风险最小化意味着我们倾向于对训练数据取得精准的预测。这个想法很直接,且有一定道理:模型在训练数据上表现不佳,更无法指望在测试数据上取得好结果。但是,在训练集上表现好的模型,未必在测试集上表现好。通常来讲,简单的模型会更有通用性,而复杂的模型,往往会有一些 hardcode 了训练数据的感觉,效果反而不一定好。结构风险最小化在经验风险最小化的情况下,加入一些因子来限制模型的复杂度。

根据策略,可以列出一个需要最优化的式子。算法就是求这个式子最优或者较优解的方法。最常见的方法是梯度下降,其他技能还没有 get,就暂不讨论了。

梯度下降法(Gradient Descent)

暂时忘记机器学习,现在需要优化一个形如 \( y = f(\theta) \) 的式子,求 \( x = argmax f(\theta) \) 或 \( x = argmin f(\theta) \),有什么好的办法么?
梯度下降法,基于这样的观察:如果实值函数\( F(x) \)在点 a 处可微且有定义,那么函数 \( F(x) \)在 a 点沿着梯度相反的方向 \( -F\nabla(a) \) 下降最快。因此,如果 \( b = a - \gamma\nabla F(a) \) 对于 \( \gamma > 0 \) 且为一个够小数时成立,那么 \( F(a) \geq F(b) \)。换句话说,我们给出一个对极值的估计 a,不断迭代求 \( a = a - \gamma\nabla F(a) \) ,就能取得一个极值。

用一个实际例子来演示一下:对二次函数 \( f(y) = x^{2} + 2x + 10 \) ,使用梯度下降法求 \( min f(x) \) 和 \( argmin f(x) \),函数图像如下:

结论无论是从图像还是初中数学的角度来看都很简单。我们看看梯度下降算法是如何进行的:

f <- function(x) {
x^2 + 2 * x + 10
}
df <- function(x) {
2 * x + 2
} x <- 5
y <- f(x)
learning.rate <- 0.3
plot(f, -5, 5) while (TRUE) {
nx = x - df(x) * learning.rate
ny = f(nx)
if (abs(x - nx) < 0.01)
break
arrows(x, y, nx, ny, col = "red")
x = nx
y = ny
print(c(x, ny))
}

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v8tYBXajjtc8BDwFtNCaWPsAUvSarHeGDPGs/ZE/hZE7KoD7bgJUk1SbAa8HIBz9Zw2uzE2vMPNyeVerMFL0mq1TjgoBrP+S/cNa6lLPCSpKolGAN8UMATNZw2FNic2pay1SDZRS9JqsUE4PAaz9kEuBb4sPFx1B9b8JKkqiRYEhhdwAM1nvpfwC5NiKQB2IKXJFVrPHBYjecsD7wO/LPxcTQQC7wkaboSLAh8ooA/1HjqHsAJTYik6bDAS5KqMQ44qsZzZgWWBe5ufBxNjwVekjSgBHMDYwq4vsZTdwTObEIkVcFBdpKk6dkXOL7Gcwpga+BLjY+jatiClyT1K8FsxLrzl9d46obE9fp3G51J1bEFL0kayB7ALwpINZ63N7BPE/KoShZ4SVKfEowiFqmpdQW6ZYD3gacbHkpVK2sX/UhgRO4QktTlxgJnFjC5xvP2AY5tQh7VoEwFfh3gGuAN4B3gPWAicDqwWMZcktR1EgwHtgXOqPHUOYDPALc0OpNqU5YCPwY4D7gQWIFowY8GVgceA67DFr0ktdIOwAUFfFDjebsApzUhj9rUeOAnA9x/CbDqIH/G0cC5g3wMSep4CYYmuLNyDb4WQ4mR8zbIpjkVWCLHDy5LC/4pYG36fjItAHwaeLaVgSSpi20JXFXE5dJabAr8HpjU+EiqVVlG0V8CbEwU8buBV4hPggsBKwE/AF7Mlk6SukSKBWr2BDar4/RvAbs3NpHqVZYCP5m4brME0RU/P7Fv8BXE0oivV/k48xLX8/vyiUFmlKRusDFwZwFv1njeisCr2NtaGmUp8FM9UfmaagQxl7JanwBW7ue+eaj9CStJ3eY7wDZ1nLcf8PMGZ1GHGAvcREzJmJuYMjcZeI74RDlYDrKTpAEk+EKCY+o4dX7gd43O0yG6fpDdGsChwAVEC/4B4GFgTqLr/lRglmzpJKk7jAOOrOO8PYATG5xFg1SWAr8WsaDNicD/EAPsTiAWvfk9cD+wfLZ0ktThEqwGvFREr2ktRgJfpPbNaNRkZSnwbxAj5qfamWmj5gtgQeDlFmeSpG4yDjisjvO2B84BpjQ2jgarLAX+PKKb/g5gaeL6+7vESnZXE0vWPpktnSR1sBSzj94vPjrIuRoFsCPwq8an0mCVZRT968QTbEPgrR63jySuy59H7VsVSpKqMwE4vI7z1idWrnu7sXHUCGUp8AD/Bi7qddsNOYJIUrdIsCQwcwF/qeP0PYmufZVQWbroJUl5jKe+1vtyxFK2TzU0jRrGAi9JXSrFAOaFi+hmr9X+1DelTi1igZek7jUOOKqO8+YnPhzU062vFrHAS1IXSrFi6JiivrFO+wDHNziSGswCL0ndaV/guDrOmxlYh5jCrBKzwEtSl0kwG7AusWNnrXYl9gxx6nLJlWmanCSpNfYETixqL9IzANsRHw5UchZ4SeoiCUYBG1Ffkd6M2B9kUiMzqTks8JLUXXYDzixiO+5a7Qt8rcF51CQWeEnqEgmGA1sDX6jj9PWAB4HXGhpKTWOBl6TusQNwQQEf1HHu/kQLXm3CAi9JXSDBUKJ7foM6Tl+R2C/kHw0NpaaqdprcKGBEM4NIkppqS+DKItaPr9X+1LdevTLqr8APA7YFLgFerXy9BTwHnEVcvylaEVCSNDgp3q/3or7V5xYhVr17oKGh1HR9Ffip+/uuQqxy9BlgJqIVvy6xN/tYYnnDT7UkpSRpMDYGbi/gzTrO3Q84usF5lMlGwCxVHLcgsGaTszTS0cC5uUNIUqsluCHBnHWcOitwO/bYDsapwBI5fnBfLfiriU95SwKL9rqvALap/P/zxB9eklRSKS6pPljEpdZa7QWchMvStqWBBtnNCNwC7EgU9nmAC4ADW5BLktQY44H/reO8mYmV637b2DhqlYEK/IPA6kSL/RrgPuBe4PMtyCVJGqQU7+EvFDFAula7Ar+ivhXvVALTmwc/ieiuX4pYGOFJ/GNLUrsYR329rsOJxt26DU2jlhqoBb8M8CfgfmBVYpnCvYELW5BLkjQICcYA7xXRMKvV9sBF1LfinUpioBZ8QYyo/2vl+6eIIr9/kzNJkgZvAvDTOs4bQkyF/nJj46jV+mrBr0WsWvcw04r7VJOZNlhjDmDl5kWTJNUjxSyomYp4H6/VFsSWsG83NpVara8CPydwN/BDYCVgdOX2ApiLmPt+AnAVMKUFGSVJtTmQ+peW3RM4poFZlElfBf5Sooj/EzgKmAi8SGwR+ATxxLmeaOnf35qYkqRqJPgEsHABf6zj9HWBR4B/NTSUSmMOYtehEUTrfSgwL9Gyb+fVjFzJTlLHS3B0ivFS9bgWWKiReVSulezOAdYmBtj9GBhJXIuZRKxJP3PL0kmSqpZiU5jlC7ixjtPXIgZT1zNnXiXU1yj6E4lPHPNV7t+1j2Nma2YoSVJd9gOOrfPcCcC+DcyizPpqwV9GdCdsABxAFPPeX5KkEknx3rwGcGUdp69CjLP6R0NDKauB5sHfVfmSJJXfnsBJRX0bwxwMfL/BeZTZ9JaqlSSVXIrxUZsS19FrtQKxYt2jDQ2l7AZaqlaS1B7GAqcV9e0VcjBwWIPzqARswUtSG0uxMczWxL7vtfok0fp/oKGhVAplbsGPAhagvefeS1KzfRM4v6hvY5gfAYc0No7KoiwFfiemTccbQiyF+xaxct4TxLx8SVIPKXphxxJTm2u1NLGYmSuSdqiydNEvybQs2xNTPRYDniW6nc4mtq918wNJmmZL4IoC3qnj3O8BP2lwHpVIWVrwPa0CHA88Q0z3uJHYEWlMzlCSVCYpLl/uQfR41mppYt78nxoaSqVSpgI/OzHY42/A4j1uHwosC7ycI5QkldQmwO0FvFnHuQdj673jlaWL/nFiD+JXgHeJT5bHAv8GbiM+ZT6VK5wkldB+wDZ1nLcUsfX3fY2No7IpS4E/o/JVEGvgL058Kp0BOBK4mOpWZ1qV/qeKfJb6PulOtT5wwyDOl6SGqOwW92ABr9Zx+njgiAZHUgmVpcBPNYp4wr7Y47ZziK1q36vi/Bfo/1Ppqgxuyt0BwJO4VrOk/MYBu9dx3mLAgsDtjY0j9a8AjgM+BN7go/MyZ6a+tZV7G+x+8CsDZzYghyTVLcHqCU6u8/SziPcytU6p9oPPYWNgXWBhYrT8xtT36bSZ7gNmIabrSVIuBwCH13HeMsS8d6+9d4myFPgViK74F4m571sCPwbmyBmqDz8BfpA7hKTulKIB9F4Rlwtr9UPgvxscSSVWlgL/d2Jw3NDK908DvwBOoVxL1d4PjCA+kEhSqx0E/LSO8z4NDAMebGwclVlZCvwVwIxEod+8ctthwEjgzlyh+vEj3DdZUoulWPFzZAGP1HH693HN+a5TllH07xEt+PWA5yu3fQBsRizm8PlMufryEDAF+Azw58xZJHWPA6nv2vuKxADmhxobRyqPwY6i72l54PwGPZYkDSjBJxJcXefpFxDvWcqj60fRt5u/EhvfrJY7iKSusD+x6FetViN25vxrY+NI5dLIFjzAIsBVDXw8SfqYBPMk+F2dp/+OeK9SPrbg29DTxFSV9XMHkdTR9iX25qjVBsCjxHuV1NEa3YKHWDf/Zso1lU9Sh0gwW4Kb6ji1ILbanrvBkVQ7W/Bt6iXgLmK0vyQ12p7AL+s4b3PgbuCfjY0jlVMzWvAQW9veih+WJDVQgpkS3JGmLQBWrSHEe9JsTYil2tmCb2NvEF1hW+UOIqmjjAVOK2ByjedtTWxt/UbjI0nl1KwWPMBMRFf9iCY9vqQukmB4gttTLC9bixHEe9FMTYil+tiCb3NvA2cD/5U7iKSO8E3gvCJW9KzF7sCvifckqWs0swUP8Un7TmI7RkmqS4IZKq33GWs8dTTxHlRrq1/NZQu+A3wAHA98J3cQSW1tS+DKIvboqMX+wHHU3upXh7LAN9Y5xOIS8+QOIqn9pJi/vidwYo2nzkMsutXMXkq1GQt8YyVim9uDcweR1JY2AW4t4M0az/sucCjxHiQBFvhmuBYYAyyUO4iktvMd4P9qPGchYDngusbHUTuzwDfHj4Af5w4hqX0kWA94oIBXazz1J8R7jvQRFvjmuBMYCaycO4iktnEA8LMaz/ks0+a+Sx9hgW+e7wM/zR1CUvklWB14voj9LWrxU+K9RvoYC3zz/AN4hBg0I0kDGQccUeM5mwIPAU81PI06wgy5A3S4nwBXEgPvPsycRVIJpRiU+04BT9Zw2jBito4NCPXLFnxzvQ5cDuyWO4ik0jqImOJWi92Ay4j3GKlPFvjmOw7YFTd/kNRLgiWBGYu4nFetmYBdiJUzpX5Z4JvvHWJVqgNzB5FUOhOo/dr7BOAE4r1F6pcFvjXOBNYEFskdRFI5JPgEsEAB99Rw2qLEiPuzmhJKHcUC3xoJ+AG1X2eT1LkOAI6s8ZxDifcSl6TVdFngW+fuyn/XyJpCUnYpNodZpoCbazhtTWAK8IemhFLHscC31kHE1LkidxBJWe0LHFvD8QWx/PVBzYmjTmSBb63ngNuBbXIHkZRHgtmA1Qu4qobTtgVuA55vTip1Igt86/0v8G1i/WhJ3Wcv4Jc1HD8C2Ac4qjlx1Kks8K33FnA6TpuTuk6CmYGNgQtrOG0C8CvivUOqmgU+j18BG+C0OanbjAVOLWKwXDUWIbaRPb15kdSpLPB5TAG+i9PmpK6RYDiwFXB2DacdSvT2VfuBQPoPC3w+dwEfAGvnDiKpJXYEzi3idV+NdYD3gXubF0nqDEcD5+YO0cu8wE3A0NxBJDVPghkS3JZgxipPGUq8N8zbxFhqjVOBJXL84LK24EfSHaPMXyamyuyaO4ikptoKuLKA96o8fiyx1fTLzYsktc46wDXAG8QyjAmYSAwuWawBj1/GFjzEB5lbgVlyB5HUeAmGJLg9wegqT5mVeE/ohkZON+j6FvwY4Dxi6sgKRAt+NLGpwmPAdXTuk30SsUKVA+6kzrQJcGNR/TS3nxLrzU9qXiR1g7IU+A2Bk4HTgGeIbqx/E8X9MOAh4NPZ0jXfDcDswIq5g0hquH2B/6vy2FWJ94JbmxdH3aIsBf4pYjT5qD7uW4Ao7s+2MlAGE4DDcZ16qWOkmMP+QAGvVXH4EKInb1xzU6lbzJA7QMUlxOpOzxK7rr1CjCJdCFiJ6K56MVu61nieaMnvjItaSJ3iAGC3Ko/dmbgc+VLT0qirlKXATwZ2IQYirArMD3wIXAFcD7xe5eNsRqzz3peliC7/MjsauBG4HHg1cxZJg5BiDNFzRXUFe07gm8AXm5tKymcmYrWnngpgrgY8dllH0ff2ZSKrpDaW4KJU/Qyg/yPGIqnzdP0o+gI4DvgX0T1/SI/7ZgL+mSFTLtcS609/PncQSfVJMRvo7QL+UcXhqwELE93zUsfZBHiQ6JpfGLgH2L1y38zEnPjBapcWPMTv4A7KcwlFUg0SnJ1gmSoOHUa81hduciTl0/Ut+BWAc4iBdM8CWxJzw+fIGSqjZ4GLiT2gJbWRFON9RhTwSBWH7wNcROfPElIGZSnwfwe+wLQ12Z8GfgGcQvdOGzsG+Coxk0BS+ziQ6hauWgjYgnitSw1XlgJ/BbEJw9+BzSu3HUasaHdnrlCZfQiMB36eO4ik6qQYPzN/AfdXcfjRxGt8cnNTqVuV5Rrve0QLfj1iPjjEloqbEdfnu3XA2T3Am8CXgN9lziJp+vYHjqziuA2JfTfuaW4cqTu00yC7nuYkejH6WuVPUkkkmCdVNxJ+FPGa7tYxRt2m6wfZqX+vAkfhZjRS2e1HddfTDwP+l+qWr5XqZoFvDxcRA3JWzx1E0sclmA1YrYCrp3PoGsT+Ghc3P5W6nQW+fXyb2Iym90p/kvLbi5j5M5ARxPX5/pbTlhrKAt8+XgR+Q+w6J6kkUizGtSHR0zaQCcAZuJmMWsQC315OIWYbfDJ3EEn/MRY4vYApAxyzJLAOMeBKagkLfHuZQnTvHY9/Oym7FJfMtiJ61/ozhHjNfpuBPwRIDWWRaD8PE/vG75c7iCR2BM4pYt2O/nwH+EpzoEkAABV1SURBVD3VLV0rqQ7tOg++L0OBm4luP0kZJJghwW0pVuHsz5JEcbcx1b2cB6+aTAb2BE7Cv6GUy1bAFUWsxNmXocRr1K55ZWFxaF+PALcAe+cOInWbFO+dezPw1Li9iZ62R1uRSeqtLGvRqz6HE0X+cmIHPkmtsQlwQwFv9XP/IsB2wLotSyT1Ygu+vU0iuv9+SfduqyvlsC/9L0tbMK1rflLLEkm9WODb3z3A7TiqXmqJBOsDfy76X0v+O8CtwL2tSyV1t04aRd/b1FH1y2XOIXW8BFcmmK+fu5fDUfP6KEfRa1AmE6tpHUMUe0lNkGLDp2eLvpebHQacAHwLR82rBCzwneMJ4FJcq15qpvHAz/q570DgAuDJ1sWR+meB7ywnAmsDy+YOInWaBCsCbxXwjz7uXg5Yi+nvKCepCTr5GnxPCxADfEbmDiJ1kgS/SfCpPu4aSbzmFmhxJLUHr8GrYV4gPsz8NHcQqVMkWAoYVvS9aM2hxGvuhdamkgZmge9MlwBzAF/JHUTqEAcShby3rwCzEa85qVRcya5z7QNcBfwReDVzFqltpViVbr4C/tzrrjmBg4hV7aTSsQXfuf4NHAIclzmH1O72B47sdVtB7PF+CPFak0rHAt/ZbgKeAfbKHURqRwnmAT5VxCC6nvYCniIWmJJKyQLf+b4HbAaslDuIVBYJvpxgdBWH7sfH15z/HPGa+n7Dg0kNZIHvfFOA3Yj5udW8oUnd4IvA0gMdkGLw3OcLuKbHzbMAxxIrR7panUrNAt8dngOOwOvx0lSvEoPkBtLXfu/HEts0P9eMUFIjWeC7x8XEmvVb5Q4ilcBEYK7+7kwwM/Al4nUz1VbEa8gpcWoLTpPrLvsCvwPuw/Wy1d0mAgsPcP9uwK+Kad3wSxDX4zdsdjCpUWzBd5e3gZ2As4BRmbNIOU2kny76BCOArwO/rdw0CjgT2Jl4DUltwQLffR4nRgX3HhksdZOBuuh3BM4p4IPK98cSr5fHWxFMahQLfHe6AHiPaM1L3ajPFnyKy5Y7AqdVbtoZeId4zUhtxQLfvQ4kpvoMOFVI6lCv0XcX/VbA5QVMIl4buwITeh6QYFiCHyb4bPNjSvUrc4EfRWy/WOQO0qHeI968TgVmypxFaqkCPqTXIOMU74d7ACcSo+hPJV4j7/U4ZmXgBuDRAu5tWWCpDmUp8DsRLySITCcAbwFPVL7WzpSr0z1OrKX9a/wgJW0C3FREl/xZxGvjcfhPq/1w4AfA1oVd9moDZSnwSxL7LQNsD6wBLEa04ncDzsZWZrPcQLREvps7iJTZvsSAuu8B9xCvDRJ8CriOmFr6tQJeypZQqkFZCnxPqxC7ND0DJOBG4GFgTM5QHe4w4NO4f7y6y5tT16NPsD5wfxHrzI8BDk8wJMV2sMcAYws4uYj3JKktlKnAz0600v8GLN7j9qHAssDLOUJ1iURce/whAy/+IXWSnlPl9v9uzHv/IbBHioVtrq/ct1EB/8gRUOoEOwN/JRaRmEgMgJmPGOhyP3Apg79GfDRw7iAfo9ONIba/HJk5h9R0CY5MsEqCNd6Dk4Gbh8OYBLsnuCXB8rkzqiOcSnxgbLmytODPIF5MMxNFZh3gTSLfkcC22DXWCg8S3fW/pjzPDalZXgXmTDBuJVhoEzh5UgykWwDYoIhGh9S2yrYWfQJerHxN9dt+ju3LJsR60X1Ziuj+18CuI+b3HgL8d94oUlNNBD57ByyxKzw2Dr4D7FfAXbmDSaqNXfTVK4gPVtvmDiI1S4ItXoNn/ggvJDgmuT+DmiNbF31ZWvBzM/29mR9tRRAB0ZPyLeD3wENE173UUe6HVVeABReCHQv4Te48Uqf6OvAKUVie6+drsGzB124x4I/AvLmDSI30EOx6B7zx8xjvIzVTthZ8mXwaeKOJj2+Br89KwK240JA6QIIh/4afnwnPz+Va8moNCzxx3ffCJj6+Bb5+GwGXEWsSSG0pwUyT4bwfwp+J57TUCl0/TQ6ie37L3CHUp6uBm4gpdFLbSfAJ4Kq9oPgfOJ14TksdrUwFXuX2f8CswC65g0i1SLAqcObmcN1JsU3sMbkzSa1QllH0ag97AucQO/0183KK1BAJdgC2XxHO/HPstbBd7kxSq1jgVYspxNa+VxCzHm7NG0fqW2Vv90OBmWeFY96ECcDGxHNY6gp20atW7wHbAD8jZj5IpVJZsOY3wJMFnPom/BjYinjuSl3DAq96vEZ0fZ4CLJg5i/QflcF0VwNnFHAVsYnMDsRzVlKHcppc4y0N3EHs/CdlVdkZ7o7KLnDzEc/NpTLHkpwH3wIW+Ob4DHALMHvuIOpeCbZPcG2KJa9nJ56TXkJSGTgPXm3rz8B3gfNxtTu1WIIixRavGwCbFXGd/XzgYOCBrOGkzCzwaoQ7geOJgU0zZs6iLlEZTPdb4MUCdi3i/ew3wHG45avUVeyib74tiAFOI3MHUWdLsHCCm1PMbYd4zl3FtO+lsvAafAtY4Fvja8QbrS15NUWCz1YG042p3DQj8Zz7WsZYUn+6fj94dY6Lia7SC4i9BSbljaNOkuCrwO7A5gVMBEYQqyqeTjz3JFVY4NUMFwJzEG+6OwIf5o2jdpdit8kfAYsCWxTxwXEG4jl2GS6dLH2Mg+zULCcDlwMXYXe9BiHF9fXfAO8Cu1SK+4xEi/0yYsElSb3YglcznQtMJrrrtybeoKWqpViw5mzgF0V8WIQo+OcDZ2LLXRIOsstpY+A6YHTuIGofCVZOcGf66II1o4nn0saZYkm1chR9C1jg89oCuAaYJXcQlV+CLRLcmGD+HjfPQjyHNs8US6qHo+jV8S4FXiC2mv0G8FzeOCqrBIcQb4gbFdN2gFuIWNRmPPDHTNGktuIgO7XSH4E9iZ6UJTNnUckkGJmmDabbsUdxX4p4zuyBxV1SH+yiL4+lgNuB5XIHUTkkmDfB9Sn2be9peeK54q5waldeg28BC3y5LADcCKyXO4jySrBiZTDdir3uWp94jiyQIZbUKF6DV9d5gVg3/DRgGeCEvHGUQ4oBc98BtiziOTHV3sBqxHPE1RClOngNXjlNAnYmuuoPIVYrU5dIcBCwA7BJj+JeAD8GlgV2wuIu1c0Cr9w+BPYCPiAGWLkTXYdLMDxFt+VIYOsC3q7cNYp4DkwiWvCTM0WU1Ga8Bl9+GwG3AYvnDqKBJZg1wZx1nDdPZTDdNr3uWhr4A273qs7jILsWsMC3h6WAO4ANcgdR/xL8KMGXazxnucpgutV63bUB8Td3pLw6kQW+BSzw7WMeYjnSPXMH0cclGJLgrlTDIN0Emya4JcWCNT3tSfyt525oSKk8shV4r8GrjF4hWoezEBuMzJo3jnpZE7irqHIb4Mpgup2BjYtpKxjOSvxtZyH+1v9sQk6pq1ngVVYJOILY7/tivC5fJt8Efj29gyqD6U4hBtNtWcC/K3ctDlxC/G2PiEMlqX520bevRYE7gbGZc3S9BKNSDISc3nFzJ7ghwa697tqN+Fsu2ox8UgnZRS8N4ClgbWBhojVf8+htNcxmwOUDHZBiDvtlwH8X8KvKzXMSf7uFiL/lU03MKKnL2ILvDBsBdwGfzx2kGyW4PA2wdGyCTSoD8HpeUlmN+Js5BU7dyKVqpSpdDdwLnAj8jVj17P2sibpEgvmAob2WlO15/0HEB68vFfAWMBz4ETH9bXNi8KSkFrGLXu3oFWBL4H7gFmCtvHG6xvbEnuwfkWBYgpOB2YnBdG8Rf5NbiL/RVljcJVWMBEY0+DHtou9MCxLXe48EZs6cpaMluDXFcrI9b5s6mG63yk2jib/FZcTfRup2LnQDrANcA7xBTJtJwERiKs1iDXh8C3xn2xT4I7Bj7iDtIMFGqYYevAQrpGkD5qbetkzlevualZt2JP4GmzYwqtTuun4U/RjgPOBCYAWiBT8aWB14jFjpqtEtenWWK4ANiWJzMTHiXn1IsUvbDgVMqeG0j8x9T7G87KmVx3mG+J2vSfwNrmhgXEltbjzwkwHuvwRYdZA/wxZ891gDuJXYgnbUwId2lwRbJLgqwbAazhma4I5U2c43wb4Jrj0nRtP/mPhdr96kyFK76/oW/FPE3Ni+3owXAD4NPNvKQGprdwDrAk8DNwPfwL3mqWzyMh7Ytojteav1BWJxmxkSnAQsMRJ+sx1cCvyD+F3f2cfPG5JgiQRfS7D74P8FkmpRlmlylwAbE0X8bmLE7VBiUYyVgB8AL2ZLp3Y0hRi/cQFwMHATcDhwbc5QrVTpin+zgEsSLAkcC2xWGeVeix2JaYmXXgFPbAafAd4E1qOy/GyCuYjLa2OA5YHliMtqTwIP0ccHAEnNVbZWzRJEV/z8xEYWLwLXA69Xef7MxE5kffkBcV1/q0FmVHuaB/geUXh+QhXLrbajFONX1gO2BZ4nnvdzEKPav1nA4zU+3mjg+n/BLLvDO/fBPRfA9SvGCPmViX3cJxOP+xDwcOW/z1S7GY3U4U4FDgOeaPUPLluBH6wvEvOj+zKGWBhll9bFUQktTBT6xYBjiBZ92292kmJ3tt8TvV5vAhOKWHVuJuBK4OAC/lDLY/4Vhg+DKz8B6z0GLywJL4+MWS6PAg/GITxUwL8a+6+ROkq2At9Ntgb2yh1CpTEf0WV/C7Ad5blcVZPKde4zEryf4G+VaWtLVu4bmqJ7vuppawmGvQ0b/wVuegjevA0efBT2rKxiJ6l2Xb9U7dxMfwORR1sRRF3jJeLa/KzA/sRa6RcSL8ZXM+aqWoItgDPjf7mB6JLfp4D3KoccD1xXTGfaWqWV//X3YPu/w+K/hhlvgIvvjMe3dS5pUL5ODKxLwHP9fA2WLXgNZDixFOvvgLOJjVGGZk3UjwQLJfhrgncTXJrg96nXAj8Jxif42QCPMVOCHafAla/CY6fAX1aN2QfbEb8LSY3hSnbEVLg3mvj4FnhVazngKOA+4KfEZinZJRie4NQEbyd4JsF+Ce5OMdOk53E7JDgz9RpjU9nLfccEV7wND54Lt64cA+L+l/g3S2o8CzzxZnRhEx/fAq9aDSO6qc8lFnP5AfCpHEESbJvgnwleSXBEgv+X4IoUI+R7Hrd+z4VsEoxIsGmC89+Gv14IN64au/GdQ+zwVvWCN5LqYoFvAQu8BmM4sQzrL4i1Gs4kuvTnbuYPrSwU85cEryd4IMGalW75g/pooa+Q4JbKBjCbvgXnvwR/PxUe+Cw8UMm+IXbBS61kgW8BC7waaWlgX+ByYk79ScTCMkvTgBUiE8xY6Y5/NcHjCQ5OsFKC21OsLPcRb8AS78ETj8A9j8HLx8DTq8XiPvtWMknKI1uB77R58APZmlht68TcQdRxhgDLEEvBrsa0F/PjxMIvTxLL5j4NvDa9B0uwN/DfxHz2V4hlXlcHtr8LjngKFhkBK4yCT42GxUbA7IvAyJGQXobH3oIrl4YrR8L9PUbUS8oj2zz4skyTk9rZFGKw2kPEixmi6C9OFP7FgLWARYDZiC7yGYBJRMGfTGWb5Fdh+8kwajJMeR1mfgHmWgD+NBcM+xu89Tr84gN4/kV44p9w9Stwy6/gT5UMpNi7YWWiK/57KRa+eQ64nRgl/6cC3mnB70RSZhZ4qTmmEC34gZaGnYnoVfrPdLyX4OlZYZ+hMGwOmDgb3DYiWvOzLgu7LBvF+wLg7L4KdQEvEF//mfveo+hvAIyrDMx7mpglcB9wXwHvDvLfK0nZeA1ebSFBkWCXBP9I8GSCmxOcVJn/PjrB7pXBdCclWLaOx5+hMiBv1wQnJrgpwQ0Jjk6xM5ykxnGQXQtY4NVWKvPWD6vMef9Dj6K+YOX+lRP8MsWa81ulQfTIVebYfzbB5xr3L5CE+8FL6q2Adwr4LjFw7zngk8R1/F+nGLX/YgF7ALsR1/tvSXB4ig11av1Z7xdwb60b0kgqLwu8VHIFPF/Ecs6bAbMTxXwI8KsUO+INKeAIYiDf9USr/5wEG/SeKy+pe1jgpTZRxGC4zwHfAdYmltCdApxbKfRzF3B9ATsA44E1gdsqi+LM0e8DS+pIFnipzRRwKTCGWJluE2A08CxwXqWLfo5Kq/8QYrrca8D3c+WVlIcFXmpDlWvmRwKfJ6a6fStu5g1ijfpdK8e9XcApBYzLl1ZSDhZ4qY0V8GoRK91tF9+yFrAecGPWYJKyc6EbqQMUsUPc2j1ueipTFEklYQtekqQOZIGXJKkDWeAlSepA3bQIxobAccQWnJ1kUWAUkDLnaCfDgA9yh2gz/s5qUxCbCH2YO0gbGUJsj/zP3EEabFZgDeLfJtXkWGJOtKp3U+4AbcjfWW3GEK9NVW/nypcaxC56SZI6kAVekqQOZIGXJKkDWeAlSepAFnhJkjqQS9W2v8k4FadWk3IHaEP+zmrzIfHaVPV8H5N6GZE7QBuaMXeANuTvrHa+NmszAzY6JUmSJEmSJEmSJEmSJEmSJEmSJEmSJEnqWENzB1DDDAcOBm7LHaQNzAh8FdgcmAV4PG+cUhsCfA3YGHgLeCVvnLbg86t+vo9JfTgcl3qsxgzArcDvge8DDwLHZU1UbqcTv6//AV4C1s4bp/R8fg2O72NSL+sDD+ALoxpfAp5k2pKYCxC/t5myJSqvxYHXgFGV78cC1+SL0xZ8ftXP9zGpl7mAh4HP4gujGssRXadTLQS8QXQN6qO2Ba7q8f0niN+V+ufzqz6+j0m9FMBlwHbEC8QXRm0WAe4Bfpw7SEkdQHTRTzUjkICReeK0HZ9f1fF9TAK2AW6ufG0GfAs4q3KfL4y+9f6dAQwDfgi8SPwO1bd9mfb8ApiZKPDukjYwn1+18X1MAmYFFq18jQbOBN4kugDfJN583wBWyxOvlHr/zoYS3c4XA3NkS9UetgJu7PH9UsDETFnahc+v2vk+Jk2Hn3yrszkxsnk00SKd+lXkDFVScxBvtPNXvv8uH+2y18f5/Boc38ekPvjCqM7hRAuh99dcOUOV2LeJUeEXA38HFssbp/R8fg2O72OS1EILAJ8jBtlJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkqRONDR3AEmltSwwFzCx8v0YYFbgtWyJJEnSoI0BniGK/ILA08CiOQNJql6RO4CkUpsArAjMApwHnJU3jiRJaoShwH3AtdggkNrKkNwBJJXawsDswHLA3JmzSKqBn8gl9WcocCNwArA4sDKwVdZEkiRp0MYDFxENgRmIrvqtsyaSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEnt6P8DqhBKJ9p4v88AAAAASUVORK5CYII=" alt="plot of chunk unnamed-chunk-1" />

## [1]  1.40 14.76
## [1] -0.040 9.922
## [1] -0.616 9.147
## [1] -0.8464 9.0236
## [1] -0.9386 9.0038
## [1] -0.9754 9.0006
## [1] -0.9902 9.0001

无论是简单问题还是复杂问题,参数 learning.rate,也就是前文中提到的\( \gamma \)的选择非常重要。Learning rate 过小则需要更多的迭代。Learning rate 过大则会出现之字下降,甚至之字上升。

看一个非凸,多元函数的例子:Rosenbrock函数:\( f(x, y) = (1-x)^2 + 100(y-x^2)^2 \) 很显然 x = y = 1 的时候可以取得最优解,但是求解过程却是很坑的。咱们把 x = y = 1 附近的图像画出来:

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" alt="plot of chunk unnamed-chunk-2" />

再研究一下 x = 1 时的切面:

aaarticlea/png;base64,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" alt="plot of chunk unnamed-chunk-3" />

大概能看出来,这个函数在解附近有个很大的很平的底。。。贴一段代码,大家可以 play 一下:

f <- function(x, y) { (1 - x) ** 2 + 100 * (y - x ** 2) ** 2}
df.dx <- function(x, y) { x * 2 - 2 - 400 * y + 400 * x ** 3}
df.dy <- function(x, y) { 200 * y - 200 } x <- runif(1, 0, 2)
y <- runif(1, 0, 2)
z = f(x, y)
learning.rate = 1E-6
eps <- 1E-10 while (TRUE) {
new.x = x - df.dx(x, y) * learning.rate
new.y = y - df.dy(x, y) * learning.rate
new.z = f(new.x, new.y)
if (abs(new.z - z) < eps) break
x = new.x
y = new.y
z = new.z
print(c(x, y, z))
}

可以调整一些参数,譬如 learning.rate,eps 去看看某些现象。我们可以看到他最后几步的收敛极为缓慢,如果 learning.rate 过大,还会之字上升等等。总的来讲,选择一个合适的 learning rate 是非常重要的,除去经验性的技巧,往往也只好枚举了,看看 cost function 的变化情况,如果下降过慢,则需要增大 learning rate,如果反而增长了,则需要减少 learning rate。这也就是为什么某些时候我们需要一个比较小的 validate set,我们可以定期的在训练中的模型上跑一下 validate set,看一下 cost function 的变化,从而决定 learning rate 的调整。

一元线性回归

以 Stanford Machine Learning 为例:根据房子的面积预测房价。咱们来把一些概念对上号:

  • Training Set:m 个二元对 \( (x_{i},y_{i}) \)
  • feature:房屋面积,即 \( x_{i} \)
  • label:房价,即 \( y_{i} \)
  • 这是监督学习,因为测试数据是标注过的
  • 这是回归问题,因为 label 是连续值
  • 模型:一元线性回归,这个想法很显然
  • 策略:\[ minimize J(\theta_{0}, \theta_{1}) = \sum_{i=1}^{m}(\theta_{0}x_{i} + \theta_{1} - y_{i})^2 \]

  • 算法:注意此时我们要求解的是 \( \theta_{0},\theta_{1} \),而 \( x_{i},y_{i} \) 都是已知量,可以考虑求偏导,然后用梯度下降求解,这就是技能范围以内的东西了,因为每次迭代用了所有的 Training Data,所以这个做法叫 Batch Gradient Descent。

实际应用中,比较好用的算法是 Stochastic Gradient Descent,Batch Gradient Descent 每次迭代,对 \( \sum_{i=1}^{m}(\theta_{0}x_{i} + \theta_{1} - y_{i})^2 \) 求导,相当于 \[ \theta_{0} = \theta_{0} - 2\alpha\sum_{i=1}^{m}(\theta_{0}x_{i} + \theta_{1} - y_{i})x_{i} \] \[ \theta_{1} = \theta_{1} - 2\alpha\sum_{i=1}^{m}(\theta_{0}x_{i} + \theta_{1} - y_{i}) \] 而 Stochastic Gradient Descent 相当与把 Batch Gradient Descent 的 1 次迭代拆成了 m 次,每次对 \( (\theta_{0}x_{i} + \theta_{1} - y_{i})^2 \) 求导,然后 \[ \theta_{0} = \theta_{0} - 2\alpha(\theta_{0}x_{i} + \theta_{1} - y_{i})x_{i} \] \[ \theta_{1} = \theta_{1} - 2\alpha(\theta_{0}x_{i} + \theta_{1} - y_{i}) \]

Batch Gradient Descent 可以求得更精确的解,但是如果模型复杂,或者数据量大,就很难直接 Batch Gradient Descent 了。

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