From 8e29c1a94a850259d558380a5f72d26a19315e64 Mon Sep 17 00:00:00 2001 From: benjas <909336740@qq.com> Date: Fri, 16 Apr 2021 21:02:37 +0800 Subject: [PATCH] Add. Example --- .../5.决策树——每次选一边.md | 30 ++++++++++++++++++ .../assets/1618577639913.png | Bin 0 -> 6155 bytes .../assets/1618577661694.png | Bin 0 -> 3423 bytes .../assets/1618577700910.png | Bin 0 -> 4744 bytes 4 files changed, 30 insertions(+) create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1618577639913.png create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1618577661694.png create mode 100644 机器学习算法理论及应用/李航——统计学习方法/assets/1618577700910.png diff --git a/机器学习算法理论及应用/李航——统计学习方法/5.决策树——每次选一边.md b/机器学习算法理论及应用/李航——统计学习方法/5.决策树——每次选一边.md index ee7eb44..a7485bf 100644 --- a/机器学习算法理论及应用/李航——统计学习方法/5.决策树——每次选一边.md +++ b/机器学习算法理论及应用/李航——统计学习方法/5.决策树——每次选一边.md @@ -65,3 +65,33 @@ Information entropy ![1618576770871](assets/1618576770871.png) +> 面试可能会问到这个公式,还有交叉熵、相对熵 + +熵越大,则随机变量的不确定性越大。其中0 ≤ H(P) ≤ log n + + + +### 举例计算 + +Example + +假设投色子,6个的概率分别是1/6,计算如下: + +![1618577639913](assets/1618577639913.png) + +> 其中6个1/6(log左边的六分之一)加起来就是1 + +![1618577661694](assets/1618577661694.png) + +> ![1618577700910](assets/1618577700910.png) + +则最终=log6 + +这也解释了为什么上面H(P) ≤ log n + +另外,均由分布的时候,熵最大,因为所有可能都是一样的,如上面的6个面都是1/6。 + + + +如果有1个坏苹果和9个好苹果时,我们可以认为大部分都是坏苹果。内部并不混乱,确定性很大,熵很小。 + diff --git a/机器学习算法理论及应用/李航——统计学习方法/assets/1618577639913.png b/机器学习算法理论及应用/李航——统计学习方法/assets/1618577639913.png new file mode 100644 index 0000000000000000000000000000000000000000..ecd64f3dabc2c112ed6794e2b6cb98267f069f69 GIT binary patch literal 6155 zcmZ{IcQ}=Q`2Wd>ju8^FL&~PIH^<(q?43kDHf4{9Y?)bE*((yV#WAv1_Kvdm2z_tY z^}Bx8_n+_i!{s{9dEU?ax!G0q zu>+^6OM(ygQ|6|VYisxa&dfEq>oO_Cn!<-7vz&kffr*J3C}tK;jfvS763pX-kB`qt z+0n_v%^hw{!H8~d=FTz;PYq>^SB&}a!N!`WikY9E9K*kPz&so`N0Vh}Xb7Jpc+9ZD z<2DBehtT%8;i~AvwY0`YG3_T$vdYVe61hx*CFq+Ab&Bvg5;{i4$FuYEai5kM%P1(^ zAfy&R;Naj$hdqmx&(+i?9~vIsT^nR9Hmn^QFn^(JWJFVfmz$d_;Ic-vvAOB$LDwerl)YH?uDYcm+?zM$yu3sh7#M=5GYTHYeO4q1#qtuP zds=EJsit<5SuMR-y6bw!@bInl^z=55zL+0$mpeEmQStIj4h{~@D?N#K6MGic*7D(3 zR`BjgytWBrXj^@6xvox)`OmhlasoEK^Q>7)|o)DeBvcaR@Qv@lL{_A{`VY(_bx-*_BU?cyjfFQyRh8#K1s;6 zu=}?k3j-;#Wp$r`Blro0qMN=c z-p^O{K**vefg_kq(zg1)8JlwF#Ds(ZdffLT*eY^PtOgeV&uGQm`Q2AG7rcNg1j59` zB>pcOE9=0(fM24Cj~=7sb!iC+1gCL5ZUDW@?6JLn3co!@bMz-v}>rHnYwZXO)zw+}|T0)8cdRGh4}f zQZsrH>5pz2Z21!)#&)4;Eo7u~M@myu6Jx&OpX_ZK8k!pKzkG;8{=B+6%JkO`_sAx!NXiKhA;{4(wMy7hmja$s~7sqo?Pg~Fa6qQ9MCE+*&)L^FAPUa&~rH?j*jV z1z>yKCLhr^Qg>5RQz;mqFM~8mvBnpUVzUO^1!;hWf2+*gHuvw+{pC#EZE{Y-kKzK- zu}sixz8^ut(2+EODJfL?1_l*woBB{;-t3`^7*^7<7ks+@7HYYC+a2TAf2P+dcHa2#4cMqj-T8qZAadKYY z`AL`87oyQpC?+PxdVG9%=ueOP#e|R~to>wa?($Q46C4s58QIS6u76MvwrYkL0RZyL zun}!kUPa9Q?yd$~5hoEc$ol0=>T()|*tPX_X%iDV%ZJI`GIw}u_NL^OUxaZrHqU%>2kt8-<+}I23*i@u0-8b(X3Oz-99Y)_@{xA7wze%+mA9!U z{#_n7eTfxiV#0#T9?XgVJFir1B9bJ6Cus@mf32(>R!IG&o?ledmMs^hz4cx(*XG&R z>gp#BUAR~nB~6t@s^nk?NUQHNGiOy)5ZjIwXA)3j=iTp`o50~f#hcgw)zo)Ai@ugZbqCH(* zcd87RIwG`AQkWFt;^WQsmb;KhKxX6RnJuEQk|=*wMMVdge_(LXADqa8PPQ0%buF#H z-@|!qhR3}r{DYH|Le{6!Qc|RsjiB}yjGkw8&^n`(@1Cc>?wFS?t*N2d+}vb6K776` z8%0~P>^>$-p6>Dp5%pXZi10_OpJ2A<0t_(Kt`F-&Q5_Z{UI zF&eikVvl8tPq#2MoQ{5m<5ynJ9Y1v=pt(Ja94Bq;accc;2bIk+xW*Uk-vR>zRb4WH z_%sW&7078tULh)U@!8ne;#rL2yg#}ujGOpgb%*%*4klt{?jZEm{a|+CpeKyAV6x;=8zTb_W*}={2Q^fRpXLmUDs;bA6I0ui- zD=3EZ)V5cLF8kxzoX5btGcg1Lg#zV^P{)dac5pKoRSyW{O|TzSAm7AD{tf9E#Y!q_J-n|-?5#Y^3!#$ zcz=(#x5w$_P^ft@b0^F1)kcC@UESQw!8JwqtO&SmBz5H^XjH_4G3xB^m($X^<%i}H zQc_a7XGD*SF*rC_URCwIB@pKYX0{@EVPT=eO84!nM_6fEQ{yWWVbPcag<&HAV-HwZ zB*6~)p(D3rV@bfoXO)%`Hd|!qDky~NHzk#oaY47~l&T`JFm_&vym|9xe#*Y79sJTY zKR4FAyu9q18eO}1q)o`n{6BZjP#KJZto$+Pr3H{OTtdQ6$95nM1Ox;JBUN9&lJoHJ zoE(muT$yqKLBT;g2s9C($Mn3sx4}Wqc^}g-Ff!gH3tRa0>pJ1v?60;ItZ;8% zEnBHcQ)#u4j10D-qT;~NP}alncZ+B`UldqqAc^04kt`CTi~v)nd-n$GAe>aZ-nSYV z85!_zotc?AIa!LjON6^K@jQd&WZ1;_!c{;(U>;c0A5vBj9{JAJx9zO#Y|KZ``$md5 zttolUW=BR)iJS`#0zk}?@OZHD71o0cR~0xrT(5EYP2%^jzroqrIVL3~?0D8wE!Vye zjmD9SqLs0;D;YB2e*Bp9szuB#EX)z#G<#J1*h&3deJbXq>d!ojhCn1SrK1NR9?LV@Xml8gPYYQe2 z+WcGcbrvJ6y)`exr*PPZK*i0C4^UZdfhLTYba!)O5EiC-_Usv$*;kjRtHh+FImf!f zIvZ18Z-T36hL_^yb2&Xdy~3)rH0Jd5G!Z3b;h4-I9hM~hg9jl##3_`p(`>dg>o8q* zSy)_ANeQguuilim&CL=e7O1za&_^-p>5*^VU`2R4jhC6oIXd!CQc>|(bl?~3Ra!}y zypoc__@tct&~#9_;ezt#OFllkNtBwus|+;PyLa#K^=lqUNKh|_V^?_gZ+XZ*`AVJ~5`v9ST48uHD3 zduR$bKmvAt;?*cC+03K>K@kbvp2Tg2@ubu+w60F*f+9K+HSru>g?^kcX58+3GV36;dIfH5{9c~mzOO)3=9pa1>Ls{_c|h| zC=V;1_tQFc#on_tFrZS1Wty0pQsUIF3OP7DyqA)a@>i5kOf3CJcQ@q@wZ}zAAOw`7 zt(h?IzeiVOBV9TJ=_e{Y96wdeTVIZZlI}zJve@5^N4P;!C=_a7m>6s%UrGt-L4j@l z?`6m_(J%_=?pAbhcV7ZUp;XZ-Dk{2)@1Xy~Y%!Vzq%ZlXKv|fd)(j4$3OGtBkmCkG zlBFawf+Iu$Do993)Qyb^la+(P7ui&`8XFl!fXOBUPwir*WN*&}Y;R_38wRdx9i`fE zx}3gz@O!xC^**z?xp~zQ`QgEVDRjrH)iie(vRAe*EuTMUQ^wT64nYP1><=s1Es<6ANU4_o|-WvC9+9$xKFNQzeS#F<$ zoC~*zc%2Ygpd;Ja%IdS?IdgJy9u&{sL;=n(d{w-h+V;Mb5>W9qgFwR!3KI1|VHB7! 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