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TA的每日心情 | 开心 2017-2-7 15:12 |
|---|
签到天数: 691 天 [LV.9]以坛为家II
群组: 2013年国赛赛前培训 群组: 2014年地区赛数学建模 群组: 数学中国第二期SAS培训 群组: 物联网工程师考试 群组: 2013年美赛优秀论文解 |
# -*- coding=utf-8 -*-' h& s0 k1 F( L, Z" ^5 v( x3 m2 q
3 G2 x: t6 i' P3 t% vimport math8 m) ^# P' J: R+ i% S
import sys' d# V. i; {3 n- A
from texttable import Texttable9 x: H6 Q; z6 l6 [/ b2 z6 A' x
# ~# f, u# a3 R! \! A& G% _2 j# b i" H4 Y
#
4 M7 k+ K. Z0 P5 m* {# 使用 |A&B|/sqrt(|A || B |)计算余弦距离
9 Y8 j( U0 n7 Q* n; P6 T8 A; d#0 B7 j% j2 j# {0 w: ~
#! l5 |& S+ t; m
#
5 p2 P+ @2 j5 z jdef calcCosDistSpe(user1,user2):4 V* }( q( d: ^9 ~ p) ?' L
avg_x=0.0
8 z" j$ U2 X' Z' _ avg_y=0.0
7 V/ V+ N" J! J6 H, r for key in user1:
) A- l0 w. k6 S m$ _$ f avg_x+=key[1]
& O' X2 n- D) F" \ [, }' j avg_x=avg_x/len(user1), N' A. e* y% q
4 w1 R" t- N6 m* p for key in user2:. [+ q# n0 Z! ^" [6 D6 G: U
avg_y+=key[1], _2 A, H/ \& L z. v7 z; B
avg_y=avg_y/len(user2)
5 f1 i) I' l1 X5 j1 |0 m6 m ) E$ L. L6 L( d2 T+ E
u1_u2=0.0
7 K3 Y% i9 ]+ ]; | for key1 in user1:
" x/ m. i) j+ \ for key2 in user2:
3 E( K2 e$ \4 O: ~0 p, [! u if key1[1] > avg_x and key2[1]>avg_y and key1[0]==key2[0]:
! Z6 Y Q2 p% l u1_u2+=1
' G% X9 U- I# f9 a; t5 S& i( {0 j u1u2=len(user1)*len(user2)*1.0
/ w9 M+ r$ t4 T c7 |* k sx_sy=u1_u2/math.sqrt(u1u2)
6 G4 N! w5 R7 h return sx_sy; N0 l, b4 _: d+ F7 ~3 M$ \
" f& _) H: ^& ~4 B! F
& s7 h: {& T9 |: u# b( L#0 c( J1 J& @+ ~
# 计算余弦距离: A- a8 N, g$ v4 H! x9 b8 t- G
#8 x8 u+ c3 B e! J5 c P/ _
#
4 v$ H7 h9 a. f0 s# o0 [- o) Ldef calcCosDist(user1,user2):
3 s% @( m! m3 e5 E, B' k! ] sum_x=0.0
* p; g( y( F' c' y, z, M sum_y=0.0
# a- [5 X0 Y; m; l' ~ sum_xy=0.0
2 G# S& m$ r3 L) h1 ?8 D for key1 in user1:' K& F) G7 E1 C# i5 W2 k
for key2 in user2:
8 M5 S6 i" |# |0 k* G9 q! j1 j0 H if key1[0]==key2[0] :
! k8 S1 V; r: e3 s/ T$ N" f sum_xy+=key1[1]*key2[1]4 X& W* {7 H6 @3 F& G
sum_y+=key2[1]*key2[1]! ^' s/ `( @$ A9 x+ m5 {6 \
sum_x+=key1[1]*key1[1]+ _- y# B4 k$ J2 ~) N
( @% |+ X; n4 K5 Q
if sum_xy == 0.0 :( Z& m+ ]( H. l* s$ f. X' d: {
return 0, Z" T& b6 Z, C; u' I9 I0 H% F
sx_sy=math.sqrt(sum_x*sum_y)
4 [) e8 p& O- `7 S# v( E9 Y# O return sum_xy/sx_sy# X% A% @# y3 M
) \; M: K% i6 @9 V. x7 e- |- p0 w7 g& o8 M
#
- s) R' z9 o6 T8 b" W' h0 Y#- Z4 l1 i' Y N% {% y [, o. D
# 相似余弦距离1 s) R( {! ^9 B; s
#
1 }( d5 d, E+ c# x#
, v4 a6 ?- Z5 i, }: S#
! ?; ~0 |4 s1 n% z" @def calcSimlaryCosDist(user1,user2):
( e, i5 A7 L+ \* \ u! n% N! N sum_x=0.0
, x2 l; i$ f. @4 q$ ^ sum_y=0.06 Y- G4 D3 N+ r# |! l& A9 S
sum_xy=0.0
: Y0 _! S, g" m2 v" {& U avg_x=0.0
0 P7 \! d; `3 w) u- u avg_y=0.0
( C( o$ M0 l* } for key in user1:
8 o/ f2 ]8 T# ?" T2 K* [! K" y avg_x+=key[1]5 F& w0 o) K2 u6 z
avg_x=avg_x/len(user1): O3 ^# W" L" [2 t" `6 |( q& ~
7 r/ ^7 e. I( f. x
for key in user2:
6 R: T2 `5 e9 X avg_y+=key[1]9 V9 {$ X1 ]' C
avg_y=avg_y/len(user2)
9 b5 B- t: S" E3 ]: i $ I# ~5 M$ a, _$ f
for key1 in user1:
5 |5 {$ Y( g; y" C for key2 in user2:" N3 O6 @, D! E
if key1[0]==key2[0] :6 I3 U* ~ p2 C4 n1 _/ g
sum_xy+=(key1[1]-avg_x)*(key2[1]-avg_y)0 u# g. E7 p3 ?7 z( j# ]: S
sum_y+=(key2[1]-avg_y)*(key2[1]-avg_y)
. _1 [1 V0 w4 v) e, I sum_x+=(key1[1]-avg_x)*(key1[1]-avg_x)1 M3 Z! Z8 y" z& Z; N5 A* O! }
# O/ i- s d/ z$ U: R8 I if sum_xy == 0.0 :
r$ I& l. h' i return 0
2 c; a' q: o/ `" @# | W1 l0 ?" | sx_sy=math.sqrt(sum_x*sum_y)
% ? z# I; K9 _0 x# @7 j. b7 x return sum_xy/sx_sy& b2 j/ J) c. a+ p
$ Z" h1 x. g1 w0 F* S" c+ R
) t# d, I5 i7 B. C+ m" ?/ E T#0 c' V/ j6 ?7 X( S4 R1 }
# 读取文件2 n5 x6 i& o0 B( y$ t2 E9 r
#% _0 V% ~3 W6 G4 P0 v# d
#! I6 W! Q3 t, K5 [7 P3 x
def readFile(file_name):3 a& Z) L) ^% d. g s( G
contents_lines=[]
. W9 Z. i# Z* h9 V& d7 P3 x6 { f=open(file_name,"r")
* O! V* A# i4 B: p3 q* @ contents_lines=f.readlines()- g0 I3 S4 G4 U% G: o/ l9 S
f.close(); k% ?. b' m l: A* `9 g
return contents_lines. ?! y2 a5 Q% U( q7 Y$ y
2 |1 Q3 l5 `3 q' L. A& s6 I' M" K
( ]0 i* R8 m7 s' z" }& o: d
% X/ y) m. D( Z5 d( d
#: p# s' T3 t% e
# 解压rating信息,格式:用户id\t硬盘id\t用户rating\t时间
& g6 @" w y) W0 ^4 X# 输入:数据集合$ V9 F+ `4 }: [
# 输出:已经解压的排名信息/ Y( A$ c) L$ D" j
#$ P4 v# k: }& p3 A6 |6 R
def getRatingInformation(ratings):( e. x4 i: W% |
rates=[]
0 j" @2 H; P9 Y, W9 Q7 L for line in ratings:
7 s4 \/ U6 p8 H' [( } rate=line.split("\t")
% w0 R5 @$ Z8 L4 e2 U rates.append([int(rate[0]),int(rate[1]),int(rate[2])])
1 h) ^8 t' s) A$ m return rates `3 y$ ?# W9 G2 ?4 u: l
$ F4 q' Y/ s. d$ t+ A
- O4 i/ u, h' b
#2 Q3 ^- B z! j; Y4 ?" S- _
# 生成用户评分的数据结构; `5 O% [" M7 o& c* C
#
y) b5 x: d8 R' ?' v8 ~% a# 输入:所以数据 [[2,1,5],[2,4,2]...]
, x+ J) c0 }+ F% t# 输出:1.用户打分字典 2.电影字典% E1 I$ H, d8 g) B* {& L
# 使用字典,key是用户id,value是用户对电影的评价,
% r' y1 [( r7 I6 ?. { Q( X: D* z# rate_dic[2]=[(1,5),(4,2)].... 表示用户2对电影1的评分是5,对电影4的评分是2
$ b6 Z+ e/ ]4 b0 \8 m& j7 \#6 K' v% Y2 G+ [6 u" o; \
def createUserRankDic(rates):
) [) ?! U4 a' a" b) j- X user_rate_dic={}
* V @% @/ A/ Q% Z item_to_user={}0 P5 y3 L2 W* n: z/ c$ e
for i in rates:8 G( K& q$ [* z. I T; o
user_rank=(i[1],i[2])! j3 Z' U! j" |9 {( ~
if i[0] in user_rate_dic:
# d1 P3 X6 R4 L user_rate_dic[i[0]].append(user_rank)
9 ]: h( Z% F/ e else:8 B P- E* q- V5 ~7 u3 w; X+ Q) f" u
user_rate_dic[i[0]]=[user_rank]
. O3 `; s9 f; {9 \ ) f5 W$ O: C4 S! B* j6 J1 N! f
if i[1] in item_to_user:
" ^# V9 Z6 G0 q$ t) t item_to_user[i[1]].append(i[0])+ j! |2 U. \$ `% w, Y! {
else:, _7 N. g3 [+ ?) P2 R5 Q
item_to_user[i[1]]=[i[0]]
. q! I1 z3 O# L& X3 S1 ]4 t
$ ], T- {: g+ \ return user_rate_dic,item_to_user
8 C8 N S9 g) Z0 ]! O! U
% P& `) B$ I7 L; R( L& `$ t9 |8 t/ o7 N) r4 s, U6 y
#
6 H3 Q3 g# w; w! ^) Z# 计算与指定用户最相近的邻居
4 j ?% {. [) z5 F# 输入:指定用户ID,所以用户数据,所以物品数据' Q, q. b- Q; C$ A' H3 F: K9 K
# 输出:与指定用户最相邻的邻居列表
d, v$ p' L1 G* z$ R/ Z#
7 |! V9 l6 d, y3 N3 Udef calcNearestNeighbor(userid,users_dic,item_dic):& g& x4 ~1 \7 N, b0 f' l
neighbors=[]/ r7 R' O4 t% @1 w6 f4 U
#neighbors.append(userid)8 @" i2 Y/ q6 _) a7 y
for item in users_dic[userid]:
8 l1 d/ f+ S0 D& x5 G! k for neighbor in item_dic[item[0]]:
8 h4 M" a1 b& C' T) B if neighbor != userid and neighbor not in neighbors:
/ n. H6 N# }& W; Z8 D# M" k neighbors.append(neighbor)
9 j% M$ {" k5 b
' p- ?5 m; [8 i5 W neighbors_dist=[]
0 }* G, p) O: K3 d0 Y9 g for neighbor in neighbors:& a0 j" G( L$ B4 y' W# x1 [
dist=calcSimlaryCosDist(users_dic[userid],users_dic[neighbor]) #calcSimlaryCosDist calcCosDist calcCosDistSpe0 c- q6 D7 {! ] G! t! ?0 C
neighbors_dist.append([dist,neighbor])3 G4 L; u' q- `' o1 p: O
neighbors_dist.sort(reverse=True)5 m- }6 ?8 |1 n9 o
#print neighbors_dist% m) f/ d+ Z7 S& Q5 P
return neighbors_dist
) c% Y) Y/ ?( |$ P5 n3 r3 k/ ?# U8 E0 K% B3 [! Q6 V2 n/ n6 j7 t
; Y2 i& c% m0 o9 H' T+ J#
1 ]% f) B9 n! o: X! W. A. A! @0 F% e# N# 使用UserFC进行推荐& ?; e$ Z- i, N5 |# o5 @7 P$ B6 n
# 输入:文件名,用户ID,邻居数量
9 K! X0 G* K& T) A! |9 x# 输出:推荐的电影ID,输入用户的电影列表,电影对应用户的反序表,邻居列表- f5 h p6 `# S) Y
#4 s3 R, k! q1 D: }, F
def recommendByUserFC(file_name,userid,k=5):; i5 a( _4 c9 V$ `3 g4 z8 z
7 [7 W6 F7 H/ x9 k. Z& l #读取文件数据
" l0 I7 z* C3 s' C8 e test_contents=readFile(file_name)8 U4 F# t# S! d, L( f7 i+ X* v7 S
. v& a L/ _# Z- l/ p9 g- A/ N2 i
#文件数据格式化成二维数组 List[[用户id,电影id,电影评分]...] ' A+ a s) S* z H
test_rates=getRatingInformation(test_contents)
, _& `/ T& @ k4 N
- z7 K. n- U: j' y* Z #格式化成字典数据 % K4 i8 B9 O: ?9 {# n8 p; @
# 1.用户字典:dic[用户id]=[(电影id,电影评分)...]
+ W. v( m* O7 G+ J. z # 2.电影字典:dic[电影id]=[用户id1,用户id2...]: X6 X% _" U2 f- {, a9 f
test_dic,test_item_to_user=createUserRankDic(test_rates)$ ^/ j! j$ F: _+ ~& u+ n) d
- b9 Z4 W) H+ |. I$ x
#寻找邻居6 ?2 |3 J# ^+ J0 \1 R: \( r, ?
neighbors=calcNearestNeighbor(userid,test_dic,test_item_to_user)[:k]1 e+ R: p+ f. v( w) w
: C' p6 A( @9 B# m7 c& Q8 T
recommend_dic={}
+ h+ o, C* s2 o5 @) U for neighbor in neighbors:
6 j7 @. a; b0 d* M' u! P& w neighbor_user_id=neighbor[1]
+ W/ T* r6 Z: X9 B# g" k0 B movies=test_dic[neighbor_user_id]
1 ?6 m. T9 d P9 O6 r: M for movie in movies:9 X0 f+ U) h0 X ^& f1 y
#print movie% \3 g H, N* q1 ]6 ^+ Z5 ^5 `
if movie[0] not in recommend_dic:: O, I- m" [" h2 ~
recommend_dic[movie[0]]=neighbor[0]3 T L5 ?6 {& ]- D
else:
& w3 o7 s6 @5 i3 b9 K recommend_dic[movie[0]]+=neighbor[0]
! Q3 x! C- J9 p* _7 L #print len(recommend_dic)
9 f" b" V9 R" p+ a
7 W4 [# C1 F4 `2 h& J6 [" Y #建立推荐列表
2 s4 M. |: M4 M0 [6 s recommend_list=[]5 V1 `+ q& A1 X7 w' g# G# [3 t
for key in recommend_dic:* Z& E* h9 a) i
#print key% ]2 `5 U K! M' f, A9 s
recommend_list.append([recommend_dic[key],key])
# d4 H5 Q0 B( M
8 j) e4 p1 D9 [; H " L$ Q" H; c+ S5 f4 t
recommend_list.sort(reverse=True)
. F9 `/ ]3 k n$ W #print recommend_list
% Q4 P) l) M. O2 s3 L user_movies = [ i[0] for i in test_dic[userid]]: K; \$ `. Y. S0 w; F4 T4 Q
0 C1 ~ I2 ~6 ~! M9 w return [i[1] for i in recommend_list],user_movies,test_item_to_user,neighbors
. e! O' | M$ Y8 d! h. I \ + X: u2 e# O1 T8 N; I) `, n
' I7 L& f" m C% U$ r0 M7 Q
* _/ J ]& ?) v) c#: }: b/ W% y& [4 G
#3 O% [$ I: R. ^' k* `, U2 s% K
# 获取电影的列表
. j0 Y* i8 I+ Z## R/ i& n7 o' E1 A
#
1 g1 F0 |6 e5 g* U; [#
* }3 C' W' J- F9 c" Adef getMoviesList(file_name):
9 O) V2 k/ ] S) {8 \9 T #print sys.getdefaultencoding()3 h& `' @0 W$ ^$ [$ w: ^
movies_contents=readFile(file_name)8 r4 O' Y) t( d% @5 i% D
movies_info={}' K! w) C# l1 u, {
for movie in movies_contents:2 d& o; q( L2 n1 k
movie_info=movie.split("|")
8 M: _9 h0 O6 G movies_info[int(movie_info[0])]=movie_info[1:]
/ J+ d4 U. @$ ] return movies_info8 m8 H: Q3 {# u9 Y- Q6 `
& I+ d2 G7 }8 N0 R N
# A9 K4 s7 m' {9 j
1 }' R2 F* `7 ]3 e* o: N% P#主程序 ^ J8 h5 \- Y" E6 t8 Q e# M
#输入 : 测试数据集合+ H( Q. \: T7 ~1 ]! j
if __name__ == '__main__':3 a/ V; e U- T3 }$ ^8 R1 Y
reload(sys)3 [* X7 I' ]6 K4 v. C; g
sys.setdefaultencoding('utf-8')! ~$ T' O* g- {! W' k
movies=getMoviesList("/Users/wuyinghao/Downloads/ml-100k/u.item")' r" D; v" Z9 q7 o7 U6 u+ h
recommend_list,user_movie,items_movie,neighbors=recommendByUserFC("/Users/wuyinghao/Downloads/ml-100k/u.data",179,80)1 l- w; x+ i! N" }. |( G
neighbors_id=[ i[1] for i in neighbors]
( A. R6 t. e" _ table = Texttable()
+ T- b- M( G Z) t: O table.set_deco(Texttable.HEADER)
, t0 ~. v. O/ ] table.set_cols_dtype(['t', # text 1 v: m8 j( a2 @( m7 }: e$ X
't', # float (decimal)
! m- I# ]5 R G, ^' h, f% x/ s# A 't']) # automatic, ?7 @# X# V) E* v" b- p
table.set_cols_align(["l", "l", "l"])* i0 i3 ^- v* m/ l' T# u
rows=[]! D. p& a5 W$ d# y( R+ L* W, x
rows.append([u"movie name",u"release", u"from userid"])1 ]3 c+ I7 i& ~, |3 ?, J
for movie_id in recommend_list[:20]:
& `. W3 J) u3 F+ A" g4 E7 l from_user=[]
9 D M9 c% ~4 W for user_id in items_movie[movie_id]:9 B3 p+ N8 ]6 x& c+ u
if user_id in neighbors_id:
( `* @4 L1 _3 |$ Z from_user.append(user_id). d- o7 U- C }+ Q1 P
rows.append([movies[movie_id][0],movies[movie_id][1],""]). M: x1 G% B5 g& A" E
table.add_rows(rows). W! q! y. T( |9 g+ g* R
print table.draw() |
|