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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 -*-8 P) x3 d- L9 ~: b3 k+ [( n1 U' ]1 f
2 g% C Q* }8 }" M% T
import math
) b0 X0 r4 e% M+ ^, q, q- G* Iimport sys
7 P' X1 y! F$ B# e1 hfrom texttable import Texttable
" I" z' ? z2 m( s& c, G% J
, ^% I, r9 a3 r7 p. k
! j g0 B% l4 W% H#% v8 H3 A# {: D6 C, v$ U
# 使用 |A&B|/sqrt(|A || B |)计算余弦距离
/ I- F2 Y+ l/ l5 |0 g% @#
6 u. j+ s* Q- l% n) U$ v+ w#
1 F# K ]1 p* y# T. o$ X2 _! F#8 o- i+ b' `# U/ _) A7 y% ^
def calcCosDistSpe(user1,user2):* ]& F& f, d& `7 a, t( `
avg_x=0.0
3 p, L6 [" d3 I/ D avg_y=0.0
% Q7 g* `& [9 _' y0 g6 G& k ~ for key in user1:/ ^4 N" p) ^9 {- a+ c( {
avg_x+=key[1]
! u. K8 T8 }4 [% f' T4 k avg_x=avg_x/len(user1)
8 H3 {1 H, Y Q6 g& r2 g# o# c% c " D# N8 j( {! g! `4 ?
for key in user2:, M& s& Y/ G6 Q. f i# B- c [ ^( q
avg_y+=key[1]. M- {4 B4 {. o; N7 X* H% W
avg_y=avg_y/len(user2)
6 A& K% ]- U$ t w$ l8 X; U
4 S9 W" q7 S( B/ P( C* z8 ^ u1_u2=0.0
$ n7 N8 I; ^1 @" R u2 s% E+ i for key1 in user1:9 b- X u! o1 S( |8 V) N
for key2 in user2:/ R' s: z' p6 k& A
if key1[1] > avg_x and key2[1]>avg_y and key1[0]==key2[0]:
2 I% x! e9 m9 R& x u1_u2+=1. {' h6 Y& @+ I) w+ _% r4 D
u1u2=len(user1)*len(user2)*1.06 @2 G* J4 Q( d& u
sx_sy=u1_u2/math.sqrt(u1u2)
1 V. R5 S2 p+ x, @. R, B! p7 w8 q' @ return sx_sy) v5 R8 W @8 L% G% H/ S- P
; e- |+ J8 j9 k- a
& I* D6 E' Q( g2 p' R+ K
#
1 h/ \6 k! ?) v9 s) A. S( X- l/ ]& [# 计算余弦距离
) K# \% D/ {# z- M#7 T6 `: V- Y/ ]! k) i7 u# b
#- s7 j* X( Q [$ F f( T
def calcCosDist(user1,user2):
) A* g& g% T# l2 Y7 w8 y$ X sum_x=0.03 K1 C- p: K+ H2 k
sum_y=0.0
% @" u0 H( F2 o- i4 e a sum_xy=0.0: j# w/ ]$ l" z0 e! g
for key1 in user1:
9 f+ W# ]6 _: N* \: Y for key2 in user2:+ L: q6 ~' A6 E& N+ v: |# L
if key1[0]==key2[0] :
) ]/ q6 D8 M& J5 z! V4 v1 P sum_xy+=key1[1]*key2[1]; }3 S c* c3 ?1 i
sum_y+=key2[1]*key2[1]4 _6 k' G# r' ]$ [
sum_x+=key1[1]*key1[1]" s2 p" R6 d+ @) I$ v0 y
: E. Z& |; Q; w; }& Y
if sum_xy == 0.0 :: c2 z5 L. K* W/ a7 [- C, q. u& ^
return 0
% g0 E1 v0 X; P5 t( _ sx_sy=math.sqrt(sum_x*sum_y) 2 f- y# i, G. P( c7 Z7 ]: ]( P
return sum_xy/sx_sy* w3 r. P2 ?1 r) h2 W/ d' g$ t6 g
+ V- V6 e$ F \5 H1 i& _, M
- ~$ \, w: R: |0 D4 t+ W; O t#/ Q( u7 q; d, O3 }
#
$ \+ S; t# g" d5 |' v+ Y! h* D# 相似余弦距离' e3 ~1 G- a# |8 [& z7 O3 t/ n
#
, l- [* n. H" K( y. p0 a#
6 M1 n. e2 ^' o0 x e0 ~+ O/ x d/ A#
2 m7 ?. C" H" E; vdef calcSimlaryCosDist(user1,user2):
, {1 V8 ?5 f3 { sum_x=0.0! d' ^4 z6 w% c4 N
sum_y=0.0
- ~7 X1 v; K) ?$ S( C" Q sum_xy=0.0) W$ f8 i# j; H( t5 b/ u
avg_x=0.0
; A' H ^3 p( j& i* j avg_y=0.0/ I* S0 f V1 x7 M
for key in user1:
) f2 D+ n* \! r3 ?# T* ~* k avg_x+=key[1]+ Q4 J6 P3 A" e8 ?. M1 z" i( a
avg_x=avg_x/len(user1)! R3 |# e* k& T
5 {" f% \; s- \; h' U& D2 h' V
for key in user2:/ q( _: G2 t3 g$ e4 z! W8 t0 q
avg_y+=key[1]4 d+ _) @1 |' M
avg_y=avg_y/len(user2)7 p) ]9 n$ b& Y% B8 n3 Z# \
+ d# V: M9 O' R% _% H- U, n
for key1 in user1:
. K: q9 o" r+ C/ c for key2 in user2:
# J# B% r5 {& t, y6 H if key1[0]==key2[0] :) |! K& O1 B2 C6 l2 y
sum_xy+=(key1[1]-avg_x)*(key2[1]-avg_y)- \. e1 y/ @9 U8 Q
sum_y+=(key2[1]-avg_y)*(key2[1]-avg_y)
6 Q4 S& d" w/ }* M( A" B sum_x+=(key1[1]-avg_x)*(key1[1]-avg_x)2 R, {% U) m1 C- x8 J0 \
1 ^6 M- o! t0 N1 W2 Z* U/ | if sum_xy == 0.0 :% f4 w# f6 A' K/ c2 n
return 0
+ A: p/ o0 Q/ ]' E* M% s sx_sy=math.sqrt(sum_x*sum_y)
6 c( h& t" j% }) Z! V/ o! a return sum_xy/sx_sy% u9 V! v+ y3 G, P( k# ], a4 B
* j( J1 I, O p5 M$ f% \
# u6 `3 B+ G, p+ K% P& j0 A2 v! P
#* S3 l/ X9 {; {( x, k: u1 Q
# 读取文件
3 d: s, W/ r% E. |3 F9 b5 T0 p#
6 M# l. k$ ]* u W5 f" K6 k/ x* T5 R#
- {0 i9 i1 A- U8 @& Odef readFile(file_name):
! x. i. {( N4 _% Y% X, z( D contents_lines=[]
6 s0 m% Y. _( P! Q W f=open(file_name,"r")+ L0 l2 s! P; B9 E9 w4 Y- u* ?5 H
contents_lines=f.readlines()
) z$ H/ a4 X* U" D& y+ u E! P2 c f.close()
) M" L8 Z+ R5 ` return contents_lines' h; e4 n! |& e6 Y/ Q+ @! |$ b8 k
+ P5 W2 L* F: f& `1 [8 |( ?7 I
- ?( \5 b8 f6 v0 Z5 z9 u% W
) }* v. U, L& @/ }#
0 z. s2 T9 Y) I/ O) k6 u0 p+ u) D# 解压rating信息,格式:用户id\t硬盘id\t用户rating\t时间
4 E* o0 i. f/ _; ^6 u! p6 c# 输入:数据集合
1 D5 H/ I0 a6 R) ]# w5 d- a1 k( N# 输出:已经解压的排名信息$ t# [$ W) P! p4 r% q
#
( J2 u! c; [* g5 ^% o' J& \def getRatingInformation(ratings):
t( H8 D* |5 H- n rates=[]
1 Z' R% Y: I+ ~( \3 v9 { for line in ratings:$ J9 v' k* r+ ]. c, l3 [; ?
rate=line.split("\t")
: @( X/ j! i3 i+ O$ O+ S7 n: j5 t rates.append([int(rate[0]),int(rate[1]),int(rate[2])])
( i' E7 a$ e8 Y1 n& Y8 J return rates
* M0 R& E' g+ B3 h" [- q. ?) a- {# \* M
+ Q: p1 T( e; U; g/ q
#
7 v. @8 a( ]5 ?' z* W# _' ]8 _+ @# 生成用户评分的数据结构
5 Z. o2 ] F9 `0 Y& R1 r. }, g; e# 6 ~: H! S7 C% ?. f" X9 X
# 输入:所以数据 [[2,1,5],[2,4,2]...]
6 F9 u* ?* H( i# 输出:1.用户打分字典 2.电影字典
6 e3 F* B7 u% V3 `# 使用字典,key是用户id,value是用户对电影的评价,
0 |6 K, W1 e& m* O! O- E# 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; ~* q8 v$ W: {! k& Y
#
' k8 Q4 T3 N: A% ~def createUserRankDic(rates):
; x( |3 K* }/ I) j user_rate_dic={}$ K+ Z0 ~# r" ~+ d6 n n
item_to_user={}
; A9 i4 }4 Q; y( w% b for i in rates:
) i% w ]+ P$ b0 {2 h V user_rank=(i[1],i[2])0 h5 V. O5 K% w; x3 ?: z9 ?2 V
if i[0] in user_rate_dic:' E' u; ~ F7 j9 L( c; V1 u% \6 i
user_rate_dic[i[0]].append(user_rank)" `5 K5 R4 m7 r' o7 p: h. L5 F# }
else:0 l7 u" \! I/ t/ ~% t5 i5 ^
user_rate_dic[i[0]]=[user_rank]
- r$ Y# p9 ^1 l6 G) S6 u ! b( t5 y" X/ s( p
if i[1] in item_to_user:8 h# K% b- x2 y% _5 \& K; G
item_to_user[i[1]].append(i[0])* M# Q }; w" k4 G1 d
else:
% e3 p/ U/ C9 v- A3 S item_to_user[i[1]]=[i[0]]
7 N/ }2 u. k6 \/ W
6 V$ w7 s* v9 R$ b7 ?1 Z return user_rate_dic,item_to_user
2 Q% T* g5 j5 l" B
1 x; A6 A2 T! A- |2 W! Y4 N3 p3 |& y6 i2 v" L
#6 O, I) _: o, V( @/ q
# 计算与指定用户最相近的邻居
2 c$ ^; C) k% |# 输入:指定用户ID,所以用户数据,所以物品数据
9 L* q! |2 A- G3 Z. s. S5 L# 输出:与指定用户最相邻的邻居列表, i$ y$ s8 T1 e7 D# e5 z; R4 ^5 o% P$ g
#7 H( c. ^# K7 A6 S3 ]0 u! [
def calcNearestNeighbor(userid,users_dic,item_dic):. L+ ]$ @9 q/ ]- g" R! X8 Y
neighbors=[]
3 J& v( d$ g% S# `4 W, \; j #neighbors.append(userid)
z- a2 S, k0 A4 ~% v) @* w3 S for item in users_dic[userid]:
* P2 A1 V) K1 S- C for neighbor in item_dic[item[0]]:
2 }* h/ {6 d) S/ D5 ]: Z4 o if neighbor != userid and neighbor not in neighbors:
5 O; W! {1 K# L6 i* Y neighbors.append(neighbor); k' @/ E9 x) E, s. t
! m- I+ H W5 [ neighbors_dist=[]
: L }# ?& K) M; q for neighbor in neighbors:
# z- t) ^. h& \$ j- ?7 w: n dist=calcSimlaryCosDist(users_dic[userid],users_dic[neighbor]) #calcSimlaryCosDist calcCosDist calcCosDistSpe
. s0 e: W- P ` neighbors_dist.append([dist,neighbor])
" t" ?) e% i( X( Y4 E neighbors_dist.sort(reverse=True)
9 m) v2 {. B( ^5 y8 s #print neighbors_dist3 Q7 @( T5 N% ?% G" q
return neighbors_dist7 z: R, Z( K' L% Z& }' x# E
4 `# G. ]1 `$ ]5 v) H, b. T# V( z
, P/ R* e/ @8 a. G% w7 H& \) s2 H#, d' W: e. v/ a
# 使用UserFC进行推荐8 ^! b2 ^4 U7 l. A
# 输入:文件名,用户ID,邻居数量* C! J! j/ p; m1 c& F
# 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, }- T! y9 F( K* [5 M
#* u( @* s, z5 E8 U+ e
def recommendByUserFC(file_name,userid,k=5):
% K& u c$ f* e1 g1 G* o 3 R2 z- t; A1 i" K c
#读取文件数据- O* q" a v1 S
test_contents=readFile(file_name)$ \; c$ p* N1 z6 m) s5 P5 [$ r
& G& A7 [5 E; X4 e: s
#文件数据格式化成二维数组 List[[用户id,电影id,电影评分]...] 2 Z; I) \: x; L; l& x
test_rates=getRatingInformation(test_contents)
4 F! Q3 x: J! h5 S0 S; `8 P+ e 4 _9 N/ S& p2 E
#格式化成字典数据
* p% X& A0 V, O1 r6 ^& u # 1.用户字典:dic[用户id]=[(电影id,电影评分)...]/ x$ h. q1 r% ~
# 2.电影字典:dic[电影id]=[用户id1,用户id2...]
" R& ~0 ^ [; f test_dic,test_item_to_user=createUserRankDic(test_rates)% \: G1 I: V; \) B
# L) j# D; y3 r- ?- v #寻找邻居) a! Z0 n, a( F9 l
neighbors=calcNearestNeighbor(userid,test_dic,test_item_to_user)[:k]
F/ y: K( w7 o1 s2 Z; B& ?: T 9 p$ E6 f* ^% h: ?! v. ]
recommend_dic={}6 }9 B: f- r1 E# p* n8 [
for neighbor in neighbors:8 a9 J' u% C$ u* N; L0 E
neighbor_user_id=neighbor[1]
. z- F6 P( {4 W5 m& S) B9 \% i9 X \ movies=test_dic[neighbor_user_id]
7 S( z: O- v1 O+ L& \, x( r# a for movie in movies:; a6 B& @: l( p) K
#print movie
& s5 Q/ Q: P$ E4 V1 w7 `* U- O3 T if movie[0] not in recommend_dic:
@5 E+ b. t$ Z8 I+ j recommend_dic[movie[0]]=neighbor[0]$ Z# D8 P9 q# c( A
else:$ y% [2 f- Q6 t o
recommend_dic[movie[0]]+=neighbor[0]5 K s0 r" ^" @: `1 L |
#print len(recommend_dic)9 f1 r- \) x) y- J( u! Y0 \
1 H! }6 X9 d7 r/ H6 J
#建立推荐列表) w+ C# N" T) w* s
recommend_list=[]& r+ I* C( X" F6 f7 M9 l
for key in recommend_dic:
# [, e8 m8 k9 C #print key. H1 @* v' A( n+ I3 V5 C3 Z; B
recommend_list.append([recommend_dic[key],key])
0 T0 \1 i. x/ [6 K( C& W2 G1 n # p$ ]; f8 T( _# j3 {0 M' m5 l4 u4 T
}- Y" B+ @ @
recommend_list.sort(reverse=True)
3 g+ a8 |. Q4 W# D% K3 f #print recommend_list4 Q6 D+ x w9 k
user_movies = [ i[0] for i in test_dic[userid]]
) w6 p3 V& K( h1 i3 E0 ^5 V1 `7 r# \$ |% u8 j( C* ?( F7 s
return [i[1] for i in recommend_list],user_movies,test_item_to_user,neighbors
! D$ Z0 R/ d# Y6 `
& z: A R# M/ x3 H' Z5 i' Z / W( P6 H4 s: H' c. R2 }8 I$ ^1 B
- B9 r# _. \. y5 m: Y2 ]#% h0 S" C3 b, O& ?0 x
#- ]8 P% D' e+ X
# 获取电影的列表% d+ s4 v3 E% C8 \7 @8 e3 `# c
#
2 t' D: O* Y7 p) P2 [. g#* N/ `9 ~& k9 o4 p
#
) i) `# f4 \; X. `# ]' udef getMoviesList(file_name):
, f1 N' k# h# M+ ^4 w #print sys.getdefaultencoding()
- W4 H% O; p* N0 H* W7 m movies_contents=readFile(file_name)
* @' k6 `4 `1 Z- j1 a. F5 W0 X movies_info={}& {, x/ ?8 |- l# l: x
for movie in movies_contents:# g$ _) N! j- ^& ~7 F
movie_info=movie.split("|")0 q; X1 z! N7 W. _& ]( e2 V: w
movies_info[int(movie_info[0])]=movie_info[1:]
8 y9 _! o8 k" Z0 N5 \7 G! \. | return movies_info
( k4 u. M0 s, E% u
- _" ?! R! T. w3 X0 g, Y# _
' T# y; M% g, G2 { ( ]% N1 X1 |8 m8 A0 q
#主程序
0 Q9 s) s/ F# g) k2 n6 J#输入 : 测试数据集合
( Y! V( m. b6 [- ?# [if __name__ == '__main__':$ o0 J/ O3 R+ j4 t( x! r7 ?5 w* `7 _# M
reload(sys) q5 @" b$ g( [6 O
sys.setdefaultencoding('utf-8')9 b# ~- n0 ?9 O; y; u
movies=getMoviesList("/Users/wuyinghao/Downloads/ml-100k/u.item")
, \! {; R" c+ C! ?( b3 S recommend_list,user_movie,items_movie,neighbors=recommendByUserFC("/Users/wuyinghao/Downloads/ml-100k/u.data",179,80)
+ y- g+ U$ {' n" y: v9 A3 A1 a neighbors_id=[ i[1] for i in neighbors]
3 m+ o2 k; v" w table = Texttable()
0 W4 R! H- O+ y: U- l# u* O) G: y table.set_deco(Texttable.HEADER)
+ y& O7 q7 w$ C table.set_cols_dtype(['t', # text " G: {. }. f; r) W" ~. e
't', # float (decimal)- V; W3 r# P' _, s a2 V
't']) # automatic4 @$ t% Z0 I+ z8 g
table.set_cols_align(["l", "l", "l"])/ ~# k1 M. a9 {7 }% t3 |
rows=[]1 l1 r* C! n5 r9 u
rows.append([u"movie name",u"release", u"from userid"])' }2 |% y, F8 |5 b
for movie_id in recommend_list[:20]:
; G6 O4 N; |* \/ e from_user=[]- \( f0 w# P/ y6 C, A3 T+ O6 B7 ]8 {
for user_id in items_movie[movie_id]: ~. L* R* a# N2 Q1 V: A3 b2 a# u" V/ ~
if user_id in neighbors_id:; {3 I% a2 Q4 K5 e5 R
from_user.append(user_id)" Y/ G2 A2 T# E
rows.append([movies[movie_id][0],movies[movie_id][1],""])
7 [5 |3 x' D8 O4 V6 c9 v table.add_rows(rows) D0 w: G) T% U) Q# M$ `
print table.draw() |
|