CN110399549A - A kind of collaborative filtering method of user oriented interest reconciliation similarity - Google Patents

A kind of collaborative filtering method of user oriented interest reconciliation similarity Download PDF

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CN110399549A
CN110399549A CN201810371429.XA CN201810371429A CN110399549A CN 110399549 A CN110399549 A CN 110399549A CN 201810371429 A CN201810371429 A CN 201810371429A CN 110399549 A CN110399549 A CN 110399549A
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user
indicate
similarity
project
interest
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王建芳
谷振鹏
苗艳玲
韩鹏飞
张秋玲
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Henan University of Technology
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Abstract

The present invention relates to a kind of collaborative filtering methods of user oriented interest reconciliation similarity, this method comprises: by being decomposed to original rating matrix, time-based user interest degree weighting function is introduced into Pearson came similarity function, and the user's evaluation degree trust factor and user's evaluation deviation trust-factor combine to obtain user interest reconciliation similarity, recommendation results are obtained using original rating matrix and user interest reconciliation similarity, and meet the project of demand to user's recommendation.Not only the probability matrix decomposition method more traditional in the case where user's score data is sparse can significantly improve recommendation precision to method provided by the invention, but also can be recommended in different time sections interested article according to user.

Description

A kind of collaborative filtering method of user oriented interest reconciliation similarity
Technical field
The present invention relates to the recommendation fields of data mining, and in particular, to a kind of user oriented interest reconciles similarity Collaborative filtering method.
Background technique
As user's participation information produces, network information scale is in explosive growth.Massive information provides for information retrieval It is possible to simultaneously result in information overload.In order to mitigate above-mentioned contradiction, user is helped accurately to be quickly found out in mass data Its interested information, recommender system are come into being.
Collaborative filtering is common method in recommender system, in order to solve the problems, such as the sparsity in recommendation process, one As using the collaborative filtering recommending technology decomposed based on probability matrix, common thinking is to calculate user first like degree, is then determined Neighborhood, finally prediction scoring.As the development of recommended technology starts to occur to obtain higher-quality recommendation precision The trust of social networks is introduced into recommended technology.The key link of the technology be trust in similarity and social networks because The fusion of son.But the technology have ignored with time change and the interest of user also the problem of constantly changing, thus Interests change, the timeliness that user cannot be reacted in time are insufficient, to cause the problem for recommending precision not high.
Therefore, existing recommended technology could be improved and develop.
Summary of the invention
In view of above-mentioned deficiencies of the prior art, the invention proposes a kind of collaborations of user oriented interest reconciliation similarity Filtering method, specifically, method includes the following steps:
(1) original rating matrix R is obtained using user's score data and probability matrix decomposition is carried out to it, obtain approximate scoring square Battle array
(2) original rating matrix R and approximate rating matrix are traversedIt is similar to obtain the Pearson came to score based on user's common interest DegreeSim fill_t_peirson
(3) it traverses original rating matrix R and obtains the user's evaluation degree trust factorN i
(4) it traverses original rating matrix R and obtains user's evaluation deviation trust-factor D i
(5) amendment user interest similarity is utilizedsim fill_t_pearson , the user's evaluation degree trust factorN i It is inclined with user's evaluation Poor trust-factor D i , calculate user interest reconciliation similaritysim t
(6) recommendation results are calculated using original rating matrix and user interest reconciliation similarity matrix, forms recommendation list and carries out Recommend.
The collaborative filtering method of a kind of user oriented interest reconciliation similarity provided by the invention, first to original scoring square Battle array carries out probability matrix and decomposes to obtain approximate rating matrix, and time-based user interest degree weighting function is then introduced into skin User interest similarity is obtained in your inferior similarity function, user's evaluation grade is then obtained by the trusting relationship of original matrix Trust-factor and user's evaluation deviation trust-factor further utilize amendment user interest similarity, user's evaluation degree trust The factor and user's evaluation deviation trust-factor calculate user interest reconciliation similarity, ultimately form recommendation list and recommended. Compared with traditional collaborative filtering decomposed based on probability matrix, the letter between user is not only being used in recommendation process The relationship of appointing, and the time-based interest-degree function of user is added in collaborative filtering, it can accomplish to be existed according to user The different time sections more accurately potential interested article of recommended user.
Detailed description of the invention
Fig. 1 is a kind of collaborative filtering method flow chart of user oriented interest reconciliation similarity.
Specific embodiment
It is as shown in Figure 1 the collaborative filtering method of user interest reconciliation similarity, comprising the following steps:
(1) original rating matrix R is obtained using user's score data and probability matrix decomposition is carried out to it, obtain approximate scoring square Battle array
(2) original rating matrix R and approximate rating matrix are traversedIt is similar to obtain the Pearson came to score based on user's common interest DegreeSim fill_t_peirson
(3) it traverses original rating matrix R and obtains the user's evaluation degree trust factorN i
(4) it traverses original rating matrix R and obtains user's evaluation deviation trust-factor D i
(5) amendment user interest similarity is utilizedsim fill_t_pearson , the user's evaluation degree trust factorN i It is inclined with user's evaluation Poor trust-factor D i , calculate user interest reconciliation similaritysim t
(6) recommendation results are calculated using original rating matrix and user interest reconciliation similarity matrix, forms recommendation list and carries out Recommend.
The specific implementation details of each step are as follows:
In step (1), more specifically, indicate that consumer bought the matrix of article using matrix R, rating matrix R isiIt is a User couplejThe scoring of a project, every row indicate that the consumer record of a certain consumer, each column indicate different consumers to the commodity Scoring;Enable approximate rating matrix= U T V uses mean value for 0, and the Gaussian Profile that variance is 0.1 is initialized;Wherein U ∈ RkWith V ∈ RkRespectively indicate the hidden factor matrix of user and the hidden factor matrix of project, characteristic dimension k;
Step 1.1: establish approximate rating matrix loss function:
Wherein,iIndicate user,jExpression project;NIndicate useriNumber,MExpression projectjNumber;R ij For useriTo item MeshjScoring;U∈RkWith V ∈ RkRespectively indicate the hidden factor matrix of user and the hidden factor matrix of project, characteristic dimension k;I ij For UseriWhether to projectjIt scores, is otherwise 0 if scoring is 1;U i ForkIn the hidden factor matrix in Wesy familyiA user 'skPreference vector is tieed up,V j It indicateskIn the hidden factor matrix of dimension projectjA projectkTie up preference vector;U i T ForU i Transposition;λ u Withλ v For regularization factors;
Step 1.2: for each score dataR ij If loss function variation is greater than given threshold after iteration twice in succession 0.001, it is corresponding that iteration is updated using stochastic gradient descentU i WithV j Training parameter:
Wherein,nIndicate the number of iterations, α indicates Studying factors; U i n WithV j n Indicate thenIt is corresponding after secondary iterationU i WithV j To Amount,U i n+1 WithV j n+1 Indicate then+It is corresponding after 1 iterationU i WithV j Vector, initializationUWithVFor 0 matrix;Each iteration By current iterationU i n WithV j n Subtract partial derivative sum product be calculated it is newU i n+1 WithV j n+1 Vector;It is lost after iteration Function variation is less than threshold value or the number of iterationsnGreater than 10000;
Step 1.3: using the result of last time iteration as finalUWithV, pass through= U T User is calculated in ViTo projectjApproximate rating matrix
In step (2), more specifically include:
Step 2.1: utilizing original rating matrixRCalculate Pearson came similaritysim pearson :
Whereinsim pearson (i,b)Indicate Pearson came similaritysim pearson Middle different useriAnd userbSimilarity;PTable Show the set of all users in original matrix R,jExpression project;R i,j Indicate useriTo projectjScore value,R b,j Indicate userbTo projectjScore value;WithRespectively indicate useriScoring mean value and userbScoring mean value;
Step 2.2: decaying exponential function is defined according to forgetting curve and obtains time-based user interest weighting function:
Wherein,w t Indicate time-based user interest weight,t i,j Indicate useriTo projectjThe scoring time,t 0 Indicate mesh The sampling time of user is marked,TIndicate the time span (time started end time -) of entire data set;
Step 2.3: the time-based user interest weighting function of step 2.2 is introduced into the Pearson came similarity of step 2.1sim pearson In calculation formula, it is calculated and improves Pearson came similarity:
Wherein,sim pearson (i,b)Indicate different useriAnd userbBetween Pearson came similarity;
Step 2.4: utilizing original rating matrixRCalculate useriAnd userbBetween the project set that needs to fill:
Wherein P ib Indicate useriScore vector and userbThe union of scoring vector, useriAnd userbIt is indicated in data set Different users, P i And P b Indicate useriAnd userbScoring vector;Indicate useriOr userbThe project evaluated User in setiThe project set that do not evaluate,Indicate userbOr useriUser in the project set evaluatedbNot yet There is the project set of evaluation;
Step 2.5: using user's scoring vector after filling, calculating useriAnd userbCommon interest scoring Pearson came it is similar Degreesim fill_t_peirson :
Wherein,sim fill_t_peirson (i,b) indicate by the calculated user of institute after fillingiWith userbPearson came similarity;P ib Indicate useriAnd userbThe union of scoring item,WithIt respectively indicates towards the user after filling upiTo projectj Scoring and userbTo projectjScoring.
In step (3), more specifically, according to original rating matrixRCalculate the user's evaluation degree trust factorN i :
Wherein, num(i)Indicate original rating matrixRMiddle useriThe item number evaluated,Indicate original Rating matrixRIn all user's evaluations cross the mean value of item number.
In step (4), more specifically, according to original rating matrixRCalculate user's evaluation deviation trust-factorD i :
Wherein,d i,j Indicate useriTo projectjEffort analysis, if deviation be greater than ε if be 1, be otherwise 0;r i,j Indicate original Rating matrixRMiddle useriTo projectjScore value,Indicate useriScoring mean value;ε is deviation threshold, is set as 0.5;d i Indicate useriOwn in the project set evaluatedd i,j The sum of;D i Indicate useriEvaluation deviation factors,Q i Indicate useriIt comments The set for all items composition that valence is crossed.
In step (5), more specifically, utilizing the Pearson came similarity based on user interestsim fill_t_pearson , user Opinion rating trust-factorN i With user's evaluation deviation trust-factorD i Weighted calculation user interest reconciliation similarity:
Wherein,sim t (i,b)For useriAnd userbInterest reconcile similarity,βFor weight regulatory factor, and 0≤β≤1。
In step (6), more specifically include:
Step 6.1: for each target useru 0 To projectjScore in predictingr u0,j , traverse original rating matrixRIt finds to item MeshjThere is user's set of scoring behaviorU rated ;In conjunction withU rated With user interest reconciliation similarity matrixsim t , rightU rated Into Row descending arrangement, before takingkA user obtains and useru 0 NeighborhoodU neighbor
Step 6.2: according to original rating matrixR, the emerging reconciliation similarity of usersim t And neighborhoodU neighbor Calculate pre- assessment Point:
Wherein,r u0,j Indicate target useru 0 To projectjPrediction scoring,Indicate target useru 0 Scoring mean value;uTable Show the user in neighborhood,r u,j Indicate neighboursuTo projectjScore value,Indicate neighbor useruScoring mean value;U neighbor Indicate neighborhood,sim t (u 0, u) indicate target useru 0 And neighbor useruUser interest reconcile similarity;
Step 6.3: finally can form recommendation list according to the height of prediction scoring, recommend the project for meeting demand to user.
The collaborative filtering method of a kind of user oriented interest reconciliation similarity provided by the invention, first to original scoring square Battle array carries out probability matrix and decomposes to obtain approximate rating matrix, and time-based user interest degree weighting function is then introduced into skin User interest similarity is obtained in your inferior similarity function, user's evaluation grade is then obtained by the trusting relationship of original matrix Trust-factor and user's evaluation deviation trust-factor further utilize amendment user interest similarity, user's evaluation degree trust The factor and user's evaluation deviation trust-factor calculate user interest reconciliation similarity, ultimately form recommendation list and recommended. Compared with traditional collaborative filtering decomposed based on probability matrix, the letter between user is not only being used in recommendation process The relationship of appointing, and the time-based interest-degree function of user is added in collaborative filtering, it can accomplish to be existed according to user The different time sections more accurately potential interested article of recommended user.

Claims (7)

1. a kind of collaborative filtering method of user oriented interest reconciliation similarity, which is characterized in that method includes the following steps:
(1) original rating matrix R is obtained using user's score data and probability matrix decomposition is carried out to it, obtain approximate scoring square Battle array
(2) original rating matrix R and approximate rating matrix are traversedIt is similar to obtain the Pearson came to score based on user's common interest DegreeSim fill_t_peirson
(3) it traverses original rating matrix R and obtains the user's evaluation degree trust factorN i
(4) it traverses original rating matrix R and obtains user's evaluation deviation trust-factor D i
(5) amendment user interest similarity is utilizedsim fill_t_pearson , the user's evaluation degree trust factorN i It is inclined with user's evaluation Poor trust-factor D i , calculate user interest reconciliation similaritysim t
(6) recommendation results are calculated using original rating matrix and user interest reconciliation similarity matrix, forms recommendation list and carries out Recommend.
2. a kind of collaborative filtering method of user oriented interest reconciliation similarity according to claim 1, which is characterized in that described Step (1) specifically includes:
Step 1.1: establish approximate rating matrix loss function:
Wherein,iIndicate user,jExpression project;NIndicate useriNumber,MExpression projectjNumber;R ij For useriTo item MeshjScoring;U∈RkWith V ∈ RkRespectively indicate the hidden factor matrix of user and the hidden factor matrix of project, characteristic dimension k;I ij For UseriWhether to projectjIt scores, is otherwise 0 if scoring is 1;U i ForkIn the hidden factor matrix in Wesy familyiA user 'skPreference vector is tieed up,V j It indicateskIn the hidden factor matrix of dimension projectjA projectkTie up preference vector;U i T ForU i Transposition;λ u Withλ v For regularization factors;
Step 1.2: for each score dataR ij If loss function variation is greater than given threshold after iteration twice in succession 0.001, it is corresponding that iteration is updated using stochastic gradient descentU i WithV j Training parameter:
Wherein,nIndicate the number of iterations, α indicates Studying factors; U i n WithV j n Indicate thenIt is corresponding after secondary iterationU i WithV j To Amount,U i n+1 WithV j n+1 Indicate then+It is corresponding after 1 iterationU i WithV j Vector, initializationUWithVFor 0 matrix;Each iteration By current iterationU i n WithV j n Subtract partial derivative sum product be calculated it is newU i n+1 WithV j n+1 Vector;It is lost after iteration Function variation is less than threshold value or the number of iterationsnGreater than 10000;
Step 1.3: using the result of last time iteration as finalUWithV, pass through= U T User is calculated in ViTo projectjApproximate rating matrix
3. a kind of collaborative filtering method of user oriented interest reconciliation similarity according to claim 1, which is characterized in that described Step (2) specifically includes:
Step 2.1: utilizing original rating matrixRCalculate Pearson came similaritysim pearson :
Whereinsim pearson (i,b)Indicate Pearson came similaritysim pearson Middle different useriAnd userbSimilarity;PIt indicates The set of all users in original matrix R,jExpression project;R i,j Indicate useriTo projectjScore value,R b,j Indicate userb To projectjScore value;WithRespectively indicate useriScoring mean value and userbScoring mean value;
Step 2.2: decaying exponential function is defined according to forgetting curve and obtains time-based user interest weighting function:
Wherein,w t Indicate time-based user interest weight,t i,j Indicate useriTo projectjThe scoring time,t 0 Indicate target The sampling time of user,TIndicate the time span (time started end time -) of entire data set;
Step 2.3: the time-based user interest weighting function of step 2.2 is introduced into the Pearson came similarity of step 2.1sim pearson In calculation formula, it is calculated and improves Pearson came similarity:
Wherein,sim pearson (i,b)Indicate different useriAnd userbBetween Pearson came similarity;
Step 2.4: utilizing original rating matrixRCalculate useriAnd userbBetween the project set that needs to fill:
Wherein P ib Indicate useriScore vector and userbThe union of scoring vector, useriAnd userbIt is indicated in data set Different users, P i And P b Indicate useriAnd userbScoring vector;Indicate useriOr userbThe project evaluated User in setiThe project set that do not evaluate,Indicate userbOr useriUser in the project set evaluatedbNot yet There is the project set of evaluation;
Step 2.5: using user's scoring vector after filling, calculating useriAnd userbCommon interest scoring Pearson came it is similar Degreesim fill_t_peirson :
Wherein,sim fill_t_peirson (i,b) indicate by the calculated user of institute after fillingiWith userbPearson came similarity;P ib Indicate useriAnd userbThe union of scoring item,WithIt respectively indicates towards the user after filling upiTo projectj Scoring and userbTo projectjScoring.
4. a kind of collaborative filtering method of user oriented interest reconciliation similarity according to claim 1, which is characterized in that in step Suddenly in (3), according to original rating matrixRCalculate the user's evaluation degree trust factorN i :
Wherein, num(i)Indicate original rating matrixRMiddle useriThe item number evaluated,Indicate original Rating matrixRIn all user's evaluations cross the mean value of item number.
5. a kind of collaborative filtering method of user oriented interest reconciliation similarity according to claim 1, which is characterized in that in step Suddenly in (4), according to original rating matrixRCalculate user's evaluation deviation trust-factorD i :
Wherein,d i,j Indicate useriTo projectjEffort analysis, if deviation be greater than ε if be 1, be otherwise 0;r i,j Indicate original Rating matrixRMiddle useriTo projectjScore value,Indicate useriScoring mean value;ε is deviation threshold, is set as 0.5;d i Indicate useriOwn in the project set evaluatedd i,j The sum of;D i Indicate useriEvaluation deviation factors,Q i Indicate useriIt comments The set for all items composition that valence is crossed.
6. a kind of collaborative filtering method of user oriented interest reconciliation similarity according to claim 1, which is characterized in that in step Suddenly in (5), the Pearson came similarity based on user interest is utilizedsim fill_t_pearson , the user's evaluation degree trust factorN i With with Evaluate deviation trust-factor in familyD i Weighted calculation user interest reconciliation similarity:
Wherein,sim t (i,b)For useriAnd userbInterest reconcile similarity,βFor weight regulatory factor, and 0≤β≤1。
7. a kind of collaborative filtering method of user oriented interest reconciliation similarity according to claim 1, which is characterized in that in step Suddenly in (6), according to original rating matrixR, the emerging reconciliation similarity of usersim t And neighborhoodU neighbor Calculate prediction scoring:
Wherein,r u0,j Indicate target useru 0 To projectjPrediction scoring,Indicate target useru 0 Scoring mean value;uIt indicates User in neighborhood,r u,j Indicate neighboursuTo projectjScore value,Indicate neighbor useruScoring mean value;U neighbor Indicate neighborhood,sim t (u 0, u) indicate target useru 0 And neighbor useruUser interest reconcile similarity.
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Application publication date: 20191101