CN104935963B - A kind of video recommendation method based on timing driving - Google Patents

A kind of video recommendation method based on timing driving Download PDF

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CN104935963B
CN104935963B CN201510290170.2A CN201510290170A CN104935963B CN 104935963 B CN104935963 B CN 104935963B CN 201510290170 A CN201510290170 A CN 201510290170A CN 104935963 B CN104935963 B CN 104935963B
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user
mrow
interest
project
video
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CN104935963A (en
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杨凡
牛温佳
胡玥
毛志
张博
敖吉
谭建龙
郭莉
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Institute of Information Engineering of CAS
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N21/00Selective content distribution, e.g. interactive television or video on demand [VOD]
    • H04N21/20Servers specifically adapted for the distribution of content, e.g. VOD servers; Operations thereof
    • H04N21/25Management operations performed by the server for facilitating the content distribution or administrating data related to end-users or client devices, e.g. end-user or client device authentication, learning user preferences for recommending movies
    • H04N21/258Client or end-user data management, e.g. managing client capabilities, user preferences or demographics, processing of multiple end-users preferences to derive collaborative data
    • H04N21/25866Management of end-user data
    • H04N21/25891Management of end-user data being end-user preferences
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N21/00Selective content distribution, e.g. interactive television or video on demand [VOD]
    • H04N21/40Client devices specifically adapted for the reception of or interaction with content, e.g. set-top-box [STB]; Operations thereof
    • H04N21/45Management operations performed by the client for facilitating the reception of or the interaction with the content or administrating data related to the end-user or to the client device itself, e.g. learning user preferences for recommending movies, resolving scheduling conflicts
    • H04N21/466Learning process for intelligent management, e.g. learning user preferences for recommending movies
    • H04N21/4667Processing of monitored end-user data, e.g. trend analysis based on the log file of viewer selections
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N21/00Selective content distribution, e.g. interactive television or video on demand [VOD]
    • H04N21/40Client devices specifically adapted for the reception of or interaction with content, e.g. set-top-box [STB]; Operations thereof
    • H04N21/45Management operations performed by the client for facilitating the reception of or the interaction with the content or administrating data related to the end-user or to the client device itself, e.g. learning user preferences for recommending movies, resolving scheduling conflicts
    • H04N21/466Learning process for intelligent management, e.g. learning user preferences for recommending movies
    • H04N21/4668Learning process for intelligent management, e.g. learning user preferences for recommending movies for recommending content, e.g. movies

Abstract

The present invention relates to a kind of video recommendation method based on timing driving.This method includes:1) the interest graded by third party's data analysis user to video, and user interest gradient curve is obtained, the time point that the singular point of user interest gradient curve is migrated as user interest;2) the nearest interest transit time point of user is determined, the later user items scoring of the interest transit time point nearest to user is acquired, so as to establish the user items rating matrix for meeting user's current interest in seclected time window;3) the user items rating matrix is based on, the individualized video that user is carried out by using random walk model is recommended.The present invention considers the interest migration problem during individualized video is recommended, and has merged time window method and the trust metric model progress individualized video recommendation based on Random Walker, improves the accuracy and efficiency of video recommendations.

Description

A kind of video recommendation method based on timing driving
Technical field
The invention belongs to video technique, video recommendations technical field, and in particular to a kind of regarding based on timing driving Frequency recommends method.
Background technology
With the development of the communication technology, network availability bandwidth increases sharply, and viewing video is even mobile whole for pc user End subscriber has all been a lax usual thing, and this also brings the development like a raging fire of internet video industry, and video pushes away The system of recommending is the important component in internet video service.Initial video recommendation system is according to the similitude between film Recommended, identical recommendation results can be provided for two users for watching same portion's film.But recently as individual character Change successful application of the recommendation method on search engine and shopping website, video recommendations field is also increasingly paid attention to special for user The individualized video of sign is recommended.Individualized video is recommended to consider the viewing history, social networks and currently playing shadow of user The information such as piece, recommend the possible film interested of the user.It is contemplated that personalized recommendation method will also possess in video field Wide application prospect and considerable profit are expected.
Individualized video recommends method to be roughly divided into content filtering method (Content-based Recommendation) With collaborative filtering method (Collaborative Filtering Recommendation) two classes.Content filtering method according to The film information that family is liked, other similar in terms of content videos, such as party A-subscriber are recommended to like to user《Bullet is allowed to fly》, that Content filtering system can recommend Jiang Wen as director other works such as《It is one step away》.Content filtering method as can be seen here Essence be calculate film similarity, generally, content filtering method first define a series of labels be used for characterize one regard Frequency feature and user preferences, so as to which video similarity problem is converted into vector distance computational problem.Collaborative filtering method utilizes User calculates user's similitude or item similarity to the history score data of project, and then is recommended according to similitude. Collaborative filtering method records scoring of all users to all items, forms user-project rating matrix of a M*N dimension, its Middle M is number of users, and N is item number, a unit R in matrixm,nScorings of the user m to project n is represented, per a line in matrix A user vector is represented, the similarity between user vector, namely the phase between user can be obtained by similarity calculating method Like degree;Each row in matrix represent a project, it is same can obtain project with similarity calculating method between similarity. According to the similarity between user, the user project for recommending the user for there are similar interests with him to be liked can be given, it is this to push away Recommend and be called the collaborative filtering (UserCF) based on user;According to the similarity between project, a user can to recommend to like with him The similar project of joyous project, this recommendation are called project-based collaborative filtering (ItemCF).
No matter information filtering algorithm or collaborative filtering, be all the angle from user interest, for user recommend Its film that may like, but in actual life, what the interest of user often gradually changed over time, this phenomenon It is called interest migration.If to user do not account for the interest migration of user during individualized video recommendation, just mean The system of wearing may only recommend the film liked before him to user, but the interest nearest with it is not inconsistent, and this reduces recommendation Accuracy.
The content of the invention
The present invention is directed to the user interest migration problem in individualized video commending system, there is provided one kind is based on time series data The video recommendation method of excavation, it is possible to increase the accuracy and efficiency of video recommendations.
The technical solution adopted by the present invention is as follows:
A kind of video recommendation method based on timing driving, its step include:
1) the interest graded by third party's data analysis user to video, and user interest gradient curve is obtained, The time point that the singular point of user interest gradient curve is migrated as user interest;
2) the nearest interest transit time point of user is determined, the later user of the interest transit time point nearest to user- Project scoring is acquired, so as to establish the user for meeting user's current interest-project rating matrix in seclected time window;
3) user-project rating matrix is based on, the individualized video of user is carried out by using random walk model Recommend.
Further, step 1) third party's data are preferably bean cotyledon scoring, and the bean cotyledon by analyzing user, which scores, to be gone through History draws user interest gradient curve.
Further, the method that step 1) obtains the user interest gradient curve is:Each attribute of video is formed One attribute vector;At each time point, by each attribute of video, according to current time and before, the user of time scores Record is weighted, and obtains a user interest vector;It is emerging according to the sequence of user at user's multiple time points on a timeline Inclination amount, analyze the user interest gradient curve changed over time.Each attribute of the video includes:Title, performer, Director, age, brief introduction etc..
Further, the step 2) user-project scoring includes explicit scoring and implicit scores;The explicit scoring is When user watches video, user is to the scoring for the video progress being currently viewed;The implicit scores are record users Watch, redirect, collecting, sharing action, the fancy grade according to the different action prediction users of user to video.
Further, step 2) is by being quantified to user-project scoring and normalizing process, when obtaining interest migration Between later user-project rating matrix, every a line in matrix represents a user characteristics, and each row represent a project spy Sign.
Further, step 3) calculates user u according to user-project rating matrix first and is in project j's in kth step Transition probability, user u is then calculated to project j global probability, then calculates global probability of all users to all items, So as to obtain user-entry sorting matrixIndividualized video recommendation is carried out according to the matrix.
The present invention key point be:By third party's data to user modeling, user interest migration is found;By determining to use The nearest interest transit time point in family, establishes user-project rating matrix;Collaborative filtering is replaced by using random walk model Method carries out individualized video recommendation.
The present invention is directed to the user interest migration problem in individualized video commending system, is used using third party's data analysis Family interest graded, user interest transit time is found, so that it is determined that suitable training time window size;In time window It is interior, trust metric model is created based on Random Walker random algorithms, so as to realize that the individualized video for some user pushes away Recommend.This method considers the interest migration problem during individualized video is recommended, and has merged time window method and be based on Random Walker trust metric model carries out individualized video recommendation, improves the accuracy and efficiency of video recommendations.
Brief description of the drawings
Fig. 1 is the video recommendation method overview flow chart based on timing driving.
Fig. 2 is the user interest migration detection curve based on interest gradient analysis.
Embodiment
In order to facilitate the understanding of the purposes, features and advantages of the present invention, below by specific embodiment and Accompanying drawing, the present invention will be further described.
The present invention has found user interest migration using third party's data (for example being scored using bean cotyledon), when determining training data Between window size, so as to shield the influence of user interest migration, and then entered using the trust metric model based on Random Walker Row individualized video is recommended.Fig. 1 is the overview flow chart of the inventive method.
1. the user interest migration based on third party's data is found
As it was previously stated, usage time windowhood method of the present invention overcomes user interest migration influence to caused by recommendation results. The time window of fixed size is unable to the interest migration of accurate response user, therefore, in order to obtain suitable time window size, The present invention uses third party's data analysis user interest graded, estimating subscriber's interest transit time, so that it is determined that time window The size of mouth.
Recommended due to of the invention for video resource, and in the network environment of China, bean cotyledon scoring is undoubtedly It is best suitable for the third party website of objective evaluation user video interest.Therefore, the bean cotyledon scoring history of present invention analysis user, draws User interest gradient curve, and wherein nearest singular point is migrated to the mark originated as user's the last time interest, with this To determine the size of time window in video recommendations model.
1) bean cotyledon user data models
Bean cotyledon is that platform is shared and commented on to the film of largest domestic, and the registration amount more than ten million user causes bean cotyledon scoring to exist Video service industry enjoys very big influence power.User on bean cotyledon website scores using very full marks system, therefore eliminate number According to normalization process, directly history scoring record of the user on bean cotyledon can be brought as training data.
2) user interest models
In order to which film is described, the present invention using the title of film, performer, director, age, brief introduction etc. as one to Amount, a film is represented with the attribute vector.Such as in table 1 film a cans with [Name a, Actor a Actor b, Director a, 2014, Keyword a Keyword d] as attribute vector represent.
Scoring record of film is watched it according to some user, the attribute of each film can be added by scoring Power, so as to obtain the hobby characteristic vector of the user.For example certain user A watched 4 films altogether, respectively film a, film b, Film c, film d, and scorings of the A to four films records as shown in table 1.
The user's viewing history of table 1 and scoring record sheet
So, the interest vector can of the user is expressed as I (t)=[name a*9+name b*5+name c*9+ name d*9,actor a*24+actor b*9+actor c*14+actor d*18,director a*18+director b* 9+director c*9,2014*27+2010*5,keyword a*18+keyword b*9+keyword c*9+keyword e* 9+keyword f*9+keyword g*5+keyword h*5]=[name a, actor a, director a, 2014, Keyword a] (it is assumed that each single item only takes a value by weight sequencing in interest vector, weights identical takes a value at random).
Over time, the scoring record of user can be more and more, therefore at each time point, we can root Score and record according to current time and the before history of time, obtain a user interest vector, accordingly, we can be somebody's turn to do The interest vector at user's multiple time points on a timeline, each interest vector represent user and regarded in corresponding time point viewing The preference of frequency.
3) user interest migration is found
According to above-mentioned sequence of user interest vector, the user interest gradient changed over time can be analyzed, is looked for The time point migrated to the singular point of gradient curve as interest.The point is the mark of user interest migration, so as to be follow-up Collaborative filtering video recommendations algorithm provide time window size foundation.
Some time point t interest gradient calculation formula is:
D (t)=I (t)-I (t-1)
Wherein, D (t) is the user interest gradient of t;I (t) is the user interest vector of t;When I (t-1) is t Carve the user interest vector of previous moment.In order to facilitate calculating, it is specified that the rule in subtraction is, it is if identical subtract each other 0, it is 1 if difference is subtracted each other, the otherness between two vectors is embodied with this.Such as [name a, actor a, Director a, 2014, keyword a]-[name b, actor a, director c, 2014, keyword a]=[1,0, 1,0,0].As can be seen here, the modulus value of user interest gradient vector is bigger, and it is more obvious just to represent interests change.
Fig. 2 show interest gradient, and wherein transverse axis is the time, and the longitudinal axis is the modulus value of interest gradient.From the figure In it can be seen that, there occurs one respectively 2 months 2009, in December, 2009, in June, 2012 and in June, 2014 for the interest of user Secondary interest migration.
2. user-project rating matrix
Migrated according to above-mentioned interest and find result, it may be determined that the nearest interest transit time point of user.According to the time It is nonsensical that user items scoring record before point, which does video recommendations, because that does not meet the newest interest of user.Cause This present invention user later to interest transit time point-project scoring is acquired, and each user is best suited so as to obtain The user of current interest-project rating matrix.
1) user-project scoring collection
In video recommendation system, can there are explicit scoring and two kinds of users of implicit scores-project scoring acquisition mode.Its In, explicit scoring is when user watches video, it is allowed to which user is scored the video being currently viewed (generally 5 points Full marks or 10 points of full marks systems);Implicit scores are to record the viewing of user, the action such as redirect, collect, sharing, according to user's Fancy grade of the different action prediction users to the video.The user of the present invention-project scoring takes into account explicit scoring and implicitly commented It is divided to two kinds of scoring acquisition modes, so as to more all-sidedly and accurately react fancy grade of the user to each video.
2) user-project scoring normalization
In the present invention, explicit scoring refers to score made during user's viewing video watching film, for side Continue after an action of the bowels and calculate, all explicit scorings are normalized into full marks 1 divides.Implicit scores include the viewing of user, redirect, collect, dividing The action such as enjoy, assume that score value corresponding to the action of user is as shown in table 2 in the present invention.
The user concealed scoring of table 2 quantifies and normalization table
Action Share Collection Watch and watch ending Watch and redirect halfway
Scoring 10 9 8 5
Normalization scoring 1 0.9 0.8 0.5
By above-mentioned quantization and normalization process, the later user of interest transit time-project rating matrix can be obtained, Every a line in matrix represents a user characteristics, and each row represent an item characteristic.
3. the video recommendations based on trust metric model
As it was previously stated, according to the scoring of each user and viewing behavior, can obtain user to the explicit of film or Implicit marking, so as to build user-project matrix in seclected time window.In general, user-project matrix is sparse square Battle array, in order to solve the problems, such as that user-project matrix is openness, the present invention is entered using random walk model instead of collaborative filtering method Row individualized video is recommended.
1) Random Walker algorithms
Random Walker algorithms use Markov model, the migration since a point, until complete collection of traversal Close., all can be with probability 1-Pr (X in any one pointu,k+1|Xu,k) migration is to some neighbor node, with probability P r (Xu,k+1| Xu,k) any point (including itself) in random skip to set.A migration is often carried out, reaches the probability of some node only By being currently located Determines.Wherein, Pr (Xu,k+1|Xu,k) be random walk transition probability parameter, Xu,k+1Represent in u situations Under, the state at k+1 time points;Xu,kRepresent in the case of u, the state at k time points.
The migration each time of random walk can obtain a probability distribution, and the distribution features each point quilt in set The probability having access to.The process of whole random walk is exactly by the use of above-mentioned probability distribution as the input of next migration and iterated Process, when meeting certain condition, the distribution probability can tend to restrain, so as to obtain a stable probability distribution.At random Migration model is used widely in fields such as data minings, for example classical PageRank algorithms are exactly one of random walk Example.
2) individualized video based on random walk model is recommended
Assuming that I represents the Item Sets of video presentation in individualized video commending system, m is the size of Item Sets, then can be with Obtain the oriented weighted graph of m node, way interior joint nodeiRepresent project i, side edgei,jWeight Pi,jRepresent from project i It is transferred to project j probability Pi,j=Pr (Xu,k+1=j | Xu,k=i)
According to above-mentioned transition probability, the item advance probability matrix P of a m*m rank can be obtained, each row generation in matrix Table is from m item advance to project j transition probability vector.If U represents user's collection of commending system, n is the scale of user's collection, Initial user-project rating matrix R of n*m ranks, each of which row generation can be so established according to the history of user scoring record The scoring vector of table user, each element RuiHistory score datas of the user u to project i is represented, sets Rui=Pr (Xu,0= i).User u then can be calculated in transition probability of the kth step in project j according to user-project rating matrix:
The α factors are the probability that user continues next step under current state in above formula, and the parameter can control The step-length of random walk, rule of thumb, the numerical value should increase with the reduction of training set ratio.It can thus be concluded that u couples of user Project j global probability:
Wherein c represents constant, and global probability of all users to all items can be calculated according to above formula, so as to To user-entry sorting matrix
Interest level of the user to any one project can be estimated by the matrix, so as to recommend for individualized video Reference frame is provided.
The above embodiments are merely illustrative of the technical solutions of the present invention rather than is limited, the ordinary skill of this area Technical scheme can be modified by personnel or equivalent substitution, without departing from the spirit and scope of the present invention, this The protection domain of invention should be to be defined described in claims.

Claims (7)

1. a kind of video recommendation method based on timing driving, its step include:
1) the interest graded by third party's data analysis user to video, and user interest gradient curve is obtained, it will use The time point that the singular point of family interest gradient curve migrates as user interest;
Obtaining the method for the user interest gradient curve is:Each attribute of video is formed into an attribute vector;Each At time point, by each attribute of video, according to current time and before, user's scoring record of time is weighted, and obtains one Individual user interest vector;According to the sequence of user interest vector at user's multiple time points on a timeline, analysis obtains at any time Between the user interest gradient curve that changes;The transverse axis of the user interest gradient curve is the time, and the longitudinal axis is the mould of interest gradient Value;
The calculation formula of some time point t interest gradient is:
D (t)=I (t)-I (t-1),
Wherein, D (t) is the user interest gradient of t;I (t) is the user interest vector of t;I (t-1) is before t The user interest vector at one moment;Rule in regulation subtraction is, is 0 if identical subtract each other, if difference is subtracted each other For 1;
2) the nearest interest transit time point of user, the later user-project of the interest transit time point nearest to user are determined Scoring is acquired, so as to establish the user for meeting user's current interest-project rating matrix in seclected time window;It is described After time window is the nearest interest transit time point of user;
3) user-project rating matrix is based on, the individualized video that user is carried out using random walk model is recommended.
2. the method as described in claim 1, it is characterised in that:Step 1) third party's data score for bean cotyledon, by dividing The bean cotyledon scoring history for analysing user draws user interest gradient curve.
3. the method as described in claim 1, it is characterised in that each attribute of the video includes:Title, performer, director, Age and brief introduction.
4. method as claimed in claim 1 or 2, it is characterised in that the step 2) user-project scoring includes explicit scoring And implicit scores;The explicit scoring is the scoring that user is carried out to the video being currently viewed when user watches video; The implicit scores are to record the viewing of user, redirect, collect, sharing action, according to the different action prediction users couple of user The fancy grade of video.
5. method as claimed in claim 4, it is characterised in that step 2) is by being quantified and being returned to user-project scoring One changes process, obtains the later user of interest transit time-project rating matrix, and every a line in matrix represents a user spy Sign, each row represent an item characteristic.
6. method as claimed in claim 1 or 2, it is characterised in that step 3) calculates according to user-project rating matrix first Go out the transition probability that user u is in project j in kth step, then calculate global probability of the user u to project j, then calculate all User is to the global probability of all items, so as to obtain user-entry sorting matrixAnd personalization is carried out according to the matrix and regarded Frequency is recommended.
7. method as claimed in claim 6, it is characterised in that the specific method of step 3) is:
Assuming that I represents the Item Sets of video presentation in individualized video commending system, m is the size of Item Sets, has obtained m first The oriented weighted graph of individual node, way interior joint nodeiRepresent project i, side edgei,jWeight Pi,jRepresentative is transferred to from project i Project j probability Pi,j=Pr (Xu,k+1=j | Xu,k=i);Wherein Xu,k+1Represent in user u in the state at k+1 time points, Xu,k Represent the state at k time points in user u;
According to above-mentioned transition probability, the item advance probability matrix P of a m*m rank is obtained, each row are represented from m item in matrix Mesh is transferred to project j transition probability vector;If U represents user's collection of commending system, n is the scale of user's collection, according to user History scoring record establish initial user-project rating matrix R of n*m ranks, each of which row represents the scoring vector of user, Each element RuiHistory score datas of the user u to project i is represented, sets Rui=Pr (Xu,0=i), wherein Xu,0Represent user u Init state, according to user-project rating matrix calculate user u kth step in project j transition probability:
<mrow> <mtable> <mtr> <mtd> <mrow> <mi>Pr</mi> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mrow> <mi>u</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>&amp;alpha;</mi> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <mi>Pr</mi> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mrow> <mi>u</mi> <mo>,</mo> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mi>i</mi> <mo>)</mo> </mrow> <msub> <mi>P</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>=</mo> <msup> <mi>&amp;alpha;</mi> <mi>k</mi> </msup> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msubsup> <mi>R</mi> <mrow> <mi>u</mi> <mi>i</mi> </mrow> <mo>*</mo> </msubsup> <msubsup> <mi>P</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> <mi>k</mi> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>=</mo> <msup> <mi>&amp;alpha;</mi> <mi>k</mi> </msup> <msubsup> <mover> <mi>R</mi> <mo>&amp;OverBar;</mo> </mover> <mrow> <mi>u</mi> <mo>.</mo> </mrow> <mo>*</mo> </msubsup> <mo>&amp;CenterDot;</mo> <msubsup> <mover> <mi>P</mi> <mo>&amp;OverBar;</mo> </mover> <mrow> <mo>-</mo> <mi>j</mi> </mrow> <mi>k</mi> </msubsup> </mrow> </mtd> </mtr> </mtable> <mo>,</mo> </mrow>
Wherein, the α factors are the probability that user continues next step under current state;It can thus be concluded that user u is to project j Global probability:
<mrow> <mi>Pr</mi> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mi>u</mi> </msub> <mo>=</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> </munder> <mi>Pr</mi> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mrow> <mi>u</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mi>j</mi> <mo>)</mo> </mrow> </mrow> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>x</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>&gt;</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <mi>Pr</mi> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mrow> <mi>u</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mi>i</mi> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>=</mo> <mi>c</mi> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>x</mi> </munderover> <msup> <mi>&amp;alpha;</mi> <mi>k</mi> </msup> <msubsup> <mover> <mi>R</mi> <mo>&amp;OverBar;</mo> </mover> <mrow> <mi>u</mi> <mo>-</mo> </mrow> <mo>*</mo> </msubsup> <mo>&amp;CenterDot;</mo> <msubsup> <mover> <mi>P</mi> <mo>&amp;OverBar;</mo> </mover> <mrow> <mo>-</mo> <mi>j</mi> </mrow> <mi>k</mi> </msubsup> <mo>,</mo> </mrow>
Wherein c represents constant, global probability of all users to all items is calculated according to above formula, so as to obtain user-project Ordinal matrix
<mrow> <mover> <mi>R</mi> <mo>~</mo> </mover> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>&amp;alpha;</mi> </munderover> <msup> <mi>&amp;alpha;</mi> <mi>k</mi> </msup> <msup> <mi>RP</mi> <mi>k</mi> </msup> <mo>=</mo> <mi>R</mi> <mi>&amp;alpha;</mi> <mi>P</mi> <msup> <mrow> <mo>(</mo> <mi>I</mi> <mo>-</mo> <mi>&amp;alpha;</mi> <mi>P</mi> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mo>,</mo> </mrow>
Interest level according to Matrix Estimation user to any one project, so as to realize that the individualized video of user pushes away Recommend.
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