CN105138653B - It is a kind of that method and its recommendation apparatus are recommended based on typical degree and the topic of difficulty - Google Patents

It is a kind of that method and its recommendation apparatus are recommended based on typical degree and the topic of difficulty Download PDF

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CN105138653B
CN105138653B CN201510540419.0A CN201510540419A CN105138653B CN 105138653 B CN105138653 B CN 105138653B CN 201510540419 A CN201510540419 A CN 201510540419A CN 105138653 B CN105138653 B CN 105138653B
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于瑞国
刘志强
王建荣
喻梅
于健
赵满坤
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Tianjin University
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Abstract

The invention discloses a kind of based on typical degree and the topic of difficulty recommendation method, and method includes:It calculates each target user and does topic situation on each type topic, including:Percent of pass of quantity, difficulty and the target user of topic on this type topic;According to target user's feature vector, the similitude between arbitrary target user characteristics vector is calculated, and to each target user, select the highest user of several similarities as arest neighbors;Topic situation is done according to nearest neighbor, and prediction target user is not to doing the scoring of topic;To target user, recommendation results of several highest target topics of scoring as target user are selected.Device includes:Computing module, first choice module, grading module and the second selecting module, the present invention is realized has the characteristics that " difficulty " to improve conventional recommendation method using topic, obtains preferable effect.The present invention can be applied in study website in the future, and user is helped to select learning Content, formulate individualized learning scheme.

Description

It is a kind of that method and its recommendation apparatus are recommended based on typical degree and the topic of difficulty
Technical field
The present invention relates to data mining, machine learning and information retrieval fields, are related to the recommendation field of collaborative filtering, especially It is related to a kind of based on typical degree and the topic of difficulty recommendation method and its recommendation apparatus.
Background technology
Currently, having had the commending system and proposed algorithm of comparative maturity, the proposed algorithm of current main-stream is broadly divided into association Same filtered recommendation (collaborative filtering, CF), content-based recommendation (content based, CB) and mixing Recommendation method (hybrid methods).Mixing proposed algorithm integrates the above two, reaches better effect.
In content-based recommendation system, article can be described as a series of vector of attribute values, and describe article The attribute value of feature is referred to as " content ".Content-based recommendation system is exactly to find to use according to the scoring behavior of the history of user Family preference, and recommend the article close with its preference.This method is mainly used for the article for recommending to describe with text, than Such as:Documents and materials, news etc..
Collaborative filtering predicts user to unknown material by the similitude between similitude between user or article The scoring of product.The arest neighbors of similitude being referred to as based on user is recommended between Main Basiss user;Phase between Main Basiss article Recommend like the arest neighbors of degree being referred to as based on article.Collaborative filtering recommending method set up this assumes that user interest love It remains unchanged for a long period of time well.
Whether content-based recommendation system or traditional Collaborative Filtering Recommendation System, apply it to knowledge and push away There is its deficiency when recommending field.Content-based recommendation system is wanted accurately describe the feature of recommended article, and will It is mapped with user preference, when facing similar to the more fuzzy data of the such feature of topic, is just difficult to accurate description, with Cause to recommend inaccurate.Traditional collaborative filtering method does not need accurate description article, but needs a large amount of score data, when by its When being applied to recommendation knowledge, recommending topic this aspect, it is difficult to there is enough score datas.
Invention content
Recommend method and its recommendation apparatus, the present invention can based on typical degree and the topic of difficulty the present invention provides a kind of Effectively overcome conventional recommendation technology when being applied in knowledge recommendation, article characteristics are difficult to describe, score information is few and not fully Consider the technical matters of this important feature of item difficulty, it is described below:
It is a kind of to recommend method, the topic that method is recommended to include the following steps based on typical degree and the topic of difficulty:
It calculates each target user and does topic situation on each type topic, including:Quantity, difficulty and the mesh of topic Mark percent of pass of the user on this type topic;
According to target user's feature vector, the similitude between arbitrary target user characteristics vector is calculated, and to each mesh User is marked, selects the highest user of several similarities as arest neighbors;
Topic situation is done according to nearest neighbor, and prediction target user is not to doing the scoring of topic;
To target user, recommendation results of several highest target topics of scoring as target user are selected.
Wherein, the topic recommendation method further includes:
Debug or invalid data, then sort by submission time from small to large;
The user and topic that statistical data is related to form user's set and a topic set.
Wherein, target user's feature vector is specially:
< type1:typicality1,type2:typicality2,…,typei:typicalityi…,typen: typicalityn
Wherein, typeiRepresent topic types;typicalityiIt is target user in typeiTypical degree on type topic; I numbers for topic types;N is topic types sum.
A kind of topic recommendation apparatus based on typical degree and difficulty, the topic recommendation apparatus include:
Computing module does topic situation for calculating each target user on each type topic, including:The number of topic Amount, the percent of pass of difficulty and target user on this type topic;
First choice module, for according to target user's feature vector, calculating between arbitrary target user characteristics vector Similitude, and to each target user, select the highest user of several similarities as arest neighbors;
Grading module, for doing topic situation according to nearest neighbor, prediction target user is not to doing the scoring of topic;
Second selecting module, for target user, selecting several highest target topics of scoring as target user's Recommendation results.
Wherein, the topic recommendation apparatus further includes:
Preprocessing module is used for debug or invalid data, then sorts from small to large by submission time;Statistical number According to the user and topic being related to, user's set and a topic set are formed.
The advantageous effect of technical solution provided by the invention is:
1, the present invention provides new approaches for application of the commending system in user's learning process, in traditional user characteristics It is introduced in expression and does topic difficulty to represent its ability level, improve conventional recommendation method to a certain extent in topic recommendation Effect.
2, it is compared with the coordination filter method based on user, the present invention can preferably describe user characteristics, obtain more acurrate Topic recommendation results, can help user select learning Content, improve learning efficiency.
Description of the drawings
Fig. 1 is a kind of flow chart for recommending method based on typical degree and the topic of difficulty;
Fig. 2 is the influence schematic diagram that degree-of-difficulty factor introduces ratio;
Fig. 3 is the comparison schematic diagram of Distance conformability degree;
Fig. 4 is the comparison schematic diagram of cosine similarity;
Fig. 5 is a kind of structural schematic diagram of the topic recommendation apparatus based on typical degree and difficulty;
Fig. 6 is a kind of another structural schematic diagram of the topic recommendation apparatus based on typical degree and difficulty.
In attached drawing, parts list represented by the reference numerals are as follows:
1:Computing module; 2:First choice module;
3:Grading module; 4:Second selecting module;
5:Preprocessing module.
Specific implementation mode
To make the object, technical solutions and advantages of the present invention clearer, embodiment of the present invention is made below further It is described in detail on ground.For the convenience of description, the user that be recommended topic in the embodiment of the present invention is referred to as target user, title will be pushed away The entitled target topic together recommended.
Embodiment 1
Method is recommended based on typical degree and the topic of difficulty an embodiment of the present invention provides a kind of, referring to Fig. 1, which pushes away The method of recommending includes the following steps:
101:Preprocessed data;
The primary data of processing of the embodiment of the present invention is that user does the submission record inscribed.Debug or invalid (example first Such as:Lack critical data item) data, then sort from small to large by submission time.After completing above-mentioned steps, statistical data relates to And user and topic, form user set and a topic set.
102:Classify to topic set, calculation question purpose difficulty, to generate problem description;
In embodiments of the present invention, using the type label of topic (such as " Dynamic Programming ", " computational geometry ", " number of combinations Learn " ...) classify to topic set.In addition, also to calculate the difficulty of per pass topic.In embodiments of the present invention, topic Difficulty be described as being submitted the function of two factors of number and percent of pass, and the two factors can be by step 101 Obtained data statistics obtains.After known to the difficulty and type of topic, by per pass problem description at two tuples:<Type, Difficulty>.
103:It calculates each target user and does topic situation, that is, the number of done this type topic on each type topic Amount, the percent of pass of difficulty and the user on this type topic;
Topic situation is done according to above-mentioned, calculates typical degree of the target user on this type topic;Target user is each Typical degree on type topic forms the feature description (i.e. feature vector) of the target user:
< type1:typicality1,type2:typicality2,…,typei:typicalityi…,typen: typicalityn
Wherein, typeiRepresent topic types, typicalityiIt is the target user in typeiTypical case on type topic Degree, i number for topic types;N is topic types sum.
104:According to target user's feature vector, the similitude between arbitrary target user characteristics vector is calculated, and to every A target user selects the highest user of several similarities as its " arest neighbors ";
The user characteristics formed first with step 103 are vectorial, between calculating any two target user's feature vector Similarity, in this, as the similarity between two target users;Then to each target user, the highest use of several similarities is selected Family is as its " arest neighbors "." arest neighbors " herein, i.e. arest neighbors described in tradition collaborative filtering method, will be used as prediction The Main Basiss that target user scores to target topic.
105:Topic situation is done according to nearest neighbor, and prediction target user is not to doing the scoring of topic.
In embodiments of the present invention, for target topic and target user, the arest neighbors use for having done this target topic is calculated Amount mesh is normalized to [0,1] and is scored afterwards the prediction of this target topic as user.
106:To target user, select several highest target topics of scoring as the recommendation results to the target user.
The step 106 is according to step 105 and step 103.Target user does that the frequency inscribed is higher, recommends it number of topic Amount is more, and user does the frequency inscribed and obtained by step 103.It determines after recommending number, the pre- test and appraisal generated according to step 105 Point, select the topic of respective numbers best result as recommendation results.
The present invention is using the last submission time of user in experimental data as boundary, target user in a period of time after acquisition Topic situation is done, by comparing recommendation results with actually doing topic situation, evaluates the accuracy of recommendation.
In conclusion the embodiment of the present invention has fully considered this important spy of item difficulty by step 101- steps 106 Sign, improves conventional recommendation method, obtains preferable effect.
Embodiment 2
Technical solution in embodiment 1 is described in detail with reference to specific calculation formula, example, it is as detailed below:
201:Preprocessed data;
That is, some illegal data are excluded, such as:Some have lacked the data of critical data item;In addition, statistics is formed just The user's set and topic set of beginning, the data area handled with the clear embodiment of the present invention.
202:Classify to topic set, calculation question purpose difficulty;
In general, the topic done by more people is simpler, the higher topic of percent of pass is simpler, and both this compares, the former is heavier It wants, because some topic percent of pass are very high, but only one or two people submit, and this topic is often and remarkable.In addition to this, different It is variant between the topic of classification, such as:The topic of computational geometry class, since the size of code solved a problem is big, detailed problem is more, causes The percent of pass of such topic entirety is not high.The degree-of-difficulty factor of in summary these actual conditions, topic is calculated by formula (1).
Wherein, j is topic piAffiliated topic class number;mxSubjIt is to be submitted the most topic of number in j class topics Purpose submits number;mxAcjIt is the percent of pass of the highest topic of percent of pass in j class topics.subCntiAnd acRateiGeneration respectively Table title mesh piBe submitted number and percent of pass.The item difficulty coefficient calculated by above formula belongs to [0,1].
203:Calculate user characteristics vector;
Typical degree of the user characteristics vector, that is, user on every class topic.
Computational methods (Cai, Yi, Leung, Ho-fung, Li Q, et al.TyCo according to TyCo:Towards Typicality-based Collaborative Filtering Recommendation[C]//201022nd International Conference on Tools with Artificial IntelligenceIEEE Computer Society,2010:97-104), typical degree of the user in a kind of topic corresponds to user group depends on two factors, and one is User is to the average score of this type topic, the other is user does the frequent degree of this kind of topic.User comments such topic It is point higher, then it is interested in this kind of topic;It is more frequent that user does such topic, then interested in such topic.According to Upper two factors calculate separately out two values, and typical degree of the user in such topic corresponds to user group will be the flat of the two values Mean value.User uiTypical degree v in jth class topic corresponds to user groupI, jCalculation formula is as shown in Equation 2.
Wherein,It is user uiTo the average score of done jth class topic;Si,jIt is user uiDo the quantity of j class topics; Si,kFor user uiDo the quantity of k class topics;N is topic types sum.
In fact, in the application scenarios, user to per pass topic only by with not by two kinds as a result, passing through scoring It is 1, is otherwise 0;Therefore, average score R of the user to every class topici,jAll it is 1, the preference or energy of user can not be represented Power is horizontal.
The application scenarios of TyCo mainly predict that film scores, and (DF_TyCo) method master that the embodiment of the present invention proposes It is used for topic recommendation.Difficulty is an important feature specific to topic, the difficulty of the done topic of user, to a certain extent Represent the ability level of user.User typical case's degree calculation formula is as shown in Equation 3 in the embodiment of the present invention.
Wherein, n is topic classification sum;Di,jFor user uiDo the item difficulty summation of jth class topic;Si,jFor user ui Do the quantity of jth class topic;β is undetermined coefficient, is determined by experiment optimal value;Si,kFor user uiDo the number of kth class topic Amount;Di,kFor user uiDo the item difficulty summation of kth class topic.
Formula 2 eliminates average score factor compared with formula 3, increases item difficulty factor, is DF_TyCo opposite Recommend the improvement of application aspect in topic in TyCo.
204:Calculate user's similarity;
The step calculates the similarity between arbitrary two users using user characteristics vector.The embodiment of the present invention is adopted respectively With cosine similarity formula and Distance conformability degree formula, and pass through its effect of Experimental comparison.Two in calculating formula of similarity A input vector is the feature vector of two users respectively, i.e.,:WithWherein, vi,kFor user uiTypical degree on kth class topic;vj,kFor user ujIn kth Typical degree on class topic.After input vector determines, the specific calculating process of similarity is known to those skilled in the art, this Inventive embodiments do not repeat this.
205:Select arest neighbors;
After having found out the similarity between user, chooses several users most like with it for each user and form the use " arest neighbors " at family.The embodiment of the present invention is that each user chooses the similar users of fixed quantity as its arest neighbors.Arest neighbors User is excessive or the very few effect that can all influence to recommend, in the embodiment of the present invention by multiple contrast experiment select one it is optimal Value, the embodiment of the present invention are not limited the number of arest neighbors.
206:Predict that user scores to topic;
Target user calculates the scoring of target topic according to its arest neighbors.What the nearest neighbor of target user was done Topic, target user may also can do, and more similar user, and doing topic situation more has reference value.The embodiment of the present invention Think, arbitrary user it is submitted and by topic scoring be 1, the scoring of remaining topic is 0, then with nearest neighbor and Similarity between target user is weights, does weighted average, obtained result is prediction of the target user to target topic Scoring.
207:Topic is recommended in selection.
Herein there are two types of method, one is one threshold value of selection, target user is scored above the topic of threshold value as pushing away It recommends as a result, another kind is the topic for recommending fixed quantity for each target user.In the embodiment of the present invention, it is adopted as each target It is illustrated for the topic of user's recommendation fixed quantity.
By experimental data according to the time, it is divided into test set and training set, is generated using the data in training set and recommends knot Data comparison in fruit, with test set weighs the accuracy of recommendation.
In conclusion 201- steps 207 have the characteristics that " difficulty " embodiment of the present invention using topic through the above steps Conventional recommendation method is improved, obtains preferable effect.The embodiment of the present invention can be applied in study website in the future, help User selects learning Content, formulates personalized Learning Scheme.
Embodiment 3
Feasibility is carried out with reference to specific example, calculation formula, attached drawing to the technical solution in embodiment 1,2 to test Card, it is described below:
In experiment, the value of the number K of nearest neighbor is allowed to be respectively 5,10 ..., 70, observation experiment is as a result, to probe into K values Influence to experimental result;Under certain K values, changes user and do weight factor of the topic difficulty when describing user characteristics, see It examines experimental result and calculates its accuracy rate.
The present invention is using F values (F-measure) and user's accuracy rate (PU) come evaluation experimental result.For convenience, Claim " to user uxRecommend one of topic py" it is primary recommend.
If the recommendation sum generated is recomNum, the number accurately recommended is accuate, and all users do in test set Topic sum is realSum, then accuracy pred and recall rate recall computational methods respectively as formula (4), formula (5) are shown.
There is pred and recall that can calculate F values, shown in the computational methods such as formula (6) of F values.
Wherein, pred and recall reflects the quality of result in terms of two respectively, and F values are that the comprehensive of the two embodies, In experiment, F values are bigger, as a result better.
User's accuracy rate refers to the percentage that the target user that can be accurately recommended accounts for all target users.To each target User, which fixes, recommends 10 topics, if for some target user, at least one of topic is to recommend accurately, then claiming should Target user is accurately recommended.Shown in user's accuracy rate calculation formula such as formula (7):
Wherein, predUser is the number of users accurately recommended, and allUser is the total number of users being recommended.
As shown in Fig. 2, user characteristics are described as be in the typical degree on every a kind of topic.Introduce degree-of-difficulty factor, i.e., with The difficulty of the done topic in family is a part for user characteristics.Figure it is seen that experimental result can be improved by introducing difficulty, say It is bright in recommendation, introduce item difficulty, be reasonable.The experimental results showed that as weight factor from 0 gradually increases to 1.0, use The trend fallen after rising is presented in family accuracy rate, and especially when weight factor is 0.85 or so, i.e. user does topic difficulty and occupies family spy Sign 85%, remaining factor when accounting for 15% effect it is best, to prove under this application scenarios, introduce item difficulty, Neng Gougai The effect of kind conventional recommendation.
TyCo is introduced into commending system based on the collaborative filtering method of typical degree, and conventional recommendation can be improved The experimental result of method.In the embodiment of the present invention, on this basis, item difficulty is introduced, is further improved commending system Experimental result when being applied to during topic is recommended.
In fact, being compared with UBCF methods, TyCo introduces the concept of typical degree, improves traditional collaborative filtering side Method, and the embodiment of the present invention introduces item difficulty on the basis of TyCo, improves result again.Fig. 3 and Fig. 4 difference It illustrates under different calculating formula of similarity, the embodiment of the present invention and collaborative filtering method (TyCo) based on typical degree, The comparison of collaborative filtering method (UBCF) based on user, from figure, it can be seen that when K takes each value, this method () Better result can be obtained compared with other methods.It is both other to prove that this method is better than in accuracy.
Embodiment 4
A kind of topic recommendation apparatus based on typical degree and difficulty, referring to Fig. 5, which includes:
Computing module 1 does topic situation for calculating each target user on each type topic, including:Topic The percent of pass of quantity, difficulty and target user on this type topic;
First choice module 2, for according to target user's feature vector, calculating between arbitrary target user characteristics vector Similitude, and to each target user, select the highest user of several similarities as arest neighbors;
Grading module 3, for doing topic situation according to nearest neighbor, prediction target user is not to doing the scoring of topic;
Second selecting module 4, for target user, selecting several highest target topics of scoring as target user's Recommendation results.
Wherein, referring to Fig. 6, which further includes:
Preprocessing module 5 is used for debug or invalid data, then sorts from small to large by submission time;Statistics The user and topic that data are related to form user's set and a topic set.
The embodiment of the present invention, which is realized by above-mentioned module using topic, has the characteristics that " difficulty " to improve conventional recommendation Method obtains preferable effect.The embodiment of the present invention can be applied in study website in the future, and user is helped to select in study Hold, formulates personalized Learning Scheme.
To the model of each device in addition to doing specified otherwise, the model of other devices is not limited the embodiment of the present invention, As long as the device of above-mentioned function can be completed.
It will be appreciated by those skilled in the art that attached drawing is the schematic diagram of a preferred embodiment, the embodiments of the present invention Serial number is for illustration only, can not represent the quality of embodiment.
The foregoing is merely presently preferred embodiments of the present invention, is not intended to limit the invention, it is all the present invention spirit and Within principle, any modification, equivalent replacement, improvement and so on should all be included in the protection scope of the present invention.

Claims (4)

1. a kind of recommending method based on typical degree and the topic of difficulty, which is characterized in that it includes following that the topic, which recommends method, Step:
It calculates each target user and does topic situation on each type topic, including:Quantity, difficulty and the target of topic are used Percent of pass of the family on this type topic;
According to target user's feature vector, the similitude between arbitrary target user characteristics vector is calculated, and use each target Family selects the highest user of several similarities as arest neighbors;
Topic situation is done according to nearest neighbor, and prediction target user is not to doing the scoring of topic;
To target user, recommendation results of several highest target topics of scoring as target user are selected;
Wherein, target user's feature vector is specially:Typical degree of the target user on every class topic;
< type1:typicality1,type2:typicality2,…,typei:typicalityi…,typen: typicalityn
Wherein, typeiRepresent topic types;typicalityiIt is target user in typeiTypical degree on type topic;I is Topic types are numbered;N is topic types sum;
The specific calculating of above-mentioned typical case's degree is as follows:
Wherein, n is topic classification sum;Di,jFor user uiDo the item difficulty summation of jth class topic;Si,jFor user uiDo jth The quantity of class topic;β is undetermined coefficient, is determined by experiment optimal value;Si,kFor user uiDo the quantity of kth class topic;Di,k For user uiDo the item difficulty summation of kth class topic.
2. according to claim 1 a kind of based on typical degree and the topic of difficulty recommendation method, which is characterized in that the topic Mesh recommend method further include:
Debug or invalid data, then sort by submission time from small to large;
The user and topic that statistical data is related to form user's set and a topic set.
3. a kind of for recommending method based on typical degree and the topic of difficulty described in any claim in claim 1-2 Recommendation apparatus, which is characterized in that the recommendation apparatus includes:
Computing module does topic situation for calculating each target user on each type topic, including:The quantity of topic, The percent of pass of difficulty and target user on this type topic;
First choice module, it is similar between arbitrary target user characteristics vector for according to target user's feature vector, calculating Property, and to each target user, select the highest user of several similarities as arest neighbors;
Grading module, for doing topic situation according to nearest neighbor, prediction target user is not to doing the scoring of topic;
Second selecting module, for target user, selecting recommendation of several highest target topics of scoring as target user As a result.
4. recommendation apparatus according to claim 3, which is characterized in that the recommendation apparatus further includes:
Preprocessing module is used for debug or invalid data, then sorts from small to large by submission time;Statistical data relates to And user and topic, form user set and a topic set.
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