CN107273490A - A kind of combination mistake topic recommendation method of knowledge based collection of illustrative plates - Google Patents

A kind of combination mistake topic recommendation method of knowledge based collection of illustrative plates Download PDF

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CN107273490A
CN107273490A CN201710449002.2A CN201710449002A CN107273490A CN 107273490 A CN107273490 A CN 107273490A CN 201710449002 A CN201710449002 A CN 201710449002A CN 107273490 A CN107273490 A CN 107273490A
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examination question
mrow
knowledge
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杨涛
竹翠
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Beijing University of Technology
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Abstract

The invention discloses a kind of combination of knowledge based collection of illustrative plates mistake topic recommendation method, the wrong topic related to its weak knowledge point can accurately be recommended to learner by this method.The invention includes building extracts knowledge from extensive unstructured examination question data, builds knowledge mapping;Wrong topic to learner carries out text mining, and participle extracts error topic keyword, and then determine that the mistake inscribes included knowledge point;Analyzed by the semantic acquaintance property to examination question, obtain the semantic neighbour of the knowledge point;It is mapped to by mistake topic knowledge point in knowledge mapping, obtains the examination question entity for meeting its knowledge point.Simultaneously by carrying out acquaintance property weight calculation to test item bank, the phase knowledge and magnanimity matrix of paper is obtained, the recommendation examination question of wrong topic is obtained using collaborative filtering.Finally, two kinds of recommendation results are further combined using modes such as weighting, mixing, stacking and first ranks, provide consequently recommended result.

Description

A kind of combination mistake topic recommendation method of knowledge based collection of illustrative plates
Technical field
The invention belongs to computer software technical field, and in particular to a kind of combination mistake topic recommendation side of knowledge based collection of illustrative plates Method.
Background technology
With advancing by leaps and bounds for internet development, people have gradually entered an information from the epoch of an absence of information The epoch of overload.The problem of growth of information explosion formula causes information overflow in network becomes extremely serious, for a user Searched out from mass data just becomes difficult to oneself valuable data, and the useful information that some are seldom concerned is past Toward being submerged in the ocean of information, as isolated island information.Commending system is the effective ways for solving problems, its essence It is that the resource object for meeting its interest preference is found for user.
In recent years, in view of recommended technology has immense value in every field, the experts and scholars of all trades and professions join in In the research of recommended technology, the new peak of recommended technology development is brought therefrom.The recommended technology of current main flow, bag Include rule-based recommended technology, content-based recommendation technology and collaborative filtering.These recommended technologies are pushed away in traditional Recommend in system and be used widely, and achieve certain success.Processing of the content-based recommendation to complex properties is not friendly enough It is good, while preferable recommendation can not be produced to new user.Rule-based recommended technology, is overly dependent upon the language of professional domain Expert defines syntax rule and carrys out extracting rule, it is necessary to take considerable time, cost of labor is too high, while moving costs is huge.Base In the Collaborative Filtering Recommendation Algorithm of project, in the case where data are extremely sparse, similarity measurement is inaccurate, recommend poor quality not Foot.Meanwhile, with continuing to develop for proposed algorithm, people also begin to recognize the defect present in existing commending system, such as by Cold start-up problem, recommendation precision and the Gray sheep brought in Sparse.
Mistake is that institute is inevitable in learning, and mistake topic is the concentrated reflection of the difficult point that learner learns and blind spot, can be most Show the learning actuality of learner in big degree, and with very strong authenticity.Can these mistake topics of induction and conclusion to learner Grasping knowledge has tremendous influence, the recommendation of mistake topic knowledge point most important during also just being improved in study as learner Key link.By using the method with higher recommendation accuracy rate, effectively it can provide accurate to learner using wrong topic collection Knowledge recommendation, utilize wrong topic collection intensified learning person knowledge understanding and memory.The consolidation of mistake topic is practised as in study An important part, if its main purpose, which just allows learner to practise its place field, grasps more weak knowledge point, according to The demand of learner recommends the exercise of certain amount to it, to consolidate knowledge.
By building the knowledge mapping of examination question, entity, relation and path are represented all in the vector space of low-dimensional, so The semantic acquaintance property of each knowledge point is calculated afterwards, and by mistake topic participle, extracting knowledge point, the semanteme for obtaining the knowledge point is near Neighbour, the examination question that the semantic neighbour in all knowledge points is then provided in knowledge mapping is recommended.Wrong topic and the phase of test item bank are calculated simultaneously Like property weight, the acquaintance matrix of examination question is obtained, corresponding recommendation is provided according to collaborative filtering.Recommend knot with reference to two kinds Really, using modes such as weighting, mixing, stacking and first ranks, final recommendation results are provided.
The content of the invention
The present invention is intended to provide a kind of high wrong topic recommendation method of precision.
The wrong topic recommendation method that the present invention is provided is based on examination question knowledge mapping.By from extensive unstructured examination question In, knowledge point is extracted, the knowledge mapping of examination question is built.On this basis, by the semantic analysis to mistake topic, the mistake is extracted The knowledge point of topic, and then the semantic neighbour of the knowledge point is calculated in knowledge mapping, at the same time pass through collaborative filtering meter The arest neighbors of the examination question is calculated, finally takes the modes such as weighting, mixing and first rank to combine two kinds of recommended technologies, is pushed away so as to improve The degree of accuracy recommended.Simultaneously as possessing abundant semantic data, the cold start-up that commending system is also solved to a certain extent is asked Topic.
The present invention proposes a kind of combination mistake topic commending system of knowledge based collection of illustrative plates, its overall flow frame diagram such as Fig. 1 institutes Show.It includes following five modules.First module is the knowledge mapping that examination question is built according to test item bank;Second module is according to mistake Examination question in topic input and test item bank to carry out similarity weight calculation to examination question, recommends so as to provide corresponding arest neighbors;The Three modules are that the vector representation of examination question and knowledge point is calculated according to knowledge mapping;4th module is to utilize semantic similarity, is provided Semantic neighbour in mistake topic knowledge based collection of illustrative plates;5th module is to combine the recommendation results in the second module and the 4th module, profit Final recommendation results are provided with modes such as weighting, mixing, stacking and first ranks.
The present invention has the beneficial effect that:
1st, the knowledge mapping that the present invention is built for examination question, the knowledge point vector representation generated using TransE algorithms will Knowledge mapping quantizes expression, has taken into full account the semantic similarity between knowledge point, can accurately understand between knowledge point Semantic association, so as to improve the accuracy of knowledge mapping recommendation results.
2nd, the present invention can be provided according to different learners meets the examination question of its knowledge blind spot and recommends, it is to avoid Gray Sheep problems.
3rd, due to there is abundant test item bank to provide semantic data, it is to avoid the commending system cold start-up that Sparse is brought is asked Topic.
4th, a variety of recommended technologies are combined, make recommendation results more accurate.
Brief description of the drawings
Fig. 1 is knowledge based collection of illustrative plates combined recommendation overall system architecture;
Fig. 2 is that history knowledge-ID excavates example;
Fig. 3 is TransE algorithm model figures;
Embodiment
In order that the purpose of the present invention, technical scheme and feature are more clearly understood, below in conjunction with specific embodiment, and 1-3, further refinement explanation is carried out to the present invention referring to the drawings.
Step one:
Participle operation is carried out to the per pass examination question in test item bank, the keyword of per pass examination question is obtained, keyword is made into one The knowledge feature of step is extracted, and obtains the knowledge point corresponding to per pass examination question, thereby determines that the mapping between knowledge point and examination question is closed System, so as to build using each knowledge point and examination question as node, keyword is the examination question knowledge mapping on side.
Step 2:
The similarity weight of examination question and knowledge point is calculated, so as to obtain paper and the similarity matrix of knowledge point.The phase The i-th row of knowledge and magnanimity matrix jth row represent examination question i and are knowledge point j proportions.According to the examination question-knowledge dot matrix, calculate wrong Topic and the similarity of existing examination question in test item bank, are then weighted sequence to examination question, pick out sequence in top-k preceding k roads Examination question provides the arest neighbors recommendation obtained by collaborative filtering as output.
Step 3:
In knowledge mapping, similar node is also often similar semantically.So, for the knowledge point in examination question For, different knowledge points, the semantic information that different examination questions may be included is roughly the same.Using TransE algorithms, enhancing association With the semantic information of examination question in examination question similarity matrix in filter algorithm.As shown in Figure 3:By each examination question triple example Relation relation in (head, relation, tail) regards the translation from entity head to entity tail as, by constantly adjusting Whole h, r and t (head, relation and tail vector), make (h+r) as equal with t as possible, i.e. h+r ≈ t.
In the training process of model, TransE uses largest interval method, and its object function is as follows:
Wherein, S is the triple in knowledge base, and S' is the triple of negative sampling, as obtained by replacing h or t.γ is value Spacing distance parameter more than 0, [x]+represent Positive Function, i.e. x>When 0, [x] +=x;As x≤0, [x] +=0.Gradient is more It is new only to calculate apart from d (h+r, t) with d (h'+r, t').Using gradient descent method so that loss function is optimal.Work as model After the completion of training, the vector representation of entity and relation is obtained.
Step 4:
By the TransE algorithms described in step 3, examination question is represented to turn into one group of low-dimensional real-valued vectors.According to TransE Algorithm, its entity vector S is provided for mistake topic1, then for any examination question in test item bank, provide the entity of any examination question to Measure S2.Calculated for the similarity between measurement twice examination question by vector space cosine similarity:
The codomain of sim functions is (0,1), when phase knowledge and magnanimity more level off to 1 when, two vectors more represent it is semantic also It is more identical, that is to say, that examination question S1And S2Just possess more identical knowledge point.Similarly, when similarity gets over convergence 0, two The semanteme of vector representation is more differed, i.e. examination question S1And S2Just possess the knowledge point more differed.Counted using Semantic Similarity Calculate, calculate wrong topic and the semantic similarity of existing examination question in test item bank, examination question is ranked up, will sort in top-k preceding k roads Examination question is exported as the semantic neighbour of knowledge based collection of illustrative plates.
Step 5:
Examination question the recommendation results A and B obtained by step 2 and step 4 is integrated, using weighting, mixing, stacking and The modes such as first rank are further combined to two kinds of recommendation results, provide consequently recommended result.
<1>Recommendation is combined using weighting technique:
Collect for two kinds of recommendation results A and B as recommendation, then evaluation and system of the comparative learning person to recommendation results Predict whether be consistent, the model of weighting is generated according to the obtained result of training, weight is dynamically adjusted.Provided according to model Most rational combining weights are weighted combination, the recommendation examination question collection after final output weighted array.
<2>Married operation:
Set (C)=set (A)+set (B)
for i in set(C):
print(i)
Wherein, A, B are respectively the recommendation collection that two kinds of recommended technologies are provided, and C is two kinds of unions for recommending to collect, and i is pushing away in C Recommend examination question.
<3>The mode of stacking is combined recommendation.Lamination techniques are as follows:
I and j are respectively to recommend the recommendation examination question in collection A, B.
<4>Recommendation is combined using first level technique:
For the recommendation collection A obtained in step 2 using collaborative filtering, step 4 kind is put into as input, is calculated Go out the semantic similarity with examination question in test item bank that per pass in A intends recommending examination question, then sort, by preceding k roads knowledge based collection of illustrative plates Semantic neighbour recommend examination question as consequently recommended.

Claims (1)

1. a kind of combination mistake topic recommendation method of knowledge based collection of illustrative plates, it is characterised in that:Realize that this method includes following five moulds Block;First module is the knowledge mapping that examination question is built according to test item bank;Second module is according in the input of mistake topic and test item bank Examination question to carry out similarity weight calculation to examination question, recommends so as to provide corresponding arest neighbors;3rd module is according to knowledge graph Spectrum calculates the vector representation of examination question and knowledge point;4th module is to utilize semantic similarity, in error topic knowledge based collection of illustrative plates Semantic neighbour;5th module be combine the second module and the 4th module in recommendation results, using weighting, mixing, stacking and The modes such as first rank provide final recommendation results;
Step one:
Participle operation is carried out to the per pass examination question in test item bank, the keyword of per pass examination question is obtained, further is made to keyword Knowledge feature is extracted, and is obtained the knowledge point corresponding to per pass examination question, is thereby determined that the mapping relations between knowledge point and examination question, from And build using each knowledge point and examination question as node, keyword is the examination question knowledge mapping on side;
Step 2:
The similarity weight of examination question and knowledge point is calculated, so as to obtain paper and the similarity matrix of knowledge point;The phase knowledge and magnanimity The i-th row of matrix jth row represent examination question i and are knowledge point j proportions;According to the examination question-knowledge dot matrix, calculate wrong topic with The similarity of existing examination question, is then weighted sequence to examination question in test item bank, picks out preceding k road examination question of the sequence in top-k As output, the arest neighbors recommendation obtained by collaborative filtering is provided;
Step 3:
In knowledge mapping, similar node is also often similar semantically;So, for the knowledge point in examination question Speech, different knowledge points, the semantic information that different examination questions may be included is roughly the same;Using TransE algorithms, enhancing collaboration In filter algorithm in examination question similarity matrix examination question semantic information;As shown in Figure 3:By each examination question triple example (head, Relation, tail) in relation relation regard translation from entity head to entity tail as, by constantly adjusting h, r With t (head, relation and tail vector), make (h+r) as equal with t as possible, i.e. h+r ≈ t;
In the training process of model, TransE uses largest interval method, and its object function is as follows:
<mrow> <mi>L</mi> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mrow> <mo>(</mo> <mi>h</mi> <mo>,</mo> <mi>r</mi> <mo>,</mo> <mi>t</mi> <mo>)</mo> <mo>&amp;Element;</mo> <mi>S</mi> </mrow> </munder> <munder> <mo>&amp;Sigma;</mo> <mrow> <mo>(</mo> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>,</mo> <mi>r</mi> <mo>,</mo> <msup> <mi>t</mi> <mo>&amp;prime;</mo> </msup> <mo>)</mo> <mo>&amp;Element;</mo> <msubsup> <mi>S</mi> <mrow> <mo>(</mo> <mi>h</mi> <mo>,</mo> <mi>r</mi> <mo>,</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>&amp;prime;</mo> </msubsup> </mrow> </munder> <msub> <mrow> <mo>&amp;lsqb;</mo> <mi>&amp;gamma;</mi> <mo>+</mo> <mi>d</mi> <mrow> <mo>(</mo> <mi>h</mi> <mo>+</mo> <mi>r</mi> <mo>,</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>-</mo> <mi>d</mi> <mrow> <mo>(</mo> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>+</mo> <mi>r</mi> <mo>,</mo> <msup> <mi>t</mi> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mo>+</mo> </msub> </mrow>
Wherein, S is the triple in knowledge base, and S' is the triple of negative sampling, as obtained by replacing h or t;γ is that value is more than 0 spacing distance parameter, [x]+represent Positive Function, i.e. x>When 0, [x] +=x;As x≤0, [x] +=0;Gradient updating is only It need to calculate apart from d (h+r, t) with d (h'+r, t');Using gradient descent method so that loss function is optimal;Work as model training After the completion of, obtain the vector representation of entity and relation;
Step 4:
By the TransE algorithms described in step 3, examination question is represented to turn into one group of low-dimensional real-valued vectors;According to TransE algorithms, Its entity vector S is provided for mistake topic1, then for any examination question in test item bank, provide the entity vector S of any examination question2; Calculated for the similarity between measurement twice examination question by vector space cosine similarity:
<mrow> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>s</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>&amp;CenterDot;</mo> <msub> <mi>s</mi> <mn>2</mn> </msub> </mrow> <mrow> <mo>|</mo> <mo>|</mo> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>|</mo> <mo>|</mo> <mo>&amp;CenterDot;</mo> <mo>|</mo> <mo>|</mo> <msub> <mi>s</mi> <mn>2</mn> </msub> <mo>|</mo> <mo>|</mo> </mrow> </mfrac> </mrow>
<mrow> <mi>s</mi> <mi>i</mi> <mi>m</mi> <mrow> <mo>(</mo> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>s</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> <mo>+</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>s</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </mfrac> </mrow>
The codomain of sim functions is (0,1), when phase knowledge and magnanimity more level off to 1 when, the semantic also more phase that two vectors are more represented Together, that is to say, that examination question S1And S2Just possess more identical knowledge point;Similarly, when similarity gets over convergence 0, two vectors The semanteme of expression is more differed, i.e. examination question S1And S2Just possess the knowledge point more differed;Calculated using Semantic Similarity, Wrong topic and the semantic similarity of existing examination question in test item bank are calculated, examination question is ranked up, is tried sorting in top-k preceding k roads Inscribe and exported as the semantic neighbour of knowledge based collection of illustrative plates;
Step 5:
Examination question the recommendation results A and B obtained by step 2 and step 4 is integrated, and utilizes weighting, mixing, stacking and first level The mode such as not is further combined to two kinds of recommendation results, provides consequently recommended result;
<1>Recommendation is combined using weighting technique:
For two kinds of recommendation results A and B as recommending to collect, then comparative learning person is to the evaluation of recommendation results, pre- with system Whether survey is consistent, and the result obtained according to training generates the model of weighting, dynamically adjusts weight;The most conjunction provided according to model The combining weights of reason are weighted combination, the recommendation examination question collection after final output weighted array;
<2>Married operation:
Set (C)=set (A)+set (B)
for i in set(C):
print(i)
Wherein, A, B are respectively the recommendation collection that two kinds of recommended technologies are provided, and C is two kinds of unions for recommending to collect, and i is the recommendation examination in C Topic;
<3>The mode of stacking is combined recommendation;Lamination techniques are as follows:
I and j are respectively to recommend the recommendation examination question in collection A, B;
<4>Recommendation is combined using first level technique:
For the recommendation collection A obtained in step 2 using collaborative filtering, step 4 kind is put into as input, A is calculated Middle per pass intends recommending the semantic similarity with examination question in test item bank of examination question, then sorts, by the language of preceding k roads knowledge based collection of illustrative plates Adopted neighbour recommends examination question as consequently recommended.
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