CN108960979A - A kind of method that initial user is chosen in product distribution on line - Google Patents

A kind of method that initial user is chosen in product distribution on line Download PDF

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CN108960979A
CN108960979A CN201810637291.3A CN201810637291A CN108960979A CN 108960979 A CN108960979 A CN 108960979A CN 201810637291 A CN201810637291 A CN 201810637291A CN 108960979 A CN108960979 A CN 108960979A
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CN108960979B (en
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陈伯伦
袁燕
朱全银
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Dragon Totem Technology Hefei Co ltd
Guangzhou Fenle Information Technology Co.,Ltd.
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Huaiyin Institute of Technology
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Abstract

The invention discloses the methods that initial user is chosen in product distribution on a kind of line.The data set of product on line is handled first, obtain true topology diagram G (V, E), then the t rank neighbours of all nodes in G are calculated, each node is carried out independent cascade model propagation to its neighbour as initial user, then the influence power of calculate node is optimal t ' the rank neighbours of node selection, it is maximum as initial user that influence power is chosen from t ' the rank neighbours of node.The present invention selects initial user to reduce time complexity in the t rank neighbours of node.

Description

A kind of method that initial user is chosen in product distribution on line
Technical field
The invention belongs to complex network field, in particular to the method for product distribution selection initial user on a kind of line.
Background technique
The target of maximizing influence is to select one group of user in an online social networks.With biggest impact Subset, i.e., in information propagation, the anticipated number by the affected user of subset is maximized.Influence power is maximum The well-known application changed is viral marketing, and a company may want to through the social activity link between user, will be new The use of product blazes abroad from some adopters initially selected.Since maximizing influence is that a NP-hard is asked Topic, existing work concentrates in approximate solution, and the emphasis of these maximizing influence algorithm researches is greedy Frame.We look back greedy frame and propose a classification method, existing to be based on emulation mode, based on agency and sketch side Different desired targets are realized in method, the algorithm design based on them.
Greedy algorithm is all put into seed set using currently most influential node as both candidate nodes in each step In, it is then constantly iterated until all seed nodes are selected.However the local optimum strategy of this algorithm can not Guarantee the global optimum of final result, and the efficiency of algorithm is relatively low, time complexity is higher, is not suitable for large-scale Real network.On this basis, Tsai et al. improves greedy algorithm, proposes GNG algorithm (Genetic NewGreedy, GNG).Experiment shows to propose the performance of greedy algorithm after the algorithm combines some characteristics of genetic algorithm It is high by 10% or so.Cheng et al. mentions to solve the accuracy rate of maximizing influence algorithm and the double-barreled question of scalability Heuristic SG algorithm (StaticGreedy, SG) is gone out.The submodule characteristic of maximizing influence objective function is utilized in the algorithm For selecting current most influential node, the time it takes is chosen to reduce both candidate nodes with this.Gong et al. is mentioned Maximizing influence PTMA algorithm (the Probability Transfer Matrix based on probability transfer matrix is gone out Algorithm, PTMA), which obtains the influence probability between a certain moment node by the method for matrix product, and nothing The marginal benefit of all inactive nodes need to be calculated at each moment to improve efficiency when algorithm operation.Cao et al. is proposed Heuritic approach based on nucleus number level characteristics and the radius of influence-kernel covering algorithm CCA (Core Covering Algorithm, CCA).The algorithm is firstly introduced into K- core concept, the nucleus number of each node is found out based on K- nuclear decomposition, then root According to the hierarchy that nucleus number is distributed, the radius of influence parameter of node is introduced, two attributes of nucleus number and degree is finally integrated, finds out shadow Ring power node set.Chen Hao et al. proposes the concept of a potential impact number of nodes PIN based on threshold value, by considering node The preliminary examination activation threshold of itself, node it is activated enter side neighbours to its influence power and node to the shadow of its neighbor node Ring power.It selects PIN maximum in the first stage as seed node, seed node is selected by greedy algorithm in second stage, The algorithm complexity is small, and the range of influence power is big.The algorithm design of such maximizing influence is all based on model-driven, On the basis of given influence power propagation model, the selection of seed node is carried out using didactic method.
Traditional selection product distribution initial user is by artificial selection, and the method for artificial selection is due to consuming people Power resource, and there are certain one-sidedness, can not be selected according to the feature of product and object, cause to select initially to use The effect at family is not considerable.
Summary of the invention
Goal of the invention: in view of the above-mentioned problems, the present invention provides a kind of saving time and human cost, and when reducing Between complexity line on product distribution choose initial user method.
Technical solution: the present invention proposes a kind of method that initial user is chosen in product distribution on line, includes the following steps:
Step 1: the data set of product on line being handled, true topology diagram G (V, E) is obtained;Wherein, V table Show the node set in G, E indicates the set on the side in G, inputs P, and P is that the node v that is activated swashs in independent cascade model The probability of its unactivated out-degree neighbor node living, inputs S, and S is the number of selected seed node, method particularly includes:
Step 1.1: true topology diagram G (V, E) is obtained from ring present in the data set of product on strikethrough, G is adjacency matrix;
Step 1.2: the gesture of node is exactly how many node in G, while gesture be exactly in G how many while, acquire node Gesture m and side gesture n;
Step 1.3: independent cascade is a kind of probabilistic model, when a node v is activated, it can with probability P to it not The side neighbor node w out of activation attempts activation, and this trial only carries out once, and is mutually indepedent between these trials , i.e. v not will receive the influence of other nodes to the activation of w.Probability P is tested to be defined at the beginning, therefore according to social activity User neighbours choose in maximizing influence start node in network, P=1/degree.Degree is the degree of node, is calculated adjacent The sum for connecing every a line of matrix G is denoted as matrix D egree, is the corresponding degree of node.
Step 2: calculating the t rank neighbours of each node, the t rank neighbours of each node acquired are placed on a big collection In SubList, t=1,2,3,4,5,6,7,8,9,10, method particularly includes:
Step 2.1: the row/column of the adjacency matrix G in step 1.1 being numbered, the first row/column is 1, the second row/column The successively label that is 2 ...;
Step 2.2: asking 1 rank neighbours of node i, the empty matrix D, m for setting m row m column are acquired in step 1.2 The gesture of node.0 that the i-th row i-th of matrix D is arranged is changed to 1, calculating matrix D*G, and what is acquired is the son of 1 rank neighbours of node i Figure, is defined as J1
Step 2.3: asking 2 rank neighbours of node i, take the i-th row of adjacency matrix G, be set as matrix A, i-th of matrix A Number is changed to 1, generates a matrix B, diagonal line is matrix A, remaining is all 0;Calculating matrix B*G, what is acquired is 2 ranks of node i The subgraph of neighbours, is defined as J2
Step 2.4: asking 3 rank neighbours of node i, first calculating G+G*G, be denoted as matrix F 1, not being 0 in matrix F 1 Number is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 1, is set as Matrix C 1, the i-th of Matrix C 1 Number is changed to 1, generates a matrix E1, and diagonal line is Matrix C 1, and remainder is all 0;Calculating matrix E1*G, what is acquired is section The subgraph of the 3 rank neighbours of point i, is defined as J3
Step 2.5: asking 4 rank neighbours of node i, first calculating G+G2+G3, it is set as matrix F 2, not being 0 in matrix F 2 Number be all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 2, is set as Matrix C 2, Matrix C 2 I-th of number is changed to 1, generates a matrix E2, and diagonal line is Matrix C 2, and remainder is all 0;Calculating matrix E2*G, what is acquired is The subgraph of 4 rank neighbours of node i, is defined as J4
Step 2.6: asking 5 rank neighbours of node i, first calculating G+G2+G3+G4, be set as matrix F 3, in matrix F 3 not It is that 0 number is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 3, is set as Matrix C 3, Matrix C 3 I-th of number be changed to 1, generate a matrix E3, diagonal line is Matrix C 3, and remainder is all 0;Calculating matrix E3*G, is acquired It is the subgraph of 5 rank neighbours of node i, is defined as J5
Step 2.7: asking 6 rank neighbours of node i, first calculating G+G2+G3+G4+G5, it is set as matrix F 4, matrix F 4 In be not that 0 number is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 4, is set as Matrix C 4, square I-th of number of battle array C4 is changed to 1, generates a matrix E4, diagonal line is Matrix C 4, and remainder is all 0;Calculating matrix E4*G, is asked What is obtained is the subgraph of 6 rank neighbours of node i, is defined as J6
Step 2.8: asking 7 rank neighbours of node i, first calculating G+G2+G3+G4+G5+G6, it is set as matrix F 5, matrix It is not that 0 number is all set to 1, and the number on diagonal line is all set to 0 in F5;The i-th row for taking matrix F 5, is set as Matrix C 5, I-th of number of Matrix C 5 is changed to 1, generates a matrix E5, and diagonal line is Matrix C 5, and remainder is all 0;Calculating matrix E5*G, What is acquired is the subgraph of 7 rank neighbours of node i, is defined as J7
Step 2.9: asking 8 rank neighbours of node i, first calculating G+G2+G3+G4+G5+G6+G7, it is set as matrix F 6, square It is not that 0 number is all set to 1, and the number on diagonal line is all set to 0 in battle array F6;The i-th row for taking matrix F 6, is set as Matrix C 6, I-th of number of Matrix C 6 is changed to 1, generates a matrix E6, diagonal line is Matrix C 6, and remainder is all 0;Calculating matrix E6* G, what is acquired is the subgraph of 8 rank neighbours of node i, is defined as J8
Step 2.10: asking 9 rank neighbours of node i, first calculating G+G2+G3+G4+G5+G6+G7+G8, it is set as matrix F 7, The number in matrix F 7 not being 0 is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 7, is set as square I-th of number of Matrix C 7, is changed to 1, generates a matrix E7, diagonal line is Matrix C 7, and remainder is all 0 by battle array C7;It calculates Matrix E7*G, what is acquired is the subgraph of 9 rank neighbours of node i, is defined as J9
Step 2.11: asking 10 rank neighbours of node i, first calculating G+G2+G3+G4+G5+G6+G7+G8+G9It is set as matrix The number in matrix F 8 not being 0 is all set to 1, and the number on diagonal line is all set to 0 by F8;The i-th row for taking matrix F 8, is set as I-th of number of Matrix C 8 is changed to 1, generates a matrix E8 by Matrix C 8, and diagonal line is Matrix C 8, and remainder is all 0;Meter Matrix E8*G is calculated, what is acquired is the subgraph of 10 rank neighbours of node i, is defined as J10.
Step 2.12: the subgraph of the 1 rank node of all node i ∈ V is all in J1In, the 2 rank nodes of all node i ∈ V Subgraph is all in J2In, the subgraph of the 3 rank nodes of all node i ∈ V is all in J3In, the subgraph of the 4 rank nodes of all node i ∈ V All in J4In, the subgraph of the 5 rank nodes of all node i ∈ V is all in J5In, the subgraph of the 6 rank nodes of all node i ∈ V all exists J6In, the subgraph of the 7 rank nodes of all node i ∈ V is all in J7In, the subgraph of the 8 rank nodes of all node i ∈ V is all in J8In, The subgraph of the 9 rank nodes of all node i ∈ V is all in J9In, the subgraph of the 10 rank nodes of all node i ∈ V is all in J10In, J1、J2、J3、 J4、J5、J6、J7、J8、J9、J10It is placed in matrix SubList.
Step 3: each node is treated as initial user, it is a network that the t rank neighbours of each node, which are treated as, It allows each node to carry out R independent cascade model to his t rank neighbours to propagate, R is the positive integer of oneself definition, is calculated each Average influence of the node to his t rank neighbours, t=1,2,3,4,5,6,7,8,9,10, method particularly includes:
Step 3.1: defining a positive integer R, empty matrix In;
Step 3.2: the sum of every a line of calculating matrix G is placed in matrix degree, and what is stored in matrix degree is The degree of each node;Define cyclic variable m, m ∈ [1, R];
Step 3.3: if m≤R, jumping to step 3.4, not so jump to step 3.10;
Step 3.4: node i being treated as live-vertex, its neighbor node v is had an impact, the probability for activating v is P, and chance is once;P=1/degree, degree are the degree of the node i acquired in step 302;V belongs to the t of node i Rank neighbours, t=1,2,3,4,5,6,7,8,9,10;
Step 3.5: the success if node v is activated, node v switch to active state, and inactive section will be abutted to it Point has an impact;Otherwise, node v does not change;
Step 3.6: repeating step 3.3 and 3.4, until being unable to the new node of reactivation, communication process terminates;
Step 3.7: the number for the node that each node activates in t rank neighbours is exactly its influence power;
Step 3.8: influence power of each node in its 1 rank neighbours is there are in matrix In1, in its 2 rank neighbours Influence power there are in matrix In2, influence power in its 3 rank neighbours is there are in matrix In3, in its 4 rank neighbours Influence power is there are in matrix In4, and there are the shadows in matrix In5, in its 6 rank neighbours for the influence power in its 5 rank neighbours Power is rung there are in matrix In6, and there are the influences in matrix In7, in its 8 rank neighbours for the influence power in its 7 rank neighbours Power is there are in matrix In8, and there are the influences in matrix In9, in its 10 rank neighbours for the influence power in its 9 rank neighbours There are in matrix In10 for power;
Step 3.9:m=m+1;
Step 3.10: the influence power that R times is acquired being added up, then divided by R, asks each node in its t rank neighbour Average influence, be placed in matrix In.
Step 4: node t rank neighbours being ranked up from big to small according to influence power, choose in every rank neighbours influence power most 50 big nodes find that the t' rank neighbours influence power of node is maximum by comparing, t=1,2,3,4,5,6,7,8,9,10, And t' ∈ t, method particularly includes:
Step 4.1: to matrix In1, In2, In3, In4, In5, In6, In7, In8, In9, the value inside In10 carry out from Small sequence is arrived greatly;
Step 4.2: choosing matrix In1, In2, In3, In4, In5, In6, In7, In8, In9, preceding 50 numbers in In10 Value, is placed on matrix Z1, Z2, Z3 in order, Z4, Z5, Z6, Z7, Z8, Z9, in Z10;
Step 4.3: it draws, it is 10 numbers that horizontal axis, which is 1 to 10, and the longitudinal axis is matrix Z1, Z2, Z3, Z4, Z5, Z6, Z7, Z8, Number in Z9, Z10 finds that in t=t', the number on the longitudinal axis is maximum, that is, t' neighbours' influence power of node is maximum;
Step 5: K independent cascade model is carried out to node all in the rank neighbours of node in the entire network and is propagated, T' is the value that step 5 is asked, and K is the positive integer of oneself definition, chooses maximum S node in the t' rank neighbours of node As initial user, method particularly includes:
Step 5.1: a positive integer M is defined, from taking out matrix SubList in step 2.12, and from matrix SubList Middle taking-up matrix Jt', t' ∈ [1,10];
Step 5.2: defining cyclic variable n, n ∈ [1, M], calculating matrix Jt'The sum of every a line is denoted as matrix D e, matrix What is stored in De is the degree of node t' rank neighbours;
Step 5.3: if n≤M, jumping to step 5.4, not so jump to step 5.9;
Step 5.4: matrix Jt'In node treat as live-vertex, its neighbor node w is had an impact, w is activated Probability be p, and chance is only once;P=1/degree, degree are the numbers in the matrix D e acquired in step 5.2;
Step 5.5: the success if node w is activated, node w switch to active state, and inactive section will be abutted to it Point has an impact;Otherwise, node w does not change;
Step 5.6: repeating step 5.4 and 5.5, until being unable to the new node of reactivation, communication process terminates;
Step 5.7: the number for the node that each node activates in the data set of product on line is exactly its influence power, It is denoted as matrix IN;
Step 5.8:n=n+1;
Step 5.9: the influence power that M times is acquired being added up, then divided by M, seeks each node in the entire network Average influence is all placed in matrix L IN;
Step 5.10: the value in matrix L IN being ranked up, selected value maximum S, corresponding node is just Beginning user.
The present invention by adopting the above technical scheme, has the advantages that the present invention is mentioned for maximizing influence problem The method of t rank neighbours' fast selecting seed node based on node out, by the t rank neighbours of calculate node, (t=1,2 ... n) Influence power of the calculate node in its neighbours' subgraph selects so that influence power is higher, effect is preferable by comparing.It determines Afterwards, select entire effect power maximum as seed node in the rank neighbours of node.This method can greatly reduce calculating Expense and storage overhead reduce time complexity so that the time of selection seed node is greatly lowered.
Detailed description of the invention
Fig. 1 is overview flow chart of the invention
Fig. 2 is the specific flow chart that Product Data Set on line is handled in Fig. 1;
Fig. 3 is the specific flow chart of calculate node t rank neighbours in Fig. 1;
Fig. 4 is the specific flow chart of calculate node average influence in Fig. 1;
Fig. 5 is the specific flow chart that optimal node t ' rank neighbours are chosen in Fig. 1;
Fig. 6 is the specific flow chart that product distribution initial user on the maximum line of influence power is selected in Fig. 1;
Specific embodiment
Combined with specific embodiments below, the present invention is furture elucidated, it should be understood that these embodiments are merely to illustrate the present invention Rather than limit the scope of the invention, after the present invention has been read, those skilled in the art are to various equivalences of the invention The modification of form falls within the application range as defined in the appended claims.
As described in Fig. 1-6, the method that initial user is chosen in product distribution on a kind of line of the present invention, specific steps It is as follows:
Step 1: the data set of product on line being handled, true topology diagram G (V, E) is obtained;Wherein, V table Show the node set in G, E indicates the set on the side in G, inputs P, and P is that the node v that is activated swashs in independent cascade model The probability of its unactivated out-degree neighbor node living, inputs S, and S is the number of selected seed node, specific as shown in Figure 2:
Step 1.1: true topology diagram G (V, E) is obtained from ring present in the data set of product on strikethrough, G is adjacency matrix;
Step 1.2: the gesture of node is exactly how many node in G, while gesture be exactly in G how many while, acquire node Gesture m;
Step 1.3: independent cascade is a kind of probabilistic model, when a node v is activated, it can with probability P to it not The side neighbor node w out of activation attempts activation, and this trial only carries out once, and is mutually indepedent between these trials , i.e. v not will receive the influence of other nodes to the activation of w.Probability P is tested to be defined at the beginning, therefore according to social activity User neighbours choose in maximizing influence start node in network ,=1/degree.Degree is the degree of node, is calculated adjacent The sum for connecing every a line of matrix G is denoted as matrix D egree, is the corresponding degree of node.
Step 2: calculating the t rank neighbours of each node, the t rank neighbours of each node acquired are placed on a big collection In SubList, t=1,2,3,4,5,6,7,8,9,10, specific as shown in Figure 3:
Step 2.1: the row/column of the adjacency matrix G in step 1.1 being numbered, the first row/column is 1, the second row/column The successively label that is 2 ...;
Step 2.2: asking 1 rank neighbours of node i, the empty matrix D, m for setting m row m column are acquired in step 1.2 The gesture of node.0 that the i-th row i-th of matrix D is arranged is changed to 1, calculating matrix D*G, and what is acquired is the son of 1 rank neighbours of node i Figure, is defined as J1
Step 2.3: asking 2 rank neighbours of node i, take the i-th row of adjacency matrix G, be set as matrix A, i-th of matrix A Number is changed to 1, generates a matrix B, diagonal line is matrix A, remaining is all 0;Calculating matrix B*G, what is acquired is 2 ranks of node i The subgraph of neighbours, is defined as J2
Step 2.4: asking 3 rank neighbours of node i, first calculating G+G*G, be denoted as matrix F 1, not being 0 in matrix F 1 Number is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 1, is set as Matrix C 1, the i-th of Matrix C 1 Number is changed to 1, generates a matrix E1, and diagonal line is Matrix C 1, and remainder is all 0;Calculating matrix E1*G, what is acquired is section The subgraph of the 3 rank neighbours of point i, is defined as J3
Step 2.5: asking 4 rank neighbours of node i, first calculating G+G2+G3, it is set as matrix F 2, not being 0 in matrix F 2 Number be all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 2, is set as Matrix C 2, Matrix C 2 I-th of number is changed to 1, generates a matrix E2, and diagonal line is Matrix C 2, and remainder is all 0;Calculating matrix E2*G, what is acquired is The subgraph of 4 rank neighbours of node i, is defined as J4
Step 2.6: asking 5 rank neighbours of node i, first calculating G+G2+G3+G4, be set as matrix F 3, in matrix F 3 not It is that 0 number is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 3, is set as Matrix C 3, Matrix C 3 I-th of number be changed to 1, generate a matrix E3, diagonal line is Matrix C 3, and remainder is all 0;Calculating matrix E3*G, is acquired It is the subgraph of 5 rank neighbours of node i, is defined as J5
Step 2.7: asking 6 rank neighbours of node i, first calculating G+G2+G3+G4+G5, it is set as matrix F 4, matrix F 4 In be not that 0 number is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 4, is set as Matrix C 4, square I-th of number of battle array C4 is changed to 1, generates a matrix E4, diagonal line is Matrix C 4, and remainder is all 0;Calculating matrix E4*G, is asked What is obtained is the subgraph of 6 rank neighbours of node i, is defined as J6
Step 2.8: asking 7 rank neighbours of node i, first calculating G+G2+G3+G4+G5+G6, it is set as matrix F 5, matrix It is not that 0 number is all set to 1, and the number on diagonal line is all set to 0 in F5;The i-th row for taking matrix F 5, is set as Matrix C 5, I-th of number of Matrix C 5 is changed to 1, generates a matrix E5, and diagonal line is Matrix C 5, and remainder is all 0;Calculating matrix E5*G, What is acquired is the subgraph of 7 rank neighbours of node i, is defined as J7
Step 2.9: asking 8 rank neighbours of node i, first calculating G+G2+G3+G4+G5+G6+G7, it is set as matrix F 6, square It is not that 0 number is all set to 1, and the number on diagonal line is all set to 0 in battle array F6;The i-th row for taking matrix F 6, is set as Matrix C 6, I-th of number of Matrix C 6 is changed to 1, generates a matrix E6, diagonal line is Matrix C 6, and remainder is all 0;Calculating matrix E6* G, what is acquired is the subgraph of 8 rank neighbours of node i, is defined as J8
Step 2.10: asking 9 rank neighbours of node i, first calculating G+G2+G3+G4+G5+G6+G7+G8, it is set as matrix F 7, The number in matrix F 7 not being 0 is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 7, is set as square I-th of number of Matrix C 7, is changed to 1, generates a matrix E7, diagonal line is Matrix C 7, and remainder is all 0 by battle array C7;It calculates Matrix E7*G, what is acquired is the subgraph of 9 rank neighbours of node i, is defined as J9
Step 2.11: asking 10 rank neighbours of node i, first calculating G+G2+G3+G4+G5+G6+G7+G8+G9It is set as matrix The number in matrix F 8 not being 0 is all set to 1, and the number on diagonal line is all set to 0 by F8;The i-th row for taking matrix F 8, is set as I-th of number of Matrix C 8 is changed to 1, generates a matrix E8 by Matrix C 8, and diagonal line is Matrix C 8, and remainder is all 0;Meter Matrix E8*G is calculated, what is acquired is the subgraph of 10 rank neighbours of node i, is defined as J10
Step 2.12: the subgraph of the 1 rank node of all node i ∈ V is all in J1In, the 2 rank nodes of all node i ∈ V Subgraph is all in J2In, the subgraph of the 3 rank nodes of all node i ∈ V is all in J3In, the subgraph of the 4 rank nodes of all node i ∈ V All in J4In, the subgraph of the 5 rank nodes of all node i ∈ V is all in J5In, the subgraph of the 6 rank nodes of all node i ∈ V all exists J6In, the subgraph of the 7 rank nodes of all node i ∈ V is all in J7In, the subgraph of the 8 rank nodes of all node i ∈ V is all in J8In, The subgraph of the 9 rank nodes of all node i ∈ V is all in J9In, the subgraph of the 10 rank nodes of all node i ∈ V is all in J10In, J1、J2、J3、 J4、J5、J6、J7、J8、J9、J10It is placed in matrix SubList.
Step 3: each node is treated as initial user, it is a network that the t rank neighbours of each node, which are treated as, It allows each node to carry out R independent cascade model to his t rank neighbours to propagate, R is the positive integer of oneself definition, is calculated each Average influence of the node to his t rank neighbours, t=1,2,3,4,5,6,7,8,9,10, specific as shown in Figure 4:
Step 3.1: defining a positive integer R, empty matrix In;
Step 3.2: the sum of every a line of calculating matrix G is placed in matrix degree, and what is stored in matrix degree is The degree of each node;Define cyclic variable m, m ∈ [1, R];
Step 3.3: if m≤R, jumping to step 3.4, not so jump to step 3.10;
Step 3.4: node i being treated as live-vertex, its neighbor node v is had an impact, the probability for activating v is P, and chance is once;P=1/degree, degree are the degree of the node i acquired in step 302;V belongs to the t of node i Rank neighbours, t=1,2,3,4,5,6,7,8,9,10;
Step 3.5: the success if node v is activated, node v switch to active state, and inactive section will be abutted to it Point has an impact;Otherwise, node v does not change;
Step 3.6: repeating step 3.3 and 3.4, until being unable to the new node of reactivation, communication process terminates;
Step 3.7: the number for the node that each node activates in t rank neighbours is exactly its influence power;
Step 3.8: influence power of each node in its 1 rank neighbours is there are in matrix In1, in its 2 rank neighbours Influence power there are in matrix In2, influence power in its 3 rank neighbours is there are in matrix In3, in its 4 rank neighbours Influence power is there are in matrix In4, and there are the shadows in matrix In5, in its 6 rank neighbours for the influence power in its 5 rank neighbours Power is rung there are in matrix In6, and there are the influences in matrix In7, in its 8 rank neighbours for the influence power in its 7 rank neighbours Power is there are in matrix In8, and there are the influences in matrix In9, in its 10 rank neighbours for the influence power in its 9 rank neighbours There are in matrix In10 for power;
Step 3.9:m=m+1;
Step 3.10: the influence power that R times is acquired being added up, then divided by R, asks each node in its t rank neighbour Average influence, be placed in matrix In.
Step 4: node t rank neighbours being ranked up from big to small according to influence power, choose in every rank neighbours influence power most 50 big nodes find that the t' rank neighbours influence power of node is maximum by comparing, t=1,2,3,4,5,6,7,8,9,10, And t' ∈ t, it is specific as shown in Figure 5:
Step 4.1: to matrix In1, In2, In3, In4, In5, In6, In7, In8, In9, the value inside In10 carry out from Small sequence is arrived greatly;
Step 4.2: choosing matrix In1, In2, In3, In4, In5, In6, In7, In8, In9, preceding 50 numbers in In10 Value, is placed on matrix Z1, Z2, Z3 in order, Z4, Z5, Z6, Z7, Z8, Z9, in Z10;
Step 4.3: it draws, it is 10 numbers that horizontal axis, which is 1 to 10, and the longitudinal axis is matrix Z1, Z2, Z3, Z4, Z5, Z6, Z7, Z8, Number in Z9, Z10 finds that in t=t', the number on the longitudinal axis is maximum, that is, t' neighbours' influence power of node is maximum.
Step 5: K independent cascade model is carried out to node all in the rank neighbours of node in the entire network and is propagated, T' is the value that step 5 is asked, and K is the positive integer of oneself definition, chooses maximum S node in the t' rank neighbours of node It is specific as shown in Figure 6 as initial user:
Step 5.1: a positive integer M is defined, from taking out matrix SubList in step 2.12, and from matrix SubList Middle taking-up matrix Jt', t' ∈ [1,10];
Step 5.2: defining cyclic variable n, n ∈ [1, M], calculating matrix Jt'The sum of every a line is denoted as matrix D e, matrix What is stored in De is the degree of node t' rank neighbours;
Step 5.3: if n≤M, jumping to step 5.4, not so jump to step 5.9;
Step 5.4: matrix Jt'In node treat as live-vertex, its neighbor node w is had an impact, w is activated Probability be p, and chance is only once;P=1/degree, degree are the numbers in the matrix D e acquired in step 5.2;
Step 5.5: the success if node w is activated, node w switch to active state, and inactive section will be abutted to it Point has an impact;Otherwise, node w does not change;
Step 5.6: repeating step 5.4 and 5.5, until being unable to the new node of reactivation, communication process terminates;
Step 5.7: the number for the node that each node activates in the data set of product on line is exactly its influence power, It is denoted as matrix IN;
Step 5.8:n=n+1;
Step 5.9: the influence power that M times is acquired being added up, then divided by M, seeks each node in the entire network Average influence is all placed in matrix L IN;
Step 5.10: the value in matrix L IN being ranked up, selected value maximum S, corresponding node is just Beginning user.
By on 10 lines in Product Data Set calculate node t rank neighbours, then ask node in t rank neighbours Influence power assigns 1,2,3,4,5,6,7,8,9,10 as horizontal axis, indicates the rank neighbours from 1 to 10 of node;Every single order neighbours are corresponding Influence power as the longitudinal axis, carry out picture comparison.It can be found that each data set has an optimal value, it is most optimal Value is 3.Therefore 3 rank neighbours of node are calculated the influence power of each node, chooses maximum S as seed node It is a to be used as initial user.The time complexity and computing cost of algorithm are reduced, effect is also fine.

Claims (6)

1. a kind of method that initial user is chosen in product distribution on line, which comprises the steps of:
(1) data set of product on line is handled, obtains true topology diagram G (V, E);Wherein, V indicates to produce on line Node set in product G, E indicate the set on the side on line in product G, seek the gesture on node and side;P is inputted, P is separate stage gang mould The node v that is activated activates the probability of its unactivated out-degree neighbor node in type, inputs S, and S is that selected seed node is i.e. first The number of beginning user;
(2) the t rank neighbours of each node acquired, are placed on a big collection SubList by the t rank neighbours for calculating each node In, t=1,2,3,4,5,6,7,8,9,10;
(3) each node is treated as initial user, it is a network that the t rank neighbours of each node, which are treated as, allows each section Point carries out R independent cascade model to his t rank neighbours and propagates, and R is the positive integer of oneself definition, calculates each node to his The average influence of t rank neighbours, t=1,2,3,4,5,6,7,8,9,10;
(4) node t rank neighbours are ranked up from big to small according to influence power, choose maximum 50 of influence power in every rank neighbours Node finds that the t' rank neighbours influence power of node is maximum by comparing, t=1,2,3, and 4,5,6,7,8,9,10, and t' ∈ t;
(5) it carries out K independent cascade model in the entire network to node all in the rank neighbours of node to propagate, t' is step 5 values asked, K are the positive integers of oneself definition, and maximum S node is chosen in the t' rank neighbours of node and is used as initial Family.
2. the method that initial user is chosen in product distribution on a kind of line according to claim 1, which is characterized in that the step Suddenly handled the data set of product on line that specific step is as follows in (1):
(1.1) on strikethrough present in the data set of product from ring, obtain true topology diagram G (V, E), G is adjacent Matrix;
(1.2) gesture of node is exactly how many node in G, while gesture be exactly in G how many while, acquire node gesture m and The gesture n on side;
(1.3) independent cascade is a kind of probabilistic model, and when a node v is activated, it can be unactivated out to it with probability P Side neighbor node w attempts activation, and this trial only carries out once, and is independent from each other between these trials, i.e., v is to w Activation not will receive the influences of other nodes;Probability P is tested to be defined at the beginning, therefore according to user in social networks Neighbours choose in maximizing influence start node, P=1/degree;Degree is the degree of node, calculates the every of adjacency matrix G The sum of a line is denoted as matrix D egree, is the corresponding degree of node.
3. the method that initial user is chosen in product distribution on a kind of line according to claim 2, which is characterized in that the step Suddenly specific step is as follows by calculate node t rank neighbours in (2):
(2.1) row/column of the adjacency matrix G in step (1.1) is numbered, the first row/column is 1, and the second row/column is 2 ... Successively label;
(2.2) the 1 rank neighbours for seeking node i, the empty matrix D, m for setting m row m column are the nodes acquired in step (1.2) Gesture;0 that the i-th row i-th of matrix D is arranged is changed to 1, calculating matrix D*G, and what is acquired is the subgraph of 1 rank neighbours of node i, definition For J1
(2.3) the 2 rank neighbours for seeking node i, take the i-th row of adjacency matrix G, are set as matrix A, and i-th of number of matrix A is changed to 1, A matrix B is generated, diagonal line is matrix A, remaining is all 0;Calculating matrix B*G, what is acquired is the son of 2 rank neighbours of node i Figure, is defined as J2
(2.4) 3 rank neighbours of node i, first calculating G+G*G are asked, matrix F 1 is denoted as, the number in matrix F 1 not being 0 is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 1, is set as Matrix C 1, and i-th of number of Matrix C 1 is changed to 1, a matrix E1 is generated, diagonal line is Matrix C 1, and remainder is all 0;Calculating matrix E1*G, that acquire is the 3 ranks neighbour of node i The subgraph in residence, is defined as J3
(2.5) 4 rank neighbours of node i, first calculating G+G are asked2+G3, it is set as matrix F 2, the number in matrix F 2 not being 0 is all set It is 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 2, is set as Matrix C 2, and i-th of number of Matrix C 2 is changed It is 1, generates a matrix E2, diagonal line is Matrix C 2, and remainder is all 0;Calculating matrix E2*G, what is acquired is 4 ranks of node i The subgraph of neighbours, is defined as J4
(2.6) 5 rank neighbours of node i, first calculating G+G are asked2+G3+G4, it is set as matrix F 3, the number in matrix F 3 not being 0 It is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 3, is set as Matrix C 3, i-th of Matrix C 3 Number is changed to 1, generates a matrix E3, diagonal line is Matrix C 3, and remainder is all 0;Calculating matrix E3*G, what is acquired is node i 5 rank neighbours subgraph, be defined as J5
(2.7) 6 rank neighbours of node i, first calculating G+G are asked2+G3+G4+G5, it is set as matrix F 4, not being 0 in matrix F 4 Number is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 4, is set as Matrix C 4, the i-th of Matrix C 4 Number is changed to 1, generates a matrix E4, and diagonal line is Matrix C 4, and remainder is all 0;Calculating matrix E4*G, what is acquired is node The subgraph of the 6 rank neighbours of i, is defined as J6
(2.8) 7 rank neighbours of node i, first calculating G+G are asked2+G3+G4+G5+G6, it is set as matrix F 5, not being 0 in matrix F 5 Number be all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 5, is set as Matrix C 5, the of Matrix C 5 I number is changed to 1, generates a matrix E5, and diagonal line is Matrix C 5, and remainder is all 0;Calculating matrix E5*G, what is acquired is section The subgraph of the 7 rank neighbours of point i, is defined as J7
(2.9) 8 rank neighbours of node i, first calculating G+G are asked2+G3+G4+G5+G6+G7, be set as matrix F 6, in matrix F 6 not It is that 0 number is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 6, is set as Matrix C 6, Matrix C 6 I-th of number be changed to 1, generate a matrix E6, diagonal line is Matrix C 6, and remainder is all 0;Calculating matrix E6*G, is acquired It is the subgraph of 8 rank neighbours of node i, is defined as J8
(2.10) 9 rank neighbours of node i, first calculating G+G are asked2+G3+G4+G5+G6+G7+G8, it is set as matrix F 7, matrix F 7 In be not that 0 number is all set to 1, and the number on diagonal line is all set to 0;The i-th row for taking matrix F 7, is set as Matrix C 7, square I-th of number of battle array C7 is changed to 1, generates a matrix E7, diagonal line is Matrix C 7, and remainder is all 0;Calculating matrix E7*G, is asked What is obtained is the subgraph of 9 rank neighbours of node i, is defined as J9
(2.11) 10 rank neighbours of node i, first calculating G+G are asked2+G3+G4+G5+G6+G7+G8+G9It is set as matrix F 8, matrix It is not that 0 number is all set to 1, and the number on diagonal line is all set to 0 in F8;The i-th row for taking matrix F 8, is set as Matrix C 8, I-th of number of Matrix C 8 is changed to 1, generates a matrix E8, and diagonal line is Matrix C 8, and remainder is all 0;Calculating matrix E8*G, What is acquired is the subgraph of 10 rank neighbours of node i, is defined as J10
(2.12) subgraph of the 1 rank node of all node i ∈ V is all in J1In, the subgraph of the 2 rank nodes of all node i ∈ V all exists J2In, the subgraph of the 3 rank nodes of all node i ∈ V is all in J3In, the subgraph of the 4 rank nodes of all node i ∈ V is all in J4In, The subgraph of the 5 rank nodes of all node i ∈ V is all in J5In, the subgraph of the 6 rank nodes of all node i ∈ V is all in J6In, Suo Youjie The subgraph of the 7 rank nodes of point i ∈ V is all in J7In, the subgraph of the 8 rank nodes of all node i ∈ V is all in J8In, all node i ∈ V 9 rank nodes subgraph all in J9In, the subgraph of the 10 rank nodes of all node i ∈ V is all in J10In, J1、J2、J3、J4、J5、 J6、J7、J8、J9、J10It is placed in matrix SubList.
4. the method that initial user is chosen in product distribution on a kind of line according to claim 3, which is characterized in that the step Suddenly specific step is as follows for calculate node average influence in (3):
(3.1) a positive integer R, empty matrix In are defined;
(3.2) sum of every a line of calculating matrix G, is placed in matrix degree, and what is stored in matrix degree is each node Degree;Define cyclic variable m, m ∈ [1, R];
(3.3) if m≤R, step (3.4) are jumped to, not so jump to step (3.10);
(3.4) node i is treated as live-vertex, its neighbor node v is had an impact, the probability for activating v is p, and chance Only once;P=1/degree, degree are the degree of the node i acquired in step 302;V belongs to the t rank neighbours of node i, t= 1,2,3,4,5,6,7,8,9,10;
(3.5) success if node v is activated, node v switch to active state, and inactive node will be abutted to it and generates shadow It rings;Otherwise, node v does not change;
(3.6) step (3.3) and (3.4) are repeated, until being unable to the new node of reactivation, communication process terminates;
(3.7) number for the node that each node activates in t rank neighbours is exactly its influence power;
(3.8) there are the influence powers in matrix In1, in its 2 rank neighbours for influence power of each node in its 1 rank neighbours There are in matrix In2, the influence power in its 3 rank neighbours there are in matrix In3, deposit by the influence power in its 4 rank neighbours In matrix In4, there are in matrix In5, the influence power in its 6 rank neighbours exists the influence power in its 5 rank neighbours In matrix In6, the influence power in its 7 rank neighbours is there are in matrix In7, and there are squares for the influence power in its 8 rank neighbours In battle array In8, the influence power in its 9 rank neighbours is there are in matrix In9, and there are matrixes for the influence power in its 10 rank neighbours In In10;
(3.9) m=m+1;
(3.10) influence power that R times is acquired is added up, then divided by R, seeks average shadow of each node in its t rank neighbour It rings, is placed in matrix In.
5. the method that initial user is chosen in product distribution on a kind of line according to claim 4, which is characterized in that the step Suddenly optimal node t ' rank neighbours being chosen in (4), specific step is as follows:
(4.1) to matrix In1, In2, In3, In4, In5, In6, In7, In8, In9, the value inside In10 arranged from big to small Sequence;
(4.2) matrix In1, In2, In3, In4, In5, In6, In7, In8, In9, preceding 50 numerical value in In10, by suitable are chosen Sequence is placed on matrix Z1, Z2, Z3, Z4, Z5, Z6, Z7, Z8, Z9, in Z10;
(4.3) it draws, it is 10 numbers that horizontal axis, which is 1 to 10, and the longitudinal axis is matrix Z1, Z2, Z3, Z4, Z5, Z6, Z7, Z8, Z9, in Z10 Number, find in t=t', the number on the longitudinal axis is maximum, that is, t' neighbours' influence power of node is maximum.
6. the method that initial user is chosen in product distribution on a kind of line according to claim 5, which is characterized in that the step Suddenly initial user being chosen in (5), specific step is as follows:
(5.1) a positive integer M is defined, from taking-up matrix SubList in step (2.12), and is taken out from matrix SubList Matrix Jt', t' ∈ [1,10];
(5.2) cyclic variable n, n ∈ [1, M], calculating matrix J are definedt'The sum of every a line is denoted as matrix D e, stores in matrix D e Be node t' rank neighbours degree;
(5.3) if n≤M, step (5.4) are jumped to, not so jump to step (5.9);
(5.4) matrix Jt'In node treat as live-vertex, its neighbor node w is had an impact, make w activate probability be P, and chance is once;P=1/degree, degree are the numbers in the matrix D e acquired in step (5.2);
(5.5) success if node w is activated, node w switch to active state, and inactive node will be abutted to it and generates shadow It rings;Otherwise, node w does not change;
(5.6) step (5.4) and (5.5) are repeated, until being unable to the new node of reactivation, communication process terminates;
(5.7) number for the node that each node activates in the data set of product on line is exactly its influence power, is denoted as matrix IN;
(5.8) n=n+1;
(5.9) influence power that M times is acquired is added up, then divided by M, seeks the average shadow of each node in the entire network It rings, is all placed in matrix L IN;
(5.10) value in matrix L IN is ranked up, selected value maximum S, corresponding node is initial user.
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