CN109165244A - A kind of stream data processing method of the online multidimensional output based on correlation - Google Patents

A kind of stream data processing method of the online multidimensional output based on correlation Download PDF

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CN109165244A
CN109165244A CN201811035273.4A CN201811035273A CN109165244A CN 109165244 A CN109165244 A CN 109165244A CN 201811035273 A CN201811035273 A CN 201811035273A CN 109165244 A CN109165244 A CN 109165244A
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multidimensional
correlation
support vector
outcome variable
regression model
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王甫
张玉强
胡权威
栾京东
李金旭
马琪
杜鹏
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Qingdao Marine Science And Technology Pilot National Laboratory Development Center
Beijign Institute of Aerospace Control Devices
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China Aerospace Times Electronics Corp
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2216/00Indexing scheme relating to additional aspects of information retrieval not explicitly covered by G06F16/00 and subgroups
    • G06F2216/03Data mining

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Abstract

A kind of stream data processing method of the online multidimensional output based on correlation, the relevance measure between the multidimensional outcome variable of multivariate regression estimation function is chosen first, relevance measure is learnt using stream data, obtain the correlation between the multidimensional outcome variable of multivariate regression estimation function, then multidimensional outcome variable correlation regularization model is established, and then obtain the multidimensional outcome variable correlation study system of multidimensional outcome variable, finally it is based on multidimensional outcome variable correlation study system, obtain multi output support vector regression model and its estimation function based on correlation, multi output support vector regression model is updated according to the new sample that multidimensional output training dataset is added simultaneously.

Description

A kind of stream data processing method of the online multidimensional output based on correlation
Technical field
The present invention relates to being related to the fields such as big data correlation analysis and machine learning, it is especially a kind of based on correlation The stream data processing method of line multidimensional output.
Background technique
Currently, all trades and professions have had accumulated a large amount of data resource, how various big datas are effectively analyzed, And it is efficiently excavated from big data and is hidden in the useful information of its behind and then predicts that the development trend in things future is current Information science field research hotspot.
Technology of the regression estimates as a kind of effective data mining and prediction in multidimensional output study is extensive Applied to Prediction of Stock Price, the prediction of emergency worker's injures and deaths, fault diagnosis, channel estimation, air fare prediction, forecasting wind speed, The fields such as computer vision.Multidimensional output regression is intended to the functional dependence between Mining Multidimensional input variable and multidimensional outcome variable Relationship, and predict the following multidimensional output valve for inputting sample simultaneously using learned multivariate regression estimation function.Its basic assumption It is between multidimensional outcome variable that there are correlations, and learn this correlation to obtain better estimated performance.
The research of existing multi output support vector regression model can be divided into two classes: the method and algorithm adaptability of problem conversion Method.The method of problem conversion is that multi output problem is converted to multiple single output problems, exports supporting vector by means of single The method of recurrence models different single output problems, is become by integrating multiple and different single output regression models and exporting to multidimensional Amount is predicted.This method is convenient to carry out, but the calculation amount in training process is but very big, while having ignored output variable Between potential correlation, independently different output variables are predicted, may cause and predict inaccurate problem.Algorithm is suitable The method of answering property is to could be adjusted to processing multi output problem by the algorithm to single output problem, and this method can not only be right simultaneously Multidimensional outcome variable is predicted, also can sufficiently be constructed and be explained the correlation between output variable.With the method for problem conversion It compares, the method for algorithm adaptability can be easier to explain multi-output regression model, while also ensure that acquisition one is more accurate Multidimensional exports prediction model.
However existing multi output support vector regression model is only realized and is carried out from the correlation between output variable Preliminary exploration, however the problem of some keys still has to be solved, is mainly reflected in:
Relativity problem.The correlation analysis of big data can for big data depth analysis and excavate so find things in Rule provides " navigation " function, and the correlation analysis for incorporating big data can sufficiently excavate correlation between output variable, while Help to improve the estimated performance of multi output learning system.However, existing multi output support vector regression does not merge big data Correlation analysis is modeled.
Lack the stability and generalization of model.Generalization ability is the important indicator for evaluating a model superiority and inferiority, is also It practises algorithm and theoretical guarantee is provided.The extensive error of single output support vector regression has been widely studied, and has more been stepped up The upper error to gather, however the research of existing multi output support vector regression is also not directed to the research of stability and generalization, it Cannot theoretically guarantee the good estimated performance of model.
The online adaptive capability problems of streaming big data.Existing multi-output regression model is in batch mode of learning mostly Lower design, i.e., hypothesis possesses whole training examples before learning and can be by once learning to obtain final estimation function.But If in practical application data it is excessive cannot disposably handle or simply because the arrival of new data and to abandon learning outcome, again Total data is learnt, it will take a substantial amount of time and space resources.
Therefore, a technical problem for needing urgently to solve instantly is exactly: to adapt to big data background downflow system data Feature further increases the estimated performance of multi-output regression, and that how to innovate proposes a kind of effective measures, existing to solve The problem of with the presence of technology, meets the greater demand of practical application.
Summary of the invention
Technical problem solved by the present invention is having overcome the deficiencies of the prior art and provide a kind of based on the online of correlation The stream data processing method of multidimensional output, effectively manages streaming big data, completes the analysis of streaming data, realizes information The real-time prediction of all kinds of states and real-time fault diagnosis in scientific domain.
The technical solution of the invention is as follows: a kind of stream data processing side of the online multidimensional output based on correlation Method includes the following steps:
Step S101 chooses the relevance measure between the multidimensional outcome variable of multivariate regression estimation function, then using stream Formula data learn the relevance measure between multidimensional outcome variable, and the multidimensional output for obtaining multivariate regression estimation function becomes Correlation between amount;
Step S102 establishes multidimensional outcome variable correlation regularization model, constructs the multidimensional output of multidimensional outcome variable Correlation of variables learning system;
Step S103 is based on multidimensional outcome variable correlation study system, constructs and solve the multi output based on correlation Support vector regression model;
Step S104, according to the new addition sample of error prediction in the estimation function of multi output support vector regression model Each weight vectors are updated;
Step S105 calculates the extensive upper error of multi output support vector regression model, the degree upper bound of regretting;
Step S106, according to the multidimensional output training dataset changed with stream data to multi output support vector regression mould Type and its estimation function are updated.
Using the form of covariance matrix to the multidimensional outcome variable of multivariate regression estimation function in the step S101 Correlation be indicated.
It is based on multidimensional outcome variable correlation study system in the step S103, constructs and solves based on correlation The method of multi output support vector regression model are as follows:
(1) damage of learning training is carried out using the relevance measure between hypersphere loss function measurement multidimensional outcome variable It loses;
(2) multi output is obtained using the Frobenius- norm of the constituted matrix of the corresponding weight vector of each multidimensional outcome variable The complexity of support vector regression model;
(3) it obtains and exports training dataset with the multidimensional that stream data changes, it is minimum on multidimensional output training dataset Change the hypersphere loss of all output variables, the correlation regularization term of model complexity and output variable, construction is based on phase The multi output support vector regression model of closing property;
(4) multi output support vector regression model is solved using interior point method or second order cone optimization, how defeated is obtained The estimation function of support vector regression model out.
Multi output support vector regression model is estimated according to the new addition sample of error prediction in the step S104 The method that each weight vectors are updated in meter function are as follows:
(1) the stream data sample being newly added is carried out using the estimation function of multi output support vector regression model pre- It surveys, judges whether the stream data sample being newly added is correct output valve, be then calculated according to obtained correct output valve The hypersphere of the new stream data sample loses;
(2) if hypersphere loss is 0, not to each weight vectors in the estimation function of multi output support vector regression model It is updated, if hypersphere loss is not 0, training dataset is exported according to the multidimensional after the new stream data sample of addition, more Each weight vectors in the estimation function of new multi output support vector regression model.
A kind of computer readable storage medium, the computer-readable recording medium storage has computer program, described Computer program the step of the method as any such as claim 1- claim 4 is realized when being executed by processor
A kind of stream data processing system of the online multidimensional output of correlation, including it is learning system constructing module, how defeated Support vector regression model generates update module out, in which:
Learning system constructing module chooses the relevance measure between the multidimensional outcome variable of multivariate regression estimation function, so The relevance measure between multidimensional outcome variable is learnt using stream data afterwards, obtains the more of multivariate regression estimation function Tie up the correlation between output variable;
Multi output support vector regression model generates update module, establishes multidimensional outcome variable correlation regularization model, The multidimensional outcome variable correlation study system of multidimensional outcome variable is constructed, and solves the multi output supporting vector based on correlation Regression model, estimation function, extensive upper error, the sorry degree upper bound;According to the new addition sample of error prediction to multi output branch Each weight vectors in the estimation function of vector regression model are held to be updated.
The advantages of the present invention over the prior art are that:
(1) compared with prior art, the present invention being established by using big data correlation analysis and machine Learning Theory online Multi output support vector regression algorithm, using the correlation of big data as starting point, by defining relevance measure, relational learning etc. Correlation between basic conception Mining Multidimensional output variable, establishes the theoretical frame of output variable relational learning system, herein The multi output support vector regression model based on correlation is constructed under frame, and there is good use value;
(2) present invention proposes the definition of the uniform and stable property of multi output support vector regression model, studies its analysis of stability Analysis carries out theory analysis and estimation to the extensive upper error of model based on this, and then obtains the online multi output branch of two-way update Vector regression algorithm is held, the extensive upper error and the sorry degree upper bound to the on-line Algorithm carry out theory analysis and estimation, improve The estimated performance of multi-output regression.
Detailed description of the invention
Fig. 1 is a kind of stream data processing method flow chart of online multidimensional output based on correlation.
Specific embodiment
The present invention is by the correlation analysis of integrated use big data, Statistical Learning Theory, convex optimum theory, probability theory, engineering Practise the basic skills and newest research results with the related disciplines such as data mining, from the high coupling of big data, magnanimity and The features such as real-time, sets out, the method combined using theory deduction with experimental analysis, proposes a kind of based on the online of correlation Multidimensional exports support vector regression algorithm, and the method achieve the necks such as the real-time online prediction that will be applied to multidimensional output system Domain can further increase the estimated performance of multi-output regression.
The present invention is based on online multidimensional to export support vector regression method, including realizes process as follows:
To between the multidimensional weight vector of multivariate regression estimation function relevance measure and relational learning be defined;
Multidimensional outcome variable correlation regularization model is established, the relational learning system of multidimensional outcome variable is constructed;
Based on above-mentioned relational learning system, constructs and solve the multi output support vector regression model based on correlation;
The uniform and stable property of multi output support vector regression model is defined;
Weight in each output dimension of new addition sample and existing supporting vector to error prediction is updated;
The online multi output support vector regression algorithm of two-way update is constructed, in the extensive error for estimating proposed on-line Algorithm Boundary and the sorry degree upper bound;
The stream data in big data is chosen, experimental analysis is effective with the online multi output support vector regression model of verifying Property and high efficiency.
Multi output support vector regression model includes relevance measure, relational learning and the correlation between multidimensional outcome variable The theoretical frame of property regularization.Multi output support vector regression model includes the definition of uniform and stable property, extensive upper error Assessment.Online multi output support vector regression is related to each output dimension of the new addition sample to error prediction, existing supporting vector On weight update.On-line learning algorithm includes the online multi output support vector regression algorithm of two-way update.Online multi output Support vector regression algorithm includes extensive upper error, the sorry feasibility and high efficiency for spending the upper bound, on-line Algorithm.Extensive error The upper bound is shown using VC dimension table.The sorry degree upper bound is indicated using the upper bound of loss function gradient and the number of update.On-line Algorithm Feasibility and high efficiency be by carrying out experimental analysis in the streaming big data that multidimensional exports with compared with, when consideration multidimensional is defeated Out when correlation between variable, precision of prediction is more much higher than the method for not considering correlation, while in the processing big number of streaming According to when timeliness with higher.Further explanation and illustration is carried out to the method for the present invention with reference to the accompanying drawing.
The stream data processing method flow chart of online multidimensional output to be a kind of based on correlation as shown in Figure 1, this hair It is bright that the flow diagram of online multidimensional output support vector regression method is provided, comprising:
Step S101 chooses the relevance measure between the multidimensional outcome variable of multivariate regression estimation function, then uses Stream data learns the relevance measure between multidimensional outcome variable, obtains the multidimensional output of multivariate regression estimation function Correlation between variable;
For the correlation from profound level between Mining Multidimensional output variable, matrix variables normal state in probability theory point is utilized The concept of cloth, with the formal definition multidimensional outcome variable of the covariance matrix between the output variable of multivariate regression estimation function it Between relevance measure and the basic conceptions such as relational learning;
Step S102 establishes multidimensional outcome variable correlation regularization model, constructs the multidimensional output of multidimensional outcome variable Correlation of variables learning system;
Based on the theoretical frame of this correlation regularization for proposing multidimensional outcome variable, to construct multidimensional outcome variable Relational learning system;
Step S103 is based on multidimensional outcome variable correlation study system, constructs and solve the multi output based on correlation Support vector regression model;
In order to construct multi output support vector regression model, measured using hypersphere loss function multidimensional outcome variable it Between relevance measure carry out learning training loss, with the constituted matrix of the corresponding weight vector of each multidimensional outcome variable The complexity of Frobenius- norm multi output support vector regression model is obtained as stream data is continually changing more Dimension output training dataset, the hypersphere loss of all output variables of minimization, model are multiple on multidimensional output training dataset The correlation regularization term of miscellaneous degree and output variable, constructs the multi output support vector regression model based on correlation, utilizes The multi output support vector regression model that the theoretical proof of convex optimization is proposed is convex Optimized model, solves institute based on duality theory It is proposed model dual problem, using in convex optimization interior point method or second order cone optimization model is solved, to obtain The estimation function of multi output support vector regression model.
Step S104 carries out the weight in each output dimension of existing supporting vector according to the new addition sample of error prediction It updates;
The case where being continuously added training dataset at any time for stream data, in each round, all using current how defeated Regression estimates function predicts the stream data sample being newly added out, judges whether the stream data sample being newly added is positive True output valve, the hypersphere for obtaining the new stream data sample thereafter according to correct output valve obtained loses, if it loses It is 0, then each weight vectors of current regression estimates function is not updated;Otherwise according to new stream data sample is added after Multidimensional exports training dataset, updates each weight vectors in the estimation function of multi output support vector regression model;
Step S105 constructs the extensive upper error of multi output support vector regression model and the degree upper bound of regretting;
Theory analysis is carried out to above-mentioned proposed multi output support vector regression model, it is how defeated online to obtain two-way update Support vector regression algorithm out provides the pseudocode of the algorithm;
In order to theoretically guarantee that the online multi output support vector regression algorithm of the two-way update proposed (i.e. support by multi output Vector regression model) validity, use for reference the sorry degree of support vector regression model, property by analyzing the sorry degree is estimated The multi output support vector regression model upper bound, estimates the extensive upper error of the on-line Algorithm;
Step S106 chooses the stream data in big data, experimental analysis and the online multi output support vector regression of verifying The validity and high efficiency of model.
By carrying out experimental analysis in the streaming big data that multidimensional exports compared with, the online multi output proposed is verified The feasibility and high efficiency of support vector regression algorithm, when considering the correlation between multidimensional outcome variable, precision of prediction ratio The method for not considering correlation is much higher, while the timeliness with higher when handling streaming big data, obstructed when verifying It crosses (when obtaining the hypersphere loss of the new stream data sample for 0 according to correct output valve obtained), is transferred to step S104 updates each weight vectors in the estimation function of multi output support vector regression model, until online multi output supporting vector Regression model is verified.
The foregoing description of the disclosed embodiments enables those skilled in the art to implement or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, as defined herein General Principle can be realized in other embodiments without departing from the spirit or scope of the present invention.Therefore, of the invention It is not intended to be limited to the embodiments shown herein, and is to fit to and the principles and novel features disclosed herein phase one The widest scope of cause.
The content that description in the present invention is not described in detail belongs to the well-known technique of those skilled in the art.

Claims (6)

1. a kind of stream data processing method of the online multidimensional output based on correlation, it is characterised in that include the following steps:
Step S101 chooses the relevance measure between the multidimensional outcome variable of multivariate regression estimation function, then uses streaming number Learn according to the relevance measure between multidimensional outcome variable, obtain multivariate regression estimation function multidimensional outcome variable it Between correlation;
Step S102 establishes multidimensional outcome variable correlation regularization model, constructs the multidimensional outcome variable of multidimensional outcome variable Correlation study system;
Step S103 is based on multidimensional outcome variable correlation study system, constructs and solves the multi output based on correlation and supports Vector regression model;
Step S104, according to the new addition sample of error prediction to respectively being weighed in the estimation function of multi output support vector regression model Weight vector is updated;
Step S105 calculates the extensive upper error of multi output support vector regression model, the degree upper bound of regretting;
Step S106, according to the multidimensional output training dataset changed with stream data to multi output support vector regression model and Its estimation function is updated.
2. a kind of stream data processing method of online multidimensional output based on correlation according to claim 1, special Sign is: using the form of covariance matrix to the multidimensional outcome variable of multivariate regression estimation function in the step S101 Correlation is indicated.
3. a kind of stream data processing method of online multidimensional output based on correlation according to claim 1 or 2, It is characterized in that: based on multidimensional outcome variable correlation study system in the step S103, constructing and solve based on correlation Multi output support vector regression model method are as follows:
(1) loss of learning training is carried out using the relevance measure between hypersphere loss function measurement multidimensional outcome variable;
(2) multi output is obtained using the Frobenius- norm of the constituted matrix of the corresponding weight vector of each multidimensional outcome variable to support The complexity of vector regression model;
(3) it obtains and exports training dataset with the multidimensional that stream data changes, the minimization institute on multidimensional output training dataset There are the hypersphere loss of output variable, the correlation regularization term of model complexity and output variable, construction is based on correlation Multi output support vector regression model;
(4) multi output support vector regression model is solved using interior point method or second order cone optimization, obtains multi output branch Hold the estimation function of vector regression model.
4. a kind of stream data processing method of online multidimensional output based on correlation according to claim 1 or 2, It is characterized in that: multi output support vector regression model being estimated according to the new addition sample of error prediction in the step S104 The method that each weight vectors are updated in meter function are as follows:
(1) the stream data sample being newly added is predicted using the estimation function of multi output support vector regression model, is sentenced Whether the disconnected stream data sample being newly added is correct output valve, and the new stream then is calculated according to obtained correct output valve The hypersphere of formula data sample loses;
(2) if hypersphere loss is 0, weight vectors each in the estimation function of multi output support vector regression model are not carried out It updates, if hypersphere loss is not 0, training dataset is exported according to the multidimensional after the new stream data sample of addition, is updated more Export each weight vectors in the estimation function of support vector regression model.
5. a kind of computer readable storage medium, the computer-readable recording medium storage has computer program, feature It is, the step such as any the method for claim 1- claim 4 is realized when the computer program is executed by processor Suddenly.
6. the stream data processing system that a kind of online multidimensional of correlation exports, it is characterised in that construct mould including learning system Block, multi output support vector regression model generate update module, in which:
Learning system constructing module is chosen the relevance measure between the multidimensional outcome variable of multivariate regression estimation function, is then made The relevance measure between multidimensional outcome variable is learnt with stream data, the multidimensional for obtaining multivariate regression estimation function is defeated Correlation between variable out;
Multi output support vector regression model generates update module, establishes multidimensional outcome variable correlation regularization model, constructs The multidimensional outcome variable correlation study system of multidimensional outcome variable, and solve the multi output support vector regression based on correlation Model, estimation function, extensive upper error, the sorry degree upper bound;According to the new addition sample of error prediction to multi output support to Each weight vectors in the estimation function of regression model are measured to be updated.
CN201811035273.4A 2018-09-06 2018-09-06 A kind of stream data processing method of the online multidimensional output based on correlation Pending CN109165244A (en)

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