CN114330468A - Classifier screening method and system based on dynamic programming and computer equipment - Google Patents
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Abstract
The invention relates to a classifier screening method, a system and computer equipment based on dynamic programming, which comprises the following steps: sequencing the sample data, and converting the sample data into a vector matrix; obtaining VUS estimated values under three types of classifier ROC curved surfaces by using a dynamic programming algorithm according to the vector matrix; substituting the VUS estimated value and the vector matrix into the VUS variance expression to solve the VUS variance value; and comparing according to the VUS variance value to obtain a VUS maximum estimation value, and taking the classifier of the maximum estimation value as an optimal classifier. Sequencing the existing data, and converting the existing data into a vector matrix; obtaining VUS estimated values under three types of classifier ROC curved surfaces and corresponding variance values by using a dynamic programming algorithm according to the vector matrix; comparing VUS maximum estimation values obtained by a dynamic programming algorithm, and taking a classifier of the maximum estimation values as an optimal classifier, wherein the method is based on linear time and is faster than quadratic time; compared with the wegman method, the estimators are unbiased, making their computational load smaller.
Description
Technical Field
The invention relates to the field of machine learning, in particular to a classifier screening method and system based on dynamic programming and computer equipment.
Background
Classification is a supervised learning process in machine learning. The so-called classification problem, i.e. the classification of the examination results of a patient into sick and healthy by using a machine learning algorithm, is a medical classification problem (the data to be distinguished is divided into two categories). For another example, in an e-mail box, after receiving the mail, the e-mail box will classify our mail into advertisement mail, junk mail and normal mail, which is a multi-classification problem.
Receiver Operating Characteristic (ROC) analysis has found widespread use in both types of problems. An ROC curve is defined based on different decision threshold settings, which is a graph of false positive rate versus true positive rate (sensitivity). The area under the ROC curve (AUC) can be analytically or empirically calculated as an index to summarize the overall performance of the binary classifier. However, three types of problems are often encountered in practice, particularly in regional medicine. In order to evaluate the performance of the three classes of classifiers, researchers have proposed volume under three classes of ROC surfaces (VUS) as a value index, and others have proposed various methods to estimate the mean and variance of VUS. However, to our knowledge, existing methods are subject to heavy computational loads.
Chinese invention patent CN107562880A discloses "a classification result screening method and apparatus based on multi-stage classifier", published as 2018, month 01, 09: acquiring an initial request and a classification result of a multi-stage classifier; the classification result is the result of the multi-stage classifier on classification of the predicted text information; the classification result comprises a set of x classification paths, wherein x is a positive integer greater than or equal to 1; screening the classification result by using a preset rule corresponding to the initial request to obtain a target result; and the target result is output, a target result which is more accurate and meets the requirements and predicted text information are provided for a user, the interference of excessive results of the multi-stage classifier on useful information is avoided, the text classification efficiency and effect are improved, and in addition, the screening method can be arbitrarily combined, and the complex multi-directional screening requirement can be met. But the method uses multi-stage classifiers for screening any combination, and the computational load of the screening method is extremely large.
Disclosure of Invention
The invention provides a classifier screening method, a system and computer equipment based on dynamic programming, aiming at solving the technical defect of large computational load of the existing classifier screening method.
In order to realize the purpose, the technical scheme is as follows:
a classifier screening method based on dynamic programming comprises the following steps:
s1: sequencing the sample data, and converting the sample data into a vector matrix;
s2: obtaining VUS estimated values under the ROC curved surface of the three types of classifiers by using a dynamic programming algorithm according to the vector matrix;
s3: substituting the VUS estimated value and the vector matrix into the VUS variance expression to solve the VUS variance value;
s4: and comparing according to the VUS variance value to obtain a VUS maximum estimation value, and taking the classifier of the maximum estimation value as an optimal classifier.
In the scheme, the existing data is sequenced and converted into a vector matrix; obtaining VUS estimated values under the ROC curved surface of the three types of classifiers and corresponding variance values by using a dynamic programming algorithm according to the vector matrix; comparing VUS maximum estimation values obtained by a dynamic programming algorithm, and taking a classifier of the maximum estimation values as an optimal classifier, wherein the method is based on linear time and is faster than quadratic time; compared with the Wegener method, the estimation quantity is unbiased, so that the calculation load is smaller.
Preferably, in step S1, the vector matrix is solved as follows:
let D1,...,DN,N=n1+n2+n3Is thatThe D sequence is sequenced according to ascending order to obtain a sequence statistical information sequence;
D(1)=…=D(1)<…<D(j)=…=D(j)(=D(i))<…<D(k)=…=D(K)
let a be when i 1i、bi、ciAre each X3k、X2j、X1iIn sequence with D(i)The same number of the technical vectors can be obtainedForming a vector matrix:
n1、n2、n3sample sizes, X, of three classes, respectively3k、X2j、X1iSample sequences of three classes, respectively.
Preferably, in step S2, the VUS expression of the dynamic programming algorithm is:
Preferably, in the three classes of classifiers, the dynamic programmingThe items represent the number of events that satisfy the relationship in respective brackets, based on the dynamic programming item S1、S2、.......、S9The expression of (a) is:
n1、n2、n3sample sizes, X, of three classes, respectively3、X2、X1Are respectively a sample of three classesThe sequence is shown in the specification.
Preferably, the dynamic planning S1、S2、.......、S9The satisfying conditions are as follows:
S1,ε(X3>X2>X1);
S2,ε(X3>X′3>X2>X1) Or epsilon (X'3>X3>X2>X1);
S3,ε(X3>X2>X′2>X1) Or ε (X)3>X′2>X2>X1);
S4,ε(X3>X2>X′1>X1) Or ε (X)3>X2>X1>X′1);
S5,ε(X3>X′3>X2>X′2>X1) Or epsilon (X'3>X3>X2>X′2>X1)
ε(X3>X′3>X′2>X2>X1) Or epsilon (X'3>X3>X′2>X2>X1);
S6,ε(X3>X2>X′3>X′2>X1) Or epsilon (X'3>X′2>X3>X2>X1);
S7,ε(X3>X′3>X2>X1>X′1) Or epsilon (X'3>X3>X2>X1>X′1)
ε(X3>X′3>X2>X′1>X1) Or epsilon (X'3>X′3>X2>X′1>X1);
S8,ε(X3>X2>X′2>X1>X′1) Or ε (X)3>X′2>X2>X1>X′1)
ε(X3>X2>X′2>X′1>X1) Or ε (X)3>X′2>X2>X′1>X1);
S9,ε(X3>X2>X1>X′2>X′1) Or ε (X)3>X′2>X′1>X2>X1)。
Preferably, in step S3, according to the dynamic programming algorithm, the obtained variance expression of the VUS is as follows:
wherein
A classifier screening system based on dynamic programming applies a classifier screening method based on dynamic programming, and comprises the following steps: the VUS variance detection device comprises a screening module, a VUS calculation module, a VUS variance calculation module and a classification module; the data of the screening module is transmitted to a VUS calculation module, the data of the VUS calculation module is transmitted to a VUS variance calculation module, and the data of the VUS variance calculation module is transmitted to a classification module;
the screening module carries out sorting processing on the sample data and converts the sample data into a vector matrix;
the VUS calculation module obtains VUS estimated values of the three types of classifiers by using a dynamic programming algorithm according to the vector matrix;
the VUS variance calculation module substitutes the VUS estimated value and the vector matrix into the VUS variance expression to calculate a VUS variance value;
and the classification module compares the VUS maximum estimation value according to the VUS variance value, and takes the classifier of the maximum estimation value as an optimal classifier.
Preferably, the screening module sorts the sample data from small to large, and converts the sample data into a vector matrix.
Preferably, the VUS calculation module uses a dynamic programming algorithm to obtain a VUS estimation value under an ROC curved surface of the three types of classifiers according to the vector matrix.
A computer device is characterized by comprising a screening method and a screening system, wherein a computer program is stored in the device, and when the computer program is executed by a processor, the computer program realizes a classifier screening method based on dynamic programming.
Compared with the prior art, the invention has the beneficial effects that:
the invention provides a method for processing the existing data in a sequencing way, and converting the existing data into a vector matrix; obtaining VUS estimated values under three types of classifier ROC curved surfaces and corresponding variance values by using a dynamic programming algorithm according to the vector matrix; comparing the VUS maximum estimation value obtained under the dynamic programming algorithm, and taking the classifier of the maximum estimation value as an optimal classifier, wherein the method is based on linear time and is faster than secondary time; compared with the wegman method, the estimators are unbiased, making their computational load smaller.
Drawings
FIG. 1 is a flow chart of a method of the present invention;
FIG. 2 shows the vector matrix calculation S of the present invention1A diagram of;
FIG. 3 is a graph of the ROC surface profile of the present invention;
FIG. 4 is a block data flow diagram of the present invention.
Detailed Description
The drawings are for illustrative purposes only and are not to be construed as limiting the patent;
the invention is further illustrated below with reference to the figures and examples.
Example 1
As shown in fig. 1, fig. 2 and fig. 3, a classifier screening method based on dynamic programming includes the following steps:
s1: sequencing the sample data, and converting the sample data into a vector matrix;
s2: obtaining VUS estimated values under the ROC curved surface of the three types of classifiers by using a dynamic programming algorithm according to the vector matrix;
s3: substituting the VUS estimated value and the vector matrix into the VUS variance expression to solve the VUS variance value;
s4: and comparing according to the VUS variance value to obtain a VUS maximum estimation value, and taking the classifier of the maximum estimation value as an optimal classifier.
In the scheme, the existing data is sequenced and converted into a vector matrix; obtaining VUS estimated values under the ROC curved surface of the three types of classifiers and corresponding variance values by using a dynamic programming algorithm according to the vector matrix; comparing VUS maximum estimation values obtained by a dynamic programming algorithm, and taking a classifier of the maximum estimation values as an optimal classifier, wherein the method is based on linear time and is faster than quadratic time; compared with the Wegener method, the estimation quantity is unbiased, so that the calculation load is smaller.
Preferably, in step S1, the vector matrix is solved as follows:
let D1,...,DN,N=n1+n2+n3Is thatThe D sequence is sequenced according to ascending order to obtain a sequence statistical information sequence;
D(1)=…=D(1)<…<D(j)=…=D(j)(=D(i))<…<D(k)=…=D(K)
let a be when i 1i、bi、ciAre each X3k、X2j、X1iIn sequence with D(i)The same number of the technical vectors can be obtainedForming a vector matrix:
n1、n2、n3sample sizes, X, of three classes, respectively3k、X2j、X1iSample sequences of three classes, respectively.
In the foregoing solution, specifically, in an optional embodiment, the text of the sample data may be a news text. The classification problem is visible everywhere in life, such as gender classification, age classification, height classification, face recognition and the like. In the face of three classification problems, such as blood pressure measurement, three results can be obtained, hypotension, normotensive blood pressure, and hypertension, which are equivalent to three types of samples, forming ROC curve. For both three-class and multi-class problems, a dynamic programming algorithm can be used to solve the VUS and its variance.
Preferably, in step S2, the VUS expression of the dynamic programming algorithm is:
Preferably, in the three classes of classifiers, the dynamic programming term represents the number of events satisfying the relationship in respective brackets based on the dynamic programming term S1、S2、.......、S9The expression of (a) is:
n1、n2、n3sample sizes, X, of three classes, respectively3、X2、X1Sample sequences of three classes, respectively.
Preferably, the dynamic planning S1、S2、.......、S9The satisfying conditions are as follows:
S1,ε(X3>X2>X1);
S2,ε(X3>X′3>X2>X1) Or epsilon (X'3>X3>X2>X1);
S3,ε(X3>X2>X′2>X1) Or ε (X)3>X′2>X2>X1);
S4,ε(X3>X2>X′1>X1) Or ε (X)3>X2>X1>X′1);
S5,ε(X3>X′3>X2>X′2>X1) Or epsilon (X'3>X3>X2>X′2>X1)
ε(X3>X′3>X′2>X2>X1) Or epsilon (X'3>X3>X′2>X2>X1);
S6,ε(X3>X2>X′3>X′2>X1) Or epsilon (X'3>X′2>X3>X2>X1);
S7,ε(X3>X′3>X2>X1>X′1) Or epsilon (X'3>X3>X2>X1>X′1)
ε(X3>X′3>X2>X′1>X1) Or ε ((X)3>X′3>X2>X′1>X1));
S8,ε(X3>X2>X′2>X1>X′1) Or ε (X)3>X′2>X2>X1>X′1)
ε(X3>X2>X′2>X′1>X1) Or ε (X)3>X′2>X2>X′1>X1);
S9,ε(X3>X2>X1>X′2>X′1) Or ε (X)3>X′2>X′1>X2>X1)。
Preferably, in step S3, according to the dynamic programming algorithm, the obtained variance expression of the VUS is as follows:
wherein
Example 2
As shown in fig. 4, a classifier screening system based on dynamic programming applies a classifier screening method based on dynamic programming, which includes: the VUS variance detection device comprises a screening module, a VUS calculation module, a VUS variance calculation module and a classification module; the data of the screening module is transmitted to the VUS calculation module, the data of the VUS calculation module is transmitted to the VUS variance calculation module, and the data of the VUS variance calculation module is transmitted to the classification module;
the screening module carries out sorting processing on the sample data and converts the sample data into a vector matrix;
the VUS calculation module obtains VUS estimated values of the three types of classifiers by using a dynamic programming algorithm according to the vector matrix;
the VUS variance calculation module substitutes the VUS estimated value and the vector matrix into the VUS variance expression to calculate a VUS variance value;
and the classification module compares the VUS maximum estimation value according to the VUS variance value, and takes the classifier of the maximum estimation value as an optimal classifier.
Preferably, the screening module sorts the sample data from small to large, and converts the sample data into a vector matrix. Preferably, the VUS calculation module uses a dynamic programming algorithm to obtain a VUS estimation value under an ROC curved surface of the three types of classifiers according to the vector matrix.
It should be understood that the above-described embodiments of the present invention are merely examples for clearly illustrating the present invention, and are not intended to limit the embodiments of the present invention. It will be apparent to those skilled in the art that other variations and modifications can be made on the basis of the above description. And are neither required nor exhaustive of all embodiments. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention should be included in the protection scope of the claims of the present invention.
Claims (10)
1. A classifier screening method based on dynamic programming is characterized by comprising the following steps:
s1: sequencing the sample data, and converting the sample data into a vector matrix;
s2: obtaining VUS estimated values under three types of classifier ROC curved surfaces by using a dynamic programming algorithm according to the vector matrix;
s3: substituting the VUS estimated value and the vector matrix into the VUS variance expression to solve the VUS variance value;
s4: and comparing according to the VUS variance value to obtain a VUS maximum estimation value, and taking the classifier of the maximum estimation value as an optimal classifier.
2. The dynamic programming-based classifier screening method according to claim 1, wherein in step S1, the vector matrix is solved as follows:
let D1,...,DN,N=n1+n2+n3Is X11,...,X21,...,X2n2,X31,...,The D sequence is sequenced according to ascending order to obtain a sequence statistical information sequence;
D(1)=…=D(1)<…<D(j)=…=D(j)(=D(i))<…<D(k)=…=D(K)
let a be when i 1i、bi、ciAre each X3k、X2j、X1iIn sequence with D(i)The same number of the technical vectors can be obtainedForming a vector matrix:
n1、n2、n3sample sizes, X, of three classes, respectively3k、X2j、X1iSample sequences of three classes, respectively.
4. A dynamic programming based classification as claimed in claim 3The method for screening the classifier is characterized in that in the three classes of classifiers, the dynamic programming items represent the number of events which satisfy the relationship in brackets of each classifier, and the dynamic programming items S are based on1、S2、.......、S9The expression of (a) is:
n1、n2、n3sample sizes, X, of three classes, respectively3、X2、X1Sample sequences of three classes, respectively.
5. The dynamic programming-based classifier screening method according to claim 4, wherein the dynamic programming S is1、S2、.......、S9The satisfying conditions are as follows:
S1,ε(X3>X2>X1);
S2,ε(X3>X′3>X2>X1) Or epsilon (X'3>X3>X2>X1);
S3,ε(X3>X2>X′2>X1) Or ε (X)3>X′2>X2>X1);
S4,ε(X3>X2>X′1>X1) Or ε (X)3>X2>X1>X′1);
S5,ε(X3>X′3>X2>X′2>X1) Or epsilon (X'3>X3>X2>X′2>X1)ε(X3>X′3>X′2>X2>X1) Or epsilon (X'3>X3>X′2>X2>X1);
S6,ε(X3>X2>X′3>X′2>X1) Or epsilon (X'3>X′2>X3>X2>X1);
S7,ε(X3>X′3>X2>X1>X′1) Or epsilon (X'3>X3>X2>X1>X′1)ε(X3>X′3>X2>X′1>X1) Or epsilon (X'3>X3>X2>X′1>X1);
S8,ε(X3>X2>X′2>X1>X′1) Or ε (X)3>X′2>X2>X1>X′1)ε(X3>X2>X′2>X′1>X1) Or ε (X)3>X′2>X2>X′1>X1);
S9,ε(X3>X2>X1>X′2>X′1) Or ε (X)3>X′2>X′1>X2>X1)。
7. A classifier screening system based on dynamic programming, which applies the classifier screening method based on dynamic programming according to claim 1, and is characterized by comprising: the VUS variance detection device comprises a screening module, a VUS calculation module, a VUS variance calculation module and a classification module; the data of the screening module is transmitted to the VUS calculation module, the data of the VUS calculation module is transmitted to the VUS variance calculation module, and the data of the VUS variance calculation module is transmitted to the classification module;
the screening module carries out sorting processing on the sample data and converts the sample data into a vector matrix;
the VUS calculation module obtains VUS estimated values of the three types of classifiers by using a dynamic programming algorithm according to the vector matrix;
the VUS variance calculation module substitutes the VUS estimated value and the vector matrix into the VUS variance expression to calculate a VUS variance value;
and the classification module compares the VUS maximum estimation value according to the VUS variance value, and takes the classifier of the maximum estimation value as an optimal classifier.
8. The dynamic programming-based classifier filtering system of claim 7, wherein said filtering module sorts the sample data from small to large and converts it into a vector matrix.
9. The system of claim 8, wherein the VUS calculation module uses a dynamic programming algorithm to obtain VUS estimates for three types of classifiers ROC based on the vector matrix.
10. A computer device comprising a screening method and a screening system, wherein the device stores a computer program, and the computer program is executed by a processor to implement the dynamic programming-based classifier screening method according to any one of claims 1 to 6.
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