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CN109858509A - Based on multilayer stochastic neural net single classifier method for detecting abnormality - Google Patents

Based on multilayer stochastic neural net single classifier method for detecting abnormality Download PDF

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CN109858509A
CN109858509A CN201811305622.XA CN201811305622A CN109858509A CN 109858509 A CN109858509 A CN 109858509A CN 201811305622 A CN201811305622 A CN 201811305622A CN 109858509 A CN109858509 A CN 109858509A
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elm
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曹九稳
戴浩桢
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Hangzhou Dianzi University
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Hangzhou Dianzi University
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Abstract

The invention discloses one kind to be based on multilayer stochastic neural net single classifier method for detecting abnormality.Present invention input only includes the training dataset of normal class;Input sample data are handled by multilayer ELM-AE self-encoding encoder coding and decoding, the characteristic value reconstructed;The characteristic value input the last layer ELM of reconstruct is obtained into reality output;Then the range error vector for obtaining reality output and output label is ranked up from big to small, according to the threshold parameter of setting, determines the threshold value for separating normal class and exception class;Finally, test data is input in the multilayer stochastic neural net list abnormal classification detection model, the recognition effect of the model is tested.The present invention mutually more quickly and efficiently extracts main information and dimensionality reduction, then carries out identification classification.Faster, accuracy rate is higher for speed, and Generalization Capability is more preferable.It is applicable not only to small data set and is applied equally to higher-dimension large data sets, there is universality.Have great importance for practical application from now on.

Description

Based on multilayer stochastic neural net single classifier method for detecting abnormality
Technical field
The invention belongs to machine learning and the field of data mining, are related to a kind of based on multilayer stochastic neural net single classifier Method for detecting abnormality.
Background technique
Abnormality detection is an important branch in machine learning and data mining, is widely used in each field, example If the credit card fraud in trade financing field detects, the disease detection and chemical toxicity in biologic pharmacological science are detected, meter The analysis detection etc. of calculation machine image domains.The presence of abnormal data can bring certain harm and loss, seriously threaten people The security of the lives and property.Therefore having great importance extremely present in data how is detected.
Abnormality detection is to detect data undesirably, behavior, but in reality by analyzing input data In detection process, it is faced with lot of challenges.One, acquisition is accurate, representational label is highly difficult, especially for abnormal data For, the data volume of tape label is seldom;Two, certain fields are normal and abnormal data there is no specific boundaries;Three, data sheets There are noise, noise and exceptions to be difficult to differentiate between for body;Four, are normal and abnormal data is unevenly distributed weighing apparatus;The existing abnormality detection list of five, Often there is the problems such as characterization ability is inadequate, and discrimination is low when for higher-dimension big data sample in classifier.
In known existing method for detecting abnormality, based on traditional neural network, support vector machine, rule and arest neighbors etc. It is slow that method carries out abnormality detection not only speed, but also when large data sets unbalanced in face of higher-dimension, not to the characterization abilities of data It is enough, lead to training effect difference and is unable to satisfy the demand of real-time.Therefore, how to be concentrated through in more generally data a kind of excellent It is that a core is asked that different algorithm, which obtains the fast abnormality detection model of the good high training speed of discrimination of the strong Generalization Capability of characterization ability, Topic.There is employed herein a kind of multilayer based on learning machine (Extreme Learning Machine, the ELM) algorithm that transfinites is refreshing at random Single classifier through network is classified to carry out abnormality detection.
ELM is a kind of easy to use, effective Single hidden layer feedforward neural networks (SLFNs) learning algorithm.It is in abnormal inspection Surveying in classification has following advantage: (1) ELM is between input layer and hidden layer using random weight.We can repeatedly instruct Practice identical data set, this output space different to different niceties of grading.(2) ELM is a simpler feed forward neural Learning Algorithms.Traditional Learning Algorithm (such as BP algorithm) needs artificially to be arranged a large amount of network training parameter, It can thus be very easy to generate locally optimal solution.And ELM is during determining network parameter, it is only necessary to the hidden of network be arranged Node layer number does not need the input weight of adjustment network and the biasing of hidden member during the execution of the algorithm, and generates only One optimal solution.Therefore, ELM pace of learning faster and Generalization Capability is more preferable than traditional artificial neural network, can be quickly real The training and test of existing model.
The output of ELM isWherein: βiIt is between hidden node and output node Weight, G (ai,bi, x) and it is hidden layer output function.H (x)=[G (a1,b1,x),...,G(aL,bL,x)]TIt is hidden layer relative to defeated Enter the output vector of x.The key of ELM is to minimize training error and exports weight norm.Minimize And | | β | |.
ELM algorithm is summarized as follows: given training set { (xi,ti)|xi∈Rn,ti∈Rm, i=1,2 ... N }, hidden node Output function g (w, b, x) and the number of hidden nodes L.
(1) it is randomly assigned parameter (the w of hidden nodei,bi), i=1,2..., L.
(2) hidden layer output matrix Η is calculated.
(3) weight beta=H+T between hidden node and output node is calculated.
H+ is the Moore-Penrose generalized inverse matrix of hidden layer output matrix H, and orthographic projection, orthogonalization can be used The methods of method and singular value decomposition are calculated.
Summary of the invention
The purpose of the present invention is being directed to existing Outlier Detection Algorithm, provide a kind of self-editing based on ELM-AE The multilayer stochastic neural net list classification and Detection method of code device, is a kind of faster more efficient method for detecting abnormality.
The main implementation process of this patent algorithm is as follows: firstly, input only includes the training dataset of normal class;Input sample Data are handled by multilayer ELM-AE self-encoding encoder coding and decoding, the characteristic value reconstructed;The characteristic value of reconstruct is inputted The last layer ELM (does not include hidden layer), obtains reality output;Then, the range error of reality output and output label is obtained Vector, and be ranked up from big to small, according to the threshold parameter of setting, determine the threshold value for separating normal class and exception class;Finally, Test data (including normal class and exception class) is input in the multilayer stochastic neural net list abnormal classification detection model, is surveyed Try the recognition effect of the model.
The invention mainly comprises the following steps:
Step 1, input training sample carry out feature normalization
1-1, a series of training samples are givenWhereinIndicate i-th of sample This,It is indicated as target sample (normal data), training set only includes target sample, and N is total training samples number.
Step 2, sample data feature extraction
Training sample after 2-1, normalizationThat is ELM-AE's outputs and inputs matrix.
2-2, the random hidden layer that generates input weight matrixWith orthogonalization bias vector matrixInput data is mapped to same or different data dimension space: hk=g (akxα+bk), (ak)Tak= I,(bk)Tbk=1, in which: g () indicates activation primitive,
(k=1,2 ..., K) it is ELM-AE number.
2-3, the output weight matrix for solving ELM-AE
Assuming that ELM-AE number is K, input and output layer neuronal quantity is d, and hidden layer neuron quantity isAnd it is every The regularization parameter of a hidden layerIfOrI.e. for it is sparse and compression feature representation,IfI.e. for etc. dimensions Feature Mapping, βk=H-1XA,(βk)Tβk=I, (k =1,2 ..., K).
Wherein:Indicate the hidden layer output matrix of ELM-AE.
Step 3, the output weight beta of classification learning calculate
3-1, output X'=[x ' is obtained by multilayer ELM-AE system1,x'2,...,x'N], input layer quantity is D, ELM classify layer hidden neuron quantity be L (herein) and ELM classification layer regularization parameter C.IfIf
Hidden layer output node matrix isAnd
3-2, reality output is obtained
Step 4 calculates single classifier threshold θ
4-1, the error distance for calculating reality output Y and sample label T,
4-2, the error distance that will be obtainedIt is sorted from large to small, is obtainedIts InWithRespectively indicate minimum and maximum error distance.
One 4-3, setting threshold parameter μ, obtaining threshold value is θ=εfloor(μ·N)
Step 5, input test data are tested
5-1, a series of test samples are givenWhereinIndicate i-th of sample This,Indicate that it is target sample (normal data),It is indicated as non-targeted samples (exceptional sample), P is in total Test sample quantity.
5-2, be input to multilayer ELM-AE obtain every layer outputEnable the last layer ELM-AE output be Y'=[y '1,y'2,...,y'N]。
5-3, be input to ELM classification layer obtain Yβ=β Y' calculates the error distance of reality output and sample label T
5-4, the error distance that will be obtainedCompared with single classifier threshold θ
The present invention has the beneficial effect that:
The present invention is mentioned using the feature that learning machine self-encoding encoder (ELM-AE) algorithm that transfinites carries out abnormality detection data It takes, which is a kind of than commonly from encoding, (AE) algorithm is highly efficient from encryption algorithm, it carries out original self-encoding encoder The BP gradient descent method of feature extraction optimization is changed to ELM, can quickly handle the input data of higher dimensional, extract its trunk Partial information, and may be implemented initial data it is high-dimensional, etc. dimensions, low dimensional feature representation.Pass through multiple ELM-AE minds Ability in feature extraction is enhanced through network superposition, especially for the unbalanced large data sets of higher-dimension in abnormality detection.Finally will Extract obtained feature and detection identification carried out by ELM single classifier, the fast Generalization Capability of classification speed is more preferable, meet real-time with Processing more typically property data demand.
The present invention is relative to the Outlier Detection Algorithm based on traditional neural network, support vector machines and arest neighbors, Ke Yigeng Quickly and efficiently to extract main information and dimensionality reduction, then carry out identification classification.Faster, accuracy rate is higher for speed, and Generalization Capability is more It is good.It is applicable not only to small data set and is applied equally to higher-dimension large data sets, there is universality.For practical application tool from now on There is important meaning.
The present invention equally tests the abnormality detection effect of field measurement signal, has stronger anti-interference under complex situations Ability and real-time, then will have better adaptability and accuracy rate, base for abnormal data set processing ideally The processing of the abnormal data to every field from now on is provided in the multilayer stochastic neural net algorithm that ELM-AE and ELM are combined Huge help.
This is a kind of highly effective from encryption algorithm to the present invention, and realization quickly and effectively mentions in higher-dimension and large data sets Take useful feature.Sample data is handled by coding and decoding, if reconstructed error is sufficiently small, is being limited in range, can recognized Fixed this coding code is the effective expression to input sample data.Later data are reconstructed by single abnormal classification based on ELM Detection algorithm obtains output model, the algorithm only single class normal data of training, export the high Generalization Capability of recognition accuracy compared with Good single disaggregated model.Normal and abnormal data, while the neural network mould of multilayer ELM-AE superposition can preferably be distinguished Type can preferably be applied in higher-dimension large data sets.
Detailed description of the invention
Fig. 1 is flow diagram of the present invention;
Fig. 2 is Single hidden layer feedforward neural networks schematic diagram;
Fig. 3 is ELM-AE network structure;
Fig. 4 is ML-OCELM network structure.
Specific embodiment
The invention will be further described with example with reference to the accompanying drawing.
As shown in Figure 1, taking training data (only normal data set) to be input to multilayer ELM-AE first carries out feature extraction, then Classification output actual result is carried out by ELM classification layer (no hidden layer), according to the mistake of obtained reality output and sample label Difference sequence, obtains threshold value by threshold parameter.Sample to be tested is fed into trained abnormality detection model later, is surveyed The error for trying data reality output and sample label, is classified as exception class greater than threshold value, is normal class less than or equal to threshold value, and Calculate accuracy rate.
Fig. 2 shows the basic structure of Single hidden layer feedforward neural networks, that is, the frame of ELM algorithm.Fig. 3 shows list The network structure of a ELM-AE, that is, self-encoding encoder use ELM algorithm as optimization algorithm, accelerate the instruction of self-encoding encoder Practice speed, enhances generalization ability.Fig. 4 is the network structure that the present invention uses method, and three layers of ELM-AE heap poststack pass through again One ELM classification layer without hidden layer.
The purpose of the present invention is being directed to existing Outlier Detection Algorithm, provide a kind of self-editing based on ELM The multilayer stochastic neural net list classification and Detection algorithm of code device, is a kind of faster more efficient method for detecting abnormality.
The invention mainly comprises the following steps:
Step 1, input training sample carry out feature normalization
1-2, a series of training sample { (xi are givenα,tiα)xiα∈Rn,ti α∈Rm, i=1,2 ... N }, wherein xi αIt indicates I-th of sample, ti α=1 indicates that it is target sample (normal data), and training set only includes target sample, and N is total training sample This quantity.
Step 2, sample data feature extraction
Training sample after 2-1, normalizationThat is ELM-AE's outputs and inputs matrix.
2-2, the random hidden layer that generates input weight matrixWith orthogonalization bias vector matrixInput data is mapped to same or different data dimension space: hk=g (akxα+bk), (ak)Tak= I,(bk)Tbk=1, in which: g () indicates that activation primitive, (k=1,2 ..., K) are ELM-AE number.
2-3, the output weight matrix for solving ELM-AE
Assuming that ELM-AE number is K, input and output layer neuronal quantity is d, and hidden layer neuron quantity isAnd it is every The regularization parameter of a hidden layerIfOrI.e. for it is sparse and compression feature representation,IfI.e. for etc. dimensions Feature Mapping, βk=H-1XA,(βk)Tβk=I, (k= 1,2,...,K)。
Wherein:Indicate the hidden layer output matrix of ELM-AE.
Step 3, the output weight beta of classification learning calculate
3-1, output X'=[x ' is obtained by multilayer ELM-AE system1,x'2,...,x'N], input layer quantity is D, ELM classify layer hidden neuron quantity be L (herein) and ELM classification layer regularization parameter C.IfIf
Hidden layer output node matrix isAnd
3-2, reality output is obtained
Step 4 calculates single classifier threshold θ
4-1, the error distance for calculating reality output Y and sample label T,
4-2, the error distance that will be obtainedIt is sorted from large to small, is obtainedIts InWithRespectively indicate minimum and maximum error distance.
One 4-3, setting threshold parameter μ, obtaining threshold value is θ=εfloor(μ·N)
Step 5, input test data are tested
5-1, a series of test samples are givenWhereinIndicate i-th of sample This,Indicate that it is target sample (normal data),It is indicated as non-targeted samples (exceptional sample), P is in total Test sample quantity.
5-2, be input to multilayer ELM-AE obtain every layer outputEnable the last layer ELM-AE output be Y'=[y '1,y'2,...,y'N]。
5-3, be input to ELM classification layer obtain Yβ=β Y' calculates the error distance of reality output and sample label T
5-4, the error distance that will be obtainedCompared with single classifier threshold θ

Claims (2)

1. being based on multilayer stochastic neural net single classifier method for detecting abnormality, it is characterised in that input only includes the instruction of normal class Practice data set;Input sample data are handled by multilayer ELM-AE self-encoding encoder coding and decoding, the characteristic value reconstructed;It will The characteristic value input the last layer ELM of reconstruct obtains reality output;Then reality output will be obtained to miss at a distance from output label Difference vector is ranked up from big to small, according to the threshold parameter of setting, determines the threshold value for separating normal class and exception class;Finally, Test data is input in the multilayer stochastic neural net list abnormal classification detection model, the recognition effect of the model is tested.
2. according to claim 1 be based on multilayer stochastic neural net single classifier method for detecting abnormality, it is characterised in that Specifically comprise the following steps:
Step 1, input training sample carry out feature normalization
1-1, a series of training samples are givenWhereinIndicate i-th of sample,It is indicated as target sample, training set only includes target sample, and N is total training samples number;
Step 2, sample data feature extraction
Training sample after 2-1, normalizationThat is ELM-AE's outputs and inputs matrix;
2-2, the random hidden layer that generates input weight matrixWith orthogonalization bias vector matrix Input data is mapped to same or different data dimension space: hk=g (akxα+bk), (ak)Tak=I, (bk)Tbk=1, Wherein: g () indicates that activation primitive, (k=1,2 ..., K) are ELM-AE number;
2-3, the output weight matrix for solving ELM-AE
Assuming that ELM-AE number is K, input and output layer neuronal quantity is d, and hidden layer neuron quantity isAnd it is each hidden Regularization parameter containing layerIfOrI.e. for it is sparse and compression feature representation,IfI.e. for etc. dimensions Feature Mapping, βk=H-1XA,(βk)Tβk=I, (k= 1,2,...,K);
Wherein:Indicate the hidden layer output matrix of ELM-AE;
Step 3, the output weight beta of classification learning calculate
3-1, output X'=[x ' is obtained by multilayer ELM-AE system1,x′2,...,x′N], input layer quantity is d, ELM classify layer hidden neuron quantity be L (herein) and ELM classification layer regularization parameter C;IfIf
Hidden layer output node matrix isAnd
3-2, reality output is obtained
Step 4 calculates single classifier threshold θ
4-1, the error distance for calculating reality output Y and sample label T,
4-2, the error distance that will be obtainedIt is sorted from large to small, is obtainedWherein WithRespectively indicate minimum and maximum error distance;
One 4-3, setting threshold parameter μ, obtaining threshold value is θ=εfloor(μ·N)
Step 5, input test data are tested
5-1, a series of test samples are givenWhereinIndicate i-th of sample,Indicate that it is target sample,It is indicated as non-targeted samples, P is test sample quantity in total;
5-2, be input to multilayer ELM-AE obtain every layer outputEnabling the last layer ELM-AE output is Y'= [y′1,y′2,...,y′N];
5-3, be input to ELM classification layer obtain Yβ=β Y' calculates the error distance of reality output and sample label T
5-4, the error distance that will be obtainedCompared with single classifier threshold θ;
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