CN106971073A - A kind of identification of nonlinearity method at water bursting in mine water source - Google Patents
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Abstract
The present invention relates to a kind of identification of nonlinearity method at water bursting in mine water source, comprise the following steps, (1) spectrum data gathering;(2) original spectral data of collection is pre-processed using convolution (SG) smoothing technique;(3) Data Dimensionality Reduction is carried out using Non-linear Kernel PCA, and carries out Nonlinear feature extraction;(4) by the test set and training set of the water sample Sample Establishing independence of collection;(5) EML extreme learning machines are set up using training set, testing classification result is then carried out by test set.The present invention carries out feature extraction using nonlinear way, Time & Space Complexity is reduced, while there is provided the recognition performance of sample;Core principle component analysis optimizes the learning parameter of extreme learning machine, and EML disaggregated models have the features such as training parameter is few, pace of learning is fast, and KPCA and EML is combined into the nonlinear discrimination for water bursting in mine water source, is highly suitable for the monitoring of online water bursting sources.
Description
Technical field
It is a kind of identification of nonlinearity method at water bursting in mine water source, and in particular to a kind of induced with laser based on KPCA-EML
The nonlinear method at fluorescence spectrum (LIF) identification water bursting in mine water source.
Background technology
Mine water inrush causes the harm of seriousness to coal production, needs rapidly and accurately to differentiate gushing water when preventing and treating gushing water
Water source.Water bursting in mine water source type mainly has:Ordovician karst water, goaf water, alluvial water, Sandstone Water, limestone water.At present, conventional coal
The method of discrimination of ore deposit water bursting sources, is mostly based on water chemistry basis, but differentiates that the time is longer, efficiency comparison is low, it is difficult to adapt to
The real-time monitoring of mine water inrush.The fluorescence light of water bursting sources is obtained using laser-induced fluorescence spectroscopy (LIF) technology real-time online
Modal data, can be achieved fast and accurately to monitor.
Spectroscopic data collection is pre-processed and feature extraction is necessary operation before setting up classification learning model, mainly
In order to ensure setting up accurate and stable disaggregated model.The use of extensive linear characteristic extracting method is mainly at present principal component point
Analyse (PCA, Principal Component Analysis).Due to influenceing the factor of water bursting in mine numerous, with the non-of complexity
Linear relationship, thus design a kind of sorting technique of non-linear water bursting sources be it is feasible, this method combination Non-linear Kernel it is main into
Analyze (KPCA) and limits of application learning machine (EML) carries out classification learning.
Core principle component analysis (KPCA, Kernel Principal Component Analysis) is a kind of based on core letter
Several principal component analytical methods, is mainly used to solve the problems, such as the feature extraction of large-scale nonlinear data, nonlinear data is reflected
High-dimensional feature space is mapped to, and then seeks the linear solution in higher dimensional space.In the sorting technique based on supervised learning, BP god
There is convergence rate through network slower, take it is longer, local optimum may be absorbed in, it is necessary to repeatedly training be only possible to reach it is global most
Excellent deficiency.Support vector machines (Support Vector Machine) expend a large amount of machines there is also parameter to be optimized is more
The defect such as device internal memory and operation time length.Because extreme learning machine (ELM, Extreme Learning Machine) is a kind of single
Hidden layer feedforward neural network (SLFNs, Single-hidden Layer Feedforward Neural Networks) study is calculated
Method, has the advantages that very strong learning ability and approaches complex nonlinear function.EML is mainly for based on gradient descent algorithm
BP network trainings take excessively tediously long deficiency, and with asking, the Moor-Penrose generalized inverses substitution of hidden layer output matrix is traditional
Iterative process, shortens the convergence time of network.
The content of the invention
The object of the invention is mainly to provide a kind of identification of nonlinearity method at water bursting in mine water source, in order to solve non-linear number
According to feature extraction problem and accurate and Fast Learning classification problem, propose the laser-induced fluorescence spectroscopy skill based on KPCA-EML
The nonlinear discrimination method at the water bursting in mine water source of art.
To achieve these goals, the technical solution adopted by the present invention is as follows:
A kind of identification of nonlinearity method at water bursting in mine water source, comprises the following steps:
(1), spectrum data gathering:The water sample spectrum number at water bursting in mine water source is gathered by laser-induced fluorescence spectroscopy instrument
According to acquisition water sample primary light spectrogram;
(2), Pretreated spectra:The noise in spectrometer collection water sample fluorescence data is eliminated, it is smooth using SG convolution
Method is pre-processed to the spectroscopic data collected;
(3), KPCA feature information extractions:Data are carried out to pretreated spectroscopic data using core principle component analysis KPCA
The Nonlinear Principal Component Analysis of dimensionality reduction, obtains principal character value (i.e. principal component);
(4), classification learning:The water sample sample that will be made up of principal character value, constructs independent training set and test set;
(5) EML extreme learning machines, are set up:EML extreme learning machines are set up on training set, then by test set
Classification learning model carries out testing classification result.
In the present invention:In the step (3), using Non-linear Kernel principal component analysis KPCA on influenceing water in spectroscopic data
Source is sentenced another characteristic and extracted, and it is comprised the following steps that:
(31) pretreated spectrum data matrix X, is taken, data space sample point (x is realizedi,xj) reflecting to feature space
Penetrate, (xi,xj)→K(xi,xj)=φ (xi)·φ(xj), substitute the non-linear of complexity with relatively simple kernel function K ()
Transforming function transformation function φ ();
(32), select Gaussian radial basis function (RBF) kernel function and calculate nuclear matrix K, correction matrix simultaneously calculates nuclear matrix
Correlation matrix KL;
(33) characteristic value and corresponding characteristic vector of KL matrixes, are calculated with Jacobi alternative manners, by characteristic value by drop
Sequence is arranged, and corresponding characteristic vector is also arranged in descending order;
(34), by Schmidt process unit orthogonalized eigenvectors, the accumulation contribution rate of characteristic value is calculated, with
Principal component number is determined, EML input layer number is determined by principal component number.
In the present invention:Construction independent training set and test set in the step (4), it is comprised the following steps that:
(41), assume there is a N number of arbitrary sample, give training setD principal component is used as input
Layer data, containing L hidden node, g (χ) is that excitation function is g (αi·χ+bi), it is basic function to choose RBF functions, i.e.,
(42) the output matrix H of hidden layer, is calculated, L hidden node, can be unlimited in the presence of excitation function g (χ)
Close to N number of arbitrary sample, then H β=Τ,
Wherein H is the output matrix of hidden layer;
(43) output weight vector β, is calculated, EML disaggregated models are trained, the least square solution for calculating H β=Τ is converted into,
That is β=H+Τ, wherein, H+For H Moore-Penrose generalized inverse matrix.
In the present invention:Described laser-induced fluorescence spectroscopy instrument for USB2000+ models, laser wavelength of incidence and work(
Rate is respectively 405nm and 120mW, detects fluorescence spectra 400-800nm, resolution ratio 0.5nm.
By above-mentioned technical proposal, the beneficial effects of the invention are as follows:Feature extraction is carried out using nonlinear way, reduced
Time & Space Complexity, while there is provided the recognition performance of sample;Core principle component analysis optimizes the study of extreme learning machine
Parameter, EML disaggregated models have the features such as training parameter is few, pace of learning is fast, and KPCA and EML, which is combined, is used for water bursting in mine water
The nonlinear discrimination in source, is highly suitable for the monitoring of online water bursting sources.
Brief description of the drawings
Fig. 1 is flow chart schematic diagram of the invention;
Fig. 2 is the EML classification learning models in the present invention.
Embodiment
As shown in Figure 1-2:The present invention is combined with LIF technologies using KPCA-ELM, can intrusive mood fluorescent probe be placed in
In water bursting in mine water source, in real time collection water bursting sources water sample fluorescence spectrum, in order to reduce collection in noise to fluorescence spectrum
Influence, is pre-processed to spectrum, is analysed method progress feature extraction using Non-linear Kernel principal component, is set up independent training set and survey
Examination collection, after being optimized to extreme learning machine EML learning parameters, by training set training generation classification learning model, by surveying
Try set pair classification learning model and carry out test result.
The present invention is proposed to the non-of water bursting in mine water source in the laser-induced fluorescence spectroscopy LIF technologies based on KPCA-EML
Linear Discriminant's method, comprises the following steps:
(1), spectrum data gathering:Using USB2000+ model laser-induced fluorescence spectroscopy instrument, laser wavelength of incidence and work(
Rate is respectively 405nm and 120mW, detects fluorescence spectra 400-800nm, resolution ratio 0.5nm;Using ability of swimming laser can be invaded
Fluorescent probe FPB-405-V3 is excited, is gathered using Spectrum software Spectra Suite and records the fluorescence spectrum of water sample, to 5
Multiple samples of type gushing water water sample (Ordovician karst water, goaf water, alluvial water, Sandstone Water, limestone water) carry out fluorescence spectrum
Sampling, obtains water sample primary light spectrogram.
(2), Pretreated spectra:Spectrometer can also be collected into some noises while water sample fluorescence data is gathered,
In order that disaggregated model has stronger predictive ability and preferable robustness, spectrometer collection water sample fluorescence data is eliminated
In noise, the spectroscopic data collected is pre-processed using SG convolution smoothing method.
(3), KPCA feature information extractions:Data are carried out to pretreated spectroscopic data using core principle component analysis KPCA
The Nonlinear Principal Component Analysis of dimensionality reduction, obtains principal character value (i.e. principal component), comprises the following steps:
(31) pretreated spectrum data matrix X, is taken, data space sample point (x is realizedi,xj) reflecting to feature space
Penetrate, (xi,xj)→K(xi,xj)=φ (xi)·φ(xj), substitute the non-linear of complexity with relatively simple kernel function K ()
Transforming function transformation function φ ();
Assuming that there is a N number of index, each index has M sample, and the input space is mapped to certain by kernel function by mapping phi
Data meet centralization condition in the feature space of individual higher-dimension, feature space, i.e.,The then association in feature space
Variance matrix isC eigenvalue λ >=0 and characteristic vector μ is sought, i.e. (C μ=λ μ-> φ (χμ) C μ=
λφ(χμ) μ) then:Define M × M dimension matrixes
Kμν=K (χμ,χν)=(φ (χμ)·φ(χν)) (formula 1)
(32) Gaussian radial basis function (RBF) kernel function, is selectedBy formula
(1) nuclear matrix K is calculated, is passed throughCorrection matrix, and calculate nuclear matrix
Correlation matrix
(33) eigenvalue λ of KL matrixes, is calculated with Jacobi alternative manners1,…,λnWith corresponding characteristic vector μ1,…,
μn, characteristic value is arranged in descending order, corresponding characteristic vector is also arranged in descending order;
(34), by Schmidt process unit orthogonalized eigenvectors, α is obtained1,…,αn, calculate characteristic value
Accumulation contribution rate B1,…,Bn, according to given extraction efficiency p, if Bd>=p, then extract d principal component α1,…,αd;By principal component
Number determines that EML input layer number is d.
(4), classification learning:The water sample sample that will be made up of principal character value, constructs independent training set and test set, bag
Include following steps:
(41), assume there is a N number of arbitrary sample, give training setD principal component is used as the input number of plies
According to can be expressed as containing L hidden node point SLFNs
Wherein, αiIt is to connect i-th of hidden layer node and the weights of input node, biIt is the deviation of i-th of hidden layer node, βiIt is connection i-th
The weights of individual hidden layer node and output node;Random generation hidden layer node parameter (αi,bi), i=1 ..., Lg (χ) is excitation function
For g (αi·χ+bi), it is basic function to choose RBF functions, i.e.,
(42) the output matrix H of hidden layer, is calculated, L hidden node, can be unlimited in the presence of excitation function g (χ)
Close to N number of arbitrary sample, then H β=Τ,
Wherein H is the output matrix of hidden layer;
(43) output weight vector β, is calculated, EML disaggregated models are trained, the least square solution for calculating H β=Τ is converted into,
That is β=H+Τ, wherein, H+For H Moore-Penrose generalized inverse matrix
(5) EML extreme learning machines, are set up:EML extreme learning machines are set up on training set, then by test set
Classification learning model carries out testing classification result.
The embodiment to the present invention is described above, but the present invention is not limited to above description.For this
For the technical staff in field, any equal modifications and substitutions to the technical program are all within the scope of the invention.Cause
This, the impartial conversion and modification made without departing from the spirit and scope of the invention all should be contained within the scope of the invention.
Claims (4)
1. a kind of identification of nonlinearity method at water bursting in mine water source, it is characterised in that:Comprise the following steps:
(1), spectrum data gathering:The water sample spectroscopic data at water bursting in mine water source is gathered by laser-induced fluorescence spectroscopy instrument, is obtained
Obtain water sample primary light spectrogram;
(2), Pretreated spectra:The noise in spectrometer collection water sample fluorescence data is eliminated, using SG convolution smoothing methods
The spectroscopic data collected is pre-processed;
(3), KPCA feature information extractions:Data Dimensionality Reduction is carried out to pretreated spectroscopic data using core principle component analysis KPCA
Nonlinear Principal Component Analysis, obtain principal character value (i.e. principal component);
(4), classification learning:The water sample sample that will be made up of principal character value, constructs independent training set and test set;
(5) EML extreme learning machines, are set up:EML extreme learning machines are set up on training set, then pass through the classification on test set
Learning model carries out testing classification result.
2. a kind of identification of nonlinearity method at water bursting in mine water source according to claim 1, its feature is:The step
(3) in, extracted using Non-linear Kernel principal component analysis KPCA on influenceing water source to sentence another characteristic in spectroscopic data, its is specific
Step is as follows:
(31) pretreated spectrum data matrix X, is taken, data space sample point (x is realizedi,xj) to the mapping of feature space,
(xi,xj)→K(xi,xj)=φ (xi)·φ(xj), substitute complicated non-linear change with relatively simple kernel function K ()
Change function phi ();
(32), select Gaussian radial basis function (RBF) kernel function and calculate nuclear matrix K, correction matrix and the correlation for calculating nuclear matrix
Matrix K L;
(33) characteristic value and corresponding characteristic vector of KL matrixes, are calculated with Jacobi alternative manners, characteristic value is arranged in descending order
Row, corresponding characteristic vector is also arranged in descending order;
(34), by Schmidt process unit orthogonalized eigenvectors, the accumulation contribution rate of characteristic value is calculated, to determine
Principal component number, EML input layer number is determined by principal component number.
3. a kind of identification of nonlinearity method at water bursting in mine water source according to claim 1, its feature is:The step
(4) construction independent training set and test set in, it is comprised the following steps that:
(41), assume there is a N number of arbitrary sample, give training setD principal component is used as the input number of plies
According to containing L hidden node, g (χ) is that excitation function is g (αi·χ+bi), it is basic function to choose RBF functions, i.e.,
(42) the output matrix H of hidden layer, is calculated, L hidden node, can be with infinite approach in the presence of excitation function g (χ)
N number of arbitrary sample, then H β=Τ,
Wherein H is the output matrix of hidden layer;
(43), calculate output weight vector β, train EML disaggregated models, be converted into the least square solution for calculating H β=Τ, i.e. β=
H+Τ, wherein, H+For H Moore-Penrose generalized inverse matrix.
4. a kind of identification of nonlinearity method at water bursting in mine water source according to claim 1, its feature is:Described swashs
Light induced fluorescence spectrometer for USB2000+ models, laser wavelength of incidence and power are respectively 405nm and 120mW, are detected glimmering
Light spectral region 400-800nm, resolution ratio 0.5nm.
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