CN108931621A - A kind of zinc ore grade flexible measurement method of Kernel-based methods textural characteristics - Google Patents

A kind of zinc ore grade flexible measurement method of Kernel-based methods textural characteristics Download PDF

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CN108931621A
CN108931621A CN201810446656.4A CN201810446656A CN108931621A CN 108931621 A CN108931621 A CN 108931621A CN 201810446656 A CN201810446656 A CN 201810446656A CN 108931621 A CN108931621 A CN 108931621A
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唐朝晖
牛亚辉
曾思迪
丁凯庆
范影
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Central South University
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Abstract

A kind of method of the hard measurement of the zinc Floatation Concentrate Grade of Kernel-based methods feature, the present invention combines expertise and Data Modeling Method, see that observation when bubble brings forward the single frames textural characteristics based on image statistics feature and characterizes froth images according to field worker first, according to field worker need to observe in a period of time foam state come proposition the characteristics of judging current production status with texture sequence come the current production status of mathematicization, and propose the modeling method of a kind of pair of texture sequence, reduce the dimension of feature vector.It is effective to inhibit to improve generalization ability due to learning too fast caused overfitting problem using improved promotion decision Tree algorithms in prediction algorithm.Experiments have shown that the method for the present invention calculates simply, fast speed is executed, prediction accuracy is higher, is convenient for practical operation at the scene, can instruct execute-in-place immediately, optimizes production process, solves the problems, such as that existing zinc ore grade on-line checking is difficult.

Description

A kind of zinc ore grade flexible measurement method of Kernel-based methods textural characteristics
Technical field
The invention belongs to froth flotation technical fields, and in particular to a kind of prediction technique of zinc Floatation Concentrate Grade.
Background technique
Froth flotation is one of most important beneficiation method in zinc abstraction now, and flotation is according to mineral particle surface physics The difference of chemical property, by the method that the difference of mineral floatability is sorted, froth flotation be one will be smashed useful The process that mineral are separated with the gangue of its symbiosis is formed big by constantly stirring and the air blast in floatation process in ore pulp Measurer have different sizes, form, Texture eigenvalue bubble, bubble carry mineral grain rise to tank surface formed foam Layer, to realize the separation of mineral and gangue.The industrial process of complexity such a for froth flotation, because process flow is long, Sub- process severe conjunction coupling, Partial key parameter are difficult to the reasons such as on-line checking, and floatation process work condition state lacks effective Synthesis perception means, depend critically upon artificial inspection back and forth, by virtue of experience substantially judge whether current production is in normal shape State, further to implement corresponding operation strategy.This single rough, the perception of heavy dependence artificial experience method, often produces Raw and inappropriate production operation, not can guarantee the stable optimal operation of production.Although selecting factory can be by offline assay Accurate concentrate grade is obtained to determine the production status of floatation process, however this generally requires several hours, checkout procedure is multiple It is miscellaneous and at high cost seriously lag behind production process.Since flotation process is long, influence factor is more, concentrate grade cannot achieve On-line checking affects the instant adjustment to dosage and other parameters, finally affects the rate of recovery of mineral.Therefore, it studies The real-time on-line detecting method of floatation process production target has important meaning to Instructing manufacture operation and the optimization of process operation Justice.
With the fast development of computer technology, digital image processing techniques, by the soft-measuring technique based on machine vision Real-time monitoring applied to floatation process to floatation indicators brings new breakthrough.Machine vision is a kind of imitation mankind itself view Sensing capability is felt to realize the important means of industrial process automation measurement and control, because it has high-precision, modularization, intelligence A variety of advantages such as change, lossless perception, may be implemented the on-line checking of floatation process concentrate grade.It can be with by image capture device The foam video under a large amount of different grades is obtained, these videos are combined with collected corresponding creation data, shape At a raw data set, the data model of froth images and concentrate grade is established using the method that data-driven models, and is realized The on-line checking of concentrate grade.Existing mine concentration grade forecast method mainly use B-spline Partial Least Squares Regression, support to The methods of amount machine, neural network, the defect of these methods all various degrees, they are difficult to handle the data of large sample, And it is more sensitive to the data with noise, some problems are being still had using upper.
Summary of the invention
Difficult for concentrate grade on-line checking in zinc floatation process, at high cost, delay is big and in zinc flotation concentrate product Deficiency on position prediction, the present invention propose a kind of lead zinc flotation using the Heuristics of field worker and the creation data of accumulation The building method of froth images process feature, while a kind of prediction technique of concentrate grade is constructed, this method has good pre- Precision is surveyed, anti-interference ability and has the faster speed of service.
Steps are as follows for the technical solution adopted by the present invention:
S1:The foam video and creation data for collecting the zinc flotation under different grades, to collected zinc flotation data with And creation data carries out data prediction, process is as follows:
1) wrong data that the data value measured exceeds variation range is rejected;
2) unmatched data are rejected and there are the data of vacancy value;
S2:RGB froth images are read using flotation site image capturing system foam video obtained, by froth images HSI color space is transformed by RGB color, and extract light intensity level obtains an image sequence I=as source images [I1,I2,...,Iq], q is the frame number of video;
S3:Extract the i-th frame froth images I in image sequence IiTextural characteristics, be denoted as Ti, to each in image sequence I Frame image all does same treatment, obtains texture sequence T=[T1,T2,...,Tq], wherein Ti=[βixixixiyiy, γiy];
S4:Gauss Markov autoregressive moving-average model, letter are established to size distribution series T obtained in S3 Number expression formula is as follows:
Wherein:X (k), x (k+1) are the state vectors of n dimension;
Y (k) is the output vector of m dimension, y (k)=TkRepresent textural characteristics;
V (k) is the stochastic variable of a Gaussian distributed, covariance matrix V;
W (k) is the stochastic variable of a Gaussian distributed, covariance matrix W;
K=1,2,3 ..., q;
Parameter A is estimated, the value of C, V are arranged into the mistake that column vector a F, F are referred to as this period of time floatation process Journey textural characteristics;
S5:F obtained in S4 and corresponding concentrate grade G are combined, as a sample point Di={ Fi, Gi)};All videos of collection are found out into process grain feature, are combined with concentrate grade, all sample point set D are found out ={ (F1,G1),(F2,G2),...,(FN,GN), use Fi (j)Indicate FiJ-th of component;
S6:The sample set obtained in S5 is denoted as f using CART algorithm training decision-tree model0
S7:Prediction model is established, a loss function Lf is designed and comes model output value and reality that quantitative calculating generates The deviation of measured value generates one gradually and incrementally according to loss function Lf with f0Based on promotion tree-model, step is such as Under:
1) by fiIt is updated to fi'=fii+1(F), wherein:I=0,1,2 ..., φi+1For the weak learner being newly added;
2) allowable loss function Lf is enabledWherein, η is a constant less than 1;
3) it solvesIt obtains so that losing letter The φ that number Lf is minimizedi+1Numerical solution;
4) with φi+1For target value, decision-tree model is established using CART algorithm and obtains fi+1
5) decision tree is repeatedly generated, symbiosis is set at L, and get a promotion decision tree:
fboost(F)=f0(F)+ηf1(F)+...+ηfL(F);The value of η is determined by verifying collection;
S8:Zinc flotation froth sample data input industrial computer to be detected is obtained, computer is calculated according to step S3, S4 Obtained process grain feature is inputted model obtained in S7, the zinc concentrate grade of prediction can be obtained by process grain feature;
Weibull distribution function described in S3 isC is normalized constant, β, μ, γ For parameter;
The invention proposes a kind of methods of the hard measurement of the zinc Floatation Concentrate Grade of Kernel-based methods textural characteristics, solve The problem of live antimony ore grade on-line checking hardly possible;The characteristics of image of picture extraction is relied solely on for conventional method to characterize The problem of current foam state, the experience of present invention combination field worker propose a kind of process size characteristic related to time. See that observation when bubble brings forward the single frames textural characteristics based on image statistics feature and characterizes foam characteristics according to field worker, Expertise has been merged, the state of current foam can be more accurately represented;It is needed to observe a period of time according to field worker Interior foam state proposes the modeling methods of a kind of pair of size distribution series the characteristics of judging current production status, reduce feature The dimension of vector, while also can reflect the rule of size distribution series dynamic change;It is difficult to for traditional grade prediction technique The data of large sample are handled, and sensitive issue is compared to the data with noise, product are established in proposition in the way of data-driven The promotion decision-tree model of position prediction;Due to tree-model be a nonlinear model therefore can be very good fitting grade predict this One intensive nonlinear functions of sample, and tree-model is branched structure, arithmetic speed quickly, can rapid solving go out current foam-like The corresponding concentrate grade of state, is easy to implement on-line checking;Hold for promoting decision-tree model and being applied in the prediction of zinc concentrate grade Over-fitting easily occur leads to the problem of the model generalization ability difference trained, introduces learning rate η, in the process that each forward direction is incremented by It is middle that a constant less than 1 is added, it can effectively inhibit to improve extensive energy due to learning too fast caused overfitting problem Power;This method calculates simply, executes fast speed, and prediction accuracy is higher, is convenient for practical operation at the scene, can instruct immediately existing Field operation, optimizes production process.
Detailed description of the invention
Fig. 1 is the flow chart that the present invention implements zinc Floatation Concentrate Grade prediction technique.
Specific embodiment
Here is to combine attached drawing of the present invention, in further detail, is clearly made that technical solution employed in the present invention It describes and explains.The present invention relies solely on single frames picture for conventional method and is difficult to accurately reflect the limitation proposition of foam state A kind of process size characteristic extracting method related to time, and zinc concentrate product are realized using improved promotion decision-tree model The on-line checking of position.Obviously, described embodiment is only a part in the embodiment of the present invention, is not the complete of embodiment Portion.Based on the embodiments of the present invention, those skilled in the relevant art are in the obtained institute of premise for not making creative work There are other embodiments all to should be protection scope of the present invention.
As shown in Figure 1, for the soft survey of Pb-Zn deposits grade of one of embodiment of the present invention Kernel-based methods size distribution characteristics The flow chart of amount method, this method comprise the following specific steps that:
S1:The foam video and creation data for collecting the zinc flotation under different grades, to collected zinc flotation data with And production
Data carry out data prediction, and process is as follows:
1) wrong data that the data value measured exceeds variation range is rejected;
2) unmatched data are rejected and there are the data of vacancy value;
S2:RGB froth images are read using flotation site image capturing system foam video obtained, by froth images HSI color space is transformed by RGB color, and extract light intensity level obtains an image sequence I=as source images [I1,I2,...,Iq], q is the frame number of video;
S3:To the froth images I in image sequenceiTexture feature extraction is carried out, the process of texture feature extraction is as follows:
1) with median filtering filter to IiMedian filtering is done, noise is removed, obtains Ii';3*3 mould is used in the method The median filter of plate,
2) using the Gaussian derivative filter in the direction x to Ii' filtering, obtain the image B comprising image detail edgeix
3) B is countedixThe probability histogram H of gray scaleix, traverse the pixel that all pixel statistics adhere to different brightness separately Number, divided by image resolution ratio, Hix={ (- 255, H-255),(-254,H-254),…,(255,H255)};
4) by HixGrey linear transformation to section [- 1 ,+1], obtain standardized probability histogram Hix, using weber Distribution function is fitted Hix, solveObtain the parameter beta of Weibull distribution functionixixix
5) using the Gaussian derivative filter in the direction y to Ii' filtering, obtain the image B comprising image detail edgeiy
6) B is countediyThe probability histogram H of gray scaleiy, traverse the pixel that all pixel statistics adhere to different brightness separately Number, obtain H divided by image resolution ratioiy
7) by HiyProbability histogram H of the grey linear transformation to [- 1 ,+1], after being standardizedix, with weber point Cloth Function Fitting Hiy, solveObtain the parameter beta of Weibull distribution functioniyiyiy
By Ti=[βixixixiyiyiy] it is used as image IiTextural characteristics, to each frame in image sequence I Image all does same treatment, obtains texture sequence T=[T1,T2,...,Tq];
S4:Gauss Markov autoregressive moving-average model, function table are established to texture sequence T obtained in S3 It is as follows up to formula:
Wherein:X (k), x (k+1) are the state vectors of n dimension;
Y (k) is the output vector of m dimension, y (k)=TkRepresent textural characteristics;
V (k) is the stochastic variable of a Gaussian distributed, is desired for 0, covariance matrix V;
W (k) is the stochastic variable of a Gaussian distributed, is desired for 0, covariance matrix W;
K=1,2,3 ..., q;
Parameter A is estimated, the value of C, V are arranged into the mistake that column vector a F, F are referred to as this period of time floatation process Journey textural characteristics, steps are as follows:
1) by the y (k) in the Gauss Markov sliding autoregression model in S4, following form of doing, Y=[y (1), y are write (2),y(3),...,y(q)];
2) all output y (k) of model are found out, k=1,2 ..., the average value y of qm,Enable Yq=Y- ym
3) using a mapping function from m*q dimension space to real number field as probability density function, to simulate y (k), Mathematic(al) representation is as follows:
Wherein:μ is one and YqThe identical matrix of shape, ∑ is a symmetrical matrix and element is positive number, and z is one and returns One changes constant;
4) it solves so that p (Yq) it is maximum when parameter value, i.e.,Specific steps It is as follows:
1. former formula is written as follow form:Y1 τ=[y (1), y (2) ..., y (k)],W1 τ =[w (1), w (2) ..., W (k)], then
2. to Y1 τY can be obtained by doing singular value decomposition1 τ=U ∑ VT, then
3. solvingObtain the estimated value of A;
Wherein
5) A, C, V are arranged in a column vector FiIf its dimension is n;
S5:F obtained in S4 and corresponding concentrate grade G are combined, as a sample point Di={ Fi, Gi)};All videos of collection are found out into process grain feature, are combined with concentrate grade, all sample point set D are found out ={ (F1,G1),(F2,G2),...,(FN,GN)};
S6:F is denoted as using CART algorithm training decision-tree model with the sample set obtained in S50
S7:Prediction model is established, a loss function Lf is designed and comes model output value and reality that quantitative calculating generates The deviation of measured value generates one gradually and incrementally according to loss function Lf with f0Based on promotion tree-model, step is such as Under:
1) by fiIt is updated to fi'=fii+1(F), wherein:I=0,1,2 ..., φi+1For the weak learner being newly added;
2) allowable loss function Lf, taking loss function in the method is L2 loss function, is enabled
Wherein, η is a constant less than 1;
3) it solvesIt obtains so that losing letter The φ that number Lf is minimizedi+1Numerical solution, enableFind out φi+1
4) with φi+1For target value, decision-tree model is established using CART algorithm and obtains fi+1
5) decision tree is repeatedly generated, is continuously added to newly set the feelings that will not result in prediction error and reduce if there is 10 times Condition, it is believed that have reached stop condition, symbiosis is set at L, and get a promotion decision tree:
fboost(F)=f0(F)+ηf1(F)+...+ηfL(F);
S8:Zinc flotation froth sample data input computer to be detected is obtained, computer is according to step S3, S4 calculating process Obtained process grain feature is inputted model obtained in S7, the zinc concentrate grade of prediction can be obtained by textural characteristics.

Claims (2)

1. a kind of Pb-Zn deposits grade flexible measurement method of Kernel-based methods textural characteristics, it is characterised in that include the following steps:
S1:The foam video and creation data for collecting the zinc flotation under different grades, to collected zinc flotation data and life It produces data and carries out data prediction, process is as follows:
1) wrong data that the data value measured exceeds variation range is rejected;
2) unmatched data are rejected and there are the data of vacancy value;
S2:Read RGB froth images using flotation site image capturing system foam video obtained, by froth images by RGB color is transformed into HSI color space, and extract light intensity level obtains an image sequence I=[I as source images1, I2,...,Iq], q is the frame number of video;
S3:Extract the i-th frame froth images I in image sequence IiTextural characteristics, be denoted as Ti, to frame figure each in image sequence I As all doing above-mentioned processing, texture sequence T=[T is obtained1,T2,...,Tq], wherein Ti=[βixixixiyiyiy];
S4:Gauss Markov autoregressive moving-average model, function table are established to size distribution series T obtained in S3 It is as follows up to formula:
Wherein:X (k), x (k+1) are the state vectors of n dimension;
Y (k) is the output vector of m dimension, y (k)=TkRepresent textural characteristics;
V (k) is the stochastic variable of a Gaussian distributed, its covariance matrix is V;
W (k) is the stochastic variable of a Gaussian distributed, covariance matrix W;
K=1,2,3 ..., q;
Parameter A is estimated, A, C, V are arranged in the mistake that column vector a F, F are referred to as this period of time floatation process by the value of C, V Journey textural characteristics;
S5:F obtained in S4 and corresponding concentrate grade G are combined, as a sample point Di={ Fi, Gi)};All videos of collection are found out into process grain feature, are combined with concentrate grade, all sample point set D are found out ={ (F1,G1),...,(Fi,Gi),...,(FN,GN), use Fi (j)Indicate FiJ-th of component;
S6:F is denoted as using CART algorithm training decision-tree model with the sample set obtained in S50
S7:Prediction model is established, a loss function Lf is designed and comes model output value and actual measurement that quantitative calculating generates The deviation of value generates one gradually and incrementally according to loss function Lf with f0Based on promotion tree-model, its step are as follows:
1) by fiIt is updated to fi'=fii+1(F), wherein:I=0,1,2 ..., φi+1For the weak learner being newly added;
2) allowable loss function Lf is enabledWherein, η is One constant less than 1;
3) it solvesIt obtains so that loss function Lf takes The φ of minimum valuei+1Numerical solution;
4) with φi+1For target value, decision-tree model is established according to step S6 and obtains fi+1
5) it repeats the above steps, symbiosis is set at L, and get a promotion decision tree:
fboost(F)=f0(F)+ηf1(F)+...+ηfL(F);
S8:Zinc flotation froth sample data input computer to be detected is obtained, computer is according to step S3, S4 calculating process texture Obtained process grain feature is inputted model obtained in S7, the zinc concentrate grade of prediction can be obtained by feature.
2. the Pb-Zn deposits grade flexible measurement method of Kernel-based methods textural characteristics according to claim 1, it is characterised in that:
Estimate parameter A, the value of C, V are arranged into a column vector F, and steps are as follows:
1) by the y (k) in the Gauss Markov sliding autoregression model in S4, following form of doing, Y=[y (1), y (2), y are write (3),...,y(q)];
2) all output y (k) of model are found out, k=1,2 ..., the average value y of qm,Enable Yq=Y-ym
3) using a mapping function from m*q dimension space to real number field as probability density function, to simulate y (k), mathematics Expression formula is as follows:
Wherein:μ is one and YqThe identical matrix of shape, ∑ is a symmetrical matrix and element is positive number, and z is a normalization Constant;
4) it solves so that p (Yq) it is maximum when parameter value, i.e.,
A, C, V are arranged in a column vector FiIf its dimension is n, Fi (j)Indicate FiJ-th of component.
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