CN107909206A - A kind of PM2.5 Forecasting Methodologies based on deep structure Recognition with Recurrent Neural Network - Google Patents

A kind of PM2.5 Forecasting Methodologies based on deep structure Recognition with Recurrent Neural Network Download PDF

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CN107909206A
CN107909206A CN201711130537.XA CN201711130537A CN107909206A CN 107909206 A CN107909206 A CN 107909206A CN 201711130537 A CN201711130537 A CN 201711130537A CN 107909206 A CN107909206 A CN 107909206A
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CN107909206B (en
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刘珊
杨波
郑文锋
宋利红
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University of Electronic Science and Technology of China
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    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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Abstract

The invention discloses a kind of PM2.5 Forecasting Methodologies based on deep structure Recognition with Recurrent Neural Network, utilize the mass data of collection, according to deep learning and the prediction model of the PM2.5 of Recognition with Recurrent Neural Network the Theory Construction deep structure, pass through the extraction and training of data characteristics, realize the prediction of haze weather, it is intended to improve the efficiency and precision of haze prediction, prevents and administer to propose convictive decision-making foundation for haze.Prediction model does not almost have requirement for data structure, as long as energy self study when data are sufficiently large so that deep learning is very suitable for the needs of internet big data application instantly.

Description

A kind of PM2.5 Forecasting Methodologies based on deep structure Recognition with Recurrent Neural Network
Technical field
The invention belongs to environmental project in detection technique field, more specifically, it is related to one kind and is followed based on deep structure The PM2.5 Forecasting Methodologies of ring neutral net.
Background technology
Air quality is always the significant problem of relation mankind's future destiny, with social progress, the urgency of car ownership Increase severely plus cause people's particle content of inhaling in air to be substantially increased, problem of environmental pollution is on the rise.With air quality Continuous deterioration, haze weather phenomenon is more and more, and harm is increasing.Haze is a kind of hazard weather phenomenon.Inhalable Grain thing PM2.5, is only haze weather main reason, not only air quality is had a serious impact, it is important that human body is good for Health threatens huge.
Forecasting research for air quality has many thought and method, in numerous methods, based on system work The thought of journey, and effectively combine new theory and new method to environmental quality, especially haze, realizes quantitative research and effectively pre- Survey is Main Trends of The Development.
Due to the influence of a large amount of uncertain and complicated sexual factors such as climate, temperature, mankind's activity, all kinds of weather datas Time series there is the characteristic such as nonlinearity, uncertainty, conventional prediction method is difficult to grasp change therein Rule and variation characteristic.
The neutral net of shallow-layer is solving the problems, such as the simple or more positive effect of limitation, but due to modeling and table Show that ability is limited, run into some in real life it is more complicated be involved in the problems, such as that natural sign fulfillment capability is limited.
The neutral net of depth, has multiple stealthy layers, is taken out than traditional neural network with more the advantage in structure, feature As ability can be strong.Deep neural network uses a kind of brand-new coding mode, it is not necessary to is directly to solve the problems, such as algorithm for design And programming, it is only necessary to program for training process, oneself can just learn to the correct side solved the problems, such as during network retraining Method, in the case where data volume is guaranteed, simple algorithm can obtain special effect plus complicated data.
Simultaneously because the tremendous increase of chip process performance, increases and recent machine learning for trained data explosion There is remarkable progress with signal, information processing research, these all allow deep learning method efficiently use the non-linear of complexity Function and nonlinear compound function come the character representation that learns to be distributed and be layered and can substantially effectively using mark and The data of non-mark.
Recognition with Recurrent Neural Network (RNN) is a kind of depth network that can be used for unsupervised (and having supervision) study, and depth is even It can reach consistent with the length of list entries, under unsupervised learning pattern, RNN is used to pre- according to previous data sample Following data sequence is surveyed, and classification information is not used in learning process, therefore RNN is very suitable for sequence data modeling.
The content of the invention
It is an object of the invention to overcome the deficiencies of the prior art and provide a kind of based on deep structure Recognition with Recurrent Neural Network PM2.5 Forecasting Methodologies, by combining the basic theory of Recognition with Recurrent Neural Network, net structure and flow principle are pre- to build PM2.5 Model is surveyed, so as to fulfill the prediction of PM2.5.
For achieving the above object, a kind of PM2.5 Forecasting Methodologies based on deep structure Recognition with Recurrent Neural Network of the present invention, It is characterised in that it includes following steps:
(1), acquisition historical weather data, including temperature hourly, illumination, wind speed, rainfall, SO2, O3, NO, PM10, PM2.5 data target, wherein, temperature unit:DEG C, Light Units:Lm/ ㎡, wind speed unit:M/s, rainfall unit: Mm, SO2, O3, NO, PM10, PM2.5 are concentration datas;
(2), data prediction
(2.1), completion processing is carried out to missing historical weather data
The historical weather data lacked using averaging method completion:
Wherein, XtRepresent the missing historical weather data at current time, Xt-1Represent the missing weather history number of previous moment According to Xt+1The missing historical weather data of later moment in time before expression;
(2.2), all historical weather datas are normalized
Will be so historical weather data be normalized between -1~1 according to equation below;
Wherein, X' represents the historical weather data after normalization, and X represents the historical weather data before normalization,Represent Historical weather data average, XmaxRepresent historical weather data maximum, XminRepresent historical weather data minimum value;
(3), the historical weather data after the completion of pretreatment is proportionally divided into training data and test data;
(4), the PM2.5 prediction models based on deep learning theory and Recognition with Recurrent Neural Network construction deep structure
(4.1), deep layer Recognition with Recurrent Neural Network prediction model is built:One layer of input layer, multilayer hidden layer, one layer of input layer, Model depth is more than N layers, and input is training data, and output is the predicted value of PM2.5 concentration;
(4.2), set input layer dimension as K × (H-1), output layer dimension is 1 × T, input layer and hidden layer, hidden layer with The activation primitive of hidden layer, hidden layer and output layer uses Tanh functions;
Wherein, the depth that K expressions Recognition with Recurrent Neural Network is unfolded in temporal sequence, i.e. K time frame, each time frame are defeated Enter one group of historical weather data;H represents data target number, and T represents the prediction model output data number of Recognition with Recurrent Neural Network, Represent the PM2.5 concentration with the K bars historical data prediction following T moment, i.e., in order to input the weather data at preceding K moment, in advance The PM2.5 concentration datas at T moment after measuring;
(4.3), the loss function used in PM2.5 prediction models is selected
Using mean square error as loss function in PM2.5 prediction models:
Wherein, q represents iterations, and t is output vector dimension, yi,jRepresent the actual value of training data, yi,j' represent instruction Practice the predicted value of data;
(4.4), the parameter in PM2.5 prediction models is updated using small lot stochastic gradient descent algorithm
(4.4.1), initiation parameter θ0
(4.4.2), by training data, according to time series, often m training data is divided into one group, recycles small lot random Gradient descent algorithm calculates the Grad of each training data in first group of training data, and then Grad, which is weighted, averagely asks With obtain the downward gradient of this group of training dataI represents i-th group of training data,Represent the corresponding input of the τ training data, output data in i-th group;
(4.4.3), the downward gradient of this group of training data update the parameter in PM2.5 prediction models, parameter more new formula For:
Wherein, θi-1Represent the target component after the completion of one group of data training, θiAfter the completion of representing this group of training data Target component, η represent learning rate;
(4.4.4), after the completion of the target component renewal after the completion of this group of training data, return to step (4.4.2) carries out The training and renewal of next group of training data, until error amount is less than setting expected error value or last group of training data instruction Practice and terminate when completing, then update and preserve final argument, obtain the PM2.5 prediction models of training completion;
(5), whether judge PM2.5 prediction models reaches trained stop condition
Test set data are inputted into a K groups data into trained PM2.5 prediction models according to time series, Export T predicted value, then error judgment will be carried out between each predicted value and actual value, if error in allowed band, Think that prediction model completes training, otherwise return to step (4) re -training, until reaching stop condition;
(6), the prediction of PM2.5 is carried out using PM2.5 prediction models
Current K groups weather data is inputted to PM2.5 prediction models, exports T PM2.5 predicted value.
What the goal of the invention of the present invention was realized in:
A kind of PM2.5 Forecasting Methodologies based on deep structure Recognition with Recurrent Neural Network of the present invention, using the mass data of collection, According to deep learning and the prediction model of the PM2.5 of Recognition with Recurrent Neural Network the Theory Construction deep structure, pass through carrying for data characteristics Take and train, realize the prediction of haze weather, it is intended to improve the efficiency and precision of haze prediction, prevent and administer to propose for haze Convictive decision-making foundation.Prediction model does not almost have requirement for data structure, as long as data can be learnt by oneself when sufficiently large Practise so that deep learning is very suitable for the needs of internet big data application instantly.
Meanwhile a kind of PM2.5 Forecasting Methodologies based on deep structure Recognition with Recurrent Neural Network of the present invention are also with beneficial below Effect:
(1) initial data is transformed to higher level abstract table by some simple nonlinear models by prediction model Reach, recombinant multilayer conversion, study extracts extremely complex Function feature method.The prediction of traditional shallow structure is evaded Model is the expression ability in the case of finite sample and unit of account to complicated function is limited the problem of.
(2) core of prediction model is difference lies in multiple hidden layers, and each layer feature extraction is not artificial participation design, and It is to learn by oneself to obtain from data using general learning process, data structure is not required, simplifies data handling procedure, Raising efficiency.
(3) it can be achieved with the prediction of the PM2.5 concentration of this area using the data of different regions, according to actual conditions and want Seek the parameter for redefining PM2.2 prediction models, it is not necessary to rebuild network again, therefore there can be flexibility and removable Plant property.
Brief description of the drawings
Fig. 1 is a kind of PM2.5 Forecasting Methodology flow charts based on deep structure Recognition with Recurrent Neural Network of the present invention;
Embodiment
The embodiment of the present invention is described below in conjunction with the accompanying drawings, so as to those skilled in the art preferably Understand the present invention.Requiring particular attention is that in the following description, when known function and the detailed description of design perhaps When can desalinate the main contents of the present invention, these descriptions will be ignored herein.
Embodiment
Fig. 1 is a kind of PM2.5 Forecasting Methodology flow charts based on deep structure Recognition with Recurrent Neural Network of the present invention.
In the present embodiment, as shown in Figure 1, a kind of PM2.5 predictions based on deep structure Recognition with Recurrent Neural Network of the present invention Method, comprises the following steps:
S1, acquisition historical weather data, including temperature hourly, illumination, wind speed, rainfall, SO2, O3, NO, PM10, PM2.5 data targets, wherein, temperature unit:DEG C, Light Units:Lm/ ㎡, wind speed unit:M/s, rainfall unit:Mm, SO2, O3, NO, PM10, PM2.5 are concentration datas;
In the present embodiment, apply for obtaining the weather history number in May, 2014 in May, 2017 in China Meteorological Administration According to data message includes the temperature of each hour, illumination, wind speed, rainfall, SO2, O3, NO, PM10, PM2.5 data targets (wherein temperature unit:DEG C, Light Units:Lm/ ㎡, wind speed unit:M/s, rainfall unit:Mm, SO2, O3, NO, PM10, PM2.5 is concentration data), amount to 9 indexs, amount to 26280 × 9 data, ensure that the circulation nerve net of deep structure Network predicts the data volume of PM2.5 models.
S2, data prediction
S2.1, carry out completion processing to missing historical weather data
The weather data of collection is the historical data based on time series, collects data there are few missing data, uses The method completion missing data of average, ensures the integrality of data.
The formula of historical weather data using averaging method completion missing is:
Wherein, XtRepresent the missing historical weather data at current time, Xt-1Represent the missing weather history number of previous moment According to Xt+1The missing historical weather data of later moment in time before expression;
S2.2, be normalized all historical weather datas
Will be so historical weather data be normalized between -1~1 according to equation below;
Wherein, X' represents the historical weather data after normalization, and X represents the historical weather data before normalization,Represent Historical weather data average, XmaxRepresent historical weather data maximum, XminRepresent historical weather data minimum value;
S3, be divided into training data according to 70%, 30% ratio by the historical weather data after the completion of pretreatment and test number According to;
S4, the PM2.5 prediction models based on deep learning theory and Recognition with Recurrent Neural Network construction deep structure
In S4.1, the present embodiment, deep layer Recognition with Recurrent Neural Network prediction model is built:One layer of input layer, eight layers of hidden layer, one Layer input layer, model depth are 10 layers, and the number of nodes of input layer is 9, and the number of nodes of hidden layer is 50, and the number of nodes of output layer is 5, input is training data, and output is the predicted value of PM2.5 concentration;
S4.2, set input layer dimension as K × 9, and output layer dimension is 1 × T, input layer and hidden layer, and hidden layer is with hiding The activation primitive of layer, hidden layer and output layer uses Tanh functions;
Wherein, the depth that K expressions Recognition with Recurrent Neural Network is unfolded in temporal sequence, i.e. K time frame, each time frame are defeated Enter one group of historical weather data;T represents the prediction model output data number of Recognition with Recurrent Neural Network, and K bar historical datas are used in expression The PM2.5 concentration at prediction following T moment, i.e., in order to input the weather data at preceding K moment, T moment after predicting PM2.5 concentration datas;
The loss function used in S4.3, selection PM2.5 prediction models
In the present embodiment, in PM2.5 prediction models by data according to time series, concentrate from training data and chosen by section Go out subset MiAs a small lot data set, subset MiMiddle sample point number is m, comprising inputting and marking output data, is remembered For Mi(Xi,Yi), input data Xi, authentic signature output data is Yi, neural metwork training output data is to be expressed as Yi', Correspondence represents as follows:
Represent to input τ in temporal sequenceMatrix, that is, obtain
Row vector, τ=1,2 ..., m-k+1.
Each subset MiTraining loss function be chosen to be mean square error, represent to predict mould in given training data subset The error metrics of the parameter vector of type, are denoted asRepresented with equation below:
Wherein, q represents iterations, and t is output vector dimension, yi,jRepresent the actual value of training data, yi,j' represent instruction Practice the predicted value of data;
S4.4, using small lot stochastic gradient descent algorithm update PM2.5 prediction models in parameter
S4.4.1, initiation parameter θ0
S4.4.2, by training data, according to time series, often m training data is divided into one group, recycles small lot boarding steps The Grad that descent algorithm calculates each training data in first group of training data is spent, then q Grad is weighted flat Sum, obtain the downward gradient of this group of training dataI represents i-th group of training data,Represent the corresponding input of the τ training data, output data in i-th group;
S4.4.3, the downward gradient of this group of training data update the parameter in PM2.5 prediction models, parameter more new formula For:
Wherein, θi-1Represent the target component after the completion of one group of data training, θiAfter the completion of representing this group of training data Target component, η represent learning rate;
In the present embodiment, calculated with reference to embodiment in step S3, PM2.5 prediction models using small lot stochastic gradient descent During method training parameter, each subset MiIn need iteration (m-k+1) secondary, use K datas every time, it is rightDerivation obtains Average summation is weighted to the gradient of each parameter, and to m-k+1 gradient, the decline ladder as a small lot training Degree, then carries out parameter renewal, is specially:
S4.4.4, when after the completion of this group of training data target component renewal after the completion of, return to step S4.4.2 is carried out down The training and renewal of one group of training data, until less than setting expected error value or reaching last group training when downward gradient Data training terminates when completing, and then updates and preserves final argument, obtains the PM2.5 prediction models of training completion;
S5, judge PM2.5 prediction models whether reach trained stop condition
Test set data are inputted into a K groups data into trained PM2.5 prediction models according to time series, Export T predicted value, then error judgment will be carried out between each predicted value and actual value, if error in allowed band, Think that prediction model completes training, otherwise return to step S4 re -trainings, until reaching stop condition;
S6, the prediction using PM2.5 prediction models progress PM2.5
Current K groups weather data is inputted to PM2.5 prediction models, exports T PM2.5 predicted value.
Although the illustrative embodiment of the present invention is described above, in order to the technology of the art Personnel understand the present invention, it should be apparent that the invention is not restricted to the scope of embodiment, to the common skill of the art For art personnel, if various change appended claim limit and definite the spirit and scope of the present invention in, these Change is it will be apparent that all utilize the innovation and creation of present inventive concept in the row of protection.

Claims (1)

1. a kind of PM2.5 Forecasting Methodologies based on deep structure Recognition with Recurrent Neural Network, it is characterised in that comprise the following steps:
(1), acquisition historical weather data, including temperature hourly, illumination, wind speed, rainfall, SO2, O3, NO, PM10, PM2.5 data targets, wherein, temperature unit:DEG C, Light Units:Lm/ ㎡, wind speed unit:M/s, rainfall unit:Mm, SO2, O3, NO, PM10, PM2.5 are concentration datas;
(2), data prediction
(2.1), completion processing is carried out to missing historical weather data
The historical weather data lacked using averaging method completion:
<mrow> <msub> <mi>X</mi> <mi>t</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mrow> <mi>t</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>X</mi> <mrow> <mi>t</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> </mrow>
Wherein, XtRepresent the missing historical weather data at current time, Xt-1Represent the missing historical weather data of previous moment, Xt+1The missing historical weather data of later moment in time before expression;
(2.2), all historical weather datas are normalized
Will be so historical weather data be normalized between -1~1 according to equation below;
<mrow> <msup> <mi>X</mi> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <mfrac> <mrow> <mi>X</mi> <mo>-</mo> <mover> <mi>X</mi> <mo>&amp;OverBar;</mo> </mover> </mrow> <mrow> <msub> <mi>X</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>X</mi> <mi>min</mi> </msub> </mrow> </mfrac> </mrow>
Wherein, X' represents the historical weather data after normalization, and X represents the historical weather data before normalization,Represent history day Gas data mean value, XmaxRepresent historical weather data maximum, XminRepresent historical weather data minimum value;
(3), the historical weather data after the completion of pretreatment is proportionally divided into training data and test data;
(4), the PM2.5 prediction models based on deep learning theory and Recognition with Recurrent Neural Network construction deep structure
(4.1), deep layer Recognition with Recurrent Neural Network prediction model is built:One layer of input layer, multilayer hidden layer, one layer of input layer, model Depth is more than N layers, and input is training data, and output is the predicted value of PM2.5 concentration;
(4.2), input layer dimension is set as K × (H-1), and output layer dimension is 1 × T, input layer and hidden layer, and hidden layer is with hiding The activation primitive of layer, hidden layer and output layer uses Tanh functions;
Wherein, K represents the depth that Recognition with Recurrent Neural Network is unfolded in temporal sequence, i.e. K time frame, each time frame input one Group historical weather data;H represents data target number, and T represents the prediction model output data number of Recognition with Recurrent Neural Network, represents The PM2.5 concentration at following T moment is predicted with K bars historical data, i.e., in order to input the weather data at preceding K moment, is predicted The PM2.5 concentration datas at T moment afterwards;
(4.3), the loss function used in PM2.5 prediction models is selected
Using mean square error as loss function in PM2.5 prediction models:
<mrow> <mi>L</mi> <mi>o</mi> <mi>s</mi> <mi>s</mi> <msub> <mrow> <mo>(</mo> <mi>y</mi> <mo>,</mo> <msup> <mi>y</mi> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> <mrow> <mi>b</mi> <mi>a</mi> <mi>t</mi> <mi>c</mi> <mi>h</mi> </mrow> </msub> <mo>=</mo> <mi>J</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;theta;</mi> <mn>0</mn> </msub> <mo>;</mo> <msubsup> <mi>x</mi> <mi>i</mi> <mi>&amp;tau;</mi> </msubsup> <mo>;</mo> <msubsup> <mi>y</mi> <mi>i</mi> <mi>&amp;tau;</mi> </msubsup> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>q</mi> <mi>t</mi> </mrow> </mfrac> <mo>&amp;lsqb;</mo> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>q</mi> </msubsup> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>t</mi> </msubsup> <msup> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>-</mo> <msup> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>&amp;rsqb;</mo> </mrow>
Wherein, t is output vector dimension, yi,jRepresent the actual value of training data, yi,j' represent training data predicted value;
(4.4), the parameter in PM2.5 prediction models is updated using small lot stochastic gradient descent algorithm
(4.4.1), initiation parameter θ0
(4.4.2), by training data, according to time series, often m training data is divided into one group, recycles small lot stochastic gradient Descent algorithm calculates the Grad of each training training data in first group of training data, and then Grad, which is weighted, averagely asks With obtain the downward gradient of this group of training dataI represents i-th group of training data, Represent the corresponding input of the τ training data, output data in i-th group;
(4.4.3), the downward gradient of this group of training data update the parameter in PM2.5 prediction models, and parameter more new formula is:
<mrow> <msub> <mi>&amp;theta;</mi> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>&amp;theta;</mi> <mrow> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <mfrac> <mi>&amp;eta;</mi> <mi>q</mi> </mfrac> <msub> <mo>&amp;dtri;</mo> <msub> <mi>&amp;theta;</mi> <mi>i</mi> </msub> </msub> <mi>J</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;theta;</mi> <mn>0</mn> </msub> <mo>;</mo> <msubsup> <mi>x</mi> <mi>i</mi> <mi>&amp;tau;</mi> </msubsup> <mo>;</mo> <msubsup> <mi>y</mi> <mi>i</mi> <mi>&amp;tau;</mi> </msubsup> <mo>)</mo> </mrow> </mrow>
Wherein, θi-1Represent the target component after the completion of one group of data training, θiRepresent the target after the completion of this group of training data Parameter, η represent learning rate;
(4.4.4), after the completion of the target component renewal after the completion of this group of training data, return to step (4.4.2) carries out next The training and renewal of group training data, until error amount has been trained less than setting expected error value or last group of training data Into when terminate, then update and preserve final argument, obtain training completion PM2.5 prediction models;
(5), whether judge PM2.5 prediction models reaches trained stop condition
Test set data are inputted into a K groups data into trained PM2.5 prediction models according to time series, output T predicted value, then error judgment will be carried out between each predicted value and actual value, if error is in allowed band, then it is assumed that Prediction model completes training, otherwise return to step (4) re -training, until reaching stop condition;
(6), the prediction of PM2.5 is carried out using PM2.5 prediction models
Current K groups weather data is inputted to PM2.5 prediction models, exports T PM2.5 predicted value.
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