CN107103758A - A kind of city area-traffic method for predicting based on deep learning - Google Patents

A kind of city area-traffic method for predicting based on deep learning Download PDF

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CN107103758A
CN107103758A CN201710427408.0A CN201710427408A CN107103758A CN 107103758 A CN107103758 A CN 107103758A CN 201710427408 A CN201710427408 A CN 201710427408A CN 107103758 A CN107103758 A CN 107103758A
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lpr
net region
data
equipment
period
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CN107103758B (en
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范晓亮
郑传潘
李军
王程
陈龙彪
臧彧
温程璐
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Xiamen University
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    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/01Detecting movement of traffic to be counted or controlled
    • G08G1/0104Measuring and analyzing of parameters relative to traffic conditions
    • G08G1/0125Traffic data processing
    • G08G1/0129Traffic data processing for creating historical data or processing based on historical data

Abstract

The invention discloses a kind of city area-traffic method for predicting based on deep learning, this method provides a kind of new thinking by extracting Higher Dimensional Space Time feature that the magnitude of traffic flow changes to the magnitude of traffic flow in each region in city while being predicted for Forecast of Urban Traffic Flow forecasting problem.The historical traffic of urban area each period is calculated according to the data of LPR equipment first;Then ConvLSTM and CNN design flow forecast models are utilized, and extract the data on flows for the material time section for influenceing prediction period as input training pattern;The prediction of city area-traffic flow is finally carried out using the model trained.

Description

A kind of city area-traffic method for predicting based on deep learning
Technical field
The present invention relates to a kind of city area-traffic method for predicting based on deep learning, by using deep learning Convolutional neural networks and convolution length in technology memory network in short-term, with reference to the net region division methods of city road network, are realized The prediction of city area-traffic flow, belongs to the interleaving techniques application field of deep learning and intelligent transportation system.
Background technology
Intelligent transportation system (ITS) is the system that information and communication technology (ICT) is applied to road transport field, and it is by handing over The innovation of logical management mode, enables people to be best understood from, more coordinates, reasonably utilizes transportation network.In recent years, intelligence The fast development of traffic system provides effective solution for the continuous growth of transportation network demand, is to build smart city Core link.At present, intelligent transportation system is solving urban road congestion, city capacity deployment, urban safety, city basis Have been obtained for being widely applied on the problems such as facilities planning.
Accurate traffic flow forecasting system is ITS core, and people have done in traffic flow forecasting problem Substantial amounts of research work.These research work can substantially be divided into two classes:One class is with the traditional mathematicses physics such as mathematical statistics Forecast model based on method, such as autoregression model (AR), ARMA model (ARIMA), history averaging model (HA), Kalman filter model (KFM) etc.;Another kind of is the forecast model based on neutral net, such as BP neural network mould Type, stack own coding (SAE), convolutional neural networks model (CNN), recurrent neural networking model (RNN) etc..
Existing method or the defect of invention:1) existing method only focuses on the traffic flow forecasting of single-point or single channel section mostly, The volume forecasting in region is not suitable for, because point or section can not represent region;2) existing method only considers traffic mostly Changes in flow rate is in the dependence of time dimension or the relevance of Spatial Dimension, the space-time without considering magnitude of traffic flow change simultaneously Feature;3) existing method only focuses on traffic flow forecasting in short-term mostly, and lacks the support to long-time method for predicting.
The content of the invention
It is an object of the invention to provide a kind of city area-traffic method for predicting based on deep learning, by depth Practise and be applied to city area-traffic volume forecasting, using the traffic flow data of history as input, entered using multi-layer C onvLSTM Row Higher Dimensional Space Time feature extraction, dimension-reduction treatment is made finally by the CNN of individual layer, and acquisition predicts the outcome, and this method is handed over by extracting The Higher Dimensional Space Time feature of through-current capacity change is predicted simultaneously to the magnitude of traffic flow in each region in city, is that Forecast of Urban Traffic Flow is pre- Survey problem provides a kind of new thinking.
The historical traffic of urban area each period is calculated according to the data of LPR equipment first;Then utilize ConvLSTM and CNN design flow forecast models, and extract the data on flows work of the material time section of influence prediction period For input training pattern;The prediction of city area-traffic flow is finally carried out using the model trained.
Concretely comprise the following steps:
S1, the net region that city road network is divided into M × N, according to longitude and latitude by each LPR device maps to grid regions In domain;
S2, LPR data are pre-processed, obtain each LPR equipment each period crosses car record, is set with reference to LPR The standby mapping relations with net region, obtain traffic flow data of each net region within each period;
S3, the data on flows of the material time section of selection influence prediction period are used as the input of traffic flow forecasting module;
S4, using convolution length, memory network and convolutional neural networks build forecast model in short-term, and forecast model is instructed Practice, choose the minimum model of error as optimum prediction model, calculated by the model and obtain the pre- of city area-traffic flow Measured value.
Further, step S1 is specifically included:
S11, the net region for according to longitude and latitude city road network being divided into M × N;
S12, each LPR equipment is mapped in net region according to longitude and latitude, the LPR in net region (m, n) is set It is standby to be designated as L (m, n)={ L1, L2... Li..., Lk, wherein LiRepresent the numbering of i-th of equipment in net region (m, n), k Represent to have k equipment in the net region.
Further, step S2 is specifically included
S21, the critical field { L, P, τ } for extracting LPR data, wherein L represent device numbering, and P represents the car of equipment L records The trade mark, τ represents the time of its record;
S22, to LPR data carry out filtering cleaning, deletion error, redundant data;
S23, by one day T period was divided into, according to S22 result, extracts each equipment in each time Car record is crossed in section;
S24, the mapping relations according to LPR equipment and net region, are associated with its corresponding by the record of car excessively of LPR equipment In net region, obtain each LPR equipment in each net region and cross car record within each period;
S25, the LPR number of devices in each net region calculate the traffic in each each period of net region Data on flows;
S26, to obtained in S25 all periods all net regions data on flows x be normalized, then haveIn formula, x ' is the flow after normalization, xmaxAnd xminFor all net region flows of all periods most Big value and minimum value, the data on flows of time period t is the three-dimensional matrice of the passage of M row N row 1 after normalization, is designated as Xt∈RM×N×1
Further, the computational methods of the traffic flow data in step S25 in each each period of net region are:
If not being predicted in a, net region (m, n) without LPR equipment to its flow then, flow is designated as 0;
If only one of which LPR equipment in b, net region (m, n), then calculate this LPR equipment and cross car number in time period t It is used as flow of the region in time period t;
If the number of devices more than one in c, net region (m, n), each mistake of LPR equipment in time period t is calculated first Car number is simultaneously summed, and when then multiple LPR equipment for being likely to occur record same vehicle, is handled in such a way:
In net region if (m, n), LPR equipment LIAnd LjSame vehicle P is successively recorded in same time period tA, it is remembered The record time is respectively τiWith τjIf,Then it is considered vehicle PAIdentical strip path curve be repeatedly recorded, asked above-mentioned The result of sum subtracts 1;Otherwise former result is retained;In formula, d (Li, Lj) it is LPR equipment Li、LjThe distance between, λ is given threshold.
Further, step S3 is specifically included:
S31, selection are nearestThe data on flows of section at the same time on the same day in week, is designated as
S32, selection are nearestThe data on flows of its section at the same time, is designated as
S33, selection are nearestThe data on flows of individual period, is designated as
S34, using the combination of above-mentioned three groups of data as input, be designated asXtIt is used as output, structure Build a sampleAll data are according to said method built into sample, and be divided into by a certain percentage training set, checking collection with Test set.
Further, step S4 is specifically included:
S41, structure forecast model, the model include 4 layers of convolution length memory network layer, 4 layers batches of specifications layers and one layer in short-term Convolutional neural networks layer;
S42, forecast model are 9 layers of network, wherein first 8 layers are convolution length memory network layer and batch group of specification layer in short-term Close, i.e., memory network layer is followed by one batch of specification layer to each convolution length in short-term, and each batch of specification layer is followed by a convolution length When memory network layer, the 9th layer for individual layer convolutional neural networks layer;
Memory network layer, using the convolution kernel of 64 3 × 3, is operated using zero padding, used in short-term for S43, each convolution length Relu functions are used as activation primitive;
S44, convolutional neural networks use the convolution kernel of 13 × 3 layer by layer, are operated using zero padding, use sigmoid functions It is used as activation primitive;
S45, the object function of forecast model are mean square error function MSE, then have:
Wherein, XiRepresent real traffic,Predicted flow rate is represented, s represents sample number, M, and N is the line number and columns of grid;
S46, being trained in training set input prediction model, the minimum models of MSE are chosen as most according to checking collection Whole forecast model;
In S47, the model that test set input S46 is trained, obtain after output result, then carry out renormalization, obtain Final urban area volume forecasting result.
After adopting the above technical scheme, the present invention has the following advantages that compared with background technology:
1st, existing method only focuses on the volume forecasting of single-point or single channel section mostly, and method proposed by the present invention is based on convolution The long layer of memory network in short-term is predicted with convolutional neural networks layer, the magnitude of traffic flow in the region of each in city and its peripheral region The magnitude of traffic flow in other regions is related in domain or even whole city, and convolutional coding structure can learn a region and other weeks The discharge relation in region is enclosed, with the intensification of the convolution number of plies, effect characteristicses of the peri-urban region to the region can be learnt;2、 Existing method only considers magnitude of traffic flow change feature in time or spatially mostly, and the convolution in Forecasting Methodology of the present invention The long layer of memory network in short-term extracts space characteristics by convolutional coding structure, and temporal characteristics are obtained by LSTM structures, and in its algorithm Bottom is combined convolutional neural networks with LSTM, can learn the high-dimensional space-time characteristic of magnitude of traffic flow change, effective integration Time dimension and Spatial Dimension, so as to substantially increase precision of prediction;
3rd, convolutional Neural sets a convolution kernel, can make dimension-reduction treatment to high-dimensional space-time characteristic, be operated by zero padding, The volume forecasting in all regions in city can be realized;
4th, existing method only focuses on short-term traffic flow forecast mostly, and city area-traffic flow proposed by the present invention is pre- Survey method can realize regional traffic flow prediction in short-term in one hour by choosing specific list entries, both, can also be real Existing 24 hours, the prolonged regional traffic flow prediction such as one week;
To sum up, the other occasion of City-level and the emphasis of festivals or holidays prison therefore disclosed method is particularly suitable for use in Survey the traffic flow forecasting in region.
Brief description of the drawings
Fig. 1 is the algorithm flow chart of the city area-traffic method for predicting based on deep learning;
Fig. 2 is that city road network net region divides schematic diagram;
Fig. 3 represents X for the flow of time period t city area-traffic flowt
Fig. 4 is input and the schematic diagram exported;
Fig. 5 is the schematic diagram of forecast model calculating process.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, it is right below in conjunction with drawings and Examples The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and It is not used in the restriction present invention.
Embodiment
As shown in Fig. 1 the algorithm flow chart of the city area-traffic method for predicting based on deep learning, its is pre- Examining system includes magnitude of traffic flow computing module and traffic flow forecasting module based on net region.In magnitude of traffic flow computing module In, net region division is carried out to urban road network according to longitude and latitude first, and by the car plate in the section of each in city road network Recognize (LPR) device map into net region;Secondly, obtained according to the data of LPR equipment in each equipment each period Cross car record;Again, the result of above-mentioned two step of fusion calculates the magnitude of traffic flow in each period of each net region;Most Afterwards, data on flows is normalized.In traffic flow forecasting module, the magnitude of traffic flow of material time section is chosen first Data as convolution length memory network (ConvLSTM) in short-term input, during the higher-dimension changed by the e-learning magnitude of traffic flow Empty feature;Secondly, dimension-reduction treatment is carried out to Higher Dimensional Space Time feature by convolutional neural networks (CNN);Finally, renormalization is passed through Obtain final urban area volume forecasting result.
Concretely comprise the following steps:
S1, city road network is subjected to net region division, according to longitude and latitude by each LPR device maps to net region In:
S11, the net region for according to longitude and latitude city road network being divided into M × N;
S12, each LPR equipment is mapped in net region according to longitude and latitude, the LPR in such as net region (m, n) is set It is standby to be designated as L (m, n)={ L1, L2... Li..., Lk, wherein LiRepresent the numbering of i-th of equipment in net region (m, n), k Represent to have k equipment in the net region.
S2, LPR data are pre-processed, obtain each equipment each period crosses car record, with reference to LPR equipment with The mapping relations of net region, obtain traffic flow data of each net region within each period;
S21, the critical field { L, P, τ } for extracting LPR data, wherein L represent device numbering, and P represents the car of equipment L records The trade mark, τ represents the time of its record;
S22, to LPR data carry out filtering cleaning, deletion error, redundant data;
S23, by one day T period was divided into, according to S22 result, extracts each equipment in each time Car record is crossed in section;
S24, the mapping relations according to LPR equipment and net region, are associated with its corresponding by the record of car excessively of LPR equipment In net region, obtain crossing car record in each equipment each period in each net region;
S25, the magnitude of traffic flow for net region (m, n) in time period t, point following three kinds of situations are calculated:
Without LPR equipment in net region if (m, n), expression is without road network or is not traffic hot spot region, not to it Flow is predicted, and flow is designated as 0;
If only one of which LPR equipment in net region (m, n), then calculate this equipment and cross car number conduct in time period t Flow of the region in time period t;
If the number of devices more than one in net region (m, n), each equipment is calculated first and crosses car number in time period t And sum, when then the multiple equipment for being likely to occur records same vehicle, handle in such a way:
If in grid (m, n), LI、LjSame vehicle P is successively recorded in same time period tA, the record time is respectively τi、 τji、τjFor registration of vehicle P in the net regionAThe closest time, i.e., in time period t, to region (m, n),If(wherein, d (Li, Lj) it is equipment LI、 LjThe distance between, λ is given threshold), then it is assumed that it is vehicle PAIdentical strip path curve be repeatedly recorded, by the knot of above-mentioned summation Fruit subtracts 1, does not otherwise subtract 1;
The traffic flow data in each period of each net region is calculated as stated above.
S26, by obtain all periods all net regions data on flows carry out unified normalized, calculate public Formula:Wherein x ' is the flow after normalization, xmaxAnd xminFor all net region flows of all periods The data on flows of time period t is the three-dimensional matrice of the passage of M row N row 1 after maximum and minimum value, normalization, is designated as Xt∈RM ×N×1
S3, the data on flows of the material time section of selection influence prediction period are used as the input of traffic flow forecasting module:
S31, for prediction Xt, choose nearestThe data on flows of section at the same time on the same day in week, is designated as
S32, for prediction Xt, choose nearestThe data on flows of its section at the same time, is designated as
S33, for prediction Xt, choose nearestThe data on flows of individual period, is designated as
S34, using the combination of above-mentioned three groups of data as input, be designated asXtIt is used as output, structure Build a sampleAll data are according to said method built into sample, and be divided into by a certain percentage training set, checking collection with Test set.
S4, using convolution length, memory network (ConvLSTM) and convolutional neural networks (CNN) build forecast model in short-term, right Forecast model is trained, and is chosen the minimum model of error as optimum prediction model, is calculated by the model and obtain metropolitan district The predicted value of the domain magnitude of traffic flow.
S41, structure forecast model, the model include 4 layers of convolution length memory network layer (ConvLSTM), 4 layers batches of rule in short-term Model layer (Batch Normalization) and one layer of convolutional neural networks layer (CNN);
S42, forecast model are 9 layers of network, wherein the first 8 layers combination for ConvLSTM and batch specification layer is (each ConvLSTM layers are followed by one batch of specification layer, then connect ConvLSTM layers, so series connection, constitute 8 layers of network), the 9th layer is single The CNN of layer;
S43, each ConvLSTM layers use the convolution kernel of 64 3 × 3, (zero-padding) is operated using zero padding, made Activation primitive is used as with relu functions;
S44, CNN layers, using the convolution kernel of 13 × 3, are operated using zero padding, and activation letter is used as using sigmoid functions Number;
S45, the object function of forecast model are mean square error function (MSE), as follows:
Wherein, XiRepresent real traffic,Predicted flow rate is represented, s represents sample number, M, and N is the line number and columns of grid;
S46, being trained in training set input prediction model, the minimum models of MSE are chosen as most according to checking collection Whole forecast model;
In S47, the model that test set input S46 is trained, obtain after output result, then carry out renormalization, obtain Finally predict the outcome.
Some steps come with reference to specific example in detailed description method.
First, city road network net region is divided
Fig. 2 show the net region of Fujian province Xiamen City Xiamen Island road network 18 × 18 and divides schematic diagram, is set according to LPR Each device map into net region, is obtained the LPR device numberings included in each net region, such as net by standby longitude and latitude LPR equipment in lattice region (m, n) is designated as L (m, n) { L1, L2... Li..., Lk}。
2nd, the magnitude of traffic flow is calculated
Period division was carried out for interval (T=24) with one hour according to the record time of LPR device datas, grid is counted The car of crossing of region daily 24 periods each period is recorded, and according to LPR equipment and the mapping relations of net region, counts net Car record is crossed in each period of lattice region, the magnitude of traffic flow number in each period in net region is calculated by the following method According to:
Without LPR equipment in net region if (m, n), expression is without road network or is not traffic hot spot region, not to it Flow is predicted, and flow is designated as 0;
If only one of which LPR equipment in net region (m, n), then the car number scale of crossing for calculating the equipment each period is to be somebody's turn to do The magnitude of traffic flow in each period of region;
If the number of devices more than one in net region (m, n), is illustrated below:
Assuming that having two equipment L in net region (m, n)1、L2, in time period t, L1Be recorded asL2Be recorded as If(λ is threshold value, be may be set to 10), then net The magnitude of traffic flow of the lattice region (m, n) in time period t is 3+2-1=4, is otherwise 5;
Method can calculate the magnitude of traffic flow for obtaining regional in each hours section, such as Fig. 3 as described above The city area-traffic flow for showing time period t represents Xt, then it is normalized according to min-max standardized methods.
3rd, list entries is obtained
The flow of time period t with its beforeThe flow of individual time step has certain continuity, and before itIts synchronization Flow has certain periodicity, and before itThe flow of all synchronizations on the same day has certain similitude.For prediction Xt, Take Order inputInputting step-length is Desired output is Xt, sample pair is built, and by 8:1:1 point is training set, checking collection and test set.
By designing list entries, but realize in short-term or it is long when volume forecasting.It is exemplified below:
If following one hour urban area flow of prediction, can set T=24, If Urban area flow after predicting 24 hours, can set T=24,If after prediction one week Urban area flow, can set T=24,It is illustrated in figure 4 the input and output of system Schematic diagram.
The design and training of forecast model:
Forecast model is made up of 4 layers ConvLSTM layers, 4 layers batches of specification layers and one layer of CNN layers.8 layers are before network (each ConvLSTM layers is followed by one batch of specification layer, then connects ConvLSTM layers, so for the combination of ConvLSTM and batch specification layer Series connection, the network of 8 layers of composition), the 9th layer of CNN for individual layer.
Each ConvLSTM layers, using the convolution kernel of 64 3 × 3, operate (zero-padding) using zero padding, use Relu functions are as activation primitive, and the input and output sequence length of ConvLSTM layers of three first layers is identical, last layer of ConvLSTM The output sequence length of layer is 1;CNN layers, using the convolution kernel of 13 × 3, operate (zero-padding) using zero padding, use Sigmoid functions are used as activation primitive;The object function of forecast model is mean square error function (MSE).
Fig. 5 is the schematic diagram of forecast model calculating process.Being trained in training set input prediction model, according to checking Collection chooses the minimum models of MSE as final forecast model, and test set is inputted in the model trained, output result is obtained Afterwards, then renormalization is carried out, is finally predicted the outcome.
The foregoing is only a preferred embodiment of the present invention, but protection scope of the present invention be not limited thereto, Any one skilled in the art the invention discloses technical scope in, the change or replacement that can be readily occurred in, It should all be included within the scope of the present invention.Therefore, protection scope of the present invention should be with scope of the claims It is defined.

Claims (6)

1. a kind of city area-traffic method for predicting based on deep learning, it is characterised in that:Comprise the following steps:
S1, the net region that city road network is divided into M × N, according to longitude and latitude by each LPR device maps to net region In;
S2, LPR data are pre-processed, obtain each LPR equipment each period crosses car record, with reference to LPR equipment with The mapping relations of net region, obtain traffic flow data of each net region within each period;
S3, the data on flows of the material time section of selection influence prediction period are used as the input of traffic flow forecasting module;
S4, using convolution length, memory network and convolutional neural networks build forecast model in short-term, and forecast model is trained, selected Take the minimum model of error as optimum prediction model, the predicted value for obtaining city area-traffic flow is calculated by the model.
2. a kind of city area-traffic method for predicting based on deep learning according to claim 1, its feature exists In step S1 is specifically included:
S11, the net region for according to longitude and latitude city road network being divided into M × N;
S12, each LPR equipment is mapped in net region according to longitude and latitude, the LPR equipment in net region (m, n) is remembered For L (m, n)={ L1, L2... Li..., Lk, wherein LiThe numbering of i-th of equipment in net region (m, n) is represented, k is represented K equipment is had in the net region.
3. a kind of city area-traffic method for predicting based on deep learning according to claim 1, its feature exists In step S2 is specifically included:
S21, the critical field { L, P, τ } for extracting LPR data, wherein L represent device numbering, and P represents the car plate of equipment L records Number, τ represents the time of its record;
S22, to LPR data carry out filtering cleaning, deletion error, redundant data;
S23, by one day T period was divided into, according to S22 result, extracts each equipment within each period Cross car record;
S24, the mapping relations according to LPR equipment and net region, its corresponding grid is associated with by the car record of crossing of LPR equipment In region, obtain each LPR equipment in each net region and cross car record within each period;
S25, the LPR number of devices in each net region calculate the magnitude of traffic flow in each each period of net region Data;
S26, to obtained in S25 all periods all net regions data on flows x be normalized, then haveIn formula, x ' is the flow after normalization, xmaxAnd xminFor all net region flows of all periods most Big value and minimum value, the data on flows of time period t is the three-dimensional matrice of the passage of M row N row 1 after normalization, is designated as Xt∈RM×N×1
4. a kind of city area-traffic method for predicting based on deep learning according to claim 3, its feature exists In the computational methods of the traffic flow data in step S25 in each period of each net region are:
If not being predicted in a, net region (m, n) without LPR equipment to its flow then, flow is designated as 0;
If only one of which LPR equipment in b, net region (m, n), then calculate this LPR equipment and cross car number conduct in time period t Flow of the region in time period t;
If the number of devices more than one in c, net region (m, n), each LPR equipment is calculated first and crosses car number in time period t And sum, when then multiple LPR equipment for being likely to occur record same vehicle, handle in such a way:
In net region if (m, n), LPR equipment LIAnd LjSame vehicle P is successively recorded in same time period tA, when it is recorded Between be respectively τiWith τjIf,Then it is considered vehicle PAIdentical strip path curve be repeatedly recorded, by above-mentioned summation As a result subtract 1;Otherwise former result is retained;In formula, d (Li, Lj) it is LPR equipment Li、LjThe distance between, λ is given threshold.
5. a kind of city area-traffic method for predicting based on deep learning according to claim 1, its feature exists In step S3 is specifically included:
S31, selection are nearestThe data on flows of section at the same time on the same day in week, is designated as
S32, the data on flows for choosing nearest d days sections at the same time, are designated as
S33, selection are nearestThe data on flows of individual period, is designated as
S34, using the combination of above-mentioned three groups of data as input, be designated asXtAs output, one is built Individual sampleAll data are according to said method built into sample, and are divided into training set, checking collection and test by a certain percentage Collection.
6. a kind of city area-traffic method for predicting based on deep learning according to claim 1, its feature exists In step S4 is specifically included:
S41, structure forecast model, the model include 4 layers of convolution length memory network layer, 4 layers batches of specifications layers and one layer of volume in short-term Product neural net layer;
S42, forecast model are 9 layers of network, wherein first 8 layers are convolution length memory network layer and batch combination of specification layer in short-term, Memory network layer is followed by one batch of specification layer to i.e. each convolution length in short-term, and each batch of specification layer is followed by a convolution length and remembered in short-term Recall Internet, the 9th layer of convolutional neural networks layer for individual layer;
Memory network layer, using the convolution kernel of 64 3 × 3, is operated using zero padding, uses relu letters in short-term for S43, each convolution length Number is used as activation primitive;
S44, convolutional neural networks use the convolution kernel of 13 × 3 layer by layer, are operated using zero padding, using sigmoid functions as Activation primitive;
S45, the object function of forecast model are mean square error function MSE, then have:
<mrow> <mi>M</mi> <mi>S</mi> <mi>E</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mi>s</mi> </mfrac> <mo>&amp;times;</mo> <mfrac> <mn>1</mn> <mrow> <mi>M</mi> <mo>&amp;times;</mo> <mi>N</mi> </mrow> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>s</mi> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mover> <mi>X</mi> <mo>^</mo> </mover> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow>
Wherein, XiRepresent real traffic,Predicted flow rate is represented, s represents sample number, M, and N is the line number and columns of grid;
S46, being trained in training set input prediction model, the minimum models of MSE are chosen as final pre- according to checking collection Survey model;
In S47, the model that test set input S46 is trained, obtain after output result, then carry out renormalization, obtain final Urban area volume forecasting result.
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