CN115419120A - Highway subgrade settlement monitoring and predicting method - Google Patents

Highway subgrade settlement monitoring and predicting method Download PDF

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CN115419120A
CN115419120A CN202210652439.7A CN202210652439A CN115419120A CN 115419120 A CN115419120 A CN 115419120A CN 202210652439 A CN202210652439 A CN 202210652439A CN 115419120 A CN115419120 A CN 115419120A
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subgrade
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CN115419120B (en
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崔新壮
姜鹏
张小宁
金青
李骏
杜业峰
郝建文
包振昊
路雨
李向阳
牟启硕
张圣琦
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Shandong University
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    • EFIXED CONSTRUCTIONS
    • E02HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
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    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01CCONSTRUCTION OF, OR SURFACES FOR, ROADS, SPORTS GROUNDS, OR THE LIKE; MACHINES OR AUXILIARY TOOLS FOR CONSTRUCTION OR REPAIR
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    • E02HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
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Abstract

The invention discloses a highway subgrade settlement monitoring and predicting method. According to the invention, the inside and outside combined monitoring system of the highway subgrade is constructed through the intelligent smart geobelt and the Beidou satellite for subgrade deformation monitoring, and the lightweight neural network model is constructed to realize high-efficiency and high-precision prediction of highway subgrade settlement, so that the system is not only suitable for common highway subgrades, but also suitable for widening the highway subgrade, has wide application scenes, can realize full-section full-life distributed monitoring of subgrade deformation, and can realize accurate and high-efficiency prediction of highway subgrade settlement.

Description

一种公路路基沉降监测预测方法A method for monitoring and predicting highway subgrade settlement

技术领域technical field

本发明涉及公路工程技术领域,具体为一种公路路基沉降预测方法。The invention relates to the technical field of highway engineering, in particular to a method for predicting highway subgrade settlement.

背景技术Background technique

路基的沉降变形在变化趋势上呈现出高度非线性特征,尤其在道路改扩建工程中,新拓宽路基和原有老路基在建设时间上通常久远,加之填筑材料、施工质量、施工参数等因素都会对路基的沉降变形产生影响。因此监测、预测路基的变形有利于及时采取针对措施对变形过大的路基进行后处理,也可以实现路基灾变有效安全预警。The settlement and deformation of the subgrade shows a highly nonlinear characteristic in the change trend, especially in road reconstruction and expansion projects, the construction time of the newly widened subgrade and the original old subgrade is usually long, and factors such as filling materials, construction quality, and construction parameters All will have an impact on the settlement deformation of the subgrade. Therefore, monitoring and predicting the deformation of the subgrade is conducive to timely taking targeted measures to post-process the subgrade with excessive deformation, and can also realize effective safety warning of subgrade disasters.

申请号CN201110257149.4专利公布了一种基于静力触探和BP神经网络的路基沉降预测方法,收集场地数据及沉降观测数据然后进行普通路基沉降预测。但普通BP神经网络的求解过程中,随着输入数据集规模的扩大、层数的增加、结构或连接形式的复杂化等一些列影响因素极易出现欠拟合、收敛慢或者过拟合等种种问题。Patent Application No. CN201110257149.4 discloses a roadbed settlement prediction method based on static penetrating sounding and BP neural network, which collects site data and settlement observation data and then predicts ordinary roadbed settlement. However, in the process of solving the ordinary BP neural network, with the expansion of the input data set scale, the increase of the number of layers, the complexity of the structure or connection form and other factors, it is easy to appear underfitting, slow convergence or overfitting, etc. All kinds of problems.

涉及到具体的路基变形观测数据的获取方法,包括申请号CN201611126688.3、CN201911367265.4等专利均采用测斜管监测侧向变形,但实际安装费用较高,测量步骤繁琐,监测设备寿命较短,不能伴随路基服役寿命进行持久监测,且无法获得全断面水平位移。It involves the specific acquisition method of subgrade deformation observation data, including application numbers CN201611126688.3, CN201911367265.4 and other patents, all of which use inclinometer tubes to monitor lateral deformation, but the actual installation costs are high, the measurement steps are cumbersome, and the life of the monitoring equipment is short , cannot carry out permanent monitoring along with the service life of the subgrade, and cannot obtain the full-section horizontal displacement.

故而,如何基于神经网络研发一种公路路基沉降监测预测方法,具备全断面全寿命分布式变形监测系统,不仅可适用于普通公路路基,还可实现拓宽路基沉降精准高效预测,是本领域的技术人员亟待解决的技术问题。Therefore, how to develop a road subgrade settlement monitoring and prediction method based on neural network, with a full-section and full-life distributed deformation monitoring system, not only applicable to ordinary road subgrades, but also to achieve accurate and efficient prediction of widened subgrade subsidence settlement is a technology in this field Technical problems that personnel urgently need to solve.

发明内容Contents of the invention

本发明针对现有技术存在的上述不足,提供一种公路路基沉降监测预测方法,应用场景广阔,可以实现路基变形的全断面全寿命分布式监测,同时预测路基沉降精度高及预测效率高。Aiming at the above-mentioned deficiencies in the prior art, the present invention provides a highway subgrade settlement monitoring and prediction method, which has a wide range of application scenarios, can realize distributed monitoring of subgrade deformation for full section and full life, and simultaneously predicts subgrade settlement with high precision and high prediction efficiency.

为实现上述目的,发明提供如下技术方案:To achieve the above object, the invention provides the following technical solutions:

公路路基沉降监测预测方法,从基础前馈神经网络入手,通过在形式上优化基础前馈神经网络的拓扑结构,在算法上对基础神经网络的学习参数添加惩罚项等手段建立一种用于路基沉降预测的轻质神经网络模型。为了进一步加速该神经网络模型的计算,改善过拟合问题,轻质神经网络在算法上,摒弃目前流行的梯度下降等容易导致局部最优的算法,采用一种新型拟牛顿法来完成对该神经网络的训练,使轻质神经网络在保证预测精度的同时又能提高自身的计算效率,从而避免过拟合问题的发生。在轻质神经网络模型设计完成后,采用内外联合监测法进行路基位移监测。所得实测数据进行数据集预处理,完成对轻质神经网络模型的训练过程,并用于公路路基沉降监测预测。全面评价轻质神经网络的预测能力、计算效率以及最优化结构,从而提出了一种基于轻质神经网络的公路路基沉降预测方法。The roadbed subsidence settlement monitoring and prediction method starts with the basic feedforward neural network, and establishes a method for subgrade by optimizing the topology structure of the basic feedforward neural network in form and adding penalty items to the learning parameters of the basic neural network in the algorithm. A lightweight neural network model for settlement prediction. In order to further accelerate the calculation of the neural network model and improve the over-fitting problem, the algorithm of the lightweight neural network abandons the current popular gradient descent and other algorithms that easily lead to local optimality, and adopts a new quasi-Newton method to complete the algorithm. The training of the neural network enables the lightweight neural network to improve its computational efficiency while ensuring the prediction accuracy, thereby avoiding the occurrence of over-fitting problems. After the design of the lightweight neural network model is completed, the subgrade displacement monitoring is carried out by using the joint internal and external monitoring method. The obtained measured data is preprocessed to the data set, and the training process of the lightweight neural network model is completed, and it is used for the monitoring and prediction of roadbed subsidence. A comprehensive evaluation of the prediction ability, computational efficiency and optimal structure of the lightweight neural network was carried out, and a prediction method for highway subgrade settlement based on the lightweight neural network was proposed.

进一步的,所述基础前馈神经网络为一个简单的3层前馈神经网络,包含1个输入层、1个隐藏层和1个输出层,其中隐藏层内包含j个神经元。对于此基础前馈神经网络,输入量In会从输入层中进入神经网络,之后再进入隐藏层。在中间隐藏层中,存在数量为j个的神经元,最后通过输出层输出。Further, the basic feedforward neural network is a simple 3-layer feedforward neural network, including 1 input layer, 1 hidden layer and 1 output layer, wherein the hidden layer contains j neurons. For this basic feed - forward neural network, the input quantity In enters the neural network from the input layer and then enters the hidden layer. In the middle hidden layer, there are j neurons, which are finally output through the output layer.

进一步的,所述在形式上优化基础神经网络的拓扑结构,是以基础前馈神经网络为基础,构建具有更多隐藏层的复杂神经网络,则上述学习过程中净输入量则会被作为“新输入量”以新的权重和偏置输入到下一个隐藏层的神经元中。同样地,该层神经元同样会通过激活函数再次转换这些“新输入量”,之后再将转换后的结果输入到下一个隐藏层,如此循环,直到被传递到输出层输出,完成基础神经网络模型的拓扑结构优化。Further, the formal optimization of the topology of the basic neural network is to construct a complex neural network with more hidden layers based on the basic feedforward neural network, then the net input in the above learning process will be used as " The new input "is fed into the neurons of the next hidden layer with new weights and biases. Similarly, the neurons in this layer will also convert these "new inputs" again through the activation function, and then input the converted results to the next hidden layer, and so on, until they are passed to the output layer to complete the basic neural network. Model topology optimization.

进一步的,所述在算法上对基础神经网络的学习参数添加惩罚项,是用最小二乘误差函数作为损失函数来训练网络模型参数。通过对该损失函数使用L1范数惩罚来预先获得其参数的一个相对稀疏的结构,完成神经网络的轻质化构建。Further, adding a penalty term to the learning parameters of the basic neural network algorithmically is to use the least square error function as a loss function to train network model parameters. By using the L 1 norm penalty on the loss function to obtain a relatively sparse structure of its parameters in advance, the lightweight construction of the neural network is completed.

进一步的,所述新型拟牛顿法,是以次梯度和主动集法为基础构建搜索方向和搜素步长的新型拟牛顿法。Further, the novel quasi-Newton method is a novel quasi-Newton method for constructing a search direction and a search step size based on subgradient and active set methods.

进一步的,所述内外联合监测法,是在监测断面外部边坡上的规定部位设置基准点,采用北斗监测系统进行路基表面竖向位移的定期观测。同时采用基于导电聚合物的土体变形监测系统及方法,在拓宽路基修筑时将机敏导电聚合物埋入路基内部,进行全断面的水平位移观测。Further, the internal and external joint monitoring method is to set a reference point at a specified position on the external slope of the monitoring section, and use the Beidou monitoring system to conduct regular observations of the vertical displacement of the subgrade surface. At the same time, the soil deformation monitoring system and method based on conductive polymers are used to embed smart conductive polymers into the interior of the roadbed when widening the roadbed to observe the horizontal displacement of the full section.

进一步地,北斗监测系统通过北斗二代三颗卫星进行定位,采用相对定位方法,通过全球卫星系统监测路基断面表面竖向位移,基于导电聚合物的土体变形监测系统通过智能机敏土工带监测路基内部水平位移。北斗监测系统由北斗接收天线、固定电源或太阳能电池板、接收机、无线传输模块等组成。其中北斗接收天线通过一连接支座与规定部位基准点相连接,基准点分别设置在测试断面新路基坡脚处、路肩处以及新旧路基结合部顶部。接收机、无线传输模块等均放置于一个设备保护箱中。利用北斗二代三颗卫星进行精确定位,采用相对定位方法,通过全球卫星系统基线解算来得到待测点和基准点的相对位置关系。Furthermore, the Beidou monitoring system uses three satellites of the second generation of Beidou for positioning, and uses the relative positioning method to monitor the vertical displacement of the surface of the subgrade section through the global satellite system. Internal horizontal displacement. The Beidou monitoring system is composed of Beidou receiving antenna, fixed power supply or solar panel, receiver, wireless transmission module, etc. Among them, the Beidou receiving antenna is connected to the reference point of the specified position through a connecting support, and the reference points are respectively set at the toe of the new subgrade slope of the test section, the shoulder of the road, and the top of the junction of the old and new subgrades. The receiver, wireless transmission module, etc. are placed in an equipment protection box. The three satellites of the second generation of Beidou are used for precise positioning, and the relative positioning method is used to obtain the relative position relationship between the point to be measured and the reference point through the baseline solution of the global satellite system.

进一步地,基于导电聚合物的土体变形监测系统采用机敏导电聚合物作为土体内部监测元件。将带状的机敏导电聚合物上不同测点处连接线缆,众多测点的线缆从带子末端伸出,然后将带子包装绝缘防护套制备成智能机敏土工带。智能机敏土工带水平埋入路基内部,其末端从路基边坡的坡面处露出,连接有线缆与数据采集站相连接,采集站通过网络上传到云端服务器,借助云端服务器实现监测数据的自动化采集监测。Further, the soil deformation monitoring system based on conductive polymers uses smart conductive polymers as soil internal monitoring components. Connect cables at different measuring points on the strip-shaped smart conductive polymer, and the cables of many measuring points protrude from the end of the belt, and then prepare the smart smart geotechnical belt by packing the insulating protective sleeve with the belt. The intelligent smart geotechnical belt is buried horizontally inside the roadbed, and its end is exposed from the slope of the roadbed side slope. It is connected with a cable to the data collection station. The collection station is uploaded to the cloud server through the network, and the automation of monitoring data is realized with the help of the cloud server. Collection monitoring.

进一步的,所述数据集预处理是采用归一化方法对训练数据集进行处理,可以将训练数据集映射到[0,1]的范围内,从而增强轻质神经网络的泛化能力。Further, the data set preprocessing is to use a normalization method to process the training data set, which can map the training data set to the range of [0,1], thereby enhancing the generalization ability of the lightweight neural network.

进一步的,所述轻质神经网络模型的训练过程,是将训练数据集分成验证集和训练集两部分,随机抽取有限数据作为验证集,其余的部分作为训练集使用。Further, the training process of the lightweight neural network model is to divide the training data set into two parts, a verification set and a training set, randomly select limited data as a verification set, and use the rest as a training set.

与现有技术相比,发明的有益效果是:Compared with the prior art, the beneficial effects of the invention are:

1、内外联合监测法可以实现路基变形数据的高精度实时智能化监测。1. The internal and external joint monitoring method can realize high-precision real-time intelligent monitoring of roadbed deformation data.

具体的,本专利中采用短基线双差北斗监测方案对路基变形予以观测,对于采集数据,采用联合双差无几何距离组合和消电离层观测值减去卫地距相组合的方法来对观测值进行处理。削弱或消除站星几何距离、大气层延时和各种噪声对定位的影响,从而减小测量误差,提高北斗全球卫星系统的定位精度。Specifically, in this patent, the short-baseline double-difference Beidou monitoring scheme is used to observe the deformation of the subgrade. For the collected data, the combination of the combined double-difference geometric distance and the combination of the ionospheric observation value minus the satellite-to-earth distance are used to observe value is processed. Weaken or eliminate the influence of station-to-satellite geometric distance, atmospheric delay and various noises on positioning, thereby reducing measurement errors and improving the positioning accuracy of the Beidou global satellite system.

具体的,本专利中采用的机敏导电聚合物耐久性好、强度高、造价成本低。筋材本身具备自检测技术不需要在材料内部埋入传感器。而且检测准确及时,性能稳定,通过对筋材变形和受力特征信息等进行提取,可实现路基横断面全断面定位土体破裂面,能够诊断加筋土体破坏状态,能够为土体安全预警提供更加合理的技术手段。Specifically, the smart conductive polymer used in this patent has good durability, high strength, and low manufacturing cost. The reinforcement itself has self-detection technology and does not need to embed sensors inside the material. Moreover, the detection is accurate and timely, and the performance is stable. By extracting the deformation and force characteristic information of the reinforcement, it can realize the location of the soil rupture surface in the entire section of the subgrade cross section, diagnose the damage state of the reinforced soil, and provide early warning for soil safety. Provide more reasonable technical means.

可以看到的是,采用内外联合检测法可以远程实现一体化智能化监测,无需测量人员亲临现场手动操作读取监测数据,且监测系统不仅可以做到高精度实时监测,还可以伴随路基服役寿命实现持久监测。It can be seen that the integrated intelligent monitoring can be realized remotely by using the internal and external joint detection method, without the need for surveyors to visit the site to manually read the monitoring data, and the monitoring system can not only achieve high-precision real-time monitoring, but also can accompany the service life of the subgrade Enable persistent monitoring.

2、采用损失函数及L1范数惩罚实现神经网络的轻质化构建。 2. Use the loss function and L1 norm penalty to realize the lightweight construction of the neural network.

具体的,采用最小二乘误差函数作为损失函数来训练网络参数,通过对该损失函数使用L1范数惩罚来预先获得其参数的一个相对稀疏的结构,完成神经网络的轻质化构建。此方法避免了随着输入数据集规模的扩大、层数的增加、结构或连接形式的复杂化等一些列影响因素的变换而出现欠拟合、收敛慢或者过拟合等种种问题。Specifically, the least square error function is used as the loss function to train the network parameters, and a relatively sparse structure of its parameters is obtained in advance by using the L 1 norm penalty on the loss function to complete the lightweight construction of the neural network. This method avoids various problems such as underfitting, slow convergence or overfitting due to the transformation of a series of influencing factors such as the expansion of the input data set scale, the increase in the number of layers, and the complexity of the structure or connection form.

3、采用基于次梯度和主动集法的新型拟牛顿法实现轻质神经网络的驱动。3. A new quasi-Newton method based on subgradient and active set methods is used to drive the lightweight neural network.

具体的,利用一个近似矩阵

Figure BDA0003683670290000041
来代替牛顿法中的海塞尔矩阵
Figure BDA0003683670290000042
避免涉及计算海塞尔矩阵的逆矩阵。该计算过程十分繁琐且无法保证迭代过程中海塞尔矩阵保持正定性,因此容易使神经网络的学习陷入局部最优,而无法获得准确的预测结果。在拟牛顿法基础上再采用主动集法对其中的超参数进行二次规划,彻底获得轻质神经网络的稀疏结构,从而有效降低轻质神经网络的过拟合风险,于此同时也能显著提升轻质神经网络的学习效率。Specifically, using an approximate matrix
Figure BDA0003683670290000041
to replace the Hessel matrix in Newton's method
Figure BDA0003683670290000042
Avoid involving computing the inverse of a Hessel matrix. The calculation process is very cumbersome and cannot guarantee the positive definiteness of the Hessel matrix during the iterative process, so it is easy to make the learning of the neural network fall into a local optimum, and it is impossible to obtain accurate prediction results. On the basis of the quasi-Newton method, the active set method is used to perform quadratic programming on the hyperparameters, and the sparse structure of the lightweight neural network is thoroughly obtained, thereby effectively reducing the risk of over-fitting of the lightweight neural network. At the same time, it can also significantly Improve the learning efficiency of lightweight neural networks.

4、采用轻质神经网络实现路基沉降的高精度高效率预测。4. Using lightweight neural network to realize high-precision and high-efficiency prediction of subgrade settlement.

基于内外联合监测法所测得的一手数据,利用轻质神经网络进行预测所得到的沉降值绝大部分都与对应的观测沉降值相吻合,轻质神经网络对路基沉降的预测准确性更好且预测能力稳定,同时轻质神经网络可以大幅度地提高训练效率。Based on the first-hand data measured by the internal and external joint monitoring method, most of the settlement values obtained by using the lightweight neural network to predict are consistent with the corresponding observed settlement values, and the prediction accuracy of the lightweight neural network for subgrade settlement is better And the prediction ability is stable, and the lightweight neural network can greatly improve the training efficiency.

附图说明Description of drawings

图1为一种公路路基沉降监测预测方法技术流程图;Fig. 1 is a technical flow chart of a roadbed subsidence monitoring and prediction method;

图2为基础前馈神经网络拓扑图;Fig. 2 is the topological diagram of the basic feedforward neural network;

图3为实施例1水平填筑拓宽路基沉降实测值与预测值对比图;Fig. 3 is the contrast chart of measured value and predicted value of subgrade settlement of widening subgrade of horizontal filling of embodiment 1;

图4为实施例1普通BP神经网络与轻质神经网络计算效率对比图;Fig. 4 is the comparison chart of computing efficiency between common BP neural network and lightweight neural network in embodiment 1;

图5为实施例2分部填筑拓宽路基沉降实测值与预测值对比图;Fig. 5 is the contrast chart of measured value and predicted value of settlement of subgrade filling widening subgrade of embodiment 2;

图6为实施例2普通BP神经网络与轻质神经网络计算效率对比图;Fig. 6 is the comparison chart of computing efficiency between common BP neural network and lightweight neural network in embodiment 2;

具体实施方式Detailed ways

下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

本发明所涉及的一种公路路基沉降监测预测方法,如图1所示包括以下流程:A method for monitoring and predicting highway subgrade settlement involved in the present invention, as shown in Figure 1, includes the following processes:

优化基础神经网络的拓扑结构S1、对学习参数添加惩罚项S2、采用新型拟牛顿法训练该神经网络S3、采用内外联合监测法监测路基位移S4、实测数据集预处理S5、训练轻质神经网络S6。Optimize the topology of the basic neural network S1, add penalty items to the learning parameters S2, use the new quasi-Newton method to train the neural network S3, use the internal and external joint monitoring method to monitor the subgrade displacement S4, preprocess the measured data set S5, and train the lightweight neural network S6.

S1优化基础神经网络的拓扑结构:S1 optimizes the topology of the basic neural network:

如图2所示的基础神经网络中,每个输入量以未知系数w表示的信号强度(权重)和b表示的强度调节项(偏置)连接到每个神经元,以符号

Figure BDA0003683670290000061
表示输入层中第n个量以权重w向隐藏层中第j个神经元输入;以符号
Figure BDA0003683670290000062
表示第i个隐藏层中第j个神经元的偏置项。然后,被连接的第j个神经元可将输入量通过一个激活函数进行转换(激活神经元),激活函数为某个特定的非线性函数,被转换后的输入量称为净输入量,以符号
Figure BDA0003683670290000063
表示第i个隐藏层中第j个激活神经元的净输入量。最后,激活的神经元会将净输入量传递到输出层输出。In the basic neural network shown in Figure 2, each input quantity is connected to each neuron by the signal strength (weight) represented by the unknown coefficient w and the strength adjustment item (bias) represented by b, and the symbol
Figure BDA0003683670290000061
Indicates that the nth quantity in the input layer is input to the jth neuron in the hidden layer with weight w; the symbol
Figure BDA0003683670290000062
Denotes the bias term for the jth neuron in the ith hidden layer. Then, the connected jth neuron can convert the input through an activation function (activation neuron). The activation function is a specific nonlinear function, and the converted input is called the net input. symbol
Figure BDA0003683670290000063
Indicates the net input to the j-th activated neuron in the i-th hidden layer. Finally, activated neurons pass the net input to the output layer output.

以图2所示基础前馈神经网络为基础,构建具有更多隐藏层的复杂神经网络,则上述学习过程中净输入量则会被作为“新输入量”以新的权重和偏置输入到下一个隐藏层的神经元中。同样地,该层神经元同样会通过激活函数再次转换这些“新输入量”,之后再将转换后的结果输入到下一个隐藏层,如此循环,直到被传递到输出层输出。所述的基础神经网络拓扑结构优化过程可表述如下:Based on the basic feed-forward neural network shown in Figure 2, a complex neural network with more hidden layers is constructed, and the net input in the above learning process will be used as a "new input" with new weights and biases. neurons in the next hidden layer. Similarly, the neurons in this layer will also convert these "new inputs" again through the activation function, and then input the converted results to the next hidden layer, and so on until they are passed to the output layer for output. The described basic neural network topology optimization process can be expressed as follows:

Figure BDA0003683670290000064
Figure BDA0003683670290000064

其中,Iij是输入量x组成的矩阵,下标表示第i个量向第1个隐藏层的第j个神经元输入;i是输入量个数;j是每个隐藏层的神经元数;ei是残差;wk是第1个隐藏层的第k个神经元的权重;bk是第1个隐藏层的第k个神经元的偏置;

Figure BDA0003683670290000065
是预先输入到神经网络中的第k个预置参数,由权重和偏置组成,通过预先对神经网络进行训练得到;ak是激活函数,研究中采用双曲正切函数,即ak=(e2x-1)/(e2x+1)。Among them, I ij is a matrix composed of input quantities x, and the subscript indicates that the i-th quantity is input to the j-th neuron of the first hidden layer; i is the number of input quantities; j is the number of neurons in each hidden layer ; e i is the residual; w k is the weight of the kth neuron of the first hidden layer; b k is the bias of the kth neuron of the first hidden layer;
Figure BDA0003683670290000065
is the kth preset parameter input into the neural network in advance, which is composed of weight and bias, and is obtained by training the neural network in advance; a k is the activation function, and the hyperbolic tangent function is used in the research, that is, a k =( e 2x -1)/(e 2x +1).

输入到下一个隐藏层,如此循环,直到被传递到输出层输出。所述的基础神经网络拓扑结构优化过程可表述如下:The input is passed to the next hidden layer, and so on, until it is passed to the output layer for output. The described basic neural network topology optimization process can be expressed as follows:

Figure BDA0003683670290000066
Figure BDA0003683670290000066

S2对学习参数添加惩罚项:S2 adds a penalty term to the learning parameters:

用最小二乘误差函数作为损失函数来训练网络参数,所述的损失函数可表述如下:Use the least squares error function as the loss function to train the network parameters, and the loss function can be expressed as follows:

Figure BDA0003683670290000071
Figure BDA0003683670290000071

神经网络参数训练过程就是使输入值xij通过该损失函数最小化的过程。通过对该损失函数使用L1范数惩罚来预先获得其参数的一个相对稀疏的结构,完成神经网络的轻质化构建。所述的该过程可表述如下:The neural network parameter training process is the process of minimizing the input value x ij through the loss function. By using the L 1 norm penalty on the loss function to obtain a relatively sparse structure of its parameters in advance, the lightweight construction of the neural network is completed. The process described can be expressed as follows:

Figure BDA0003683670290000072
Figure BDA0003683670290000072

其中,λk,j和λk都是确定

Figure BDA0003683670290000073
wk、bk稀疏程度的拉格朗日乘数因子,βj [k]为超参数,是训练过程中得到的一系列调节值。Among them, λ k, j and λ k are determined
Figure BDA0003683670290000073
The Lagrangian multiplier factor of the degree of sparsity of w k and b k , β j [k] is a hyperparameter, which is a series of adjustment values obtained during the training process.

S3采用新型拟牛顿法训练该神经网络:S3 uses a new quasi-Newton method to train the neural network:

若令

Figure BDA0003683670290000074
则施加L1范数惩罚后的轻质神经网络的学习过程可表述为:Ruoling
Figure BDA0003683670290000074
Then the learning process of the lightweight neural network after applying the L1 norm penalty can be expressed as:

Figure BDA0003683670290000075
Figure BDA0003683670290000075

在本专利中,对于对

Figure BDA0003683670290000076
的最小化过程,选择使用
Figure BDA0003683670290000077
的次梯度方向作为最陡下降方向,
Figure BDA0003683670290000078
对于ψr各分量的次梯度可表述为:In this patent, for
Figure BDA0003683670290000076
The minimization process, choose to use
Figure BDA0003683670290000077
The subgradient direction of is taken as the steepest descending direction,
Figure BDA0003683670290000078
The subgradient of each component of ψ r can be expressed as:

Figure BDA0003683670290000079
Figure BDA0003683670290000079

其中:

Figure BDA00036836702900000710
in:
Figure BDA00036836702900000710

在得到

Figure BDA00036836702900000711
对于各参数的次梯度后,对
Figure BDA00036836702900000712
采用所述的基于次梯度的新型拟牛顿算法进行处理。先利用泰勒展开式得到
Figure BDA00036836702900000713
在ψ[τ]处的逼近形式:in getting
Figure BDA00036836702900000711
After the subgradient for each parameter, for
Figure BDA00036836702900000712
The described novel quasi-Newton algorithm based on the subgradient is used for processing. First use the Taylor expansion to get
Figure BDA00036836702900000713
Approximation form at ψ[τ]:

Figure BDA00036836702900000714
Figure BDA00036836702900000714

其中,

Figure BDA00036836702900000715
为海塞尔矩阵。in,
Figure BDA00036836702900000715
is a Hessel matrix.

在最小化该逼近形式的过程中,基于次梯度的搜索方向可表述为:In minimizing this approximation, the subgradient-based search direction can be expressed as:

Figure BDA00036836702900000716
Figure BDA00036836702900000716

整个迭代形式可表述为:The entire iterative form can be expressed as:

ψ[τ]+ηh[τ]→ψ[τ+1]ψ[τ]+ηh[τ]→ψ[τ+1]

其中:η是由线搜索得到的前进值。Where: η is the forward value obtained by the line search.

而后用近似矩阵

Figure BDA0003683670290000081
来代替海塞尔矩阵
Figure BDA0003683670290000082
从而避免复杂计算,即迭代形式可表述为:Then use the approximation matrix
Figure BDA0003683670290000081
to replace the Hessel matrix
Figure BDA0003683670290000082
In order to avoid complex calculations, the iterative form can be expressed as:

Figure BDA0003683670290000083
Figure BDA0003683670290000083

Figure BDA0003683670290000084
的逆矩阵
Figure BDA0003683670290000085
按如下表述进行构造:
Figure BDA0003683670290000084
the inverse matrix of
Figure BDA0003683670290000085
Construct as follows:

Figure BDA0003683670290000086
Figure BDA0003683670290000086

其中,

Figure BDA0003683670290000087
ζ[τ]=ψ[τ+1]-ψ[τ];
Figure BDA0003683670290000088
为单位矩阵。in,
Figure BDA0003683670290000087
ζ[τ]=ψ[τ+1]-ψ[τ];
Figure BDA0003683670290000088
is the identity matrix.

S4采用内外联合监测法监测路基位移:S4 adopts internal and external joint monitoring method to monitor subgrade displacement:

采用北斗监测系统和基于导电聚合物的土体变形监测系统实现内外联合监测法进行路基位移的实时监测。The Beidou monitoring system and the soil deformation monitoring system based on conductive polymers are used to realize the real-time monitoring of subgrade displacement by the internal and external joint monitoring method.

北斗监测系统由北斗接收天线、固定电源或太阳能电池板、接收机、无线传输模块等组成。接收机、无线传输模块等均放置于一个设备保护箱中,该设备保护箱可通过固定支架或者膨胀螺栓固定于北斗接收天线附近,从而达到保护设备的目的。The Beidou monitoring system is composed of Beidou receiving antenna, fixed power supply or solar panel, receiver, wireless transmission module, etc. The receiver, wireless transmission module, etc. are all placed in an equipment protection box, which can be fixed near the Beidou receiving antenna by fixing brackets or expansion bolts, so as to achieve the purpose of protecting the equipment.

北斗接收天线通过连接支座与规定部位基准点相连接,基准点分别设置在测试断面新路基坡脚处、路肩处以及新旧路基结合部顶部。The Beidou receiving antenna is connected to the reference point of the specified position through the connecting support. The reference point is set at the toe of the new subgrade slope, the shoulder of the road and the top of the junction of the old and new subgrade in the test section.

实时监测是利用北斗二代三颗卫星进行精确定位,采用相对定位方法,通过全球卫星系统基线解算来得到待测点和基准点的相对位置关系。Real-time monitoring uses three satellites of the second generation of Beidou for precise positioning, and uses the relative positioning method to obtain the relative position relationship between the point to be measured and the reference point through the baseline solution of the global satellite system.

其中,相对定位方法是利用两台以上接收机同时进行测量,通过差分运算消去两台接收机信号具有的公共误差,从而得到两台接收机之间较高精度的相对坐标。Among them, the relative positioning method is to use more than two receivers to measure at the same time, and to eliminate the common error of the signals of the two receivers through differential calculations, so as to obtain relatively high-precision relative coordinates between the two receivers.

采用基于导电聚合物的土体变形监测系统及方法(CN201310312664.7),在拓宽路基修筑时将机敏导电聚合物埋入路基内部,进行全断面的水平位移观测。基于导电聚合物的土体变形监测系统采用机敏导电聚合物作为土体内部监测元件。将带状导电聚合物上不同测点处连接线缆,众多测点的线缆从带子末端伸出,然后将带子包装绝缘防护套实现防水防磨损防静电,进而制备成智能机敏土工带。The soil deformation monitoring system and method based on conductive polymer (CN201310312664.7) is used to embed a smart conductive polymer into the interior of the roadbed when widening the roadbed to observe the horizontal displacement of the whole section. The soil deformation monitoring system based on conductive polymers uses smart conductive polymers as soil internal monitoring components. Connect cables at different measuring points on the strip-shaped conductive polymer, and the cables of many measuring points protrude from the end of the tape, and then pack the tape with an insulating protective sleeve to achieve waterproof, wear-resistant and anti-static, and then prepare an intelligent smart geotextile.

其中,智能机敏土工带水平埋入路基内部,其末端从路基边坡的坡面处露出,连接有线缆与数据采集站相连接,采集站通过网络上传到云端服务器。Among them, the intelligent smart geotechnical belt is buried horizontally inside the roadbed, and its end is exposed from the slope of the roadbed side slope. It is connected with a cable to the data collection station, and the collection station is uploaded to the cloud server through the network.

实时监测是通过筋材变形分布式自检技术实现全寿命周期内的土体内部变形检测,持久有效定位土体内部潜在裂缝滑裂面,诊断土体内部变形状态,再借助云端服务器实现监测数据的自动化采集监测,为实现土体安全预警提供合理技术手段。Real-time monitoring is to realize the internal deformation detection of the soil during the whole life cycle through the distributed self-inspection technology of the reinforcement deformation, and to locate the potential cracks and slip surfaces in the soil for a long time, diagnose the internal deformation state of the soil, and then realize the monitoring data with the help of the cloud server The automatic collection and monitoring provides reasonable technical means for the realization of soil safety early warning.

S5实测数据集预处理:S5 measured data set preprocessing:

将路基的沉降观测值分别表示为

Figure BDA0003683670290000091
Si
Figure BDA0003683670290000092
机敏土工带的应变值分别记为
Figure BDA0003683670290000093
则有:The settlement observations of the subgrade are expressed as
Figure BDA0003683670290000091
S i ,
Figure BDA0003683670290000092
The strain values of the smart geotechnical belt are recorded as
Figure BDA0003683670290000093
Then there are:

Figure BDA0003683670290000094
Figure BDA0003683670290000094

Figure BDA0003683670290000095
Figure BDA0003683670290000095

Figure BDA0003683670290000096
Figure BDA0003683670290000096

Figure BDA0003683670290000097
Figure BDA0003683670290000097

Figure BDA0003683670290000098
Figure BDA0003683670290000098

Figure BDA0003683670290000099
Figure BDA0003683670290000099

其中:上标“1”表示第一个监测断面;

Figure BDA00036836702900000910
表示时间量,其它标记含义如上文所示。则训练轻质神经网络所使用的数据集如下所示:Among them: the superscript "1" indicates the first monitoring section;
Figure BDA00036836702900000910
Indicates the amount of time, and the meanings of other symbols are as shown above. Then the data set used to train the lightweight neural network is as follows:

Figure BDA00036836702900000911
Figure BDA00036836702900000911

其中:

Figure BDA00036836702900000912
in:
Figure BDA00036836702900000912

Si=(S1,S2,...,S180)T S i =(S 1 ,S 2 ,...,S 180 ) T

为了提高轻质神经网络的泛化能力,需要对训练数据集进行归一化处理,所述归一化处理是将训练数据集中的每列向量按如如下方法进行处理:In order to improve the generalization ability of the lightweight neural network, the training data set needs to be normalized, and the normalization process is to process each column vector in the training data set as follows:

Figure BDA00036836702900000913
Figure BDA00036836702900000913

其中:Z表示归一化后的数据;X表示每列向量中的元素;Xmin、Xmax分别表示每列向量中的最小元素和最大元素。Among them: Z represents the normalized data; X represents the elements in each column of vectors; X min and X max represent the minimum and maximum elements in each column of vectors, respectively.

采用所述的归一化方法对训练数据集进行处理,可以将训练数据集映射到[0,1]的范围内,从而增强轻质神经网络的泛化能力。Using the normalization method to process the training data set can map the training data set to the range of [0,1], thereby enhancing the generalization ability of the lightweight neural network.

S6训练轻质神经网络:S6 trains a lightweight neural network:

将训练数据集分成验证集和训练集两部分,随机抽取10%数据作为验证集,其余的部分作为训练集使用。同时为了定量衡量轻质神经网络和普通前馈神经网络预测能力,除了直观的比较预测值与实际观测值外,还采用均方根误差值RMSE这一指标来对预测结果进行分析。RMSE的计算方法如下所示:The training data set is divided into two parts, the verification set and the training set, and 10% of the data is randomly selected as the verification set, and the rest is used as the training set. At the same time, in order to quantitatively measure the prediction ability of lightweight neural network and ordinary feedforward neural network, in addition to visually comparing the predicted value with the actual observation value, the root mean square error value RMSE is also used to analyze the prediction results. RMSE is calculated as follows:

Figure BDA0003683670290000101
Figure BDA0003683670290000101

其中:

Figure BDA0003683670290000102
表示预测值;Si表示相应的实际观测值。in:
Figure BDA0003683670290000102
Indicates the predicted value; S i indicates the corresponding actual observed value.

对于神经网络而言当其预测值与观测值完全吻合,即预测准确率为100%时,所对应的RMSE值为0。换而言之,即神经网络的预测能力越强,准确率越高,RMSE的值越低,反之则越高。For the neural network, when the predicted value is completely consistent with the observed value, that is, when the prediction accuracy rate is 100%, the corresponding RMSE value is 0. In other words, the stronger the predictive ability of the neural network, the higher the accuracy and the lower the RMSE value, and vice versa.

实施例1:水平填筑拓宽路基沉降监测预测Example 1: Monitoring and Prediction of Subgrade Subgrade Widening by Horizontal Filling

依托山东省某高速公路改扩建工程,现场基本为黄河平原冲积粉土,工程性质差,地下水位较高,存在软弱层。经过20年的服役运营,老路基整体变形情况基本稳定。该路段内老路基高度为6m,顶面右半幅宽度为14m,拓宽宽度为7m,坡比为1:1.75。采用传统的水平分层填筑,新建路基先填筑部分宽度5m,高度为2m。采用本专利所述的一种公路路基沉降监测预测方法进行水平填筑拓宽路基沉降监测预测。Relying on a highway reconstruction and expansion project in Shandong Province, the site is basically alluvial silt in the Yellow River Plain, with poor engineering properties, high groundwater level, and weak layers. After 20 years of service and operation, the overall deformation of the old subgrade is basically stable. The height of the old subgrade in this road section is 6m, the width of the right half of the top surface is 14m, the widening width is 7m, and the slope ratio is 1:1.75. The traditional horizontal layered filling is adopted, and the new subgrade is first filled with a width of 5m and a height of 2m. A roadbed subsidence monitoring and prediction method described in this patent is used to monitor and predict the subsidence of the horizontal filling and widening roadbed.

图3为水平填筑拓宽路基沉降实测值与预测值对比,可以看到轻质神经网络预测值与实际值的差距最小时为0.00721mm,最大时为0.42719mm。而从预测准确率上看轻质神经网络在工作过程中的最低准确率为88.67%,最高准确率为99.87%,平均准确率为96.16%,这表明轻质神经网络对水平填筑拓宽路基的沉降进行预测可以保持一个较高的精度。Figure 3 shows the comparison between the measured value and the predicted value of the subgrade settlement for horizontal filling and widening. It can be seen that the difference between the predicted value of the lightweight neural network and the actual value is 0.00721mm at the minimum and 0.42719mm at the maximum. From the perspective of prediction accuracy, the minimum accuracy rate of lightweight neural network in the working process is 88.67%, the highest accuracy rate is 99.87%, and the average accuracy rate is 96.16%. Prediction of settlement can maintain a high accuracy.

在相同计算环境下以普通BP神经网络做对照,测试轻质神经网络和普通前馈神经网络的计算效率。令每种神经网络从同一个较大的RMSE附近开始,经过初步训练到一个较小的RMSE值附近,记录各自所需要的时间如图4中所示。统一计算两种神经网络下降到35时所用时间。对于BP神经网络,RMSE值下降到一个较低水平所用的时间更长,是轻质神经网络的18.78倍,由此可见轻质神经网络可以大幅度地提高训练效率。In the same computing environment, the ordinary BP neural network is used as a comparison to test the computational efficiency of the lightweight neural network and the ordinary feedforward neural network. Let each kind of neural network start from near the same larger RMSE, and after preliminary training to near a smaller RMSE value, record the time required for each as shown in Figure 4. Unified calculation of the time taken by the two neural networks to drop to 35. For the BP neural network, it takes longer for the RMSE value to drop to a lower level, which is 18.78 times that of the lightweight neural network. It can be seen that the lightweight neural network can greatly improve the training efficiency.

实施例2:分部填筑拓宽路基沉降监测预测Example 2: Monitoring and Prediction of Subgrade Subgrade Settlement Widening

依托山东省某高速公路改扩建工程,现场基本为黄河平原冲积粉土,工程性质差,地下水位较高,存在软弱层。经过20年的服役运营,老路基整体变形情况基本稳定。该路段内老路基高度为6m,顶面右半幅宽度为14m,拓宽宽度为7m,坡比为1:1.75。选取该路段20m长的试验段采用分部填筑拓宽路基,新建路基先填筑部分宽度5m,高度为2m。采用本专利所述的一种公路路基沉降监测预测方法进行分部填筑拓宽路基沉降监测预测。Relying on a highway reconstruction and expansion project in Shandong Province, the site is basically alluvial silt in the Yellow River Plain, with poor engineering properties, high groundwater level, and weak layers. After 20 years of service and operation, the overall deformation of the old subgrade is basically stable. The height of the old subgrade in this road section is 6m, the width of the right half of the top surface is 14m, the widening width is 7m, and the slope ratio is 1:1.75. The 20m-long test section of the road section is selected to widen the subgrade by partial filling, and the new subgrade is first filled with a width of 5m and a height of 2m. A roadbed subsidence monitoring and prediction method described in this patent is used to monitor and predict the subsidence of subgrade filling and widening roadbed.

图5为分部填筑拓宽路基沉降实测值与预测值对比,可以看到轻质神经网络预测值与实际值的差距最小时为0.00012mm,最大时为0.38246mm。而从预测准确率上看,轻质神经网络在工作过程中的最低准确率为89.00%,最高准确率为99.99%,平均准确率为96.51%,这表明轻质神经网络对分部填筑拓宽路基的沉降进行预测可以保持一个较高的精度。Figure 5 shows the comparison between the measured value and the predicted value of the subgrade settlement for subgrade filling and widening. It can be seen that the difference between the predicted value of the lightweight neural network and the actual value is 0.00012mm at the minimum and 0.38246mm at the maximum. From the perspective of prediction accuracy, the minimum accuracy rate of the lightweight neural network in the working process is 89.00%, the highest accuracy rate is 99.99%, and the average accuracy rate is 96.51%, which shows that the lightweight neural network has a widening effect on partial filling. The subgrade settlement can be predicted with a high precision.

在相同计算环境下以普通BP神经网络做对照,测试轻质神经网络和普通前馈神经网络的计算效率。令每种神经网络从同一个较大的RMSE附近开始,经过初步训练到一个较小的RMSE值附近,记录各自所需要的时间如图6中所示。统一计算两种神经网络下降到35时所用时间。对于BP神经网络,RMSE值下降到一个较低水平所用的时间更长,是轻质神经网络的20.16倍,由此可见轻质神经网络可以大幅度地提高训练效率。In the same computing environment, the ordinary BP neural network is used as a comparison to test the computational efficiency of the lightweight neural network and the ordinary feedforward neural network. Let each kind of neural network start from near the same larger RMSE, and after initial training to near a smaller RMSE value, record the time required for each as shown in Figure 6. Unified calculation of the time taken by the two neural networks to drop to 35. For the BP neural network, it takes longer for the RMSE value to drop to a lower level, which is 20.16 times that of the lightweight neural network. It can be seen that the lightweight neural network can greatly improve the training efficiency.

显然,本领域的技术人员可以对本发明进行各种改动和变型而不脱离本发明的精神和范围。这样,倘若本发明的这些修改和变型属于本发明权利要求及其等同技术的范围之内,则本发明也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalent technologies, the present invention also intends to include these modifications and variations.

Claims (10)

1. A highway subgrade settlement monitoring and predicting method is characterized in that a light neural network model for subgrade settlement prediction is established by optimizing a topological structure of a basic feedforward neural network in form and adding punishment items to learning parameters of the basic neural network in algorithm, training of the neural network is completed by adopting a novel quasi-Newton method, subgrade displacement monitoring is performed by adopting an internal and external combined monitoring method after the light neural network is designed, and data set preprocessing is performed on obtained actual measurement data to complete a training process of the light neural network and use the training process for highway subgrade settlement monitoring and prediction.
2. The method for monitoring and predicting the subgrade settlement of the highway according to claim 1, wherein the basic feedforward neural network is a 3-layer feedforward neural network comprising 1 input layer, 1 hidden layer and 1 output layer, wherein the hidden layer comprises j neurons; for this basic feedforward neural network, input quantity I n The data can enter a neural network from an input layer and then enter a hidden layer; in the middle hidden layer, there are j number of neurons, which are finally output through the output layer.
3. The method for monitoring and predicting the subgrade settlement of the highway according to claim 1, wherein the topological structure for formally optimizing the basic neural network is based on the basic feedforward neural network to construct a complex neural network with more hidden layers.
4. The method for monitoring and predicting the subgrade settlement of the highway according to claim 1, wherein the penalty term is algorithmically added to the learning parameters of the basic neural network by training network model parameters by using a least square error function as a loss function; by using L for the loss function 1 And (4) punishing the norm to obtain a relatively sparse structure of the parameters in advance, so as to complete the lightweight construction of the neural network.
5. The method for monitoring and predicting the settlement of the roadbed of claim 1, wherein the novel quasi-Newton method is a novel quasi-Newton method for constructing the search direction and the search step size on the basis of a sub-gradient method and an active set method.
6. The method for monitoring and predicting the settlement of the road subgrade as claimed in claim 1, wherein the inside and outside combined monitoring method is to set reference points at specified positions on the side slope outside the monitored section, and use a Beidou monitoring system to perform periodic observation of the vertical displacement of the surface of the subgrade, and simultaneously use a soil deformation monitoring system and method based on the conductive polymer to embed the smart conductive polymer into the subgrade during widening the subgrade construction to perform horizontal displacement observation of the whole section.
7. The inside and outside combined monitoring method according to claim 6, wherein the big dipper monitoring system is positioned by three second generation big dipper satellites, the vertical displacement of the roadbed section surface is monitored by a global satellite system by adopting a relative positioning method, and the horizontal displacement in the roadbed is monitored by the soil deformation monitoring system based on the conductive polymer through an intelligent smart geotechnical belt.
8. The inside-outside combination monitoring method according to claim 6, wherein the soil deformation monitoring system based on conductive polymers adopts smart conductive polymers as soil interior monitoring elements; connecting cables at different measuring points on the banded smart conductive polymer, extending the cables at a plurality of measuring points out of the tail end of the band, and then packaging the band with an insulating protective sleeve to prepare an intelligent smart geoband; inside intelligent smart geotechnical zone level buried the road bed, its terminal domatic department from the road bed side slope exposes, is connected with the cable and is connected with the data acquisition station, and the high in the clouds server is passed to through the network in the acquisition station, realizes the automatic collection monitoring of monitoring data with the help of the high in the clouds server.
9. The method for monitoring and predicting the subgrade settlement of the highway according to claim 1, wherein the preprocessing of the data set is to process a training data set by a normalization method, and map the training data set into the range of [0,1] so as to enhance the generalization capability of the lightweight neural network.
10. The method for monitoring and predicting the settlement of the road subgrade as claimed in claim 1, wherein the training process of the light neural network is to divide a training data set into a validation set and a training set, randomly extract limited data as the validation set, and use the rest as the training set.
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