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CN114881200A - A method for predicting the acceleration of car-following vehicles in foggy environment based on transfer learning and LSTM-NN - Google Patents

A method for predicting the acceleration of car-following vehicles in foggy environment based on transfer learning and LSTM-NN Download PDF

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CN114881200A
CN114881200A CN202210367267.9A CN202210367267A CN114881200A CN 114881200 A CN114881200 A CN 114881200A CN 202210367267 A CN202210367267 A CN 202210367267A CN 114881200 A CN114881200 A CN 114881200A
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李振龙
刘钦
张子号
潘梦妞
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Abstract

A following vehicle acceleration prediction method in a foggy environment based on transfer learning and LSTM-NN comprises source domain sample selection and LSTM model training. Selecting source domain samples, including screening basis and quantity selection; the screening basis is that the similarity between the obtained source domain sample and the target domain sample is solved through an improved LCSS algorithm, and the follow-up behavior of a driver is considered to be greatly dependent on the speed difference delta v between a front vehicle and a rear vehicle, the distance h between the front vehicle and the rear vehicle and the acceleration a of the vehicle, so that gamma is selected as a description characteristic for measuring the two samples; the quantity selection is to select different quantities of source domain samples to train the LSTM model according to the similarity of the source domain samples, and select the proper quantity through model performance comparison. The migration sample screening mechanism adopted by the invention can effectively reduce negative migration, so that a following model with more ideal performance is obtained by using fewer following samples in a foggy environment.

Description

一种基于迁移学习与LSTM-NN的雾天环境下跟驰车辆加速度 预测方法A prediction method for the acceleration of car following vehicles in foggy environment based on transfer learning and LSTM-NN

技术领域technical field

本发明涉及一种雾天条件下跟驰车辆加速度预测方法,利用样本之间相似度的计算方法,选择合适的迁移样本,实现通过样本迁移来提升LSTM跟驰模型在不良天气条件下的性能,属于智能交通领域。The invention relates to a method for predicting the acceleration of a car-following vehicle under foggy conditions. The method for calculating the similarity between samples is used to select suitable migration samples, so as to realize the improvement of the performance of the LSTM car-following model under adverse weather conditions through sample migration. It belongs to the field of intelligent transportation.

背景技术Background technique

雾天环境下能见度低,使得驾驶员视距缩短,易产生紧张心理与疲劳感,难以对前车速度的变化做出及时反应,导致雾天环境下交通效率降低、交通事故率升高。跟驰模型对理解和刻画雾天环境下交通流的特征,进而提高雾天下的交通安全有着重要意义。The low visibility in the foggy environment shortens the driver's line of sight, and is prone to nervousness and fatigue. Car-following model is of great significance for understanding and describing the characteristics of traffic flow in foggy environment, and then improving traffic safety in foggy weather.

从建模方法的角度划分,跟驰模型可分为理论驱动与数据驱动两类。目前的研究中,不良天气下的跟驰模型大多属于理论驱动类。理论驱动类模型的优势是能够将跟驰过程直观的用某几个变量描述出来,其劣势是难以准确刻画驾驶人的驾驶经验和模糊感知特性。随着人工智能、深度学习的发展,以数据驱动的建模方法受到研究者的广泛关注。其中,人工神经网络方法通过对数据样本进行训练,被证明能更好的描述不同特征驾驶员的跟驰行为。长短时记忆神经网络其独特的记忆能力在跟驰行为建模中表现出了良好的性能,但其前提是需要大量的训练样本,这对于正常天气情况下是容易实现的。然而,由于雾发生的不确定性和少数,雾天环境下跟驰样本的获取相对困难。雾天环境下样本量小,会导致LSTM模型的性能变差。From the perspective of modeling methods, car following models can be divided into two categories: theory-driven and data-driven. In the current research, most car-following models in bad weather belong to the theory-driven category. The advantage of the theory-driven model is that it can intuitively describe the car-following process with certain variables, but its disadvantage is that it is difficult to accurately describe the driver's driving experience and fuzzy perception characteristics. With the development of artificial intelligence and deep learning, data-driven modeling methods have received extensive attention from researchers. Among them, the artificial neural network method has been proved to be able to better describe the car following behavior of drivers with different characteristics by training data samples. The unique memory ability of long-short-term memory neural network has shown good performance in the modeling of car-following behavior, but the premise is that a large number of training samples are required, which is easy to achieve under normal weather conditions. However, due to the uncertainty and few occurrences of fog, it is relatively difficult to obtain car-following samples in a foggy environment. The small sample size in the foggy environment will lead to poor performance of the LSTM model.

鉴于此,本发明采用样本迁移来增加训练样本数,利用正常天气下的跟驰数据辅助LSTM神经网络学习雾天环境下的跟驰行为,进而提升LSTM雾天跟驰模型的性能。In view of this, the present invention adopts sample migration to increase the number of training samples, and uses the car-following data in normal weather to assist the LSTM neural network to learn the car-following behavior in the foggy environment, thereby improving the performance of the LSTM fog-following model.

发明内容SUMMARY OF THE INVENTION

本发明提出了一种基于迁移学习与LSTM-NN的雾天环境下跟驰车辆加速度预测方法,旨在解决雾天环境下跟驰样本的获取相对困难的问题。一种基于迁移学习与LSTM-NN的雾天条件下跟驰车辆加速度预测方法的流程图如图1所示。The invention proposes a method for predicting the acceleration of a car-following vehicle in a foggy environment based on migration learning and LSTM-NN, and aims to solve the problem that it is relatively difficult to obtain a car-following sample in the foggy environment. A flow chart of a method for predicting the acceleration of a car-following vehicle under foggy conditions based on transfer learning and LSTM-NN is shown in Figure 1.

该方法由源域样本选择和LSTM模型的训练两部分组成。源域样本选择包括筛选依据和数量选择;所述筛选依据是通过改进的LCSS算法求解所得到的源域样本与目标域样本之间的相似度,并考虑到驾驶员的跟驰行为在很大程度上取决于前车与后车车速差Δv、车头间距h以及本车加速度a,因此选取γ(式1)作为衡量两个样本的描述特征,其中θ为调整系数;所述数量选择是根据源域样本的相似度,选择不同数量的源域样本对LSTM模型进行训练,通过模型性能对比以选择合适的数量。LSTM模型的训练包括损失函数、优化器与迭代终止条件;所述损失函数选取均方误差;所述优化器选取Adam算法;所述迭代终止条件为最大训练次数为1000次,模型收敛趋势取目标值0.0001。The method consists of two parts, source domain sample selection and LSTM model training. The source domain sample selection includes screening basis and quantity selection; the screening basis is the similarity between the source domain sample and the target domain sample obtained by solving the improved LCSS algorithm, and considering that the driver's car following behavior is very large. The degree depends on the speed difference Δv between the front and rear vehicles, the head distance h and the acceleration a of the vehicle, so γ (Equation 1) is selected as the descriptive feature to measure the two samples, where θ is the adjustment coefficient; the number selection is based on The similarity of the source domain samples, select different numbers of source domain samples to train the LSTM model, and select the appropriate number by comparing the model performance. The training of the LSTM model includes a loss function, an optimizer and an iterative termination condition; the loss function selects the mean square error; the optimizer selects the Adam algorithm; the iteration termination condition is that the maximum number of training times is 1000, and the model convergence trend is the target The value is 0.0001.

Figure BDA0003587645620000021
Figure BDA0003587645620000021

一种基于迁移学习与LSTM-NN的雾天环境下跟驰车辆加速度预测方法,该方法的实现步骤包括如下:A method for predicting the acceleration of a car-following vehicle in a foggy environment based on transfer learning and LSTM-NN. The implementation steps of the method include the following:

步骤一,收集正常天气(源域)与雾天环境(目标域)下的跟驰样本;Step 1, collect car-following samples under normal weather (source domain) and foggy environment (target domain);

步骤二,首先确定衡量两个样本的描述特征γ,将源域与目标域样本的多维时间序列转化为一维时间序列。描述特征γ按照式1计算:其中Δv为样本前车与后车车速差,h为车头间距,a为本车加速度,θ为调整系数(取0.5);Step 2: First, determine the descriptive feature γ that measures the two samples, and convert the multi-dimensional time series of the samples in the source domain and the target domain into a one-dimensional time series. Descriptive feature γ is calculated according to formula 1: where Δv is the speed difference between the vehicle in front and the rear of the sample, h is the distance between the fronts of the vehicle, a is the acceleration of the vehicle, and θ is the adjustment coefficient (take 0.5);

步骤三,计算出源域与目标域样本的相似度。步骤三所述的相似度按照以下方法确定:首先,从源域与目标域中各选一个样本,将目标域样本的描述特征的每个元素在长为δ=4和宽为ε的矩形范围搜索源域样本中的公共元素,计算得到目标域样本与源域样本的最长公共子序列,将之除以最大序列长度得到相似度S;然后,根据上述过程计算源域的样本{x1,x2,...,xn}中每个样本xi与目标域的样本{y1,y2,...,ym}相似度Si=max{s1,s2,...,sm},最终得到所有源域样本的相似度S={S1,S2,...,Sn};Step 3: Calculate the similarity between the source domain and the target domain samples. The similarity described in step 3 is determined according to the following method: first, one sample is selected from the source domain and the target domain, and each element of the description feature of the target domain sample is placed in a rectangular range with a length of δ=4 and a width of ε. Search the common elements in the source domain samples, calculate the longest common subsequence between the target domain samples and the source domain samples, divide it by the maximum sequence length to obtain the similarity S; then, calculate the source domain samples {x 1 according to the above process ,x 2 ,...,x n } each sample x i and the sample {y 1 ,y 2 ,...,y m } in the target domain are similar to S i =max{s 1 ,s 2 ,. ..,s m }, and finally obtain the similarity S={S 1 ,S 2 ,...,S n } of all source domain samples;

ε=0.6×σ (2)ε=0.6×σ(2)

其中:σ为所选两样本描述特征γ的标准差的极小值。Among them: σ is the minimum value of the standard deviation of the description feature γ of the selected two samples.

步骤四,根据计算得到的相似度用不同数量的源域样本与目标域样本形成不同的实验组对LSTM进行协同训练,得到不同的雾天下跟驰车辆加速度预测模型。不同实验组的样本按照以下方法确定:首先将迁移样本根据相似度Si的值从大到小排列,然后迁移样本数量从0个开始并按照步长B(取50)递增,直到样本数n为止,构成

Figure BDA0003587645620000022
个试验组;Step 4: According to the calculated similarity, different numbers of source domain samples and target domain samples are used to form different experimental groups to train the LSTM together to obtain different acceleration prediction models of car following vehicles under fog. The samples of different experimental groups are determined according to the following methods: first, the migration samples are arranged in descending order according to the value of similarity Si, then the number of migration samples starts from 0 and increases according to the step size B (take 50), until the number of samples n so far, constitute
Figure BDA0003587645620000022
a test group;

步骤五,通过比较不同实验组得到的模型性能指标(MSE、RMSE、MAE),取性能最优的模型作为雾天环境下跟驰车辆加速度预测模型。Step 5: By comparing the model performance indicators (MSE, RMSE, MAE) obtained by different experimental groups, the model with the best performance is selected as the acceleration prediction model of the car-following vehicle in the foggy environment.

与现有技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:

(1)与基于理论驱动的跟驰模型相比,本发明采用数据驱动的建模方式,通过训练LSTM模型,使其能更好的描述不同特征驾驶员的跟驰行为。(1) Compared with the car-following model driven by theory, the present invention adopts a data-driven modeling method, and can better describe the car-following behavior of drivers with different characteristics by training the LSTM model.

(2)本发明采用的迁移样本筛选机制能够有效减少负迁移,提高跟驰模型的性能。(2) The migration sample screening mechanism adopted in the present invention can effectively reduce the negative migration and improve the performance of the car following model.

(3)对于实际应用,可以利用较少的雾天条件下跟驰样本,获得性能更理想的跟驰模型。(3) For practical applications, a car-following model with more ideal performance can be obtained by using fewer car-following samples under foggy conditions.

附图说明Description of drawings

图1为雾天条件下跟驰车辆加速度预测方法的流程图;Fig. 1 is the flow chart of the acceleration prediction method of the following vehicle under foggy conditions;

图2为迁移学习-LSTM雾天跟驰模型结构图。Figure 2 shows the structure of the transfer learning-LSTM fog-following model.

具体实施方式Detailed ways

下面结合附图和具体实施方式对本发明作进一步的说明。The present invention will be further described below with reference to the accompanying drawings and specific embodiments.

LSTM神经网络包含一个输入层、几个隐藏层和一个输出层,本文将跟驰车辆当前时刻的速度vf(t),加速度af(t),车头间距Δxf(t),前车速度vp(t)作为输入变量,将跟驰车辆下一时刻的加速度作为输出变量。LSTM神经网络模型采取的时间长为3s,且采集的驾驶行为数据的频率为30Hz,每个时间步长的输入矩阵长度为4×90。确定隐含层为两层,神经元个数依次为40,50,且为防止模型出现过度拟合现象,在隐含层设置Dropout,使该层神经元中的某个神经元以一定的概率(0.2)暂时停止工作。迁移学习-LSTM雾天跟驰模型结构如图2所示。The LSTM neural network consists of an input layer, several hidden layers and an output layer. In this paper, the current speed v f (t) of the following vehicle, the acceleration a f (t), the head distance Δx f (t), the speed of the preceding vehicle v p (t) is used as the input variable, and the acceleration of the following vehicle at the next moment is used as the output variable. The time taken by the LSTM neural network model is 3s, the frequency of the collected driving behavior data is 30Hz, and the input matrix length of each time step is 4×90. It is determined that the hidden layer is two layers, and the number of neurons is 40 and 50. In order to prevent the model from overfitting, Dropout is set in the hidden layer, so that a certain neuron in the layer of neurons can be used with a certain probability. (0.2) Temporarily stop working. The structure of the transfer learning-LSTM fog-following model is shown in Figure 2.

本发明所述的智能车辆路口停车方法流程如图1所示,具体包括以下几个步骤:The flowchart of the intelligent vehicle intersection parking method according to the present invention is shown in FIG. 1, and specifically includes the following steps:

步骤一,收集正常天气与雾天条件下的跟驰样本;Step 1, collect car-following samples under normal weather and foggy conditions;

步骤二,首先确定衡量两个样本的描述特征γ,将源域与目标域样本的多维时间序列转化为一维时间序列。描述特征γ按照式1计算:其中Δv为样本前车与后车车速差,h为车头间距,a为本车加速度,θ为调整系数,取0.5;Step 2: First, determine the descriptive feature γ that measures the two samples, and convert the multi-dimensional time series of the samples in the source domain and the target domain into a one-dimensional time series. Descriptive feature γ is calculated according to formula 1: where Δv is the speed difference between the vehicle in front and the rear of the sample, h is the distance between the fronts of the vehicle, a is the acceleration of the vehicle, and θ is the adjustment coefficient, which is taken as 0.5;

步骤三,计算出在正常天气与雾天环境下跟驰样本的相似度。步骤三所述的相似度按照以下方法确定:首先,从源域与目标域中各选一个样本,将目标域样本的描述特征的每个元素在长为δ=4和宽为ε的矩形范围搜索源域样本中的公共元素,计算得到目标域样本与源域样本的最长公共子序列,将之除以最大序列长度得到相似度S;然后,根据上述过程计算源域的样本{x1,x2,...,xn}中每个样本xi与目标域的样本{y1,y2,...,ym}相似度Si=max{s1,s2,...,sm},最终得到所有源域样本的相似度S={S1,S2,...,Sn};Step 3: Calculate the similarity of car-following samples under normal weather and foggy conditions. The similarity described in step 3 is determined according to the following method: first, one sample is selected from the source domain and the target domain, and each element of the description feature of the target domain sample is placed in a rectangular range with a length of δ=4 and a width of ε. Search the common elements in the source domain samples, calculate the longest common subsequence between the target domain samples and the source domain samples, divide it by the maximum sequence length to obtain the similarity S; then, calculate the source domain samples {x 1 according to the above process ,x 2 ,...,x n } each sample x i and the sample {y 1 ,y 2 ,...,y m } in the target domain are similar to S i =max{s 1 ,s 2 ,. ..,s m }, and finally obtain the similarity S={S 1 ,S 2 ,...,S n } of all source domain samples;

ε=0.6×σ (2)ε=0.6×σ(2)

其中:σ为所选两样本描述特征γ的标准差的极小值。Among them: σ is the minimum value of the standard deviation of the description feature γ of the selected two samples.

步骤四,根据计算得到的相似度用不同数量的源域样本与目标域样本形成不同的实验组对LSTM进行协同训练,得到不同的雾天环境下跟驰车辆加速度预测模型。不同实验组的样本按照以下方法确定:首先将迁移样本根据相似度Si的值从大到小排列,然后迁移样本数量从0个开始并按照步长50递增,直到样本数296为止,构成7个试验组;Step 4: According to the calculated similarity, different numbers of samples from the source domain and samples from the target domain are used to form different experimental groups to train the LSTM collaboratively, so as to obtain the acceleration prediction model of the car-following vehicle in different foggy environments. The samples of different experimental groups are determined according to the following method: first, the migration samples are arranged in descending order according to the value of similarity Si , and then the number of migration samples starts from 0 and increases according to the step size of 50, until the number of samples is 296, which constitutes 7 a test group;

步骤五,通过比较不同实验组得到的模型性能指标(MSE、RMSE、MAE),取性能最优的模型作为雾天环境下跟驰车辆加速度预测模型。Step 5: By comparing the model performance indicators (MSE, RMSE, MAE) obtained by different experimental groups, the model with the best performance is selected as the acceleration prediction model of the car-following vehicle in the foggy environment.

通过比较本发明所述的基于迁移学习与LSTM-NN的雾天条件下跟驰车辆加速度预测方法的效果,可以看出,由150个源域样本迁移到目标域训练得到的LSTM模型的精度最高,样本迁移提升了模型的性能。By comparing the effects of the method for predicting the acceleration of a car following vehicle under foggy conditions based on transfer learning and LSTM-NN, it can be seen that the LSTM model trained by migrating 150 source domain samples to the target domain has the highest accuracy , the sample transfer improves the performance of the model.

Claims (3)

1. A following vehicle acceleration prediction method based on transfer learning and LSTM-NN is characterized by comprising the following steps:
collecting follow-up samples in normal weather, namely a source domain and a foggy environment, namely a target domain;
determining description characteristics gamma for measuring two samples, and converting a multi-dimensional time sequence of the source domain samples and the target domain samples into a one-dimensional time sequence; the description characteristic gamma is calculated according to formula 1: wherein, Deltav is the speed difference between the front vehicle and the rear vehicle of the sample, h is the distance between the vehicle heads, a is the acceleration of the vehicle, and theta is an adjustment coefficient, and 0.5 is taken;
Figure FDA0003587645610000011
step three, calculating the similarity of the source domain and the target domain samples;
performing collaborative training on the LSTM by using different experimental groups formed by different numbers of source domain samples and target domain samples according to the calculated similarity to obtain different following vehicle acceleration prediction models in foggy days;
and step five, comparing the performance indexes of the models obtained by different experimental groups, and taking the model with the optimal performance as a following vehicle acceleration prediction model in the foggy weather environment.
2. The method for predicting the acceleration of the following vehicle based on the transfer learning and LSTM-NN as claimed in claim 1, wherein the similarity in the third step is determined according to the following method: firstly, selecting a sample from a source domain and a target domain, searching common elements in a source domain sample in a rectangular range with the length delta being 4 and the width being epsilon for each element of description characteristics of the target domain sample, calculating to obtain the longest common subsequence of the target domain sample and the source domain sample, and dividing the longest common subsequence by the length of the maximum sequence to obtain the similarity S; then, the source domain samples { x ] are computed according to the above process 1 ,x 2 ,...,x n Every sample x in i Samples with target Domain y 1 ,y 2 ,...,y m S similarity i =max{s 1 ,s 2 ,...,s m Get all the source domain samples finally(iii) similarity of S ═ S 1 ,S 2 ,...,S n };
ε=0.6×σ (2)
Wherein: σ is the minimum of the standard deviation of the two samples selected to describe the characteristic γ.
3. The method for predicting the acceleration of the following vehicle based on the transfer learning and LSTM-NN as claimed in claim 1, wherein the samples of the different experimental groups in step four are determined according to the following method: firstly, the migration samples are determined according to the similarity S i Is arranged from large to small, then the number of shifted samples is increased from 0 and by the step size B until the number of samples n
Figure FDA0003587645610000012
For each test group, 50 were taken for B.
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