CN114492569A - A Typhoon Track Classification Method Based on Width Learning System - Google Patents

A Typhoon Track Classification Method Based on Width Learning System Download PDF

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CN114492569A
CN114492569A CN202111565583.9A CN202111565583A CN114492569A CN 114492569 A CN114492569 A CN 114492569A CN 202111565583 A CN202111565583 A CN 202111565583A CN 114492569 A CN114492569 A CN 114492569A
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贺治国
朱业
马赫
卢美
季余
韩东睿
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Zhejiang University ZJU
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Abstract

The invention discloses a typhoon path classification method based on a width learning system. The invention specifically comprises the following steps: s1, performing cluster analysis on the typhoon path by using the existing typhoon path data through an improved DBSCAN algorithm, and establishing a category label matrix of the typhoon path; s2, performing feature representation on the typhoon paths by using an improved hierarchical clustering algorithm, and unifying dimensions of all the typhoon paths; and S3, constructing a typhoon path classification model based on the width learning system, taking the type label matrix for establishing the typhoon path established in S1 and the typhoon path feature matrix in S2 as input samples, and calculating a weight matrix from system input to output so as to realize the classification of the typhoon paths. The method of the invention adopts the width learning system to classify the typhoon paths, thereby realizing the automatic classification of the typhoon paths.

Description

一种基于宽度学习系统的台风路径分类方法A Typhoon Track Classification Method Based on Width Learning System

技术领域technical field

本发明属于台风路径分类技术领域,特别涉及一种基于宽度学习系统的台风路径分类方法。The invention belongs to the technical field of typhoon path classification, and particularly relates to a typhoon path classification method based on a width learning system.

背景技术Background technique

台风是全球最严重的自然灾害之一,因此研究台风活动的变化规律及其成因对台风预报及防灾减灾有极大的科学意义。Typhoon is one of the most serious natural disasters in the world. Therefore, it is of great scientific significance to study the variation law of typhoon activity and its causes for typhoon forecasting and disaster prevention and mitigation.

宽度学习系统(BLS)是一种基于随机向量函数链接神经网络的增量式学习算法,由于其训练过程无须反复迭代样本数据且通过岭回归求解伪逆的方式计算网络输出层权重矩阵,因此与普通神经网络相比更适合处理需要计算量较大的工作,如数据分类等。Breadth Learning System (BLS) is an incremental learning algorithm based on random vector function link neural network. Because its training process does not need to repeatedly iterate sample data and calculates the network output layer weight matrix by ridge regression to solve the pseudo-inverse, it is the same as Compared with ordinary neural networks, it is more suitable for processing tasks that require a large amount of computation, such as data classification.

宽度学习系统由特征映射层、增强节点层和输出层组成,其中特征映射层和增强向量层共同作为系统的输入。特征映射层通过特征映射函数随机生成权重实现对样本的特征提取。增强节点层通过正交规范化的随机权重对特征向量进行增强计算,引入激活函数函数增强模型的非线性分类能力,从而达到充分提取样本数据特征信息的目的。最后通过对特征映射层和增强节点层的合成矩阵进行伪逆运算,即可求出系统输入到输出的权重矩阵。当利用宽度学习系统解决分类问题时,将待分类的数据集和待分类数据集的标签集作为宽度学习系统的输入,训练宽度学习系统,宽度学习系统输出各数据分别属于各个类别的概率,概率最大所在的类别最即为该数据所被判别的类别。The breadth learning system consists of a feature map layer, an enhanced node layer and an output layer, where the feature map layer and the enhanced vector layer jointly serve as the input of the system. The feature mapping layer realizes the feature extraction of the samples by randomly generating weights through the feature mapping function. The enhancement node layer performs enhancement calculation on the feature vector through orthogonal normalized random weights, and introduces the activation function function to enhance the nonlinear classification ability of the model, so as to achieve the purpose of fully extracting the feature information of the sample data. Finally, by performing pseudo-inverse operation on the composite matrix of the feature map layer and the enhancement node layer, the weight matrix from the input to the output of the system can be obtained. When using the breadth learning system to solve the classification problem, the data set to be classified and the label set of the data set to be classified are used as the input of the breadth learning system, and the breadth learning system is trained, and the breadth learning system outputs the probability that each data belongs to each category. The largest category is the category in which the data is judged.

台风路径是台风在运动过程中,台风中心点经过的位置组成的时间序列,因台风运动受区域环境、气候等影响导致其运动路径复杂,因此对台风路径进行分类分析较难。目前已有对台风路径的分类研究主集中在对台风进行聚类分析,利用相似阈值对台风路径进行分类。但这种方法只适用于较少的台风路径分类,当台风路径集很大时,相似阈值定义较难,通用型较差。The typhoon path is a time series composed of the positions of the typhoon center point during the movement of the typhoon. Because the typhoon movement is affected by the regional environment and climate, its movement path is complex, so it is difficult to classify and analyze the typhoon path. At present, the classification research of typhoon track mainly focuses on cluster analysis of typhoon, and uses similarity threshold to classify typhoon track. However, this method is only suitable for a small number of typhoon track classifications. When the typhoon track set is large, the definition of the similarity threshold is difficult and the generalization is poor.

发明内容SUMMARY OF THE INVENTION

为解决现有技术存在的上述问题,本发明提出了一种利用宽度学习系统结合台风路径特征表示的台风路径分类方法。In order to solve the above problems existing in the prior art, the present invention proposes a typhoon path classification method using a width learning system combined with typhoon path feature representation.

本发明方法包括以下步骤:The method of the present invention comprises the following steps:

S1、构建台风路径种类集合。利用改进的DBSCAN算法对台风路径进行聚类分析,利用动态时间规整算法代替DBSCAN算法中的相似度计算方法计算路径间的相似度,将相似性大的路径自动聚为一类,建立台风路径的种类标签矩阵;S1. Construct a set of typhoon path types. The improved DBSCAN algorithm is used to cluster the typhoon paths, and the dynamic time warping algorithm is used to replace the similarity calculation method in the DBSCAN algorithm to calculate the similarity between the paths. category label matrix;

S2、构建台风路径的特征矩阵。利用改进的层次聚类算法对台风路径通过特征表示来统一长度,因台风路径点是严格按照时间先后顺序排列的数据序列,因此本发明将层次聚类算法进行改进,只对各个路径相邻点进行层次聚类分析,以相邻点的欧几里得距离(欧氏距离)为度量标准,将欧氏距离较小的点进行合并,将所有台风路径统一长度,实现各个台风路径的特征表示,得到台风路径特征矩阵;S2. Construct the characteristic matrix of the typhoon path. The improved hierarchical clustering algorithm is used to unify the length of the typhoon path through the characteristic representation. Because the typhoon path points are a data sequence arranged in strict chronological order, the present invention improves the hierarchical clustering algorithm, and only the adjacent points of each path are Perform hierarchical clustering analysis, take the Euclidean distance (Euclidean distance) of adjacent points as the metric, merge the points with smaller Euclidean distances, and unify the length of all typhoon paths to realize the characteristic representation of each typhoon path , get the typhoon track characteristic matrix;

S3、建立基于宽度学习系统的台风路径多分类模型,并利用该模型进行台风路径分类。宽度学习系统(BLS)是一种基于随机向量函数链接神经网络的增量式学习算法,本发明将S1得到的台风路径种类标签矩阵和S2得到的台风路径特征矩阵作为模型的输入,特征映射层随机生成权重对输入样本进行特征提取,增强节点层通过正交规范化的随机权重对特征向量进行增强计算,利用激活函数函数增强模型的非线性分类能力,最后通过对特征映射层和增强节点层的合成矩阵进行伪逆运算,求出系统输入到输出的权重矩阵,输出矩阵每行的输出值即为BLS求出的各路径分别属于各个类别的概率,各行最大值所在位置索引即为各条测试路径所被判别的类别,从而实现台风路径的分类预测。S3. Establish a multi-classification model of typhoon paths based on the width learning system, and use the model to classify typhoon paths. Width Learning System (BLS) is an incremental learning algorithm based on random vector function link neural network. The present invention uses the typhoon track type label matrix obtained by S1 and the typhoon track feature matrix obtained by S2 as the input of the model, and the feature mapping layer The weights are randomly generated to extract the features of the input samples. The enhancement node layer performs enhancement calculation on the feature vector through orthogonal normalized random weights, and uses the activation function function to enhance the nonlinear classification ability of the model. Finally, through the feature mapping layer and the enhancement node layer. The synthetic matrix performs pseudo-inverse operation to obtain the weight matrix from the input to the output of the system. The output value of each row of the output matrix is the probability that each path obtained by BLS belongs to each category, and the index of the maximum value of each row is each test. The category determined by the path, so as to realize the classification prediction of the typhoon path.

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

第一,本发明方法中采用了改进的DBSCAN聚类算法建立台风路径的种类集合,可以根据历史各个台风路径的相似性自动生成种类集合。First, the improved DBSCAN clustering algorithm is used in the method of the present invention to establish the type set of typhoon paths, and the type set can be automatically generated according to the similarity of each typhoon path in history.

第二,本发明方法采用了改进层次聚类的特征表示方法,将不同台风路径数据统一尺度,为分类提供基础。Second, the method of the present invention adopts the feature representation method of improved hierarchical clustering, and unifies the scale of different typhoon path data to provide a basis for classification.

第三,本发明方法采用了宽度学习系统对台风路径进行分类,实现了台风路径的自动分类。Third, the method of the present invention adopts the width learning system to classify the typhoon path, and realizes the automatic classification of the typhoon path.

附图说明Description of drawings

为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图做以简单地介绍,显而易见地,下面描述中的附图是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他附图。In order to illustrate the embodiments of the present invention or the technical solutions in the prior art more clearly, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description These are some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained according to these drawings without creative efforts.

图1是本发明的具体实施方式中基于宽度学习系统的台风路径分类方法流程图。FIG. 1 is a flowchart of a typhoon track classification method based on a width learning system in a specific embodiment of the present invention.

具体实施方式Detailed ways

如图1所示,本发明包括以下步骤:As shown in Figure 1, the present invention comprises the following steps:

S1、通过聚类算法建立台风路径种类集。S1. Establish a typhoon track type set through a clustering algorithm.

因台风路径是台风运动过程中台风中心按照时间先后顺序排列的轨迹序列,而DBSCAN算法是一种基于密度的聚类算法,它可以发现任意形状的簇,自动确定簇的数量,并对噪声具有鲁棒性,因此很适合于对台风路径这种轨迹类数据进行聚类分析,将相似性大的路径自动聚为一类。相似度一般利用距离进行衡量,距离越小相似度越大。原始的DBSCAN算法在做聚类分析时,采用的是欧氏距离度量方法,此方法只适合用于具有相同个数的点的台风路径且其没有考虑路径的波动情况,因此本发明利用动态时间规整算法作为路径的距离度量方法。动态时间规整算法是通过把需要比较的不同路径进行伸长或缩短,直到长度一致,再计算路径间距离。因此台风路径种类集建立过程为:Because the typhoon path is the trajectory sequence of the typhoon center in chronological order during the typhoon movement, and the DBSCAN algorithm is a density-based clustering algorithm, it can find clusters of any shape, automatically determine the number of clusters, and have a good understanding of noise. Robustness, so it is very suitable for cluster analysis of trajectory data such as typhoon paths, and automatically cluster the paths with large similarity into one category. The similarity is generally measured by distance, and the smaller the distance, the greater the similarity. The original DBSCAN algorithm uses the Euclidean distance measurement method when doing cluster analysis. This method is only suitable for typhoon paths with the same number of points and does not consider the fluctuation of the path. Therefore, the present invention uses dynamic time. The warping algorithm is used as a distance metric for paths. The dynamic time warping algorithm is to lengthen or shorten the different paths that need to be compared until the lengths are the same, and then calculate the distance between the paths. Therefore, the establishment process of the typhoon track type set is as follows:

(1)设扫描邻域半径eps,最小包含路径个数minPts,任选台风路径样本中一条未被访问的路径开始,利用动态时间规整算法计算该路径与其他路径的距离,找出与其距离在eps之内(包括eps)的所有附近路径。(1) Set the scanning neighborhood radius eps, the minimum number of included paths minPts, select an unvisited path in the typhoon path sample to start, use the dynamic time warping algorithm to calculate the distance between the path and other paths, and find out the distance between the path and other paths. All nearby paths within and including eps.

(2)如果附近路径的数量大于等于minPts,则当前路径与其附近路径形成一个簇,并且出发路径被标记成已访问。(2) If the number of nearby paths is greater than or equal to minPts, the current path and its nearby paths form a cluster, and the departure path is marked as visited.

(3)重复(1)-(2)步,处理该簇内所有未被标记成已访问的路径,若附近路径的数量小于minPts,则该路径被标记为噪声数据。(3) Repeat steps (1)-(2) to process all paths in the cluster that are not marked as visited. If the number of nearby paths is less than minPts, the path is marked as noise data.

(4)若簇内所有路径都被标记成已访问,重复(2)-(3)步直到所有对象都被归为某个簇或标记成噪声数据,输出各个路径的种类标签矩阵。每个路径的特征矩阵记为路径特征的标签矩阵记为Y。(4) If all paths in the cluster are marked as visited, repeat steps (2)-(3) until all objects are classified as a cluster or marked as noise data, and output the category label matrix of each path. The feature matrix of each path is denoted as the label matrix of the path features, which is denoted as Y.

S2、各个台风路径的数据长度可能不同,因此不能直接利用原始数据构造特征矩阵进行分类。考虑到台风路径无法用函数关系来准确拟合,因此,利用改进的层次聚类算法从各个台风路径上提取相同个数点来表示台风路径,这一过程本发明命名为台风路径特征表示,各个提取的点叫做特征点,各个特征点组成的为特征路径。层次的聚类算法的计算原理是先计算样本之间的距离,每次将距离最近的点合并到同一个类。然后,再计算类与类之间的距离,将距离最近的类合并为一个大类,不停的合并,直到达到规定的条件。本发明利用改进的层次聚类方法对台风路径进行特征表示,只以相邻点的欧几里得距离(欧氏距离)为度量标准,将欧氏距离小的点进行合并,把合并的点作为路径的特征点。若li为点Ti到点Ti+1的距离,

Figure BDA0003421892150000031
其中xi和yi分别为点Ti的经度和纬度,xi+1和yi+1分别为点Ti+1的经度和纬度,具体计算步骤如下:S2. The data lengths of each typhoon path may be different, so the original data cannot be directly used to construct a feature matrix for classification. Considering that the typhoon path cannot be accurately fitted with a functional relationship, an improved hierarchical clustering algorithm is used to extract the same number of points from each typhoon path to represent the typhoon path. This process is named typhoon path feature representation in the present invention. The extracted points are called feature points, and each feature point constitutes a feature path. The calculation principle of the hierarchical clustering algorithm is to first calculate the distance between samples, and merge the points with the closest distance into the same class each time. Then, calculate the distance between the classes, merge the classes with the closest distance into one large class, and keep merging until the specified conditions are met. The invention uses the improved hierarchical clustering method to characterize the typhoon path, and only uses the Euclidean distance (Euclidean distance) of adjacent points as the metric standard, merges the points with small Euclidean distance, and merges the points with the smaller Euclidean distance. as the feature points of the path. If l i is the distance from point T i to point T i+1 ,
Figure BDA0003421892150000031
where x i and y i are the longitude and latitude of the point T i respectively, and x i+1 and y i+1 are the longitude and latitude of the point T i+ 1 respectively. The specific calculation steps are as follows:

A1、计算原始台风路径上各相邻点之间的距离liA1. Calculate the distance li between adjacent points on the original typhoon path.

A2、将所有距离li保存在集合S中,S={l1,l2,…,ln-1},其中,l1为点T1和点T2点之间的距离,l2为点T2和点T3之间的距离,ln-1为点Tn-1和点Tn之间的距离,i表示点的序号,n表示点的总数。A2. Save all distances l i in the set S, S={l 1 , l 2 ,..., l n-1 }, where l 1 is the distance between point T 1 and point T 2 , l 2 is the distance between point T2 and point T3, l n-1 is the distance between point Tn -1 and point Tn, i represents the serial number of the point, and n represents the total number of points.

A3、将S集合中距离最小的两点合并为一个点,并用两点的经度和纬度的均值表示该点,形成新路径。A3. Combine the two points with the smallest distance in the S set into one point, and use the mean of the longitude and latitude of the two points to represent the point to form a new path.

A4、按步骤A2重新计算新路径上各个相邻点之间的距离,更新集合S。A4. Recalculate the distances between adjacent points on the new path according to step A2, and update the set S.

A5、转步骤A3,直到所有新路径的点数达到样本集中最短路径集的长度,输出特征路径集F。A5. Go to step A3 until the points of all new paths reach the length of the shortest path set in the sample set, and output the feature path set F.

S3、建立基于宽度学习系统的台风路径分类模型,并基于该模型进行分类预测。宽度学习系统(BLS)是一种基于随机向量函数链接神经网络的增量式学习算法,将特征路径集F和标签矩阵Y作为输入,特征映射层随机生成权重对输入样本进行特征提取,增强节点层通过正交规范化的随机权重对特征向量进行增强计算,利用激活函数函数增强模型的非线性分类能力,最后通过对特征映射层和增强节点层的合成矩阵进行伪逆运算,求出系统输入到输出的权重矩阵,输出矩阵每行的输出值即为BLS求出的各路径分别属于各个类别的概率,各行最大值所在位置索引即为各条测试路径所被判别的类别,从而实现台风路径的分类预测。S3. Establish a typhoon path classification model based on the width learning system, and perform classification prediction based on the model. Breadth Learning System (BLS) is an incremental learning algorithm based on random vector function link neural network. It takes feature path set F and label matrix Y as input, and the feature mapping layer randomly generates weights to extract features from input samples and enhance nodes. The layer performs enhancement calculation on the feature vector through orthogonal normalized random weights, and uses the activation function function to enhance the nonlinear classification ability of the model. The output weight matrix, the output value of each row of the output matrix is the probability of each path belonging to each category determined by BLS, and the index of the maximum value of each row is the category judged by each test path, so as to realize the typhoon path. Classification prediction.

最后应说明的是:以上各实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述各实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分或者全部技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明各实施例技术方案的范围。Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, but not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand that: The technical solutions described in the foregoing embodiments can still be modified, or some or all of the technical features thereof can be equivalently replaced; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the technical solutions of the embodiments of the present invention. scope.

Claims (3)

1. A typhoon path classification method based on a width learning system is characterized by comprising the following steps:
s1, constructing a typhoon path category set;
the improved DBSCAN algorithm is used for carrying out cluster analysis on the typhoon path, and specifically comprises the following steps: calculating the similarity between paths by using a dynamic time warping algorithm instead of a similarity calculation method in a DBSCAN algorithm, and automatically grouping paths with large similarity into one category; establishing a category label matrix of the typhoon path;
s2, constructing a feature matrix of the typhoon path;
the method utilizes an improved hierarchical clustering algorithm to unify the length of the typhoon path through feature representation, and specifically comprises the following steps: improving a hierarchical clustering algorithm, only performing hierarchical clustering analysis on adjacent points of each path, combining the points with smaller Euclidean distance by taking the Euclidean distance of the adjacent points as a measurement standard, unifying the lengths of all typhoon paths, and realizing the characteristic representation of each typhoon path; obtaining a typhoon path feature matrix;
s3, typhoon path classification is carried out by using a typhoon path multi-classification model based on a width learning system;
taking the typhoon path type label matrix obtained in the step S1 and the typhoon path feature matrix obtained in the step S2 as the input of the model;
randomly generating weights by a feature mapping layer in the typhoon path multi-classification model to perform feature extraction on input samples, performing enhanced calculation on feature vectors by an enhanced node layer through orthogonal normalized random weights, and enhancing the nonlinear classification capability of the model by using an activation function;
and finally, performing pseudo-inverse operation on a synthetic matrix of the feature mapping layer and the enhanced node layer to obtain a weight matrix from system input to output, wherein the output value of each row of the output matrix is the probability that each path obtained by the width learning system belongs to each category, and the position index of the maximum value of each row is the category judged by each test path, so that the classified prediction of the typhoon paths is realized.
2. The method for classifying typhoon paths based on the width learning system as claimed in claim 1, wherein the constructing step of the typhoon path class label matrix in S1 is:
s11, setting a scanning neighborhood radius eps, wherein the scanning neighborhood radius eps comprises the number minPts of paths at minimum, starting with an unaccessed path in an optional typhoon path sample, calculating the distance between the path and other paths by using a dynamic time warping algorithm, and finding out all nearby paths which are within the eps of the path;
s12, if the number of the nearby paths is more than or equal to minPts, the current path and the nearby paths form a cluster, and the departure path is marked as visited;
s13, repeating S11-S12, processing all paths which are not marked as visited in the cluster, and if the number of nearby paths is less than minPts, marking the paths as noise data;
and S14, if all paths in the cluster are marked as accessed, repeating the steps S12-S13 until all objects are classified into a certain cluster or marked as noise data, and outputting the category label matrix of each path.
3. The typhoon path classification method based on the width learning system as claimed in claim 1, wherein the typhoon path feature matrix constructing step in S2 is:
s21, calculating the distance l between each adjacent point on each original typhoon pathi
S22, dividing all distances liStored in the set S; s ═ l1,l2,…,ln-1In which l1Is a point T1And point T2Distance between points, l2Is a point T2And point T3Distance between ln-1Is a point Tn-1And point TnI represents the serial number of the points, and n represents the total number of the points;
s23, combining two points with the minimum distance in the set S into one point, and representing the point by the mean value of the longitude and the latitude of the two points to form a new path;
s24, recalculating the distance between the points adjacent to the newly generated point of the new path according to the step S22, and updating the set S;
and S25, turning to the step S23, and outputting the feature path set until the point number of all the new paths reaches the length of the shortest path set in the sample set.
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