CN107609107A - A kind of trip co-occurrence phenomenon visual analysis method based on multi-source Urban Data - Google Patents

A kind of trip co-occurrence phenomenon visual analysis method based on multi-source Urban Data Download PDF

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CN107609107A
CN107609107A CN201710820085.1A CN201710820085A CN107609107A CN 107609107 A CN107609107 A CN 107609107A CN 201710820085 A CN201710820085 A CN 201710820085A CN 107609107 A CN107609107 A CN 107609107A
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CN107609107B (en
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孔祥杰
李梦琳
夏锋
赵高兴
刘程程
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Dalian University of Technology
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Abstract

The invention belongs to city mobile data analysis technical field, discloses a kind of trip co-occurrence phenomenon visual analysis method based on multi-source Urban Data, and step is:Region division is carried out to city first with road network basic data and emulation tool, then to being modeled for interregional co-occurrence, rule digging is associated to region based on taxi track data using the parameter of the setting of the model and user, city interest point data excavation regions function is combined afterwards, it is final to visualize co-occurrence Result and regional function.The present invention can utilize multi-source Urban Data:Taxi track data, city road network data, POI data, visual analyzing with multi-angle is carried out in all directions to region co-occurrence phenomenon and urban area function and explored, effective information is provided for Urban Traffic Planning, there is to be easy to analyze data internal association, workable.

Description

一种基于多源城市数据的出行共现现象可视化分析方法A visual analysis method for travel co-occurrence phenomena based on multi-source urban data

技术领域technical field

本发明属于城市移动数据分析技术领域,尤其涉及一种基于多源城市数据的出行共现现象可视化分析方法。The invention belongs to the technical field of urban mobile data analysis, and in particular relates to a method for visual analysis of travel co-occurrence phenomena based on multi-source urban data.

背景技术Background technique

随着城市交通的快速发展,随之产生了大量的移动数据,这些移动数据具有丰富的时间属性、空间属性,通过这些属性能够真实的反应城市人类移动状况。出租车作为城市移动交通的重要组成部分,为城市居民出行提供极大便利。根据出租车轨迹数据可以发现城市中具有某种规律的出行模式,这种发现对了解城市结构有着极为重要的意义。我们将共现现象定义为:如果来自区域A和区域B的人在同一时间间隔内访问区域C,我们称“区域A和区域B在区域C 共现”。我们可以说区域A和区域B参与了一个共现事件。一个城市中发生的所有共现事件的规律就是我们的分析主题-共现现象。基于共现现象的分析,我们可以获取到城市规划,商业策略制定,接触性传染病传播等方面的有价值的信息。路网数据是城市研究中最常用的地理数据,通常通过图的方式呈现。图中节点表示交叉路口,具有唯一的地理坐标;边表示路段,连接两个节点;其他属性,如长度、速度限制、道路类型、车道数等,都与边相关。兴趣点(Point Of Interest,POI)数据(例如餐厅、商场)通常由名称、地址、类别和地理坐标所组成,概括地介绍了各地理单元的基本属性,该类数据主要通过地图数据提供商通过人工进行标识或者网民在开源在线地图网站自由编辑得到。With the rapid development of urban traffic, a large amount of mobile data has been generated. These mobile data have rich time attributes and spatial attributes, and these attributes can truly reflect the mobility of urban humans. As an important part of urban mobile transportation, taxis provide great convenience for urban residents to travel. According to the taxi trajectory data, it can be found that there is a certain regular travel pattern in the city, which is of great significance for understanding the urban structure. We define co-occurrence phenomenon as: if people from area A and area B visit area C during the same time interval, we say "area A and area B co-occur in area C". We can say that region A and region B are involved in a co-occurrence event. The law of all co-occurrence events in a city is our analysis subject - co-occurrence phenomenon. Based on the analysis of co-occurrence phenomena, we can obtain valuable information on urban planning, business strategy formulation, and the spread of contagious infectious diseases. Road network data is the most commonly used geographical data in urban research, usually presented in the form of graphs. Nodes in the graph represent intersections, which have unique geographic coordinates; edges represent road segments, connecting two nodes; other attributes, such as length, speed limit, road type, number of lanes, etc., are related to edges. Point Of Interest (POI) data (such as restaurants, shopping malls) usually consists of names, addresses, categories, and geographic coordinates, which briefly introduces the basic attributes of each geographic unit. This type of data is mainly obtained through map data providers. Marked manually or freely edited by netizens on open source online map websites.

然而出租车轨迹数据的庞杂和抽象造成从这些数据中挖掘信息并不容易,而可视化技术结合可视图表的展示形式和人机交互,操作简化分析过程,用户通过交互修改分析模型的参数,从而生成新的可视化结果,经过可视化分析,能够从出租车轨迹数据中挖掘更多有价值的信息。However, the complexity and abstraction of taxi trajectory data make it difficult to mine information from these data. Visualization technology combines the display form of visual charts and human-computer interaction to simplify the analysis process. Users modify the parameters of the analysis model through interaction, thereby Generate new visualization results, and through visual analysis, more valuable information can be mined from taxi trajectory data.

本方法采用了城市出租车轨迹数据,路网数据和POI数据,旨在利用多源城市数据从多方面来共同探索出行共现现象,挖掘该现象所隐藏的价值。This method uses urban taxi trajectory data, road network data and POI data, aiming to use multi-source urban data to jointly explore the co-occurrence phenomenon of travel from various aspects and tap the hidden value of this phenomenon.

发明内容Contents of the invention

本发明的目的主要针对上述数据分析的不便之处,提出一种基于多源城市数据的出行共现现象可视化分析方法。基于路网数据对区域进行划分,通过对出租车轨迹数据处理,提取出能够反映区域间联系的共现数据;结合城市POI 数据挖掘区域功能,并最终对共现结果和区域功能挖掘进行可视化展示。为了解城市结构提供有效信息。The purpose of the present invention is to propose a visual analysis method for travel co-occurrence phenomena based on multi-source city data mainly for the inconvenience of the above-mentioned data analysis. Divide regions based on road network data, and extract co-occurrence data that can reflect the connection between regions by processing taxi trajectory data; combine urban POI data to mine regional functions, and finally visualize co-occurrence results and regional function mining . Provide useful information for understanding urban structure.

本发明的技术方案:Technical scheme of the present invention:

一种基于多源城市数据的出行共现现象可视化分析方法,步骤如下:A method for visual analysis of travel co-occurrence phenomena based on multi-source urban data, the steps are as follows:

S1:对原始数据进行预处理S1: Preprocessing the raw data

S1.1:出租车运营轨迹数据的清洗以及出租车基础数据的规范化处理;S1.1: Cleaning of taxi operation trajectory data and standardization of taxi basic data;

S1.2:原始POI数据的清洗以及对POI数据规范化处理;S1.2: Cleaning of original POI data and normalization of POI data;

S2:对步骤S1预处理得到的数据进行时间,区域划分S2: Carry out time and area division on the data obtained by the preprocessing of step S1

S2.1:时间划分:根据行车规律特征,将一天划分为T个时段;S2.1: Time division: Divide a day into T periods according to the characteristics of driving rules;

S2.2:区域划分:根据城市道路路网,将城市空间划分为R个区域;S2.2: Regional division: divide the urban space into R areas according to the urban road network;

S3:对步骤S2划分后的数据进行区域功能挖掘S3: Perform regional function mining on the data divided in step S2

S3.1:区域功能划分,将城市区域功能归类为F类S3.1: Division of regional functions, classify urban regional functions into category F

S3.2:计算每个区域中各类POI出现的频率,使用符号TFi,j表示在区域ri中第j类POI数据出现的频率,计算公式如下所示:S3.2: Calculate the occurrence frequency of various types of POIs in each area, use the symbol TF i,j to represent the frequency of occurrence of the jth type of POI data in area r i , the calculation formula is as follows:

其中,ni,j代表区域ri中第j类POI的数量,F表示POI的类别数;Among them, n i,j represent the number of POIs of the jth category in the area r i , and F represents the number of categories of POIs;

S3.3:计算第j类POI数据的逆文档频率,使用IDFj来表示,其中R表示区域总数量,计算公式如下:S3.3: Calculate the inverse document frequency of POI data of the jth type, represented by IDF j , where R represents the total number of regions, and the calculation formula is as follows:

S3.4:TFi,j与IDFj相乘即是区域ri对第j类POI的TF-IDF值,表示区域的静态功能分布状况,计算公式如下:S3.4: The multiplication of TF i,j and IDF j is the TF-IDF value of region r i to the jth POI, which indicates the static function distribution of the region. The calculation formula is as follows:

TF-IDFi,j=TFi,j×IDFj TF-IDF i,j =TF i,j ×IDF j

S3.5:运用LDA主题模型算法对步骤S2中的OD数据进行主题挖掘,最终结果使用进行表示,它表示区域ri的动态功能分布,其中zi,k表示第k类区域功能在区域ri的占比;S3.5: Use the LDA topic model algorithm to carry out topic mining on the OD data in step S2, and use the final result It represents the dynamic function distribution of the region r i , where z i,k represents the proportion of the kth type of regional function in the region r i ;

S3.6:计算区域ri和区域rm之间的动态功能相似度,记为λi,m,cos表示向量间余弦值,计算公式如下:S3.6: Calculate the dynamic functional similarity between the region r i and the region r m , denoted as λ i,m , cos represents the cosine value between vectors, the calculation formula is as follows:

S3.7:定义如下的代价函数J,也即目标函数,表示区域真实执行的功能状况与其表现在静态和动态两方面现象的偏差,并计算出代价函数的最小值,代价函数公式如下:S3.7: Define the following cost function J, that is, the objective function, which represents the deviation between the actual functional status of the region and its performance in both static and dynamic aspects, and calculates the minimum value of the cost function. The formula of the cost function is as follows:

其中,R代表区域总数量,代表区域ri的真实功能分布,也是最终所求,代表区域rj的POI分布状况;Among them, R represents the total number of regions, Represents the real function distribution of the region r i , which is also the final requirement, Represents the distribution of POIs in the region r j ;

S4:对步骤S2划分后的数据通过关联规则挖掘算法挖掘共现事件S4: Mining co-occurrence events through the association rule mining algorithm on the data divided in step S2

S4.1:对步骤S2所述的数据进行共现事务提取;S4.1: extracting co-occurrence transactions from the data described in step S2;

S4.2:对S4.1提取到的数据通过关联规则Apriori算法挖掘频繁项集;S4.2: Mining frequent itemsets through the association rule Apriori algorithm for the data extracted in S4.1;

S4.3:对步骤S4.2得到的数据进行相关性统计量计算,区域A和区域B之间的各相关性统计量支持度support,置信度confidence,全置信度all_confidence,最大置信度max_confidence,提升度lift,Kulczynski度量Kulc,不平衡比IR,以及余弦cosine计算公式如下,其中P表示概率:S4.3: Carry out correlation statistics calculation on the data obtained in step S4.2, each correlation statistics between area A and area B supports support, confidence degree confidence, full confidence degree all_confidence, maximum confidence degree max_confidence, Lift degree lift, Kulczynski measure Kulc, imbalance ratio IR, and cosine calculation formula are as follows, where P represents probability:

support=P(A∪B)support=P(A∪B)

S5:可视化展示共现结果S5: Visual display of co-occurrence results

S5.1:根据S3.7中计算得到的区域功能图,使用不同的颜色在地图上标识不同的区域功能;S5.1: According to the regional function map calculated in S3.7, use different colors to mark different regional functions on the map;

S5.2:根据S4.2中挖掘到的频繁项集绘制全局共现现象地图,地图基于共现关系和共现参与度两个方面进行绘制;S5.2: Draw a global co-occurrence map based on the frequent itemsets mined in S4.2. The map is drawn based on two aspects: co-occurrence relationship and co-occurrence participation;

S5.3:根据S4.2中挖掘到的频繁项集绘制区域共现环形热图,环形热图着力于分析区域和区域之间的共现规律;S5.3: Draw a regional co-occurrence ring heat map based on the frequent itemsets mined in S4.2. The ring heat map focuses on analyzing the co-occurrence law between regions and regions;

S5.4:根据S4.3中计算得到的统计量数据绘制平行坐标图,平行坐标图以指标来衡量两个区域之间的相关性。S5.4: Draw a parallel coordinates graph based on the statistical data calculated in S4.3. The parallel coordinates graph uses indicators to measure the correlation between two regions.

本发明的有益效果:本发明能够利用多源城市数据:出租车轨迹数据,城市路网数据,POI数据,对区域共现现象及城市区域功能进行全方面多角度地可视化分析探索,为城市交通规划提供有效信息,具有便于分析数据内在关联、可操作性强等特点。Beneficial effects of the present invention: the present invention can utilize multi-source urban data: taxi track data, urban road network data, POI data, carry out all-round and multi-angle visual analysis and exploration on regional co-occurrence phenomena and urban regional functions, providing urban traffic Planning provides effective information, which is easy to analyze the internal correlation of data and has strong operability.

附图说明Description of drawings

图1为本方法的结构图;Fig. 1 is the structural diagram of this method;

图2为一种基于多源城市数据的出行共现现象可视化分析方法的数据处理流程图;Fig. 2 is a data processing flowchart of a visual analysis method for travel co-occurrence phenomena based on multi-source city data;

图3为一种基于多源城市数据的出行共现现象可视化分析方法的区域划分图;Figure 3 is a regional division diagram of a visual analysis method for travel co-occurrence phenomena based on multi-source city data;

图4为本发明实施案例利用上海2015年4月的出租车数据进行共现挖掘后的共现事件全局可视化效果;Fig. 4 is the global visualization effect of the co-occurrence event after the co-occurrence mining is carried out using the taxi data of Shanghai in April 2015 in the implementation case of the present invention;

图5为本发明实施案例利用上海2015年4月的出租车数据进行共现挖掘后的共现热度全局可视化效果;Fig. 5 is the global visualization effect of the co-occurrence heat after the co-occurrence mining is performed using the taxi data in Shanghai in April 2015 in the implementation case of the present invention;

图6为本发明实施案例利用上海2015年4月的出租车数据进行共现挖掘后的区域共现热度局部可视化效果;Fig. 6 is the partial visualization effect of regional co-occurrence heat after co-occurrence mining using the taxi data in Shanghai in April 2015 in the implementation case of the present invention;

图7为本发明实施案例利用上海POI数据和2015年4月的出租车数据进行区域功能挖掘的可视化效果;Fig. 7 is the visualization effect of regional function mining using Shanghai POI data and taxi data in April 2015 for the implementation of the present invention;

图8为本发明实施案例利用上海市2015年4月的出租车数据进行共现挖掘后的区域相似性统计量分析可视化效果。Fig. 8 is the visualization effect of regional similarity statistics analysis after co-occurrence mining using the taxi data of Shanghai in April 2015 in the implementation case of the present invention.

具体实施方式Detailed ways

为了使本发明的目的、技术方案和优点更加清楚,下面将对本发明的具体实施方式作进一步的详细描述。In order to make the purpose, technical solution and advantages of the present invention clearer, the specific implementation manners of the present invention will be further described in detail below.

本发明实施例提供了一种基于多源城市数据的出行共现现象可视化分析方法,系统流程如图1所示,数据处理流程如图2所示,该方法包括:The embodiment of the present invention provides a method for visual analysis of travel co-occurrence phenomena based on multi-source city data. The system flow is shown in Figure 1, and the data processing flow is shown in Figure 2. The method includes:

S1:在原始数据集的基础上提取出有用的数据,步骤如下:S1: Extract useful data based on the original data set, the steps are as follows:

S1.1:其中出租车运营轨迹数据的清洗针对的是2015年4月1日至2015年4月30 日共30天的上海出租车轨迹数据。基于对共现现象的研究,很明显,我们需要载客出租车的OD数据,因此需要从原始数据集中提取出载客的出租车上下车时间,上下车地点经纬度,OD数据所拥有的属性包括,如表1:S1.1: The cleaning of the taxi operation trajectory data is aimed at the 30-day Shanghai taxi trajectory data from April 1, 2015 to April 30, 2015. Based on the research on the co-occurrence phenomenon, it is obvious that we need OD data of passenger taxis, so we need to extract the time of getting on and off of taxis carrying passengers, the latitude and longitude of getting on and off locations from the original data set, and the attributes of OD data include , as shown in Table 1:

表1Table 1

由于原始数据集中使用的距离为直线距离,但城市的道路基本是规整的,经过对城市中距离的进一步分析比较,我们抛弃原始的距离,并根据原始的经纬度计算两点的曼哈顿距离。出租车在不载客时会放慢速度来寻找乘客,对城市移动规律影响很小,因此我们选择筛掉空载的行车轨迹,显著地减小数据量,方便后续分析计算。提取后的数据属性如下表:Since the distance used in the original data set is a straight-line distance, but the roads in the city are basically regular. After further analysis and comparison of the distance in the city, we discard the original distance and calculate the Manhattan distance between two points based on the original latitude and longitude. When taxis are not carrying passengers, they will slow down to find passengers, which has little impact on the law of urban movement. Therefore, we choose to filter out unloaded driving trajectories to significantly reduce the amount of data and facilitate subsequent analysis and calculation. The extracted data attributes are as follows:

表2Table 2

数据提取之后发现其中有一些轨迹其所用时间很长,但路程很短,这种数据我们判定为异常数据,清洗办法是计算平均速度,将速度过小的删除掉。平均速度的计算方法为曼哈顿距离/行驶时长;其中行驶时长由乘客上下车时间计算,曼哈顿距离由经纬度计算,之后数据集中增加了以下属性:After data extraction, it was found that some of the trajectories took a long time, but the distance was very short. We judged this kind of data as abnormal data. The cleaning method was to calculate the average speed and delete the ones whose speed was too small. The calculation method of the average speed is Manhattan distance/travel time; where the travel time is calculated by the passenger boarding and alighting time, and the Manhattan distance is calculated by the latitude and longitude, and then the following attributes are added to the dataset:

表3table 3

编号Numbering 名称name 注释note 99 intervalinterval 行驶时长driving time 1010 speedspeed 平均速度 average speed

S1.2:原始POI数据的清洗主要是从原始数据中提取有用信息,并纠正一些分类错误的数据,同时要保证记录的完整性,提取信息如表3所示。S1.2: The cleaning of the original POI data is mainly to extract useful information from the original data, and correct some misclassified data, while ensuring the integrity of the records. The extracted information is shown in Table 3.

表4Table 4

编号Numbering 名称name 注释note 11 编号Numbering 取值为0-110769,唯一标识一条POI数据The value is 0-110769, which uniquely identifies a piece of POI data 22 名字name POI数据的名字The name of the POI data 33 纬度latitude POI的GPS纬度GPS latitude of POI 44 经度longitude POI的GPS经度GPS Longitude of POI 55 三级目录Third-level directory POI类别的三级目录 Three-level directory of POI categories

S2:针对S1所得的数据,需要对数据进行时间划分和区域划分,步骤如下:S2: For the data obtained in S1, it is necessary to divide the data by time and region, and the steps are as follows:

S2.1对数据进行时间划分步骤如下:S2.1 The steps for time division of data are as follows:

通过统计每个OD的行驶时长,通过统计规律来确定划分时间的时长。为此我们统计了4月4日至4月10日共一周的行驶时长,通过统计可以发现大约85%的 OD其行驶时长在30分钟以内,因此我们选取30分钟为时间划分的长度,这样将一天划分为48个时区,并设0:00到0:30的编号为0,以此类推,23:30到0:00的编号为47。每个OD以乘客上车时间计算其所属时间片。此时在数据集中增加属性 label_time[0-47]表示该OD所属时间片。By counting the driving time of each OD, the duration of the divided time is determined through statistical laws. For this reason, we counted the driving time of a week from April 4th to April 10th. Through statistics, we can find that about 85% of ODs have a driving time of less than 30 minutes. Therefore, we choose 30 minutes as the length of time division, so that A day is divided into 48 time zones, and the number from 0:00 to 0:30 is 0, and so on, and the number from 23:30 to 0:00 is 47. Each OD calculates its own time slice based on the boarding time of passengers. At this time, add the attribute label_time[0-47] in the data set to indicate the time slice to which the OD belongs.

表5table 5

编号Numbering 名称name 注释note 1111 label_timelabel_time OD所属时间段编号 OD belongs to the time period number

S2.2对数据进行区域划分步骤如下:S2.2 The steps to divide the data into regions are as follows:

区域划分即将整个研究区域划分为不同的区域,这样可通过出租车OD映射到城市区域之间的OD,能直观的呈现出共现现象在城市空间上的分布规律。为达到以上目的,我们的算法必须有两个功能:1)对城市空间进行平面上的区域划分,并对每一个区域进行编号;2)能通过给定一个经纬度将其映射到所划分的区域中。Regional division is to divide the entire research area into different areas, so that the taxi OD can be mapped to the OD between urban areas, and the distribution law of co-occurrence phenomena in urban space can be intuitively presented. In order to achieve the above goals, our algorithm must have two functions: 1) divide the urban space into regions on a plane, and number each region; 2) map it to the divided region by giving a latitude and longitude middle.

我们知道,城市道路是城市规划建设的,其将城市划分为规整的区块,并且这些区块往往会呈现出城市功能上的偏向,也就是区块聚集着相似的功能点。因此通过城市道路对城市进行空间上的区域划分是合理的。We know that urban roads are planned and constructed by the city, which divides the city into regular blocks, and these blocks often show a bias in urban functions, that is, blocks gather similar functional points. Therefore, it is reasonable to divide the city spatially by urban roads.

我们选取上海市N31.15-N31.37,E121.31-E121.84范围的城市二级及以上城市道路用于对以上范围进行区域划分。具体步骤如下所示:We selected urban roads of the second grade and above in the range of N31.15-N31.37, E121.31-E121.84 in Shanghai to divide the above ranges. The specific steps are as follows:

1)对图片进行膨胀处理,将道路交叉之间的细小间隙除去;1) Expand the image to remove the small gaps between road intersections;

2)对膨胀后的图片进行细化处理,将道路的宽度细化为一个像素;2) Thinning the expanded picture, and thinning the width of the road into one pixel;

3)对细化的图像进行编号,算法对每一个像素进行编号,处于同一个区域的像素具有相同的编号;3) Number the refined image, the algorithm numbers each pixel, and the pixels in the same area have the same number;

4)对编号的图像将代表道路的像素去掉,处理方法是将其编入相邻的区域中;4) Remove the pixels representing the road from the numbered image, and the processing method is to incorporate it into the adjacent area;

通过以上的处理,我们获得了上海市的区域划分数据,此次划分共将上海市划分为541个区域。划分效果如图3所示。之后我们要为S1中的初始OD数据添加起始和终止区域编号两个属性,为每一条POI添加区域编号属性。Through the above processing, we obtained the regional division data of Shanghai. This division divided Shanghai into 541 regions. The division effect is shown in Figure 3. After that, we need to add two attributes of start and end area numbers to the initial OD data in S1, and add area number attributes to each POI.

表6Table 6

编号Numbering 名称name 注释note 1212 label_startlabel_start OD起始区域编号OD start area number 1313 label_endlabel_end OD终止区域编号 OD end area number

S3:针对S2所得到的数据,完成区域功能的挖掘,步骤如下:S3: Based on the data obtained in S2, complete the mining of regional functions, the steps are as follows:

S3.1:区域功能划分,将区域功能归类为6类(住宅、工作、教育、商业、公共、服务和景点),每一条POI数据根据三级目录会归类到某一类别中。S3.1: Division of regional functions, classify regional functions into 6 categories (residential, work, education, commercial, public, service and scenic spots), and each piece of POI data will be classified into a certain category according to the three-level directory.

S3.2:计算每个区域中各类POI出现的频率,使用符号TFi,j表示在区域ri中第j类POI数据出现的频率,计算公式如下所示(ni,j代表区域ri中第j类POI的数量,F表示POI的类别数):S3.2: Calculate the frequency of occurrence of various types of POIs in each area, use the symbol TF i,j to indicate the frequency of occurrence of the jth type of POI data in area r i , the calculation formula is as follows (n i,j represents area r The number of POIs of the jth category in i , and F represents the number of categories of POIs):

S3.3:计算第j类POI数据的逆文档频率,使用IDFj来表示,其中R表示区域总数量,计算公式如下:S3.3: Calculate the inverse document frequency of POI data of the jth type, represented by IDF j , where R represents the total number of regions, and the calculation formula is as follows:

S3.4:TFi,j与IDFj相乘即是区域ri对第j类POI的TF-IDF值,表示区域的静态功能分布状况,计算公式如下:S3.4: The multiplication of TF i,j and IDF j is the TF-IDF value of region r i to the jth POI, which indicates the static function distribution of the region. The calculation formula is as follows:

TF-IDFi,j=TFi,j×IDFj TF-IDF i,j =TF i,j ×IDF j

S3.5:区域OD数据的整合,相比于以半小时作为时间片信息,根据行车规律以不定时间整合OD数据更加符合真实情况。表7展示的是工作日的时间划分,表8展示的是休息日的时间划分。S3.5: The integration of regional OD data is more in line with the real situation than taking half an hour as time slice information, and integrating OD data at an indefinite time according to driving rules. Table 7 shows the time division of working days, and Table 8 shows the time division of rest days.

表7Table 7

峰段peak section 起始时间start time 终止时间stop the time 11 02:30:0002:30:00 04:29:5904:29:59 22 04:30:0004:30:00 07:29:5907:29:59 33 07:30:0007:30:00 10:29:5910:29:59 44 10:30:0010:30:00 14:59:5914:59:59 55 15:00:0015:00:00 16:59:5916:59:59 66 19:30:0019:30:00 02:29:59 02:29:59

表8Table 8

以某一区域为基准,时间为列(共有18个时间段,区分OD流入流出),其他541区域为行,得到一个541*18的矩阵,可以得到541个这样的矩阵。之后合并这541个矩阵得到一个541*9738(541*18)的矩阵,记做矩阵D;Taking a certain area as the benchmark, time is the column (there are 18 time periods in total to distinguish OD inflow and outflow), and the other 541 areas are rows, and a 541*18 matrix can be obtained, and 541 such matrices can be obtained. Then merge these 541 matrices to get a matrix of 541*9738 (541*18), which is recorded as matrix D;

S3.6:运用LDA主题模型算法对S3.5中得到的矩阵D进行主题挖掘,最终结果使用进行表示,它表示区域ri的动态功能分布,其中zi,k表示第k类区域功能在区域ri的占比;S3.6: Use the LDA topic model algorithm to perform topic mining on the matrix D obtained in S3.5, and use the final result It represents the dynamic function distribution of the region r i , where z i,k represents the proportion of the kth type of regional function in the region r i ;

S3.7:计算区域ri和区域rm之间的动态功能相似度,记为λi,m,cos表示向量间余弦值,计算公式如下:S3.7: Calculate the dynamic functional similarity between the region r i and the region r m , denoted as λ i,m , cos represents the cosine value between vectors, the calculation formula is as follows:

S3.8::定义如下的代价函数J,也即目标函数,表示区域真实执行的功能状况与其表现在静态和动态两方面现象的偏差,并计算出代价函数的最小值,代价函数公式如下(R代表区域总数量,代表区域ri的真实功能分布,也是最终所求,代表区域rj的POI分布状况):S3.8:: Define the following cost function J, that is, the objective function, which represents the deviation between the actual functional status of the region and its performance in both static and dynamic aspects, and calculates the minimum value of the cost function. The formula of the cost function is as follows ( R represents the total number of regions, Represents the real function distribution of the region r i , which is also the final requirement, Represents the distribution of POIs in the area r j ):

S4:针对S2所得的数据,通过关联规则挖掘算法完成共现事件的挖掘,步骤如下:S4: Based on the data obtained in S2, the mining of co-occurrence events is completed through the association rule mining algorithm, and the steps are as follows:

S4.1:提取事务。根据数据集中的label_start,label_end,label_time提取事务,此时的事务表示在同一时间段之内达到同一区域的区域编号,即:S4.1: Fetch transactions. According to the label_start, label_end, label_time in the data set, the transaction is extracted. The transaction at this time represents the area number that reached the same area within the same time period, that is:

select label_start where label_time=0and label_start=1select label_start where label_time=0 and label_start=1

上面的语句提取出一个事务,这样每个时间段内将有541条事务;The above statement extracts one transaction, so there will be 541 transactions in each time period;

S4.2:对S4.1提取到的数据通过关联规则Apriori算法挖掘频繁项集,具体步骤如下所示:S4.2: Mining frequent itemsets through the association rule Apriori algorithm for the data extracted in S4.1, the specific steps are as follows:

1)给定支持度阈值q。支持度阈值是告诉算法什么项集记为频繁项集,凡支持度计数不小于支持度阈值的项集为频繁项集;其中支持度是项集中的项同时出现在一个事务中的事务数。而频繁项集即为挖掘的共现事件。1) Given a support threshold q. The support threshold is to tell the algorithm what itemsets are recorded as frequent itemsets, and the itemsets whose support count is not less than the support threshold are frequent itemsets; where the support is the number of transactions in which the items in the itemset appear in a transaction at the same time. The frequent itemsets are the co-occurrence events to be mined.

2)挖掘出频繁1项集。频繁1项集是项为1的频繁项集。方法是遍历所有事务,统计所有项出现在事务中的事务数,将计数>=q的1项集标记为频繁1项集。2) Mining frequent 1-itemsets. A frequent 1-itemset is a frequent itemset whose item is 1. The method is to traverse all transactions, count the number of transactions in which all items appear in the transaction, and mark the 1-itemset with count >=q as frequent 1-itemset.

3)挖掘频繁n项集。通过频繁n-1项集两两合并得出候选项集,在扫描事务,检查候选项集的支持度是否>=q,是则标记为频繁n项集。3) Mining frequent n-itemsets. Candidate itemsets are obtained by merging frequent n-1 itemsets in pairs. When scanning transactions, check whether the support of candidate itemsets is >=q, and if so, mark it as frequent n itemsets.

4)循环挖掘频繁n项集,直到n项集没有频繁项集结束循环。4) Cyclic mining of frequent n-itemsets until the n-itemsets have no frequent itemsets to end the cycle.

5)将挖掘到的共现事件按日期存入文件,并通过时间标记,存入频繁项集及其支持度计数。5) Save the mined co-occurrence events into files by date, and store them into frequent itemsets and their support counts through time stamps.

S4.3:相关统计量的计算,代表含义及计算公式如下所示:S4.3: Calculation of relevant statistics, representative meanings and calculation formulas are as follows:

支持度,表示区域A与区域B发生共现的次数在总事务中的占比,其中P 表示概率。即The degree of support indicates the proportion of the number of co-occurrences between region A and region B in the total transactions, where P represents the probability. which is

support=P(A∪B)support=P(A∪B)

2)置信度,表示区域B与区域A发生的共现事件与区域A参与的共现事件的占比,此时称为A->B的置信度。即 2) Confidence, which indicates the proportion of the co-occurrence events that occur in area B and area A and the co-occurrence events that area A participates in, which is called the confidence of A->B. which is

3)全置信度,置信度与置信度的较小值。即3) full confidence, Confidence and The smaller value of the confidence. which is

4)最大置信度,置信度与置信度的较大值。即4) Maximum confidence, Confidence and The larger value of the confidence. which is

5)提升度Lift,提升度表示含有A的条件下,同时含有B的概率,与不含 A的条件下却含B的概率之比。表示区域A与区域B之间的相关性,当提升度 Lift大于1,表示两个区域正相关,若小与1,表示两个区域负相关,若等于1,则表示两个区域不相关,独立。即5) Lift, which means the ratio of the probability of containing B under the condition of containing A to the probability of containing B under the condition of not containing A. Indicates the correlation between area A and area B. When Lift is greater than 1, it means that the two areas are positively correlated. If it is less than 1, it means that the two areas are negatively correlated. If it is equal to 1, it means that the two areas are not related. independent. which is

6)Kulc,置信度与置信度的平均值。即6) Kulc, Confidence and Confidence average. which is

7)IR,置信度与置信度的比值。即7) IR, Confidence and Confidence ratio. which is

8)Cosine,表示区域A与区域B发生共现的概率与A,B发生的概率的几何平均值的值。8) Cosine, which represents the probability of co-occurrence of region A and region B and the geometric mean value of the probability of occurrence of A and B.

which is

S5:针对S3,S4挖掘所得的数据,进行可视化展示,步骤如下:S5: Visually display the data mined from S3 and S4, the steps are as follows:

S5.1:根据S3.7中计算得到的区域功能图,使用不同的颜色在地图上标识不同的区域功能,如图4和图7;S5.1: According to the regional function map calculated in S3.7, use different colors to mark different regional functions on the map, as shown in Figure 4 and Figure 7;

S5.2:根据S4.2中挖掘到的频繁项集绘制全局共现现象地图,地图基于共现关系,如图4,和共现参与度,如图5,两个方面进行绘;S5.2: Draw a global co-occurrence map based on the frequent itemsets mined in S4.2. The map is based on the co-occurrence relationship, as shown in Figure 4, and the degree of co-occurrence participation, as shown in Figure 5, drawn from two aspects;

S5.3:根据S4.2中挖掘到的频繁项集绘制区域共现环形热图,环形热图着力于分析区域和区域之间的共现规律,如图6;S5.3: Draw a regional co-occurrence ring heat map based on the frequent itemsets mined in S4.2. The ring heat map focuses on analyzing the co-occurrence law between regions and regions, as shown in Figure 6;

S5.4:根据S4.3中计算得到的统计量数据绘制平行坐标图,平行坐标图以指标来衡量两个区域之间的相关性,如图8。S5.4: Draw a parallel coordinate graph based on the statistical data calculated in S4.3. The parallel coordinate graph uses indicators to measure the correlation between the two regions, as shown in Figure 8.

以上的所述乃是本发明的具体实施例及所运用的技术原理,若依本发明的构想所作的改变,其所产生的功能作用仍未超出说明书及附图所涵盖的精神时,仍应属本发明的保护范围。The above descriptions are the specific embodiments of the present invention and the technical principles used. If the changes made according to the conception of the present invention do not exceed the spirit covered by the description and accompanying drawings, they should still be Belong to the protection scope of the present invention.

Claims (1)

1. A travel co-occurrence phenomenon visualization analysis method based on multi-source city data is characterized by comprising the following steps:
s1: preprocessing raw data
S1.1: cleaning taxi operation track data and carrying out standardized processing on taxi basic data;
s1.2: cleaning original POI data and carrying out normalized processing on the POI data;
s2: carrying out time and area division on the data obtained by the preprocessing in the step S1
S2.1: time division: dividing one day into T time intervals according to the characteristics of the driving rule;
s2.2: area division: dividing an urban space into R areas according to an urban road network;
s3: performing regional function mining on the data divided in the step S2
S3.1: regional function division, classifying urban regional functions into F class
S3.2: calculating the frequency of the POI in each region, and using the symbol TF i,j Is shown in the region r i The calculation formula of the frequency of the j-th POI data is as follows:
wherein n is i,j Representative region r i The number of POIs in the j-th category, and F represents the number of categories of the POIs;
s3.3: calculating inverse document frequency of the j-th POI data by using IDF j Where R represents the total number of regions, the calculation formula is as follows:
S3.4:TF i,j and IDF j Multiplication is the region r i For the TF-IDF value of the j-th POI, the static function distribution state of the area is represented, and the calculation formula is as follows:
TF-IDF i,j =TF i,j ×IDF j
s3.5: performing theme mining on the OD data in the step S2 by using an LDA theme model algorithm, and using a final resultIs shown, it shows the region r i Dynamic functional distribution of (2), wherein z i,k Indicates that the kth class region function is in region r i The ratio of (A) to (B);
s3.6: calculating the region r i And region r m The dynamic function similarity between them is recorded as lambda i,m Cos represents the cosine value between vectors, and the calculation formula is as follows:
s3.7: defining a cost function J, namely an objective function, representing the deviation of the actually executed function status of the area from the phenomenon represented in both static and dynamic aspects, and calculating the minimum value of the cost function, wherein the formula of the cost function is as follows:
wherein, R represents the total number of regions,representative region r i The true functional distribution of (a), is also the final requirement,representative region r j POI distribution status of (1);
s4: mining co-occurrence events of the data divided in the step S2 through an association rule mining algorithm
S4.1: carrying out co-occurrence transaction extraction on the data in the step S2;
s4.2: mining a frequent item set of the data extracted in the S4.1 through an association rule Apriori algorithm;
s4.3: and (4) carrying out correlation statistic calculation on the data obtained in the step (S4.2), wherein the support degree and confidence degree of each correlation statistic between the region A and the region B, the full confidence all _ confidence, the maximum confidence max _ confidence, the lift, the Kulczynski metric Kulc, the imbalance ratio IR, and the cosine calculation formula are as follows, where P represents the probability:
support=P(A∪B)
s5: visualization display co-occurrence result
S5.1: according to the regional function graph obtained by calculation in S3.7, different regional functions are marked on the map by using different colors;
s5.2: drawing a global co-occurrence map according to the frequent item set mined in the S4.2, wherein the map is drawn based on two aspects of co-occurrence relation and co-occurrence participation;
s5.3: drawing an area co-occurrence annular heat map according to the frequent item set mined in the S4.2, wherein the annular heat map focuses on analyzing the co-occurrence rule between areas;
s5.4: and drawing a parallel coordinate graph according to the statistic data obtained by calculation in the S4.3, wherein the parallel coordinate graph measures the correlation between the two areas by indexes.
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Cited By (18)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108332766A (en) * 2018-01-28 2018-07-27 武汉光庭信息技术股份有限公司 A kind of dynamic fusion method and system for planning of multi-source road network
CN109543876A (en) * 2018-10-17 2019-03-29 天津大学 A kind of visual analysis method of urban issues
CN109657703A (en) * 2018-11-26 2019-04-19 浙江大学城市学院 Listener clustering method based on space-time data track characteristic
CN109902934A (en) * 2019-01-29 2019-06-18 特斯联(北京)科技有限公司 City personnel's compartmentalization based on multi-source big data is deployed to ensure effective monitoring and control of illegal activities management method and system
CN110298500A (en) * 2019-06-19 2019-10-01 大连理工大学 A kind of urban transportation track data set creation method based on taxi car data and city road network
CN110766589A (en) * 2019-10-28 2020-02-07 电子科技大学 Method for deducing city function based on communication data and interest point data
CN110909262A (en) * 2019-11-29 2020-03-24 北京明略软件系统有限公司 Method and device for determining companion relationship of identity information
CN111354197A (en) * 2018-12-24 2020-06-30 北京嘀嘀无限科技发展有限公司 Method and equipment for dividing traffic subareas and time periods
CN112131285A (en) * 2020-10-22 2020-12-25 云南电网有限责任公司电力科学研究院 A method and device for mining association rules of dynamic time series data
CN112699284A (en) * 2021-01-11 2021-04-23 四川大学 Bus stop optimization visualization method based on multi-source data
CN113378891A (en) * 2021-05-18 2021-09-10 东北师范大学 Urban area relation visual analysis method based on track distribution representation
CN113468416A (en) * 2021-06-15 2021-10-01 深圳市综合交通设计研究院有限公司 Multi-source traffic big data-based resident travel behavior mining algorithm
CN113674122A (en) * 2021-07-22 2021-11-19 华设设计集团股份有限公司 Urban resident travel rule rapid extraction method suitable for high-concurrency travel data
CN114238491A (en) * 2021-12-02 2022-03-25 西北工业大学 A Heterogeneous Graph Based Multimodal Traffic Operation Situation Association Rules Mining Method
CN114742131A (en) * 2022-03-16 2022-07-12 浙江工业大学 Identification method of urban overtourism area based on pattern mining
CN116822798A (en) * 2023-07-06 2023-09-29 北京大学 Regional locality measurement method for urban and rural feature modeling
US11822581B2 (en) 2021-05-19 2023-11-21 Beijing Baidu Netcom Science Technology Co., Ltd. Region information processing method and apparatus
CN117575298A (en) * 2024-01-16 2024-02-20 华侨大学 An intercity carpooling order scheduling method, device and equipment based on association rules

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20050080601A1 (en) * 2003-10-10 2005-04-14 Wren Christopher R. Traffic and geometry modeling with sensor networks
CN106384128A (en) * 2016-09-09 2017-02-08 西安交通大学 Method for mining time series data state correlation
CN106649651A (en) * 2016-12-12 2017-05-10 大连理工大学 Transportation co-occurrence phenomenon visualized analysis method based on taxi trajectory data

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20050080601A1 (en) * 2003-10-10 2005-04-14 Wren Christopher R. Traffic and geometry modeling with sensor networks
CN106384128A (en) * 2016-09-09 2017-02-08 西安交通大学 Method for mining time series data state correlation
CN106649651A (en) * 2016-12-12 2017-05-10 大连理工大学 Transportation co-occurrence phenomenon visualized analysis method based on taxi trajectory data

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
W. WU ET AL.: "TelCoVis: Visual exploration of co-occurrence in urban human mobility based on telco data", 《IEEE TRANS. VIS. COMPUT. GRAPHICS》 *

Cited By (27)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108332766A (en) * 2018-01-28 2018-07-27 武汉光庭信息技术股份有限公司 A kind of dynamic fusion method and system for planning of multi-source road network
CN108332766B (en) * 2018-01-28 2020-09-15 武汉光庭信息技术股份有限公司 Dynamic fusion planning method and system for multi-source road network
CN109543876A (en) * 2018-10-17 2019-03-29 天津大学 A kind of visual analysis method of urban issues
CN109657703A (en) * 2018-11-26 2019-04-19 浙江大学城市学院 Listener clustering method based on space-time data track characteristic
CN109657703B (en) * 2018-11-26 2023-04-07 浙江大学城市学院 Crowd classification method based on space-time data trajectory characteristics
CN111354197A (en) * 2018-12-24 2020-06-30 北京嘀嘀无限科技发展有限公司 Method and equipment for dividing traffic subareas and time periods
CN109902934A (en) * 2019-01-29 2019-06-18 特斯联(北京)科技有限公司 City personnel's compartmentalization based on multi-source big data is deployed to ensure effective monitoring and control of illegal activities management method and system
CN110298500B (en) * 2019-06-19 2022-11-08 大连理工大学 Urban traffic track data set generation method based on taxi data and urban road network
CN110298500A (en) * 2019-06-19 2019-10-01 大连理工大学 A kind of urban transportation track data set creation method based on taxi car data and city road network
CN110766589A (en) * 2019-10-28 2020-02-07 电子科技大学 Method for deducing city function based on communication data and interest point data
CN110909262A (en) * 2019-11-29 2020-03-24 北京明略软件系统有限公司 Method and device for determining companion relationship of identity information
CN110909262B (en) * 2019-11-29 2022-10-25 北京明略软件系统有限公司 Method and device for determining companion relationship of identity information
CN112131285B (en) * 2020-10-22 2024-06-21 云南电网有限责任公司电力科学研究院 Association rule mining method and device for dynamic time sequence data
CN112131285A (en) * 2020-10-22 2020-12-25 云南电网有限责任公司电力科学研究院 A method and device for mining association rules of dynamic time series data
CN112699284A (en) * 2021-01-11 2021-04-23 四川大学 Bus stop optimization visualization method based on multi-source data
CN113378891B (en) * 2021-05-18 2022-03-29 东北师范大学 Urban area relation visual analysis method based on track distribution representation
CN113378891A (en) * 2021-05-18 2021-09-10 东北师范大学 Urban area relation visual analysis method based on track distribution representation
US11822581B2 (en) 2021-05-19 2023-11-21 Beijing Baidu Netcom Science Technology Co., Ltd. Region information processing method and apparatus
CN113468416A (en) * 2021-06-15 2021-10-01 深圳市综合交通设计研究院有限公司 Multi-source traffic big data-based resident travel behavior mining algorithm
CN113674122A (en) * 2021-07-22 2021-11-19 华设设计集团股份有限公司 Urban resident travel rule rapid extraction method suitable for high-concurrency travel data
CN114238491A (en) * 2021-12-02 2022-03-25 西北工业大学 A Heterogeneous Graph Based Multimodal Traffic Operation Situation Association Rules Mining Method
CN114238491B (en) * 2021-12-02 2024-02-13 西北工业大学 Heterogeneous graph-based multi-mode traffic operation situation association rule mining method
CN114742131A (en) * 2022-03-16 2022-07-12 浙江工业大学 Identification method of urban overtourism area based on pattern mining
CN116822798A (en) * 2023-07-06 2023-09-29 北京大学 Regional locality measurement method for urban and rural feature modeling
CN116822798B (en) * 2023-07-06 2024-03-29 北京大学 Regional locality measurement method for urban and rural feature modeling
CN117575298A (en) * 2024-01-16 2024-02-20 华侨大学 An intercity carpooling order scheduling method, device and equipment based on association rules
CN117575298B (en) * 2024-01-16 2024-04-30 华侨大学 Inter-city carpooling order scheduling method, device and equipment based on association rule

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