SPAWNN: A Toolkit for SPatial Analysis With Self‐Organizing Neural Networks

This article introduces the SPAWNN toolkit, an innovative toolkit for spatial analysis with self‐organizing neural networks, which is published as free and open‐source software ( http://www.spawnn.org ). It extends existing toolkits in three important ways. First, the SPAWNN toolkit distinguishes between self‐organizing neural networks and spatial context models with which the networks can be combined to incorporate spatial dependence and provides implementations for both. This distinction maintains modularity and enables a multitude of useful combinations for analyzing spatial data with self‐organizing neural networks. Second, SPAWNN interactively links different self‐organizing networks and data visualizations in an intuitive manner to facilitate explorative data analysis. Third, it implements cutting‐edge clustering algorithms for identifying clusters in the trained networks. Toolkits such as SPAWNN are particularly needed when researchers and practitioners are confronted with large amounts of complex and high‐dimensional data. The computational performance of the implemented algorithms is empirically demonstrated using high‐dimensional synthetic data sets, while the practical functionality highlighting the distinctive features of the toolkit is illustrated with a case study using socioeconomic data of the city of Philadelphia, Pennsylvania.     

基于地理加权中心节点距离的网络社区发现算法

提出一种基于地理加权中心节点距离的网络社区发现算法（geographical weighted central node distance based Louvain method,GND-Louvain）。该算法扩展了传统复杂网络领域的经典社区发现方法Louvain,利用地理加权中心节点来度量社区发现过程中的空间距离关系,并将此距离衰减效应加入到距离模块度模型中,以此来计算和评估空间网络社区划分结果的质量,并探究了空间社区发现结果不稳定的原因。通过定义节点计算顺序,保证了社区发现结果的质量和稳定性。利用中国铁路网线路数据,设计了5种不同空间约束的空间社区发现对比性实验。结果证明,GND-Louvain算法的准确性最高,并且算法结果最稳定。     

基于自组织神经网络的空间点群聚类及其应用分析

探讨了采用自组织神经网络进行离散空间点群聚类的原理、方法及应用分析,提出了一种兼顾几何距离和属性特征的广义Euclid距离,并将其作为聚类统计量.并以实例验证了采用自组织空间聚类进行空间点群的数据分类、异常数据检验、均质区域划分等是有效的.     

综合聚类和上下文特征的高光谱影像分类

常规高光谱影像逐像素分类往往没有考虑空间相关性,分类结果未体现地物的空间关联和分布特征。为了在分类中充分利用空间特征,利用聚类信息并结合隐马尔可夫随机场模型讨论了高光谱遥感影像光谱-空间分类方法。首先,在不同特征提取方法（最小噪声分离、独立成分分析和主成分分析）下,使用不同聚类方法（k-均值、迭代自组织分析算法和模糊c-均值算法）借助隐马尔可夫随机场获取优化的分割图;然后,采用4连通区域标记法对分割区域标记生成图像对象,并根据支持向量机的逐像素分类结果采用多数投票法对图像对象进行分类;最后,借助凹槽窗口邻域滤波技术改进分类结果,削弱“椒盐”现象。该方法综合了监督分类和非监督分类的优势,通过聚类引入地物空间相关性信息,通过隐马尔可夫随机场引入上下文特征,较好地弥补了单纯基于光谱信息分类的不足。     

空间数据模糊聚类的有效性(英文)

The validity measurement of fuzzy clustering is a key problem. If clustering is formed, it needs a kind of machine to verify its validity. To make mining more accountable, comprehensible and with a usable spatial pattern, it is necessary to first detect whether the data set has a clustered structure or not before clustering. This paper discusses a detection method for clustered patterns and a fuzzy clustering algorithm, and studies the validity function of the result produced by fuzzy clustering based on two aspects, which reflect the uncertainty of classification during fuzzy partition and spatial location features of spatial data, and proposes a new validity function of fuzzy clustering for spatial data. The experimental result indicates that the new validity function can accurately measure the validity of the results of fuzzy clustering. Especially, for the result of fuzzy clustering of spatial data, it is robust and its classification result is better when compared to other indices.     

论空间数据挖掘和知识发现的理论与方法

首先分析了空间数据挖掘和知识发现（SMDKD）的内涵和外延；然后分别研究了用于SDMKD的概率论，证据理论，空间统计学，规则归纳，聚类分析，空间分析，模糊集，云理论，粗集，神经网络，遗传算法，可视化，决策树，空间在线数据挖掘等理论和方法及其进展；最后展望了SDMKD的发展前景。     

Spatial analysis using clustering methods: Evaluating central point and median approaches

Spatial analysis is an important area of research which continues to make major contributions to the exploratory capabilities of geographical information systems. The use and application of classic clustering methods is being pursued as an exploratory approach for the analysis of spatially referenced data. Numerous potential clustering approaches exist, so research assessing the relative differences of these approaches is important. This paper evaluates the median and central points optimization based clustering approaches for use in the context of exploratory spatial data analysis. Functional and visual comparisons using three spatial applications across a range of cluster values are carried out. The empirical results suggest that these two clustering approaches identify very similar groupings. The significance of this finding is that the development of clustering tools for exploratory analysis may be limited to the median based approach given relative computational and solvability considerations. Received: 28 September 1998/Accepted: 9 August 1999     

一种改进的GPS区域叠加滤波算法

GPS时间序列的空间滤波可以提高观测数据的信噪比,有利于获取更高精度的地壳形变信息。区域叠加滤波算法的空间滤波结果随着测站数和空间尺度不同而不同,不利于研究GPS时间序列中的形变信息。为了削弱区域叠加滤波受空间尺度的影响,提出一种不以空间尺度作为约束条件,同时引入相关系数和距离因子的区域叠加滤波算法。采用2010—2017年中国区域260个GPS连续观测站的时间序列展开空间滤波方法的研究,计算结果表明,对比相关性区域叠加滤波算法,考虑GPS时间序列之间的相关系数和距离因子更有利于提取GPS时间序列中的共模误差,且受空间尺度的影响较小。对比3种不同距离因子的区域叠加滤波算法,可知引入距离反比的空间滤波算法可实现更优的空间滤波。采用该方法空间滤波后可使GPS时间序列残差降低30%~40%,GPS速度场精度提高30%~40%。此算法实现了更优的GPS形变场估计,为研究中国区域的地壳运动和其动力学机制提供了可靠的数据基础。     

Discovering Spatial Interaction Communities from Mobile Phone Data

In the age of Big Data, the widespread use of location‐awareness technologies has made it possible to collect spatio‐temporal interaction data for analyzing flow patterns in both physical space and cyberspace. This research attempts to explore and interpret patterns embedded in the network of phone‐call interaction and the network of phone‐users’ movements, by considering the geographical context of mobile phone cells. We adopt an agglomerative clustering algorithm based on a Newman‐Girvan modularity metric and propose an alternative modularity function incorporating a gravity model to discover the clustering structures of spatial‐interaction communities using a mobile phone dataset from one week in a city in China. The results verify the distance decay effect and spatial continuity that control the process of partitioning phone‐call interaction, which indicates that people tend to communicate within a spatial‐proximity community. Furthermore, we discover that a high correlation exists between phone‐users’ movements in physical space and phone‐call interaction in cyberspace. Our approach presents a combined qualitative‐quantitative framework to identify clusters and interaction patterns, and explains how geographical context influences communities of callers and receivers. The findings of this empirical study are valuable for urban structure studies as well as for the detection of communities in spatial networks.     

基于MRF随机场的多光谱遥感影像最优化分级聚类

有限混合模型FM的分级聚类已广泛应用于不同领域,然而,由于它的计算复杂度与观测数据量平方成正比,致使在遥感影像方面应用受到了限制。另外,多光谱图像能提供空间和光谱两类信息详细的数据,但是,大多数多光谱图像聚类方法是基于像素的聚类,仅使用了其光谱信息而忽视了空间信息。本文定义一个相对混合密度函数,通过引入一个q-参数来调节各成分密度对其混合分布的贡献,提出一种广义有限混合模型GFM．设计一种新的适用于多光谱遥感影像的GFM分级聚类算法。该算法把MRF随机场和GFM模型结合在了一起,分类数通过PLIC准则自动确定。最后,利用仿真结果验证该算法的有效性,同时通过与K均值聚类、FM分级聚类以及SVMM分级聚类的比较说明本文算法的优越性。     

一种保持光谱特征的图像融合方法——高通滤波融合法

探讨了一种新的光谱保持型的高通滤波融合(HPFF)算法。该算法先对参与融合的全色波段图像进行高通滤波,然后用滤波后的全色波段图像替换IHS正变换后的强度分量,再进行IHS逆变换,便得到HPFF融合图像。该图像色彩与TM图像一致,优于常规IHS变换法所得的图像。     

顾及兴趣点潜在上下文关系的城市功能区识别

城市功能结构的探索对人们理解城市及城市规划有着重要的作用。兴趣点(point of interest,POI)数据作为城市设施的代表,被广泛应用于城市功能区提取。以往对城市功能区研究大多只考虑了POI统计信息,忽略了POI中丰富的空间分布信息,而POI空间分布特征与区域功能密切相关。本文利用空间共位模式挖掘方法挖掘POI潜在上下文关系,提取POI空间分布信息,构建区域特征向量,并进行区域聚类;再利用POI类别比例、居民的出行特征等对聚类结果进行识别。以北京市核心城市功能区为例,将研究结果与北京市百度地图、居民出行特征进行对比验证分析。试验表明,本文方法能识别出具有明显特征的城市功能区,如成熟的娱乐商业区、科教文化区、居住区等。同时,与基于POI语义信息的LDA方法及顾及POI线性空间关系的Word2Vec方法进行对比分析,证明了本文方法的优越性。     

基于MRF随机场和广义混合模型的遥感图像分级聚类

有限混合模型FM的分级聚类已广泛应用于不同领域,然而,它的计算复杂度与观测数据的平方成正比,因此,在海量数据方面的应用就受到了限制。另一方面,多光谱图像数据中同时包含有空间和光谱两类信息,但大多数基于像素的多光谱图像聚类方法,仅使用了其频谱信息而忽视了空间信息。本文提出了一种新的基于广义有限混合模型GFM的分级聚类方法,该算法把MRF随机场和GFM模型结合在一起,分类数可以通过PLIC准则自动确定。算法在执行过程中,采用K均值聚类方式获得过分类图像,分级聚类从过分类图像开始,代替原来从单点类开始的方式,这样可以方便获取GFM模型成分密度的初始参数。最后,采用由Gibbs采样器生成的仿真测试图对算法的精度进行了定量评价,通过与K均值聚类和FM聚类的比较说明了本文算法的优越性,同时用荷兰Flevoland农业地区的极化SAR图像验证了本文算法的有效性。     

Geographically weighted elastic net logistic regression

This paper develops a localized approach to elastic net logistic regression, extending previous research describing a localized elastic net as an extension to a localized ridge regression or a localized lasso. All such models have the objective to capture data relationships that vary across space. Geographically weighted elastic net logistic regression is first evaluated through a simulation experiment and shown to provide a robust approach for local model selection and alleviating local collinearity, before application to two case studies: county-level voting patterns in the 2016 USA presidential election, examining the spatial structure of socio-economic factors associated with voting for Trump, and a species presence–absence data set linked to explanatory environmental and climatic factors at gridded locations covering mainland USA. The approach is compared with other logistic regressions. It improves prediction for the election case study only which exhibits much greater spatial heterogeneity in the binary response than the species case study. Model comparisons show that standard geographically weighted logistic regression over-estimated relationship non-stationarity because it fails to adequately deal with collinearity and model selection. Results are discussed in the context of predictor variable collinearity and selection and the heterogeneities that were observed. Ongoing work is investigating locally derived elastic net parameters.     

A Doubly Weighted Approach to Urban Data Disaggregation in GIS: A Case Study of Wuhan, China

Urban models are evolving to require more and more detailed data that in many cases have to be spatially disaggregated from larger zones. This paper deals with the disaggregation of statistical data in an urban context in which land use data are available at a less detailed level. With the availability of land use data, the traditional approach of areal weighting is improved with an areal and land use weighted approach. This weighted approach is further elaborated to include homogeneous weight zones (HWZ) so as to reflect general geographical variations among the same land use type. A case study in Wuhan, China has demonstrated the effectiveness of the doubly weighted approach within the specified context.     

DCT Based Pansharpening of Satellite Images Using Adaptive Linear Model

Remote sensing offers a wide variety of image data with different characteristics in terms of spatial and spectral resolutions. For optical sensor systems, imaging systems have a trade-off between high spatial and high spectral resolution, and no single system offers both. Hence, in the remote sensing application, an image with ‘greater quality’ often means higher spatial and higher spectral resolution. It is, therefore, necessary and very useful to merge images with higher spectral information and higher spatial information. Pansharpening combines spatial information from the high-resolution panchromatic image and color information from multispectral bands to create a high-resolution color image. Here we propose Discrete Cosine Transform (DCT) based pansharpening algorithm using Adaptive Linear model which preserves spectral information from Multispectral image and retains spatial resolution of Panchromatic image.     

利用城市POI数据提取分层地标

为了获取能够用于智能化路径引导的层次性空间知识,提出了一种依据显著度的差异从城市POI数据中提取出分层地标的方法。首先,通过从公众认知、空间分布和个体特征3个方面分析影响POI显著性的因素,构造了包括公众认知度、城市中心度和特征属性值3个指标向量的POI显著性度量模型;然后,分别讨论了利用问卷调查、多密度空间聚类和数据规格化的方法计算POI对象的各项显著性指标值的过程;最后,选择武汉市武昌地区的POI数据进行显著度计算,从中提取显著度较高的对象构成若干层地标,并以各层地标为种子生成加权的Voronoi图,用来反映各地标的空间影响范围并建立了同层和上下层地标之间蕴含的关系。     

时空大数据分布式增量IMSTDCA聚类方法研究

时空聚类分析是对时空大数据进行利用的一种有效手段,目前传统聚类算法存在着大规模分布数据难以处理,海量数据处理时间较长,确定参数困难,聚类质量较差等缺陷。因此,提出一种分布式增量聚类流程DICP,利用广域网分布增量聚类方法,避免大量数据的传输拷贝,有效提升聚类运算效率。对于DICP流程中的时空数据聚类算法本身,研究了一种大数据环境下的IMSTDCA时空数据聚类算法,借助密度聚类的思想,通过时空数据的聚集趋势预分析、时空数据聚类算法,以及时空数据聚类结果评价3个步骤完成聚类分析,实现时空大数据的快速高效信息挖掘。     

Geographically weighted regression‐based determinants of malaria incidences in northern China

Geographically weighted regression (GWR) is an important local method to explore spatial non‐stationarity in data relationships. It has been repeatedly used to examine spatially varying relationships between epidemic diseases and predictors. Malaria, a serious parasitic disease around the world, shows spatial clustering in areas at risk. In this article, we used GWR to explore the local determinants of malaria incidences over a 7‐year period in northern China, a typical mid‐latitude, high‐risk malaria area. Normalized difference vegetation index (NDVI), land surface temperature (LST), temperature difference, elevation, water density index (WDI) and gross domestic product (GDP) were selected as predictors. Results showed that both positively and negatively local effects on malaria incidences appeared for all predictors except for WDI and GDP. The GWR model calibrations successfully depicted spatial variations in the effect sizes and levels of parameters, and also showed substantially improvements in terms of goodness of fits in contrast to the corresponding non‐spatial ordinary least squares (OLS) model fits. For example, the diagnostic information of the OLS fit for the 7‐year average case is R² = 0.243 and AICc = 837.99, while significant improvement has been made by the GWR calibration with R² = 0.800 and AICc = 618.54.     

陆表定量遥感反演方法的发展新动态

随着获取的遥感数据越来越多,定量遥感正处于一个飞速发展的时期。本文从反演方法和遥感数据产品生成两个主要方面对近期陆表定量遥感的发展进行评述。由于大气—陆表系统的环境变量数远远超过遥感观测数,定量遥感反演的本质是个病态反演问题。在评述机器学习方法(包括人工神经网络、支持向量回归、多元自适应回归样条函数等)的应用基础上,重点关注克服病态反演的7种正则化方法:多源数据、先验知识、最优化反演的求解约束、时空约束、多反演算法集成、数据同化和尺度转换。定量遥感发展的另外一个显著特征是由数据提供者(比如数据中心)将观测的遥感数据转换成不同的地球生物物理化学参数产品,即遥感高级产品,并服务于数据使用者。概括介绍了北京师范大学牵头研发的GLASS(Global LAnd Surface Satellite)产品的新进展与全球气候数据集的研发情况。