Mining regional co-location patterns with kNNG

Spatial co-location pattern mining discovers the subsets of features of which the events are frequently located together in geographic space. The current research on this topic adopts a distance threshold that has limitations in spatial data sets with various magnitudes of neighborhood distances, especially for mining of regional co-location patterns. In this paper, we propose a hierarchical co-location mining framework accounting for both variety of neighborhood distances and spatial heterogeneity. By adopting k-nearest neighbor graph (kNNG) instead of distance threshold, we propose “distance variation coefficient” as a new measure to drive the mining operations and determine an individual neighborhood relationship graph for each region. The proposed mining algorithm outputs a set of regions with each of them an individual set of regional co-location patterns. The experimental results on both synthetic and real world data sets show that our framework is effective to discover these regional co-location patterns.     

Spatial co-location pattern discovery without thresholds

Spatial co-location pattern mining discovers the subsets of features whose events are frequently located together in geographic space. The current research on this topic adopts a threshold-based approach that requires users to specify in advance the thresholds of distance and prevalence. However, in practice, it is not easy to specify suitable thresholds. In this article, we propose a novel iterative mining framework that discovers spatial co-location patterns without predefined thresholds. With the absolute and relative prevalence of spatial co-locations, our method allows users to iteratively select informative edges to construct the neighborhood relationship graph until every significant co-location has enough confidence and eventually to discover all spatial co-location patterns. The experimental results on real world data sets indicate that our framework is effective for prevalent co-locations discovery.     

A framework of spatial co-location pattern mining for ubiquitous GIS

A spatial co-location pattern represents relationships between spatial features that are frequently located in close proximity to one another. Such a pattern is one of the most important concepts for geographic context awareness of ubiquitous Geographic Information System (GIS). We constructed a framework for co-location pattern mining using the transaction-based approach, which employs maximal cliques as a transaction-type dataset; we first define transaction-type data and verify that the definition satisfies the requirements, and we also propose an efficient way to generate all transaction-type data. The constructed framework can play a role as a theoretical methodology of co-location pattern mining, which supports geographic context awareness of ubiquitous GIS.     

Mining Co-Location Patterns with Rare Events from Spatial Data Sets

A co-location pattern is a group of spatial features/events that are frequently co-located in the same region. For example, human cases of West Nile Virus often occur in regions with poor mosquito control and the presence of birds. For co-location pattern mining, previous studies often emphasize the equal participation of every spatial feature. As a result, interesting patterns involving events with substantially different frequency cannot be captured. In this paper, we address the problem of mining co-location patterns with rare spatial features. Specifically, we first propose a new measure called the maximal participation ratio (maxPR) and show that a co-location pattern with a relatively high maxPR value corresponds to a co-location pattern containing rare spatial events. Furthermore, we identify a weak monotonicity property of the maxPR measure. This property can help to develop an efficient algorithm to mine patterns with high maxPR values. As demonstrated by our experiments, our approach is effective in identifying co-location patterns with rare events, and is efficient and scalable for large-scale data sets.

On discovering co-location patterns in datasets: a case study of pollutants and child cancers

We intend to identify relationships between cancer cases and pollutant emissions by proposing a novel co-location mining algorithm. In this context, we specifically attempt to understand whether there is a relationship between the location of a child diagnosed with cancer with any chemical combinations emitted from various facilities in that particular location. Co-location pattern mining intends to detect sets of spatial features frequently located in close proximity to each other. Most of the previous works in this domain are based on transaction-free apriori-like algorithms which are dependent on user-defined thresholds, and are designed for boolean data points. Due to the absence of a clear notion of transactions, it is nontrivial to use association rule mining techniques to tackle the co-location mining problem. Our proposed approach is focused on a grid based transactionization? of the geographic space, and is designed to mine datasets with extended spatial objects. It is also capable of incorporating uncertainty of the existence of features to model real world scenarios more accurately. We eliminate the necessity of using a global threshold by introducing a statistical test to validate the significance of candidate co-location patterns and rules. Experiments on both synthetic and real datasets reveal that our algorithm can detect a considerable amount of statistically significant co-location patterns. In addition, we explain the data modelling framework which is used on real datasets of pollutants (PRTR/NPRI) and childhood cancer cases.     

CPM-MCHM:一种基于极大团和哈希表的空间并置模式挖掘算法

空间并置(co-location)模式挖掘是指在大量的空间数据中发现一组空间特征的子集,这些特征的实例在地理空间中频繁并置出现.传统的空间并置模式挖掘算法通常采用逐阶递增的挖掘框架,从低阶模式开始生成候选模式并计算其参与度(空间并置模式的频繁性度量指标).虽然这种挖掘框架可以得到正确和完整的结果,但是带来的时间和空间开...     

空间 co-location 模式挖掘算法研究综述

空间co-location模式代表的是一组空间特征的子集,它们的实例在空间中频繁的关联。它是空间数据挖掘的一个重要研究方向。首先给出co-location模式的基本概念;然后描述了针对不同数据领域提出的各种算法,并重点分析了算法提出的思路及主要特点;最后对Co-location模式挖掘未来的研究方向作了探讨。     

A Road Network Embedding Technique for K-Nearest Neighbor Search in Moving Object Databases

A very important class of queries in GIS applications is the class of K-nearest neighbor queries. Most of the current studies on the K-nearest neighbor queries utilize spatial index structures and hence are based on the Euclidean distances between the points. In real-world road networks, however, the shortest distance between two points depends on the actual path connecting the points and cannot be computed accurately using one of the Minkowski metrics. Thus, the Euclidean distance may not properly approximate the real distance. In this paper, we apply an embedding technique to transform a road network to a high dimensional space in order to utilize computationally simple Minkowski metrics for distance measurement. Subsequently, we extend our approach to dynamically transform new points into the embedding space. Finally, we propose an efficient technique that can find the actual shortest path between two points in the original road network using only the embedding space. Our empirical experiments indicate that the Chessboard distance metric (L) in the embedding space preserves the ordering of the distances between a point and its neighbors more precisely as compared to the Euclidean distance in the original road network.     

空间极大co-location模式挖掘研究

空间co-location模式代表了一组空间特征的子集,它们的实例在空间中频繁地关联。挖掘空间co-location模式的研究已经有很多,但是针对极大co-location模式挖掘的研究非常少。提出了一种新颖的空间极大co-location模式挖掘算法。首先扫描数据集得到二阶频繁模式,然后将二阶频繁模式转换为图,再通过极大团算法求解得到空间特征极大团,最后使用二阶频繁模式的表实例验证极大团得到空间极大co-location频繁模式。实验表明,该算法能够很好地挖掘空间极大co-location频繁模式。     

实例位置模糊的空间co-location模式挖掘研究

实例位置模糊在许多领域里都有着非常重要的应用,比如生物医学图像数据库和地理信息系统(geographic information system,GIS)。研究了实例位置模糊的空间co-location模式挖掘问题。定义了实例位置模糊的空间co-location模式挖掘的相关概念,包括实例位置模糊、位置参与率等;给出了基本算法来挖掘实例位置模糊的co-location模式;提出了两种改进算法,即基于网格的距离计算和减枝候选模式,以提高挖掘性能,加快co-location规则的产生。通过大量的实验,说明了基本算法及其改进算法的效果和效率。     

Join-based算法在Matlab中的实现

Join-based算法是一种著名的空间co-location模式挖掘算法,co-location模式代表的是一组空间特征的子集,它们的实例在空间中频繁的关联。首先描述了Join-based算法的工作原理,然后以挖掘三江并流珍希植物的共生物种问题为例利用matlab进行了程序实现,给出了运行的最优结果。     

带邻近作用的高增益率co-location模式挖掘

大多数空间co-location模式挖掘将距离阈值作为衡量不同对象实例间邻近关系的标准,进而挖掘出频繁co-location模式,并没有考虑具有邻近关系的实例间的相互影响和模式的增益率问题。在空间co-location模式挖掘过程中,引入实例间的相互作用率和对象的季均收益,定义了对象作用率、套间总收益和增益率等概念,并提出挖掘高增益率co-location模式的基础算法（NAGA）和有效的剪枝算法（NAGA_JZ）。最后通过大量的实验来验证基础算法的正确性和实用性,并对基础算法和剪枝算法的挖掘效率进行了对比,验证了剪枝算法的高效性。     

An order-clique-based approach for mining maximal co-locations

Most algorithms for mining spatial co-locations adopt an Apriori-like approach to generate size-k prevalence co-locations after size-(k − 1) prevalence co-locations. However, generating and storing the co-locations and table instances is costly. A novel order-clique-based approach for mining maximal co-locations is proposed in this paper. The efficiency of the approach is achieved by two techniques: (1) the spatial neighbor relationships and the size-2 prevalence co-locations are compressed into extended prefix-tree structures, which allows the order-clique-based approach to mine candidate maximal co-locations and co-location instances; and (2) the co-location instances do not need to be stored after computing some characteristics of the corresponding co-location, which significantly reduces the execution time and space required for mining maximal co-locations. The performance study shows that the new method is efficient for mining both long and short co-location patterns, and is faster than some other methods (in particular the join-based method and the join-less method).     

含关键特征的显著Co-location模式挖掘研究

空间Co-location模式是一组在空间中频繁并置的空间特征的子集。空间Co-location模式挖掘通常假设空间实例之间相互独立,然而,在实际应用中,不同空间特征、不同实例之间往往相互作用或依赖。空间Co-location关键特征是指对模式具有主导作用的特征。在频繁模式中,识别含关键特征的Co-location模式并摘取模式中的关键特征,为用户提供更精简的挖掘结果,提高Co-location模式的可用性,对Co-location模式挖掘具有重要意义。本文首先定义了含有关键特征的显著频繁Co-location模式新概念,以及一系列度量指标以识别显著频繁Co-location模式中的关键特征;其次,给出了一个挖掘显著频繁Co-location模式和关键特征的算法;最后,在模拟和真实数据集上进行了大量的实验,验证了所提出算法的效果及性能。     

空间co-location模式增量挖掘及演化分析

空间co-location模式挖掘是空间数据挖掘的一个重要研究方向.空间co-location模式是空间对象的一个子集,它们的实例在空间中频繁关联.到目前为止,空间co-location模式挖掘都只关注某一个时刻的空间co-location模式.然而,在实际应用中,数据库中的数据是随着时间改变的,所以高效地增量挖掘空间co-location模式是非常必要的;空间co-location模式演化分析可以发现空间co-location模式的变化规律,预测特定事件的发生,但是对这些问题的研究并未见诸报道.研究了高效的空间co-location模式增量挖掘及空间co-location模式的演化分析,首先,提出了高效的空间co-location模式增量挖掘基本算法及剪枝算法.其次,在多个随时间变化的真实数据集上挖掘co-location演化模式.再次,证明了空间co-location模式增量挖掘基本算法及剪枝算法是正确的和完备的.最后,在"模拟+真实"的数据集上用充分的实验验证了增量挖掘基本算法的性能以及剪枝算法的剪枝效果.此外,把空间co-location增量挖掘基本算法、剪枝算法及演化模式挖掘算法应用到三江并流区域珍稀植物数据集上,增量挖掘出空间co-location模式及演化模式,预测了co-location模式的演化规律,更好地实现了对珍稀植物的动态跟踪和保护.     

空间co-location模式挖掘中的模糊技术初探

空间并置（co-location）模式是指其特征的实例在地理空间中频繁并置出现的一组空间特征的集合。传统co-location模式挖掘通常由用户给定一个邻近阈值来确定实例的邻近关系，使用单一的邻近阈值来判定两个空间实例的邻近性可能会造成邻近关系的缺失，也没有考虑距离大小的不同对邻近关系的影响。同时，传统方法主要利用频繁性阈值来衡量模式的频繁性，存在着算法效率对频繁性阈值较为敏感的问题。由于频繁并置的特征间具有较高的邻近度，因此利用聚类算法可以将其聚集在一起，加之邻近以及特征间的并置都是模糊的概念，因此将模糊集理论与聚类算法相结合，研究了空间co-location模式挖掘中的模糊挖掘技术，在定义模糊邻近关系的基础上，定义了度量特征之间邻近度的函数，基于特征邻近度利用模糊聚类算法挖掘co-location模式，最后通过广泛的实验验证了提出方法的实用性、高效性及鲁棒性。     

Mining spatial colocation patterns: a different framework

Recently, there has been considerable interest in mining spatial colocation patterns from large spatial datasets. Spatial colocation patterns represent the subsets of spatial events whose instances are often located in close geographic proximity. Most studies of spatial colocation mining require the specification of two parameter constraints to find interesting colocation patterns. One is a minimum prevalent threshold of colocations, and the other is a distance threshold to define spatial neighborhood. However, it is difficult for users to decide appropriate threshold values without prior knowledge of their task-specific spatial data. In this paper, we propose a different framework for spatial colocation pattern mining. To remove the first constraint, we propose the problem of finding N-most prevalent colocated event sets, where N is the desired number of colocated event sets with the highest interest measure values per each pattern size. We developed two alternative algorithms for mining the N-most patterns. They reduce candidate events effectively and use a filter-and-refine strategy for efficiently finding colocation instances from a spatial dataset. We prove the algorithms are correct and complete in finding the N-most prevalent colocation patterns. For the second constraint, a distance threshold for spatial neighborhood determination, we present various methods to estimate appropriate distance bounds from user input data. The result can help an user to set a distance for a conceptualization of spatial neighborhood. Our experimental results with real and synthetic datasets show that our algorithmic design is computationally effective in finding the N-most prevalent colocation patterns. The discovered patterns were different depending on the distance threshold, which shows that it is important to select appropriate neighbor distances.     

k-近邻关系下的空间高效用核模式挖掘

空间数据挖掘旨在从空间数据库中发现和提取有价值的潜在知识.空间co-location(共存)模式挖掘一直以来都是空间数据挖掘领域的重要研究方向之一,其目的 是发现一组频繁邻近出现的空间特征子集,而空间高效用co-location模式挖掘则考虑了特征的效用属性.二者在度量空间实例的邻近关系时一般都需要预先给定一个距离阈值...     

空间亚频繁co-location模式的主导特征挖掘

空间co-location模式是一组空间特征的子集,它们的实例在邻域内频繁并置出现。通常,空间co-location模式挖掘方法假设空间实例相互独立,并采用空间实例参与到模式实例的频繁性（参与率）来度量空间特征在模式中的重要性,采用空间特征的最小参与率（参与度）来度量模式的有趣程度,忽略了空间特征间的某些重要关系。因此为了揭示空间特征间的主导关系而提出主导特征co-location模式。现有主导特征模式挖掘方法是基于传统频繁模式及其团实例模型进行挖掘,然而,团实例模型可能会忽略非团的空间特征间的主导关系。因此,基于星型实例模型,研究空间亚频繁co-location模式的主导特征挖掘,以更好地揭示空间特征间的主导关系,挖掘更有价值的主导特征模式。首先,定义了两个度量特征主导性的指标;其次,设计了有效的主导特征co-location模式挖掘算法;最后,在合成数据集和真实数据集上通过大量实验验证了所提算法的有效性以及主导特征模式的实用性。     

Anonymous Query Processing in Road Networks

The increasing availability of location-aware mobile devices has given rise to a flurry of location-based services (LBSs). Due to the nature of spatial queries, an LBS needs the user position in order to process her requests. On the other hand, revealing exact user locations to a (potentially untrusted) LBS may pinpoint their identities and breach their privacy. To address this issue, spatial anonymity techniques obfuscate user locations, forwarding to the LBS a sufficiently large region instead. Existing methods explicitly target processing in the euclidean space and do not apply when proximity to the users is defined according to network distance (e.g., driving time through the roads of a city). In this paper, we propose a framework for anonymous query processing in road networks. We design location obfuscation techniques that: 1) provide anonymous LBS access to the users and 2) allow efficient query processing at the LBS side. Our techniques exploit existing network database infrastructure, requiring no specialized storage schemes or functionalities. We experimentally compare alternative designs in real road networks and demonstrate the effectiveness of our techniques.