Analysis of Spatial and Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 Data

Hickok, Abigail; Needell, Deanna; Porter, Mason A.

doi:10.48550/arxiv.2107.09188

Cited by 2 publications

(3 citation statements)

References 30 publications

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“…Since its development, PH has been applied in a multitude of fields, such as the identification of cancer cells in medical imagery, e.g., [19,20], characterizing porous material, e.g., [21,22], collective behavior in biology, e.g., [23], and comparing musical pieces [24]. More recently, researchers have also realized the use of PH as an automatic detection tool for geospatial objects in the geosciences, e.g., [25,26], the social sciences, e.g., [27][28][29], and transportation [30]. We hypothesized that the PH analysis of satellite imagery can draw attention to surface features related to O&G wells.…”

Section: Introductionmentioning

confidence: 99%

Harnessing Machine Learning and Data Fusion for Accurate Undocumented Well Identification in Satellite Images

Kadeethum,

Downs

2024

Remote Sensing

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This study utilizes satellite data to detect undocumented oil and gas wells, which pose significant environmental concerns, including greenhouse gas emissions. Three key findings emerge from the study. Firstly, the problem of imbalanced data is addressed by recommending oversampling techniques like Rotation–GaussianBlur–Solarization data augmentation (RGS), the Synthetic Minority Over-Sampling Technique (SMOTE), or ADASYN (an extension of SMOTE) over undersampling techniques. The performance of borderline SMOTE is less effective than that of the rest of the oversampling techniques, as its performance relies heavily on the quality and distribution of data near the decision boundary. Secondly, incorporating pre-trained models trained on large-scale datasets enhances the models’ generalization ability, with models trained on one county’s dataset demonstrating high overall accuracy, recall, and F1 scores that can be extended to other areas. This transferability of models allows for wider application. Lastly, including persistent homology (PH) as an additional input improves performance for in-distribution testing but may affect the model’s generalization for out-of-distribution testing. A careful consideration of PH’s impact on overall performance and generalizability is recommended. Overall, this study provides a robust approach to identifying undocumented oil and gas wells, contributing to the acceleration of a net-zero economy and supporting environmental sustainability efforts.

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Section: Introductionmentioning

confidence: 99%

Harnessing Machine Learning and Data Fusion for Accurate Undocumented Well Identification in Satellite Images

Kadeethum,

Downs

2024

Remote Sensing

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“…Stolz et al [31] used PH to examine the geospatial distribution of voting results in the "Brexit" referendum. Hickok et al [21] used PH to study geospatial anomalies in COVID-19 case-rate data (see also [13]) and vaccination-rate data.…”

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confidence: 99%

“…The simplicial complex K i has the associated filtration-parameter value i. [This figure appeared originally in [21]. ]…”

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confidence: 99%

Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites

Hickok¹,

Jarman²,

Johnson³

et al. 2022

Preprint

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It is important to choose the geographical distribution of public resources in a fair and equitable manner. However, it is complicated to quantify the equity of such a distribution; important factors include distances to resource sites, availability of transportation, and ease of travel. In this paper, we use persistent homology, which is a tool from topological data analysis, to study the effective availability and coverage of polling sites. The information from persistent homology allows us to infer holes in the distribution of polling sites. We analyze and compare the coverage of polling sites in Los Angeles County and five cities (Atlanta, Chicago, Jacksonville, New York City, and Salt Lake City), and we conclude that computation of persistent homology appears to be a reasonable approach to analyzing resource coverage.

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Analysis of Spatial and Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 Data

Cited by 2 publications

References 30 publications

Harnessing Machine Learning and Data Fusion for Accurate Undocumented Well Identification in Satellite Images

Harnessing Machine Learning and Data Fusion for Accurate Undocumented Well Identification in Satellite Images

Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites

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