2021
DOI: 10.3390/rs13193922
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The Total Operating Characteristic from Stratified Random Sampling with an Application to Flood Mapping

Abstract: The Total Operating Characteristic (TOC) measures how the ranks of an index variable distinguish between presence and absence in a binary reference variable. Previous methods to generate the TOC required the reference data to derive from a census or a simple random sample. However, many researchers apply stratified random sampling to collect reference data because stratified random sampling is more efficient than simple random sampling for many applications. Our manuscript derives a new methodology that uses s… Show more

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Cited by 15 publications
(6 citation statements)
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“…Through our results for the typical semantic segmentation networks with different structures, we verified the generalizability and effectiveness of the multiclass complexitybased optimal sampling method. Previous studies [44,53,54,80,81] have shown that the stratified sampling method can obtain training samples from different strata (regions), potentially improving the level of classification accuracy. However, the performance improvement in these studies depended on correctly stratifying (partitioning) the data, as there is no quantified standard indicator to measure the contribution of stratification to performance, and many have overlooked the significant contribution of each individual sample to the model's generalization capability for prediction.…”
Section: Discussionmentioning
confidence: 99%
“…Through our results for the typical semantic segmentation networks with different structures, we verified the generalizability and effectiveness of the multiclass complexitybased optimal sampling method. Previous studies [44,53,54,80,81] have shown that the stratified sampling method can obtain training samples from different strata (regions), potentially improving the level of classification accuracy. However, the performance improvement in these studies depended on correctly stratifying (partitioning) the data, as there is no quantified standard indicator to measure the contribution of stratification to performance, and many have overlooked the significant contribution of each individual sample to the model's generalization capability for prediction.…”
Section: Discussionmentioning
confidence: 99%
“…It would be worth investigating and implementing a variety of statistical machine learning or deep learning approaches in the lulcc package in the future, such as the mixed effects model, ensemble learning or a variant of neural networks with several tuning hyperparameters to obtain the optimal performance. The final step is to validate the model using the Total Operating Characteristic (TOC) created by Liu et al (2021) to substitute the popular ROC that claims to offer more information and a distinct interpretation.…”
Section: Discussionmentioning
confidence: 99%
“…Compared with ROC, TOC can provide more useful information in adopting the same data and graphics space [ 59 , 60 ]. TOC software is available from (accessed on 30 October 2021) [ 61 ]. Making the TOC for each category is based on the expensed Boolean map and gain probability map.…”
Section: Methodsmentioning
confidence: 99%
“…TOC software is available from https://lazygis. github.io/projects/TOCCurveGenerator (accessed on 30 October 2021) [61]. Making the TOC for each category is based on the expensed Boolean map and gain probability map.…”
Section: Validationmentioning
confidence: 99%