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Binary Spatial Random Field Reconstruction from Non-Gaussian Inhomogeneous Time-series Observations

Paper

The paper can be accessed on ArXiv: https://arxiv.org/abs/2204.03343.

Dataset

The weather dataset from NEA Singapore for the real-world experiments was retrived from https://data.gov.sg/search?groups=environment on 7 Jan 2022.

The Singapore boundary file (.shp) was retrieved from https://maps.princeton.edu/catalog/stanford-pg798kr1205 on 20 Jan 2022.

Experiment

Multiple expriments have been conducted to validate our algorithms. In the synthetic_experiment.m, we create a synthetic dataset of sensor network depolyed in R^2 with 2500 spatial locations over the simplex [-5,5] x [-5,5]. At each sensor location, based on the value of the spatial field, a sequence of point/integral observations is generated from either H0 or H1.

Based on the sensor type, each sensor perfroms WGPLRT or NLRT to make the local inference, i.e. to classify H0/H1. Then, SBLUE is used to reconstruct the binary spatial field at locations where no sensors are placed.

In the semi_synthetic_experiment.m, the experiments are performed based on a real dataset from NEA Singapore.

To test the efficacy of individual algorithms, we also conduct experiments on WGPLRT, NLRT, SBLUE respectively. See test_WGPLRT.m,test_NLRT.m,test_SBLUE.m.

Results

Please refer to the paper for the detailed results.

No. Description Code
1 Synthetic Experiments src
1 Real-world Experiments src
2 Test for WGPLRT src
3 Test for NLRT src
4 Test for SBLUE src

Disclaimer

During the implementation of the codes, we use the GPML package provided by Carl Edward Rasmussen & Hannes Nickisch, which is accessible on http://gaussianprocess.org/gpml/code/matlab/doc/.

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