spatial correlation
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- North America > United States > New Mexico > Bernalillo County > Albuquerque (0.04)
- North America > United States > Minnesota > Olmsted County > Rochester (0.04)
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- Health & Medicine > Therapeutic Area > Neurology (1.00)
- Health & Medicine > Health Care Technology (1.00)
- North America > Trinidad and Tobago > Trinidad > Arima > Arima (0.04)
- North America > Canada > British Columbia > Metro Vancouver Regional District > Vancouver (0.04)
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- North America > United States > California > Alameda County > Berkeley (0.14)
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Spatially Aggregated Gaussian Processes with Multivariate Areal Outputs
We propose a probabilistic model for inferring the multivariate function from multiple areal data sets with various granularities. Here, the areal data are observed not at location points but at regions. Existing regression-based models can only utilize the sufficiently fine-grained auxiliary data sets on the same domain (e.g., a city). With the proposed model, the functions for respective areal data sets are assumed to be a multivariate dependent Gaussian process (GP) that is modeled as a linear mixing of independent latent GPs. Sharing of latent GPs across multiple areal data sets allows us to effectively estimate the spatial correlation for each areal data set; moreover it can easily be extended to transfer learning across multiple domains. To handle the multivariate areal data, we design an observation model with a spatial aggregation process for each areal data set, which is an integral of the mixed GP over the corresponding region. By deriving the posterior GP, we can predict the data value at any location point by considering the spatial correlations and the dependences between areal data sets, simultaneously. Our experiments on real-world data sets demonstrate that our model can 1) accurately refine coarse-grained areal data, and 2) offer performance improvements by using the areal data sets from multiple domains.
Structured Matrix Basis for Multivariate Time Series Forecasting with Interpretable Dynamics
Multivariate time series forecasting is of central importance in modern intelligent decision systems. The dynamics of multivariate time series are jointly characterized by temporal dependencies and spatial correlations. Hence, it is equally important to build the forecasting models from both perspectives. The real-world multivariate time series data often presents spatial correlations that show structures and evolve dynamically. To capture such dynamic spatial structures, the existing forecasting approaches often rely on a two-stage learning process (learning dynamic series representations and then generating spatial structures), which is sensitive to the small time-window input data and has high variance. To address this, we propose a novel forecasting model with a structured matrix basis. At its core is a dynamic spatial structure generation function whose output space is well-constrained and the generated structures have lower variance, meanwhile, it is more expressive and can offer interpretable dynamics. This is achieved via a novel structured parameterization and imposing structure regularization on the matrix basis. The resulting forecasting model can achieve up to $8.5\%$ improvements over the existing methods on six benchmark datasets, and meanwhile, it enables us to gain insights into the dynamics of underlying systems.
- North America > United States > Illinois > Cook County > Chicago (0.06)
- Asia > Japan > Honshū > Kansai > Kyoto Prefecture > Kyoto (0.04)
- North America > United States > California (0.04)
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Graph Attention Network for Predicting Duration of Large-Scale Power Outages Induced by Natural Disasters
Natural disasters such as hurricanes, wildfires, and winter storms have induced large-scale power outages in the U.S., resulting in tremendous economic and societal impacts. Accurately predicting power outage recovery and impact is key to resilience of power grid. Recent advances in machine learning offer viable frameworks for estimating power outage duration from geospatial and weather data. However, three major challenges are inherent to the task in a real world setting: spatial dependency of the data, spatial heterogeneity of the impact, and moderate event data. We propose a novel approach to estimate the duration of severe weather-induced power outages through Graph Attention Networks (GAT). Our network uses a simple structure from unsupervised pre-training, followed by semi-supervised learning. We use field data from four major hurricanes affecting $501$ counties in eight Southeastern U.S. states. The model exhibits an excellent performance ($>93\%$ accuracy) and outperforms the existing methods XGBoost, Random Forest, GCN and simple GAT by $2\% - 15\%$ in both the overall performance and class-wise accuracy.
- North America > United States > Georgia > Fulton County > Atlanta (0.05)
- Asia > China > Hong Kong (0.04)
- Government > Regional Government > North America Government > United States Government (1.00)
- Energy > Power Industry (1.00)
- Asia > China > Heilongjiang Province > Harbin (0.04)
- Asia > China > Guangdong Province > Shenzhen (0.04)
- Pacific Ocean > North Pacific Ocean > San Francisco Bay (0.04)
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- Information Technology > Artificial Intelligence > Representation & Reasoning (1.00)
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- Information Technology > Artificial Intelligence > Machine Learning > Neural Networks > Deep Learning (0.93)
- Information Technology > Data Science > Data Mining (0.65)