Video Imputation and Prediction in Space Weather
Space weather is a branch of space physics concerned with the time varying conditions within the Solar System, including conditions in the magnetosphere, ionosphere, thermosphere, and exosphere. Space weather can have significant effects on humans on Earth as well as in space due to the growing number of satellites in space, power grids on earth, use of Global Positioning Systems (GPS), as well as commuter air travel and space travel. Thus closely monitoring and accurately forecasting space weather conditions and extreme events are very important.
The total electron content (TEC) maps can be used to estimate the signal delay of GPS due to the ionospheric electron content between a receiver and satellite. This delay can result in GPS positioning error. Thus it is important to monitor the TEC maps. The observed TEC maps have big patches of missingness in the ocean and scattered small areas of missingness on the land. In this talk, I will introduce our video completion algorithms to achieve TEC map reconstruction, accounting for spatial smoothness and temporal consistency while preserving important structures of the TEC maps. We call the proposed method Video Imputation with SoftImpute, Temporal smoothing and Auxiliary data (VISTA). Numerical results and our data products will be described. If time allows, I will also briefly talk about our ongoing work on TEC predictions.