variant
- North America > Canada > Ontario > Toronto (0.14)
- Europe > United Kingdom > Scotland > City of Edinburgh > Edinburgh (0.04)
- Europe > United Kingdom > England > Cambridgeshire > Cambridge (0.04)
- (2 more...)
- South America > Chile > Santiago Metropolitan Region > Santiago Province > Santiago (0.04)
- Europe > Slovenia > Drava > Municipality of Benedikt > Benedikt (0.04)
- Information Technology > Artificial Intelligence > Vision (1.00)
- Information Technology > Artificial Intelligence > Natural Language (1.00)
- Information Technology > Artificial Intelligence > Machine Learning > Neural Networks (0.68)
- Information Technology > Artificial Intelligence > Machine Learning > Statistical Learning > Gradient Descent (0.41)
- North America > United States (0.04)
- Asia > Middle East > Jordan (0.04)
- Europe > Switzerland > Basel-City > Basel (0.04)
- Asia > Japan > Honshū > Chūbu > Toyama Prefecture > Toyama (0.04)
- North America > United States > California > Los Angeles County > Long Beach (0.14)
- North America > United States > Minnesota > Hennepin County > Minneapolis (0.14)
- Europe > Switzerland > Zürich > Zürich (0.14)
- (17 more...)
Appendices
Appendix A provides derivations supporting Section 3 in the main paper. In this section we provide detailed derivations of the ST -DGMRF joint distribution, for both first-order transition models (Section A.1) and higher-order transition models (Section A.2). A.1 Joint distribution The LDS (see Section 2.2 and 3.1 in the main paper) defines a joint distribution over system states First, note that Eq. (1) can be written as a set of linear equations x We make use of this property in the DGMRF formulation and in the conjugate gradient method. Eq. 11 is converted into a discrete-time dynamical system by approximating ρ We consider two ST -DGMRF variants that capture different amounts of prior knowledge. DGMRF transition matrices can be parameterized accordingly. The air quality dataset is based on hourly PM2.5 measurements obtained from [ The raw PM2.5 measurements are log-transformed and standardized to zero mean and unit Ca. 50% of the nodes are masked out (purple nodes within We use a simple MLP with one hidden layer of width 16 with ReLU activations and no output non-linearity. The DGMRF parameters are not shared across time, allowing for dynamically changing spatial covariance patterns.
- Europe > Netherlands > North Holland > Amsterdam (0.04)
- Asia > China > Beijing > Beijing (0.04)
- North America > United States > California > Alameda County > Berkeley (0.04)
- Europe > United Kingdom > England > Cambridgeshire > Cambridge (0.04)
- Asia > China > Shanghai > Shanghai (0.24)
- Europe > United Kingdom > England > Cambridgeshire > Cambridge (0.04)