Goto

Collaborating Authors

 Country




7edccc661418aeb5761dbcdc06ad490c-Paper.pdf

Neural Information Processing Systems

We prove that when a PDE's coefficients are representable bysmall neural networks, theparameters required toapproximate its solution scale polynomially with the input dimensiond and proportionally to the parameter counts of the coefficient networks.





ProductNetworks TractableProbabilisticModels

Neural Information Processing Systems

However,as already suggested, our model is not restricted to any specific intervention type or instantiation. Figure 1 (a) illustrates the performance of iSPN on theCausal Health data setfordifferent intervention types (perfect, atomic), noise terms (Gaussian, Gamma, Beta) and instantiations (Indicator Functions, Modifications). Nonetheless, it can be observed that some interventions are being modelled more precisely than others, e.g. ForEarthquakeand Cancer data sets, we use 5 different number ofsum node weights: 600, 1200, 1800, 2400 and3200. Forthesynthetic causal health data set we use 300, 600, 1000, 1500, 2000.