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Self-Supervised Learning with Lie Symmetries for Partial Differential Equations

Neural Information Processing Systems

Accurately analyzing and predicting the evolution of such systems is of paramount importance, inspiring decades of innovation in algorithms for numerical methods. However, high-accuracy solvers are often computationally expensive.


Variational Gaussian Processes For Linear Inverse Problems: Supplementary material

Neural Information Processing Systems

The results from one experiment are presented in Figure 2. We plot the resulting variational approximation of the posterior for The conclusions we draw from this experiment are the same as those in Section 4. With the optimal On the left-hand side of Figure 3, we also report the computation times of the methods, and we highlight that the true posterior takes much longer than any of the variational approximations. Again, similar conclusions can be drawn as in the previous sections. Computed T omography (CT) Imaging and Medical Single Photon Emission Computed T omography (SPECT): In CT scans, X-ray measurements are taken from different angles around a patient, and the Radon transform is used to reconstruct a cross-sectional image (slice) of the patient's body. This helps doctors visualize internal structures and diagnose various medical conditions. The Radon transform is used in the image reconstruction process for SPECT.