Normalizing flow based non-Gaussian consistency tests in a compressed detector basis select GW170104-GW170814 as the only promising lensed pair in GWTC-3.
Normalizing Flows on Tori and Spheres
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abstract
Normalizing flows are a powerful tool for building expressive distributions in high dimensions. So far, most of the literature has concentrated on learning flows on Euclidean spaces. Some problems however, such as those involving angles, are defined on spaces with more complex geometries, such as tori or spheres. In this paper, we propose and compare expressive and numerically stable flows on such spaces. Our flows are built recursively on the dimension of the space, starting from flows on circles, closed intervals or spheres.
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Machine Learning Assisted Parameter-Space Searches for Lensed Gravitational Waves
Normalizing flow based non-Gaussian consistency tests in a compressed detector basis select GW170104-GW170814 as the only promising lensed pair in GWTC-3.