Exoplanet Cartography using Convolutional Neural Networks
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In the near-future, dedicated telescopes observe Earth-like exoplanets in reflected light, allowing their characterization. Because of the huge distances, every exoplanet will be a single pixel, but temporal variations in its spectral flux hold information about the planet's surface and atmosphere. We test convolutional neural networks for retrieving a planet's rotation axis, surface and cloud map from simulated single-pixel flux and polarization observations. We investigate the assumption that the planets reflect Lambertian in the retrieval while their actual reflection is bidirectional, and of including polarization in retrievals. We simulate observations along a planet's orbit using a radiative transfer algorithm that includes polarization and bidirectional reflection by vegetation, desert, oceans, water clouds, and Rayleigh scattering in 6 spectral bands from 400 to 800 nm, at various photon noise levels. The surface-types and cloud patterns of the facets covering a model planet are based on probability distributions. Our networks are trained with simulated observations of millions of planets before retrieving maps of test planets. The neural networks can constrain rotation axes with a mean squared error (MSE) as small as 0.0097, depending on the orbital inclination. On a bidirectionally reflecting planet, 92 desert, and cloud facets are correctly retrieved, in the absence of noise. With realistic noise, it should still be possible to retrieve the main map features with a dedicated telescope. Except for face-on orbits, a network trained with Lambertian reflecting planets, yields significant retrieval errors when given observations of bidirectionally reflecting planets, in particular, brightness artefacts around a planet's pole. Including polarization improves retrieving the rotation axis and the accuracy of the retrieval of ocean and cloud facets.
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