Deep learning dark matter map reconstructions from DES SV weak lensing data
Authors: Niall Jeffrey, François Lanusse, Ofer Lahav, Jean-Luc Starck
AI-generated Key Points
- First reconstruction of dark matter maps from weak lensing observational data using deep learning
- Trained a convolution neural network (CNN) with a Unet based architecture on over $3.6\times10^5$ simulated data realisations
- Interpret their newly created DES SV map as an approximation of the posterior mean $P(\kappa | \gamma)$ of the convergence given observed shear
- DeepMass method is substantially more accurate than existing mass-mapping methods
- Validation set of 8000 simulated DES SV data realisations showed that DeepMass improved the mean-square-error (MSE) by 11 per cent compared to Wiener filtering with a fixed power spectrum
- N-body simulated MICE mock data also showed that Wiener filtering with the optimal known power spectrum still gives a worse MSE than their generalised method with no input cosmological parameters; improvement driven by non-linear structures in the convergence
- With higher galaxy density in future weak lensing data, deep learning likely to be leading approach for mass mapping with Euclid and LSST
- Study provides evidence that deep learning outperforms traditional mass-mapping methods in terms of accuracy and efficiency
Abstract: We present the first reconstruction of dark matter maps from weak lensing observational data using deep learning. We train a convolution neural network (CNN) with a Unet based architecture on over $3.6\times10^5$ simulated data realisations with non-Gaussian shape noise and with cosmological parameters varying over a broad prior distribution. We interpret our newly created DES SV map as an approximation of the posterior mean $P(\kappa | \gamma)$ of the convergence given observed shear. Our DeepMass method is substantially more accurate than existing mass-mapping methods. With a validation set of 8000 simulated DES SV data realisations, compared to Wiener filtering with a fixed power spectrum, the DeepMass method improved the mean-square-error (MSE) by 11 per cent. With N-body simulated MICE mock data, we show that Wiener filtering with the optimal known power spectrum still gives a worse MSE than our generalised method with no input cosmological parameters; we show that the improvement is driven by the non-linear structures in the convergence. With higher galaxy density in future weak lensing data unveiling more non-linear scales, it is likely that deep learning will be a leading approach for mass mapping with Euclid and LSST.
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