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Main Authors: G., Han W., Zhao, An, Chen, Xinyue, Li, Ran, Li, Rui, Liu, Xiangkun, Chen, Zhao, Yu, Yu
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.13538
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author G., Han W.
Zhao, An
Chen, Xinyue
Li, Ran
Li, Rui
Liu, Xiangkun
Chen, Zhao
Yu, Yu
author_facet G., Han W.
Zhao, An
Chen, Xinyue
Li, Ran
Li, Rui
Liu, Xiangkun
Chen, Zhao
Yu, Yu
contents One of the primary goals of next-generation gravitational lensing surveys is to measure the large-scale distribution of dark matter, which requires accurate mass inversion to convert weak-lensing shear maps into convergence (kappa) fields. This work develops a mass inversion method tailored for upcoming space missions such as CSST and Euclid, aiming to recover both the mass distribution and the convergence power spectrum with high fidelity. We introduce MIU2Net, a versatile deep-learning framework for kappa-map reconstruction based on the U2-Net architecture. A new loss function is constructed to jointly estimate the convergence field and its frequency-domain energy distribution, effectively balancing optimal mean squared error and optimal power-spectrum recovery. The method incorporates realistic observational effects into shear fields, including shape noise, reduced shear, and complex masks. Under noise levels anticipated for future space-based lensing surveys, MIU2Net recovers the convergence power spectrum with 4% uncertainties up to l approximately 500, significantly outperforming Wiener filtering and MCALens. Beyond two-point statistics, the method accurately reconstructs the convergence distribution, peak centroid, and peak amplitude. Compared to other learning-based approaches such as DeepMass, MIU2Net reduces the root-mean-square error by 5% without smoothing and by 38% with a 1-arcmin smoothing scale. MIU2Net represents a substantial advancement in mass inversion methodology, offering improved accuracy in both RMSE and power-spectrum reconstruction. It provides a promising tool for mapping dark matter environments and large-scale structures in the era of next-generation space lensing surveys.
format Preprint
id arxiv_https___arxiv_org_abs_2601_13538
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle MIU2Net: weak-lensing mass inversion using deep learning with nested U-structures
G., Han W.
Zhao, An
Chen, Xinyue
Li, Ran
Li, Rui
Liu, Xiangkun
Chen, Zhao
Yu, Yu
Cosmology and Nongalactic Astrophysics
One of the primary goals of next-generation gravitational lensing surveys is to measure the large-scale distribution of dark matter, which requires accurate mass inversion to convert weak-lensing shear maps into convergence (kappa) fields. This work develops a mass inversion method tailored for upcoming space missions such as CSST and Euclid, aiming to recover both the mass distribution and the convergence power spectrum with high fidelity. We introduce MIU2Net, a versatile deep-learning framework for kappa-map reconstruction based on the U2-Net architecture. A new loss function is constructed to jointly estimate the convergence field and its frequency-domain energy distribution, effectively balancing optimal mean squared error and optimal power-spectrum recovery. The method incorporates realistic observational effects into shear fields, including shape noise, reduced shear, and complex masks. Under noise levels anticipated for future space-based lensing surveys, MIU2Net recovers the convergence power spectrum with 4% uncertainties up to l approximately 500, significantly outperforming Wiener filtering and MCALens. Beyond two-point statistics, the method accurately reconstructs the convergence distribution, peak centroid, and peak amplitude. Compared to other learning-based approaches such as DeepMass, MIU2Net reduces the root-mean-square error by 5% without smoothing and by 38% with a 1-arcmin smoothing scale. MIU2Net represents a substantial advancement in mass inversion methodology, offering improved accuracy in both RMSE and power-spectrum reconstruction. It provides a promising tool for mapping dark matter environments and large-scale structures in the era of next-generation space lensing surveys.
title MIU2Net: weak-lensing mass inversion using deep learning with nested U-structures
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2601.13538