arXiv:2603.22006astro-ph.COastro-ph.IM2026-03被引 3

快速精准的弱引力透镜质量映射新方法,无需重训练且自带可信误差估计。

A plug-and-play approach with fast uncertainty quantification for weak lensing mass mapping

  • 用梯度下降与单个预训练模型交替去噪,实现高效重建。
  • 仅需数次迭代收敛,对不同噪声场景通用且无需重新训练。
  • 基于矩网络与校准预测,快速给出有覆盖率保证的不确定性估计。

未来阶段四巡天如欧几里得(Euclid)和鲁宾天文台将提供海量高精度数据,推动宇宙学模型约束达到新高度。关键步骤是从含噪弱引力透镜剪切测量中重构暗物质分布。现有深度学习方法虽精度高,但要么需为每个新观测区域重新训练模型(实用性差),要么依赖缓慢的马尔可夫链蒙特卡洛采样。因此亟需一种兼具准确性、灵活性与推断速度的新方法,并要求具备有覆盖保证的不确定性量化能力。本文提出PnPMass,一种即插即用的弱引力透镜质量映射方法。该算法通过交替执行带特定数据保真项的梯度下降与由单一在高斯白噪声模拟数据上训练的深度学习模型实现的去噪步骤,生成点估计。同时,我们提出一种基于矩网络的快速无采样不确定性量化方案,通过分位数校准确保误差条具有覆盖保证。最终在模型驱动与数据驱动方法上进行基准测试,PnPMass性能接近当前最佳深度学习方法,仅需数次迭代即可收敛,且仅需一次训练,不受观测噪声协方差影响。该方法兼顾灵活性、效率与精度,同时提供更紧致的误差条,非常适合未来弱引力透镜巡天应用。

原文摘要 · Abstract (English)

Upcoming stage-IV surveys such as Euclid and Rubin will deliver vast amounts of high-precision data, opening new opportunities to constrain cosmological models with unprecedented accuracy. A key step in this process is the reconstruction of the dark matter distribution from noisy weak-lensing shear measurements. Current deep-learning-based mass-mapping methods achieve high reconstruction accuracy, but either require retraining a model for each new observed sky region (limiting practicality) or rely on slow Markov chain Monte Carlo sampling. Efficient exploitation of future survey data therefore calls for a new method that is accurate, flexible, and fast at inference. In addition, an uncertainty quantification with coverage guarantees is essential for a reliable cosmological parameter estimation. We introduce PnPMass, a plug-and-play approach for weak-lensing mass mapping. The algorithm produces point estimates by alternating between a gradient descent step with a carefully chosen data fidelity term and a denoising step implemented with a single deep-learning model trained on simulated data corrupted by Gaussian white noise. We also propose a fast sampling-free uncertainty quantification scheme based on moment networks, with calibrated error bars obtained through conformal prediction to ensure coverage guarantees. Finally, we benchmark PnPMass against model-driven and data-driven mass-mapping techniques. PnPMass achieves a performance close to that of the currently best deep-learning methods while offering fast inference. It converges in just a few iterations, and it requires only a single training phase, regardless of the noise covariance of the observations. It therefore combines flexibility, efficiency, and reconstruction accuracy while delivering tighter error bars than existing approaches, making it well suited for upcoming weak-lensing surveys.

弱引力透镜质量映射不确定性量化深度学习

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