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arXiv 2201.10084cs.CV

重新审视超分辨率中的L1损失:概率视角及其拓展

Revisiting L1 Loss in Super-Resolution: A Probabilistic View and Beyond

Xiangyu He, Jian Cheng

AI总结:

本文从概率视角指出超分辨率中$\ell_1$损失忽略了非唯一性,通过引入数据自适应随机变量提出新目标函数,在主流架构上实现一致提升且推理无额外开销。

摘要:

超分辨率作为一个不适定问题,对于一个低分辨率输入有许多高分辨率候选解。然而,用于最佳拟合给定HR图像的流行$\ell_1$损失未能考虑图像恢复中非唯一性的这一基本属性。在本研究中,我们通过将基于神经网络的超分辨率建模为概率模型,弥补了$\ell_1$损失中缺失的部分。研究表明,$\ell_1$损失等价于一个退化的似然函数,该函数移除了学习过程中的随机性。通过引入数据自适应随机变量,我们提出了一个新的目标函数,旨在最小化所有合理解上重建误差的期望。实验结果表明,在主流架构上取得了一致的提升,且在推理时没有额外的参数或计算成本。

英文摘要:

Super-resolution as an ill-posed problem has many high-resolution candidates for a low-resolution input. However, the popular $\ell_1$ loss used to best fit the given HR image fails to consider this fundamental property of non-uniqueness in image restoration. In this work, we fix the missing piece in $\ell_1$ loss by formulating super-resolution with neural networks as a probabilistic model. It shows that $\ell_1$ loss is equivalent to a degraded likelihood function that removes the randomness from the learning process. By introducing a data-adaptive random variable, we present a new objective function that aims at minimizing the expectation of the reconstruction error over all plausible solutions. The experimental results show consistent improvements on mainstream architectures, with no extra parameter or computing cost at inference time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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