自然图像热力学
Thermodynamics of natural images
摘要:
自然图像的尺度不变性暗示了在临界点物理系统的统计力学的类比。在这里,我们将研究小图像块中的像素分布,并展示如何构建相应的热力学。我们在发散比热中找到了临界性的证据,这对应于我们发现单个图像的“令人惊讶”程度的大波动,以及熵与能量的定量形式。从我们的热力学框架得出的能量景观识别具有内在纠错特性的特殊图像配置,并且可以检测这些特征的神经元与初级视觉皮层中发现的细胞具有很强的相似性。
英文摘要:
The scale invariance of natural images suggests an analogy to the statistical mechanics of physical systems at a critical point. Here we examine the distribution of pixels in small image patches and show how to construct the corresponding thermodynamics. We find evidence for criticality in a diverging specific heat, which corresponds to large fluctuations in how "surprising" we find individual images, and in the quantitative form of the entropy vs. energy. The energy landscape derived from our thermodynamic framework identifies special image configurations that have intrinsic error correcting properties, and neurons which could detect these features have a strong resemblance to the cells found in primary visual cortex.
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。