Imaging mechanisms in contact Kelvin Probe Force Microscopy (cKPFM) are explored via information theory-based methods. Gaussian Processes are used to achieve super-resolution in the cKPFM signal, effectively extrapolating across the spatial and parameter space. Tensor matrix factorization is applied to reduce the multidimensional signal to the tensor convolution of the scalar functions that show clear trending behavior with the imaging parameters. These methods establish a workflow for the analysis of the multidimensional data sets, that can then be related to the relevant physical mechanisms. We also provide an interactive Google Colab notebook (this http URL) that goes through all the analysis discussed in the paper.

中文翻译：

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电化学活性铁电材料接触开尔文探针力显微镜的超分辨率和信号分离

接触式开尔文探针力显微镜 (cKPFM) 的成像机制通过基于信息论的方法进行探索。高斯过程用于在 cKPFM 信号中实现超分辨率，有效地跨空间和参数空间外推。张量矩阵分解用于将多维信号减少到标量函数的张量卷积，这些标量函数显示出与成像参数的清晰趋势行为。这些方法为多维数据集的分析建立了工作流程，然后可以将其与相关的物理机制相关联。我们还提供了一个交互式 Google Colab 笔记本（此 http URL），其中包含论文中讨论的所有分析。