Size-Dependent Performance of Abnormal-Focused U-Net Segmentation for Mammographic Lesion Detection: A Two-Stage Hybrid Training Approach. [PDF]
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Singular measures and Hausdorff measures
Israel Journal of Mathematics, 1969An example is given of a family of singular probability measures on the unit interval which are supported on a set of fractional Hausdorff dimension but cannot be represented as Hausdorff measures.
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On the Centred Hausdorff Measure
Journal of the London Mathematical Society, 2000Summary: Let \(\nu\) be a measure on a separable metric space. For \(t,q\in\mathbb{R}\), the centred Hausdorff measure \(\mu^h\) with the gauge function \(h(x,r)= r^t(\nu B(x,r))^q\) is studied. The dimension defined by these measures plays an important role in the study of multifractals. It is shown that if \(\nu\) is a doubling measure, then \(\mu^h\)
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