{
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  "Package": "Semblance",
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  "Title": "A Data-Driven Similarity Kernel on Probability Spaces",
  "Version": "1.1.0",
  "Author": "Divyansh Agarwal <divyansh@upenn.edu> Nancy R. Zhang\n<nzh@wharton.upenn.edu>",
  "Maintainer": "Divyansh Agarwal <divyansh@upenn.edu>",
  "Description": "We present a rank-based Mercer kernel to compute a\npair-wise similarity metric corresponding to informative\nrepresentation of data. We tailor the development of a kernel\nto encode our prior knowledge about the data distribution over\na probability space. The philosophical concept behind our\nconstruction is that objects whose feature values fall on the\nextreme of that feature’s probability mass distribution are\nmore similar to each other, than objects whose feature values\nlie closer to the mean. Semblance emphasizes features whose\nvalues lie far away from the mean of their probability\ndistribution. The kernel relies on properties empirically\ndetermined from the data and does not assume an underlying\ndistribution. The use of feature ranks on a probability space\nensures that Semblance is computational efficacious, robust to\noutliers, and statistically stable, thus making it widely\napplicable algorithm for pattern analysis. The output from the\nkernel is a square, symmetric matrix that gives proximity\nvalues between pairs of observations.",
  "License": "GPL-2",
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    "Date": "2026-05-20 07:17:19 UTC",
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  "Date/Publication": "2019-01-25 12:40:10 UTC",
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    {
      "page": "computeSemblanceOneFeature",
      "title": "Compute semblance when there is only one feature, given as a vector x.",
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    },
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      "page": "computeSemblanceOneFeature_Gini",
      "title": "Compute semblance when there is only one feature, given as a vector x, but weight the feature by its Gini coefficient. Use for data with strictly positive values.",
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      "title": "Make the upper triangular part the same as the lower triangular part.",
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      "title": "Compute Semblance For a Given Input Matrix or Data Frame",
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      "title": "Compute Gini-weighted Semblance",
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      "title": "Make a matrix by repeating vector v into n columns",
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      "title": "Make a matrix by repeating vector v into n rows",
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