"Hellinger distance" meaning in All languages combined

See Hellinger distance on Wiktionary

Noun [English]

Forms: Hellinger distances [plural]
Etymology: It is defined in terms of the Hellinger integral, introduced by Ernst Hellinger in 1909. Head templates: {{en-noun|~}} Hellinger distance (countable and uncountable, plural Hellinger distances)
  1. (probability, statistics) A measure used to quantify the similarity between two probability distributions. Tags: countable, uncountable Categories (topical): Statistics Synonyms: Bhattacharyya distance
    Sense id: en-Hellinger_distance-en-noun-9h0~bD5B Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, probability, sciences, statistics

Inflected forms

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  "etymology_text": "It is defined in terms of the Hellinger integral, introduced by Ernst Hellinger in 1909.",
  "forms": [
    {
      "form": "Hellinger distances",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
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      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
          ],
          "source": "w"
        },
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          "kind": "other",
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Statistics",
          "orig": "en:Statistics",
          "parents": [
            "Formal sciences",
            "Mathematics",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A measure used to quantify the similarity between two probability distributions."
      ],
      "id": "en-Hellinger_distance-en-noun-9h0~bD5B",
      "links": [
        [
          "statistics",
          "statistics"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "quantify",
          "quantify"
        ],
        [
          "similarity",
          "similarity"
        ],
        [
          "probability distribution",
          "probability distribution"
        ]
      ],
      "raw_glosses": [
        "(probability, statistics) A measure used to quantify the similarity between two probability distributions."
      ],
      "synonyms": [
        {
          "word": "Bhattacharyya distance"
        }
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "probability",
        "sciences",
        "statistics"
      ]
    }
  ],
  "word": "Hellinger distance"
}
{
  "etymology_text": "It is defined in terms of the Hellinger integral, introduced by Ernst Hellinger in 1909.",
  "forms": [
    {
      "form": "Hellinger distances",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "Hellinger distance (countable and uncountable, plural Hellinger distances)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Statistics"
      ],
      "glosses": [
        "A measure used to quantify the similarity between two probability distributions."
      ],
      "links": [
        [
          "statistics",
          "statistics"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "quantify",
          "quantify"
        ],
        [
          "similarity",
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        ],
        [
          "probability distribution",
          "probability distribution"
        ]
      ],
      "raw_glosses": [
        "(probability, statistics) A measure used to quantify the similarity between two probability distributions."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "probability",
        "sciences",
        "statistics"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Bhattacharyya distance"
    }
  ],
  "word": "Hellinger distance"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.