"sparsistency" meaning in All languages combined

See sparsistency on Wiktionary

Noun [English]

Etymology: Blend of sparse + consistency Etymology templates: {{blend|en|sparse|consistency}} Blend of sparse + consistency Head templates: {{en-noun|-}} sparsistency (uncountable)
  1. (statistics) Let mathbf b be a vector and define the support operatorname supp( mathbf b)=i: mathbf bᵢ≠0 where mathbf bᵢ is the ith element of mathbf b. Let ̂mathbf b be an estimator for mathbf b. Then sparsistency is the property that the support of the estimator converges to the true support as the number of samples grows to infinity. Wikipedia link: Consistency_(statistics)#Sparsistency Tags: uncountable Categories (topical): Statistics Related terms: sparsistent
    Sense id: en-sparsistency-en-noun-~9sSQJ-- Categories (other): English blends, English entries with incorrect language header Topics: mathematics, sciences, statistics

Download JSON data for sparsistency meaning in All languages combined (2.3kB)

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        "2": "sparse",
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      "expansion": "Blend of sparse + consistency",
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  ],
  "etymology_text": "Blend of sparse + consistency",
  "head_templates": [
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      "expansion": "sparsistency (uncountable)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "English blends",
          "parents": [],
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          "langcode": "en",
          "name": "Statistics",
          "orig": "en:Statistics",
          "parents": [
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            "Mathematics",
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            "Fundamental"
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      "examples": [
        {
          "ref": "2015, Edouard Ollier, Vivian Viallon, “Regression modeling on stratified data: automatic and covariate-specific selection of the reference stratum with simple L_1-norm penalties”, in arXiv",
          "text": "Its implementation can be done with available packages under a variety of models and, in the linear regression model, we show it is sparsistent under conditions similar to those ensuring sparsistency for an oracular version of the reference stratum strategy.",
          "type": "quotation"
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        "Let mathbf b be a vector and define the support operatorname supp( mathbf b)=i: mathbf bᵢ≠0 where mathbf bᵢ is the ith element of mathbf b. Let ̂mathbf b be an estimator for mathbf b. Then sparsistency is the property that the support of the estimator converges to the true support as the number of samples grows to infinity."
      ],
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      "raw_glosses": [
        "(statistics) Let mathbf b be a vector and define the support operatorname supp( mathbf b)=i: mathbf bᵢ≠0 where mathbf bᵢ is the ith element of mathbf b. Let ̂mathbf b be an estimator for mathbf b. Then sparsistency is the property that the support of the estimator converges to the true support as the number of samples grows to infinity."
      ],
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          "word": "sparsistent"
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  "etymology_text": "Blend of sparse + consistency",
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      "expansion": "sparsistency (uncountable)",
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        "Let mathbf b be a vector and define the support operatorname supp( mathbf b)=i: mathbf bᵢ≠0 where mathbf bᵢ is the ith element of mathbf b. Let ̂mathbf b be an estimator for mathbf b. Then sparsistency is the property that the support of the estimator converges to the true support as the number of samples grows to infinity."
      ],
      "links": [
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      "raw_glosses": [
        "(statistics) Let mathbf b be a vector and define the support operatorname supp( mathbf b)=i: mathbf bᵢ≠0 where mathbf bᵢ is the ith element of mathbf b. Let ̂mathbf b be an estimator for mathbf b. Then sparsistency is the property that the support of the estimator converges to the true support as the number of samples grows to infinity."
      ],
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        "uncountable"
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      ]
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  ],
  "word": "sparsistency"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.