sparsistency

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noun

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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Meanings

nounsparsistency (uncountable)
  1. uncountablemathematicsLet 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.

    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.

    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

Origin

Blend of sparse + consistency.

Full word history & related roots →
Cite this entry
APA

sparsistency. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/sparsistency

MLA

“sparsistency.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/sparsistency. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “sparsistency,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/sparsistency.

Source: sparsistency on Wiktionary, CC BY-SA 4.0.