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Proximal Operators of Sorted Nonconvex Penalties

arXiv.org
This work studies the problem of sparse signal recovery with automatic grouping of variables. To this end, we investigate sorted nonsmooth penalties as a regularization approach for generalized linear models.
Anne Gagneux   +2 more
semanticscholar   +1 more source

Applications of the Pool Adjacent Violation Algorithm (PAVA) in Statistical Inferences

2017
The isotonic regression solves many order restricted maximum likelihood estimation problems. This method, especially with the combination of the celebrated EM algorithm, is a powerful mathematical tool to tackle many important and difficult statistical problems. In this chapter we give a few examples to illustrate this method.
openaire   +1 more source

Beyond additivity: sparse isotonic shapley regression toward nonlinear explainability

Data mining and knowledge discovery
Shapley values, a gold standard for feature attribution in Explainable AI, face two primary challenges. First, the canonical Shapley framework assumes that the worth function is additive, yet real-world payoff constructions—driven by non-Gaussian ...
Jialai She
semanticscholar   +1 more source

MLML2R: an R package for maximum likelihood estimation of DNA methylation and hydroxymethylation proportions

Statistical Applications in Genetics and Molecular Biology, 2019
Accurately measuring epigenetic marks such as 5-methylcytosine (5-mC) and 5-hydroxymethylcytosine (5-hmC) at the single-nucleotide level, requires combining data from DNA processing methods including traditional (BS), oxidative (oxBS) or Tet-Assisted ...
S. Kiihl   +4 more
semanticscholar   +1 more source

Pool Adjacent Violator Algorithm

2023
Wolfgang Karl Härdle, Xiaorui Zuo
openaire   +1 more source

Characterizing the optimal solutions to the isotonic regression problem for identifiable functionals

Annals of the Institute of Statistical Mathematics, 2021
Alexander I. Jordan   +2 more
semanticscholar   +1 more source

Pooling adjacent violators under interval constraints

Optimization Letters, 2023
Kai Kopperschmidt
exaly  

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