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Proximal Operators of Sorted Nonconvex Penalties
arXiv.orgThis 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
2017The 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 discoveryShapley 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
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
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
Characterizing the optimal solutions to the isotonic regression problem for identifiable functionals
Annals of the Institute of Statistical Mathematics, 2021Alexander I. Jordan +2 more
semanticscholar +1 more source
Pooling adjacent violators under interval constraints
Optimization Letters, 2023Kai Kopperschmidt
exaly
Active set algorithms for isotonic regression; A unifying framework
Mathematical programming, 1990M. Best, N. Chakravarti
semanticscholar +1 more source
Semiparametric probit models with univariate and bivariate current‐status data
Biometrics, 2018Hao Liu, J. Qin
semanticscholar +1 more source

