Geophysics 60:1169–1177 Tibshirani RJ (1996) Regression shrinkage and selection via the lasso. J R Statist Soc B 58:267–288 Tibshirani RJ (2013) The lasso problem and uniqueness. Electron J Stat 7:1456–1490. https://doi.org/10.1214/13-EJS815 Tikhonov AN, Arsenin VY (1977)...
On the distribution, model selection properties and uniqueness of the Lasso estimator in low and high dimensionsdoi:10.1214/20-EJS1687Karl EwaldUlrike SchneiderThe Institute of Mathematical Statistics and the Bernoulli Society
We consider the sparse optimization problem with nonlinear constraints and an objective function, which is given by the sum of a general smooth mapping and an additional term defined by the-quasi-norm. This term is used to obtain sparse solutions, but difficult to handle due to its nonconvexity...
The Group-Lasso method for finding important explanatory factors suffers from the potential non-uniqueness of solutions and also from high computational costs. We formulate conditions for the uniqueness of Group-Lasso solutions which lead to an easily implementable test procedure that allows us to ident...
I want you to pay attention to how Charity grabbed a hold of the reins in her career, envisioned what her unicorn role, or unicorn opportunity could look like, and consciously and energetically made the moves to lasso that unicorn. Here's Charity, taking us back to where...
assume that the columns of X are in general position in order to ensure uniqueness of the lasso solution [this is quite a weak condition, to be discussed again shortly; see also Tibshirani (2013)]. There has been a considerable amount of recent work dedicated to the lasso problem, both in...
LASSO or Ridge regression which focuses on properties of the solution (e.g. sparsity), the variance penalizes the spread of the reward distribution. Indeed, it is easy to construct examples where regularizing an arbitrary (concave) empirical maximization problem using a LASSO or Ridge penalty can...
2020a). In the Brazilian part of the basin, the uniqueness of the headwater ichthyofaunas are well-documented (Lima et al. 2005), resulting in recent descriptions of more than 30 new species (Beltrão et al. 2019; Bogotá-Gregory et al. 2022a). Recent rigorous work resulted in ...
We consider a study on regression function estimation over a bounded domain of arbitrary shapes based on triangulation and penalization techniques. A total
and cartography, as well as about natural sciences and history. The different marine, coastal, and terrestrial ecosystems may facilitate the teaching of concepts such as the physical, chemical, and biological properties of nature, as well as highlighting the complexity and uniqueness of Western ...