5期

最新文章

• Regularized halfspace depth for functional data AI翻译
  作者：Yeon, Hyemin; Dai, Xiongtao; Lopez-Pintado, Sara
  作者单位：University System of Ohio; Kent State University; Kent State University Kent; Kent State University Salem; University of California System; University of California Berkeley; Northeastern University
  摘要：Data depth is a powerful tool originally proposed to rank multivariate data from centre outward. In this context, one of the most archetypical depth notions is Tukey's halfspace depth. In the last few decades, notions of depth have also been proposed for functional data. However, a naive extension of Tukey's depth cannot handle functional data because of its degeneracy. Here, we propose a new halfspace depth for functional data, which avoids degeneracy by regularization. The halfspace projecti...
• Orthogonalized moment aberration for mixed-level multi-stratum factorial designs with partially-relaxed orthogonal block structures AI翻译
  作者：Chang, Ming-Chung
  作者单位：Academia Sinica - Taiwan
  摘要：Multi-stratum factorial designs, such as block designs and row-column designs, are widely used for screening treatment factors in experiments involving complex structures of experimental units due to multiple sources of error. In this study, we propose a unified model-free approach, termed orthogonalized moment aberration, to compare the similarities between level combinations of treatment factors assigned to heterogeneous experimental units. The proposed approach, which uses kernel functions ...
• Regularized halfspace depth for functional data AI翻译
  作者：Yeon, Hyemin; Dai, Xiongtao; Lopez-Pintado, Sara
  作者单位：University System of Ohio; Kent State University; Kent State University Kent; Kent State University Salem; University of California System; University of California Berkeley; Northeastern University
  摘要：Data depth is a powerful tool originally proposed to rank multivariate data from centre outward. In this context, one of the most archetypical depth notions is Tukey's halfspace depth. In the last few decades, notions of depth have also been proposed for functional data. However, a naive extension of Tukey's depth cannot handle functional data because of its degeneracy. Here, we propose a new halfspace depth for functional data, which avoids degeneracy by regularization. The halfspace projecti...
• Orthogonalized moment aberration for mixed-level multi-stratum factorial designs with partially-relaxed orthogonal block structures AI翻译
  作者：Chang, Ming-Chung
  作者单位：Academia Sinica - Taiwan
  摘要：Multi-stratum factorial designs, such as block designs and row-column designs, are widely used for screening treatment factors in experiments involving complex structures of experimental units due to multiple sources of error. In this study, we propose a unified model-free approach, termed orthogonalized moment aberration, to compare the similarities between level combinations of treatment factors assigned to heterogeneous experimental units. The proposed approach, which uses kernel functions ...
• An optimal design framework for lasso sign recovery AI翻译
  作者：Stallrich, Jonathan W.; Young, Kade; Weese, Maria L.; Smucker, Byran J.; Edwards, David J.
  作者单位：North Carolina State University; University System of Ohio; Miami University; University System of Ohio; Miami University; Henry Ford Health System; Henry Ford Health System; Michigan State University; Michigan State University College of Human Medicine; Virginia Commonwealth University; Citadel Military College South Carolina
  摘要：Supersaturated designs investigate more factors than there are runs and are often constructed under a criterion measuring a design's proximity to an unattainable orthogonal design. The most popular analysis identifies active factors by inspecting the solution path of a penalized estimator, such as the lasso. Recent criteria encouraging positive correlations between factors have been shown to produce designs with more definitive solution paths so long as the active factors have positive effects...
• Improving the false coverage rate adjusted confidence intervals AI翻译
  作者：Frostig, Tzviel; Benjamini, Yoav
  作者单位：Tel Aviv University
  摘要：This study addresses the challenges of inference following selection in fields like clinical trials, genome-wide association studies, and functional magnetic resonance imaging, where traditional methods like simultaneous confidence intervals (CIs) might be too conservative. We introduce an improved false coverage-statement rate controlling CIs, when the selection is done by passing a threshold in a certain direction. The CIs for the selected parameters are similar to those proposed by Benjamin...
• SymmPI: predictive inference for data with group symmetries AI翻译
  作者：Dobriban, Edgar; Yu, Mengxin
  作者单位：University of Pennsylvania; Washington University (WUSTL)
  摘要：Quantifying the uncertainty of predictions is a core problem in modern statistics. Methods for predictive inference have been developed under a variety of assumptions, often-for instance, in standard conformal prediction-relying on the invariance of the distribution of the data under special groups of transformations such as permutation groups. Moreover, many existing methods for predictive inference aim to predict unobserved outcomes in sequences of feature-outcome observations. Meanwhile, th...
• Estimating maximal symmetries of regression functions via subgroup lattices AI翻译
  作者：Christie, Louis G.; Aston, John A. D.
  作者单位：University of Cambridge
  摘要：We present a method for estimating the maximal symmetry of a continuous regression function. Knowledge of such a symmetry can be used to significantly improve modelling by removing the modes of variation resulting from the symmetries. Symmetry estimation is carried out using hypothesis testing for invariance strategically over the subgroup lattice of a search group G acting on the feature space. We show that the estimation of the unique largest invariant subgroup of G generalizes useful tools ...
• Covariate-assisted bounds on causal effects with instrumental variables AI翻译
  作者：Levis, Alexander W.; Bonvini, Matteo; Zeng, Zhenghao; Keele, Luke; Kennedy, Edward H.
  作者单位：Carnegie Mellon University; University of Pennsylvania
  摘要：When an exposure of interest is confounded by unmeasured factors, an instrumental variable (IV) can be used to identify and estimate certain causal contrasts. Identification of the marginal average treatment effect (ATE) from IVs relies on strong untestable structural assumptions. When one is unwilling to assert such structure, IVs can nonetheless be used to construct bounds on the ATE. Famously, Alexander Balke and Judea Pearl proved tight bounds on the ATE for a binary outcome, in a randomiz...
• Graphical methods for Order-of-Addition experiments AI翻译
  作者：Rios, Nicholas; Lin, Dennis K. J.
  作者单位：George Mason University; Purdue University System; Purdue University
  摘要：In an Order-of-Addition (OofA) experiment, the order in which m components are added to a system influences a response. Although much research has been done on optimal OofA experiments, existing methodologies typically assume that all m! orders are possible. However, in many practical examples, there are directed constraints on the pairwise order of components, making some of the m! orders infeasible. These constraints can be represented by a directed acyclic graph (DAG). The goal of the OofA ...