We consider regression problems where the number of predictors greatly exceeds the number of observations. We propose a method for Depts. of Statistics, Univ. of California, Davis. [email protected] Depts. of Statistics, Stanford Univ., CA 94305, [email protected] Depts. of Statistics and Health, Research & Policy, Stanford Univ., CA 94305. [email protected] Depts. of Healt...

Example 2 Figure 2 shows an analysis of some diabetes data from Efron, Hastie, Johnstone and Tibshirani (2004). The outcome Y is a measure of disease progression after one year. We consider four covariates (ignoring for now, six other variables): age, bmi (body mass index), and two variables representing blood serum measurements. A nonparametric regression model in this case takes the form Y = ...

Pairwise coupling is a popular multi-class classification method that combines all comparisons for each pair of classes. This paper presents two approaches for obtaining class probabilities. Both methods can be reduced to linear systems and are easy to implement. We show conceptually and experimentally that the proposed approaches are more stable than the two existing popular methods: voting an...

Presented at the RSS annual meeting 2010, Brighton, U.K. The work discussed here represents collaborations with many people, especially Bradley Efron, Jerome Friedman, Trevor Hastie, Holger Hoefling, Iain Johnstone, Ryan Tibshirani and Daniela Witten I would like to thank the research section of the Royal Statistical Society for inviting me to present this retrospective paper. In this paper I g...

the analysis of changes in polygon distributions. J Geograph Syst 3:137–154 107. Peters DPC, Bestelmeyer BT, Turner MG (2007) Cross-scale interactions and changing pattern-process relationships: consequences for system dynamics. Ecosystems 10:790–796 108. Hastie T, Tibshirani R, Friedman J (2009) The elements of statistical learning: data mining, inference, and prediction, 2nd edn. Springer, Ne...

Studies have found that the causal status of features determines what exemplars are considered good members of a category (see Ahn & Kim, 2000). However, this causal status effect was questioned in recent studies (Rehder, 2003; Rehder & Hastie, 2001), because the preservation of causal links of a category’s causal network was shown to play a significant role. We demonstrate in this study that t...

This paper presents a new approach for dimension reduction of data observed on spherical surfaces. Several techniques have been developed in recent years non-euclidean analysis. As pioneer work, (Hauberg 2016) attempted to implement principal curves Riemannian manifolds. However, this uses approximations process manifolds, resulting distorted results. study proposes project onto continuous curv...

Mac B. Robinson, Deepak A. Deshpande, Jeffery Chou, Wei Cui, Shelly Smith, Carl Langefeld, Annette T. Hastie, Eugene R. Bleecker, and Gregory A. Hawkins Wake Forest School of Medicine, Center for Genomics and Personalized Medicine Research, Winston-Salem, North Carolina; Wake Forest School of Medicine, Department of Neurobiology and Anatomy, Winston-Salem, North Carolina; Center for Translation...

Publications in many biomedical fields have shown an interest in the application of Gen-eralized Additive Models (GAMs, Hastie and Tibshirani, 1990) since this type of modelsconstitute a good compromise between flexibility and interpretability, while avoiding thecurse of the dimensionality. GAMs including interactions can be adapted adequately inbiomedical studies of associa...

The Northwest Fisheries Science Center (NWFSC) has produced reports documenting total fishing mortality for groundfish for the years 2004-2006, which are available on the NWFSC’s website (Hastie 2006, Hastie and Bellman 2006, 2007). A central element of these analyses is the estimation of discard occurring in the non-hake groundfish bottom trawl fishery. This estimation process incorporates dat...