Fetching the paper…
Reading the bibliography…
We give a general result on the effective degrees of freedom for nonlinear least squares estimation, which relates the degrees of freedom to the divergence of the estimator.
Tibshirani, R. J. (2014), ‘Degrees of freedom and model search’, arXiv
1920
Earlier work this paper cites.
Alexandrov, A. D. (1939), ‘Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it’, Leningrad Sate University Annals [Uchenye Zapiski] Mathematical Series
1939
Earlier work this paper cites.
Asplund, E. (1968), ‘Fréchet differentiability of convex functions’, Acta Math
1968
Earlier work this paper cites.
Asplund, E. (1973), ‘Differentiability of the metric projection in finite-dimensional Euclidean space’, Proc. Amer. Math. Soc
1973
Earlier work this paper cites.
Haraux, A. (1977), ‘How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities’, J. Math. Soc. Japan
1977
Earlier work this paper cites.
Abatzoglou, T. J. (1978), ‘The minimum norm projection on C 2 C^{2} -manifolds in 𝐑 n {\bf R}^{n} ’, Trans. Amer. Math. Soc
1978
Earlier work this paper cites.
Van Loan, C. F. (1978), ‘Computing integrals involving the matrix exponential’, IEEE Trans. Automat. Control
1978
Earlier work this paper cites.
Stein, C. M. (1981), ‘Estimation of the mean of a multivariate normal distribution’, Ann. Statist
1981
Earlier work this paper cites.
Evans, W. D. & Harris, D. J. (1987), ‘Sobolev embeddings for generalized ridged domains’, Proc. London Math. Soc. (3)
1987
Earlier work this paper cites.
Hastie, T. J. & Tibshirani, R. J. (1990), Generalized additive models
1990
Earlier work this paper cites.
Rudin, W. (1991), Functional analysis
1991
Earlier work this paper cites.
Evans, L. C. & Gariepy, R. F. (1992), Measure theory and fine properties of functions
1992
Earlier work this paper cites.
Fremlin, D. H. (1997), ‘Skeletons and central sets’, Proc. London Math. Soc. (3)
1997
Earlier work this paper cites.
Unpublished lecture notes
Howard, R. (1998), Alexandrov’s theorem on the second derivatives of convex functions via Rademacher’s theorem on the first derivatives of Lipschitz functions · 1998
Cited alongside, same era.
Rockafellar, R. T. & Wets, R. J.-B. (1998), Variational analysis
1998
Cited alongside, same era.
Ye, J. (1998), ‘On measuring and correcting the effects of data mining and model selection’, J. Amer. Statist. Assoc
1998
Cited alongside, same era.
Rockafellar, R. T. & Wets, R. J.-B. (1998), Variational analysis
1998
Cited alongside, same era.
Meyer, M. & Woodroofe, M. (2000), ‘On the degrees of freedom in shape-restricted regression’, Ann. Statist
2000
Cited alongside, same era.
Poliquin, R. A., Rockafellar, R. T. & Thibault, L. (2000), ‘Local differentiability of distance functions’, Trans. Amer. Math. Soc
Zou, H., Hastie, T. & Tibshirani, R. (2007), ‘On the “degrees of freedom” of the lasso’, Ann. Statist
2007
Later among the works it cites.
Claeskens, G. & Hjort, N. L. (2008), Model selection and model averaging
2008
Later among the works it cites.
Higham, N. J. (2008), Functions of Matrices: Theory and Computation
2008
Later among the works it cites.
Data mining, inference, and prediction. http://dx.doi.org/10.1007/978-0-387-84858-7
Hastie, T., Tibshirani, R. & Friedman, J. (2009), The Elements of Statistical Learning · 2009
Later among the works it cites.
Kato, K. (2009), ‘On the degrees of freedom in shrinkage estimation’, Journal of Multivariate Analysis
2009
Later among the works it cites.
Kato, K. (2009), ‘On the degrees of freedom in shrinkage estimation’, Journal of Multivariate Analysis
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2000
Cited alongside, same era.
Rockafellar, R. T. (2000), ‘Second-order convex analysis’, J. Nonlinear Convex Anal
2000
Cited alongside, same era.
Efron, B. (2004), ‘The estimation of prediction error: Covariance penalties and cross-validation’, Journal of the American Statistical Association
2004
Cited alongside, same era.
With discussion, and a rejoinder by the authors. http://dx.doi.org/10.1214/009053604000000067
Efron, B., Hastie, T., Johnstone, I. & Tibshirani, R. (2004), ‘Least angle regression’, Ann. Statist · 2004
Cited alongside, same era.
Hug, D., Last, G. & Weil, W. (2004), ‘A local Steiner-type formula for general closed sets and applications’, Math. Z
2004
Cited alongside, same era.
Wilkinson, D. J. (2006), Stochastic modelling for systems biology
2006
Cited alongside, same era.
Zou, H. (2006), ‘The adaptive lasso and its oracle properties’, J. Amer. Statist. Assoc
2006
Cited alongside, same era.
2009
Later among the works it cites.
Tseng, P. & Yun, S. (2009), ‘A coordinate gradient descent method for nonsmooth separable minimization’, Math. Program
2009
Later among the works it cites.
Methods, theory and applications
Bühlmann, P. & van de Geer, S. (2011), Statistics for high-dimensional data · 2011
Later among the works it cites.
Montefusco, F., Cosentino, C. & Bates, D. G. (2011), Nonlinear dynamics: a brief introduction, in
2011
Later among the works it cites.
Oates, C. J. & Mukherjee, S. (2012), ‘Network inference and biological dynamics’, The Annals of Applied Statistics
2012
Later among the works it cites.
Tibshirani, R. J. & Taylor, J. (2012), ‘Degrees of freedom in lasso problems’, Ann. Statist
2012
Later among the works it cites.
R package version 0.99-0. http://CRAN.R-project.org/package=expm
Goulet, V., Dutang, C., Maechler, M., Firth, D., Shapira, M., Stadelmann, M. & expm-developers@lists.R-forge.R-project.org (2012), expm: Matrix exponential · 2012
Later among the works it cites.