Information theory and an extension of the maximum likelihood principle, Second International Symposium on Information Theory, pp.267-281 ,
Bagging predictors Using adaptive bagging to Debais regressions Classification and Regression Trees Boosting with the l 2 loss: regression and classification Sparse boosting Linear smoothers and additive models, Iterative bias reduction multivariate smoothing in R: the IBR package (2011a). arXiv:1105.3605v1 Cornillon.: Recursive bias estimation for multivariate regression (2011b). arXiv:1105.3430v2 Craven, P., Wahba, G.: Smoothing noisy data with spline functions: estimating the correct degree of smoothing by the method of generalized cross-validation. Numer. Math. 31, pp.123-140, 1973. ,
On boosting kernel regression Splines minimizing rotation-invariant semi-norms in Sobolev spaces Construction Theory of Functions of Several Variables Spline Smoothing and Nonparametric Regression Local Polynomial Modeling and Its Application, Theory and Methodologies Multivariate adaptive regression splines Greedy function approximation: A gradient boosting machine Projection pursuit regression, J. Stat. Plan. Inference Ann. Stat. Ann. Stat. J. Am. Stat. Assoc, vol.138, issue.76, pp.2483-2498, 1977. ,
Additive logistic regression: a statistical view of boosting, Ann. Stat, vol.28, pp.337-407, 2000. ,
Smoothing Spline ANOVA Models A Distribution-Free Theory of Nonparametric Regression, 2002. ,
Generalized Additive Models Smoothing parameter selection in nonparametric regression using and improved Akaike information criterion, J. R. Stat. Soc. B, vol.60, pp.271-294, 1995. ,
Asymptotically minimax adaptive estimation. I: Upper bounds. Opitmally adaptive estimates. Theory Probab, Appl, vol.37, pp.682-697, 1991. ,
cross-validation and generalized cross-validation: discrete index set Additive logistic regression: a statistical view of boosting: discussion Estimating the dimension of a model Introduction to Nonparametric Estimation, Ann. Stat. Ann. Stat. Ann. Stat. J.S.: Smoothing Methods in Statistics, vol.15, issue.6, pp.958-975, 1978. ,
Explanatory Data Analysis Thin plate regression splines Stable and efficient multiple smoothing parameter estimation for generalized additive models, J. R. Stat. Soc. B J. Am. Stat. Assoc, vol.65, issue.99, pp.95-114, 1977. ,
Combining different procedures for adaptive regression, J. Multivar. Anal, vol.74, pp.135-161, 2000. ,
Information theory and an extension of the maximum likelihood principle, Second international symposium on information theory, pp.267-281, 1973. ,
Monotone spectral density estimation. The Annals of Statistics, pp.418-438, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00355215
Weighted isotonic regression under the l 1 norm, Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm, pp.783-791, 2006. ,
Convergence of the backfitting algorithm for additive models, Journal of the Australian Mathematical Society (Series A), vol.57, issue.03, pp.316-329, 1994. ,
An empirical distribution function for sampling with incomplete information. The annals of mathematical statistics, pp.641-647, 1955. ,
Statistical inference under order restrictions : The theory and application of isotonic regression, 1972. ,
A test of homogeneity for ordered alternatives, Biometrika, vol.46, issue.12, pp.36-48, 1959. ,
Dykstra's alternating projection algorithm for two sets, Journal of Approximation Theory, vol.79, issue.3, pp.418-443, 1994. ,
Adaptive control processes : A guided tour, 1961. ,
Equivalence of some quadratic programming algorithms, Mathematical Programming, vol.30, issue.1, pp.71-87, 1984. ,
Active set algorithms for isotonic regression ; a unifying framework, Mathematical Programming, pp.425-439, 1990. ,
A method for finding projections onto the intersection of convex sets in hilbert spaces, Lecture Notes in Statistics, vol.37, issue.4, pp.28-47, 1986. ,
Classification and regression trees, 1984. ,
Estimating optimal transformations for multiple regression and correlation, Journal of the American Statistical Association, pp.580-598, 1985. ,
Submodel selection and evaluation in regression. the x-random case, International Statistical Review/Revue Internationale de Statistique, pp.291-319, 1992. ,
Théorie de l'intégration. Vuibert, 2006. ,
Maximum likelihood estimates of monotone parameters, The Annals of Mathematical Statistics, vol.26, issue.4, pp.607-616, 1955. ,
On an inequality for convex functions, Proc. Amer. Math. Soc, pp.817-824, 1956. ,
On the estimation of parameters restricted by inequalities. The Annals of Mathematical Statistics, pp.437-454, 1958. ,
Conditional expectation given a ?-lattice and applications, The Annals of Mathematical Statistics, vol.36, issue.5, pp.1339-1350, 1965. ,
Estimation of isotonic regression, Nonparametric Techniques in Statistical Inference, pp.177-195, 1970. ,
Minimizing integrals in certain classes of monotone functions, Pacific journal of mathematics, vol.7, issue.1, pp.833-847, 1957. ,
Boosting with the l2 loss, Journal of the American Statistical Association, issue.462, pp.98-324, 2003. ,
Linear smoothers and additive models. The Annals of Statistics, pp.453-510, 1989. ,
DOI : 10.1214/aos/1176347115
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.143.1113
Isotonic median regression : a linear programming approach Mathematics of operations research, pp.303-308, 1989. ,
Proximity maps for convex sets, Proc. Amer. Math. Soc, pp.448-450, 1959. ,
Recursive bias estimation for multivariate regression smoothers, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00955865
Smoothing noisy data with spline functions, Numerische Mathematik, vol.31, issue.4, pp.377-403, 1978. ,
Monotone median regression. The Annals of, Mathematical Statistics, vol.43, issue.5, pp.1459-1469, 1972. ,
DOI : 10.1214/aoms/1177692378
On boosting kernel regression, Journal of Statistical Planning and Inference, vol.138, issue.8, pp.2483-2498, 2008. ,
Case-control isotonic regression for investigation of elevation in risk around a point source, Statistics in medicine, vol.18, issue.13, pp.1605-1613, 1999. ,
On the lp-error of monotonicity constrained estimators. The Annals of Statistics, pp.1080-1104, 2007. ,
An isotonic regression algorithm, Journal of Statistical Planning and Inference, vol.5, issue.4, pp.355-363, 1981. ,
An algorithm for restricted least squares regression, Journal of the American Statistical Association, pp.837-842, 1983. ,
An algorithm for isotonic regression for two or more independent variables. The Annals of Statistics, pp.708-716, 1982. ,
Estimating the error rate of a prediction rule : improvement on cross-validation, Journal of the American Statistical Association, pp.316-331, 1983. ,
Improvements on cross-validation : The. 632+ bootstrap method, Journal of the American Statistical Association, pp.548-560, 1997. ,
Local polynomial modelling and its applications, 1996. ,
Hidden markov models approach to the analysis of array cgh data, Journal of multivariate analysis, vol.90, issue.1, pp.132-153, 2004. ,
Bump hunting in high-dimensional data, Statistics and Computing, vol.9, issue.2, pp.123-143, 1999. ,
Projection pursuit regression, Journal of the American statistical Association, pp.817-823, 1981. ,
DOI : 10.1080/01621459.1981.10477729
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.382.4593
Unimodal regression. The Statistician, pp.479-485, 1986. ,
An algorithm for monotone regression with one or more independent variables, Biometrika, vol.57, issue.2, pp.263-271, 1970. ,
Algorithm as 257 : isotonic regression for umbrella orderings, Journal of the Royal Statistical Society. Series C (Applied Statistics), vol.39, issue.3, pp.397-402, 1990. ,
Least square fitting for monotonic functions having integer values, Journal of the American Statistical Association, vol.71, pp.370-373, 1976. ,
Density estimation and bump-hunting by the penalized likelihood method exemplified by scattering and meteorite data, Journal of the American Statistical Association, pp.42-56, 1980. ,
Methods of statistical analysis, 1952. ,
Nonparametric regression and generalized linear models : a roughness penalty approach, 1994. ,
On the theory of mortality measurement. part ii, Skand. Akt, vol.39, pp.125-153, 1956. ,
Projections onto order simplexes Applied mathematics & optimization, pp.247-270, 1984. ,
Smoothing spline ANOVA models, 2002. ,
Contributions à l'estimation non paramétrique et à la simulation d'événements rares, 2011. ,
A Distribution-Free Theory of Nonparametric Regression, 2002. ,
Applied iterative methods, 1981. ,
Nonparametric kernel regression subject to monotonicity constraints, The Annals of Statistics, vol.29, issue.3, pp.624-647, 2001. ,
The product of projection operators. The Annals of Statistics, pp.96-99, 1962. ,
On consistency in monotonic regression. The Annals of Statistics, pp.401-421, 1973. ,
On the backfitting algorithm for additive regression models, Statistica neerlandica, vol.47, issue.1, pp.43-57, 1993. ,
Bump hunting in regression revisited, Thèse de doctorat, 1998. ,
Generalized additive models, 1990. ,
Bump hunting in regression analysis, Statistics & probability letters, vol.14, issue.2, pp.141-152, 1992. ,
Probability inequalities for sums of bounded random variables, Journal of the American Statistical Association, pp.13-30, 1963. ,
Notions of Convexity, 2007. ,
Optimal estimation in additive regression models, Bernoulli, vol.12, issue.2, pp.271-298, 2006. ,
Experimental determination of the maximum of a function. The Annals of mathematical statistics, pp.20-45, 1941. ,
Analysis of array cgh data : from signal ration to gain and loss to dna regions, Bioinformatics, issue.18, pp.20-3413, 2004. ,
Smoothing parameter selection in nonparametric regression using an improved akaike information criterion, Journal of the Royal Statistical Society : Series B (Statistical Methodology), vol.60, issue.2, pp.271-293, 1998. ,
Monotonicity of metric projections onto positive cones of ordered euclidean spaces, Archiv der Mathematik, vol.46, issue.6, pp.568-576, 1986. ,
Corrigendum to " monotonicity of metric projections onto positive cones of ordered euclidean spaces, Archiv der Mathematik, pp.367-368, 1987. ,
A tiling resolution dna microarray with complete coverage of the human genome, Nature genetics, vol.36, issue.3, pp.299-303, 2004. ,
Identification of gene copy number variations in patients with mental retardation using array-cgh : Novel syndromes in a large french series, European journal of medical genetics, vol.53, issue.2, pp.66-75, 2010. ,
URL : https://hal.archives-ouvertes.fr/inserm-00434932
Chromosomal breakpoint detection in human cancer, pp.107-116, 2003. ,
A study of cross-validation and bootstrap for accuracy estimation and model selection, Proceedings of the 14th international joint conference on Artificial intelligence- Volume, pp.1137-1143, 1995. ,
Nonmetric multidimensional scaling : a numerical method, Psychometrika, vol.29, pp.115-129, 1964. ,
The min-max algorithm and isotonic regression, The Annals of Statistics, vol.11, issue.2, pp.467-477, 1983. ,
An o (n) algorithm for weighted least squares regression by integer quasi-convex and unimodal or umbrella functions, Computers & Mathematics with Applications, vol.58, issue.4, pp.776-783, 2009. ,
Evaluating the relation of juice composition of madarin oranges to percent acceptance of a taste panel, Fd. Technol, vol.17, pp.113-115, 1963. ,
Isotonic recursive partitioning. Arxiv preprint arXiv, pp.1102-5496, 2011. ,
The existence and asymptotic properties of a backfitting projection algorithm under weak conditions. The Annals of Statistics, pp.1443-1490, 1999. ,
A general projection framework for constrained smoothing, Statistical Science, pp.232-248, 2001. ,
Smoothing splines and shape restrictions, Scandinavian Journal of Statistics, vol.26, issue.2, pp.239-252, 1999. ,
DOI : 10.1111/1467-9469.00147
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.5219
Additive isotone regression, Asymptotics : Particles, Processes and Inverse Problems, IMS Lecture Notes-Monograph Series, pp.179-195, 2007. ,
DOI : 10.1214/074921707000000355
URL : http://arxiv.org/abs/0709.0888
Establishing consistent and realistic reorder intervals in production-distribution systems, Operations Research, pp.1316-1341, 1985. ,
An algorithm for isotonic median regression, Computational Statistics & Data Analysis, vol.5, issue.4, pp.399-406, 1987. ,
On the degrees of freedom in shape-restricted regression. The annals of Statistics, pp.1083-1104, 2000. ,
Décomposition orthogonale d'un espace préhilbertien selon deux cônes mutuellement polaires, C. R. Acad. Sci, vol.255, pp.238-240, 1962. ,
DOI : 10.24033/bsmf.1625
URL : http://archive.numdam.org/article/BSMF_1965__93__273_0.pdf
On evolution, search, optimization, genetic algorithms and martial arts : Towards memetic algorithms. Caltech concurrent computation program, C3P Report, vol.826, 1989. ,
Monotone nonparametric regression. The Annals of Statistics, pp.741-750, 1988. ,
DOI : 10.1214/aos/1176350832
URL : http://projecteuclid.org/download/pdf_1/euclid.aos/1176350832
On estimators regression. Theory of Probability and its Applications, p.9, 1964. ,
Circular binary segmentation for the analysis of array-based dna copy number data, Biostatistics, vol.5, issue.4, pp.557-572, 2004. ,
Asymptotic properties of backfitting estimators, Journal of Multivariate Analysis, vol.73, issue.2, pp.166-179, 2000. ,
Fitting a bivariate additive model by local polynomial regression. The Annals of Statistics, pp.186-211, 1997. ,
Algorithms for a class of isotonic regression problems, Algorithmica, vol.23, issue.3, pp.211-222, 1999. ,
Efficient computation of an isotonic median regression, Applied Mathematics Letters, vol.8, issue.2, pp.67-70, 1995. ,
A statistical approach for array cgh data analysis, BMC bioinformatics, vol.6, issue.1, p.27, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00427846
Cross-validation of regression models, Journal of the American Statistical Association, pp.575-583, 1984. ,
High resolution analysis of dna copy number variation using comparative genomic hybridization to microarrays, Nature Genetics, vol.20, issue.2, pp.207-211, 1998. ,
DOI : 10.1038/2524
Adaptive weights smoothing with applications to image restoration, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.62, issue.2, pp.335-354, 2000. ,
DOI : 10.1111/1467-9868.00235
Estimation of a function under shape restrictions. applications to reliability. The Annals of Statistics, pp.1330-1356, 2005. ,
On the statistical optimality of locally monotonic regression, IEEE Transactions on Signal Processing, vol.42, issue.6, pp.1548-1550, 1994. ,
DOI : 10.1109/78.286972
Continuous Martingales and Brownian Motion de Grundlehren der matematishen Wissenshaften, 2005. ,
On Estimating Monotone Parameters, The Annals of Mathematical Statistics, vol.39, issue.3, pp.1030-1039, 1968. ,
DOI : 10.1214/aoms/1177698335
Algorithms in order restricted statistical inference and the cauchy mean value property. The Annals of Statistics, pp.645-651, 1980. ,
Dye-Bias Correction in Dual-Labeled cDNA Microarray Gene Expression Measurements, Environmental Health Perspectives, vol.112, issue.4, p.480, 2004. ,
DOI : 10.1289/ehp.6694
A 98%-Effective Lot-Sizing Rule for a Multi-Product, Multi-Stage Production / Inventory System, Mathematics of Operations Research, vol.11, issue.4, pp.699-727, 1986. ,
DOI : 10.1287/moor.11.4.699
Analyse réelle et complexe, 1975. ,
Developpement of a precommercial thinning guide for black spruce, Thèse de doctorat, 1993. ,
Theory of Linear and Integer Programming, 1986. ,
Estimating the Dimension of a Model, The Annals of Statistics, vol.6, issue.2, pp.461-464, 1978. ,
DOI : 10.1214/aos/1176344136
Using kernel density estimates to investigate multimodality, Journal of the Royal Statistical Society. Series B, pp.97-99, 1981. ,
Some aspects of the spline smoothing approach to non-parametric regression curve fitting, Journal of the Royal Statistical Society. Series B, pp.1-52, 1985. ,
Validation of Regression Models: Methods and Examples, Technometrics, vol.34, issue.4, pp.415-428, 1977. ,
DOI : 10.2307/1268345
Assembly of microarrays for genome-wide measurement of dna copy number by cgh, Nature Genetics, vol.29, issue.3, pp.263-264, 2001. ,
DOI : 10.1038/ng754
Matrix-based comparative genomic hybridization: Biochips to screen for genomic imbalances, Genes, Chromosomes and Cancer, vol.56, issue.4, pp.399-407, 1997. ,
DOI : 10.1002/(SICI)1098-2264(199712)20:4<399::AID-GCC12>3.0.CO;2-I
Additive regression and other nonparametric models. The annals of Statistics, pp.689-705, 1985. ,
Unimodal regression via prefix isotonic regression, Computational Statistics & Data Analysis, vol.53, issue.2, pp.289-297, 2008. ,
DOI : 10.1016/j.csda.2008.08.005
The Problem of Negative Estimates of Variance Components, The Annals of Mathematical Statistics, vol.33, issue.1, pp.273-289, 1962. ,
DOI : 10.1214/aoms/1177704731
Nearly-Isotonic Regression, Technometrics, vol.53, issue.1, pp.54-61, 2011. ,
DOI : 10.1198/TECH.2010.10111
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.226.6547
Locating a maximum using isotonic regression, Computational Statistics & Data Analysis, vol.25, issue.3, pp.305-320, 1997. ,
DOI : 10.1016/S0167-9473(97)00009-1
An O(n) algorithm for least squares quasi-convex approximation, Computers & Mathematics with Applications, vol.14, issue.8, pp.583-590, 1987. ,
DOI : 10.1016/0898-1221(87)90185-4
Maximum likelihood estimation of ordered probabilities, Indag. Math, vol.18, pp.444-455, 1956. ,
Maximum Likelihood Estimation of Partially or Completely Ordered Parameters. II, Indagationes Mathematicae (Proceedings), vol.60, pp.128-136, 1957. ,
DOI : 10.1016/S1385-7258(57)50027-9
Functional Operators. II. The Geometry of Orthogonal Spaces, Annals of Mathematics Studies, issue.22, 1950. ,
Spline models for observational data, 1990. ,
DOI : 10.1137/1.9781611970128
Limiting distribution for monotone median regression, Journal of Statistical Planning and Inference, vol.107, issue.1-2, pp.281-287, 2002. ,
DOI : 10.1016/S0378-3758(02)00258-6
Smooth regression analysis. Sankhy¯ a : The Indian Journal of Statistics, pp.359-372, 1964. ,
On the Consistency of Cross-Validation in Kernel Nonparametric Regression, The Annals of Statistics, vol.11, issue.4, pp.1136-1141, 1983. ,
DOI : 10.1214/aos/1176346327
Estimating Strictly Increasing Regression Functions, Journal of the American Statistical Association, vol.70, issue.363, pp.636-639, 1978. ,
DOI : 10.1080/01621459.1978.10480069
The Asymptotic Behavior of Monotone Regression Estimates, The Annals of Statistics, vol.9, issue.2, pp.443-448, 1981. ,
DOI : 10.1214/aos/1176345411
Isotonic regression: Another look at the changepoint problem, Biometrika, vol.88, issue.3, pp.793-804, 2001. ,
DOI : 10.1093/biomet/88.3.793
Contributions to nonlinear functional analysis : proceedings. N o 27, 1971. ,