.. _References:

References
==============

Prior publications and useful reading relevant to analysis in general
and for each algorithm can be found in the references listed below. 

Understanding the algorithms of  H\ :sub:`2`\ O is an integral part of using the
platform correctly, and getting the most of analysis. 

Below are the citations of seminal articles, and articles
demonstrating rigorous application of the algorithms of H\ :sub:`2`\ O
This list is not meant to be exhaustive, but rather to provide an
abbreviated syllabus to help develop a strong understanding. 

Recommended Reading
""""""""""""""""""""

Hastie, Trevor, Robert Tibshirani, and J Jerome H Friedman. The
Elements of Statistical Learning.
Vol.1. N.p.: Springer New York, 2001. 
http://www.stanford.edu/~hastie/local.ftp/Springer/OLD//ESLII_print4.pdf

GLM
""""""

Breslow, N E. "Generalized Linear Models: Checking Assumptions and
Strengthening Conclusions." Statistica Applicata 8 (1996): 23-41.

Goldberger, Arthur S. "Best Linear Unbiased Prediction in the
Generalized Linear Regression Model." Journal of the American
Statistical Association 57.298 (1962): 369-375.
http://people.umass.edu/~bioep740/yr2009/topics/goldberger-jasa1962-369.pdf

Guisan, Antoine, Thomas C Edwards Jr, and Trevor Hastie. "Generalized
Linear and Generalized Additive Models in Studies of Species
Distributions: Setting the Scene." Ecological modelling
157.2 (2002): 89-100. 
http://www.stanford.edu/~hastie/Papers/GuisanEtAl_EcolModel-2003.pdf

Nelder, John A, and Robert WM Wedderburn. "Generalized Linear Models."
Journal of the Royal Statistical Society. Series A (General) (1972): 370-384.
http://biecek.pl/MIMUW/uploads/Nelder_GLM.pdf

Snee, Ronald D. "Validation of Regression Models: Methods and
Examples." Technometrics 19.4 (1977): 415-428.


Poisson
"""""""""

Frome, E L. "The Analysis of Rates Using Poisson Regression Models." 
Biometrics (1983): 665-674.
http://www.csm.ornl.gov/~frome/BE/FP/FromeBiometrics83.pdf

Logistic (binomial and multinomial)
"""""""""""""""""""""""""""""""""""""

Press, S James, and Sandra Wilson. "Choosing Between Logistic
Regression and Discriminant Analysis." Journal of the American
Statistical Association 73.364 (April, 2012): 699–705.
http://www.statpt.com/logistic/press_1978.pdf

Pearce, Jennie, and Simon Ferrier. "Evaluating the Predictive
Performance of Habitat Models Developed Using Logistic Regression."
Ecological modelling 133.3 (2000): 225-245.
http://www.whoi.edu/cms/files/Ecological_Modelling_2000_Pearce_53557.pdf

GBM
""""

Dietterich, Thomas G, and Eun Bae Kong. "Machine Learning Bias,
Statistical Bias, and Statistical Variance of Decision Tree
Algorithms." ML-95 255 (1995).

Elith, Jane, John R Leathwick, and Trevor Hastie. "A Working Guide to
Boosted Regression Trees." Journal of Animal Ecology 77.4 (2008): 802-813

Friedman, Jerome H. "Greedy Function Approximation: A Gradient
Boosting Machine." Annals of Statistics (2001): 1189-1232.

Friedman, Jerome, Trevor Hastie, Saharon Rosset, Robert Tibshirani,
and Ji Zhu. "Discussion of Boosting Papers." Ann. Statist 32 (2004): 
102-107


Friedman, Jerome, Trevor Hastie, and Robert Tibshirani. "Additive
Logistic Regression: A Statistical View of Boosting (With Discussion
and a Rejoinder by the Authors)." The Annals of Statistics 28.2
(2000): 337-407
http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aos/1016218223

Neural Networks
""""""""""""""""

Baldi, Pierre, and Kurt Hornik. "Neural Networks and Principal
Component Analysis: Learning From Examples Without Local Minima."
Neural networks 2.1 (1989): 53-58.

Coolen, A C C. Concepts for Neural Networks. N.p.: Springer, 1998. 13-70.

Tweedie
""""""""""

Dunn, Peter K. "Occurrence and Quantity of Precipitation Can Be
Modelled Simultaneously." International Journal of Climatology 24.10 
(2004): 1231-1239.

K-Means
"""""""""

Napoleon, D, and S Pavalakodi. "A New Method for Dimensionality
Reduction Using KMeans Clustering Algorithm for High Dimensional Data
Set." International Journal of Computer Applications 13.7 (2011): 41-46.

Xiong, Hui, Junjie Wu, and Jian Chen. "K-means Clustering Versus
Validation Measures: A Data- distribution Perspective." Systems, Man,
and Cybernetics, Part B: Cybernetics, IEEE Transactions on 39.2 (2009): 318-331.