vignettes/report.Rmd

   1 ---
   2 title: Use morpheus package
   3
   4 output:
   5   pdf_document:
   6     number_sections: true
   7     toc_depth: 1
   8 ---
   9
  10 ```{r setup,  results="hide", include=FALSE}
  11 knitr::opts_chunk$set(echo = TRUE, include = TRUE,
  12   cache = TRUE, comment="", cache.lazy = FALSE,
  13   out.width = "100%", fig.align = "center")
  14 ```
  15
  16 ## Introduction
  17 <!--Tell that we try to learn classification parameters in a non-EM way, using algebric manipulations.-->
  18
  19 *morpheus* is a contributed R package which attempts to find the parameters of a mixture of logistic classifiers.
  20 When the data under study come from several groups that have different characteristics, using mixture models is a very popular way to handle heterogeneity.
  21 Thus, many algorithms were developed to deal with various mixtures models. Most of them use likelihood methods or Bayesian methods that are likelihood dependent.
  22 *flexmix* is an R package which implements these kinds of algorithms.
  23
  24 However, one problem of such methods is that they can converge to local maxima, so several starting points must be explored.
  25 Recently, spectral methods were developed to bypass EM algorithms and they were proved able to recover the directions of the regression parameter
  26 in models with known link function and random covariates (see [XX]).
  27 Our package extends such moment methods using least squares to get estimators of the whole parameters (with theoretical garantees, see [XX]).
  28 Currently it can handle only binary output $-$ which is a common case.
  29
  30 ## Model
  31
  32
  33
  34 TODO: retrouver mon texte initial + article.
  35
  36 2) Algorithm (as in article)
  37
  38 3) Experiments: show package usage