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gene
EXTRAPOLATION
models for
TOXICOGENOMIC
data
       daniel gusenleitner
         nacho caballero
Testing for carcinogenicity
is costly
Genes show
        clustered
        responses

Expression
 correlates
   between
  platforms
We want to extrapolate the
   expression of regular genes

               11000 Genes
2K Arrays




             10K            1K
            Regular      Landmark
            Genes          Genes
We fit a linear
model to each




                                       2K Arrays
                               1K
regular gene X              Landmark
                              Genes


Predicted Expression = Xβ
Expression Gene 1 = X1β1 +X2β2 +…+X2Kβ2K
Expression Gene 2 = X1β1 +X2β2 +…+X2Kβ2K
                    …
Expression Gene 10K = X1β1 +X2β2 +…+X2Kβ2K
Elastic
Net




                                           mean error
          number of variables




          glmnet: Lasso and elastic-
          net regularized
          generalized linear models
          http://cran.r-project.org/web/
          packages/glmnet/index.html
Neural
                               Networks
                                regular
                                 genes




                                 hidden
                                   layer

nnet: Feed-forward
Neural Networks and
Multinomial Log-
Linear Models                  landmark
http://cran.r-project.org/        genes
web/packages/nnet/index.html
mean fluorescent intensity



signal

        ratio
                Intensity variation
 -to-
noise

        intensity standard deviation
SNR =     extrapolation mean error
Building 10451 models
    takes a long time…

                          runtime    single
                total
                            per       CPU
              runtime
                           model    runtime
  linear
             120 x 3 h     2 min     360 h
regression
 elastic
             120 x 16 h   11 min    1920 h
   net
  neural     50 x 0.75              7800 h
                          45 min
 network         h                    ?
Signal-to-Noise Comparison
                      E-net    LM      NN
 ENSRNOG00000013133   135.58   19.62   13.21
 ENSRNOG00000011861   209.82   28.82   12.08
 ENSRNOG00000033466   190.81   26.58   11.86
 ENSRNOG00000036816   197.82   23.09   9.93
 ENSRNOG00000003515   273.62   29.35   8.68
 ENSRNOG00000002254   53.43    8.83    7.21
 ENSRNOG00000031266   76.19    8.19    6.70
 ENSRNOG00000005963   145.06   6.99    6.49
 ENSRNOG00000008613   38.86    3.97    6.07
 ENSRNOG00000023095   13.57    2.70    5.98
 ENSRNOG00000020947   17.27    2.41    5.04
 ENSRNOG00000007258   103.77   13.71   4.91
 ENSRNOG00000019813   16.53    3.01    4.68
 ENSRNOG00000014232   61.69    9.17    4.05
 ENSRNOG00000002454   50.71    5.58    3.80
 ENSRNOG00000018201    5.04    1.64    3.39
The elastic net
      outperforms
standard linear regression
   Signal-to-noise ratio




                           Elastic     Linear
                             Net     Regression
Additional feature selection

Performance of extrapolation models
 on carcinogenicity classifiers
Correlation between Luminex and
 Affymetrix chips

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Gene Extrapolation Models for Toxicogenomic Data

  • 1. gene EXTRAPOLATION models for TOXICOGENOMIC data daniel gusenleitner nacho caballero
  • 3. Genes show clustered responses Expression correlates between platforms
  • 4. We want to extrapolate the expression of regular genes 11000 Genes 2K Arrays 10K 1K Regular Landmark Genes Genes
  • 5. We fit a linear model to each 2K Arrays 1K regular gene X Landmark Genes Predicted Expression = Xβ Expression Gene 1 = X1β1 +X2β2 +…+X2Kβ2K Expression Gene 2 = X1β1 +X2β2 +…+X2Kβ2K … Expression Gene 10K = X1β1 +X2β2 +…+X2Kβ2K
  • 6. Elastic Net mean error number of variables glmnet: Lasso and elastic- net regularized generalized linear models http://cran.r-project.org/web/ packages/glmnet/index.html
  • 7. Neural Networks regular genes hidden layer nnet: Feed-forward Neural Networks and Multinomial Log- Linear Models landmark http://cran.r-project.org/ genes web/packages/nnet/index.html
  • 8. mean fluorescent intensity signal ratio Intensity variation -to- noise intensity standard deviation SNR = extrapolation mean error
  • 9. Building 10451 models takes a long time… runtime single total per CPU runtime model runtime linear 120 x 3 h 2 min 360 h regression elastic 120 x 16 h 11 min 1920 h net neural 50 x 0.75 7800 h 45 min network h ?
  • 10. Signal-to-Noise Comparison E-net LM NN ENSRNOG00000013133 135.58 19.62 13.21 ENSRNOG00000011861 209.82 28.82 12.08 ENSRNOG00000033466 190.81 26.58 11.86 ENSRNOG00000036816 197.82 23.09 9.93 ENSRNOG00000003515 273.62 29.35 8.68 ENSRNOG00000002254 53.43 8.83 7.21 ENSRNOG00000031266 76.19 8.19 6.70 ENSRNOG00000005963 145.06 6.99 6.49 ENSRNOG00000008613 38.86 3.97 6.07 ENSRNOG00000023095 13.57 2.70 5.98 ENSRNOG00000020947 17.27 2.41 5.04 ENSRNOG00000007258 103.77 13.71 4.91 ENSRNOG00000019813 16.53 3.01 4.68 ENSRNOG00000014232 61.69 9.17 4.05 ENSRNOG00000002454 50.71 5.58 3.80 ENSRNOG00000018201 5.04 1.64 3.39
  • 11. The elastic net outperforms standard linear regression Signal-to-noise ratio Elastic Linear Net Regression
  • 12. Additional feature selection Performance of extrapolation models on carcinogenicity classifiers Correlation between Luminex and Affymetrix chips