load library
library(h2o)
----------------------------------------------------------------------
Your next step is to start H2O:
> h2o.init()
For H2O package documentation, ask for help:
> ??h2o
After starting H2O, you can use the Web UI at http://localhost:54321
For more information visit http://docs.h2o.ai
----------------------------------------------------------------------
Attaching package: 㤼㸱h2o㤼㸲
The following objects are masked from 㤼㸱package:stats㤼㸲:
cor, sd, var
The following objects are masked from 㤼㸱package:base㤼㸲:
%*%, %in%, &&, ||, apply, as.factor, as.numeric, colnames, colnames<-, ifelse, is.character,
is.factor, is.numeric, log, log10, log1p, log2, round, signif, trunc
h2o.init()
H2O is not running yet, starting it now...
Note: In case of errors look at the following log files:
C:\Users\r631758\AppData\Local\Temp\1\RtmpiOuWNy/h2o_r631758_started_from_r.out
C:\Users\r631758\AppData\Local\Temp\1\RtmpiOuWNy/h2o_r631758_started_from_r.err
java version "1.8.0_144"
Java(TM) SE Runtime Environment (build 1.8.0_144-b01)
Java HotSpot(TM) 64-Bit Server VM (build 25.144-b01, mixed mode)
Starting H2O JVM and connecting: . Connection successful!
R is connected to the H2O cluster:
H2O cluster uptime: 2 seconds 19 milliseconds
H2O cluster version: 3.10.5.3
H2O cluster version age: 2 months and 26 days
H2O cluster name: H2O_started_from_R_r631758_gdc101
H2O cluster total nodes: 1
H2O cluster total memory: 3.48 GB
H2O cluster total cores: 8
H2O cluster allowed cores: 8
H2O cluster healthy: TRUE
H2O Connection ip: localhost
H2O Connection port: 54321
H2O Connection proxy: NA
H2O Internal Security: FALSE
R Version: R version 3.4.1 (2017-06-30)
h2o.removeAll()
[1] 0
import cover type data
D = h2o.importFile(path ="C:\\Users\\r631758\\Desktop\\r631758\\R codes\\H2O\\exercise\\covtype.full.csv", parse=TRUE)
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h2o.summary(D)
Approximated quantiles computed! If you are interested in exact quantiles, please pass the `exact_quantiles=TRUE` parameter.
Elevation Aspect Slope Horizontal_Distance_To_Hydrology Vertical_Distance_To_Hydrology
Min. :1859 Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. :-173.00
1st Qu.:2809 1st Qu.: 58.0 1st Qu.: 9.0 1st Qu.: 107.6 1st Qu.: 7.00
Median :2995 Median :127.0 Median :13.0 Median : 216.7 Median : 30.00
Mean :2959 Mean :155.7 Mean :14.1 Mean : 269.4 Mean : 46.42
3rd Qu.:3163 3rd Qu.:260.0 3rd Qu.:18.0 3rd Qu.: 383.1 3rd Qu.: 69.00
Max. :3858 Max. :360.0 Max. :66.0 Max. :1397.0 Max. : 601.00
Horizontal_Distance_To_Roadways Hillshade_9am Hillshade_Noon Hillshade_3pm Horizontal_Distance_To_Fire_Points
Min. : 0 Min. : 0.0 Min. : 0.0 Min. : 0.0 Min. : 0
1st Qu.:1103 1st Qu.:198.0 1st Qu.:213.0 1st Qu.:119.0 1st Qu.:1019
Median :1993 Median :218.0 Median :226.0 Median :143.0 Median :1707
Mean :2350 Mean :212.1 Mean :223.3 Mean :142.5 Mean :1980
3rd Qu.:3324 3rd Qu.:231.0 3rd Qu.:237.0 3rd Qu.:168.0 3rd Qu.:2547
Max. :7117 Max. :254.0 Max. :254.0 Max. :254.0 Max. :7173
Wilderness_Area Soil_Type Cover_Type
area_0:260796 type_28:115247 class_2:283301
area_2:253364 type_22: 57752 class_1:211840
area_3: 36968 type_31: 52519 class_3: 35754
area_1: 29884 type_32: 45154 class_7: 20510
type_21: 33373 class_6: 17367
type_9 : 32634 class_5: 9493
D.R<-as.data.frame(D)
split data
data=h2o.splitFrame(D,ratios=c(.7,.15), destination_frames = c("train","test","valid"))
names(data)<-c("Train","Test","Valid")
multinomial model
y="Cover_Type"
x=names(data$Train)
x=x[-which(x==y)]
start=Sys.time()
glm = h2o.glm(training_frame = data$Train, validation_frame = data$Valid, x = x, y = y,family='multinomial',solver='L_BFGS')
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glm_time<-Sys.time()-start
print(paste("Took", round(glm_time, digits=2), units(glm_time), "to build multinomail regression model."))
[1] "Took 6.48 secs to build multinomail regression model."
h2o.confusionMatrix(glm, valid=TRUE)
Confusion Matrix: Row labels: Actual class; Column labels: Predicted class
class_1 class_2 class_3 class_4 class_5 class_6 class_7 Error
class_1 22014 9023 4 0 0 8 595 0.3043
class_2 7635 34041 568 0 14 173 23 0.1982
class_3 0 567 4473 68 1 318 0 0.1758
class_4 0 1 235 115 0 50 0 0.7132
class_5 4 1357 38 0 0 6 0 1.0000
class_6 0 639 1434 7 1 552 0 0.7904
class_7 1409 31 0 0 0 0 1605 0.4729
Totals 31062 45659 6752 190 16 1107 2223 0.2782
Rate
class_1 = 9,630 / 31,644
class_2 = 8,413 / 42,454
class_3 = 954 / 5,427
class_4 = 286 / 401
class_5 = 1,405 / 1,405
class_6 = 2,081 / 2,633
class_7 = 1,440 / 3,045
Totals = 24,209 / 87,009
disable regularization of the glm model
start=Sys.time()
glm2 = h2o.glm(training_frame = data$Train, validation_frame = data$Valid, x = x, y = y,family='multinomial',solver='L_BFGS', lambda=0)
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Reached maximum number of iterations 140!
glm_time<-Sys.time()-start
print(paste("Took", round(glm_time, digits=2), units(glm_time), "to build multinomail regression model."))
[1] "Took 18.53 secs to build multinomail regression model."
h2o.confusionMatrix(glm2, valid=FALSE) # get confusion matrix in the training data
Confusion Matrix: Row labels: Actual class; Column labels: Predicted class
class_1 class_2 class_3 class_4 class_5 class_6 class_7 Error
class_1 103845 41596 28 0 10 50 3014 0.3009
class_2 36032 158507 2313 2 152 1136 114 0.2005
class_3 0 2492 20047 424 29 2013 0 0.1983
class_4 0 6 883 827 0 231 0 0.5752
class_5 33 6330 208 0 63 32 0 0.9905
class_6 0 2754 6018 45 22 3333 0 0.7262
class_7 6036 116 0 0 0 0 8171 0.4295
Totals 145946 211801 29497 1298 276 6795 11299 0.2755
Rate
class_1 = 44,698 / 148,543
class_2 = 39,749 / 198,256
class_3 = 4,958 / 25,005
class_4 = 1,120 / 1,947
class_5 = 6,603 / 6,666
class_6 = 8,839 / 12,172
class_7 = 6,152 / 14,323
Totals = 112,119 / 406,912
h2o.confusionMatrix(glm2, valid=TRUE) # get confusion matrix in the test data
Confusion Matrix: Row labels: Actual class; Column labels: Predicted class
class_1 class_2 class_3 class_4 class_5 class_6 class_7 Error
class_1 22046 8916 8 0 4 17 653 0.3033
class_2 7650 34005 495 0 33 243 28 0.1990
class_3 0 544 4386 80 5 412 0 0.1918
class_4 0 1 172 184 0 44 0 0.5411
class_5 3 1339 43 0 13 7 0 0.9907
class_6 0 577 1325 16 2 713 0 0.7292
class_7 1270 38 0 0 0 0 1737 0.4296
Totals 30969 45420 6429 280 57 1436 2418 0.2750
Rate
class_1 = 9,598 / 31,644
class_2 = 8,449 / 42,454
class_3 = 1,041 / 5,427
class_4 = 217 / 401
class_5 = 1,392 / 1,405
class_6 = 1,920 / 2,633
class_7 = 1,308 / 3,045
Totals = 23,925 / 87,009
try binomial model
D_binomial=D[D$Cover_Type %in% c("class_1","class_2"),]
h2o.setLevels(D_binomial$Cover_Type, c("class_1","class_2"))
Cover_Type
1 class_1
2 class_1
3 class_2
4 class_2
5 class_1
6 class_2
[495141 rows x 1 column]
#split to train/test/validation again
data_binomial<-h2o.splitFrame(D_binomial,ratio=c(.7,.15), destination_frames = c("train_b","test_b","valid_b"))
names(data_binomial)<-c("Train","Test","Valid")
run binomial model
m_binomial = h2o.glm(training_frame = data_binomial$Train, validation_frame = data_binomial$Valid, x = x, y = y, family='binomial',lambda=0)
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h2o.confusionMatrix(m_binomial, valid = FALSE)
Confusion Matrix (vertical: actual; across: predicted) for max f1 @ threshold = 0.432283992854981:
class_1 class_2 Error Rate
class_1 95584 52666 0.355251 =52666/148250
class_2 26968 171431 0.135928 =26968/198399
Totals 122552 224097 0.229725 =79634/346649
h2o.confusionMatrix(m_binomial, valid = TRUE)
Confusion Matrix (vertical: actual; across: predicted) for max f1 @ threshold = 0.421594496651137:
class_1 class_2 Error Rate
class_1 20062 11668 0.367728 =11668/31730
class_2 5539 36856 0.130652 =5539/42395
Totals 25601 48524 0.232135 =17207/74125
ROC curve
fpr = m_binomial@model$training_metrics@metrics$thresholds_and_metric_scores$fpr
tpr = m_binomial@model$training_metrics@metrics$thresholds_and_metric_scores$tpr
fpr_val = m_binomial@model$validation_metrics@metrics$thresholds_and_metric_scores$fpr
tpr_val = m_binomial@model$validation_metrics@metrics$thresholds_and_metric_scores$tpr
plot(fpr,tpr, type='l')
title('AUC')
lines(fpr_val,tpr_val,type='l',col='red')
legend("bottomright",c("Train", "Validation"),col=c("black","red"),lty=c(1,1),lwd=c(3,3))

h2o.auc(m_binomial,valid=FALSE) # on train
[1] 0.8487388
h2o.auc(m_binomial,valid=TRUE) # on test
[1] 0.8488461
threshold
m_binomial@model$training_metrics@metrics$max_criteria_and_metric_scores
Maximum Metrics: Maximum metrics at their respective thresholds
metric threshold value idx
1 max f1 0.432284 0.811515 236
2 max f2 0.149571 0.885211 347
3 max f0point5 0.646413 0.815667 156
4 max accuracy 0.511930 0.776128 206
5 max precision 0.997803 1.000000 0
6 max recall 0.005826 1.000000 399
7 max specificity 0.997803 1.000000 0
8 max absolute_mcc 0.548828 0.543831 192
9 max min_per_class_accuracy 0.562751 0.772560 187
10 max mean_per_class_accuracy 0.562751 0.773638 187
bins
cut_column <- function(data, col) {
# need lower/upper bound due to h2o.cut behavior (points < the first break or > the last break are replaced with missing value)
min_val = min(data$Train[,col])-1
max_val = max(data$Train[,col])+1
x = h2o.hist(data$Train[, col])
# use only the breaks with enough support
breaks = x$breaks[which(x$counts > 1000)]
# assign level names
lvls = c("min",paste("i_",breaks[2:length(breaks)-1],sep=""),"max")
col_cut <- paste(col,"_cut",sep="")
data$Train[,col_cut] <- h2o.setLevels(h2o.cut(x = data$Train[,col],breaks=c(min_val,breaks,max_val)),lvls)
# now do the same for test and validation, but using the breaks computed on the training!
if(!is.null(data$Test)) {
min_val = min(data$Test[,col])-1
max_val = max(data$Test[,col])+1
data$Test[,col_cut] <- h2o.setLevels(h2o.cut(x = data$Test[,col],breaks=c(min_val,breaks,max_val)),lvls)
}
if(!is.null(data$Valid)) {
min_val = min(data$Valid[,col])-1
max_val = max(data$Valid[,col])+1
data$Valid[,col_cut] <- h2o.setLevels(h2o.cut(x = data$Valid[,col],breaks=c(min_val,breaks,max_val)),lvls)
}
data
}
make interaction
interactions <- function(data, cols, pairwise = TRUE) {
iii = h2o.interaction(data = data$Train, destination_frame = "itrain",factors = cols,pairwise=pairwise,max_factors=1000,min_occurrence=100)
data$Train <- h2o.cbind(data$Train,iii)
if(!is.null(data$Test)) {
iii = h2o.interaction(data = data$Test, destination_frame = "itest",factors = cols,pairwise=pairwise,max_factors=1000,min_occurrence=100)
data$Test <- h2o.cbind(data$Test,iii)
}
if(!is.null(data$Valid)) {
iii = h2o.interaction(data = data$Valid, destination_frame = "ivalid",factors = cols,pairwise=pairwise,max_factors=1000,min_occurrence=100)
data$Valid <- h2o.cbind(data$Valid,iii)
}
data
}
add features to our ocer type example
add_features <- function(data) {
names(data) <- c("Train","Test","Valid")
data = cut_column(data,'Elevation')
data = cut_column(data,'Hillshade_Noon')
data = cut_column(data,'Hillshade_9am')
data = cut_column(data,'Hillshade_3pm')
data = cut_column(data,'Horizontal_Distance_To_Hydrology')
data = cut_column(data,'Slope')
data = cut_column(data,'Horizontal_Distance_To_Roadways')
data = cut_column(data,'Aspect')
# pairwise interactions between all categorical columns
interaction_cols = c("Elevation_cut","Wilderness_Area","Soil_Type","Hillshade_Noon_cut","Hillshade_9am_cut","Hillshade_3pm_cut","Horizontal_Distance_To_Hydrology_cut","Slope_cut","Horizontal_Distance_To_Roadways_cut","Aspect_cut")
data = interactions(data, interaction_cols)
# interactions between Hillshade columns
interaction_cols2 = c("Hillshade_Noon_cut","Hillshade_9am_cut","Hillshade_3pm_cut")
data = interactions(data, interaction_cols2,pairwise = FALSE)
data
}
add features
data_binomial_ext <- add_features(data_binomial)







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data_binomial_ext$Train <- h2o.assign(data_binomial_ext$Train,"train_b_ext")
data_binomial_ext$Valid <- h2o.assign(data_binomial_ext$Valid,"valid_b_ext")
data_binomial_ext$Test <- h2o.assign(data_binomial_ext$Test,"test_b_ext")
y = "Cover_Type"
x = names(data_binomial_ext$Train)
x = x[-which(x==y)]
build model
h2o.auc(m_binomial_1_ext,valid=TRUE)
[1] 0.9003605
try adjust lambda
m_binomial_2_ext = h2o.glm(training_frame = data_binomial_ext$Train, validation_frame = data_binomial_ext$Valid, x = x, y = y, family='binomial', solver='L_BFGS', lambda=1e-4)
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h2o.confusionMatrix(m_binomial_2_ext, valid=TRUE)
Confusion Matrix (vertical: actual; across: predicted) for max f1 @ threshold = 0.436429755974436:
class_1 class_2 Error Rate
class_1 22404 9326 0.293917 =9326/31730
class_2 3946 38449 0.093077 =3946/42395
Totals 26350 47775 0.179049 =13272/74125
h2o.auc(m_binomial_2_ext,valid=TRUE)
[1] 0.9032734
try adjust other parameters
m_binomial_3_ext = h2o.glm(training_frame = data_binomial_ext$Train, validation_frame = data_binomial_ext$Valid, x = x, y = y, family='binomial', lambda_search=TRUE)
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h2o.confusionMatrix(m_binomial_3_ext, valid=TRUE)
Confusion Matrix (vertical: actual; across: predicted) for max f1 @ threshold = 0.431418064129616:
class_1 class_2 Error Rate
class_1 22316 9414 0.296691 =9414/31730
class_2 3897 38498 0.091921 =3897/42395
Totals 26213 47912 0.179575 =13311/74125
h2o.auc(m_binomial_3_ext,valid=TRUE)
[1] 0.9038901
multinomial model 2
h2o.confusionMatrix(m2, valid=TRUE)
Confusion Matrix: Row labels: Actual class; Column labels: Predicted class
class_1 class_2 class_3 class_4 class_5 class_6 class_7 Error Rate
class_1 23526 7668 4 0 26 20 551 0.2601 = 8,269 / 31,795
class_2 5283 36639 375 3 193 218 63 0.1434 = 6,135 / 42,774
class_3 0 393 4349 128 8 396 0 0.1754 = 925 / 5,274
class_4 0 1 83 288 0 19 0 0.2634 = 103 / 391
class_5 47 798 38 0 509 6 0 0.6359 = 889 / 1,398
class_6 6 423 812 40 2 1216 0 0.5134 = 1,283 / 2,499
class_7 590 37 0 0 0 0 2443 0.2042 = 627 / 3,070
Totals 29452 45959 5661 459 738 1875 3057 0.2091 = 18,231 / 87,201
---
title: "Prediction of forest coverage"
output: html_notebook
---


#load library
```{r}
library(h2o)
h2o.init()
h2o.removeAll()
```

#import cover type data
```{r}
D = h2o.importFile(path ="C:\\Users\\r631758\\Desktop\\r631758\\R codes\\H2O\\exercise\\covtype.full.csv", parse=TRUE)
h2o.summary(D)
D.R<-as.data.frame(D)
```

#split data
```{r}
data=h2o.splitFrame(D,ratios=c(.7,.15), destination_frames = c("train","test","valid"))
names(data)<-c("Train","Test","Valid")

```

#multinomial model
```{r}
y="Cover_Type"
x=names(data$Train)
x=x[-which(x==y)]
start=Sys.time()
glm1 = h2o.glm(training_frame = data$Train, validation_frame = data$Valid, x = x, y = y,family='multinomial',solver='L_BFGS')
glm_time<-Sys.time()-start
print(paste("Took", round(glm_time, digits=2), units(glm_time), "to build multinomail regression model."))
h2o.confusionMatrix(glm1, valid=TRUE)
```

#disable regularization of the glm model
#http://docs.h2o.ai/h2o/latest-stable/h2o-docs/data-science/algo-params/lambda.html
```{r}
start=Sys.time()
glm2 = h2o.glm(training_frame = data$Train, validation_frame = data$Valid, x = x, y = y,family='multinomial',solver='L_BFGS', lambda=0)
glm_time<-Sys.time()-start
print(paste("Took", round(glm_time, digits=2), units(glm_time), "to build multinomail regression model."))
h2o.confusionMatrix(glm2, valid=FALSE) # get confusion matrix in the training data
h2o.confusionMatrix(glm2, valid=TRUE) # get confusion matrix in the test data

```

#try binomial model
```{r}
D_binomial=D[D$Cover_Type %in% c("class_1","class_2"),]
h2o.setLevels(D_binomial$Cover_Type, c("class_1","class_2"))
#split to train/test/validation again
data_binomial<-h2o.splitFrame(D_binomial,ratio=c(.7,.15), destination_frames = c("train_b","test_b","valid_b"))
names(data_binomial)<-c("Train","Test","Valid")

```

#run binomial model
```{r}
m_binomial = h2o.glm(training_frame = data_binomial$Train, validation_frame = data_binomial$Valid, x = x, y = y, family='binomial',lambda=0)
h2o.confusionMatrix(m_binomial, valid = FALSE)
h2o.confusionMatrix(m_binomial, valid = TRUE)
```

#ROC curve
```{r}
fpr = m_binomial@model$training_metrics@metrics$thresholds_and_metric_scores$fpr
tpr = m_binomial@model$training_metrics@metrics$thresholds_and_metric_scores$tpr
fpr_val = m_binomial@model$validation_metrics@metrics$thresholds_and_metric_scores$fpr
tpr_val = m_binomial@model$validation_metrics@metrics$thresholds_and_metric_scores$tpr
plot(fpr,tpr, type='l')
title('AUC')
lines(fpr_val,tpr_val,type='l',col='red')
legend("bottomright",c("Train", "Validation"),col=c("black","red"),lty=c(1,1),lwd=c(3,3))
h2o.auc(m_binomial,valid=FALSE) # on train                   
h2o.auc(m_binomial,valid=TRUE)  # on test
```

#threshold
#https://en.wikipedia.org/wiki/F1_score
```{r}
m_binomial@model$training_metrics@metrics$max_criteria_and_metric_scores
```

#bins
```{r}
cut_column <- function(data, col) {
  # need lower/upper bound due to h2o.cut behavior (points < the first break or > the last break are replaced with missing value) 
  min_val = min(data$Train[,col])-1
  max_val = max(data$Train[,col])+1
  x = h2o.hist(data$Train[, col])
  # use only the breaks with enough support
  breaks = x$breaks[which(x$counts > 1000)]
  # assign level names 
  lvls = c("min",paste("i_",breaks[2:length(breaks)-1],sep=""),"max")
  col_cut <- paste(col,"_cut",sep="")
  data$Train[,col_cut] <- h2o.setLevels(h2o.cut(x = data$Train[,col],breaks=c(min_val,breaks,max_val)),lvls)
  # now do the same for test and validation, but using the breaks computed on the training!
  if(!is.null(data$Test)) {
    min_val = min(data$Test[,col])-1
    max_val = max(data$Test[,col])+1
    data$Test[,col_cut] <- h2o.setLevels(h2o.cut(x = data$Test[,col],breaks=c(min_val,breaks,max_val)),lvls)
  }
  if(!is.null(data$Valid)) {
    min_val = min(data$Valid[,col])-1
    max_val = max(data$Valid[,col])+1
    data$Valid[,col_cut] <- h2o.setLevels(h2o.cut(x = data$Valid[,col],breaks=c(min_val,breaks,max_val)),lvls)
  }
  data
}
```

#make interaction
```{r}
interactions <- function(data, cols, pairwise = TRUE) {
  iii = h2o.interaction(data = data$Train, destination_frame = "itrain",factors = cols,pairwise=pairwise,max_factors=1000,min_occurrence=100)
  data$Train <- h2o.cbind(data$Train,iii)
  if(!is.null(data$Test)) {
    iii = h2o.interaction(data = data$Test, destination_frame = "itest",factors = cols,pairwise=pairwise,max_factors=1000,min_occurrence=100)
    data$Test <- h2o.cbind(data$Test,iii)
  }
  if(!is.null(data$Valid)) {
    iii = h2o.interaction(data = data$Valid, destination_frame = "ivalid",factors = cols,pairwise=pairwise,max_factors=1000,min_occurrence=100)
    data$Valid <- h2o.cbind(data$Valid,iii)
  }
  data
}
```

#add features to our ocer type example
```{r}
add_features <- function(data) {
  names(data) <- c("Train","Test","Valid")
  data = cut_column(data,'Elevation')
  data = cut_column(data,'Hillshade_Noon')
  data = cut_column(data,'Hillshade_9am')
  data = cut_column(data,'Hillshade_3pm')
  data = cut_column(data,'Horizontal_Distance_To_Hydrology')
  data = cut_column(data,'Slope')
  data = cut_column(data,'Horizontal_Distance_To_Roadways')
  data = cut_column(data,'Aspect')
  # pairwise interactions between all categorical columns
  interaction_cols = c("Elevation_cut","Wilderness_Area","Soil_Type","Hillshade_Noon_cut","Hillshade_9am_cut","Hillshade_3pm_cut","Horizontal_Distance_To_Hydrology_cut","Slope_cut","Horizontal_Distance_To_Roadways_cut","Aspect_cut")
  data = interactions(data, interaction_cols)
  # interactions between Hillshade columns
  interaction_cols2 = c("Hillshade_Noon_cut","Hillshade_9am_cut","Hillshade_3pm_cut")
  data = interactions(data, interaction_cols2,pairwise = FALSE)
  data
}
```
#add features

```{r}
data_binomial_ext <- add_features(data_binomial)
data_binomial_ext$Train <- h2o.assign(data_binomial_ext$Train,"train_b_ext")
data_binomial_ext$Valid <- h2o.assign(data_binomial_ext$Valid,"valid_b_ext")
data_binomial_ext$Test <- h2o.assign(data_binomial_ext$Test,"test_b_ext")
y = "Cover_Type"
x = names(data_binomial_ext$Train)
x = x[-which(x==y)]
```

#build model
```{r}
m_binomial_1_ext = try(h2o.glm(training_frame = data_binomial_ext$Train, validation_frame = data_binomial_ext$Valid, x = x, y = y, family='binomial', solver='L_BFGS'))
h2o.confusionMatrix(m_binomial_1_ext)
h2o.auc(m_binomial_1_ext,valid=TRUE)
```

#try adjust lambda
```{r}
m_binomial_2_ext = h2o.glm(training_frame = data_binomial_ext$Train, validation_frame = data_binomial_ext$Valid, x = x, y = y, family='binomial', solver='L_BFGS', lambda=1e-4)
h2o.confusionMatrix(m_binomial_2_ext, valid=TRUE)
h2o.auc(m_binomial_2_ext,valid=TRUE)
```

#try adjust other parameters
```{r}
m_binomial_3_ext = h2o.glm(training_frame = data_binomial_ext$Train, validation_frame = data_binomial_ext$Valid, x = x, y = y, family='binomial', lambda_search=TRUE)
h2o.confusionMatrix(m_binomial_3_ext, valid=TRUE)
h2o.auc(m_binomial_3_ext,valid=TRUE)
```

#multinomial model 2
```{r}
# let's revisit the multinomial case with our new features
data_ext <- add_features(data)
data_ext$Train <- h2o.assign(data_ext$Train,"train_m_ext")
data_ext$Valid <- h2o.assign(data_ext$Valid,"valid_m_ext")
data_ext$Test <- h2o.assign(data_ext$Test,"test_m_ext")
y = "Cover_Type"
x = names(data_ext$Train)
x = x[-which(x==y)]
m2 = h2o.glm(training_frame = data_ext$Train, validation_frame = data_ext$Valid, x = x, y = y,family='multinomial',solver='L_BFGS',lambda=1e-4)
# 21% err down from 28%
h2o.confusionMatrix(m2, valid=TRUE)

```

#https://github.com/h2oai/h2o-tutorials/blob/master/tutorials/glm/glm.md
