From 9cffa4fc80f8ba6b81002371fdff80a00898ed0c Mon Sep 17 00:00:00 2001 From: Leonard Greski Date: Sat, 15 Oct 2016 15:30:13 -0400 Subject: [PATCH 1/9] change cores to n - 1 --- index.Rmd | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/index.Rmd b/index.Rmd index 714523d..87cabea 100644 --- a/index.Rmd +++ b/index.Rmd @@ -207,7 +207,7 @@ library(iterators) library(parallel) library(foreach) library(doParallel) -cluster <- makeCluster(detectCores()) +cluster <- makeCluster(detectCores()-1) registerDoParallel(cluster) ``` @@ -233,7 +233,7 @@ confusionMatrix(pred1,training$classe) library(randomForest) intervalStart <- Sys.time() mod2Control <- trainControl(method="cv",number=5,allowParallel=TRUE) -modFit2 <- train(classe ~ .,data=training,method="rf",trControl=mod2Control) +system.time(modFit2 <- train(classe ~ .,data=training,method="rf",trControl=mod2Control)) intervalEnd <- Sys.time() print(modFit2) paste("Train model2 took: ",intervalEnd - intervalStart,attr(intervalEnd - intervalStart,"units")) From a30cac65c8f8aa666fbce65c72b1cfd763590a0f Mon Sep 17 00:00:00 2001 From: Len Greski Date: Sat, 5 Aug 2017 09:53:28 -0400 Subject: [PATCH 2/9] Add Ugulino et al 2012 paper describing underlying data collection process --- 2012.Ugulino.WearableComputing.HAR.Data.PDF | Bin 0 -> 377863 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 2012.Ugulino.WearableComputing.HAR.Data.PDF diff --git a/2012.Ugulino.WearableComputing.HAR.Data.PDF b/2012.Ugulino.WearableComputing.HAR.Data.PDF new file mode 100644 index 0000000000000000000000000000000000000000..baf62d9cc9ce61fff12f7829c3f3ff1cf501569e GIT binary patch literal 377863 zcmagFV~}P`)3)8VZQHhO+qP}nwrykDwrx#&+U}m#J9FQA$NR*Gc>b)a$jX(471tFR z=aEIKARTFh4vB#X`V9U~gmv#lu5DFJo$F?qWf}`p2Y1Krd!# z<6`Rcr?oM3F%>a2wl^^);NydGc5yN_w1x5jtj*nW!d7<+ySYR0O@>k>ZJXcWkfTaf zXu`Fo;f^c8)Qu@uLV%FO2nK;oy7y4>4CN8jBd|}-_RRPB=37A(k1(<$1=PX``s*oP5!VZ=(ki<&;tjJ~GI*i)wdT~|KRd}CgH 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64Ta1c%fC7REwU7#d^-#CpL#qM`$}8PZ0e zUc=%MdjVhsWZg-rbExJc;2~rzL4)jp%oSj{I4a$PauQrGwB1HT0;oo}W0d+7Szlp5 z1wy%=X{&t!M!+C+3PLO%Sx*9tDhFUF=>s_*ngj$y@W4P+bu8G?AOj=lK%I@O4?yir zmESN}U?QZ Date: Sat, 5 Aug 2017 11:38:00 -0400 Subject: [PATCH 3/9] updated run with R 3.4.1 --- index.Rmd | 8 +- index.html | 121 ++++++++++--------- index.md | 90 +++++++------- index_files/figure-html/plotErr-1.png | Bin 41485 -> 42713 bytes index_files/figure-html/plotRFAccuracy-1.png | Bin 40330 -> 39275 bytes index_files/figure-html/varImp-1.png | Bin 66943 -> 64945 bytes 6 files changed, 112 insertions(+), 107 deletions(-) diff --git a/index.Rmd b/index.Rmd index eba508f..fcc198b 100644 --- a/index.Rmd +++ b/index.Rmd @@ -18,11 +18,11 @@ output: ## Executive Summary -Classification of data from the [Qualitative Activity Recognition of Weight Lifting Exercises](http://groupware.les.inf.puc-rio.br/work.jsf?p1=11201) study to predict exercise quality for unknown observations from the study resulted in a 100% accuracy rate with a random forest technique. Key findings included: +Classification of data from the [Qualitative Activity Recognition of Weight Lifting Exercises](https://github.com/lgreski/practicalmachinelearning/blob/gh-pages/2013.Velloso.QAR-WLE.pdf) study to predict exercise quality for unknown observations from the study resulted in a 100% accuracy rate with a random forest technique. Key findings included: * Fully 62.5% of the data in the dataset was unusable, due to the high rates of missing values, * Of the remaining 60 variables, 54 were used to predict the values of the quality variable, `classe`, and -* A random forest model with 30 variables achieved 99.45% accuracy, correctly identifying 20 out of 20 unknown test cases. +* A random forest model with 30 variables achieved 99.71% accuracy, correctly identifying 20 out of 20 unknown test cases. ## Online Versions @@ -105,7 +105,7 @@ The random forest technique generates multiple predictive models, and aggregates # run RF model ``` -The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9967, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart. +The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9971, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart. ```{r plotRFAccuracy, echo=FALSE, warning=FALSE} plot(modFit2, @@ -133,7 +133,7 @@ Given the accuracy level achieved via cross-validation of the model against mult ## Results -The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.67% of the test cases, incorrectly classifying only 26 of the 7,846 observations. The error rate for the test data set is only 0.33%, giving us a .936 probability that the model would correctly classify all 20 validation cases. +The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.71% of the test cases, incorrectly classifying only 23 of the 7,846 observations. The error rate for the test data set is only 0.29%, giving us a .944 probability that the model would correctly classify all 20 validation cases. Finally, our accuracy at predicting the 20 cases in the validation data set was 100%. All in all, a good effort for our first attempt at a random forest. diff --git a/index.html b/index.html index 3767b82..3a8d4ec 100644 --- a/index.html +++ b/index.html @@ -4,7 +4,7 @@ - + @@ -21,10 +21,11 @@ + + + - - +

- @@ -476,7 +481,7 @@

References

(function () { var script = document.createElement("script"); script.type = "text/javascript"; - script.src = "https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"; + script.src = "https://mathjax.rstudio.com/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"; document.getElementsByTagName("head")[0].appendChild(script); })(); diff --git a/index.md b/index.md index f3c23b9..05ae61b 100644 --- a/index.md +++ b/index.md @@ -8,11 +8,11 @@ January 31, 2016 ## Executive Summary -Classification of data from the [Qualitative Activity Recognition of Weight Lifting Exercises](http://groupware.les.inf.puc-rio.br/work.jsf?p1=11201) study to predict exercise quality for unknown observations from the study resulted in a 100% accuracy rate with a random forest technique. Key findings included: +Classification of data from the [Qualitative Activity Recognition of Weight Lifting Exercises](https://github.com/lgreski/practicalmachinelearning/blob/gh-pages/2013.Velloso.QAR-WLE.pdf) study to predict exercise quality for unknown observations from the study resulted in a 100% accuracy rate with a random forest technique. Key findings included: * Fully 62.5% of the data in the dataset was unusable, due to the high rates of missing values, * Of the remaining 60 variables, 54 were used to predict the values of the quality variable, `classe`, and -* A random forest model with 30 variables achieved 99.45% accuracy, correctly identifying 20 out of 20 unknown test cases. +* A random forest model with 30 variables achieved 99.71% accuracy, correctly identifying 20 out of 20 unknown test cases. ## Online Versions @@ -68,7 +68,7 @@ We begin the predictive modeling exercise with a simple classification model bas ``` -## [1] "Train model1 took: 2.43909597396851 secs" +## [1] "Train model1 took: 3.49021577835083 secs" ``` ``` @@ -76,33 +76,33 @@ We begin the predictive modeling exercise with a simple classification model bas ## ## Reference ## Prediction A B C D E -## A 2826 186 40 26 75 -## B 162 1612 191 73 180 -## C 186 301 1678 338 153 -## D 174 148 134 1389 153 -## E 0 32 11 104 1604 +## A 2857 313 182 99 73 +## B 90 1526 189 78 248 +## C 179 297 1424 253 142 +## D 220 71 228 1479 187 +## E 2 72 31 21 1515 ## ## Overall Statistics ## -## Accuracy : 0.7735 -## 95% CI : (0.7659, 0.7811) +## Accuracy : 0.7474 +## 95% CI : (0.7394, 0.7552) ## No Information Rate : 0.2843 ## P-Value [Acc > NIR] : < 2.2e-16 ## -## Kappa : 0.7144 +## Kappa : 0.6802 ## Mcnemar's Test P-Value : < 2.2e-16 ## ## Statistics by Class: ## ## Class: A Class: B Class: C Class: D Class: E -## Sensitivity 0.8441 0.7073 0.8169 0.7197 0.7409 -## Specificity 0.9612 0.9362 0.8994 0.9381 0.9847 -## Pos Pred Value 0.8963 0.7268 0.6318 0.6952 0.9160 -## Neg Pred Value 0.9395 0.9302 0.9588 0.9447 0.9440 +## Sensitivity 0.8533 0.6696 0.6933 0.7663 0.6998 +## Specificity 0.9209 0.9363 0.9104 0.9283 0.9869 +## Pos Pred Value 0.8107 0.7161 0.6205 0.6769 0.9232 +## Neg Pred Value 0.9405 0.9219 0.9336 0.9530 0.9359 ## Prevalence 0.2843 0.1935 0.1744 0.1639 0.1838 -## Detection Rate 0.2400 0.1369 0.1425 0.1180 0.1362 -## Detection Prevalence 0.2677 0.1883 0.2255 0.1697 0.1487 -## Balanced Accuracy 0.9026 0.8218 0.8582 0.8289 0.8628 +## Detection Rate 0.2426 0.1296 0.1209 0.1256 0.1287 +## Detection Prevalence 0.2993 0.1810 0.1949 0.1855 0.1394 +## Balanced Accuracy 0.8871 0.8029 0.8018 0.8473 0.8433 ``` The model has an overall accuracy of 75%, with the highest sensitivity being .85 for classifying an exercise as class A when it is indeed A. The model performs worst on class B, with only 67% sensitivity. The confusion matrix illustrates that a classification model based on linear discriminant analysis does not have sufficient accuracy for us to expect perfect or near-perfect classification of our unknown validation cases. @@ -143,20 +143,20 @@ The random forest technique generates multiple predictive models, and aggregates ## ## No pre-processing ## Resampling: Cross-Validated (5 fold) -## Summary of sample sizes: 9420, 9420, 9420, 9422, 9422 +## Summary of sample sizes: 9420, 9420, 9423, 9421, 9420 ## Resampling results across tuning parameters: ## ## mtry Accuracy Kappa -## 2 0.9878570 0.9846366 -## 30 0.9932913 0.9915143 -## 58 0.9880262 0.9848539 +## 2 0.9904033 0.9878600 +## 30 0.9948199 0.9934474 +## 58 0.9903188 0.9877532 ## ## Accuracy was used to select the optimal model using the largest value. ## The final value used for the model was mtry = 30. ``` ``` -## [1] "Train model2 took: 5.8085341334343 mins" +## [1] "Train model2 took: 6.16253748337428 mins" ``` ``` @@ -202,36 +202,36 @@ The random forest technique generates multiple predictive models, and aggregates ## ## Reference ## Prediction A B C D E -## A 2228 7 0 2 0 -## B 1 1502 5 0 3 -## C 2 8 1362 11 0 -## D 1 1 1 1272 0 -## E 0 0 0 1 1439 +## A 2231 7 0 0 0 +## B 0 1510 6 0 0 +## C 0 1 1362 3 0 +## D 0 0 0 1283 5 +## E 1 0 0 0 1437 ## ## Overall Statistics -## -## Accuracy : 0.9945 -## 95% CI : (0.9926, 0.996) -## No Information Rate : 0.2845 -## P-Value [Acc > NIR] : < 2.2e-16 -## -## Kappa : 0.9931 -## Mcnemar's Test P-Value : NA +## +## Accuracy : 0.9971 +## 95% CI : (0.9956, 0.9981) +## No Information Rate : 0.2845 +## P-Value [Acc > NIR] : < 2.2e-16 +## +## Kappa : 0.9963 +## Mcnemar's Test P-Value : NA ## ## Statistics by Class: ## ## Class: A Class: B Class: C Class: D Class: E -## Sensitivity 0.9982 0.9895 0.9956 0.9891 0.9979 -## Specificity 0.9984 0.9986 0.9968 0.9995 0.9998 -## Pos Pred Value 0.9960 0.9940 0.9848 0.9976 0.9993 -## Neg Pred Value 0.9993 0.9975 0.9991 0.9979 0.9995 +## Sensitivity 0.9996 0.9947 0.9956 0.9977 0.9965 +## Specificity 0.9988 0.9991 0.9994 0.9992 0.9998 +## Pos Pred Value 0.9969 0.9960 0.9971 0.9961 0.9993 +## Neg Pred Value 0.9998 0.9987 0.9991 0.9995 0.9992 ## Prevalence 0.2845 0.1935 0.1744 0.1639 0.1838 -## Detection Rate 0.2840 0.1914 0.1736 0.1621 0.1834 -## Detection Prevalence 0.2851 0.1926 0.1763 0.1625 0.1835 -## Balanced Accuracy 0.9983 0.9940 0.9962 0.9943 0.9989 +## Detection Rate 0.2843 0.1925 0.1736 0.1635 0.1832 +## Detection Prevalence 0.2852 0.1932 0.1741 0.1642 0.1833 +## Balanced Accuracy 0.9992 0.9969 0.9975 0.9985 0.9982 ``` -The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9967, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart. +The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9971, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart. ![](index_files/figure-html/plotRFAccuracy-1.png) @@ -249,7 +249,7 @@ Given the accuracy level achieved via cross-validation of the model against mult ## Results -The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.67% of the test cases, incorrectly classifying only 26 of the 7,846 observations. The error rate for the test data set is only 0.33%, giving us a .936 probability that the model would correctly classify all 20 validation cases. +The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.71% of the test cases, incorrectly classifying only 23 of the 7,846 observations. The error rate for the test data set is only 0.29%, giving us a .944 probability that the model would correctly classify all 20 validation cases. Finally, our accuracy at predicting the 20 cases in the validation data set was 100%. 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zgZ3`M)T34hJc!s}uMF%44L;Jc)LsL`#Y8sp{a|JJ}%aBlaX&I^wGK@o6gJJ4A zWzY+0g1*LN)NEndf=dCGAqUrA=i}C2Y+YU}wJ~6Iu!)9eZBG4GQaxx%zGw16b20|c zO6G}&p4AEUC-8dGWP-P6zj|*PG=TD%ei zjS@1QY&`|`_%X^sof46qF!lDB3FuyGkGs#xwF=)5WsCpxbjy+aOhml_2(EHqIJ+uz zVyUS6MxJ;{q-qt8!n_7-sL~8EHC%V&7ZcR<rZ!ckKPtG;gIvv=MJ%kLIo4%Podz_8S|x@6C+FP9Gwf2^OwpbLvzzQOWzkN2$RGs3y=NkY1= z_A3F)1}MG!uO+`x#z&B}#_XFTw|yLlgc8;8l|ARPH&P!nua#plH;SwQzJ9t_PND9@ z+QZ_F)UIjeUl*i^$KpPqE%hz;Z( z->r9Q1aP+fRN>Yr^wsfZewt}pAV|hS#**9Abu^Fy9G@(&pp)z>%U9d zilz0M3gw%E^jK|Ly<^mToc#ne

Exercise Classification Frequency Across Subjects

Category A represents the exercises that were completed according to specification, approximately 28% of the total number of exercises measured across the six participants in the study. Exercise quality varies significantly within and between persons, as illustrated in the following barplot.

-

+

A successful classification model will not only predict whether the exercise was completed correctly (classe A vs. B through E), but also correctly classify the type of error made if the exercise was completed in error. For the purposes of our assignment, our machine learning algorithm must predict the values of 20 unknown observations. Therefore, we’ll need a model with over 95% accuracy in order to achieve 20 successful classifications for the 20 observations, since the probability of achieving 20 out of 20 correct predictions is \(p^{20}\), and \(0.95^{20} = 0.36\). At 99% accuracy, we estimate a .80 probability of 20 out of 20 matches.

A run of summary statistics on the independent training dataset shows that 100 of the 160 variables in the data set are missing for all of the observations. We will eliminate these from the analysis because there is no way to devise a meaningful missing value imputation strategy for these variables. We will also remove the date and time variables (raw_timestamp_part_1, raw_timestamp_part_2, and cvtd_timestamp) and new_window, because new_window was distributed as 2% “yes” and 98% “no”. Therefore it would not likely be a good variable to classify exercises into exercise quality levels. We also include the factor variable representing each individual’s name as part of the model, to see whether accounting for within-person variability in the quality of the exercises is of any value in predicting the result.

All of the remaining numeric variables have no missing values, so imputation of missing values is not required in order to increase the number of features included in the analysis.

@@ -197,7 +197,7 @@

Cross-Validation & Out of Sample Error Estimation

Model 1: Linear Discriminant Analysis

We begin the predictive modeling exercise with a simple classification model based on linear discriminant analysis. We chose this approach because it is a relatively simple model that can serve as a baseline for prediction accuracy.

-
## [1] "Train model1 took:  3.49021577835083 secs"
+
## [1] "Train model1 took:  3.18626594543457 secs"
## Confusion Matrix and Statistics
 ## 
 ##           Reference
@@ -234,13 +234,8 @@ 

Model 1: Linear Discriminant Analysis

Model 2: Random Forest

The random forest technique generates multiple predictive models, and aggregates them to create a final result. Random forests have a high degree of predictive power, and can be tuned according to a variety of parameters, including a range of choices for estimating out of sample error from k-fold cross validation to leave one out bootstrapping. As we did with the linear discriminant analysis, we use k-fold cross validation with five folds.

-
## randomForest 4.6-12
-
## Type rfNews() to see new features/changes/bug fixes.
-
## 
-## Attaching package: 'randomForest'
-
## The following object is masked from 'package:ggplot2':
-## 
-##     margin
+
##    user  system elapsed 
+##   46.21    0.33  377.27
## Random Forest 
 ## 
 ## 11776 samples
@@ -249,17 +244,17 @@ 

Model 2: Random Forest

## ## No pre-processing ## Resampling: Cross-Validated (5 fold) -## Summary of sample sizes: 9420, 9420, 9423, 9421, 9420 +## Summary of sample sizes: 9420, 9421, 9420, 9423, 9420 ## Resampling results across tuning parameters: ## ## mtry Accuracy Kappa -## 2 0.9904033 0.9878600 -## 30 0.9948199 0.9934474 -## 58 0.9903188 0.9877532 +## 2 0.9910838 0.9887205 +## 30 0.9953294 0.9940922 +## 58 0.9923575 0.9903324 ## -## Accuracy was used to select the optimal model using the largest value. +## Accuracy was used to select the optimal model using the largest value. ## The final value used for the model was mtry = 30.
-
## [1] "Train model2 took:  6.16253748337428 mins"
+
## [1] "Train model2 took:  6.29260436693827 mins"
## Confusion Matrix and Statistics
 ## 
 ##           Reference
@@ -296,39 +291,39 @@ 

Model 2: Random Forest

## ## Reference ## Prediction A B C D E -## A 2231 7 0 0 0 -## B 0 1510 6 0 0 +## A 2231 8 0 0 0 +## B 0 1509 6 0 0 ## C 0 1 1362 3 0 -## D 0 0 0 1283 5 -## E 1 0 0 0 1437 +## D 0 0 0 1283 6 +## E 1 0 0 0 1436 ## ## Overall Statistics ## -## Accuracy : 0.9971 -## 95% CI : (0.9956, 0.9981) +## Accuracy : 0.9968 +## 95% CI : (0.9953, 0.9979) ## No Information Rate : 0.2845 ## P-Value [Acc > NIR] : < 2.2e-16 ## -## Kappa : 0.9963 +## Kappa : 0.996 ## Mcnemar's Test P-Value : NA ## ## Statistics by Class: ## ## Class: A Class: B Class: C Class: D Class: E -## Sensitivity 0.9996 0.9947 0.9956 0.9977 0.9965 -## Specificity 0.9988 0.9991 0.9994 0.9992 0.9998 -## Pos Pred Value 0.9969 0.9960 0.9971 0.9961 0.9993 -## Neg Pred Value 0.9998 0.9987 0.9991 0.9995 0.9992 +## Sensitivity 0.9996 0.9941 0.9956 0.9977 0.9958 +## Specificity 0.9986 0.9991 0.9994 0.9991 0.9998 +## Pos Pred Value 0.9964 0.9960 0.9971 0.9953 0.9993 +## Neg Pred Value 0.9998 0.9986 0.9991 0.9995 0.9991 ## Prevalence 0.2845 0.1935 0.1744 0.1639 0.1838 -## Detection Rate 0.2843 0.1925 0.1736 0.1635 0.1832 -## Detection Prevalence 0.2852 0.1932 0.1741 0.1642 0.1833 -## Balanced Accuracy 0.9992 0.9969 0.9975 0.9985 0.9982
-

The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9971, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart.

-

+## Detection Rate 0.2843 0.1923 0.1736 0.1635 0.1830 +## Detection Prevalence 0.2854 0.1931 0.1741 0.1643 0.1832 +## Balanced Accuracy 0.9991 0.9966 0.9975 0.9984 0.9978
+

The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9968, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart.

+

The final model selected by the algorithm quickly minimizes the error term, stabilizing below 0.02 after approximately 50 trees. As trees are added beyond 50, they do not appear to meaningfully reduce the error. There is also little variability in the error term across folds, as illustrated by the following plot.

-

+

The relative importance of the variables is illustrated by the following variable importance plot. The seven most important variables include num_window, roll_belt, pitch_forearm, yaw_belt, magnet_drumbell_z, magnet_drumbell_y, and pitch_belt, each of which decreases the mean node impurity by at least 500, whereas the remaining variables decrease node impurity by less than 500, using the summed and normalized Gini Coefficient. See Dinsdale and Edwards \(2015\) for additional background on the Gini Coefficient in the random forest variable importance.

-

+

Expected Out of Sample Error

Given the accuracy level achieved via cross-validation of the model against multiple folds of the training data set, we expect the out of sample error rate to be less than 1%. Therefore, we estimate a 0.936 probability that we will correctly classify all 20 of the validation cases.

@@ -336,7 +331,7 @@

Expected Out of Sample Error

Results

-

The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.71% of the test cases, incorrectly classifying only 23 of the 7,846 observations. The error rate for the test data set is only 0.29%, giving us a .944 probability that the model would correctly classify all 20 validation cases.

+

The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.68% of the test cases, incorrectly classifying only 23 of the 7,846 observations. The error rate for the test data set is only 0.32%, giving us a .938 probability that the model would correctly classify all 20 validation cases.

Finally, our accuracy at predicting the 20 cases in the validation data set was 100%. All in all, a good effort for our first attempt at a random forest.

@@ -358,14 +353,14 @@

Appendix

mode="w") # use mode "w" for text } } -
library(lattice)
-library(MASS)
-library(ggplot2)
-library(grid)
-library(readr)
-library(knitr)
-library(caret)
-library(YaleToolkit)
+
library(lattice,quietly=TRUE)
+library(MASS,quietly=TRUE)
+library(ggplot2,quietly=TRUE)
+library(grid,quietly=TRUE)
+library(readr,quietly=TRUE)
+library(knitr,quietly=TRUE)
+library(caret,quietly=TRUE)
+library(YaleToolkit,quietly=TRUE)
 string40 <-  "ncnnccnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn"
 string80 <-  "nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn"
 string120 <- "nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn"
@@ -395,11 +390,11 @@ 

Appendix

trainIndex <- createDataPartition(originalSubset$classe,p=.60,list=FALSE) training <- originalSubset[trainIndex,] testing <- originalSubset[-trainIndex,]
-
library(iterators)
-library(parallel)
-library(foreach)
-library(doParallel)
-cluster <- makeCluster(detectCores())
+
library(iterators,quietly=TRUE)
+library(parallel,quietly=TRUE)
+library(foreach,quietly=TRUE)
+library(doParallel,quietly=TRUE)
+cluster <- makeCluster(detectCores()-1)
 registerDoParallel(cluster)
yvars <- training[,55]
 xvars <- training[,-55]
@@ -415,10 +410,10 @@ 

Appendix

# predicted_test <- predict(modFit1,testing) # confusionMatrix(predicted_test,testing$classe) # predicted_validation <- predict(modFit,validation)
-
library(randomForest)
+
suppressPackageStartupMessages(library(randomForest,quietly=TRUE))
 intervalStart <- Sys.time()
 mod2Control <- trainControl(method="cv",number=5,allowParallel=TRUE)
-modFit2 <- train(classe ~ .,data=training,method="rf",trControl=mod2Control)
+system.time(modFit2 <- train(classe ~ .,data=training,method="rf",trControl=mod2Control))
 intervalEnd <- Sys.time()
 print(modFit2)
 paste("Train model2 took: ",intervalEnd - intervalStart,attr(intervalEnd - intervalStart,"units"))
@@ -449,6 +444,53 @@ 

Appendix

} predicted_chars <- as.character(predicted_validation) pml_write_files(predicted_chars)
+
sessionInfo()
+
## R version 3.4.2 (2017-09-28)
+## Platform: x86_64-w64-mingw32/x64 (64-bit)
+## Running under: Windows 10 x64 (build 15063)
+## 
+## Matrix products: default
+## 
+## locale:
+## [1] LC_COLLATE=English_United States.1252 
+## [2] LC_CTYPE=English_United States.1252   
+## [3] LC_MONETARY=English_United States.1252
+## [4] LC_NUMERIC=C                          
+## [5] LC_TIME=English_United States.1252    
+## 
+## attached base packages:
+## [1] parallel  grid      stats     graphics  grDevices utils     datasets 
+## [8] methods   base     
+## 
+## other attached packages:
+##  [1] randomForest_4.6-12 doParallel_1.0.11   foreach_1.4.3      
+##  [4] iterators_1.0.8     YaleToolkit_4.2.2   caret_6.0-77.9000  
+##  [7] knitr_1.17          readr_1.1.1         ggplot2_2.2.1      
+## [10] MASS_7.3-47         lattice_0.20-35    
+## 
+## loaded via a namespace (and not attached):
+##  [1] Rcpp_0.12.13       lubridate_1.6.0    tidyr_0.7.2       
+##  [4] class_7.3-14       assertthat_0.2.0   rprojroot_1.2     
+##  [7] digest_0.6.12      ipred_0.9-6        psych_1.7.8       
+## [10] R6_2.2.2           plyr_1.8.4         backports_1.1.1   
+## [13] stats4_3.4.2       e1071_1.6-8        evaluate_0.10.1   
+## [16] highr_0.6          rlang_0.1.2        lazyeval_0.2.0    
+## [19] kernlab_0.9-25     rpart_4.1-11       Matrix_1.2-11     
+## [22] rmarkdown_1.6      splines_3.4.2      CVST_0.2-1        
+## [25] ddalpha_1.3.1      gower_0.1.2        stringr_1.2.0     
+## [28] foreign_0.8-69     munsell_0.4.3      broom_0.4.2       
+## [31] compiler_3.4.2     pkgconfig_2.0.1    mnormt_1.5-5      
+## [34] dimRed_0.1.0       htmltools_0.3.6    nnet_7.3-12       
+## [37] tidyselect_0.2.2   tibble_1.3.4       prodlim_1.6.1     
+## [40] DRR_0.0.2          codetools_0.2-15   RcppRoll_0.2.2    
+## [43] withr_2.0.0        dplyr_0.7.4        recipes_0.1.0.9000
+## [46] ModelMetrics_1.1.0 nlme_3.1-131       gtable_0.2.0      
+## [49] magrittr_1.5       scales_0.5.0       stringi_1.1.5     
+## [52] reshape2_1.4.2     bindrcpp_0.2       timeDate_3012.100 
+## [55] robustbase_0.92-7  lava_1.5.1         tools_3.4.2       
+## [58] glue_1.1.1         DEoptimR_1.0-8     purrr_0.2.4       
+## [61] sfsmisc_1.1-1      hms_0.3            survival_2.41-3   
+## [64] yaml_2.1.14        colorspace_1.3-2   bindr_0.1

References

diff --git a/index.md b/index.md index 05ae61b..08fca7b 100644 --- a/index.md +++ b/index.md @@ -68,7 +68,7 @@ We begin the predictive modeling exercise with a simple classification model bas ``` -## [1] "Train model1 took: 3.49021577835083 secs" +## [1] "Train model1 took: 3.18626594543457 secs" ``` ``` @@ -116,22 +116,8 @@ The random forest technique generates multiple predictive models, and aggregates ``` -## randomForest 4.6-12 -``` - -``` -## Type rfNews() to see new features/changes/bug fixes. -``` - -``` -## -## Attaching package: 'randomForest' -``` - -``` -## The following object is masked from 'package:ggplot2': -## -## margin +## user system elapsed +## 46.21 0.33 377.27 ``` ``` @@ -143,20 +129,20 @@ The random forest technique generates multiple predictive models, and aggregates ## ## No pre-processing ## Resampling: Cross-Validated (5 fold) -## Summary of sample sizes: 9420, 9420, 9423, 9421, 9420 +## Summary of sample sizes: 9420, 9421, 9420, 9423, 9420 ## Resampling results across tuning parameters: ## ## mtry Accuracy Kappa -## 2 0.9904033 0.9878600 -## 30 0.9948199 0.9934474 -## 58 0.9903188 0.9877532 +## 2 0.9910838 0.9887205 +## 30 0.9953294 0.9940922 +## 58 0.9923575 0.9903324 ## -## Accuracy was used to select the optimal model using the largest value. +## Accuracy was used to select the optimal model using the largest value. ## The final value used for the model was mtry = 30. ``` ``` -## [1] "Train model2 took: 6.16253748337428 mins" +## [1] "Train model2 took: 6.29260436693827 mins" ``` ``` @@ -202,36 +188,36 @@ The random forest technique generates multiple predictive models, and aggregates ## ## Reference ## Prediction A B C D E -## A 2231 7 0 0 0 -## B 0 1510 6 0 0 +## A 2231 8 0 0 0 +## B 0 1509 6 0 0 ## C 0 1 1362 3 0 -## D 0 0 0 1283 5 -## E 1 0 0 0 1437 +## D 0 0 0 1283 6 +## E 1 0 0 0 1436 ## ## Overall Statistics ## -## Accuracy : 0.9971 -## 95% CI : (0.9956, 0.9981) +## Accuracy : 0.9968 +## 95% CI : (0.9953, 0.9979) ## No Information Rate : 0.2845 ## P-Value [Acc > NIR] : < 2.2e-16 ## -## Kappa : 0.9963 +## Kappa : 0.996 ## Mcnemar's Test P-Value : NA ## ## Statistics by Class: ## ## Class: A Class: B Class: C Class: D Class: E -## Sensitivity 0.9996 0.9947 0.9956 0.9977 0.9965 -## Specificity 0.9988 0.9991 0.9994 0.9992 0.9998 -## Pos Pred Value 0.9969 0.9960 0.9971 0.9961 0.9993 -## Neg Pred Value 0.9998 0.9987 0.9991 0.9995 0.9992 +## Sensitivity 0.9996 0.9941 0.9956 0.9977 0.9958 +## Specificity 0.9986 0.9991 0.9994 0.9991 0.9998 +## Pos Pred Value 0.9964 0.9960 0.9971 0.9953 0.9993 +## Neg Pred Value 0.9998 0.9986 0.9991 0.9995 0.9991 ## Prevalence 0.2845 0.1935 0.1744 0.1639 0.1838 -## Detection Rate 0.2843 0.1925 0.1736 0.1635 0.1832 -## Detection Prevalence 0.2852 0.1932 0.1741 0.1642 0.1833 -## Balanced Accuracy 0.9992 0.9969 0.9975 0.9985 0.9982 +## Detection Rate 0.2843 0.1923 0.1736 0.1635 0.1830 +## Detection Prevalence 0.2854 0.1931 0.1741 0.1643 0.1832 +## Balanced Accuracy 0.9991 0.9966 0.9975 0.9984 0.9978 ``` -The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9971, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart. +The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9968, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart. ![](index_files/figure-html/plotRFAccuracy-1.png) @@ -249,7 +235,7 @@ Given the accuracy level achieved via cross-validation of the model against mult ## Results -The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.71% of the test cases, incorrectly classifying only 23 of the 7,846 observations. The error rate for the test data set is only 0.29%, giving us a .944 probability that the model would correctly classify all 20 validation cases. +The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.68% of the test cases, incorrectly classifying only 23 of the 7,846 observations. The error rate for the test data set is only 0.32%, giving us a .938 probability that the model would correctly classify all 20 validation cases. Finally, our accuracy at predicting the 20 cases in the validation data set was 100%. All in all, a good effort for our first attempt at a random forest. @@ -280,14 +266,14 @@ for (i in 1:length(theFiles)) { ```r -library(lattice) -library(MASS) -library(ggplot2) -library(grid) -library(readr) -library(knitr) -library(caret) -library(YaleToolkit) +library(lattice,quietly=TRUE) +library(MASS,quietly=TRUE) +library(ggplot2,quietly=TRUE) +library(grid,quietly=TRUE) +library(readr,quietly=TRUE) +library(knitr,quietly=TRUE) +library(caret,quietly=TRUE) +library(YaleToolkit,quietly=TRUE) string40 <- "ncnnccnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn" string80 <- "nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn" string120 <- "nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn" @@ -321,11 +307,11 @@ testing <- originalSubset[-trainIndex,] ```r -library(iterators) -library(parallel) -library(foreach) -library(doParallel) -cluster <- makeCluster(detectCores()) +library(iterators,quietly=TRUE) +library(parallel,quietly=TRUE) +library(foreach,quietly=TRUE) +library(doParallel,quietly=TRUE) +cluster <- makeCluster(detectCores()-1) registerDoParallel(cluster) ``` @@ -349,10 +335,10 @@ confusionMatrix(pred1,training$classe) ```r -library(randomForest) +suppressPackageStartupMessages(library(randomForest,quietly=TRUE)) intervalStart <- Sys.time() mod2Control <- trainControl(method="cv",number=5,allowParallel=TRUE) -modFit2 <- train(classe ~ .,data=training,method="rf",trControl=mod2Control) +system.time(modFit2 <- train(classe ~ .,data=training,method="rf",trControl=mod2Control)) intervalEnd <- Sys.time() print(modFit2) paste("Train model2 took: ",intervalEnd - intervalStart,attr(intervalEnd - intervalStart,"units")) @@ -391,6 +377,60 @@ predicted_chars <- as.character(predicted_validation) pml_write_files(predicted_chars) ``` + +```r +sessionInfo() +``` + +``` +## R version 3.4.2 (2017-09-28) +## Platform: x86_64-w64-mingw32/x64 (64-bit) +## Running under: Windows 10 x64 (build 15063) +## +## Matrix products: default +## +## locale: +## [1] LC_COLLATE=English_United States.1252 +## [2] LC_CTYPE=English_United States.1252 +## [3] LC_MONETARY=English_United States.1252 +## [4] LC_NUMERIC=C +## [5] LC_TIME=English_United States.1252 +## +## attached base packages: +## [1] parallel grid stats graphics grDevices utils datasets +## [8] methods base +## +## other attached packages: +## [1] randomForest_4.6-12 doParallel_1.0.11 foreach_1.4.3 +## [4] iterators_1.0.8 YaleToolkit_4.2.2 caret_6.0-77.9000 +## [7] knitr_1.17 readr_1.1.1 ggplot2_2.2.1 +## [10] MASS_7.3-47 lattice_0.20-35 +## +## loaded via a namespace (and not attached): +## [1] Rcpp_0.12.13 lubridate_1.6.0 tidyr_0.7.2 +## [4] class_7.3-14 assertthat_0.2.0 rprojroot_1.2 +## [7] digest_0.6.12 ipred_0.9-6 psych_1.7.8 +## [10] R6_2.2.2 plyr_1.8.4 backports_1.1.1 +## [13] stats4_3.4.2 e1071_1.6-8 evaluate_0.10.1 +## [16] highr_0.6 rlang_0.1.2 lazyeval_0.2.0 +## [19] kernlab_0.9-25 rpart_4.1-11 Matrix_1.2-11 +## [22] rmarkdown_1.6 splines_3.4.2 CVST_0.2-1 +## [25] ddalpha_1.3.1 gower_0.1.2 stringr_1.2.0 +## [28] foreign_0.8-69 munsell_0.4.3 broom_0.4.2 +## [31] compiler_3.4.2 pkgconfig_2.0.1 mnormt_1.5-5 +## [34] dimRed_0.1.0 htmltools_0.3.6 nnet_7.3-12 +## [37] tidyselect_0.2.2 tibble_1.3.4 prodlim_1.6.1 +## [40] DRR_0.0.2 codetools_0.2-15 RcppRoll_0.2.2 +## [43] withr_2.0.0 dplyr_0.7.4 recipes_0.1.0.9000 +## [46] ModelMetrics_1.1.0 nlme_3.1-131 gtable_0.2.0 +## [49] magrittr_1.5 scales_0.5.0 stringi_1.1.5 +## [52] reshape2_1.4.2 bindrcpp_0.2 timeDate_3012.100 +## [55] robustbase_0.92-7 lava_1.5.1 tools_3.4.2 +## [58] glue_1.1.1 DEoptimR_1.0-8 purrr_0.2.4 +## [61] sfsmisc_1.1-1 hms_0.3 survival_2.41-3 +## [64] yaml_2.1.14 colorspace_1.3-2 bindr_0.1 +``` + # References 1. Dinsdale, L. and Edwards, R. (2015) -- [Random Forests Webpage](https://dinsdalelab.sdsu.edu/metag.stats/code/randomforest.html), retrieved from the _Metagenomics. 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z>#3v-6OwsN>27>4)QZ||6;ZE>E^9BOkTy~&VxUnXu-?yBM6&b9!7*W^ffx0!NFu$l zShiq9l$!NJD^fV`{QUgfj@8H|gtM8l8pO}9^31$z=U6kkB0@g#S=cOSygR=L=CG_B zWECZMs{SHK*)d#!9C?~y3M0g3MA|>et^BNWrCY+W;CmV8j0P8@Y_XdJ^|?#P_yCE! z#UiRC0@*D^E~0Tf$YhD`)@lir=pfPMSy4I0d+rvtNrgT)rck6d{5V)!6ua~wsiMy1NRV02ywA5#C9O4|= zSTt^6eAZWgR*dIKO{Mf9uns0+acb1Z!hnG*JI%uer@NK9P83h76Xk5wiaE7R)4c3pgf;8H*u-8MDaO$Ke0a1cQ%Dh?Tud?TX|6{Z1sD l8RN?T|I+{6De$?tRCW1~r^&Tr`x5x~SX%L6ft2Cv{{^dgLJI%@ From 802b8849a455cd3c6188c5415cbaaec75bc26abe Mon Sep 17 00:00:00 2001 From: Len Greski Date: Fri, 5 Jun 2020 17:13:29 -0400 Subject: [PATCH 5/9] eliminate duplicate processing of models in Appendix, properly shut down parallel processing cluster. --- QuantifiedSelfAnalysis.Rmd | 31 +++++++++++++++++++++---------- 1 file changed, 21 insertions(+), 10 deletions(-) diff --git a/QuantifiedSelfAnalysis.Rmd b/QuantifiedSelfAnalysis.Rmd index ad3287d..77f535d 100644 --- a/QuantifiedSelfAnalysis.Rmd +++ b/QuantifiedSelfAnalysis.Rmd @@ -90,12 +90,16 @@ The model has an overall accuracy of 77%, with the highest sensitivity being .84 The random forest technique generates multiple predictive models, and aggregates them to create a final result. Random forests have a high degree of predictive power, and can be tuned according to a variety of parameters, including a range of choices from k-fold cross validation to leave one out bootstrapping. As we did with the linear discriminant analysis, we use k-fold cross validation with five folds. ```{r ref.label="useParallel", echo=FALSE} -# run LDA model +# turn on parallel processing ``` ```{r ref.label="buildModel2", echo=FALSE} -# run LDA model +# run randomForest model +``` + +```{r ref.label = "termParallel", echo = FALSE} + # stop parallel processing ``` The random forest model is extremely powerful, correctly classifying all cases in our training data set. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of 9.993 as illustrated by the following chart. @@ -133,7 +137,7 @@ Finally, our accuracy at predicting the 20 cases in the validation data set was ## Appendix -```{r dataDownload, echo=FALSE} +```{r dataDownload, echo=FALSE,eval = FALSE} theFiles <- c("pml-testing.csv","pml-training.csv") theDirectory <- "./data/" dlMethod <- "curl" @@ -153,7 +157,7 @@ for (i in 1:length(theFiles)) { ``` -```{r readData, echo=FALSE} +```{r readData, echo=TRUE, eval = FALSE} library(lattice) library(MASS) library(ggplot2) @@ -174,7 +178,7 @@ validation <- readr::read_csv("./data/pml-testing.csv", originalData <- readr::read_csv("./data/pml-training.csv", col_names=TRUE, col_types=colString) -# fix missing colunm name for "observation / row number" +# fix missing column name for "observation / row number" theColNames <- colnames(originalData) theColNames[1] <- "obs" colnames(originalData) <- theColNames @@ -194,7 +198,7 @@ testing <- originalSubset[-trainIndex,] ``` -```{r useParallel, echo=FALSE} +```{r useParallel, echo=TRUE,eval = FALSE} library(iterators) library(parallel) library(foreach) @@ -204,7 +208,7 @@ registerDoParallel(cluster) ``` -```{r buildModel1, echo=FALSE, cache=TRUE} +```{r buildModel1, echo=TRUE, cache=TRUE,eval = FALSE} yvars <- training[,55] xvars <- training[,-55] intervalStart <- Sys.time() @@ -221,10 +225,10 @@ confusionMatrix(pred1,training$classe) # predicted_validation <- predict(modFit,validation) ``` -```{r buildModel2, echo=FALSE, cache=TRUE} +```{r buildModel2, echo=TRUE, cache=TRUE,eval = FALSE} library(randomForest) intervalStart <- Sys.time() -mod2Control <- trainControl(method="cv",number=5,allowParallel=TRUE) +mod2Control <- trainControl(method="boot",number=25,allowParallel=TRUE) modFit2 <- train(classe ~ .,data=training,method="rf",trControl=mod2Control) intervalEnd <- Sys.time() print(modFit2) @@ -242,7 +246,7 @@ confusionMatrix(predicted_test,testing$classe) -```{r writeFiles, echo=TRUE} +```{r writeFiles, echo=TRUE,eval = FALSE} # generate predictions on validation data set predicted_validation <- predict(modFit2,validation) # compare to correct answers as validated by submitting the individual files to Coursera for @@ -265,6 +269,13 @@ pml_write_files(predicted_chars) ``` +```{r termParallel,echo = FALSE,eval = FALSE} + stopCluster(cluster) + registerDoSEQ() + +``` + + # References 1. Dinsdale, L. and Edwards, R. -- [Random Forests Webpage](https://dinsdalelab.sdsu.edu/metag.stats/code/randomforest.html), retrieved from the _Metagenomics. Statistics._ website on December 19, 2015. From a2ddf1cf4ece6cc30b8735298d5a3d449deb6932 Mon Sep 17 00:00:00 2001 From: Leonard Greski Date: Mon, 28 Dec 2020 18:44:35 -0500 Subject: [PATCH 6/9] add code to install uninstalled packages --- QuantifiedSelfAnalysis.Rmd | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/QuantifiedSelfAnalysis.Rmd b/QuantifiedSelfAnalysis.Rmd index 77f535d..cf61bc1 100644 --- a/QuantifiedSelfAnalysis.Rmd +++ b/QuantifiedSelfAnalysis.Rmd @@ -158,6 +158,11 @@ for (i in 1:length(theFiles)) { ```{r readData, echo=TRUE, eval = FALSE} +pkgs <- c("lattice","MASS","ggplot2","grid","readr","knitr","caret","YaleToolkit") +notInstalled <- pkgs[!(pkgs %in% installed.packages())] +if(sum(!(pkgs %in% installed.packages())) > 0) { + for(i in notInstalled) install.packages(i) +} library(lattice) library(MASS) library(ggplot2) From 4a85c0efea11349bf6895a08e8fd9210d8e9115d Mon Sep 17 00:00:00 2001 From: Len Greski Date: Mon, 7 Aug 2023 07:40:14 -0400 Subject: [PATCH 7/9] fix typo in maximum accuracy statement. --- QuantifiedSelfAnalysis.Rmd | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/QuantifiedSelfAnalysis.Rmd b/QuantifiedSelfAnalysis.Rmd index cf61bc1..eca59c8 100644 --- a/QuantifiedSelfAnalysis.Rmd +++ b/QuantifiedSelfAnalysis.Rmd @@ -102,7 +102,7 @@ The random forest technique generates multiple predictive models, and aggregates # stop parallel processing ``` -The random forest model is extremely powerful, correctly classifying all cases in our training data set. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of 9.993 as illustrated by the following chart. +The random forest model is extremely powerful, correctly classifying all cases in our training data set. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of .993 as illustrated by the following chart. ```{r plotRFAccuracy, echo=FALSE} plot(modFit2, @@ -208,7 +208,7 @@ library(iterators) library(parallel) library(foreach) library(doParallel) -cluster <- makeCluster(detectCores()) +cluster <- makeCluster(detectCores() - 1) registerDoParallel(cluster) ``` From f80698b33a03196b57bb85897a5c3d9339d3952e Mon Sep 17 00:00:00 2001 From: Len Greski Date: Thu, 26 Dec 2024 20:15:20 -0500 Subject: [PATCH 8/9] fix typo. add sessionInfo() --- QuantifiedSelfAnalysis.Rmd | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/QuantifiedSelfAnalysis.Rmd b/QuantifiedSelfAnalysis.Rmd index eca59c8..3b9ea02 100644 --- a/QuantifiedSelfAnalysis.Rmd +++ b/QuantifiedSelfAnalysis.Rmd @@ -102,7 +102,7 @@ The random forest technique generates multiple predictive models, and aggregates # stop parallel processing ``` -The random forest model is extremely powerful, correctly classifying all cases in our training data set. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of .993 as illustrated by the following chart. +The random forest model is extremely powerful, correctly classifying all cases in our training data set. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of 0.994 as illustrated by the following chart. ```{r plotRFAccuracy, echo=FALSE} plot(modFit2, @@ -280,6 +280,9 @@ pml_write_files(predicted_chars) ``` +```{r sessionData,echo = FALSE, eval = TRUE} + sessionInfo() +``` # References From 53fe29f076466f9bb34e1bd27e142df2df8902b9 Mon Sep 17 00:00:00 2001 From: Len Greski Date: Wed, 13 Aug 2025 10:40:42 -0400 Subject: [PATCH 9/9] Add script to compare random forest performance to a neural network. --- QuantifiedSelfAlgorithmTesting.R | 120 +++++++++++++++++++++++++++++++ 1 file changed, 120 insertions(+) create mode 100644 QuantifiedSelfAlgorithmTesting.R diff --git a/QuantifiedSelfAlgorithmTesting.R b/QuantifiedSelfAlgorithmTesting.R new file mode 100644 index 0000000..e623ae2 --- /dev/null +++ b/QuantifiedSelfAlgorithmTesting.R @@ -0,0 +1,120 @@ +# +# quantified self analysis: R version for testing alternate +# machine learning algorithms + + +# data download + +theFiles <- c("pml-testing.csv","pml-training.csv") +theDirectory <- "./data/" +dlMethod <- "curl" +if(substr(Sys.getenv("OS"),1,7) == "Windows") dlMethod <- "wininet" +if(!dir.exists(theDirectory)) dir.create(theDirectory) +for (i in 1:length(theFiles)) { + aFile <- paste(theDirectory,theFiles[i],sep="") + if (!file.exists(aFile)) { + url <- paste("https://d396qusza40orc.cloudfront.net/predmachlearn/", + theFiles[i], + sep="") + download.file(url,destfile=aFile, + method=dlMethod, + mode="w") # use mode "w" for text + } +} + +# read and clean data + +pkgs <- c("lattice","MASS","ggplot2","grid","readr","knitr","caret","YaleToolkit", + "iterators","parallel","foreach","doParallel") +notInstalled <- pkgs[!(pkgs %in% installed.packages())] +if(sum(!(pkgs %in% installed.packages())) > 0) { + for(i in notInstalled) install.packages(i) +} + +for(pkg in pkgs) { + library(pkg,character.only = TRUE) +} + +string40 <- "ncnnccnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn" +string80 <- "nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn" +string120 <- "nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn" +string160 <- "nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnc" +colString <- paste(string40,string80,string120,string160,sep="") + +validation <- readr::read_csv("./data/pml-testing.csv", + col_names=TRUE, + col_types=colString) +originalData <- readr::read_csv("./data/pml-training.csv", + col_names=TRUE, + col_types=colString) +# fix missing column name for "observation / row number" +theColNames <- colnames(originalData) +theColNames[1] <- "obs" +colnames(originalData) <- theColNames + +originalData$classe <- as.factor(originalData$classe) +valResult <- whatis(originalData) +# retain all columns with fewer than 50 missing values +theNames <- as.character(valResult[valResult$missing < 50 & valResult$variable.name != "obs",1]) +originalSubset <- originalData[,theNames] +# remove date variables and binary window +originalSubset <- originalSubset[c(-2,-3,-4,-5)] +# valSubset <- whatis(originalSubset) +set.seed(102134) +trainIndex <- createDataPartition(originalSubset$classe,p=.60,list=FALSE) +training <- originalSubset[trainIndex,] +testing <- originalSubset[-trainIndex,] + +# initiate parallel processing + +cluster <- makeCluster(detectCores() - 1) +registerDoParallel(cluster) + +# build baseline model: linear discriminant analysis + +yvars <- training[,55] +xvars <- training[,-55] +intervalStart <- Sys.time() +mod1Control <- trainControl(method="cv",number=5,allowParallel=TRUE) +# modFit1 <- train(x=xvars,y=yvars,method="rpart",trControl=mod1Control) +modFit1 <- train(classe ~ .,data=training,method="lda",trControl=mod1Control) +# Model 1 +intervalEnd <- Sys.time() +paste("Train model1 took: ",intervalEnd - intervalStart,attr(intervalEnd - intervalStart,"units")) +pred1 <- predict(modFit1,training) +# confusionMatrix(pred1,training$classe) +predicted_test <- predict(modFit1,testing) +confusionMatrix(predicted_test,testing$classe) +# predicted_validation <- predict(modFit,validation) + +# build alternate model: random forest + +library(randomForest) +intervalStart <- Sys.time() +mod2Control <- trainControl(method="boot",number=25,allowParallel=TRUE) +modFit2 <- train(classe ~ .,data=training,method="rf",trControl=mod2Control) +intervalEnd <- Sys.time() +print(modFit2) +paste("Train model2 took: ",intervalEnd - intervalStart,attr(intervalEnd - intervalStart,"units")) +pred2 <- predict(modFit2,training) +confusionMatrix(pred2,training$classe) +predicted_test <- predict(modFit2,testing) +confusionMatrix(predicted_test,testing$classe) + +# build an alternate model: neural network +library(nnet) +intervalStart <- Sys.time() +mod3Control <- trainControl(method="boot",number=25,allowParallel=TRUE) +modFit3 <- train(classe ~ .,data=training,method="nnet",trControl=mod3Control) +intervalEnd <- Sys.time() +print(modFit3) +paste("Train model3 took: ",intervalEnd - intervalStart,attr(intervalEnd - intervalStart,"units")) +pred3 <- predict(modFit3,training) +confusionMatrix(pred3,training$classe) +predicted_test <- predict(modFit3,testing) +confusionMatrix(predicted_test,testing$classe) + + +# turn off parallel processing +stopCluster(cluster) +registerDoSEQ()

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z=hv4g!tVJFO>A)4_IEd3Kl>EFHtRrM{peLI)aflITm?2T70ILBxz|tjmPxBYe-wv|?gcF=7Bt(Qx_7fjL>b@i)c@nI;=pJwc17#W{W*~> z*hKEYVnV$BPp+)KFRq2@I@^_QMh1?pOslcK3(pTT5h^9QR@lwt1%kTWmX6ob6@}HR zji{@f7geit_p>y?G(H&(oiCZP2-nfri-hK5p*me8jApW5mFt{v6Gx)@abd6{pvfeV4AAfqZ>DEZ{&e*vvk85IBk From c2712ed676035802d32be7996c4e4a701b2bdb8a Mon Sep 17 00:00:00 2001 From: Leonard Greski Date: Thu, 26 Oct 2017 07:39:39 -0400 Subject: [PATCH 4/9] updated to use most recent version of caret, suppress library startup messages. --- index.Rmd | 34 ++-- index.html | 140 +++++++++++------ index.md | 148 +++++++++++------- ...el1_621b764493a8671721064dccabd5b1d6.RData | Bin 0 -> 3387 bytes ...odel1_621b764493a8671721064dccabd5b1d6.rdb | Bin 0 -> 2268132 bytes ...odel1_621b764493a8671721064dccabd5b1d6.rdx | Bin 0 -> 247 bytes ...l2_64874c78b65edd43477b7d115f63fb2e.RData} | Bin 2680 -> 2680 bytes ...del2_64874c78b65edd43477b7d115f63fb2e.rdb} | 0 ...odel2_64874c78b65edd43477b7d115f63fb2e.rdx | Bin 0 -> 113 bytes ...odel2_e1ae907b96aadc18be7bb22578793787.rdx | Bin 113 -> 0 bytes index_files/figure-html/plotErr-1.png | Bin 42713 -> 6450 bytes index_files/figure-html/plotRFAccuracy-1.png | Bin 39275 -> 8122 bytes index_files/figure-html/unnamed-chunk-2-1.png | Bin 3778 -> 0 bytes index_files/figure-html/unnamed-chunk-3-1.png | Bin 30655 -> 6506 bytes index_files/figure-html/varImp-1.png | Bin 64945 -> 11079 bytes 15 files changed, 204 insertions(+), 118 deletions(-) create mode 100644 index_cache/html/buildModel1_621b764493a8671721064dccabd5b1d6.RData create mode 100644 index_cache/html/buildModel1_621b764493a8671721064dccabd5b1d6.rdb create mode 100644 index_cache/html/buildModel1_621b764493a8671721064dccabd5b1d6.rdx rename index_cache/html/{buildModel2_e1ae907b96aadc18be7bb22578793787.RData => buildModel2_64874c78b65edd43477b7d115f63fb2e.RData} (92%) rename index_cache/html/{buildModel2_e1ae907b96aadc18be7bb22578793787.rdb => buildModel2_64874c78b65edd43477b7d115f63fb2e.rdb} (100%) create mode 100644 index_cache/html/buildModel2_64874c78b65edd43477b7d115f63fb2e.rdx delete mode 100644 index_cache/html/buildModel2_e1ae907b96aadc18be7bb22578793787.rdx delete mode 100644 index_files/figure-html/unnamed-chunk-2-1.png diff --git a/index.Rmd b/index.Rmd index 89d01a2..ecbb11b 100644 --- a/index.Rmd +++ b/index.Rmd @@ -105,7 +105,7 @@ The random forest technique generates multiple predictive models, and aggregates # run RF model ``` -The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9971, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart. +The random forest model is extremely powerful, correctly classifying all cases in our training data set. When applied to the 40% holdout from the training data, the accuracy is .9968, very close to the 1.0 accuracy that was obtained with the 5 fold cross validation against the 60% sample of the training data. The algorithm produces optimal results with 30 predictors, reaching a maximum accuracy of approximately 0.995 as illustrated by the following chart. ```{r plotRFAccuracy, echo=FALSE, warning=FALSE} plot(modFit2, @@ -133,7 +133,7 @@ Given the accuracy level achieved via cross-validation of the model against mult ## Results -The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.71% of the test cases, incorrectly classifying only 23 of the 7,846 observations. The error rate for the test data set is only 0.29%, giving us a .944 probability that the model would correctly classify all 20 validation cases. +The results from our random forest model were excellent. Applying the model to the test data set that we held out of of the model building steps, we find that the model accurately predicts 99.68% of the test cases, incorrectly classifying only 23 of the 7,846 observations. The error rate for the test data set is only 0.32%, giving us a .938 probability that the model would correctly classify all 20 validation cases. Finally, our accuracy at predicting the 20 cases in the validation data set was 100%. All in all, a good effort for our first attempt at a random forest. @@ -162,14 +162,14 @@ for (i in 1:length(theFiles)) { ```{r readData, echo=TRUE, warning=FALSE, eval=FALSE} -library(lattice) -library(MASS) -library(ggplot2) -library(grid) -library(readr) -library(knitr) -library(caret) -library(YaleToolkit) +library(lattice,quietly=TRUE) +library(MASS,quietly=TRUE) +library(ggplot2,quietly=TRUE) +library(grid,quietly=TRUE) +library(readr,quietly=TRUE) +library(knitr,quietly=TRUE) +library(caret,quietly=TRUE) +library(YaleToolkit,quietly=TRUE) string40 <- "ncnnccnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn" string80 <- "nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn" string120 <- "nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn" @@ -203,10 +203,10 @@ testing <- originalSubset[-trainIndex,] ``` ```{r useParallel, echo=TRUE, warning=FALSE, eval=FALSE} -library(iterators) -library(parallel) -library(foreach) -library(doParallel) +library(iterators,quietly=TRUE) +library(parallel,quietly=TRUE) +library(foreach,quietly=TRUE) +library(doParallel,quietly=TRUE) cluster <- makeCluster(detectCores()-1) registerDoParallel(cluster) @@ -230,7 +230,7 @@ confusionMatrix(pred1,training$classe) ``` ```{r buildModel2, echo=TRUE, warning=FALSE, eval=FALSE} -library(randomForest) +suppressPackageStartupMessages(library(randomForest,quietly=TRUE)) intervalStart <- Sys.time() mod2Control <- trainControl(method="cv",number=5,allowParallel=TRUE) system.time(modFit2 <- train(classe ~ .,data=training,method="rf",trControl=mod2Control)) @@ -273,6 +273,10 @@ pml_write_files(predicted_chars) ``` +```{r sessionInfo, echo=TRUE, eval=TRUE} +sessionInfo() +``` + # References 1. Dinsdale, L. and Edwards, R. (2015) -- [Random Forests Webpage](https://dinsdalelab.sdsu.edu/metag.stats/code/randomforest.html), retrieved from the _Metagenomics. Statistics._ website on December 19, 2015. diff --git a/index.html b/index.html index 3a8d4ec..ebbdafc 100644 --- a/index.html +++ b/index.html @@ -184,7 +184,7 @@