Installation

Python 2.7.11 or above

Package required: Scikit, matplotlib, numpy

We recommand user to install Anaconda 4.2.0 or above

Folder structure

.
README.md	dataset		project.py

./dataset/Development/algebra_2005_2006:
algebra_2005_2006.txt		algebra_2005_2006_master.txt	algebra_2005_2006_test.txt	algebra_2005_2006_train.txt

./dataset/Development/algebra_2006_2007:
algebra_2006_2007.txt		algebra_2006_2007_master.txt	algebra_2006_2007_test.txt	algebra_2006_2007_train.txt

./dataset/Development/bridge_to_algebra_2006_2007:
bridge_to_algebra_2006_2007.txt		bridge_to_algebra_2006_2007_master.txt	bridge_to_algebra_2006_2007_test.txt	bridge_to_algebra_2006_2007_train.txt

Result

All-in-one comparison

python all_in_one.py algebra_2005_2006
python all_in_one.py algebra_2006_2007
python all_in_one.py bridge_to_algebra_2006_2007

bridge_to_algebra_2006_2007, NumberOfLineToTrain=300k, feature_vec=normal	Test rmse
KNN(k=5)	0.4417
RandomForest(tree=50)	0.6338
LinearSVM(C=1.0)	0.6500
Collabrative filtering(Rate=0.001, step=50, reg=0.02)	0.3685
ROC curve:

bridge_to_algebra_2006_2007, NumberOfLineToTrain=200k, feature_vec=normal	Test rmse
KNN(k=5)	0.4173
RandomForest(tree=50)	0.6089
LinearSVM(C=1.0)	0.6674
Collabrative filtering(Rate=0.001, step=50, reg=0.02)	0.3762
ROC curve:

bridge_to_algebra_2006_2007, NumberOfLineToTrain=100k, feature_vec=normal	Test rmse
KNN(k=5)	0.4225
RandomForest(tree=50)	0.5853
LinearSVM(C=1.0)	0.7003
NaiveBayesian	0.8423
Collabrative filtering(Rate=0.001, step=50, reg=0.02)	0.3982

ROC curve:

bridge_to_algebra_2006_2007, NumberOfLineToTrain=50k, feature_vec=normal	Test rmse
KNN(k=5)	0.4408
RandomForest(tree=50)	0.558
Collabrative filtering(Rate=0.01, step=50, reg=0.02)	0.889

ROC curve:

Random method

python random_method.py algebra_2005_2006
python random_method.py algebra_2006_2007
python random_method.py bridge_to_algebra_2006_2007

Dataset	Training	Testing
algebra_2005_2006	0.577339348465	0.578375289713
algebra_2006_2007	0.577176770545	0.581733462971
bridge_to_algebra_2006_2007	0.577114504595	0.578898326215

Prob

# Feature : student, problem_hierarchy, problem_name, step_name, kc, opportunity
python prob.py algebra_2005_2006
python prob.py algebra_2006_2007
python prob.py bridge_to_algebra_2006_2007

Dataset	Training	Testing	Time
algebra_2005_2006	0.0967263175545	0.426565287948	0m52.609s
algebra_2006_2007	0.0541229228797	0.40384679442	2m17.756s
bridge_to_algebra_2006_2007	0.0288237930397	0.372662133708	11m34.139s

# Feature : student, problem_hierarchy, problem_name, step_name, kc, opportunity

Dataset	Training	Testing
algebra_2005_2006	0.233574258494	0.408946329676
algebra_2006_2007	0.200404828212	0.39463380799
bridge_to_algebra_2006_2007	0.172471892949	0.355436539753

Collaborative Filtering

# Feature : student, problem_hierarchy, problem_name, step_name
python cf.py algebra_2005_2006
python cf.py algebra_2006_2007
python cf.py bridge_to_algebra_2006_2007

Dataset	Training	Testing
algebra_2005_2006	0.415726052285	0.405040698634
algebra_2006_2007	0.411450169266	0.4043896756
bridge_to_algebra_2006_2007	0.311035090946	0.365743405094

Dataset	Training	Testing	N
bridge_to_algebra_2006_2007	0.326314365008	0.377274126364	100k
bridge_to_algebra_2006_2007	0.338645485041	0.377446831397	150k
bridge_to_algebra_2006_2007	0.332554420163	0.373803269454	250k
bridge_to_algebra_2006_2007	0.316869374999	0.377101342234	500k

(1) Feature vector based method (OneHotEncoding)

# Feature : student(weight=50), unit, section, processed step_name, kc
python feature_vector.py algebra_2005_2006

Dataset	Method	Training	Testing	Size	Training Time	Predict Time
algebra_2005_2006	SVM	0.395655318254	0.463706747382	50k	~30 min
algebra_2005_2006	KNN(k=10)	0.332238179089	0.517161982612	50k	9 sec	17 sec
algebra_2005_2006	KNN(k=20)	0.324500426044	0.46722690752	200k	147 sec	558 sec
algebra_2005_2006	RandomForest(n=50)	0.319	0.607	50k	5.7 sec	0.8 sec

# Feature : student(weight=10), unit, section, process problem name, normalized problem view,
processed step_name, kc, normalized opportunity
python feature_vector.py algebra_2005_2006

| Dataset | Method | Training | Testing | Size|Training Time|Predict Time | -------------|---------|-------------|----------|-----|------------|------------| | | algebra_2005_2006 | KNN(k=40) | 0.139213460584 | 0.481050023681 |50k| 15 sec| 73 sec | | algebra_2005_2006 | KNN(k=200) | 0.137313853181 | 0.451867815084 |200k| 175 sec| 1774 sec |

# Feature : student(weight=10), unit, section, process problem name, normalized problem view,
processed step_name, kc, normalized opportunity, 8 cfars, 3 temporal (<6 mean cfars,
<6 mean hints, whether has this <student,KC> pairs)
python feature_vector.py algebra_2005_2006

| Dataset | Method | Training | Testing | Size|Training Time|Predict Time | -------------|---------|-------------|----------|-----|------------|------------| | | algebra_2005_2006 | KNN(k=50) | 0.12016775277 | 0.480263350998 |50k| 12 sec| 124 sec |

# Feature : student(weight=10), unit, section, process problem name, normalized problem view,
processed step_name, kc, normalized opportunity, 8 cfars, 3 temporal (<6 mean cfars, <6 mean hints,
whether has this <student,KC> pairs), 4 time memory {same day, one week, one month, >one month}
of same person and KC tuple
python feature_vector.py algebra_2005_2006

| Dataset | Method | self test(first50k row) | Testing(rows ID<max trained rows) | Size|Training Time|Predict Time | -------------|---------|-------------|----------|-----|------------|------------| | | algebra_2005_2006 | KNN(k=10) | 0.0835463942968 | 0.489339023162 |200k| 268 sec| 854 sec | | algebra_2005_2006 | KNN(k=1000) | 0.0516397779494 | 0.43467239637 |100k| 19 sec| 40 sec |

(2) Feature vector based method (unique key for each column, distance between vectors are not defined)

python feature_vector.py algebra_2005_2006

Dataset	Method	Training	Testing	Size	Training Time	Predict Time
algebra_2005_2006	RandomForest(n=50)	0.282914828894	0.562234728644	100k	1.3 sec	0.4 sec
algebra_2005_2006	MultinomialNB	0.61850935768	0.563801780499	100k	0.09 sec	0.05 sec
algebra_2005_2006	KNN(n=500)	0.292019565059	0.46641692094	200k	5 sec	21 sec
algebra_2005_2006	KNN(n=1000)	0.291	0.462	all rows	146 sec	1180 sec