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P12
P11
P10
P9
P8
P7
P6
P5
P4
P3
P2
P1
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
Fig. 6. Correlation matrices of user question orderings for the earth sciences domain
that recommends questions randomly. The SR corresponds to the approach pro-
posedin[ 10 ]. Table 4 shows the results obtained using a 10-fold cross validation
with input parameters: number of recommendations N = 5, maximum order of
the VLMCs, maxOrder =10and ˃ = the lowest prediction value among the
questions within the sequences used for training. For testing, the leave-one-out
technique was employed.
Table 4. Results
Data set Model acc avg-ll cov div
lu
SR
0.65
93.84
0.29
0.47
0.45
Earth sciences
LoR
0.31 137.69 0.60 0.44 0.69
RR
0.01
164.9
1
0.60
0
SR
0.52 112.34
0.30
0.50
0.41
Nutrition
LoR
0.15 156.23 0.67 0.51 0.49
RR
0
165.38
1
0.40
0
SR
0.50 107.87
0.44
0.36
0.39
Homeschooling
LoR
0.16 145.92 0.84 0.47 0.41
RR
0.06 150.06
1
0.42
0
Although the LoR did not achieve an accuracy ( acc ) and average log-loss
( avg
ll ) as high as the SR, compared to the RR, it still had a good prediction
performance (see Table 4 ). However, the coverage ( cov ) and learning utility
( lu ) values of the LoR were much higher, whereas the diversity did not show
significant discrepancies among the three models. The coverage values show that
the LoR, compared to the SR, can recommend a larger percentage of questions.
The increased learning utility of the LoR shows that the prediction performance
of this recommendation model is more dependent on receiving as input learning
sequences, like the ones collected during our experiments. This means that the
 
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