Database Reference
In-Depth Information
Table 5.3 Averaged
transition probabilities
for different
k
min
k
min
p
p
a
p
a
rs
C
1
0.007
0.011
0.013
1.49
2
0.012
0.017
0.022
1.49
5
0.021
0.028
0.030
1.31
10
0.024
0.029
0.033
1.21
20
0.024
0.034
0.042
1.40
50
0.024
0.042
0.051
1.78
2,00
1,80
1,60
1,40
1,20
1,00
0,80
0,60
0,40
rsC
0,20
0,00
0
10
20
30
40
50
60
Update step min(
n, m
)
Fig. 5.3 Averaged ratio
rs
C
of conditional to unconditional transition probabilities for different
minimum update steps
k
min
p
a
p
rs
C
ΒΌ
:
We use Algorithm 5.1. Since we display multiple recommendations, we calcu-
late the conditional probabilities
p
ss
a
additionally by Algorithm 5.2 and denote their
calculated conditional probabilities by
p
a
. The result is shown in Table
5.3
.
The coefficients
rs
C
are graphically represented in Fig.
5.3
. The main behavior
looks good: the coefficients are always larger than 1, so displaying recommendations
increases the corresponding transition probabilities, and they are not unrealistically
large. The graph does not follow any special pattern what is expected, too, since its
variations shall be distributed randomly. The only trend we might induce is a
slight increase when
k
min
reached a number with critical statistical volume between
20 and 30.
