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Ajuste de los modelos paramétricos regionalizados de tipo lineal

4. Análisis de resultados

4.1 Evaluación de los modelos paramétricos regionalizados de tipo lineal

4.1.1 Ajuste de los modelos paramétricos regionalizados de tipo lineal

Example 1. Exploration path for Biwa

Figure 6.1 shows an example for generating the exploration path for the instrument Biwa (first entity in the exploration path) using the closest knowledge anchor Lute.

Figure 6.1. Extract from the String Instrument class hierarchy in MusicPinta showing exploration path of length 4 generated with first entity Biwa.

The exploration path for Biwa (has length of m = 4) and was generated using the closest knowledge anchor Lute and narrative types N1, N4, N5 given in Table 6.1. The first transition narrative in the exploration path is between the Biwa and the closest knowledge anchor Lute (using N1 in Table 6.1). After that, the closest knowledge anchor Lute is used to subsume new entities and generate transition narratives in the exploration path using narrative types N4 (subsume intermediate class entities between Lute and Biwa – line 9 in Algorithm 6.2) and N5 (subsume subclasses of Lute other than class entities subsumed using N4 – line 23 in Algorithm 6.2). The transition narratives that were followed in generating the exploration path for Biwa are listed in Table 6.5.ubsume

Table 6.5. Transition narratives used for generating the exploration path for Biwa

Transition Narratives for path of

Biwa Narrative Script

v

s

,script(N

1

),v

KA You may find it useful to know that ‘Biwa’ belongs to a familiar and well-known instrument called ‘Lute’. Let's explore ‘Lute’.

v

KA

,script(N

4

),Q[1]

You may also find it useful to know that ‘Oud’ belongs to ‘Lute’ , and ‘Biwa’ belongs to ‘Oud’. Let's explore ‘Oud’.



v

KA

,script(N

5

),Q[1]

You may also find it useful to know that ‘Tambura’ belongs to ‘Lute’. Let's explore ‘Tambura’



v

KA

,script(N

5

),Q

[2]

You may also find it useful to know that ‘Pipa’ belongs to ‘Lute’. Let's explore ‘Pipa’

Example 2. Exploration path for Kinnor

Figure 6.2 shows an example for generating the exploration path for the instrument Kinnor (first entity in the exploration path) using closest knowledge anchor Harp.

Figure 6.2. Extract from the String Instrument class hierarchy in MusicPinta showing exploration path of length 6 generated with first entity Kinnor.

The exploration path for Kinnor (has length of m = 6) and was generated using the closest knowledge anchor Harp and narrative types N3, N5 given in Table 6.1. The first transition narrative is between Kinnor and closest knowledge anchor Harp (using N3 in Table 6.1). After that, the closest knowledge anchor Harp is used to subsume new entities and to generate transition narratives in the exploration path using narrative type N5 (subsume subclass entities of Harp – line 23 in Algorithm 6.2). Subclasses of harp were subsumed from least depth (i.e. direct subclasses ,e.g. Folk Harp) to highest depth (e.g. German Harp). The transition narratives that were followed in generating the exploration path for Kinnor are listed in Table 6.6.

Table 6.6. Transition narratives used for generating the exploration path for Kinnor

Transition Narratives for path

of Kinnor Narrative Script

v

s

,script(N

3

),v

KA You may find it useful to know that ‘Kinnor’ is similar to a familiar and well-known instrument called ‘Harp’. Let's explore ‘Harp’.



v

KA

,script(N

5

),Q

[1]

You may also find it useful to know that ‘Folk Harp’ belongs to ‘Harp’. Let's explore ‘Folk Harp’.



v

KA

,script(N

5

),Q

[2]

You may also find it useful to know that ‘Concert Harp’ belongs to ‘Harp’. Let's explore ‘Concert Harp’.



v

KA

,script(N

5

),Q[3]

You may also find it useful to know that ‘Kora’ belongs to ‘Harp’. Let's explore ‘Kora’.



v

KA

,script(N

5

),Q

[4]

You may also find it useful to know that ‘German Harp’ belongs to ‘Harp’. Let's explore ‘German Harp’.



v

KA

,script(N

5

),Q[5]

You may also find it useful to know that ‘Irish Harp’ belongs to ‘Harp’. Let's explore ‘Irish Harp’.

Example 3. Exploration path for Bansuri

Figure 6.3 shows an example for generating the exploration path for the instrument Bansuri (first entity in exploration path) using closest knowledge anchor Flute.

Figure 6.3. Extract from the Wind Instrument class hierarchy in MusicPinta showing exploration path of length 4 generated with first entity Bansuri.

From the results in Table 6.3, it was noticed that the knowledge anchors Flute, and Reeds have the same semantic similarity value with the first entity Bansuri. By examining the relationship between Bansuri and each of the anchors (Flute, Reeds) we noticed that Flute is a direct subclass of Bansuri, whereas there is no direct relationship (subclass, superclass, sibling) between Bansuri and Reeds. Therefore, Flute is identified as the closest knowledge anchor.

The exploration path for Bansuri (has length of m = 4) was generated using the closest knowledge anchor Flute and narrative types N1, N4 given in Table 6.1. The first transition narrative is between the first entity Bansuri and the closest knowledge anchor Flute (using N1 in Table 6.1). After that, the closest knowledge anchor Flute is used to subsume new entities and to generate transition narratives in the exploration path using narrative type N4 (subsume intermediate entities between Flute and Bansuri line 9 in Algorithm 6.2). Transition narratives that were followed in generating the exploration path for Bansuri are listed in Table 6.7.

Table 6.7. Transition narratives used for generating exploration path for Bansuri

Transition Narratives for path of

Bansuri Narrative Script

v

s

,script(N

1

),v

KA You may find it useful to know that 'Bansuri' belongs to a familiar and well-known instrument called 'Flute'. Let's

explore 'Flute'.

v

KA

,script(N

4

),Q[1]

You may also find it useful to know that 'Fipple Flute' belongs to 'Flute' , and 'Bansuri' belongs to 'Fipple Flute'. Let's

explore 'Fipple Flute'.

v

KA

,script(N

4

),Q[2]

You may also find it useful to know that ‘Transverse Flute' belongs to 'Flute' , and 'Bansuri' belongs to 'Transverse

Flute'. Let's explore 'Transverse Flute'.

v

KA

,script(N

4

),Q[3]

You may also find it useful to know that ‘Indian Bamboo Flutes' belongs to 'Flute' , and 'Bansuri' belongs to 'Indian Bamboo

Flutes'. Let's explore 'Indian Bamboo Flutes'.

Example 4. Exploration path for Valve Brass Instruments

Figure 6.4 shows an example for generating the exploration path for the instrument Valve Brass Instruments (the first entity in the exploration path) using the closest knowledge anchor Tuba.

Figure 6.4. Extract from the Wind Instrument class hierarchy in MusicPinta showing exploration path of length 4 generated with first entity Valved Brass

Instruments.

Although we aimed to generate an exploration path of length (m = 5) for Valved Brass Instruments, however the generated exploration path length was 4 since there were only 3 subclasses to subsume. The exploration path was generated using the closest knowledge anchor Tuba and narrative types N2, N5 given in Table 6.1. The first transition narrative is between the first entity Valve Brass Instruments and the closest knowledge anchor Tuba (using N2 in Table 6.1). After that, the closest knowledge anchor Tuba is used to subsume new entities and to generate transition narratives in the exploration path using narrative type N5 (subsume subclasses of Tuba – line 23 in Algorithm 6.2). The transition narratives that were followed in generating the exploration path for Valve Brass Instruments are listed in Table 6.8.

Table 6.8. Transition narratives used for generating the exploration path for Valve Brass Instruments

Transition Narratives for path of

Valve Brass Instruments Narrative Script

v

s

,script(N

2

),v

KA You may find it useful to know that a familiar and well-known instrument called ‘Tuba’ belongs to the instrument ‘Valve

Brass Instruments’ . Let's explore ‘Tuba’.



v

KA

,script(N

5

),Q

[1]

You may also find it useful to know that ‘Euphonium’ belongs to ‘Tuba’. Let's explore ‘Euphonium’.



v

KA

,script(N

5

),Q[2]

You may also find it useful to know that ‘Sousaphone’ belongs to ‘Tuba’. Let's explore ‘Sousaphone’.



v

KA

,script(N

5

),Q[3]

You may also find it useful to know that ‘Wagner Tuba’ belongs to ‘Tuba’. Let's explore ‘Wagner Tuba’.