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Fig 1.

(a) Series corresponding to the 30 s sample of a string quartet by Claude Debussy, (b) local standard deviation series of the signal represented in (a).

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Fig 2.

Cartesian representation of a series of eight points {Vj} (a) and their respective visibility graph (b).

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Fig 3.

Visibility graph generated from Debussy string quartet {Vj} series (Fig 1).

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Fig 4.

(a) Music signal with strong PIH (heavy metal style); (b) music signal with poor PIH (classical style).

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Fig 5.

Local standard deviation series of 30 s audio samples.

The color blue represents the jazz genre, and red and black represent the hip-hop and classical genres, respectively.

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Fig 6.

{Vj} Series (left) and their respective visibility graphs (right).

The colors in the graphs are the communities, which are obtained from modularity.

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Table 1.

Mean and standard deviation of the topological properties of visibility graphs.

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Table 1 Expand

Fig 7.

Mean Q (a) and 〈k〉 (b) calculated from 100 visibility graphs labeled in 10 musical genres.

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Fig 8.

Difference in the mean Nc between pairs of musical genres according to Tukey’s test.

Black boxes represent statistically significant differences, and white boxes represent nonsignificant differences.

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Table 2.

Pairs of musical genres with significant differences for clusters formed with the ASVD components, according to Tukey’s test.

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Table 3.

Classification using artificial neural networks and ASVD attributes.

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Table 3 Expand

Fig 9.

True positives rate for classification using neural networks, where the input attributes are the ASVD or beat histogram.

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Fig 10.

Results of classification with neural network: Audio Signal Visibility Descriptor (ASVD) & Audio Signal Processing Descriptors (ASPD) compared with beat histogram & ASPD.

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Fig 11.

Gain ratio for the attribute selection.

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Fig 12.

Result of the classification of musical genres in the GTZAN database in our proposal and in the experiment of [7].

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Fig 13.

SANN with a hidden layer of 16 neurons considering ASVD at the input layer.

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Fig 14.

SANN with a hidden layer of 16 neurons considering BH at the input layer.

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Fig 15.

SANN with two hidden layers of 32 neurons and ASVD + ASPD at the input layer.

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Fig 16.

SANN with a hidden layer of 32 neurons and BH + ASPD at the input layer.

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