4.2 Article

The logical style painting classifier based on Horn clauses and explanations (l-SHE)

Journal

LOGIC JOURNAL OF THE IGPL
Volume 29, Issue 1, Pages 96-119

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/jigpal/jzz029

Keywords

qualitative colour; art; fuzzy logics; Horn clause; logic programming; classifier; explainable AI

Funding

  1. Generalitat de Catalunya
  2. European Social Fund
  3. YERUN Research Mobility Award (Young European Research UNiversities, first edition, 2017/2018)
  4. European Union [689176]
  5. Generalitat de Catalunya [2017SGR-172]
  6. University of Bremen
  7. YERUN Research Mobility Award (Young European Research UNiversities, second edition, 2018/2019)
  8. BSCC
  9. [RASO TIN2015-71799-C2-1-P]
  10. [CIMBVAL TIN2017-89758-R]

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This study presents a painting classifier based on logical relationships and color descriptors, utilizing fuzzy representation of color traits and testing on two datasets. The classifier accurately identifies paintings of different styles, providing classification reasons and handling outliers effectively.
This paper presents a logical Style painting classifier based on evaluated Horn clauses, qualitative colour descriptors and Explanations (l-SHE). Three versions of l-SHE are defined, using rational Pavelka logic (RPL), and expansions of Godel logic and product logic with rational constants: RPL, G(Q) and (sic) (Q), respectively. We introduce a fuzzy representation of the more representative colour traits for the Baroque, the Impressionism and the Post-Impressionism art styles. The l-SHE algorithm has been implemented in Swi-Prolog and tested on 90 paintings of the QArt-Dataset and on 247 paintings of the Paintings-91-PIB dataset. The percentages of accuracy obtained in the QArt-Dataset for each l-SHE version are 73.3% (RPL), 65.6% (G(Q)) and 68.9% ((sic) (Q)). Regarding the Paintings-91-PIB dataset, the percentages of accuracy obtained for each l-SHE version are 60.2% (RPL), 48.2% (G(Q)) and 57.0% ((sic) (Q)). Our logic definition for the Baroque style has obtained the highest accuracy in both datasets, for all the l-SHE versions (the lowest Baroque case gets 85.6% of accuracy). An important feature of the classifier is that it provides reasons regarding why a painting belongs to a certain style. The classifier also provides reasons about why outliers of one art style may belong to another art style, giving a second classification option depending on its membership degrees to these styles.

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