A multi-objective-based approach for Fair Principal Component Analysis. Article Swipe
Guilherme Dean Pelegrina
,
Renan Brotto
,
Leonardo Tomazeli Duarte
,
João Marcos Travassos Romano
,
Romis Attux
·
YOU?
·
· 2020
· Open Access
·
YOU?
·
· 2020
· Open Access
·
In dimension reduction problems, the adopted technique may produce disparities between the representation errors of two or more different groups. For instance, in the projected space, a specific class can be better represented in comparison with the other ones. Depending on the situation, this unfair result may introduce ethical concerns. In this context, this paper investigates how a fairness measure can be considered when performing dimension reduction through principal component analysis. Since both reconstruction error and fairness measure must be taken into account, we propose a multi-objective-based approach to tackle the Fair Principal Component Analysis problem. The experiments attest that a fairer result can be achieved with a very small loss in the reconstruction error.
Related Topics
Concepts
Principal component analysis
Measure (data warehouse)
Dimension (graph theory)
Dimensionality reduction
Representation (politics)
Context (archaeology)
Reduction (mathematics)
Computer science
Class (philosophy)
Principal (computer security)
Component (thermodynamics)
Mathematical optimization
Algorithm
Mathematics
Artificial intelligence
Data mining
Law
Computer security
Pure mathematics
Paleontology
Geometry
Political science
Thermodynamics
Politics
Biology
Physics
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://arxiv.org/abs/2006.06137
- OA Status
- green
- References
- 19
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W3034429032
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3034429032Canonical identifier for this work in OpenAlex
- Title
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A multi-objective-based approach for Fair Principal Component Analysis.Work title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2020Year of publication
- Publication date
-
2020-06-11Full publication date if available
- Authors
-
Guilherme Dean Pelegrina, Renan Brotto, Leonardo Tomazeli Duarte, João Marcos Travassos Romano, Romis AttuxList of authors in order
- Landing page
-
https://arxiv.org/abs/2006.06137Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/abs/2006.06137Direct OA link when available
- Concepts
-
Principal component analysis, Measure (data warehouse), Dimension (graph theory), Dimensionality reduction, Representation (politics), Context (archaeology), Reduction (mathematics), Computer science, Class (philosophy), Principal (computer security), Component (thermodynamics), Mathematical optimization, Algorithm, Mathematics, Artificial intelligence, Data mining, Law, Computer security, Pure mathematics, Paleontology, Geometry, Political science, Thermodynamics, Politics, Biology, PhysicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
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19Number of works referenced by this work
- Related works (count)
-
20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.this | 43, 51, 53 |
| abstract_inverted_index.very | 108 |
| abstract_inverted_index.when | 63 |
| abstract_inverted_index.with | 35, 106 |
| abstract_inverted_index.Since | 71 |
| abstract_inverted_index.class | 28 |
| abstract_inverted_index.error | 74 |
| abstract_inverted_index.ones. | 38 |
| abstract_inverted_index.other | 37 |
| abstract_inverted_index.paper | 54 |
| abstract_inverted_index.small | 109 |
| abstract_inverted_index.taken | 80 |
| abstract_inverted_index.attest | 98 |
| abstract_inverted_index.better | 31 |
| abstract_inverted_index.error. | 114 |
| abstract_inverted_index.errors | 13 |
| abstract_inverted_index.fairer | 101 |
| abstract_inverted_index.result | 45, 102 |
| abstract_inverted_index.space, | 25 |
| abstract_inverted_index.tackle | 89 |
| abstract_inverted_index.unfair | 44 |
| abstract_inverted_index.adopted | 5 |
| abstract_inverted_index.between | 10 |
| abstract_inverted_index.ethical | 48 |
| abstract_inverted_index.groups. | 19 |
| abstract_inverted_index.measure | 59, 77 |
| abstract_inverted_index.produce | 8 |
| abstract_inverted_index.propose | 84 |
| abstract_inverted_index.through | 67 |
| abstract_inverted_index.Analysis | 94 |
| abstract_inverted_index.account, | 82 |
| abstract_inverted_index.achieved | 105 |
| abstract_inverted_index.approach | 87 |
| abstract_inverted_index.context, | 52 |
| abstract_inverted_index.fairness | 58, 76 |
| abstract_inverted_index.problem. | 95 |
| abstract_inverted_index.specific | 27 |
| abstract_inverted_index.Component | 93 |
| abstract_inverted_index.Depending | 39 |
| abstract_inverted_index.Principal | 92 |
| abstract_inverted_index.analysis. | 70 |
| abstract_inverted_index.component | 69 |
| abstract_inverted_index.concerns. | 49 |
| abstract_inverted_index.different | 18 |
| abstract_inverted_index.dimension | 1, 65 |
| abstract_inverted_index.instance, | 21 |
| abstract_inverted_index.introduce | 47 |
| abstract_inverted_index.principal | 68 |
| abstract_inverted_index.problems, | 3 |
| abstract_inverted_index.projected | 24 |
| abstract_inverted_index.reduction | 2, 66 |
| abstract_inverted_index.technique | 6 |
| abstract_inverted_index.comparison | 34 |
| abstract_inverted_index.considered | 62 |
| abstract_inverted_index.performing | 64 |
| abstract_inverted_index.situation, | 42 |
| abstract_inverted_index.disparities | 9 |
| abstract_inverted_index.experiments | 97 |
| abstract_inverted_index.represented | 32 |
| abstract_inverted_index.investigates | 55 |
| abstract_inverted_index.reconstruction | 73, 113 |
| abstract_inverted_index.representation | 12 |
| abstract_inverted_index.multi-objective-based | 86 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 5 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/16 |
| sustainable_development_goals[0].score | 0.5400000214576721 |
| sustainable_development_goals[0].display_name | Peace, Justice and strong institutions |
| citation_normalized_percentile |