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Entropy2016,18, 110
âą How much the conclusions obtained for a given family of languages will depend on data
pre-processing(removalofâspoilingâfeatures, etc.)
âą Towhatextent theproposedcriterion(aboveorbelowtheasymptoticbound) isreallyanobjective
propertyofasetof languages.
Thiswill be addressedmore thoroughly in futurework. The concernabout the effect ofdata
pre-processing inpaticular requiresmoreanalysis, thatwillbedevelopedin furtherongoingwork,as
outlinedat theendofSection2.5.
Acknowledgments:Theauthorâs research issupportedbyNSFgrantsDMS-1201512andPHY-1205440,andby
thePerimeter Institute forTheoreticalPhysics. Theauthor thanks thereferees for theirusefulcomments.
ConïŹictsof Interest:TheauthordeclaresnoconïŹictof interest.
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454
Differential Geometrical Theory of Statistics
- Titel
- Differential Geometrical Theory of Statistics
- Autoren
- Frédéric Barbaresco
- Frank Nielsen
- Herausgeber
- MDPI
- Ort
- Basel
- Datum
- 2017
- Sprache
- englisch
- Lizenz
- CC BY-NC-ND 4.0
- ISBN
- 978-3-03842-425-3
- Abmessungen
- 17.0 x 24.4 cm
- Seiten
- 476
- Schlagwörter
- Entropy, Coding Theory, Maximum entropy, Information geometry, Computational Information Geometry, Hessian Geometry, Divergence Geometry, Information topology, Cohomology, Shape Space, Statistical physics, Thermodynamics
- Kategorien
- Naturwissenschaften Physik