A Survey on concentration inequalities
The source code for the project can be found at: https://github.com/martinprad0/Thesis
- Autores:
-
Prado Guerra, Martín
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2024
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/73881
- Acceso en línea:
- https://hdl.handle.net/1992/73881
- Palabra clave:
- Concentration
Inequality
Probability
Vapnik–Chervonenkis theory
Hoeffding inequality
Exponential inequality
Measure
Manifold sampling
Dimension estimation
Matemáticas
- Rights
- openAccess
- License
- Attribution 4.0 International
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A Survey on concentration inequalities |
| title |
A Survey on concentration inequalities |
| spellingShingle |
A Survey on concentration inequalities Concentration Inequality Probability Vapnik–Chervonenkis theory Hoeffding inequality Exponential inequality Measure Manifold sampling Dimension estimation Matemáticas |
| title_short |
A Survey on concentration inequalities |
| title_full |
A Survey on concentration inequalities |
| title_fullStr |
A Survey on concentration inequalities |
| title_full_unstemmed |
A Survey on concentration inequalities |
| title_sort |
A Survey on concentration inequalities |
| dc.creator.fl_str_mv |
Prado Guerra, Martín |
| dc.contributor.advisor.none.fl_str_mv |
Quiroz Salazar, Adolfo José |
| dc.contributor.author.none.fl_str_mv |
Prado Guerra, Martín |
| dc.contributor.jury.none.fl_str_mv |
Junca Peláez, Mauricio José |
| dc.subject.keyword.eng.fl_str_mv |
Concentration Inequality Probability Vapnik–Chervonenkis theory Hoeffding inequality Exponential inequality Measure Manifold sampling Dimension estimation |
| topic |
Concentration Inequality Probability Vapnik–Chervonenkis theory Hoeffding inequality Exponential inequality Measure Manifold sampling Dimension estimation Matemáticas |
| dc.subject.themes.spa.fl_str_mv |
Matemáticas |
| description |
The source code for the project can be found at: https://github.com/martinprad0/Thesis |
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2024 |
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2024-02-05T13:07:17Z |
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2024-02-05T13:07:17Z |
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2024-01-31 |
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Trabajo de grado - Pregrado |
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info:eu-repo/semantics/bachelorThesis |
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eng |
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eng |
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Noga Alon and Joel H Spencer. The probabilistic method. John Wiley & Sons, 2016. Stéphane Boucheron, Gábor Lugosi, and Olivier Bousquet. Concentration inequalities. In Summer school on machine learning, pages 208–240. Springer, 2003. Luc Devroye, László Györfi, and Gábor Lugosi. A probabilistic theory of pattern recognition, volume 31. Springer Science & Business Media, 2013. Mateo Dı́az, Adolfo J Quiroz, and Mauricio Velasco. Local angles and dimension estimation from data on manifolds. Journal of Multivariate Analysis, 173:229–247, 2019. H Gzyl, R Jiménez, and AJ Quiroz. The physicist’s approach to the travelling salesman problem—ii. Mathematical and Computer Modelling, 13(7):45–48, 1990. Svante Janson. On concentration of probability. Contemporary combinatorics, 10(3): 1–9, 2002. David Pollard. Convergence of stochastic processes. David Pollard, 1984. Loring W Tu. Manifolds. In An Introduction to Manifolds, pages 47–83. Springer, 2011. |
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Attribution 4.0 International |
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http://creativecommons.org/licenses/by/4.0/ |
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openAccess |
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45 páginas |
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application/pdf |
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Universidad de los Andes |
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Matemáticas |
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Facultad de Ciencias |
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Departamento de Matemáticas |
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Universidad de los Andes |
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Universidad de los Andes |
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Quiroz Salazar, Adolfo Josévirtual::377-1Prado Guerra, MartínJunca Peláez, Mauricio Josévirtual::378-12024-02-05T13:07:17Z2024-02-05T13:07:17Z2024-01-31https://hdl.handle.net/1992/73881instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/The source code for the project can be found at: https://github.com/martinprad0/ThesisConcentration inequalities are formulas for the upper and lower bounds of the distribution of a random variable. The low computational cost of the inequality formulas, in comparison to the direct calculation of the distributions, make them viable for the estimation of distributions around the tails. In this survey, you will find the details, examples and applications of some of the most important concentration inequalities.MatemáticoPregrado45 páginasapplication/pdfengUniversidad de los AndesMatemáticasFacultad de CienciasDepartamento de MatemáticasAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2A Survey on concentration inequalitiesTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_7a1fTexthttp://purl.org/redcol/resource_type/TPConcentrationInequalityProbabilityVapnik–Chervonenkis theoryHoeffding inequalityExponential inequalityMeasureManifold samplingDimension estimationMatemáticasNoga Alon and Joel H Spencer. The probabilistic method. John Wiley & Sons, 2016.Stéphane Boucheron, Gábor Lugosi, and Olivier Bousquet. Concentration inequalities. In Summer school on machine learning, pages 208–240. Springer, 2003.Luc Devroye, László Györfi, and Gábor Lugosi. A probabilistic theory of pattern recognition, volume 31. Springer Science & Business Media, 2013.Mateo Dı́az, Adolfo J Quiroz, and Mauricio Velasco. Local angles and dimension estimation from data on manifolds. Journal of Multivariate Analysis, 173:229–247, 2019.H Gzyl, R Jiménez, and AJ Quiroz. The physicist’s approach to the travelling salesman problem—ii. Mathematical and Computer Modelling, 13(7):45–48, 1990.Svante Janson. On concentration of probability. Contemporary combinatorics, 10(3): 1–9, 2002.David Pollard. Convergence of stochastic processes. David Pollard, 1984.Loring W Tu. Manifolds. In An Introduction to Manifolds, pages 47–83. 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