Tesi etd-06252018-134413 |
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Tipo di tesi
Tesi di laurea magistrale
URN
etd-06252018-134413
Titolo
A New Approach to the Random Matching Problem
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
.
relatore Prof. Ambrosio, Luigi
controrelatore Dott. Trevisan, Dario
controrelatore Dott. Trevisan, Dario
Parole chiave
- Matching Problem
- Optimal Transport
- Probability
Data inizio appello
13/07/2018
Consultabilità
Completa
Riassunto (Inglese)
Riassunto (Italiano)
The random matching problem concerns the study of the transportation cost of empirical measures of independent identically distributed random variables towards their common law.
Working on a 2-dimensional manifold with cost given by the quadratic Wasserstein distance $W^2_2$, we describe an improvement over the technique by Ambrosio, Stra, Trevisan to compute the asymptotic rate of the expected cost. Furthermore, we outline a new optimality condition for transport maps on manifolds.
Working on a 2-dimensional manifold with cost given by the quadratic Wasserstein distance $W^2_2$, we describe an improvement over the technique by Ambrosio, Stra, Trevisan to compute the asymptotic rate of the expected cost. Furthermore, we outline a new optimality condition for transport maps on manifolds.
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| Nome file | Dimensione |
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| thesis.pdf | 754.08 Kb |
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