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Résumé de section
Sélectionner l’activité November 4: characterization of sigma-finite Borel measures on R
November 4: characterization of sigma-finite Borel measures on R
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Sélectionner l’activité November 18: measurable functions, push forward of a measure, integration w.r.t a measure, Radon Nikodym theorem
November 18: measurable functions, push forward of a measure, integration w.r.t a measure, Radon Nikodym theorem
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Sélectionner l’activité November 20: absolutely continuous measure and singular measures. Joint law of two random variables. Metric spaces and Banach spaces.
November 20: absolutely continuous measure and singular measures. Joint law of two random variables. Metric spaces and Banach spaces.
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Sélectionner l’activité November 27: Jensen inequality, Holder inequality. Banach spaces of rando variables with finite p-moment. Scalar product in M^2.
November 27: Jensen inequality, Holder inequality. Banach spaces of rando variables with finite p-moment. Scalar product in M^2.
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Sélectionner l’activité November 27 registration
November 27 registration
Kaltura Video Resource
Sélectionner l’activité December 2: Orthogonal projection theorem in Hilbert spaces. The conditional expectation of a random variable with respect to a sigma algebra (or with respect to another random variable)
December 2: Orthogonal projection theorem in Hilbert spaces. The conditional expectation of a random variable with respect to a sigma algebra (or with respect to another random variable)
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Sélectionner l’activité December 10: coupling between measures, and deterministic couplings. Optimal transport problem
December 10: coupling between measures, and deterministic couplings. Optimal transport problem
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Sélectionner l’activité Registration December 10
Registration December 10
Kaltura Video Resource
Sélectionner l’activité December 15: Monge and Kantorovich optimal transport problem, and Wasserstein distance.
December 15: Monge and Kantorovich optimal transport problem, and Wasserstein distance.
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