03290nam 22007335 450 99665526350331620251204162508.03-031-85160-910.1007/978-3-031-85160-5(CKB)38496453200041(DE-He213)978-3-031-85160-5(MiAaPQ)EBC32006609(Au-PeEL)EBL32006609(OCoLC)1523376299(PPN)284780081(EXLCZ)993849645320004120250411d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierStatistical Optimal Transport École d'Été de Probabilités de Saint-Flour XLIX – 2019 /by Sinho Chewi, Jonathan Niles-Weed, Philippe Rigollet1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (XIV, 260 p. 10 illus., 3 illus. in color.)École d'Été de Probabilités de Saint-Flour ;23643-031-85159-5 1. Optimal Transport -- 2. Estimation of Wasserstein distances -- 3. Estimation of transport maps -- 4. Entropic optimal transport -- 5. Wasserstein gradient flows: theory.-6. Wasserstein gradient flows: applications -- 7. Metric geometry of the Wasserstein space -- 8. Wasserstein barycenters.This monograph aims to offer a concise introduction to optimal transport, quickly transitioning to its applications in statistics and machine learning. It is primarily tailored for students and researchers in these fields, yet it remains accessible to a broader audience of applied mathematicians and computer scientists. Each chapter is complemented with exercises for the reader to test their understanding. As such, this monograph is suitable for a graduate course on the topic of statistical optimal transport.École d'Été de Probabilités de Saint-Flour ;2364StatisticsMachine learningMathematical optimizationCalculus of variationsStatistical physicsProbabilitiesStatistical Theory and MethodsMachine LearningCalculus of Variations and OptimizationStatistical PhysicsProbability TheoryStatistics.Machine learning.Mathematical optimization.Calculus of variations.Statistical physics.Probabilities.Statistical Theory and Methods.Machine Learning.Calculus of Variations and Optimization.Statistical Physics.Probability Theory.519.5Chewi Sinhoauthttp://id.loc.gov/vocabulary/relators/aut1816819Niles-Weed Jonathanauthttp://id.loc.gov/vocabulary/relators/autRigollet Philippeauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996655263503316Statistical Optimal Transport4373637UNISA