01250nam0-22004091i-450-99000810187040332120050430102149.00-8218-3361-8000810187FED01000810187(Aleph)000810187FED0100081018720050430d2005----km-y0itay50------baengUSa---a---101yyGeometric evolution equationsNational center for theoretical sciences workshop on geometric evolution equations national Tsing HuaShu-Cheng Chang ... [e altri], editorsProvidenceAmerican mathematical societyc2005x, 235 p.24 cmContemporary mathematics367Geometria algebricaCongressiSoluzioni numericheCongressi515.3522itaChang,Shu-ChengChow,Bennett<1962- >Chu,Sun-ChinLinChang-ShouITUNINARICAUNIMARCBK990008101870403321C-1-(36720989MA1MA153C4435K5553C42Geometric evolution equations753866UNINA01075nam a2200265 i 450099100221063970753620020508192342.0960614s1974 it ||| | ita b1097555x-39ule_instPARLA157414ExLDip.to scienze storicheita871.03 Alphanus 323749I carmi di Alfano 1., arcivescovo di Salerno /Anselmo Lentini, Faustino AvaglianoMontecassino :1974XV, 263 p. ;26 cm.Miscellanea cassinese ;38Lentini, Anselmoauthorhttp://id.loc.gov/vocabulary/relators/aut224472Avagliano, Faustinoauthorhttp://id.loc.gov/vocabulary/relators/aut156044.b1097555x23-02-1728-06-02991002210639707536LE009 MSM VIII 10/3812009000073982le009-E0.00-no 00000.i1108691928-06-02Carmi di Alfano 1., arcivescovo di Salerno1456518UNISALENTOle00901-01-96ma -itait 2103115nam 22006015 450 991101596320332120250718130247.03-031-92731-110.1007/978-3-031-92731-7(MiAaPQ)EBC32227097(Au-PeEL)EBL32227097(CKB)39694545000041(DE-He213)978-3-031-92731-7(OCoLC)1530376635(EXLCZ)993969454500004120250718d2025 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierVariational and Information Flows in Machine Learning and Optimal Transport /by Wuchen Li, Bernhard Schmitzer, Gabriele Steidl, François-Xavier Vialard, Christian Wald1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Birkhäuser,2025.1 online resource (433 pages)Oberwolfach Seminars,2296-5041 ;563-031-92730-3 - 1. A Dynamic Perspective of Optimal Transport -- 2. A Geometric Perspective on Diffeomorphic and Optimal Transport Flows and Their Applications -- 3. Wasserstein Dynamics in Mathematical Data Sciences -- 4. Flow Matching: Markov Kernels, Stochastic Processes and Transport Plans.This book is based on lectures given at the Mathematisches Forschungsinstitut Oberwolfach on “Computational Variational Flows in Machine Learning and Optimal Transport”. Variational and stochastic flows on measure spaces are ubiquitous in machine learning and generative modeling. Optimal transport and diffeomorphic flows provide powerful frameworks to analyze such trajectories of distributions with elegant notions from differential geometry, such as geodesics, gradient and Hamiltonian flows. Recently, mean field control and mean field games offered a general optimal control variational view on learning problems. The four independent chapters in this book address the question of how the presented tools lead us to better understanding and further development of machine learning and generative models. .Oberwolfach Seminars,2296-5041 ;56Differential equationsMathematical optimizationCalculus of variationsDifferential EquationsCalculus of Variations and OptimizationDifferential equations.Mathematical optimization.Calculus of variations.Differential Equations.Calculus of Variations and Optimization.515.35Li Wuchen1834941Schmitzer Bernhard1834942Steidl Gabriele1438731Vialard François-Xavier1834943Wald Christian1834944MiAaPQMiAaPQMiAaPQBOOK9911015963203321Variational and Information Flows in Machine Learning and Optimal Transport4410635UNINA