Tamanini, Luca
- A formula for the time derivative of the entropic cost and applications
2019/12/22 by Conforti, Giovanni, Tamanini, Luca · 4 citations
#49Q20 #60E15 (Primary) 47D07 (Secondary) #FOS: Mathematics #Probability (math.PR)
- An entropic interpolation proof of the HWI inequality
2018/07/18 by Gentil, Ivan, Léonard, Christian, Ripani, Luigia +1 · 3 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Probability (math.PR)
- Convergence rate of general entropic optimal transport costs
2022/06/07 by Guillaume Carlier, Carlier, Guillaume, Paul Pegon +3 · 5 citations
Mathematics · #49K40 (Secondary) #49Q22 (Primary) 49N15 #94A17 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration #Optimization and Control (math.OC)
- The dynamical Schrödinger problem in abstract metric spaces
2020/12/22 by Léonard Monsaingeon, Luca Tamanini, Monsaingeon, Léonard +3 · 3 citations
Mathematics · Physics and Astronomy · #49J45 #49Q20 #58B20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Statistical Mechanics and Entropy
- Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability
2022/07/28 by Chiarini, Alberto, Conforti, Giovanni, Greco, Giacomo +1 · 2 citations
#34K20 (Primary) 47D07 #49Q22 #53C21 (Secondary) #60E15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm
2024/12/12 by Alberto Chiarini, Giovanni Conforti, Chiarini, Alberto +5 · 4 citations
Computer Science · Mathematics · #49Q22 #60E15 #68Q87 #68W40 #90C25 #Advanced Optimization Algorithms Research #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Mathematical Biology Tumor Growth #Optimization and Control (math.OC) #Optimization and Variational Analysis #Probability (math.PR)
- Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds
2020/09/07 by Erbar, Matthias, Rigoni, Chiara, Sturm, Karl-Theodor +1 · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Probability (math.PR)
- Hamilton--Jacobi equations for Wasserstein controlled gradient flows: existence of viscosity solutions
2024/01/04 by Conforti, Giovanni, Kraaij, Richard C., Tamanini, Luca +1 · 2 citations
#35F21 #49L25 #49Q22 #93E20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- The Riemannian geometry of Sinkhorn divergences
2024/05/08 by Lavenant, Hugo, Luckhardt, Jonas, Mordant, Gilles +2 · 2 citations
#49Q22 (Primary) 51F99 (Secondary) #FOS: Mathematics #Metric Geometry (math.MG) #Optimization and Control (math.OC)
- Viscosity solutions of Hamilton-Jacobi equation in RCD(K,∞) spaces and applications to large deviations
2022/03/22 by Nicola Gigli, Luca Tamanini, Gigli, Nicola +3 · 1 citation
Mathematics · Economics, Econometrics and Finance · #Geometric Analysis and Curvature Flows #Stochastic processes and financial applications #Geometry and complex manifolds