Sodini, Giacomo Enrico

1. A Lagrangian approach to totally dissipative evolutions in Wasserstein spaces
   2023/05/09 by Cavagnari, Giulia, Savaré, Giuseppe, Sodini, Giacomo Enrico · 3 citations
   #28D05 #34A60 #47B44 #49Q22. Secondary: 34A12 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #Primary: 34A06 #Probability (math.PR)
2. Approximation Theory, Computing, and Deep Learning on the Wasserstein Space
   2023/10/30 by Massimo Fornasier, Pascal Heid, Fornasier, Massimo +3 · 2 citations
   Engineering · Medicine · #28A33 #33F05 #46E36 #49Q22 #68T07 #Composite Material Mechanics #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (cs.LG) #Medical Imaging Techniques and Applications #Optimization and Control (math.OC) #Radiomics and Machine Learning in Medical Imaging
3. Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces
   2022/09/02 by Fornasier, Massimo, Savaré, Giuseppe, Sodini, Giacomo Enrico · 1 citation
   #46E36 31C25 49Q20 28A33 35F21 58J65 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
4. The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities
   2022/12/21 by Giacomo Enrico Sodini, Sodini, Giacomo Enrico · 1 citation
   Mathematics · Medicine · #Geometric Analysis and Curvature Flows #Bone and Joint Diseases
5. A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation
   2023/12/31 by Giuseppe Savaré, Savaré, Giuseppe, Giacomo Enrico Sodini +1 · 1 citation
   Mathematics · #28A33 #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Optimization and Control (math.OC) #Primary: 49Q22 #Secondary: 49K27
6. Stochastic Euler Schemes and Dissipative Evolutions in the Space of Probability Measures
   2025/05/27 by Cavagnari, Giulia, Savaré, Giuseppe, Sodini, Giacomo Enrico · 2 citations
   #34A60 #47B44 #49Q22 #FOS: Mathematics #Functional Analysis (math.FA) #Primary: 34A06 #Probability (math.PR) #Secondary: 34A12