Scarpa, Luca
- Convergence proof for stochastic gradient descent in the training of deep neural networks with ReLU activation for constant target functions
2021/12/13 by Hutzenthaler, Martin, Jentzen, Arnulf, Pohl, Katharina +2 · 2 citations
#FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Probability (math.PR)
- Weak uniqueness by noise for singular stochastic PDEs
2023/08/03 by Bertacco, Federico, Orrieri, Carlo, Scarpa, Luca · 3 citations
#35R15 #35R60 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- On the positivity of local mild solutions to stochastic evolution equations
2019/12/31 by Carlo Marinelli, Luca Scarpa, Marinelli, Carlo +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · #Stochastic processes and financial applications #advanced mathematical theories #Financial Risk and Volatility Modeling
- Random separation property for stochastic Allen-Cahn-type equations
2021/10/13 by Federico Bertacco, Carlo Orrieri, Bertacco, Federico +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Probability (math.PR) #Stochastic processes and statistical mechanics
- A stochastic Allen-Cahn-Navier-Stokes system with singular potential
2022/05/21 by Andrea Di Primio, Di Primio, Andrea, Maurizio Grasselli +3 · 1 citation
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #Solidification and crystal growth phenomena #Stochastic processes and statistical mechanics
- Degenerate Kolmogorov equations and ergodicity for the stochastic Allen-Cahn equation with logarithmic potential
2022/06/20 by Luca Scarpa, Scarpa, Luca, Margherita Zanella +1 · 1 citation
Economics, Econometrics and Finance · Materials Science · Mathematics · #35J70 #37A25 #37L40 #47D07 #47H06 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #Solidification and crystal growth phenomena #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
- Existence, uniqueness and asymptotic stability of invariant measures for the stochastic Allen-Cahn-Navier-Stokes system with singular potential
2025/01/10 by Di Primio, Andrea, Scarpa, Luca, Zanella, Margherita · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential
2023/06/27 by Abramo Agosti, Elisabetta Rocca, Agosti, Abramo +3 · 1 citation
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Solidification and crystal growth phenomena
- Local asymptotics and optimal control for a viscous Cahn-Hilliard-Reaction-Diffusion model for tumor growth
2023/11/17 by Elisa Davoli, Davoli, Elisa, Elisabetta Rocca +5 · 1 citation
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Solidification and crystal growth phenomena #Differential Equations and Numerical Methods
- Well-posedness of monotone semilinear SPDEs with semimartingale noise
2018/05/19 by Carlo Marinelli, Luca Scarpa, Marinelli, Carlo +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Probability (math.PR) #Stochastic processes and financial applications
- Nonlocal to local convergence of phase field systems with inertial term
2024/02/19 by Colli, Pierluigi, Kurima, Shunsuke, Scarpa, Luca · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Stochastic Cahn-Hilliard and conserved Allen-Cahn equations with logarithmic potential and conservative noise
2023/09/08 by Andrea Di Primio, Maurizio Grasselli, Di Primio, Andrea +3 · 1 citation
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Solidification and crystal growth phenomena #Stochastic processes and statistical mechanics