Giovanni Conforti

1. KL Convergence Guarantees for Score diffusion models under minimal data assumptions
   2023/08/23 by Giovanni Conforti, Alain Durmus, Conforti, Giovanni +3 · 10 citations
   Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Statistical Mechanics and Entropy #Statistical Methods and Bayesian Inference #Statistics Theory (math.ST)
2. Projected Langevin dynamics and a gradient flow for entropic optimal transport
   2023/09/15 by Giovanni Conforti, Daniel Lacker, Conforti, Giovanni +3 · 7 citations
   Computer Science · Mathematics · Medicine · #49Q22 #60H30 #Advanced Neuroimaging Techniques and Applications #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Generative Adversarial Networks and Image Synthesis #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Probability (math.PR)
3. Time reversal of diffusion processes under a finite entropy condition
   2021/04/15 by Patrick Cattiaux, Cattiaux, Patrick, Giovanni Conforti +5 · 4 citations
   Biochemistry, Genetics and Molecular Biology · Computer Science · Economics, Econometrics and Finance · #Advanced Mathematical Modeling in Engineering #Diffusion and Search Dynamics #FOS: Mathematics #Probability (math.PR) #Stochastic processes and financial applications
4. The exponential turnpike phenomenon for mean field game systems: weakly monotone drifts and small interactions
   2024/09/13 by Alekos Cecchin, Giovanni Conforti, Cecchin, Alekos +5 · 4 citations
   Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #35B40 #49N80 #60H30 #60J60 #93E20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR) #Quantum chaos and dynamical systems #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
5. Fluctuations of bridges, reciprocal characteristics, and concentration\n of measure
   2016/02/23 by Giovanni Conforti, Conforti, Giovanni · 1 citation
   Mathematics · #Stochastic processes and statistical mechanics #Mathematical Dynamics and Fractals #Markov Chains and Monte Carlo Methods
6. Couplings, gradient estimates and logarithmic Sobolev inequality for Langevin bridges
   2016/12/27 by Giovanni Conforti, Max von Renesse, Conforti, Giovanni +1 · 1 citation
   Mathematics · Economics, Econometrics and Finance · #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #Stochastic processes and financial applications
7. Theoretical guarantees in KL for Diffusion Flow Matching
   2024/09/12 by Marta Gentiloni Silveri, Giovanni Conforti, Silveri, Marta Gentiloni +3 · 4 citations
   Engineering · #Advanced Control Systems Optimization #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR)
8. Quantitative contraction rates for Sinkhorn's algorithm: beyond bounded costs and compact marginals
   2023/04/10 by Giovanni Conforti, Alain Durmus, Conforti, Giovanni +3 · 2 citations
   Mathematics · #47D07 (Secondary) #49Q22 #90C25 (Primary) 49N05 #93E20 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Optimization and Control (math.OC) #Probability (math.PR)
9. Propagation of weak log-concavity along generalised heat flows via Hamilton-Jacobi equations
   2025/08/11 by Louis-Pierre Chaintron, Chaintron, Louis-Pierre, Giovanni Conforti +3 · 5 citations
   Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth #Probability (math.PR)
10. A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm
    2024/12/12 by Alberto Chiarini, Chiarini, Alberto, Giovanni Conforti +5 · 2 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)
11. Hamilton--Jacobi equations for controlled gradient flows: cylindrical test functions
    2023/02/13 by Giovanni Conforti, Conforti, Giovanni, Richard C. Kraaij +3 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Mathematics · #35F21 #49L25 (Primary) 49Q22 #49Q20 #93E20 (Secondary) #Analysis of PDEs (math.AP) #Dermatological and Skeletal Disorders #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Probability (math.PR)
12. A coupling approach to Lipschitz transport maps
    2025/02/03 by Giovanni Conforti, Conforti, Giovanni, Katharina Eichinger +1 · 1 voice · 1 citation
    Mathematics · #Mathematical Dynamics and Fractals