Conforti, Giovanni

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. Measure-valued spline curves: an optimal transport viewpoint
   2018/01/09 by Chen, Yongxin, Conforti, Giovanni, Georgiou, Tryphon T. · 2 citations
   #46Nxx #58J65 #93E20 #FOS: Electrical engineering #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
5. Multi-marginal Schrodinger bridges
   2019/02/22 by Chen, Yongxin, Conforti, Giovanni, Georgiou, Tryphon T. +1 · 2 citations
   #46Nxx #58J65 #93E20 #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
6. 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
7. 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)
8. Weak semiconvexity estimates for Schrödinger potentials and logarithmic Sobolev inequality for Schrödinger bridges
   2022/12/31 by Conforti, Giovanni · 3 citations
   #35G50 #39B62 #49L12 #49Q22 #60J60 #FOS: Mathematics #Probability (math.PR)
9. 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
10. 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
11. A second order equation for Schrödinger bridges with applications to the hot gas experiment and entropic transportation cost
    2017/04/16 by Conforti, Giovanni · 1 citation
    #35Q70 #47D07 #58J65 #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
12. 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)
13. A formula for the time derivative of the entropic cost and applications
    2019/12/22 by Conforti, Giovanni, Tamanini, Luca · 1 citation
    #49Q20 #60E15 (Primary) 47D07 (Secondary) #FOS: Mathematics #Probability (math.PR)
14. Game on Random Environment, Mean-field Langevin System and Neural Networks
    2020/04/06 by Conforti, Giovanni, Kazeykina, Anna, Ren, Zhenjie · 1 citation
    #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural and Evolutionary Computing (cs.NE) #Optimization and Control (math.OC) #Probability (math.PR)
15. Convergence of Sinkhorn's Algorithm for Entropic Martingale Optimal Transport Problem
    2024/07/19 by Chen, Fan, Conforti, Giovanni, Ren, Zhenjie +1 · 2 citations
    #60-08 #FOS: Mathematics #Probability (math.PR)
16. 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)
17. 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)
18. 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)
19. 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)
20. 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)
21. A coupling approach to Lipschitz transport maps
    2025/02/03 by Giovanni Conforti, Katharina Eichinger, Conforti, Giovanni +1 · 1 voice · 1 citation
    Mathematics · #Mathematical Dynamics and Fractals
22. Bit-Level Discrete Diffusion with Markov Probabilistic Models: An Improved Framework with Sharp Convergence Bounds under Minimal Assumptions
    2025/02/11 by Pham, Le-Tuyet-Nhi, Shariatian, Dario, Ocello, Antonio +2 · 2 citations
    #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)