Promit Ghosal

1. Measuring Association on Topological Spaces Using Kernels and Geometric Graphs
   2020/10/05 by Nabarun Deb, Promit Ghosal, Deb, Nabarun +3 · 9 citations
   Computer Science · Mathematics · Physics and Astronomy · #60D05 #60F05 #62G10 #62H20 #Complex Network Analysis Techniques #FOS: Mathematics #Probability (math.PR) #Statistical Methods and Inference #Statistics Theory (math.ST) #Topological and Geometric Data Analysis
2. Multivariate Ranks and Quantiles using Optimal Transport: Consistency, Rates, and Nonparametric Testing
   2019/05/14 by Promit Ghosal, Bodhisattva Sen, Ghosal, Promit +1 · 7 citations
   Computer Science · Mathematics · #35J96 #60F15 #62G20 #62G30 #FOS: Mathematics #Geochemistry and Geologic Mapping #Probability (math.PR) #Statistical Methods and Inference #Statistics Theory (math.ST)
3. Stability of Entropic Optimal Transport and Schrödinger Bridges
   2021/06/07 by Promit Ghosal, Marcel Nutz, Ghosal, Promit +3 · 6 citations
   Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering
4. Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projections
   2021/07/04 by Nabarun Deb, Promit Ghosal, Deb, Nabarun +3 · 6 citations
   Mathematics · #62G05 #62H15 #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Point processes and geometric inequalities #Probability (math.PR) #Statistics Theory (math.ST)
5. Law of Iterated Logarithms and Fractal Properties of the KPZ Equation
   2021/01/04 by Sayan Das, Promit Ghosal, Das, Sayan +1 · 2 citations
   Economics, Econometrics and Finance · Physics and Astronomy · Mathematics · #Complex Systems and Time Series Analysis #Theoretical and Computational Physics #Stochastic processes and statistical mechanics
6. On the Convergence Rate of Sinkhorn's Algorithm
   2022/12/12 by Promit Ghosal, Ghosal, Promit, Marcel Nutz +1 · 2 citations
   Computer Science · Mathematics · Physics and Astronomy · #49N05 #90C25 #Advanced Mathematical Modeling in Engineering #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Probability (math.PR)
7. Fractal geometry of the PAM in 2D and 3D with white noise potential
   2023/03/28 by Promit Ghosal, Ghosal, Promit, Jaeyun Yi +1 · 2 citations
   Computer Science · Mathematics · Physics and Astronomy · #60K37 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Primary 60H16 #Probability (math.PR) #Secondary 35R60 #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
8. Proof of Zamolodchikov conjecture for semi-classical conformal blocks on the torus
   2024/07/08 by Harini Desiraju, Promit Ghosal, Desiraju, Harini +3 · 3 citations
   Mathematics · #Analytic and geometric function theory #Mathematical Dynamics and Fractals #Geometric and Algebraic Topology
9. High-dimensional scaling limits and fluctuations of online least-squares SGD with smooth covariance
   2023/04/03 by Krishnakumar Balasubramanian, Promit Ghosal, Balasubramanian, Krishnakumar +3 · 2 citations
   Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Probability (math.PR) #Statistics Theory (math.ST) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
10. Towards Understanding the Dynamics of Gaussian-Stein Variational Gradient Descent
    2023/05/23 by Tianle Liu, Promit Ghosal, Liu, Tianle +5 · 1 citation
    Mathematics · #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Statistical Methods and Bayesian Inference #Statistics Theory (math.ST) #Survey Sampling and Estimation Techniques
11. From Stability to Chaos: Analyzing Gradient Descent Dynamics in Quadratic Regression
    2023/10/02 by Xuxing Chen, Krishnakumar Balasubramanian, Chen, Xuxing +5 · 1 citation
    Materials Science · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning in Materials Science #Model Reduction and Neural Networks #Optimization and Control (math.OC) #Probability (math.PR)
12. Hybrid Top-Down Global Causal Discovery with Local Search for Linear and Nonlinear Additive Noise Models
    2024/05/23 by Sujai Hiremath, Hiremath, Sujai, Jacqueline R. M. A. Maasch +7 · 1 citation
    Computer Science · #AI-based Problem Solving and Planning #Bayesian Modeling and Causal Inference #FOS: Computer and information sciences #Machine Learning (cs.LG)