Konarovskyi, Vitalii
- Dean-Kawasaki Dynamics: Ill-posedness vs. Triviality
2018/06/13 by Lehmann, Tobias, Konarovskyi, Vitalii, von Renesse, Max-K. · 3 citations
#FOS: Mathematics #Probability (math.PR)
- Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent
2023/02/14 by Gess, Benjamin, Kassing, Sebastian, Konarovskyi, Vitalii · 4 citations
#46G05 #60G57 #60H15 #68T07 #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Primary 60J05 #Probability (math.PR) #Secondary 60G46
- Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line
2017/09/08 by Konarovskyi, Vitalii, von Renesse, Max · 2 citations
#60H15 #60J60 #82C22 #FOS: Mathematics #Primary 60J46 #Probability (math.PR) #Secondary 47D07
- Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent
2022/07/12 by Gess, Benjamin, Gvalani, Rishabh S., Konarovskyi, Vitalii · 2 citations
#60F05 #60G46 #60G57 #60H15 #68T07 #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR)
- Spectral gap estimates for Brownian motion on domains with\n sticky-reflecting boundary diffusion
2021/05/31 by Vitalii Konarovskyi, Victor Marx, Konarovskyi, Vitalii +3 · 1 citation
Computer Science · Mathematics · #34K08 #35A23 #47D07 #53B25 #60J60 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Primary 26D10 #Probability (math.PR) #Secondary 46E35
- Ill-posedness of the pure-noise Dean-Kawasaki equation
2025/01/16 by Schiavo, Lorenzo Dello, Konarovskyi, Vitalii · 1 citation
#60G57 #60H15 #82C31 #FOS: Mathematics #Probability (math.PR)