- A systematic path to non-Markovian dynamics II: Probabilistic response of nonlinear multidimensional systems to Gaussian colored noise excitation
2024/05/16 by Athanassoulis, Gerassimos A., Nikoletatos-Kekatos, Nikolaos P., Mamis, Konstantinos · 1 citation
#34F05 #60G65 #70L05 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Adaptive deep density approximation for stochastic dynamical systems
2024/05/05 by He, Junjie, Liao, Qifeng, Wan, Xiaoliang · 2 citations
#34F05 #60H35 #62M45 #65C30 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Numerical Analysis (math.NA)
- On the study of slow-fast dynamics, when the fast process has multiple invariant measures
2023/05/08 by Benjamin D. Goddard, Goddard, B. D., Michela Ottobre +5 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #34C29 #34D05 #34E10 #34F05 #37H10 #60K35 #Complex Network Analysis Techniques #FOS: Mathematics #Gene Regulatory Network Analysis #Probability (math.PR) #Stochastic processes and statistical mechanics
- L-HYDRA: Multi-Head Physics-Informed Neural Networks
2023/01/05 by Zongren Zou, Zou, Zongren, George Em Karniadakis +1 · 2 citations
Computer Science · Materials Science · Physics and Astronomy · #34F05 #62M45 #65L99 #65M99 #65N99 #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Physical sciences #Generative Adversarial Networks and Image Synthesis #Machine Learning (cs.LG) #Machine Learning in Materials Science #Model Reduction and Neural Networks
- Signature Methods in Machine Learning
2022/06/29 by Terry Lyons, Lyons, Terry, Andrew McLeod +1 · 9 citations
Computer Science · #34F05 #60L10 #68Q32 #93C15 #Classical Analysis and ODEs (math.CA) #Data Stream Mining Techniques #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Methodology (stat.ME) #Neural Networks and Applications #Numerical Analysis (math.NA) #Statistics Theory (math.ST) #Time Series Analysis and Forecasting
- On path-dependent multidimensional forward-backward SDEs
2022/01/11 by Hu, Kaitong, Ren, Zhenjie, Touzi, Nizar · 1 citation
#34F05 #35R60 #60H07 #60H30 #FOS: Mathematics #Probability (math.PR)
- Quasi-stationary distributions of multi-dimensional diffusion processes
2021/02/11 by Alexandru Hening, Hening, Alexandru, Weiwei Qi +5 · 1 citation
Mathematics · Medicine · #34F05 #60H10 #60J60 #60J70 #92D25 #Analysis of PDEs (math.AP) #FOS: Biological sciences #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #Populations and Evolution (q-bio.PE) #Probability (math.PR) #Spectral Theory (math.SP)
- What should patients do if they miss a dose of medication? A theoretical approach
2021/02/09 by Elijah D Counterman, Counterman, Elijah D, Sean D. Lawley +1 · 1 citation
Mathematics · Medicine · #34F05 #60J05 #92C50 #FOS: Biological sciences #FOS: Mathematics #Medication Adherence and Compliance #Pharmaceutical studies and practices #Probability (math.PR) #Quantitative Methods (q-bio.QM) #Statistical Methods in Clinical Trials
- On the mean field limit of the Random Batch Method for interacting particle systems
2020/05/24 by Shi Jin, Lei Li, Jin, Shi +1 · 2 citations
Mathematics · Physics and Astronomy · #34F05 #35K55 #65C20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR) #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- The Numerical Invariant Measure of Stochastic Differential Equations With Markovian Switching
2018/04/06 by Xiaoyue Li, Qianlin Ma, Li, Xiaoyue +5 · 5 citations
Economics, Econometrics and Finance · Mathematics · Social Sciences · #34F05 #60H10 #FOS: Mathematics #Insurance, Mortality, Demography, Risk Management #Markov Chains and Monte Carlo Methods #Numerical Analysis (math.NA) #Probability (math.PR) #Stochastic processes and financial applications
- General Nonlinear Stochastic Systems Motivated by Chemostat Models: Complete Characterization of Long-Time Behavior, Optimal Controls, and Applications to Wastewater Treatment
2017/10/22 by Nguyen, Dang H., Nguyen, Nhu, Yin, George · 1 citation
#34F05 #60H10 #60H30 #FOS: Mathematics #Probability (math.PR)
- Extracting Sparse High-Dimensional Dynamics from Limited Data
2017/07/26 by Schaeffer, Hayden, Tran, Giang, Ward, Rachel · 2 citations
#34F05 #37H99 #37N30 #65L09 #65L99 #65P99 #FOS: Mathematics #Optimization and Control (math.OC)
- Concentration and limit behaviors of stationary measures
2016/07/21 by Huang, Wen, Ji, Min, Liu, Zhenxin +1 · 2 citations
#34F05 #35Q84 #37C40 #37C75 #60H10 (Primary) #60J60 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)
- Rough differential equations with unbounded drift term
2016/05/18 by Riedel, Sebastian, Scheutzow, Michael · 2 citations
#34A34 #34F05 #60G15 #60H10 #FOS: Mathematics #Probability (math.PR)
- Systematic Measures of Biological Networks, Part I: Invariant measures and Entropy
2016/01/05 by Li, Yao, Yi, Yingfei · 1 citation
#34F05 #37H10 #60H10 #92B05 #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)
- Davie's type uniqueness for a class of SDEs with jumps
2015/09/24 by Priola, Enrico · 1 citation
#34F05 #60H10 #60J75 #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)
- Rough paths, Signatures and the modelling of functions on streams
2014/05/18 by Terry Lyons, Lyons, Terry · 12 citations
Computer Science · Decision Sciences · Physics and Astronomy · #34F05 #60H10 #60H15 #68Q32 #93C15 #Classical Analysis and ODEs (math.CA) #FOS: Economics and business #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Finance (q-fin.MF) #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design #Probability (math.PR) #Rings and Algebras (math.RA) #Statistics Theory (math.ST)
- Definition and Self-Adjointness of the Stochastic Airy Operator
2014/01/04 by Minami, Nariyuki · 1 citation
#34F05 #34L05 #60H25 #82B44 #FOS: Mathematics #Probability (math.PR)
- Weak existence of a solution to a differential equation driven by a very rough fBm
2013/09/14 by Khoshnevisan, Davar, Swanson, Jason, Xiao, Yimin +1 · 6 citations
#34F05 #60G22 #60H10 #FOS: Mathematics #Probability (math.PR)
- Pathwise uniqueness for singular SDEs driven by stable processes
2010/05/23 by Priola, Enrico · 1 citation
#34F05 #35B65 #60H10 #60J75 #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)
- Existence of weak solutions to stochastic evolution inclusions
2004/07/29 by Adam Jakubowski, Mikhail Kamenskii, Jakubowski, Adam +3 · 1 citation
Mathematics · #34A60 #34F05 #47H09 #60H10 #FOS: Mathematics #MSC: 60H20 #Probability (math.PR) #math.PR #msc:34A60 #msc:34F05 #msc:47H09 #msc:60H10 #msc:60H20