Edit Profile (opens in new tab) Tong, Xin Thomson Co-Author Distance Author ID: tong.xin-thomson Published as: Tong, Xin T.; Tong, X. T.; Tong, Xin Thomson more...less Homepage: http://math.nyu.edu/~tong/ External Links: MGP · ORCID Documents Indexed: 40 Publications since 2012, including 6 Additional arXiv Preprints Co-Authors: 25 Co-Authors with 39 Joint Publications 1,424 Co-Co-Authors all top 5 Co-Authors 1 single-authored 13 Majda, Andrew J. 5 Chada, Neil K. 4 Chen, Nan 4 Dong, Jing 4 Morzfeld, Matthias 3 Chen, Xi 3 Choi, Kwok Pui 3 Cui, Tiangang 3 Lai, Tze Leung 3 Weissmann, Simon 3 Wong, Wengkee 2 Liu, Qiang 2 Marzouk, Youssef M. 2 Schillings, Claudia 2 van Handel, Ramon 1 de Wiljes, Jana 1 Du, Simon S. 1 Jasra, Ajay 1 Kam, Enzio Hai Hong 1 Lee, Jason D. 1 Liu, Shuigen 1 Reich, Sebastian 1 Stuart, Andrew M. 1 Zahm, Olivier 1 Zhang, Yichen all top 5 Serials 5 Nonlinearity 3 Inverse Problems 3 Journal of Nonlinear Science 3 Communications in Mathematical Sciences 2 Communications on Pure and Applied Mathematics 2 Journal of Machine Learning Research (JMLR) 2 Research in the Mathematical Sciences 1 Journal of Computational Physics 1 Mathematics of Computation 1 The Annals of Probability 1 The Annals of Statistics 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 The Annals of Applied Probability 1 Stochastic Processes and their Applications 1 SIAM Journal on Scientific Computing 1 Statistica Sinica 1 Bernoulli 1 Electronic Journal of Statistics 1 Statistics and Computing 1 SIAM/ASA Journal on Uncertainty Quantification all top 5 Fields 17 Statistics (62-XX) 16 Probability theory and stochastic processes (60-XX) 15 Numerical analysis (65-XX) 11 Systems theory; control (93-XX) 7 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Partial differential equations (35-XX) 5 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 305 times in 170 Documents Cited by ▼ Year ▼ Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060 Tong, Xin T.; Majda, Andrew J.; Kelly, David 42 2016 Tikhonov regularization within ensemble Kalman inversion. Zbl 1447.35337 Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T. 28 2020 Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation. Zbl 1370.37009 Tong, Xin T.; Majda, Andrew J.; Kelly, David 27 2016 Information barriers for noisy Lagrangian tracers in filtering random incompressible flows. Zbl 1320.60102 Chen, Nan; Majda, Andrew J.; Tong, Xin T. 21 2014 Statistical inference for model parameters in stochastic gradient descent. Zbl 1440.62287 Chen, Xi; Lee, Jason D.; Tong, Xin T.; Zhang, Yichen 19 2020 Noisy Lagrangian tracers for filtering random rotating compressible flows. Zbl 1329.76128 Chen, Nan; Majda, Andrew J.; Tong, Xin T. 16 2015 Performance of ensemble Kalman filters in large dimensions. Zbl 1390.93799 Majda, Andrew J.; Tong, Xin T. 14 2018 Intermittency in turbulent diffusion models with a mean gradient. Zbl 1357.37089 Majda, Andrew J.; Tong, Xin T. 12 2015 Convergence acceleration of ensemble Kalman inversion in nonlinear settings. Zbl 1486.49049 Chada, Neil K.; Tong, Xin T. 11 2022 Ergodicity of truncated stochastic Navier Stokes with deterministic forcing and dispersion. Zbl 1349.76099 Majda, Andrew J.; Tong, Xin T. 10 2016 Performance analysis of local ensemble Kalman filter. Zbl 1394.60038 Tong, Xin T. 10 2018 Conditional ergodicity in infinite dimension. Zbl 1351.37032 Tong, Xin Thomson; van Handel, Ramon 10 2014 MALA-within-Gibbs samplers for high-dimensional distributions with sparse conditional structure. Zbl 1444.62073 Tong, X. T.; Morzfeld, M.; Marzouk, Y. M. 10 2020 Localization for MCMC: sampling high-dimensional posterior distributions with local structure. Zbl 1451.65011 Morzfeld, M.; Tong, X. T.; Marzouk, Y. M. 10 2019 Rigorous analysis for efficient statistically accurate algorithms for solving Fokker-Planck equations in large dimensions. Zbl 1410.35244 Chen, Nan; Majda, Andrew J.; Tong, Xin T. 8 2018 Geometric ergodicity for piecewise contracting processes with applications for tropical stochastic lattice models. Zbl 1346.86005 Majda, Andrew J.; Tong, Xin T. 7 2016 Adaptive Tikhonov strategies for stochastic ensemble Kalman inversion. Zbl 1485.65069 Weissmann, Simon; Chada, Neil K.; Schillings, Claudia; Tong, Xin T. 6 2022 Spatial localization for nonlinear dynamical stochastic models for excitable media. Zbl 1480.65026 Chen, Nan; Majda, Andrew J.; Tong, Xin T. 6 2019 On stationary-point hitting time and ergodicity of stochastic gradient Langevin dynamics. Zbl 1502.60125 Chen, Xi; Du, Simon S.; Tong, Xin T. 6 2020 Analysis of a localised nonlinear ensemble Kalman Bucy filter with complete and accurate observations. Zbl 1458.62212 de Wiljes, Jana; Tong, Xin T. 6 2020 Moment bounds and geometric ergodicity of diffusions with random switching and unbounded transition rates. Zbl 1386.60277 Tong, Xin T.; Majda, Andrew J. 5 2016 Ergodicity and stability of the conditional distributions of nondegenerate Markov chains. Zbl 1252.60069 Tong, Xin Thomson; Van Handel, Ramon 5 2012 Consistency analysis of bilevel data-driven learning in inverse problems. Zbl 1483.35338 Chada, Neil K.; Schillings, Claudia; Tong, Xin T.; Weissmann, Simon 3 2022 Replica exchange for non-convex optimization. Zbl 07415116 Dong, Jing; Tong, Xin T. 3 2021 A unified performance analysis of likelihood-informed subspace methods. Zbl 1501.65002 Cui, Tiangang; Tong, Xin T. 3 2022 Localized ensemble Kalman inversion. Zbl 07682039 Tong, X. T.; Morzfeld, M. 3 2023 Simple nonlinear models with rigorous extreme events and heavy tails. Zbl 1411.60078 Majda, Andrew J.; Tong, Xin T. 2 2019 Accelerating Metropolis-within-Gibbs sampler with localized computations of differential equations. Zbl 1447.62135 Liu, Qiang; Tong, Xin T. 2 2020 Localized ensemble Kalman inversion. Zbl 07682039 Tong, X. T.; Morzfeld, M. 3 2023 Convergence acceleration of ensemble Kalman inversion in nonlinear settings. Zbl 1486.49049 Chada, Neil K.; Tong, Xin T. 11 2022 Adaptive Tikhonov strategies for stochastic ensemble Kalman inversion. Zbl 1485.65069 Weissmann, Simon; Chada, Neil K.; Schillings, Claudia; Tong, Xin T. 6 2022 Consistency analysis of bilevel data-driven learning in inverse problems. Zbl 1483.35338 Chada, Neil K.; Schillings, Claudia; Tong, Xin T.; Weissmann, Simon 3 2022 A unified performance analysis of likelihood-informed subspace methods. Zbl 1501.65002 Cui, Tiangang; Tong, Xin T. 3 2022 Replica exchange for non-convex optimization. Zbl 07415116 Dong, Jing; Tong, Xin T. 3 2021 Tikhonov regularization within ensemble Kalman inversion. Zbl 1447.35337 Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T. 28 2020 Statistical inference for model parameters in stochastic gradient descent. Zbl 1440.62287 Chen, Xi; Lee, Jason D.; Tong, Xin T.; Zhang, Yichen 19 2020 MALA-within-Gibbs samplers for high-dimensional distributions with sparse conditional structure. Zbl 1444.62073 Tong, X. T.; Morzfeld, M.; Marzouk, Y. M. 10 2020 On stationary-point hitting time and ergodicity of stochastic gradient Langevin dynamics. Zbl 1502.60125 Chen, Xi; Du, Simon S.; Tong, Xin T. 6 2020 Analysis of a localised nonlinear ensemble Kalman Bucy filter with complete and accurate observations. Zbl 1458.62212 de Wiljes, Jana; Tong, Xin T. 6 2020 Accelerating Metropolis-within-Gibbs sampler with localized computations of differential equations. Zbl 1447.62135 Liu, Qiang; Tong, Xin T. 2 2020 Localization for MCMC: sampling high-dimensional posterior distributions with local structure. Zbl 1451.65011 Morzfeld, M.; Tong, X. T.; Marzouk, Y. M. 10 2019 Spatial localization for nonlinear dynamical stochastic models for excitable media. Zbl 1480.65026 Chen, Nan; Majda, Andrew J.; Tong, Xin T. 6 2019 Simple nonlinear models with rigorous extreme events and heavy tails. Zbl 1411.60078 Majda, Andrew J.; Tong, Xin T. 2 2019 Performance of ensemble Kalman filters in large dimensions. Zbl 1390.93799 Majda, Andrew J.; Tong, Xin T. 14 2018 Performance analysis of local ensemble Kalman filter. Zbl 1394.60038 Tong, Xin T. 10 2018 Rigorous analysis for efficient statistically accurate algorithms for solving Fokker-Planck equations in large dimensions. Zbl 1410.35244 Chen, Nan; Majda, Andrew J.; Tong, Xin T. 8 2018 Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060 Tong, Xin T.; Majda, Andrew J.; Kelly, David 42 2016 Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation. Zbl 1370.37009 Tong, Xin T.; Majda, Andrew J.; Kelly, David 27 2016 Ergodicity of truncated stochastic Navier Stokes with deterministic forcing and dispersion. Zbl 1349.76099 Majda, Andrew J.; Tong, Xin T. 10 2016 Geometric ergodicity for piecewise contracting processes with applications for tropical stochastic lattice models. Zbl 1346.86005 Majda, Andrew J.; Tong, Xin T. 7 2016 Moment bounds and geometric ergodicity of diffusions with random switching and unbounded transition rates. Zbl 1386.60277 Tong, Xin T.; Majda, Andrew J. 5 2016 Noisy Lagrangian tracers for filtering random rotating compressible flows. Zbl 1329.76128 Chen, Nan; Majda, Andrew J.; Tong, Xin T. 16 2015 Intermittency in turbulent diffusion models with a mean gradient. Zbl 1357.37089 Majda, Andrew J.; Tong, Xin T. 12 2015 Information barriers for noisy Lagrangian tracers in filtering random incompressible flows. Zbl 1320.60102 Chen, Nan; Majda, Andrew J.; Tong, Xin T. 21 2014 Conditional ergodicity in infinite dimension. Zbl 1351.37032 Tong, Xin Thomson; van Handel, Ramon 10 2014 Ergodicity and stability of the conditional distributions of nondegenerate Markov chains. Zbl 1252.60069 Tong, Xin Thomson; Van Handel, Ramon 5 2012 all cited Publications top 5 cited Publications all top 5 Cited by 282 Authors 24 Majda, Andrew J. 22 Tong, Xin Thomson 12 Chen, Nan 10 Del Moral, Pierre 9 Qi, Di 8 Stuart, Andrew M. 7 Chada, Neil K. 7 Schillings, Claudia 6 Reich, Sebastian 5 Bishop, Adrian N. 4 Biswas, Animikh 4 Cui, Tiangang 4 Herty, Michael Matthias 4 Shao, Jinghai 4 Wacker, Philipp 4 Weissmann, Simon 3 Bao, Feng 3 Blömker, Dirk 3 Branicki, Michał 3 Chen, Xi 3 Jolly, Michael Summerfield 3 Marzouk, Youssef M. 3 Morzfeld, Matthias 3 Pathiraja, Sahani D. 3 Sanz-Alonso, Daniel 3 Scheichl, Robert 3 Stannat, Wilhelm 3 Tugaut, Julian 3 Visconti, Giuseppe 2 Archibald, Richard 2 Chen, Peng 2 Chen, Yuming 2 de Wiljes, Jana 2 Ding, Zhiyan 2 Dolgov, Sergey V. 2 Dong, Jing 2 Fu, Shubin 2 Gallo, Sandro 2 Huang, Daniel Zhengyu 2 Iacomini, Elisa 2 Jasra, Ajay 2 Kungurtsev, Vyacheslav 2 Kurtzmann, Aline 2 Law, Kody J. H. 2 Lee, Yoonsang 2 Lember, Jüri 2 Li, Qin 2 Li, Yao 2 Liu, Qiang 2 Mohamad, Mustafa A. 2 Schneider, Tapio 2 Sova, Joonas 2 Stechmann, Samuel N. 2 Tang, Wenpin 2 van Handel, Ramon 2 Xu, Lihu 2 Zhang, Yichen 2 Zhou, Xunyu 2 Zhu, Wanrong 1 Adams, Jesse 1 Adams, Matthew Philip 1 Aicher, Christopher 1 Al Kontar, Raed 1 al Mamun, Abdullah 1 Ali, Alsadig 1 Arapostathis, Aristotle 1 Armbruster, Dieter 1 Avelin, Benny 1 Bach, Francis R. 1 Balakrishna, Abhishek 1 Bao, Jianhai 1 Bennett, Frederick R. 1 Bergou, El Houcine 1 Biswas, Anup 1 Bonnabel, Silvère 1 Botha, Imke 1 Bungert, Leon 1 Byon, Eunshin 1 Cao, Yanzhao 1 Cao, Yu 1 Chai, Shimin 1 Chekroun, Mickaël D. 1 Chen, Gui-Qiang G. 1 Chen, Haoyu 1 Cheng, Guang 1 Chernov, Alexey 1 Choi, Kwok Pui 1 Cobb, Adam D. 1 Coghi, Michele 1 Cousins, Will 1 Crisan, Dan O. 1 Dana, Syamal Kumar 1 Deng, Quanling 1 Detommaso, Gianluca 1 Dieuleveut, Aymeric 1 Dijkstra, Henk A. 1 Diouane, Youssef 1 Dobson, Matthew 1 Drovandi, Christopher C. 1 Duchi, John C. ...and 182 more Authors all top 5 Cited in 68 Serials 14 Journal of Computational Physics 13 Inverse Problems 8 SIAM/ASA Journal on Uncertainty Quantification 7 Stochastic Processes and their Applications 6 Nonlinearity 6 SIAM Journal on Control and Optimization 6 The Annals of Applied Probability 6 Journal of Machine Learning Research (JMLR) 6 SIAM Journal on Applied Dynamical Systems 5 SIAM Journal on Numerical Analysis 5 Journal of Nonlinear Science 5 Foundations of Data Science 4 Journal of the American Statistical Association 4 Physica D 4 SIAM Journal on Scientific Computing 4 Research in the Mathematical Sciences 3 The Annals of Statistics 3 Chinese Annals of Mathematics. Series B 3 Chaos 2 Advances in Applied Probability 2 Journal of Statistical Physics 2 Applied Mathematics and Optimization 2 Numerische Mathematik 2 Electronic Journal of Probability 2 Multiscale Modeling & Simulation 2 Inverse Problems in Science and Engineering 2 Statistics and Computing 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Physics Reports 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Econometrics 1 Journal of Multivariate Analysis 1 Mathematics of Operations Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Statistics & Probability Letters 1 Statistics 1 Constructive Approximation 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Machine Learning 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Computational and Applied Mathematics 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Real World Applications 1 Stochastics and Dynamics 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Oberwolfach Reports 1 Communications in Computational Physics 1 Nonlinear Analysis. Hybrid Systems 1 Electronic Journal of Statistics 1 The Annals of Applied Statistics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Computational and Graphical Statistics 1 Numerical Algebra, Control and Optimization 1 Communications in Applied and Industrial Mathematics 1 Mathematics of Climate and Weather Forecasting 1 Discrete Analysis 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 26 Fields 78 Statistics (62-XX) 70 Numerical analysis (65-XX) 66 Probability theory and stochastic processes (60-XX) 46 Systems theory; control (93-XX) 33 Partial differential equations (35-XX) 23 Dynamical systems and ergodic theory (37-XX) 22 Fluid mechanics (76-XX) 20 Computer science (68-XX) 14 Geophysics (86-XX) 13 Operations research, mathematical programming (90-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Ordinary differential equations (34-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Information and communication theory, circuits (94-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year