## Xin, Jack X.

Compute Distance To:
 Author ID: xin.jack-x Published as: Xin, Jack; Xin, Jack X.; Xin, J. X.; Xin, J. more...less
 Documents Indexed: 130 Publications since 1992, including 2 Books 1 Contribution as Editor Co-Authors: 76 Co-Authors with 106 Joint Publications 2,220 Co-Co-Authors
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### Co-Authors

 14 single-authored 15 Yu, Yifeng 14 Qi, Yingyong 13 Yin, Penghang 11 Nolen, James 8 Lou, Yifei 8 Osher, Stanley Joel 7 Zhang, Zhiwen 6 Wang, Zhongjian 5 Liu, Yuyu 5 Lyu, Jiancheng 5 Sun, Yuanchang 5 Zhang, Shuai 4 Esser, Ernie 4 He, Qi 4 Wehr, Jan 3 Lin, Fang Hua 3 Liu, Jie 3 Zhou, Aihui 3 Zhu, Jingyi 2 Berlyand, Leonid V. 2 Chadam, John M. 2 Cherkaev, Elena 2 Eyink, Gregory L. 2 Golden, Kenneth M. 2 Ho, Michael 2 Long, Ziang 2 Lyu, Junlong 2 Murphy, N. Benjamin 2 Ortoleva, Peter J. 2 Pang, Jong-Shi 2 Peirce, Anthony P. 2 Shen, Lihua 2 Yu, Meng 2 Zlatoš, Andrej 1 Ahn, Miju 1 Bao, Weizhu 1 Bertozzi, Andrea Louise 1 Brantingham, P. Jeffrey 1 Bricmont, Jean 1 Bui, Kevin V. 1 Chen, Long 1 Collet, Pierre 1 Dai, Xiaoying 1 del Rio, Fernando 1 Deng, Li 1 Dinh, Thu 1 Dong, Xuanchun 1 E, Weinan 1 Fennemore, George 1 Finlayson-Pitts, Barbara J. 1 Gu, Haotian 1 Hyman, James M. 1 Kao, Chou 1 Kim, Yongsam 1 Kuang, Xiong 1 Kupiainen, Antti 1 Lamar, Michael Drew 1 Levermore, C. David 1 Liu, Yufeng 1 Long, Xiaolong 1 Luce, Benjamin P. 1 Ma, Wenye 1 Malham, Simon J. A. 1 McMillen, Tyler 1 Mercado, Gema A. 1 Merriman, Barry 1 Möller, Michael 1 Murray, Regan 1 Park, Fredrick 1 Postel, Marie 1 Povich, T. J. 1 Ridge, C. 1 Rudd, Matthew B. 1 Ruuth, Steven J. 1 Sapiro, Guillermo 1 Shaka, A. J. 1 Sølna, Knut 1 Sun, Zheng 1 Wang, Bao 1 Weinstein, Michael I. 1 Wingen, Lisa M. 1 Zeng, Tie Yong 1 Zhao, Hongkai 1 Zheng, Fan-Gang 1 Zu, PengHe
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### Serials

 12 Communications in Mathematical Sciences 7 Communications in Mathematical Physics 7 Physica D 7 Journal of Scientific Computing 6 Nonlinearity 6 Multiscale Modeling & Simulation 6 SIAM Journal on Imaging Sciences 4 Archive for Rational Mechanics and Analysis 4 Journal of Statistical Physics 4 Methods and Applications of Analysis 3 SIAM Journal on Numerical Analysis 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Mathematical Programming. Series A. Series B 3 SIAM Journal on Scientific Computing 3 Communications in Information and Systems 2 Journal of Differential Equations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Computational Mathematics 2 Asymptotic Analysis 2 Signal Processing 2 Communications in Partial Differential Equations 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems 2 Inverse Problems and Imaging 2 Mathematical Modelling of Natural Phenomena 2 Research in the Mathematical Sciences 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 SIAM Review 1 SIAM Journal on Optimization 1 Mathematical Research Letters 1 Computational Geosciences 1 IEEE Transactions on Image Processing 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Dynamics of Partial Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Surveys and Tutorials in the Applied Mathematical Sciences 1 RIMS Kôkyûroku Bessatsu 1 Numerical Mathematics: Theory, Methods and Applications 1 SIAM Journal on Financial Mathematics 1 MS&A. Modeling, Simulation and Applications 1 Annals of Mathematical Sciences and Applications
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### Fields

 67 Partial differential equations (35-XX) 49 Numerical analysis (65-XX) 41 Fluid mechanics (76-XX) 26 Information and communication theory, circuits (94-XX) 24 Operations research, mathematical programming (90-XX) 15 Probability theory and stochastic processes (60-XX) 15 Classical thermodynamics, heat transfer (80-XX) 10 Statistics (62-XX) 9 Computer science (68-XX) 9 Mechanics of particles and systems (70-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Biology and other natural sciences (92-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 4 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

98 Publications have been cited 1,301 times in 745 Documents Cited by Year
Front propagation in heterogeneous media. Zbl 0951.35060
Xin, Jack
1998
Minimization of $$\ell_{1-2}$$ for compressed sensing. Zbl 1316.90037
Yin, Penghang; Lou, Yifei; He, Qi; Xin, Jack
2015
Existence of planar flame fronts in convective-diffusive periodic media. Zbl 0764.76074
Xin, Jack X.
1992
Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds. Zbl 1179.35166
Nolen, James; Rudd, Matthew; Xin, Jack
2005
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. I. Zbl 0789.35019
Xin, Jack X.
1992
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. II. Zbl 0789.35020
Levermore, C. D.; Xin, Jack X.
1992
Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media. Zbl 1102.35340
Xin, Jack X.
1993
Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle. Zbl 1097.35072
Nolen, James; Xin, Jack
2005
On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation. Zbl 0920.35145
Lin, F.-H.; Xin, J. X.
1999
A method for finding structured sparse solutions to nonnegative least squares problems with applications. Zbl 1282.90239
Esser, Ernie; Lou, Yifei; Xin, Jack
2013
A weighted difference of anisotropic and isotropic total variation model for image processing. Zbl 1322.94019
Lou, Yifei; Zeng, Tieyong; Osher, Stanley; Xin, Jack
2015
Difference-of-convex learning: directional stationarity, optimality, and sparsity. Zbl 1369.90130
Ahn, Miju; Pang, Jong-Shi; Xin, Jack
2017
Computing sparse representation in a highly coherent dictionary based on difference of $$L_1$$ and $$L_2$$. Zbl 1327.65111
Lou, Yifei; Yin, Penghang; He, Qi; Xin, Jack
2015
An introduction to fronts in random media. Zbl 1188.35003
Xin, Jack
2009
Modeling light bullets with the two-dimensional sine-Gordon equation. Zbl 0936.78006
Xin, J. X.
2000
Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity. Zbl 0862.35050
Bricmont, J.; Kupiainen, A.; Xin, J.
1996
Periodic homogenization of the inviscid G-equation for incompressible flows. Zbl 1372.76085
Xin, Jack; Yu, Yifeng
2010
Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. Zbl 1177.35172
Nolen, James; Xin, Jack
2009
Minimization of transformed $$L_1$$ penalty: theory, difference of convex function algorithm, and robust application in compressed sensing. Zbl 1386.94049
Zhang, Shuai; Xin, Jack
2018
Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033
Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S.
2001
Point source super-resolution via non-convex $$L_1$$ based methods. Zbl 1354.65125
Lou, Yifei; Yin, Penghang; Xin, Jack
2016
Computational aspects of constrained $$L_1$$-$$L_2$$ minimization for compressive sensing. Zbl 1370.90176
Lou, Yifei; Osher, Stanley; Xin, Jack
2015
A variational principle for KPP front speeds in temporally random shear flows. Zbl 1114.35095
Nolen, James; Xin, Jack
2007
Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205
Bao, Weizhu; Dong, Xuanchun; Xin, Jack
2010
Weighted elastic net penalized mean-variance portfolio design and computation. Zbl 1330.91173
Ho, Michael; Sun, Zheng; Xin, Jack
2015
PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms. Zbl 1342.94052
Yin, Penghang; Xin, Jack
2015
Reaction-diffusion front speeds in spactially-temporally periodic shear flows. Zbl 1053.35068
Nolen, Jim; Xin, Jack
2003
A variational principle based study of KPP minimal front speeds in random shears. Zbl 1181.35135
Nolen, James; Xin, Jack
2005
A convex model for nonnegative matrix factorization and dimensionality reduction on physical space. Zbl 1373.15021
Esser, Ernie; Möller, Michael; Osher, Stanley; Sapiro, Guillermo; Xin, Jack
2012
Ratio and difference of $$l_1$$ and $$l_2$$ norms and sparse representation with coherent dictionaries. Zbl 1429.94037
Yin, Penghang; Esser, Ernie; Xin, Jack
2014
On the dynamical law of the Ginzburg-Landau vortices on the plane. Zbl 0935.35036
Lin, F.-H.; Xin, J. X.
1999
Self-similar decay in the Kraichnan model of a passive scalar. Zbl 1008.76028
Eyink, Gregory L.; Xin, Jack
2000
Minimization of transformed $$l_1$$ penalty: closed form representation and iterative thresholding algorithms. Zbl 1386.94048
Zhang, Shuai; Xin, Jack
2017
Global solutions to a reactive Boussinesq system with front data on an infinite domain. Zbl 0908.35104
Malham, Simon; Xin, Jack X.
1998
KPP fronts in a one-dimensional random drift. Zbl 1160.35443
Nolen, James; Xin, Jack
2009
Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media. Zbl 0900.35193
Xin, Jack X.; Zhu, Jingyi
1995
Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. Zbl 1366.35018
Xin, Jack; Yu, Yifeng
2013
Global existence and large time asymptotic bounds of $$L^ \infty$$ solutions of thermal diffusive combustion systems on $$\mathbb{R}^ n$$. Zbl 0882.35058
Collet, P.; Xin, J.
1996
White noise perturbation of the viscous shock fronts of the Burgers equation. Zbl 0858.60059
Wehr, J.; Xin, J.
1996
Bounds on front speeds for inviscid and viscous $$G$$-equations. Zbl 1256.35090
Nolen, James; Xin, Jack; Yu, Yifeng
2009
KPP front speeds in random shears and the parabolic Anderson problem. Zbl 1052.35099
Xin, Jack
2003
Asymptotic growth rates and strong bending of turbulent flame speeds of G-equation in steady two-dimensional incompressible periodic flows. Zbl 1339.76035
Xin, Jack; Yu, Yifeng
2014
A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit. Zbl 1364.76105
Zu, Penghe; Chen, Long; Xin, Jack
2015
Periodic orbits of the ABC flow with $$A=B=C=1$$. Zbl 1366.34062
Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
2016
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2017
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105
Weinstein, M. I.; Xin, J.
1996
Asymptotics for turbulent flame speeds of the viscous $$G$$-equation enhanced by cellular and shear flows. Zbl 1269.76127
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
2011
Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media. Zbl 0819.76097
Xin, Jack X.
1994
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2018
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
2013
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
2014
A two-dimensional nonlinear nonlocal feed-forward cochlear model and time domain computation of multitone interactions. Zbl 1092.35113
Kim, Yongsam; Xin, Jack
2005
Front speed in the Burgers equation with a random flux. Zbl 0920.35141
Wehr, J.; Xin, J.
1997
A unified approach to vortex motion laws of complex scalar field equations. Zbl 0930.35025
Lin, F.-H.; Xin, J. X.
1998
Ballistic orbits and front speed enhancement for ABC flows. Zbl 1418.34080
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
2016
A soft-constrained dynamic iterative method of blind source separation. Zbl 1177.94064
Liu, Jie; Xin, Jack; Qi, Yingyong
2009
A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows. Zbl 1259.35197
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
2013
Large time asymptotic of solutions to a model combustion system with critical nonlinearity. Zbl 0820.35081
Berlyand, L.; Xin, J.
1995
Iterative $${\ell_1}$$ minimization for non-convex compressed sensing. Zbl 1413.90223
Yin, Penghang; Xin, Jack
2017
Periodic homogenization of G-equations and viscosity effects. Zbl 1197.70012
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
2010
Transformed Schatten-1 iterative thresholding algorithms for low rank matrix completion. Zbl 1395.90207
Zhang, Shuai; Yin, Penghang; Xin, Jack
2017
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui
2013
Stability of traveling waves of a solute transport equation. Zbl 0884.35011
Xin, Jack X.
1997
Underdetermined sparse blind source separation of nonnegative and partially overlapped data. Zbl 1234.94017
Sun, Yuanchang; Xin, Jack
2011
Computing reactive front speeds in random flows by variational principle. Zbl 1155.76061
Nolen, James; Xin, Jack
2008
Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. Zbl 1496.65192
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2021
Residual diffusivity in elephant random walk models with stops. Zbl 1409.60073
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2019
Blended coarse gradient descent for full quantization of deep neural networks. Zbl 1422.90066
Yin, Penghang; Zhang, Shuai; Lyu, Jiancheng; Osher, Stanley; Qi, Yingyong; Xin, Jack
2019
Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions. Zbl 0909.35021
Xin, J.; Moloney, J.
1998
A time domain algorithm for blind separation of convolutive sound mixtures and $$L_1$$ constrained minimization of cross correlations. Zbl 1173.94373
Liu, Jie; Xin, Jack; Qi, Yingyong; Zheng, Fan-Gang
2009
Front quenching in the G-equation model induced by straining of cellular flow. Zbl 1305.35144
Xin, Jack; Yu, Yifeng
2014
Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field. Zbl 1007.60066
Eyink, Gregory; Xin, Jack
2002
Existence of a class of symmetric rotating spiral waves on finite disc domains in excitable media. Zbl 0791.35061
Xin, Jack
1993
Convergence analysis of stochastic structure-preserving schemes for computing effective diffusivity in random flows. Zbl 07267945
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2020
Linear feature transform and enhancement of classification on deep neural network. Zbl 1484.68210
Yin, Penghang; Xin, Jack; Qi, Yingyong
2018
Min-max variational principle and front speeds in random shear flows. Zbl 1107.35366
Nolen, James; Xin, Jack
2004
Reactive flows in layered porous media. II: The shape stability of the reaction interface. Zbl 0772.35088
Xin, J.; Peirce, A.; Chadam, J.; Ortoleva, P.
1993
Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows. Zbl 1481.76109
Murphy, N. Benjamin; Cherkaev, Elena; Xin, Jack; Zhu, Jingyi; Golden, Kenneth M.
2017
BinaryRelax: a relaxation approach for training deep neural networks with quantized weights. Zbl 1419.90072
Yin, Penghang; Zhang, Shuai; Lyu, Jiancheng; Osher, Stanley; Qi, Yingyong; Xin, Jack
2018
A semi-Lagrangian computation of front speeds of G-equation in ABC and Kolmogorov flows with estimation via ballistic orbits. Zbl 1482.76064
Kao, Chou; Liu, Yu-Yu; Xin, Jack
2022
A convex model and $$l_1$$ minimization for musical noise reduction in blind source separation. Zbl 1271.65097
Ma, Wenye; Osher, Stanley; Xin, Jack; Yu, Meng
2012
Existence of traveling waves in a biodegradation model for organic contaminants. Zbl 0957.92032
Murray, Regan; Xin, J. X.
1999
A numerical study of fronts in random media using a reactive solute transport model. Zbl 0941.76084
Postel, Marie; Xin, Jack
1997
Breakdown of homogenization for the random Hamilton-Jacobi equations. Zbl 1207.70018
E, Weinan; Wehr, Jan; Xin, Jack
2008
Modelling thermal front dynamics in microwave heating. Zbl 1029.80003
Mercado, Gema A.; Luce, Benjamin P.; Xin, Jack
2002
Signal processing of acoustic signals in the time domain with an active nonlinear nonlocal cochlear model. Zbl 1163.94357
Lamar, M. Drew; Xin, Jack; Qi, Yingyong
2006
Wetting fronts in one-dimensional periodically layered soils. Zbl 0908.35017
Fennemore, George; Xin, Jack X.
1998
Postprocessing and sparse blind source separation of positive and partially overlapped data. Zbl 1217.94065
Sun, Y.; Ridge, C.; del Rio, F.; Shaka, A. J.; Xin, J.
2011
Spectral analysis and computation for homogenization of advection diffusion processes in steady flows. Zbl 1432.86010
Murphy, N. B.; Cherkaev, E.; Zhu, J.; Xin, J.; Golden, K. M.
2020
Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156
Gu, Haotian; Xin, Jack; Zhang, Zhiwen
2021
Global convergence and geometric characterization of slow to fast weight evolution in neural network training for classifying linearly non-separable data. Zbl 1469.90113
Long, Ziang; Yin, Penghang; Xin, Jack
2021
Mathematical modeling and signal processing in speech and hearing sciences. Zbl 1293.94003
Xin, Jack; Qi, Yingyong
2014
A numerical study of the light bullets interaction in the $$(2+1)$$ sine-Gordon equation. Zbl 1136.35456
Povich, T.; Xin, J.
2005
Finite element computations of Kolmogorov-Petrovsky-Piskunov front speeds in random shear flows in cylinders. Zbl 1400.76096
Shen, Lihua; Xin, Jack; Zhou, Aihui
2008
Hybrid deterministic-stochastic gradient Langevin dynamics for Bayesian learning. Zbl 1329.60260
He, Qi; Xin, Jack
2012
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
2000
Sparse Kalman filtering approaches to realized covariance estimation from high frequency financial data. Zbl 1458.62245
Ho, Michael; Xin, Jack
2019
A convergent interacting particle method and computation of KPP front speeds in chaotic flows. Zbl 07538279
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2022
A semi-Lagrangian computation of front speeds of G-equation in ABC and Kolmogorov flows with estimation via ballistic orbits. Zbl 1482.76064
Kao, Chou; Liu, Yu-Yu; Xin, Jack
2022
A convergent interacting particle method and computation of KPP front speeds in chaotic flows. Zbl 07538279
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2022
Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. Zbl 1496.65192
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2021
Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156
Gu, Haotian; Xin, Jack; Zhang, Zhiwen
2021
Global convergence and geometric characterization of slow to fast weight evolution in neural network training for classifying linearly non-separable data. Zbl 1469.90113
Long, Ziang; Yin, Penghang; Xin, Jack
2021
Convergence analysis of stochastic structure-preserving schemes for computing effective diffusivity in random flows. Zbl 07267945
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2020
Spectral analysis and computation for homogenization of advection diffusion processes in steady flows. Zbl 1432.86010
Murphy, N. B.; Cherkaev, E.; Zhu, J.; Xin, J.; Golden, K. M.
2020
Residual diffusivity in elephant random walk models with stops. Zbl 1409.60073
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2019
Blended coarse gradient descent for full quantization of deep neural networks. Zbl 1422.90066
Yin, Penghang; Zhang, Shuai; Lyu, Jiancheng; Osher, Stanley; Qi, Yingyong; Xin, Jack
2019
Sparse Kalman filtering approaches to realized covariance estimation from high frequency financial data. Zbl 1458.62245
Ho, Michael; Xin, Jack
2019
Minimization of transformed $$L_1$$ penalty: theory, difference of convex function algorithm, and robust application in compressed sensing. Zbl 1386.94049
Zhang, Shuai; Xin, Jack
2018
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2018
Linear feature transform and enhancement of classification on deep neural network. Zbl 1484.68210
Yin, Penghang; Xin, Jack; Qi, Yingyong
2018
BinaryRelax: a relaxation approach for training deep neural networks with quantized weights. Zbl 1419.90072
Yin, Penghang; Zhang, Shuai; Lyu, Jiancheng; Osher, Stanley; Qi, Yingyong; Xin, Jack
2018
Difference-of-convex learning: directional stationarity, optimality, and sparsity. Zbl 1369.90130
Ahn, Miju; Pang, Jong-Shi; Xin, Jack
2017
Minimization of transformed $$l_1$$ penalty: closed form representation and iterative thresholding algorithms. Zbl 1386.94048
Zhang, Shuai; Xin, Jack
2017
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2017
Iterative $${\ell_1}$$ minimization for non-convex compressed sensing. Zbl 1413.90223
Yin, Penghang; Xin, Jack
2017
Transformed Schatten-1 iterative thresholding algorithms for low rank matrix completion. Zbl 1395.90207
Zhang, Shuai; Yin, Penghang; Xin, Jack
2017
Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows. Zbl 1481.76109
Murphy, N. Benjamin; Cherkaev, Elena; Xin, Jack; Zhu, Jingyi; Golden, Kenneth M.
2017
Point source super-resolution via non-convex $$L_1$$ based methods. Zbl 1354.65125
Lou, Yifei; Yin, Penghang; Xin, Jack
2016
Periodic orbits of the ABC flow with $$A=B=C=1$$. Zbl 1366.34062
Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
2016
Ballistic orbits and front speed enhancement for ABC flows. Zbl 1418.34080
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
2016
Minimization of $$\ell_{1-2}$$ for compressed sensing. Zbl 1316.90037
Yin, Penghang; Lou, Yifei; He, Qi; Xin, Jack
2015
A weighted difference of anisotropic and isotropic total variation model for image processing. Zbl 1322.94019
Lou, Yifei; Zeng, Tieyong; Osher, Stanley; Xin, Jack
2015
Computing sparse representation in a highly coherent dictionary based on difference of $$L_1$$ and $$L_2$$. Zbl 1327.65111
Lou, Yifei; Yin, Penghang; He, Qi; Xin, Jack
2015
Computational aspects of constrained $$L_1$$-$$L_2$$ minimization for compressive sensing. Zbl 1370.90176
Lou, Yifei; Osher, Stanley; Xin, Jack
2015
Weighted elastic net penalized mean-variance portfolio design and computation. Zbl 1330.91173
Ho, Michael; Sun, Zheng; Xin, Jack
2015
PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms. Zbl 1342.94052
Yin, Penghang; Xin, Jack
2015
A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit. Zbl 1364.76105
Zu, Penghe; Chen, Long; Xin, Jack
2015
Ratio and difference of $$l_1$$ and $$l_2$$ norms and sparse representation with coherent dictionaries. Zbl 1429.94037
Yin, Penghang; Esser, Ernie; Xin, Jack
2014
Asymptotic growth rates and strong bending of turbulent flame speeds of G-equation in steady two-dimensional incompressible periodic flows. Zbl 1339.76035
Xin, Jack; Yu, Yifeng
2014
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
2014
Front quenching in the G-equation model induced by straining of cellular flow. Zbl 1305.35144
Xin, Jack; Yu, Yifeng
2014
Mathematical modeling and signal processing in speech and hearing sciences. Zbl 1293.94003
Xin, Jack; Qi, Yingyong
2014
A method for finding structured sparse solutions to nonnegative least squares problems with applications. Zbl 1282.90239
Esser, Ernie; Lou, Yifei; Xin, Jack
2013
Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. Zbl 1366.35018
Xin, Jack; Yu, Yifeng
2013
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
2013
A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows. Zbl 1259.35197
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
2013
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui
2013
A convex model for nonnegative matrix factorization and dimensionality reduction on physical space. Zbl 1373.15021
Esser, Ernie; Möller, Michael; Osher, Stanley; Sapiro, Guillermo; Xin, Jack
2012
A convex model and $$l_1$$ minimization for musical noise reduction in blind source separation. Zbl 1271.65097
Ma, Wenye; Osher, Stanley; Xin, Jack; Yu, Meng
2012
Hybrid deterministic-stochastic gradient Langevin dynamics for Bayesian learning. Zbl 1329.60260
He, Qi; Xin, Jack
2012
Asymptotics for turbulent flame speeds of the viscous $$G$$-equation enhanced by cellular and shear flows. Zbl 1269.76127
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
2011
Underdetermined sparse blind source separation of nonnegative and partially overlapped data. Zbl 1234.94017
Sun, Yuanchang; Xin, Jack
2011
Postprocessing and sparse blind source separation of positive and partially overlapped data. Zbl 1217.94065
Sun, Y.; Ridge, C.; del Rio, F.; Shaka, A. J.; Xin, J.
2011
Periodic homogenization of the inviscid G-equation for incompressible flows. Zbl 1372.76085
Xin, Jack; Yu, Yifeng
2010
Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205
Bao, Weizhu; Dong, Xuanchun; Xin, Jack
2010
Periodic homogenization of G-equations and viscosity effects. Zbl 1197.70012
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
2010
An introduction to fronts in random media. Zbl 1188.35003
Xin, Jack
2009
Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. Zbl 1177.35172
Nolen, James; Xin, Jack
2009
KPP fronts in a one-dimensional random drift. Zbl 1160.35443
Nolen, James; Xin, Jack
2009
Bounds on front speeds for inviscid and viscous $$G$$-equations. Zbl 1256.35090
Nolen, James; Xin, Jack; Yu, Yifeng
2009
A soft-constrained dynamic iterative method of blind source separation. Zbl 1177.94064
Liu, Jie; Xin, Jack; Qi, Yingyong
2009
A time domain algorithm for blind separation of convolutive sound mixtures and $$L_1$$ constrained minimization of cross correlations. Zbl 1173.94373
Liu, Jie; Xin, Jack; Qi, Yingyong; Zheng, Fan-Gang
2009
Computing reactive front speeds in random flows by variational principle. Zbl 1155.76061
Nolen, James; Xin, Jack
2008
Breakdown of homogenization for the random Hamilton-Jacobi equations. Zbl 1207.70018
E, Weinan; Wehr, Jan; Xin, Jack
2008
Finite element computations of Kolmogorov-Petrovsky-Piskunov front speeds in random shear flows in cylinders. Zbl 1400.76096
Shen, Lihua; Xin, Jack; Zhou, Aihui
2008
A variational principle for KPP front speeds in temporally random shear flows. Zbl 1114.35095
Nolen, James; Xin, Jack
2007
Signal processing of acoustic signals in the time domain with an active nonlinear nonlocal cochlear model. Zbl 1163.94357
Lamar, M. Drew; Xin, Jack; Qi, Yingyong
2006
Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds. Zbl 1179.35166
Nolen, James; Rudd, Matthew; Xin, Jack
2005
Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle. Zbl 1097.35072
Nolen, James; Xin, Jack
2005
A variational principle based study of KPP minimal front speeds in random shears. Zbl 1181.35135
Nolen, James; Xin, Jack
2005
A two-dimensional nonlinear nonlocal feed-forward cochlear model and time domain computation of multitone interactions. Zbl 1092.35113
Kim, Yongsam; Xin, Jack
2005
A numerical study of the light bullets interaction in the $$(2+1)$$ sine-Gordon equation. Zbl 1136.35456
Povich, T.; Xin, J.
2005
Min-max variational principle and front speeds in random shear flows. Zbl 1107.35366
Nolen, James; Xin, Jack
2004
Reaction-diffusion front speeds in spactially-temporally periodic shear flows. Zbl 1053.35068
Nolen, Jim; Xin, Jack
2003
KPP front speeds in random shears and the parabolic Anderson problem. Zbl 1052.35099
Xin, Jack
2003
Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field. Zbl 1007.60066
Eyink, Gregory; Xin, Jack
2002
Modelling thermal front dynamics in microwave heating. Zbl 1029.80003
Mercado, Gema A.; Luce, Benjamin P.; Xin, Jack
2002
Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033
Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S.
2001
Modeling light bullets with the two-dimensional sine-Gordon equation. Zbl 0936.78006
Xin, J. X.
2000
Self-similar decay in the Kraichnan model of a passive scalar. Zbl 1008.76028
Eyink, Gregory L.; Xin, Jack
2000
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
2000
On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation. Zbl 0920.35145
Lin, F.-H.; Xin, J. X.
1999
On the dynamical law of the Ginzburg-Landau vortices on the plane. Zbl 0935.35036
Lin, F.-H.; Xin, J. X.
1999
Existence of traveling waves in a biodegradation model for organic contaminants. Zbl 0957.92032
Murray, Regan; Xin, J. X.
1999
Front propagation in heterogeneous media. Zbl 0951.35060
Xin, Jack
1998
Global solutions to a reactive Boussinesq system with front data on an infinite domain. Zbl 0908.35104
Malham, Simon; Xin, Jack X.
1998
A unified approach to vortex motion laws of complex scalar field equations. Zbl 0930.35025
Lin, F.-H.; Xin, J. X.
1998
Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions. Zbl 0909.35021
Xin, J.; Moloney, J.
1998
Wetting fronts in one-dimensional periodically layered soils. Zbl 0908.35017
Fennemore, George; Xin, Jack X.
1998
Front speed in the Burgers equation with a random flux. Zbl 0920.35141
Wehr, J.; Xin, J.
1997
Stability of traveling waves of a solute transport equation. Zbl 0884.35011
Xin, Jack X.
1997
A numerical study of fronts in random media using a reactive solute transport model. Zbl 0941.76084
Postel, Marie; Xin, Jack
1997
Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity. Zbl 0862.35050
Bricmont, J.; Kupiainen, A.; Xin, J.
1996
Global existence and large time asymptotic bounds of $$L^ \infty$$ solutions of thermal diffusive combustion systems on $$\mathbb{R}^ n$$. Zbl 0882.35058
Collet, P.; Xin, J.
1996
White noise perturbation of the viscous shock fronts of the Burgers equation. Zbl 0858.60059
Wehr, J.; Xin, J.
1996
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105
Weinstein, M. I.; Xin, J.
1996
Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media. Zbl 0900.35193
Xin, Jack X.; Zhu, Jingyi
1995
Large time asymptotic of solutions to a model combustion system with critical nonlinearity. Zbl 0820.35081
Berlyand, L.; Xin, J.
1995
Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media. Zbl 0819.76097
Xin, Jack X.
1994
Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media. Zbl 1102.35340
Xin, Jack X.
1993
Existence of a class of symmetric rotating spiral waves on finite disc domains in excitable media. Zbl 0791.35061
Xin, Jack
1993
Reactive flows in layered porous media. II: The shape stability of the reaction interface. Zbl 0772.35088
Xin, J.; Peirce, A.; Chadam, J.; Ortoleva, P.
1993
Existence of planar flame fronts in convective-diffusive periodic media. Zbl 0764.76074
Xin, Jack X.
1992
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. I. Zbl 0789.35019
Xin, Jack X.
1992
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. II. Zbl 0789.35020
Levermore, C. D.; Xin, Jack X.
1992
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### Cited by 1,008 Authors

 43 Xin, Jack X. 35 Shen, Wenxian 29 Hamel, François 17 Lou, Yifei 15 Berestycki, Henri 15 Li, Wan-Tong 15 Nadin, Grégoire 13 Zeng, Tie Yong 13 Zlatoš, Andrej 11 Liang, Xing 11 Salako, Rachidi Bolaji 10 Ryzhik, Lenya 9 Zhang, Zhiwen 8 Pong, Ting Kei 7 Alfaro, Matthieu 7 Bao, Weizhu 7 Pang, Jong-Shi 7 Qi, Yuanwei 7 Yin, Penghang 7 Yu, Yifeng 6 Bao, Xiongxiong 6 Bu, Zhenhui 6 Henderson, Christopher 6 Le Thi, Hoai An 6 Lv, Guangying 6 Matano, Hiroshi 6 Osting, Braxton 6 Roques, Lionel J. 6 Rossi, Luca 6 Souganidis, Panagiotis E. 6 Spirn, Daniel P. 6 Wang, Zhi Cheng 6 Wang, Zhongjian 6 Wu, Shiliang 5 Chen, Wengu 5 Chen, Xinfu 5 Ding, Weiwei 5 Giletti, Thomas 5 Holzer, Matt 5 Kiselev, Alexander A. 5 Lu, Zhaosong 5 Shen, Zhongwei 5 Sheng, WeiJie 5 Yuan, Rong 5 Zhao, Xiao-Qiang 4 Ahn, Miju 4 Du, Lijun 4 Ducrot, Arnaud 4 Eyink, Gregory L. 4 Ge, HuanMin 4 Griette, Quentin 4 Guo, Jong-Shenq 4 Hsu, Cheng-Hsiung 4 Hupkes, Hermen Jan 4 Jerrard, Robert Leon 4 Kurzke, Matthias W. 4 Lam, King-Yeung 4 Lin, Chikun 4 Lin, Fang Hua 4 Lin, Guo 4 Lin, Taichia 4 Liu, NaiWei 4 Liu, Tianxiang 4 Lutscher, Frithjof 4 Ni, Guoxi 4 Ou, Chunhua 4 Pham Dinh Tao 4 Ruan, Shigui 4 Tran Vinh Hung 4 Wang, Mingxin 4 Wang, Wendong 4 Wang, Zhi Cheng 4 Wu, Tingting 4 Zhang, Aijun 3 Bo, Wei-Jian 3 Cardaliaguet, Pierre 3 Chang, Huibin 3 Chen, Xiaojun 3 Cheng, Xiujun 3 Constantin, Peter 3 Corsaro, Stefania 3 De Simone, Valentina 3 Dehghan Takht Fooladi, Mehdi 3 Dong, Xuanchun 3 Faye, Grégory 3 Ghazaryan, Anna 3 Gillis, Nicolas 3 Guo, Hongjun 3 Gustafson, Stephen J. 3 Kawasaki, Kohkichi 3 Latushkin, Yuri 3 Li, Fang 3 Lindström, Erik 3 Liu, Gui Rong 3 Liu, Shuang 3 Liu, Yuyu 3 Liu, Zuhan 3 Lou, Bendong 3 Lu, Xiliang 3 Madsen, Henrik O. ...and 908 more Authors
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### Cited in 194 Serials

 47 Journal of Differential Equations 27 Archive for Rational Mechanics and Analysis 20 Physica D 18 Journal of Scientific Computing 17 Journal of Dynamics and Differential Equations 17 Discrete and Continuous Dynamical Systems 16 SIAM Journal on Imaging Sciences 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Journal of Computational Physics 13 SIAM Journal on Scientific Computing 12 Inverse Problems 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 SIAM Journal on Optimization 11 Transactions of the American Mathematical Society 10 Journal of Functional Analysis 10 Communications in Partial Differential Equations 10 Mathematical Programming. Series A. Series B 10 Computational Optimization and Applications 10 Science China. Mathematics 9 Communications on Pure and Applied Mathematics 9 Journal of Mathematical Analysis and Applications 9 Journal of Computational and Applied Mathematics 9 SIAM Journal on Mathematical Analysis 9 Nonlinear Analysis. Real World Applications 8 Computers & Mathematics with Applications 8 Communications in Mathematical Physics 8 Journal of Mathematical Biology 8 Applied and Computational Harmonic Analysis 8 Discrete and Continuous Dynamical Systems. Series B 8 Inverse Problems and Imaging 7 Applied Mathematics and Computation 7 Journal of Global Optimization 6 Journal of Statistical Physics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Proceedings of the American Mathematical Society 6 Applied Numerical Mathematics 6 Calculus of Variations and Partial Differential Equations 6 Physics of Fluids 6 Multiscale Modeling & Simulation 5 Advances in Mathematics 5 Memoirs of the American Mathematical Society 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Chaos 5 Communications in Nonlinear Science and Numerical Simulation 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Fluid Mechanics 4 Journal of Mathematical Physics 4 Bulletin of Mathematical Biology 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Mathematische Annalen 4 Neural Networks 4 Annals of Operations Research 4 SIAM Journal on Applied Mathematics 4 Combustion Theory and Modelling 4 Communications on Pure and Applied Analysis 4 SIAM Journal on Applied Dynamical Systems 4 Analysis and Applications (Singapore) 4 Discrete and Continuous Dynamical Systems. Series S 3 Applicable Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Computer Physics Communications 3 Quarterly of Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 Optimization 3 Journal of the American Mathematical Society 3 Numerical Algorithms 3 Discrete Dynamics in Nature and Society 3 Communications in Contemporary Mathematics 3 Mathematical Biosciences and Engineering 3 Optimization Letters 2 Nonlinearity 2 Physica A 2 BIT 2 Mathematics of Operations Research 2 SIAM Journal on Control and Optimization 2 Circuits, Systems, and Signal Processing 2 Acta Applicandae Mathematicae 2 European Journal of Applied Mathematics 2 International Journal of Computer Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Nonlinear Science 2 Top 2 Advances in Computational Mathematics 2 Electronic Journal of Probability 2 The Journal of Fourier Analysis and Applications 2 Taiwanese Journal of Mathematics 2 Journal of Combinatorial Optimization 2 Journal of Turbulence 2 Quantitative Finance 2 Journal of Machine Learning Research (JMLR) 2 Stochastics and Dynamics 2 Journal of Applied Mathematics and Computing 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Boundary Value Problems 2 Networks and Heterogeneous Media 2 Mathematical Modelling of Natural Phenomena 2 Numerical Mathematics: Theory, Methods and Applications 2 The Journal of Mathematical Neuroscience 2 SIAM/ASA Journal on Uncertainty Quantification ...and 94 more Serials
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### Cited in 37 Fields

 446 Partial differential equations (35-XX) 152 Numerical analysis (65-XX) 129 Biology and other natural sciences (92-XX) 120 Operations research, mathematical programming (90-XX) 83 Fluid mechanics (76-XX) 69 Information and communication theory, circuits (94-XX) 51 Dynamical systems and ergodic theory (37-XX) 50 Computer science (68-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 41 Probability theory and stochastic processes (60-XX) 40 Statistical mechanics, structure of matter (82-XX) 37 Classical thermodynamics, heat transfer (80-XX) 33 Ordinary differential equations (34-XX) 24 Operator theory (47-XX) 24 Statistics (62-XX) 20 Integral equations (45-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Optics, electromagnetic theory (78-XX) 13 Differential geometry (53-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Quantum theory (81-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Mechanics of particles and systems (70-XX) 8 Mechanics of deformable solids (74-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Geophysics (86-XX) 5 Combinatorics (05-XX) 5 Functional analysis (46-XX) 5 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Geometry (51-XX)