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Author ID: xin.jack-x Recent zbMATH articles by "Xin, Jack X."
Published as: Xin, Jack; Xin, Jack X.; Xin, J. X.; Xin, J.
all top 5

Co-Authors

14 single-authored
20 Yu, Yifeng
17 Qi, Yingyong
16 Yin, Penghang
11 Nolen, James
10 Osher, Stanley Joel
10 Sun, Yuanchang
10 Zhang, Zhiwen
9 Lou, Yifei
9 Wang, Zhongjian
7 Lyu, Jiancheng
6 Liu, Yuyu
6 Zhang, Shuai
4 Esser, Ernie
4 He, Qi
4 Li, Zhijian
4 Long, Ziang
4 Wehr, Jan
4 Zhou, Aihui
3 Cherkaev, Elena
3 Dinh, Thu
3 Lin, Fang Hua
3 Liu, Jie
3 Wang, Bao
3 Zhu, Jingyi
2 Berlyand, Leonid V.
2 Bertozzi, Andrea Louise
2 Bui, Kevin V.
2 Chadam, John M.
2 Chen, Long
2 Dai, Xiaoying
2 Eyink, Gregory L.
2 Golden, Kenneth M.
2 Ho, Michael
2 Lyu, Junlong
2 Murphy, N. Benjamin
2 Ortoleva, Peter J.
2 Pang, Jong-Shi
2 Park, Fredrick
2 Peirce, Anthony P.
2 Shen, Lihua
2 Yu, Meng
2 Zlatoš, Andrej
1 Ahn, Miju
1 Baker, Justin
1 Bao, Weizhu
1 Brantingham, P. Jeffrey
1 Bricmont, Jean
1 Collet, Pierre
1 del Rio, Fernando
1 Deng, Li
1 Dong, Xuanchun
1 E, Weinan
1 Fennemore, George
1 Finlayson-Pitts, Barbara J.
1 Gao, Hongwei
1 Gu, Haotian
1 Hu, Miao
1 Huang, Kai
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 Mitake, Hiroyoshi
1 Möller, Michael
1 Mooney, Connor
1 Murray, Regan
1 Narayan, Akil C.
1 Postel, Marie
1 Povich, T. J.
1 Ridge, C.
1 Ronney, Paul D.
1 Rudd, Matthew B.
1 Ruuth, Steven J.
1 Sapiro, Guillermo
1 Shaka, A. J.
1 Sølna, Knut
1 Sun, Zheng
1 Tran Vinh Hung
1 Wang, Yiwei
1 Weinstein, Michael I.
1 Wingen, Lisa M.
1 Wu, Wensong
1 Xia, Hedi
1 Xue, Fanghui
1 Yang, Biao
1 Zeng, Tie Yong
1 Zhang, Tan
1 Zhao, Hongkai
1 Zheng, Fan-Gang
...and 2 more Co-Authors
all top 5

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 The Journal of Geometric Analysis
1 Bulletin of the Institute of Mathematics. Academia Sinica
1 SIAM Review
1 SIAM Journal on Optimization
1 Applied and Computational Harmonic Analysis
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 Minimax Theory and its Applications
1 Annals of Mathematical Sciences and Applications

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 1,553 times in 886 Documents Cited by Year
Front propagation in heterogeneous media. Zbl 0951.35060
Xin, Jack
206
1998
Minimization of \(\ell_{1-2}\) for compressed sensing. Zbl 1316.90037
Yin, Penghang; Lou, Yifei; He, Qi; Xin, Jack
110
2015
Existence of planar flame fronts in convective-diffusive periodic media. Zbl 0764.76074
Xin, Jack X.
73
1992
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. I. Zbl 0789.35019
Xin, Jack X.
68
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
67
2005
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. II. Zbl 0789.35020
Levermore, C. D.; Xin, Jack X.
61
1992
Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media. Zbl 1102.35340
Xin, Jack X.
56
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
49
2005
Difference-of-convex learning: directional stationarity, optimality, and sparsity. Zbl 1369.90130
Ahn, Miju; Pang, Jong-Shi; Xin, Jack
48
2017
A method for finding structured sparse solutions to nonnegative least squares problems with applications. Zbl 1282.90239
Esser, Ernie; Lou, Yifei; Xin, Jack
47
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
46
2015
On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation. Zbl 0920.35145
Lin, F.-H.; Xin, J. X.
45
1999
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
43
2015
An introduction to fronts in random media. Zbl 1188.35003
Xin, Jack
40
2009
Modeling light bullets with the two-dimensional sine-Gordon equation. Zbl 0936.78006
Xin, J. X.
36
2000
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
28
2018
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
24
2014
Point source super-resolution via non-convex \(L_1\) based methods. Zbl 1354.65125
Lou, Yifei; Yin, Penghang; Xin, Jack
23
2016
Periodic homogenization of the inviscid G-equation for incompressible flows. Zbl 1372.76085
Xin, Jack; Yu, Yifeng
22
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
21
2010
Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. Zbl 1177.35172
Nolen, James; Xin, Jack
21
2009
Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity. Zbl 0862.35050
Bricmont, J.; Kupiainen, A.; Xin, J.
20
1996
Computational aspects of constrained \(L_1\)-\(L_2\) minimization for compressive sensing. Zbl 1370.90176
Lou, Yifei; Osher, Stanley; Xin, Jack
20
2015
Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033
Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S.
19
2001
Weighted elastic net penalized mean-variance portfolio design and computation. Zbl 1330.91173
Ho, Michael; Sun, Zheng; Xin, Jack
18
2015
A variational principle for KPP front speeds in temporally random shear flows. Zbl 1114.35095
Nolen, James; Xin, Jack
17
2007
Reaction-diffusion front speeds in spactially-temporally periodic shear flows. Zbl 1053.35068
Nolen, Jim; Xin, Jack
15
2003
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
15
2012
Minimization of transformed \(l_1\) penalty: closed form representation and iterative thresholding algorithms. Zbl 1386.94048
Zhang, Shuai; Xin, Jack
15
2017
PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms. Zbl 1342.94052
Yin, Penghang; Xin, Jack
15
2015
A variational principle based study of KPP minimal front speeds in random shears. Zbl 1181.35135
Nolen, James; Xin, Jack
13
2005
On the dynamical law of the Ginzburg-Landau vortices on the plane. Zbl 0935.35036
Lin, F.-H.; Xin, J. X.
12
1999
Global solutions to a reactive Boussinesq system with front data on an infinite domain. Zbl 0908.35104
Malham, Simon; Xin, Jack X.
12
1998
Self-similar decay in the Kraichnan model of a passive scalar. Zbl 1008.76028
Eyink, Gregory L.; Xin, Jack
12
2000
Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media. Zbl 0900.35193
Xin, Jack X.; Zhu, Jingyi
12
1995
Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. Zbl 1366.35018
Xin, Jack; Yu, Yifeng
12
2013
Periodic orbits of the ABC flow with \(A=B=C=1\). Zbl 1366.34062
Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
11
2016
KPP fronts in a one-dimensional random drift. Zbl 1160.35443
Nolen, James; Xin, Jack
9
2009
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.
9
1996
White noise perturbation of the viscous shock fronts of the Burgers equation. Zbl 0858.60059
Wehr, J.; Xin, J.
8
1996
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
8
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
8
2015
Bounds on front speeds for inviscid and viscous \(G\)-equations. Zbl 1256.35090
Nolen, James; Xin, Jack; Yu, Yifeng
8
2009
KPP front speeds in random shears and the parabolic Anderson problem. Zbl 1052.35099
Xin, Jack
7
2003
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
7
2017
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
7
2018
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
7
2011
Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media. Zbl 0819.76097
Xin, Jack X.
6
1994
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105
Weinstein, M. I.; Xin, J.
6
1996
Residual diffusivity in elephant random walk models with stops. Zbl 1409.60073
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
6
2019
A two-dimensional nonlinear nonlocal feed-forward cochlear model and time domain computation of multitone interactions. Zbl 1092.35113
Kim, Yongsam; Xin, Jack
5
2005
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
5
2014
Transformed Schatten-1 iterative thresholding algorithms for low rank matrix completion. Zbl 1395.90207
Zhang, Shuai; Yin, Penghang; Xin, Jack
5
2017
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
5
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
5
2013
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
5
2019
Large time asymptotic of solutions to a model combustion system with critical nonlinearity. Zbl 0820.35081
Berlyand, L.; Xin, J.
4
1995
A soft-constrained dynamic iterative method of blind source separation. Zbl 1177.94064
Liu, Jie; Xin, Jack; Qi, Yingyong
4
2009
Front speed in the Burgers equation with a random flux. Zbl 0920.35141
Wehr, J.; Xin, J.
4
1997
A unified approach to vortex motion laws of complex scalar field equations. Zbl 0930.35025
Lin, F.-H.; Xin, J. X.
4
1998
Front quenching in the G-equation model induced by straining of cellular flow. Zbl 1305.35144
Xin, Jack; Yu, Yifeng
4
2014
Ballistic orbits and front speed enhancement for ABC flows. Zbl 1418.34080
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
4
2016
Periodic homogenization of G-equations and viscosity effects. Zbl 1197.70012
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
4
2010
Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156
Gu, Haotian; Xin, Jack; Zhang, Zhiwen
4
2021
Iterative \({\ell_1}\) minimization for non-convex compressed sensing. Zbl 1413.90223
Yin, Penghang; Xin, Jack
4
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
4
2018
Underdetermined sparse blind source separation of nonnegative and partially overlapped data. Zbl 1234.94017
Sun, Yuanchang; Xin, Jack
3
2011
Computing reactive front speeds in random flows by variational principle. Zbl 1155.76061
Nolen, James; Xin, Jack
3
2008
Stability of traveling waves of a solute transport equation. Zbl 0884.35011
Xin, Jack X.
3
1997
Linear feature transform and enhancement of classification on deep neural network. Zbl 1484.68210
Yin, Penghang; Xin, Jack; Qi, Yingyong
3
2018
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui
3
2013
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
3
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
3
2021
Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions. Zbl 0909.35021
Xin, J.; Moloney, J.
2
1998
Min-max variational principle and front speeds in random shear flows. Zbl 1107.35366
Nolen, James; Xin, Jack
2
2004
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
2
2009
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.
2
1993
Existence of a class of symmetric rotating spiral waves on finite disc domains in excitable media. Zbl 0791.35061
Xin, Jack
2
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.
2
2017
Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field. Zbl 1007.60066
Eyink, Gregory; Xin, Jack
2
2002
Convergence analysis of stochastic structure-preserving schemes for computing effective diffusivity in random flows. Zbl 1509.37120
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2
2020
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method. Zbl 07540355
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2
2022
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.
2
2020
Sparse Kalman filtering approaches to realized covariance estimation from high frequency financial data. Zbl 1458.62245
Ho, Michael; Xin, Jack
2
2019
Breakdown of homogenization for the random Hamilton-Jacobi equations. Zbl 1207.70018
E, Weinan; Wehr, Jan; Xin, Jack
1
2008
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
1
2006
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
1
2000
Wetting fronts in one-dimensional periodically layered soils. Zbl 0908.35017
Fennemore, George; Xin, Jack X.
1
1998
Curvature effect in shear flow: slowdown of turbulent flame speeds with Markstein number. Zbl 1412.80007
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
1
2018
Three \(l_1\) based nonconvex methods in constructing sparse mean reverting portfolios. Zbl 1458.62248
Long, Xiaolong; Solna, Knut; Xin, Jack
1
2018
Existence of traveling waves in a biodegradation model for organic contaminants. Zbl 0957.92032
Murray, Regan; Xin, J. X.
1
1999
A numerical study of fronts in random media using a reactive solute transport model. Zbl 0941.76084
Postel, Marie; Xin, Jack
1
1997
Finite element computations of Kolmogorov-Petrovsky-Piskunov front speeds in random shear flows in cylinders. Zbl 1400.76096
Shen, Lihua; Xin, Jack; Zhou, Aihui
1
2008
A numerical study of the light bullets interaction in the \((2+1)\) sine-Gordon equation. Zbl 1136.35456
Povich, T.; Xin, J.
1
2005
Hybrid deterministic-stochastic gradient Langevin dynamics for Bayesian learning. Zbl 1329.60260
He, Qi; Xin, Jack
1
2012
Modelling thermal front dynamics in microwave heating. Zbl 1029.80003
Mercado, Gema A.; Luce, Benjamin P.; Xin, Jack
1
2002
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.
1
2011
A weighted difference of anisotropic and isotropic total variation for relaxed Mumford-Shah color and multiphase image segmentation. Zbl 1478.94016
Bui, Kevin; Park, Fredrick; Lou, Yifei; Xin, Jack
1
2021
A convergent interacting particle method and computation of KPP front speeds in chaotic flows. Zbl 07538279
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
1
2022
Two-grid based adaptive proper orthogonal decomposition method for time dependent partial differential equations. Zbl 1448.65128
Dai, Xiaoying; Kuang, Xiong; Xin, Jack; Zhou, Aihui
1
2020
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
3
2022
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method. Zbl 07540355
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2
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
1
2022
Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156
Gu, Haotian; Xin, Jack; Zhang, Zhiwen
4
2021
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
3
2021
A weighted difference of anisotropic and isotropic total variation for relaxed Mumford-Shah color and multiphase image segmentation. Zbl 1478.94016
Bui, Kevin; Park, Fredrick; Lou, Yifei; Xin, Jack
1
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
1
2021
Learning quantized neural nets by coarse gradient method for nonlinear classification. Zbl 1476.90263
Long, Ziang; Yin, Penghang; Xin, Jack
1
2021
Convergence analysis of stochastic structure-preserving schemes for computing effective diffusivity in random flows. Zbl 1509.37120
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2
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.
2
2020
Two-grid based adaptive proper orthogonal decomposition method for time dependent partial differential equations. Zbl 1448.65128
Dai, Xiaoying; Kuang, Xiong; Xin, Jack; Zhou, Aihui
1
2020
Residual diffusivity in elephant random walk models with stops. Zbl 1409.60073
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
6
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
5
2019
Sparse Kalman filtering approaches to realized covariance estimation from high frequency financial data. Zbl 1458.62245
Ho, Michael; Xin, Jack
2
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
28
2018
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
7
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
4
2018
Linear feature transform and enhancement of classification on deep neural network. Zbl 1484.68210
Yin, Penghang; Xin, Jack; Qi, Yingyong
3
2018
Curvature effect in shear flow: slowdown of turbulent flame speeds with Markstein number. Zbl 1412.80007
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
1
2018
Three \(l_1\) based nonconvex methods in constructing sparse mean reverting portfolios. Zbl 1458.62248
Long, Xiaolong; Solna, Knut; Xin, Jack
1
2018
Difference-of-convex learning: directional stationarity, optimality, and sparsity. Zbl 1369.90130
Ahn, Miju; Pang, Jong-Shi; Xin, Jack
48
2017
Minimization of transformed \(l_1\) penalty: closed form representation and iterative thresholding algorithms. Zbl 1386.94048
Zhang, Shuai; Xin, Jack
15
2017
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
7
2017
Transformed Schatten-1 iterative thresholding algorithms for low rank matrix completion. Zbl 1395.90207
Zhang, Shuai; Yin, Penghang; Xin, Jack
5
2017
Iterative \({\ell_1}\) minimization for non-convex compressed sensing. Zbl 1413.90223
Yin, Penghang; Xin, Jack
4
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.
2
2017
Point source super-resolution via non-convex \(L_1\) based methods. Zbl 1354.65125
Lou, Yifei; Yin, Penghang; Xin, Jack
23
2016
Periodic orbits of the ABC flow with \(A=B=C=1\). Zbl 1366.34062
Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
11
2016
Ballistic orbits and front speed enhancement for ABC flows. Zbl 1418.34080
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
4
2016
Minimization of \(\ell_{1-2}\) for compressed sensing. Zbl 1316.90037
Yin, Penghang; Lou, Yifei; He, Qi; Xin, Jack
110
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
46
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
43
2015
Computational aspects of constrained \(L_1\)-\(L_2\) minimization for compressive sensing. Zbl 1370.90176
Lou, Yifei; Osher, Stanley; Xin, Jack
20
2015
Weighted elastic net penalized mean-variance portfolio design and computation. Zbl 1330.91173
Ho, Michael; Sun, Zheng; Xin, Jack
18
2015
PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms. Zbl 1342.94052
Yin, Penghang; Xin, Jack
15
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
8
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
24
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
8
2014
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
5
2014
Front quenching in the G-equation model induced by straining of cellular flow. Zbl 1305.35144
Xin, Jack; Yu, Yifeng
4
2014
Mathematical modeling and signal processing in speech and hearing sciences. Zbl 1293.94003
Xin, Jack; Qi, Yingyong
1
2014
A method for finding structured sparse solutions to nonnegative least squares problems with applications. Zbl 1282.90239
Esser, Ernie; Lou, Yifei; Xin, Jack
47
2013
Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. Zbl 1366.35018
Xin, Jack; Yu, Yifeng
12
2013
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
5
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
5
2013
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui
3
2013
Turbulent flame speeds of G-equation models in unsteady cellular flows. Zbl 1372.76057
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
1
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
15
2012
Hybrid deterministic-stochastic gradient Langevin dynamics for Bayesian learning. Zbl 1329.60260
He, Qi; Xin, Jack
1
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
1
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
7
2011
Underdetermined sparse blind source separation of nonnegative and partially overlapped data. Zbl 1234.94017
Sun, Yuanchang; Xin, Jack
3
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.
1
2011
Periodic homogenization of the inviscid G-equation for incompressible flows. Zbl 1372.76085
Xin, Jack; Yu, Yifeng
22
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
21
2010
Periodic homogenization of G-equations and viscosity effects. Zbl 1197.70012
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
4
2010
An introduction to fronts in random media. Zbl 1188.35003
Xin, Jack
40
2009
Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. Zbl 1177.35172
Nolen, James; Xin, Jack
21
2009
KPP fronts in a one-dimensional random drift. Zbl 1160.35443
Nolen, James; Xin, Jack
9
2009
Bounds on front speeds for inviscid and viscous \(G\)-equations. Zbl 1256.35090
Nolen, James; Xin, Jack; Yu, Yifeng
8
2009
A soft-constrained dynamic iterative method of blind source separation. Zbl 1177.94064
Liu, Jie; Xin, Jack; Qi, Yingyong
4
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
2
2009
Computing reactive front speeds in random flows by variational principle. Zbl 1155.76061
Nolen, James; Xin, Jack
3
2008
Breakdown of homogenization for the random Hamilton-Jacobi equations. Zbl 1207.70018
E, Weinan; Wehr, Jan; Xin, Jack
1
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
1
2008
A variational principle for KPP front speeds in temporally random shear flows. Zbl 1114.35095
Nolen, James; Xin, Jack
17
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
1
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
67
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
49
2005
A variational principle based study of KPP minimal front speeds in random shears. Zbl 1181.35135
Nolen, James; Xin, Jack
13
2005
A two-dimensional nonlinear nonlocal feed-forward cochlear model and time domain computation of multitone interactions. Zbl 1092.35113
Kim, Yongsam; Xin, Jack
5
2005
A numerical study of the light bullets interaction in the \((2+1)\) sine-Gordon equation. Zbl 1136.35456
Povich, T.; Xin, J.
1
2005
Min-max variational principle and front speeds in random shear flows. Zbl 1107.35366
Nolen, James; Xin, Jack
2
2004
Reaction-diffusion front speeds in spactially-temporally periodic shear flows. Zbl 1053.35068
Nolen, Jim; Xin, Jack
15
2003
KPP front speeds in random shears and the parabolic Anderson problem. Zbl 1052.35099
Xin, Jack
7
2003
Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field. Zbl 1007.60066
Eyink, Gregory; Xin, Jack
2
2002
Modelling thermal front dynamics in microwave heating. Zbl 1029.80003
Mercado, Gema A.; Luce, Benjamin P.; Xin, Jack
1
2002
Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033
Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S.
19
2001
Modeling light bullets with the two-dimensional sine-Gordon equation. Zbl 0936.78006
Xin, J. X.
36
2000
Self-similar decay in the Kraichnan model of a passive scalar. Zbl 1008.76028
Eyink, Gregory L.; Xin, Jack
12
2000
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
1
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.
45
1999
On the dynamical law of the Ginzburg-Landau vortices on the plane. Zbl 0935.35036
Lin, F.-H.; Xin, J. X.
12
1999
Existence of traveling waves in a biodegradation model for organic contaminants. Zbl 0957.92032
Murray, Regan; Xin, J. X.
1
1999
Front propagation in heterogeneous media. Zbl 0951.35060
Xin, Jack
206
1998
Global solutions to a reactive Boussinesq system with front data on an infinite domain. Zbl 0908.35104
Malham, Simon; Xin, Jack X.
12
1998
A unified approach to vortex motion laws of complex scalar field equations. Zbl 0930.35025
Lin, F.-H.; Xin, J. X.
4
1998
Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions. Zbl 0909.35021
Xin, J.; Moloney, J.
2
1998
Wetting fronts in one-dimensional periodically layered soils. Zbl 0908.35017
Fennemore, George; Xin, Jack X.
1
1998
Front speed in the Burgers equation with a random flux. Zbl 0920.35141
Wehr, J.; Xin, J.
4
1997
Stability of traveling waves of a solute transport equation. Zbl 0884.35011
Xin, Jack X.
3
1997
A numerical study of fronts in random media using a reactive solute transport model. Zbl 0941.76084
Postel, Marie; Xin, Jack
1
1997
Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity. Zbl 0862.35050
Bricmont, J.; Kupiainen, A.; Xin, J.
20
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.
9
1996
White noise perturbation of the viscous shock fronts of the Burgers equation. Zbl 0858.60059
Wehr, J.; Xin, J.
8
1996
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105
Weinstein, M. I.; Xin, J.
6
1996
Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media. Zbl 0900.35193
Xin, Jack X.; Zhu, Jingyi
12
1995
Large time asymptotic of solutions to a model combustion system with critical nonlinearity. Zbl 0820.35081
Berlyand, L.; Xin, J.
4
1995
Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media. Zbl 0819.76097
Xin, Jack X.
6
1994
Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media. Zbl 1102.35340
Xin, Jack X.
56
1993
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Cited by 1,232 Authors

46 Xin, Jack X.
37 Shen, Wenxian
31 Hamel, François
21 Lou, Yifei
16 Li, Wan-Tong
16 Zlatoš, Andrej
15 Berestycki, Henri
15 Nadin, Grégoire
14 Zeng, Tie Yong
12 Liang, Xing
11 Salako, Rachidi Bolaji
11 Zhang, Zhiwen
10 Ng, Michael Kwok-Po
10 Pang, Jong-Shi
10 Ryzhik, Lenya
9 Bu, Zhenhui
9 Henderson, Christopher
9 Pong, Ting Kei
8 Bao, Weizhu
8 Wang, Zhongjian
8 Yin, Penghang
8 Yu, Yifeng
7 Alfaro, Matthieu
7 Ding, Weiwei
7 Matano, Hiroshi
7 Nolen, James
7 Qi, Yuanwei
7 Spirn, Daniel P.
7 Wang, Zhi Cheng
6 Bao, Xiongxiong
6 Chen, Wengu
6 Holzer, Matt
6 Le Thi, Hoai An
6 Lu, Zhaosong
6 Lv, Guangying
6 Osting, Braxton
6 Ou, Chunhua
6 Roques, Lionel J.
6 Rossi, Luca
6 Shen, Zhongwei
6 Sheng, WeiJie
6 Souganidis, Panagiotis E.
6 Tao, Min
6 Wang, Zhi Cheng
6 Wu, Shiliang
5 Chen, Xiaojun
5 Chen, Xinfu
5 Ducrot, Arnaud
5 Ge, HuanMin
5 Giletti, Thomas
5 Griette, Quentin
5 Kiselev, Alexander A.
5 Li, Fang
5 Lin, Guo
5 Lutscher, Frithjof
5 Ruan, Shigui
5 Wang, Dong
5 Xiu, Naihua
5 Yuan, Rong
5 Zhao, Xiao-Qiang
4 Ahn, Miju
4 Bai, Yanqin
4 Bo, Wei-Jian
4 Cui, Ying
4 Du, Lijun
4 El Smaily, Mohammad Ibrahim
4 Eyink, Gregory L.
4 Guo, Hongjun
4 Guo, Jong-Shenq
4 He, Junfeng
4 Hsu, Cheng-Hsiung
4 Hupkes, Hermen Jan
4 Jerrard, Robert Leon
4 Kurzke, Matthias W.
4 Lam, King-Yeung
4 Li, Qian
4 Lin, Chikun
4 Lin, Fang Hua
4 Lin, Taichia
4 Liu, NaiWei
4 Liu, Tianxiang
4 Liu, Yuyu
4 Nara, Mitsunori
4 Ni, Guoxi
4 Osher, Stanley Joel
4 Pham Dinh Tao
4 Qi, Houduo
4 Tran Vinh Hung
4 Vulpiani, Angelo
4 Wang, Chao
4 Wang, Mingxin
4 Wang, Wendong
4 Wu, Tingting
4 Yu, Xiao
4 Yuan, Xiaoming
4 Zhang, Aijun
3 Cardaliaguet, Pierre
3 Chang, Huibin
3 Chen, Ko-Shin
3 Cheng, Xiujun
...and 1,132 more Authors
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Cited in 221 Serials

51 Journal of Differential Equations
28 Archive for Rational Mechanics and Analysis
25 Journal of Scientific Computing
22 Physica D
21 Journal of Dynamics and Differential Equations
18 Discrete and Continuous Dynamical Systems
18 SIAM Journal on Imaging Sciences
17 Inverse Problems
15 Journal of Computational Physics
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Computational Optimization and Applications
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Computers & Mathematics with Applications
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Mathematical Programming. Series A. Series B
13 SIAM Journal on Optimization
13 SIAM Journal on Scientific Computing
12 Discrete and Continuous Dynamical Systems. Series B
11 Journal of Computational and Applied Mathematics
11 Journal of Functional Analysis
11 Transactions of the American Mathematical Society
10 Communications in Partial Differential Equations
10 SIAM Journal on Mathematical Analysis
10 Nonlinear Analysis. Real World Applications
10 Science China. Mathematics
9 Communications on Pure and Applied Mathematics
9 Journal of Mathematical Analysis and Applications
9 Journal of Global Optimization
9 Communications in Nonlinear Science and Numerical Simulation
9 Inverse Problems and Imaging
8 Communications in Mathematical Physics
8 Journal of Mathematical Biology
8 Calculus of Variations and Partial Differential Equations
8 Applied and Computational Harmonic Analysis
7 Applied Mathematics and Computation
7 Proceedings of the American Mathematical Society
7 Applied Numerical Mathematics
6 Journal of Mathematical Physics
6 Journal of Statistical Physics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Advances in Mathematics
6 Physics of Fluids
6 Advances in Computational Mathematics
6 Multiscale Modeling & Simulation
5 Mathematische Annalen
5 Memoirs of the American Mathematical Society
5 Neural Networks
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Chaos
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Communications on Pure and Applied Analysis
5 Optimization Letters
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Fluid Mechanics
4 Nonlinearity
4 Bulletin of Mathematical Biology
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Annals of Operations Research
4 Numerical Algorithms
4 SIAM Journal on Applied Mathematics
4 Combustion Theory and Modelling
4 Communications in Contemporary Mathematics
4 SIAM Journal on Applied Dynamical Systems
4 Analysis and Applications (Singapore)
4 Journal of Industrial and Management Optimization
4 Discrete and Continuous Dynamical Systems. Series S
4 Research in the Mathematical Sciences
3 Applicable Analysis
3 Computer Physics Communications
3 Quarterly of Applied Mathematics
3 SIAM Journal on Control and Optimization
3 SIAM Journal on Numerical Analysis
3 Circuits, Systems, and Signal Processing
3 Optimization
3 Journal of the American Mathematical Society
3 European Journal of Applied Mathematics
3 Journal of Nonlinear Science
3 Mathematical Problems in Engineering
3 Optimization Methods & Software
3 Discrete Dynamics in Nature and Society
3 Journal of Machine Learning Research (JMLR)
3 Journal of Applied Mathematics and Computing
3 Mathematical Biosciences and Engineering
3 Journal of Physics A: Mathematical and Theoretical
3 Mathematical Modelling of Natural Phenomena
3 SIAM/ASA Journal on Uncertainty Quantification
2 Physica A
2 Wave Motion
2 BIT
2 Journal of Optimization Theory and Applications
2 Mathematics of Operations Research
2 Proceedings of the London Mathematical Society. Third Series
2 Acta Applicandae Mathematicae
2 Numerical Methods for Partial Differential Equations
2 Japan Journal of Industrial and Applied Mathematics
2 Computational Statistics
2 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
...and 121 more Serials
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Cited in 37 Fields

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

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