×
Author ID: xin.jack-x Recent zbMATH articles by "Xin, Jack X."
Published as: Xin, Jack; Xin, J.; Xin, Jack X.; Xin, J. X.
Homepage: https://www.math.uci.edu/~jxin/
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp
all top 5

Co-Authors

14 single-authored
20 Yu, Yifeng
15 Qi, Yingyong
15 Yin, Penghang
14 Zhang, Zhiwen
13 Wang, Zhongjian
11 Nolen, James
9 Lou, Yifei
9 Osher, Stanley Joel
9 Sun, Yuanchang
6 Liu, Yuyu
5 Lyu, Jiancheng
5 Zhang, Shuai
5 Zhou, Aihui
4 Esser, Ernie
4 He, Qi
4 Long, Ziang
4 Wehr, Jan
3 Cherkaev, Elena
3 Dinh, Thu
3 Lin, Fang Hua
3 Liu, Jie
3 Shen, Lihua
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 Mooney, Connor
2 Murphy, N. Benjamin
2 Ortoleva, Peter J.
2 Pang, Jong-Shi
2 Park, Fredrick
2 Peirce, Anthony P.
2 Yu, Meng
2 Zhang, Tan
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, Boyi
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 Murray, Regan
1 Narayan, Akil C.
1 Postel, Marie
1 Povich, T. J.
1 Raquépas, Renaud
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 Whiting, Wes
1 Wingen, Lisa M.
1 Wu, Wensong
1 Wu, Zhizhang
1 Xia, Hedi
1 Zeng, Tie Yong
1 Zhao, Hongkai
...and 2 more Co-Authors
all top 5

Serials

12 Communications in Mathematical Sciences
8 Physica D
7 Communications in Mathematical Physics
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 Computational Physics
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
2 Communications on Applied Mathematics and Computation
1 Communications on Pure and Applied Mathematics
1 IMA Journal of Applied Mathematics
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 Bulletin of the American Mathematical Society. New Series
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

108 Publications have been cited 1,811 times in 1,020 Documents Cited by Year
Front propagation in heterogeneous media. Zbl 0951.35060
Xin, Jack
233
1998
Minimization of \(\ell_{1-2}\) for compressed sensing. Zbl 1316.90037
Yin, Penghang; Lou, Yifei; He, Qi; Xin, Jack
146
2015
Existence of planar flame fronts in convective-diffusive periodic media. Zbl 0764.76074
Xin, Jack X.
76
1992
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. I. Zbl 0789.35019
Xin, Jack X.
70
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
69
2005
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. II. Zbl 0789.35020
Levermore, C. D.; Xin, Jack X.
62
1992
A weighted difference of anisotropic and isotropic total variation model for image processing. Zbl 1322.94019
Lou, Yifei; Zeng, Tieyong; Osher, Stanley; Xin, Jack
61
2015
Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media. Zbl 1102.35340
Xin, Jack X.
58
1993
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
54
2015
A method for finding structured sparse solutions to nonnegative least squares problems with applications. Zbl 1282.90239
Esser, Ernie; Lou, Yifei; Xin, Jack
53
2013
Difference-of-convex learning: directional stationarity, optimality, and sparsity. Zbl 1369.90130
Ahn, Miju; Pang, Jong-Shi; Xin, Jack
53
2017
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
On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation. Zbl 0920.35145
Lin, F.-H.; Xin, J. X.
46
1999
An introduction to fronts in random media. Zbl 1188.35003
Xin, Jack
45
2009
Modeling light bullets with the two-dimensional sine-Gordon equation. Zbl 0936.78006
Xin, J. X.
44
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
35
2018
Point source super-resolution via non-convex \(L_1\) based methods. Zbl 1354.65125
Lou, Yifei; Yin, Penghang; Xin, Jack
28
2016
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
26
2014
Computational aspects of constrained \(L_1\)-\(L_2\) minimization for compressive sensing. Zbl 1370.90176
Lou, Yifei; Osher, Stanley; Xin, Jack
25
2015
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
24
2010
Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. Zbl 1177.35172
Nolen, James; Xin, Jack
23
2009
Periodic homogenization of the inviscid G-equation for incompressible flows. Zbl 1372.76085
Xin, Jack; Yu, Yifeng
23
2010
Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity. Zbl 0862.35050
Bricmont, J.; Kupiainen, A.; Xin, J.
21
1996
Weighted elastic net penalized mean-variance portfolio design and computation. Zbl 1330.91173
Ho, Michael; Sun, Zheng; 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
A variational principle for KPP front speeds in temporally random shear flows. Zbl 1114.35095
Nolen, James; Xin, Jack
18
2007
Minimization of transformed \(l_1\) penalty: closed form representation and iterative thresholding algorithms. Zbl 1386.94048
Zhang, Shuai; Xin, Jack
18
2017
PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms. Zbl 1342.94052
Yin, Penghang; Xin, Jack
17
2015
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
On the dynamical law of the Ginzburg-Landau vortices on the plane. Zbl 0935.35036
Lin, F.-H.; Xin, J. X.
14
1999
Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. Zbl 1366.35018
Xin, Jack; Yu, Yifeng
13
2013
A variational principle based study of KPP minimal front speeds in random shears. Zbl 1181.35135
Nolen, James; Xin, Jack
13
2005
Global solutions to a reactive Boussinesq system with front data on an infinite domain. Zbl 0908.35104
Malham, Simon; Xin, Jack X.
13
1998
Periodic orbits of the ABC flow with \(A=B=C=1\). Zbl 1366.34062
Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
13
2016
Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media. Zbl 0900.35193
Xin, Jack X.; Zhu, Jingyi
13
1995
Self-similar decay in the Kraichnan model of a passive scalar. Zbl 1008.76028
Eyink, Gregory L.; Xin, Jack
13
2000
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.
10
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
10
2011
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
9
2014
KPP fronts in a one-dimensional random drift. Zbl 1160.35443
Nolen, James; Xin, Jack
9
2009
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
9
2015
White noise perturbation of the viscous shock fronts of the Burgers equation. Zbl 0858.60059
Wehr, J.; Xin, J.
8
1996
Bounds on front speeds for inviscid and viscous \(G\)-equations. Zbl 1256.35090
Nolen, James; Xin, Jack; Yu, Yifeng
8
2009
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
8
2018
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
8
2017
KPP front speeds in random shears and the parabolic Anderson problem. Zbl 1052.35099
Xin, Jack
7
2003
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105
Weinstein, M. I.; Xin, J.
6
1996
Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media. Zbl 0819.76097
Xin, Jack X.
6
1994
Residual diffusivity in elephant random walk models with stops. Zbl 1409.60073
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
6
2019
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
6
2021
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
6
2013
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
6
2022
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
5
2014
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
Front speed in the Burgers equation with a random flux. Zbl 0920.35141
Wehr, J.; Xin, J.
5
1997
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
Ballistic orbits and front speed enhancement for ABC flows. Zbl 1418.34080
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
5
2016
Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156
Gu, Haotian; Xin, Jack; Zhang, Zhiwen
5
2021
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
5
2022
Transformed Schatten-1 iterative thresholding algorithms for low rank matrix completion. Zbl 1395.90207
Zhang, Shuai; Yin, Penghang; Xin, Jack
5
2017
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
5
2021
Computing reactive front speeds in random flows by variational principle. Zbl 1155.76061
Nolen, James; Xin, Jack
4
2008
A unified approach to vortex motion laws of complex scalar field equations. Zbl 0930.35025
Lin, F.-H.; Xin, J. X.
4
1998
Periodic homogenization of G-equations and viscosity effects. Zbl 1197.70012
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
4
2010
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
A soft-constrained dynamic iterative method of blind source separation. Zbl 1177.94064
Liu, Jie; Xin, Jack; Qi, Yingyong
4
2009
Large time asymptotic of solutions to a model combustion system with critical nonlinearity. Zbl 0820.35081
Berlyand, L.; Xin, J.
4
1995
Iterative \({\ell_1}\) minimization for non-convex compressed sensing. Zbl 1413.90223
Yin, Penghang; Xin, Jack
4
2017
A convergent interacting particle method and computation of KPP front speeds in chaotic flows. Zbl 07538279
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
4
2022
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui
4
2013
Stability of traveling waves of a solute transport equation. Zbl 0884.35011
Xin, Jack X.
3
1997
Existence of a class of symmetric rotating spiral waves on finite disc domains in excitable media. Zbl 0791.35061
Xin, Jack
3
1993
A numerical study of the light bullets interaction in the \((2+1)\) sine-Gordon equation. Zbl 1136.35456
Povich, T.; Xin, J.
3
2005
Underdetermined sparse blind source separation of nonnegative and partially overlapped data. Zbl 1234.94017
Sun, Yuanchang; Xin, Jack
3
2011
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
3
2020
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
3
2020
Linear feature transform and enhancement of classification on deep neural network. Zbl 1484.68210
Yin, Penghang; Xin, Jack; Qi, Yingyong
3
2018
Hybrid deterministic-stochastic gradient Langevin dynamics for Bayesian learning. Zbl 1329.60260
He, Qi; Xin, Jack
2
2012
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
Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions. Zbl 0909.35021
Xin, J.; Moloney, J.
2
1998
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
Sparse Kalman filtering approaches to realized covariance estimation from high frequency financial data. Zbl 1458.62245
Ho, Michael; Xin, Jack
2
2019
Min-max variational principle and front speeds in random shear flows. Zbl 1107.35366
Nolen, James; Xin, Jack
2
2004
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
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
Curvature effect in shear flow: slowdown of turbulent flame speeds with Markstein number. Zbl 1412.80007
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2
2018
Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis. Zbl 1539.76086
Gao, Hongwei; Long, Ziang; Xin, Jack; Yu, Yifeng
2
2024
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
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 numerical study of fronts in random media using a reactive solute transport model. Zbl 0941.76084
Postel, Marie; Xin, Jack
1
1997
A perception- and PDE-based nonlinear transformation for processing spoken words. Zbl 0981.35036
Qi, Yingyong; Xin, Jack
1
2001
Existence of traveling waves in a biodegradation model for organic contaminants. Zbl 0957.92032
Murray, Regan; Xin, J. X.
1
1999
Modelling thermal front dynamics in microwave heating. Zbl 1029.80003
Mercado, Gema A.; Luce, Benjamin P.; Xin, Jack
1
2002
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
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
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
Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis. Zbl 1539.76086
Gao, Hongwei; Long, Ziang; Xin, Jack; Yu, Yifeng
2
2024
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
6
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
5
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
4
2022
Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method. Zbl 07598348
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
1
2022
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
6
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
5
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
5
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
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
3
2020
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
3
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
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
35
2018
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
8
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
2
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
53
2017
Minimization of transformed \(l_1\) penalty: closed form representation and iterative thresholding algorithms. Zbl 1386.94048
Zhang, Shuai; Xin, Jack
18
2017
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
8
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
28
2016
Periodic orbits of the ABC flow with \(A=B=C=1\). Zbl 1366.34062
Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
13
2016
Ballistic orbits and front speed enhancement for ABC flows. Zbl 1418.34080
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
5
2016
Minimization of \(\ell_{1-2}\) for compressed sensing. Zbl 1316.90037
Yin, Penghang; Lou, Yifei; He, Qi; Xin, Jack
146
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
61
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
54
2015
Computational aspects of constrained \(L_1\)-\(L_2\) minimization for compressive sensing. Zbl 1370.90176
Lou, Yifei; Osher, Stanley; Xin, Jack
25
2015
Weighted elastic net penalized mean-variance portfolio design and computation. Zbl 1330.91173
Ho, Michael; Sun, Zheng; Xin, Jack
20
2015
PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms. Zbl 1342.94052
Yin, Penghang; Xin, Jack
17
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
9
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
26
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
9
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
5
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
53
2013
Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. Zbl 1366.35018
Xin, Jack; Yu, Yifeng
13
2013
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
6
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
4
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
2
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
10
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
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
24
2010
Periodic homogenization of the inviscid G-equation for incompressible flows. Zbl 1372.76085
Xin, Jack; Yu, Yifeng
23
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
45
2009
Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. Zbl 1177.35172
Nolen, James; Xin, Jack
23
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
4
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
18
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
69
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.
3
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
A perception- and PDE-based nonlinear transformation for processing spoken words. Zbl 0981.35036
Qi, Yingyong; Xin, Jack
1
2001
Modeling light bullets with the two-dimensional sine-Gordon equation. Zbl 0936.78006
Xin, J. X.
44
2000
Self-similar decay in the Kraichnan model of a passive scalar. Zbl 1008.76028
Eyink, Gregory L.; Xin, Jack
13
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.
46
1999
On the dynamical law of the Ginzburg-Landau vortices on the plane. Zbl 0935.35036
Lin, F.-H.; Xin, J. X.
14
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
233
1998
Global solutions to a reactive Boussinesq system with front data on an infinite domain. Zbl 0908.35104
Malham, Simon; Xin, Jack X.
13
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.
5
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.
21
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.
10
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
13
1995
...and 8 more Documents
all top 5

Cited by 1,452 Authors

54 Xin, Jack X.
36 Shen, Wenxian
32 Hamel, François
25 Lou, Yifei
19 Wang, Zhicheng
17 Zlatoš, Andrej
16 Li, Wan-Tong
16 Zeng, Tie Yong
15 Berestycki, Henri
15 Nadin, Grégoire
13 Liang, Xing
13 Qi, Yuanwei
13 Zhang, Zhiwen
11 Ryzhik, Lenya
11 Salako, Rachidi Bolaji
10 Ng, Michael Kwok-Po
10 Pang, Jong-Shi
10 Wang, Zhongjian
9 Bao, Weizhu
9 Bu, Zhenhui
9 Henderson, Christopher
9 Pong, Ting Kei
9 Yin, Penghang
9 Yu, Yifeng
8 Chen, Wengu
8 Chen, Xinfu
8 Sheng, WeiJie
7 Alfaro, Matthieu
7 Ding, Weiwei
7 Le Thi, Hoai An
7 Matano, Hiroshi
7 Nolen, James
7 Spirn, Daniel P.
6 Bao, Xiongxiong
6 Ducrot, Arnaud
6 Ge, HuanMin
6 Giletti, Thomas
6 Holzer, Matt
6 Lin, Guo
6 Lu, Zhaosong
6 Lv, Guangying
6 Osting, Braxton
6 Ou, Chunhua
6 Roques, Lionel J.
6 Rossi, Luca
6 Shen, Zhongwei
6 Souganidis, Panagiotis E.
6 Tao, Min
6 Wu, Shiliang
6 Zhou, Tao
5 Ahn, Miju
5 Chen, Xiaojun
5 Ding, Liang
5 Griette, Quentin
5 Kiselev, Alexander A.
5 Li, Fang
5 Lin, Fang Hua
5 Lin, Taichia
5 Lutscher, Frithjof
5 Osher, Stanley Joel
5 Ruan, Shigui
5 Vergni, Davide
5 Vulpiani, Angelo
5 Wang, Dong
5 Xiu, Naihua
5 Yuan, Rong
5 Zhao, Xiao-Qiang
4 Bai, Yanqin
4 Bi, Ning
4 Bo, Wei-Jian
4 Chang, Huibin
4 Cui, Ying
4 De Simone, Valentina
4 Dehghan Takht Fooladi, Mehdi
4 Du, Lijun
4 El Smaily, Mohammad Ibrahim
4 Eyink, Gregory L.
4 Guo, Hongjun
4 Guo, Jong-Shenq
4 Han, Weimin
4 He, Junfeng
4 Hou, Xiaojie
4 Hsu, Cheng-Hsiung
4 Hupkes, Hermen Jan
4 Jerrard, Robert Leon
4 Kirane, Mokhtar
4 Kurzke, Matthias W.
4 Lam, King-Yeung
4 Li, Qian
4 Lin, Chikun
4 Liu, NaiWei
4 Liu, Tianxiang
4 Liu, Yuyu
4 Nara, Mitsunori
4 Ni, Guoxi
4 Pham Dinh Tao
4 Qi, Houduo
4 Tran Vinh Hung
4 Wang, Chao
4 Wang, Mingxin
...and 1,352 more Authors
all top 5

Cited in 239 Serials

61 Journal of Differential Equations
31 Journal of Scientific Computing
30 Archive for Rational Mechanics and Analysis
29 Physica D
23 SIAM Journal on Imaging Sciences
22 Journal of Dynamics and Differential Equations
21 Inverse Problems
17 Discrete and Continuous Dynamical Systems
16 Journal of Computational Physics
16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
16 Computational Optimization and Applications
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 Computers & Mathematics with Applications
14 SIAM Journal on Optimization
14 SIAM Journal on Scientific Computing
14 Nonlinear Analysis. Real World Applications
13 Journal of Computational and Applied Mathematics
13 Mathematical Programming. Series A. Series B
13 Discrete and Continuous Dynamical Systems. Series B
12 SIAM Journal on Mathematical Analysis
11 Journal of Mathematical Analysis and Applications
11 Journal of Functional Analysis
11 Transactions of the American Mathematical Society
11 Journal of Global Optimization
11 Communications in Nonlinear Science and Numerical Simulation
10 Communications on Pure and Applied Mathematics
10 Communications in Partial Differential Equations
10 Inverse Problems and Imaging
10 Science China. Mathematics
9 Communications in Mathematical Physics
9 Calculus of Variations and Partial Differential Equations
8 Journal of Mathematical Biology
8 Journal of Mathematical Physics
8 Applied Mathematics and Computation
8 Applied Numerical Mathematics
8 Applied and Computational Harmonic Analysis
7 Journal of Statistical Physics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Proceedings of the American Mathematical Society
7 Advances in Computational Mathematics
7 Multiscale Modeling & Simulation
6 Mathematical Methods in the Applied Sciences
6 Advances in Mathematics
6 Physics of Fluids
6 Chaos
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Analysis and Applications (Singapore)
5 Computer Methods in Applied Mechanics and Engineering
5 Journal of Optimization Theory and Applications
5 Mathematische Annalen
5 Memoirs of the American Mathematical Society
5 Neural Networks
5 Annals of Operations Research
5 SIAM Journal on Applied Mathematics
5 Journal of Machine Learning Research (JMLR)
5 Communications on Pure and Applied Analysis
5 Optimization Letters
5 SIAM/ASA Journal on Uncertainty Quantification
4 Applicable Analysis
4 Journal of Fluid Mechanics
4 Nonlinearity
4 Physica A
4 Bulletin of Mathematical Biology
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Circuits, Systems, and Signal Processing
4 Optimization
4 European Journal of Applied Mathematics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Numerical Algorithms
4 NoDEA. Nonlinear Differential Equations and Applications
4 Combustion Theory and Modelling
4 Communications in Contemporary Mathematics
4 Journal of Applied Mathematics and Computing
4 SIAM Journal on Applied Dynamical Systems
4 Journal of Industrial and Management Optimization
4 Discrete and Continuous Dynamical Systems. Series S
4 Research in the Mathematical Sciences
3 Computer Physics Communications
3 Quarterly of Applied Mathematics
3 SIAM Journal on Control and Optimization
3 SIAM Journal on Numerical Analysis
3 Applied Mathematics Letters
3 Journal of the American Mathematical Society
3 Applied Mathematical Modelling
3 Journal of Nonlinear Science
3 Computational and Applied Mathematics
3 Journal of Inverse and Ill-Posed Problems
3 Electronic Journal of Probability
3 Mathematical Problems in Engineering
3 Optimization Methods & Software
3 Discrete Dynamics in Nature and Society
3 Mathematical Biosciences and Engineering
3 Journal of Physics A: Mathematical and Theoretical
3 Mathematical Modelling of Natural Phenomena
3 Journal of Applied Analysis and Computation
2 Wave Motion
2 BIT
2 Information Sciences
2 Mathematics of Operations Research
...and 139 more Serials
all top 5

Cited in 38 Fields

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

Citations by Year