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- Steven J. Ruuth, Barry Merriman, Jack Xin, Stanley Osher
- J. Nonlinear Science
- 2001

In previous work, we introduced a simple algorithm for producing motion by mean curvature of a surface, in which the motion is generated by alternately diiusing and renormalizing a characteristicâ€¦ (More)

- Ernie Esser, Michael MÃ¶ller, Stanley Osher, Guillermo Sapiro, Jack Xin
- IEEE Transactions on Image Processing
- 2012

A collaborative convex framework for factoring a data matrix <i>X</i> into a nonnegative product <i>AS</i> , with a sparse coefficient matrix <i>S</i>, is proposed. We restrict the columns of theâ€¦ (More)

- Penghang Yin, Yifei Lou, Qi He, Jack Xin
- SIAM J. Scientific Computing
- 2015

We study minimization of the difference of l1 and l2 norms as a non-convex and Lipschitz continuous metric for solving constrained and unconstrained compressed sensing problems. We establish exactâ€¦ (More)

- Jack Xin
- SIAM Review
- 2000

- Yongsam Kim, Jack Xin
- Multiscale Modeling & Simulation
- 2005

A two-dimensional cochlear model is presented, which couples the classical second order partial differential equations of the basilar membrane (BM) with a discrete feed-forward (FF) outer hair cellâ€¦ (More)

- M Drew LaMar, Yingyong Qi, Jack Xin
- The Journal of the Acoustical Society of America
- 2003

Vocal fold (VF) motion is a fundamental process in voice production, and is also a challenging problem for numerical computation because the VF dynamics depend on nonlinear coupling of air flow withâ€¦ (More)

- Yifei Lou, Tieyong Zeng, Stanley Osher, Jack Xin
- SIAM J. Imaging Sciences
- 2015

We propose a weighted difference of anisotropic and isotropic total variation (TV) as a regularization for image processing tasks, based on the well-known TV model and natural image statistics. Dueâ€¦ (More)

- Jack Xin, Yingyong Qi, Li Deng
- 2003

A nonlinear, nonlocal cochlear model of the transmission line type is studied in order to capture the multitone interactions and resulting tonal suppression effects. The model can serve as a moduleâ€¦ (More)

- James Nolen, Jack Xin
- 2007

We establish the variational principle of Kolmogorov-PetrovskyPiskunov (KPP) front speeds in a one dimensional random drift which is a mean zero stationary ergodic process with mixing property andâ€¦ (More)

- Jack Xin, Dongxiao Zhang
- 1998

We consider a one-dimensional model biodegradation system consisting of two reactionâ€“advection equations for nutrient and pollutant concentrations and a rate equation for biomass. The hydrodynamicâ€¦ (More)