4 citations · 12 across the 8 of their papers we have counts for
9 papers
Pathwise Alignment for Collaborative Filtering: Bilateral Conditional Flow Regularization
Zhiwei Li, Guodong Long, Chengqi Zhang +1
Collaborative filtering predicts user-item interactions from implicit feedback. We focus on matrix factorization (MF) trained with the Bayesian Personalized Ranking loss. This loss…
Global theory for NLS in the weighted spaces I: finite pseudo conformal energy
Yujin Guo, Jia Shen, Changping Yang
We intend to prove that for defocusing nonlinear Schrödinger equations, solutions with finite pseudo conformal energy must be global and scatter. This fact is first proved by Bourg…
Large global solutions for energy-critical nonlinear Schrödinger equation
Ruobing Bai, Jia Shen, Yifei Wu
In this work, we consider the 3D defocusing energy-critical nonlinear Schrödinger equation . Applying the ou…
Almost sure scattering for the nonradial energy-critical NLS with arbitrary regularity in 3D and 4D cases
Jia Shen, Avy Soffer, Yifei Wu
In this paper, we study the defocusing energy-critical nonlinear Schrödinger equations When , we prove the almost sure scat…
Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation
Jia Shen, Avy Soffer, Yifei Wu
We study the random data problem for 3D, defocusing, cubic nonlinear Schrödinger equation in with . First, we prove that the almost sure local wel…
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials
Xing Cheng, Chang-Yu Guo, Zihua Guo +2
In this paper, we consider the following three dimensional defocusing cubic nonlinear Schrödinger equation (NLS) with partial harmonic potential \begin{equation*}\tag{NLS} i\partia…
Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation
Jia Shen, Yifei Wu
In this paper, we study the global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation. Recently, Dodson [arXiv:2004.09618] studied the global well-posedness…
Scattering for the quadratic Klein-Gordon equations
Zihua Guo, Jia Shen
We study the scattering problems for the quadratic Klein-Gordon equations with radial initial data in the energy space. For 3D, we prove small data scattering, and for 4D, we prove…
Scattering below the ground state for the 2D non-linear Schrödinger and Klein-Gordon equations revisited
Zihua Guo, Jia Shen
We revisit the scattering problems for the 2D mass super-critical Schrödinger and Klein-Gordon equations with radial data below the ground state in the energy space. We give an alt…