1 citations · 2 across the 3 of their papers we have counts for
4 papers
L1-based reduced over collocation and hyper reduction for steady state and time-dependent nonlinear equations
Yanlai Chen, Lijie Ji, Akil Narayan +1
The task of repeatedly solving parametrized partial differential equations (pPDEs) in, e.g. optimization or interactive applications, makes it imperative to design highly efficient…
Adaptive greedy algorithms based on parameter-domain decomposition and reconstruction for the reduced basis method
Jiahua Jiang, Yanlai Chen
The reduced basis method (RBM) empowers repeated and rapid evaluation of parametrized partial differential equations through an offline-online decomposition, a.k.a. a learning-exec…
L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations
Yanlai Chen, Sigal Gottlieb, Lijie Ji +2
The onerous task of repeatedly resolving certain parametrized partial differential equations (pPDEs) in, e.g. the optimization context, makes it imperative to design vastly more ef…
Reduced Basis Decomposition: a Certified and Fast Lossy Data Compression Algorithm
Yanlai Chen
Dimension reduction is often needed in the area of data mining. The goal of these methods is to map the given high-dimensional data into a low-dimensional space preserving certain…