Browsing by Author "Khoo, Y"
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Efficient construction of tensor ring representations from sampling
Khoo, Y; Lu, J; Ying, L (2017-11-30)In this note we propose an efficient method to compress a high dimensional function into a tensor ring format, based on alternating least-squares (ALS). Since the function has size exponential in $d$ where $d$ is the number ... -
Solving parametric PDE problems with artificial neural networks
Khoo, Y; Lu, J; Ying, L (2017-11-30)The curse of dimensionality is commonly encountered in numerical partial differential equations (PDE), especially when uncertainties have to be modeled into the equations as random coefficients. However, very often ...