Optimal piecewise linear data compression for solutions of parametrized partial differential equations.
Thomas DanielFabien CasenaveNissrine AkkariDavid RyckelynckPublished in: CoRR (2021)
Keyphrases
- piecewise linear
- data compression
- partial differential equations
- boundary value problem
- numerical algorithms
- dynamic programming
- numerical solution
- data reduction
- anisotropic diffusion
- compression algorithm
- nonlinear partial differential equations
- image processing
- differential equations
- image denoising
- level set
- numerical methods
- optimal solution
- multiscale
- compression ratio
- image enhancement
- supervised learning
- lossless data compression
- computer vision
- support vector machine
- high dimensional
- training set
- compressed data