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аналитика - Sparse Cholesky Factorization Algorithm
Sparse Cholesky Factorization for Solving Nonlinear PDEs with Gaussian Processes
Efficiently solve nonlinear PDEs using near-linear complexity algorithm with sparse Cholesky factorization.
Sparse Cholesky Factorization for Solving Nonlinear PDEs with Gaussian Processes
Efficient algorithm for solving nonlinear PDEs using sparse Cholesky factorization with Gaussian processes.
Sparse Cholesky Factorization for Solving Nonlinear PDEs with Gaussian Processes
The authors present a near-linear complexity algorithm for working with kernel matrices, transforming the solving of general nonlinear PDEs into solving quadratic optimization problems. They rigorously justify the near-sparsity of the Cholesky factor by connecting it to GP regression and exponential decay of basis functions.
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