4 papers
McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation
Jiwei Jia, Xinliang Liu, Juntao Wang +1
Solving heterogeneous Helmholtz equations at high wavenumbers remains challenging because the discretized operator is indefinite, pollution degrades phase accuracy, and scalar coar…
Neural Preconditioned Born Series: A Metric-Matched Framework for Learning-based Preconditioners
Juntao Wang, Jiwei Jia, Xinliang Liu
High-frequency Helmholtz problems in heterogeneous media remain challenging for both classical iterative methods and end-to-end neural PDE solvers. We propose Neural Preconditioned…
Optimality and annealing path planning of dynamical analog solvers
Shu Zhou, K. Y. Michael Wong, Juntao Wang +3
Recently proposed analog solvers based on dynamical systems, such as Ising machines, are promising platforms for large-scale combinatorial optimization. Yet, given the heuristic na…
Phase analysis of Ising machines and their implications on optimization
Shu Zhou, K. Y. Michael Wong, Juntao Wang +3
Ising machines, which are dynamical systems designed to operate in a parallel and iterative manner, have emerged as a new paradigm for solving combinatorial optimization problems.…