5 papers
On the Spin Symmetry of Fractional-Occupation Mean-Field Approaches
Md Rafi Ul Azam, Rachel Campbell, Kay Carter-Fenk
We identify a spin-symmetry dilemma rooted in the representability problem of fractional-occupation densities, which break spin symmetry even for restricted orbital references. We…
NEMSim: Learning Control-Conditioned Multi-Event Physical Dynamics via Executable Event-Mechanism Priors
Junsong Yu, Junjie Xie, Pengwei Liu +1
High-fidelity simulation of control-conditioned multi-event physical systems is computationally expensive, especially across broad control spaces and long trajectories. In these sy…
Discovering Physical Directions in Weight Space: Composing Neural PDE Experts
Pengkai Wang, Pengwei Liu, Yuanyi Wang +7
Recent advances in neural operators have made partial differential equation (PDE) surrogate modeling increasingly scalable and transferable through large-scale pretraining and in-c…
An Efficient Graph-Transformer Operator for Learning Physical Dynamics with Manifolds Embedding
Pengwei Liu, Xingyu Ren, Pengkai Wang +6
Accurate and efficient physical simulations are essential in science and engineering, yet traditional numerical solvers face significant challenges in computational cost when handl…
DGNN: A Neural PDE Solver Induced by Discontinuous Galerkin Methods
Guanyu Chen, Shengze Xu, Dong Ni +1
We propose a general framework for the Discontinuous Galerkin-induced Neural Network (DGNN), inspired by the Interior Penalty Discontinuous Galerkin Method (IPDGM). In this approac…