18 citations · 20 across the 6 of their papers we have counts for
6 papers
On the uncertainty analysis of the data-enabled physics-informed neural network for solving neutron diffusion eigenvalue problem
Yu Yang, Helin Gong, Qihong Yang +3
In practical engineering experiments, the data obtained through detectors are inevitably noisy. For the already proposed data-enabled physics-informed neural network (DEPINN) \cite…
A data-enabled physics-informed neural network with comprehensive numerical study on solving neutron diffusion eigenvalue problems
Yu Yang, Helin Gong, Shiquan Zhang +4
We present a data-enabled physics-informed neural network (DEPINN) with comprehensive numerical study for solving industrial scale neutron diffusion eigenvalue problems (NDEPs). In…
PBDW method for state estimation: error analysis for noisy data and nonlinear formulation
Helin Gong, Yvon Maday, Olga Mula +1
We present an error analysis and further numerical investigations of the Parameterized-Background Data-Weak (PBDW) formulation to variational Data Assimilation (state estimation),…
Proving a conjecture on chromatic polynomials by counting the number of acyclic orientations
Fengming Dong, Jun Ge, Helin Gong +3
The chromatic polynomial of a graph of order can be expressed as , where is interpreted as the number of broken-cycle…
Several extreme coefficients of the Tutte polynomial of graphs
Helin Gong, Mengchen Li, Xian'an Jin
Let be the coefficient of in the Tutte polynomial of a connected bridgeless and loopless graph with order and size . It is trivial that $t_…
A formula for the number of the spanning trees of line graphs
Helin Gong, Xian'an Jin
Let be a loopless graph and be the set of all spanning trees of . Let be the line graph of the graph and be the number of spannin…