Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: gLaSDI: Parametric Physics-informed Greedy Latent Space Dynamics
  Identification   A parametric adaptive physics-informed greedy Latent Space Dynamics
Identification (gLaSDI) method is proposed for accurate, efficient, and robust
data-driven reduced-order modeling of high-dimensional nonlinear dynamical
systems. In the proposed gLaSDI framework, an autoencoder discovers intrinsic
nonlinear latent representations of high-dimensional data, while dynamics
identification (DI) models capture local latent-space dynamics. An interactive
training algorithm is adopted for the autoencoder and local DI models, which
enables identification of simple latent-space dynamics and enhances accuracy
and efficiency of data-driven reduced-order modeling. To maximize and
accelerate the exploration of the parameter space for the optimal model
performance, an adaptive greedy sampling algorithm integrated with a
physics-informed residual-based error indicator and random-subset evaluation is
introduced to search for the optimal training samples on-the-fly. Further, to
exploit local latent-space dynamics captured by the local DI models for an
improved modeling accuracy with a minimum number of local DI models in the
parameter space, an efficient k-nearest neighbor convex interpolation scheme is
employed. The effectiveness of the proposed framework is demonstrated by
modeling various nonlinear dynamical problems, including Burgers equations,
nonlinear heat conduction, and radial advection. The proposed adaptive greedy
sampling outperforms the conventional predefined uniform sampling in terms of
accuracy. Compared with the high-fidelity models, gLaSDI achieves 66 to 4,417x
speed-up with 1 to 5% relative errors.

15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an