We solve high-dimensional steady-state Fokker-Planck equations on the whole space by
applying tensor neural networks. The tensor networks are a tensor product of one …

A predictive, point-cloud tracer is presented that determines with a quantified uncertainty the
Lagrangian motion of a group of point-particles within a finite region. The tracer assumes a …

This paper studies the transient response of vibration-based energy harvesting (VEH)
systems characterized by multi-well potential functions exposed to Poisson white noise …

The deterioration of engineering systems might reduce the system reliability and prompt
maintenance operations that may disrupt the ability of the systems to provide regular service …

This paper deals with the problem of efficient sampling from a stochastic differential
equation, given the drift function and the diffusion matrix. The proposed approach leverages …

A novel constrained optimization-oriented exponential-polynomial-closure (CO-EPC)
method is developed to investigate the ship roll-motion with non-smooth damping and …

The optimization-oriented exponential-polynomial-closure (OEPC) method is extended and
investigated to analyze stochastic nonlinear oscillators under multiple excitations, with the …

This paper studies a quantum simulation technique for solving the Fokker-Planck equation.
Traditional semi-discretization methods often fail to preserve the underlying Hamiltonian …

This paper presents a general formulation for developing physics-based probabilistic
models and explains their implementation in the reliability analysis of bridges and the …

Landslide susceptibility mapping (LSM) predicts the possibility of future landslides and is
critical for risk assessment, resource allocation, and land-use planning. To promote the …