9 citations · 20 across the 6 of their papers we have counts for
6 papers
Physics-informed Gaussian Process Regression in Solving Eigenvalue Problem of Linear Operators
Tianming Bai, Jiannan Yang
Applying Physics-Informed Gaussian Process Regression to the eigenvalue problem poses a fundamental challenge, where the null source term results in a trivia…
Derivative based global sensitivity analysis and its entropic link
Jiannan Yang
Variance-based Sobol' sensitivity is one of the most well-known measures in global sensitivity analysis (GSA). However, uncertainties with certain distributions, such as highly ske…
A general framework for probabilistic sensitivity analysis with respect to distribution parameters
Jiannan Yang
Probabilistic sensitivity analysis identifies the influential uncertain input to guide decision-making. We propose a general sensitivity framework with respect to the input distrib…
An information upper bound for probability sensitivity
Jiannan Yang
Uncertain input of a mathematical model induces uncertainties in the output and probabilistic sensitivity analysis identifies the influential inputs to guide decision-making. Of pr…
Decision-oriented two-parameter Fisher information sensitivity using symplectic decomposition
Jiannan Yang
The eigenvalues and eigenvectors of the Fisher information matrix (FIM) can reveal the most and least sensitive directions of a system and it has wide application across science an…
Making problems tractable on big data via preprocessing with polylog-size output
Jiannan Yang, Hanpin Wang, Yongzhi Cao
To provide a dichotomy between those queries that can be made feasible on big data after appropriate preprocessing and those for which preprocessing does not help, Fan et al. devel…