From the 1 of 9 linked papers with an AI index.
9 papers
Windowed thinning and query complexity for the bouncy particle and Zigzag samplers
Jianfeng Lu, Yinchen Luo
The paper analyzes an exact simulation technique called windowed thinning for the bouncy particle and Zigzag samplers, providing bounds on the number of gradient queries needed to…
Long-time reverse transportation inequalities for non-globally-dissipative Langevin dynamics
Jianfeng Lu, Yuliang Wang
We establish a dimension-free, uniform-in-time reverse transportation inequality for Langevin dynamics with non-convex potentials. This inequality controls the Rényi divergence of…
Guidance for twisted particle filter: a continuous-time perspective
Jianfeng Lu, Yuliang Wang
The particle filter (PF), also known as sequential Monte Carlo (SMC), approximates high-dimensional probability distributions and their normalizing constants in the discrete-time s…
Quantum Fisher information matrix via its classical counterpart from random measurements
Jianfeng Lu, Kecen Sha
Preconditioning with the quantum Fisher information matrix (QFIM) is a popular approach in quantum variational algorithms. Yet the QFIM is costly to obtain directly, usually requir…
Approximating Young Measures With Deep Neural Networks
Rayehe Karimi Mahabadi, Jianfeng Lu, Hossein Salahshoor
Parametrized measures (or Young measures) enable to reformulate non-convex variational problems as convex problems at the cost of enlarging the search space from space of functions…
Quantitative Hypocoercivity and Lifting of Classical and Quantum Dynamics
Jianfeng Lu
We consider quantitative convergence analysis for hypocoercive dynamics such as Langevin and Lindblad equations describing classical and quantum open systems. Our goal is to provid…