Search Results for author: Fengyi Li

Found 7 papers, 1 papers with code

Sharp detection of low-dimensional structure in probability measures via dimensional logarithmic Sobolev inequalities

no code implementations18 Jun 2024 Matthew T. C. Li, Tiangang Cui, Fengyi Li, Youssef Marzouk, Olivier Zahm

Identifying low-dimensional structure in high-dimensional probability measures is an essential pre-processing step for efficient sampling.

Dimensionality Reduction

Nonlinear Bayesian optimal experimental design using logarithmic Sobolev inequalities

no code implementations23 Feb 2024 Fengyi Li, Ayoub Belhadji, Youssef Marzouk

We study the problem of selecting $k$ experiments from a larger candidate pool, where the goal is to maximize mutual information (MI) between the selected subset and the underlying parameters.

Combinatorial Optimization Experimental Design

Stable generative modeling using Schrödinger bridges

no code implementations9 Jan 2024 Georg Gottwald, Fengyi Li, Youssef Marzouk, Sebastian Reich

Schr\"odinger bridges over an appropriate reversible reference process are used to approximate the conditional transition probability from the available training samples, which is then implemented in a discrete-time reversible Langevin sampler to generate new samples.

Bayesian Inference

Diffusion map particle systems for generative modeling

no code implementations1 Apr 2023 Fengyi Li, Youssef Marzouk

We propose a novel diffusion map particle system (DMPS) for generative modeling, based on diffusion maps and Laplacian-adjusted Wasserstein gradient descent (LAWGD).

Bayesian model calibration for block copolymer self-assembly: Likelihood-free inference and expected information gain computation via measure transport

no code implementations22 Jun 2022 Ricardo Baptista, Lianghao Cao, Joshua Chen, Omar Ghattas, Fengyi Li, Youssef M. Marzouk, J. Tinsley Oden

We tackle this challenging Bayesian inference problem using a likelihood-free approach based on measure transport together with the construction of summary statistics for the image data.

Bayesian Inference Informativeness

Automatic Fine-grained Glomerular Lesion Recognition in Kidney Pathology

no code implementations11 Mar 2022 Yang Nan, Fengyi Li, Peng Tang, Guyue Zhang, Caihong Zeng, Guotong Xie, Zhihong Liu, Guang Yang

Recognition of glomeruli lesions is the key for diagnosis and treatment planning in kidney pathology; however, the coexisting glomerular structures such as mesangial regions exacerbate the difficulties of this task.

Fine-Grained Image Classification whole slide images

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