Rethinking the diffusion models for numerical tabular data imputation from the perspective of wasserstein gradient flow

Z Chen, H Li, F Wang, O Zhang, H Xu, X Jiang… - arXiv preprint arXiv …, 2024 - arxiv.org
Diffusion models (DMs) have gained attention in Missing Data Imputation (MDI), but there
remain two long-neglected issues to be addressed:(1). Inaccurate Imputation, which arises …

[PDF][PDF] Rethinking the diffusion models for missing data imputation: A gradient flow perspective

Z Chen, H Li, F Wang, O Zhang, H Xu, X Jiang… - The Thirty-eighth …, 2024 - neurips.cc
幻灯片 1 Page 1 NeurIPS 2024, Main Track, Submission ID: #1850 Rethinking the Diffusion
Models for Missing Data Imputation: A Gradient Flow Perspective Presenter:Zhichao Chen …

Efficient Prior Calibration From Indirect Data

OD Akyildiz, M Girolami, AM Stuart… - arXiv preprint arXiv …, 2024 - arxiv.org
Bayesian inversion is central to the quantification of uncertainty within problems arising from
numerous applications in science and engineering. To formulate the approach, four …

Dynamic Conditional Optimal Transport through Simulation-Free Flows

G Kerrigan, G Migliorini, P Smyth - arXiv preprint arXiv:2404.04240, 2024 - arxiv.org
We study the geometry of conditional optimal transport (COT) and prove a dynamical
formulation which generalizes the Benamou-Brenier Theorem. With these tools, we propose …

Jackpot: Approximating uncertainty domains with adversarial manifolds

N Munier, E Soubies, P Weiss - 2024 - hal.science
Given a forward mapping Φ: RN→ RM, the region {x∈ RN,∥ Φ (x)-y∥ 2≤ ε}, where y∈ RM
is a given vector and ε≥ 0 is a perturbation amplitude, represents the set of all possible …

Paired Wasserstein Autoencoders for Conditional Sampling

M Piening, M Chung - arXiv preprint arXiv:2412.07586, 2024 - arxiv.org
Wasserstein distances greatly influenced and coined various types of generative neural
network models. Wasserstein autoencoders are particularly notable for their mathematical …

An Eulerian approach to regularized JKO scheme with low-rank tensor decompositions for Bayesian inversion

V Aksenov, M Eigel - arXiv preprint arXiv:2411.12430, 2024 - arxiv.org
The possibility of using the Eulerian discretization for the problem of modelling high-
dimensional distributions and sampling, is studied. The problem is posed as a minimization …

Conditional Generative Models for Contrast-Enhanced Synthesis of T1w and T1 Maps in Brain MRI

M Piening, F Altekrüger, G Steidl, E Hattingen… - arXiv preprint arXiv …, 2024 - arxiv.org
Contrast enhancement by Gadolinium-based contrast agents (GBCAs) is a vital tool for
tumor diagnosis in neuroradiology. Based on brain MRI scans of glioblastoma before and …