Regularising inverse problems with generative machine learning models

MAG Duff, NDF Campbell, MJ Ehrhardt - Journal of Mathematical Imaging …, 2024 - Springer
Deep neural network approaches to inverse imaging problems have produced impressive
results in the last few years. In this survey paper, we consider the use of generative models …

Can push-forward generative models fit multimodal distributions?

A Salmona, V De Bortoli, J Delon… - Advances in Neural …, 2022 - proceedings.neurips.cc
Many generative models synthesize data by transforming a standard Gaussian random
variable using a deterministic neural network. Among these models are the Variational …

A simple approach to improve single-model deep uncertainty via distance-awareness

JZ Liu, S Padhy, J Ren, Z Lin, Y Wen, G Jerfel… - Journal of Machine …, 2023 - jmlr.org
Accurate uncertainty quantification is a major challenge in deep learning, as neural
networks can make overconfident errors and assign high confidence predictions to out-of …

Trackflow: Multi-object tracking with normalizing flows

G Mancusi, A Panariello, A Porrello… - Proceedings of the …, 2023 - openaccess.thecvf.com
The field of multi-object tracking has recently seen a renewed interest in the good old
schema of tracking-by-detection, as its simplicity and strong priors spare it from the complex …

Relaxing bijectivity constraints with continuously indexed normalising flows

R Cornish, A Caterini… - … on machine learning, 2020 - proceedings.mlr.press
We show that normalising flows become pathological when used to model targets whose
supports have complicated topologies. In this scenario, we prove that a flow must become …

Convex potential flows: Universal probability distributions with optimal transport and convex optimization

CW Huang, RTQ Chen, C Tsirigotis… - arXiv preprint arXiv …, 2020 - arxiv.org
Flow-based models are powerful tools for designing probabilistic models with tractable
density. This paper introduces Convex Potential Flows (CP-Flow), a natural and efficient …

Learning from small data sets: Patch‐based regularizers in inverse problems for image reconstruction

M Piening, F Altekrüger, J Hertrich… - GAMM …, 2024 - Wiley Online Library
The solution of inverse problems is of fundamental interest in medical and astronomical
imaging, geophysics as well as engineering and life sciences. Recent advances were made …

Flow-based self-supervised density estimation for anomalous sound detection

K Dohi, T Endo, H Purohit, R Tanabe… - ICASSP 2021-2021 …, 2021 - ieeexplore.ieee.org
To develop a machine sound monitoring system, a method for detecting anomalous sound is
proposed. Exact likelihood estimation using Normalizing Flows is a promising technique for …

Universality laws for gaussian mixtures in generalized linear models

Y Dandi, L Stephan, F Krzakala… - Advances in …, 2024 - proceedings.neurips.cc
A recent line of work in high-dimensional statistics working under the Gaussian mixture
hypothesis has led to a number of results in the context of empirical risk minimization …

Conditional invertible neural networks for medical imaging

A Denker, M Schmidt, J Leuschner, P Maass - Journal of Imaging, 2021 - mdpi.com
Over recent years, deep learning methods have become an increasingly popular choice for
solving tasks from the field of inverse problems. Many of these new data-driven methods …