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Modern deep generative models can now produce high-quality synthetic samples that are often indistinguishable from real training data. A growing body of research aims to understand why recent methods, such as diffusion and flow matching…

Machine Learning · Computer Science 2025-12-03 Quentin Bertrand , Anne Gagneux , Mathurin Massias , Rémi Emonet

Rectified flow is a generative model that learns smooth transport mappings between two distributions through an ordinary differential equation (ODE). Unlike diffusion-based generative models, which require costly numerical integration of a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Shin Seong Kim , Mingi Kwon , Jaeseok Jeong , Youngjung Uh

Flow models have rapidly become the go-to method for training and deploying large-scale generators, owing their success to inference-time flexibility via adjustable integration steps. A crucial ingredient in flow training is the choice of…

Joint machine learning models that allow synthesizing and classifying data often offer uneven performance between those tasks or are unstable to train. In this work, we depart from a set of empirical observations that indicate the…

Machine Learning · Computer Science 2023-04-06 Kamil Deja , Tomasz Trzcinski , Jakub M. Tomczak

Normalising Flows are non-parametric statistical models characterised by their dual capabilities of density estimation and generation. This duality requires an inherently invertible architecture. However, the requirement of invertibility…

Machine Learning · Statistics 2024-06-28 Eshant English , Matthias Kirchler , Christoph Lippert

Wavelet transformation stands as a cornerstone in modern data analysis and signal processing. Its mathematical essence is an invertible transformation that discerns slow patterns from fast ones in the frequency domain. Such an invertible…

Machine Learning · Computer Science 2022-01-28 Shuo-Hui Li

Deep generative models (DGM) are neural networks with many hidden layers trained to approximate complicated, high-dimensional probability distributions using a large number of samples. When trained successfully, we can use the DGMs to…

Machine Learning · Computer Science 2021-04-13 Lars Ruthotto , Eldad Haber

Diffusion models recently developed for generative AI tasks can produce high-quality samples while still maintaining diversity among samples to promote mode coverage, providing a promising path for learning stochastic closure models.…

Machine Learning · Computer Science 2026-02-20 Xinghao Dong , Huchen Yang , Jin-long Wu

We present STARFlow, a scalable generative model based on normalizing flows that achieves strong performance in high-resolution image synthesis. The core of STARFlow is Transformer Autoregressive Flow (TARFlow), which combines the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Jiatao Gu , Tianrong Chen , David Berthelot , Huangjie Zheng , Yuyang Wang , Ruixiang Zhang , Laurent Dinh , Miguel Angel Bautista , Josh Susskind , Shuangfei Zhai

The Transformer architecture has achieved significant success in natural language processing, motivating its adaptation to computer vision tasks. Unlike convolutional neural networks, vision transformers inherently capture long-range…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Zherui Zhang , Rongtao Xu , Jie Zhou , Changwei Wang , Xingtian Pei , Wenhao Xu , Jiguang Zhang , Li Guo , Longxiang Gao , Wenbo Xu , Shibiao Xu

An open secret in contemporary machine learning is that many models work beautifully on standard benchmarks but fail to generalize outside the lab. This has been attributed to biased training data, which provide poor coverage over real…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Ali Jahanian , Lucy Chai , Phillip Isola

Flow-based deep generative models learn data distributions by transforming a simple base distribution into a complex distribution via a set of invertible transformations. Due to the invertibility, such models can score unseen data samples…

Machine Learning · Computer Science 2019-06-18 Maximilian Schmidt , Marko Simic

Recent studies suggest utilizing generative models instead of traditional auto-regressive algorithms for time series forecasting (TSF) tasks. These non-auto-regressive approaches involving different generative methods, including GAN,…

Machine Learning · Computer Science 2025-03-19 Jiangxuan Long , Zhao Song , Chiwun Yang

Neural networks currently dominate the machine learning community and they do so for good reasons. Their accuracy on complex tasks such as image classification is unrivaled at the moment and with recent improvements they are reasonably easy…

Machine Learning · Computer Science 2019-01-21 Sascha Saralajew , Lars Holdijk , Maike Rees , Thomas Villmann

Generalizing machine learning (ML) models for network traffic dynamics tends to be considered a lost cause. Hence for every new task, we design new models and train them on model-specific datasets closely mimicking the deployment…

Networking and Internet Architecture · Computer Science 2022-10-25 Alexander Dietmüller , Siddhant Ray , Romain Jacob , Laurent Vanbever

Modern continuous-time generative models typically induce \emph{V-shaped} flows: each sample travels independently along a nearly straight trajectory from the prior to the data. Although effective, this independent movement overlooks the…

Machine Learning · Computer Science 2026-02-05 Arip Asadulaev , Semyon Semenov , Abduragim Shtanchaev , Eric Moulines , Fakhri Karray , Martin Takac

Generative flows are promising tractable models for density modeling that define probabilistic distributions with invertible transformations. However, tractability imposes architectural constraints on generative flows, making them less…

Machine Learning · Statistics 2020-07-23 Jianfei Chen , Cheng Lu , Biqi Chenli , Jun Zhu , Tian Tian

Normalizing flows are a powerful tool for generative modelling, density estimation and posterior reconstruction in Bayesian inverse problems. In this paper, we introduce proximal residual flows, a new architecture of normalizing flows.…

Machine Learning · Computer Science 2023-05-19 Johannes Hertrich

Explicit density learners are becoming an increasingly popular technique for generative models because of their ability to better model probability distributions. They have advantages over Generative Adversarial Networks due to their…

Machine Learning · Computer Science 2025-06-27 Steven Walton , Valeriy Klyukin , Maksim Artemev , Denis Derkach , Nikita Orlov , Humphrey Shi

Normalizing flows attempt to model an arbitrary probability distribution through a set of invertible mappings. These transformations are required to achieve a tractable Jacobian determinant that can be used in high-dimensional scenarios.…

Machine Learning · Statistics 2020-04-14 Hadi M. Dolatabadi , Sarah Erfani , Christopher Leckie
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