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Flow-based generative models synthesize data by integrating a learned velocity field from a reference distribution to the target data distribution. Prior work has focused on endpoint metrics (e.g., fidelity, likelihood, perceptual quality)…

Machine Learning · Computer Science 2025-11-25 Ziyun Li , Ben Dai , Huancheng Hu , Henrik Boström , Soon Hoe Lim

Many real-world applications of flow-based generative models desire a diverse set of samples that cover multiple modes of the target distribution. However, the predominant approach for obtaining diverse sets is not sample-efficient, as it…

Machine Learning · Computer Science 2025-04-11 Mashrur M. Morshed , Vishnu Boddeti

This paper introduces a novel approach to embed flow-based models with hierarchical structures. The proposed framework is named Variational Flow Graphical (VFG) Model. VFGs learn the representation of high dimensional data via a…

Machine Learning · Statistics 2022-07-07 Shaogang Ren , Belhal Karimi , Dingcheng Li , Ping Li

Generative flow networks (GFlowNets) are a family of algorithms that learn a generative policy to sample discrete objects $x$ with non-negative reward $R(x)$. Learning objectives guarantee the GFlowNet samples $x$ from the target…

Machine Learning · Computer Science 2023-05-15 Max W. Shen , Emmanuel Bengio , Ehsan Hajiramezanali , Andreas Loukas , Kyunghyun Cho , Tommaso Biancalani

Diffusion- and flow-based models have emerged as state-of-the-art generative modeling approaches, but they require many sampling steps. Consistency models can distill these models into efficient one-step generators; however, unlike flow-…

Computer Vision and Pattern Recognition · Computer Science 2025-06-18 Amirmojtaba Sabour , Sanja Fidler , Karsten Kreis

In the past few years, deep generative models, such as generative adversarial networks \autocite{GAN}, variational autoencoders \autocite{vaepaper}, and their variants, have seen wide adoption for the task of modelling complex data…

Machine Learning · Statistics 2020-09-02 Guilherme G. P. Freitas Pires , Mário A. T. Figueiredo

Flow-based models have proven successful for time-series generation, particularly when defined in lower-dimensional latent spaces that enable efficient sampling. However, how to design latent representations with desirable equivariance…

Machine Learning · Computer Science 2026-02-02 Camilo Carvajal Reyes , Felipe Tobar

We provide a general framework for learning diffusion bridges that transport prior to target distributions. It includes existing diffusion models for generative modeling, but also underdamped versions with degenerate diffusion matrices,…

Machine Learning · Computer Science 2025-08-14 Denis Blessing , Julius Berner , Lorenz Richter , Gerhard Neumann

Energy based models (EBMs) are appealing for their generality and simplicity in data likelihood modeling, but have conventionally been difficult to train due to the unstable and time-consuming implicit MCMC sampling during contrastive…

Machine Learning · Computer Science 2024-07-23 Junn Yong Loo , Michelle Adeline , Arghya Pal , Vishnu Monn Baskaran , Chee-Ming Ting , Raphael C. -W. Phan

Normalizing flows have shown great success as general-purpose density estimators. However, many real world applications require the use of domain-specific knowledge, which normalizing flows cannot readily incorporate. We propose…

Machine Learning · Statistics 2022-03-17 Gianluigi Silvestri , Emily Fertig , Dave Moore , Luca Ambrogioni

In image restoration, single-step discriminative mappings often lack fine details via expectation learning, whereas generative paradigms suffer from inefficient multi-step sampling and noise-residual coupling. To address this dilemma, we…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Zihao Fan , Xin Lu , Jie Xiao , Dong Li , Jie Huang , Xueyang Fu

Generative modeling aims to transform random noise into structured outputs. In this work, we enhance video diffusion models by allowing motion control via structured latent noise sampling. This is achieved by just a change in data: we…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Ryan Burgert , Yuancheng Xu , Wenqi Xian , Oliver Pilarski , Pascal Clausen , Mingming He , Li Ma , Yitong Deng , Lingxiao Li , Mohsen Mousavi , Michael Ryoo , Paul Debevec , Ning Yu

Graph-structured data jointly contain discrete topology and continuous geometry, which poses fundamental challenges for generative modeling due to heterogeneous distributions, incompatible noise dynamics, and the need for equivariant…

Machine Learning · Computer Science 2026-04-10 Rongjian Xu , Teng Pang , Zhiqiang Dong , Guoqiang Wu

We formulate the inverse problem in a Bayesian framework and aim to train a generative model that allows us to simulate (i.e., sample from the likelihood) and do inference (i.e., sample from the posterior). We review the use of triangular…

Machine Learning · Statistics 2025-09-05 Tristan van Leeuwen , Christoph Brune , Marcello Carioni

Guidance of generative models is typically achieved by modifying the probability flow vector field through the addition of a guidance field. In this paper, we instead propose the Source-Guided Flow Matching (SGFM) framework, which modifies…

Machine Learning · Computer Science 2025-08-25 Zifan Wang , Alice Harting , Matthieu Barreau , Michael M. Zavlanos , Karl H. Johansson

Recent efforts have extended the flow-matching framework to discrete generative modeling. One strand of models directly works with the continuous probabilities instead of discrete tokens, which we colloquially refer to as Continuous-State…

Machine Learning · Computer Science 2025-04-15 Chaoran Cheng , Jiahan Li , Jiajun Fan , Ge Liu

New technologies such as Rectified Flow and Flow Matching have significantly improved the performance of generative models in the past two years, especially in terms of control accuracy, generation quality, and generation efficiency.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Sen Fang , Hongbin Zhong , Yalin Feng , Yanxin Zhang , Dimitris N. Metaxas

Normalizing flows (NFs) are end-to-end likelihood-based generative models for continuous data, and have recently regained attention with encouraging progress on image generation. Yet in the video generation domain, where spatiotemporal…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Jiatao Gu , Ying Shen , Tianrong Chen , Laurent Dinh , Yuyang Wang , Miguel Angel Bautista , David Berthelot , Josh Susskind , Shuangfei Zhai

Recently, flow-based generative models have shown superior efficiency compared to diffusion models. In this paper, we study rectified flow models, which constrain transport trajectories to be linear from the base distribution to the data…

Machine Learning · Computer Science 2026-01-29 Hari Krishna Sahoo , Mudit Gaur , Vaneet Aggarwal

Recently, studies on machine learning have focused on methods that use symmetry implicit in a specific manifold as an inductive bias. Grassmann manifolds provide the ability to handle fundamental shapes represented as shape spaces, enabling…

Machine Learning · Computer Science 2023-12-06 Ryoma Yataka , Kazuki Hirashima , Masashi Shiraishi
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