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One-step generative modeling has emerged as a leading approach to amortize the inference cost of diffusion and flow-matching models. Among distillation-free methods, MeanFlow training is notoriously unstable, with non-decreasing loss and…

Machine Learning · Computer Science 2026-05-12 Juanwu Lu , Ziran Wang

Self-driving vehicles plan around both static and dynamic objects, applying predictive models of behavior to estimate future locations of the objects in the environment. However, future behavior is inherently uncertain, and models of motion…

Computer Vision and Pattern Recognition · Computer Science 2019-10-18 Ajay Jain , Sergio Casas , Renjie Liao , Yuwen Xiong , Song Feng , Sean Segal , Raquel Urtasun

Discrete diffusion models (DDMs) are a powerful class of generative models for categorical data, but they typically require many function evaluations for a single sample, making inference expensive. Existing acceleration methods either rely…

Machine Learning · Computer Science 2025-12-16 Yansong Gao , Yu Sun

Flow-based generative models are a family of exact log-likelihood models with tractable sampling and latent-variable inference, hence conceptually attractive for modeling complex distributions. However, flow-based models are limited by…

Machine Learning · Computer Science 2019-05-09 Huadong Liao , Jiawei He , Kunxian Shu

Leveraging neural networks as surrogate models for turbulence simulation is a topic of growing interest. At the same time, embodying the inherent uncertainty of simulations in the predictions of surrogate models remains very challenging.…

Fluid Dynamics · Physics 2024-10-10 Qiang Liu , Nils Thuerey

The predominant success of diffusion models in generative modeling has spurred significant interest in understanding their theoretical foundations. In this work, we propose a feature learning framework aimed at analyzing and comparing the…

Machine Learning · Statistics 2025-03-04 Andi Han , Wei Huang , Yuan Cao , Difan Zou

Diffusion models and flow matching have demonstrated remarkable success in text-to-image generation. While many existing alignment methods primarily focus on fine-tuning pre-trained generative models to maximize a given reward function,…

Machine Learning · Statistics 2026-02-03 Yidong Ouyang , Liyan Xie , Hongyuan Zha , Guang Cheng

Training frontier-scale diffusion models often requires substantial computational resources concentrated in tightly coupled clusters, limiting participation to well-resourced institutions. While Decentralized Diffusion Models (DDM) enable…

Machine Learning · Computer Science 2026-03-10 Zhiying Jiang , Raihan Seraj , Marcos Villagra , Bidhan Roy

Flow based generative models have charted an impressive path across multiple visual generation tasks by adhering to a simple principle: learning velocity representations of a linear interpolant. However, we observe that training velocity…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Inkyu Shin , Chenglin Yang , Liang-Chieh Chen

We present a comprehensive comparative study of three generative modeling paradigms: Denoising Diffusion Probabilistic Models (DDPM), Conditional Flow Matching (CFM), and MeanFlow. While DDPM and CFM require iterative sampling, MeanFlow…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Umang Agarwal , Rudraksh Sangore , Sumit Laddha

Generative modeling can be formulated as learning a mapping f such that its pushforward distribution matches the data distribution. The pushforward behavior can be carried out iteratively at inference time, for example in diffusion and…

Machine Learning · Computer Science 2026-02-09 Mingyang Deng , He Li , Tianhong Li , Yilun Du , Kaiming He

Image generative models, particularly diffusion-based models, have surged in popularity due to their remarkable ability to synthesize highly realistic images. However, since these models are data-driven, they inherit biases from the…

Machine Learning · Computer Science 2025-03-18 Lin-Chun Huang , Ching Chieh Tsao , Fang-Yi Su , Jung-Hsien Chiang

Generative modeling over discrete data has recently seen numerous success stories, with applications spanning language modeling, biological sequence design, and graph-structured molecular data. The predominant generative modeling paradigm…

Machine Learning · Computer Science 2024-11-01 Oscar Davis , Samuel Kessler , Mircea Petrache , İsmail İlkan Ceylan , Michael Bronstein , Avishek Joey Bose

Diffusion models have been successfully adapted to text generation tasks by mapping the discrete text into the continuous space. However, there exist nonnegligible gaps between training and inference, owing to the absence of the forward…

Computation and Language · Computer Science 2023-05-09 Zecheng Tang , Pinzheng Wang , Keyan Zhou , Juntao Li , Ziqiang Cao , Min Zhang

We present a formulation of flow matching as variational inference, which we refer to as variational flow matching (VFM). Based on this formulation we develop CatFlow, a flow matching method for categorical data. CatFlow is easy to…

Machine Learning · Computer Science 2025-08-19 Floor Eijkelboom , Grigory Bartosh , Christian Andersson Naesseth , Max Welling , Jan-Willem van de Meent

Deep generative models, particularly diffusion and flow matching models, have recently shown remarkable potential in learning complex policies through imitation learning. However, the safety of generated motions remains overlooked,…

Robotics · Computer Science 2025-08-13 Haoran Ding , Anqing Duan , Zezhou Sun , Leonel Rozo , Noémie Jaquier , Dezhen Song , Yoshihiko Nakamura

Dataset distillation compresses large datasets into compact synthetic sets with comparable performance in training models. Despite recent progress on diffusion-based distillation, this type of method typically depends on heuristic guidance…

Machine Learning · Computer Science 2026-02-06 Xuhui Li , Zhengquan Luo , Xiwei Liu , Yongqiang Yu , Zhiqiang Xu

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

Discrete diffusion language models (DDLMs) generate text by iteratively denoising categorical token sequences, while recent drifting methods for continuous generators suggest that part of this sampling-time correction can instead be…

Computation and Language · Computer Science 2026-05-20 Daisuke Oba , Hiroki Furuta , Naoaki Okazaki

Score-based generative models are a popular class of generative modelling techniques relying on stochastic differential equations (SDE). From their inception, it was realized that it was also possible to perform generation using ordinary…

Machine Learning · Statistics 2024-02-13 Joe Benton , George Deligiannidis , Arnaud Doucet