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High-dimensional count data arise in applications such as single-cell RNA sequencing and neural spike trains, where mapping between distributions across successive batches or time points form critical components of data analysis. The recent…

Machine Learning · Statistics 2026-05-11 Ganchao Wei , John Pearson

Normalizing Flows (NFs) are able to model complicated distributions p(y) with strong inter-dimensional correlations and high multimodality by transforming a simple base density p(z) through an invertible neural network under the change of…

Machine Learning · Computer Science 2023-11-14 Christina Winkler , Daniel Worrall , Emiel Hoogeboom , Max Welling

Flow Matching (FM) is a simulation-free method for learning a continuous and invertible flow to interpolate between two distributions, and in particular to generate data from noise. Inspired by the variational nature of the diffusion…

Machine Learning · Statistics 2025-07-14 Chen Xu , Xiuyuan Cheng , Yao Xie

Flow matching (FM) is a general framework for defining probability paths via Ordinary Differential Equations (ODEs) to transform between noise and data samples. Recent approaches attempt to straighten these flow trajectories to generate…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Ling Yang , Zixiang Zhang , Zhilong Zhang , Xingchao Liu , Minkai Xu , Wentao Zhang , Chenlin Meng , Stefano Ermon , Bin Cui

The task of conditional generation is one of the most important applications of generative models, and numerous methods have been developed to date based on the celebrated flow-based models. However, many flow-based models in use today are…

Machine Learning · Computer Science 2024-07-08 Noboru Isobe , Masanori Koyama , Jinzhe Zhang , Kohei Hayashi , Kenji Fukumizu

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

While generative modeling has achieved remarkable success on tasks like natural language-conditioned image generation, enabling model adaptation from example data points remains a relatively underexplored and challenging problem. To this…

Machine Learning · Computer Science 2026-05-08 Tyler Ingebrand , Ruihan Zhao , Kushagra Gupta , David Fridovich-Keil , Sandeep P. Chinchali , Ufuk Topcu

A normalizing flow (NF) is a mapping that transforms a chosen probability distribution to a normal distribution. Such flows are a common technique used for data generation and density estimation in machine learning and data science. The…

Optimization and Control · Mathematics 2022-12-01 Alexander Vidal , Samy Wu Fung , Luis Tenorio , Stanley Osher , Levon Nurbekyan

The goal of this paper is to provide a new perspective on speech modeling by incorporating perceptual invariances such as amplitude scaling and temporal shifts. Conventional generative formulations often treat each dataset sample as a fixed…

Audio and Speech Processing · Electrical Eng. & Systems 2025-12-24 Doyeop Kwak , Youngjoon Jang , Joon Son Chung

Continuous Normalizing Flows (CNFs) are a class of generative models that transform a prior distribution to a model distribution by solving an ordinary differential equation (ODE). We propose to train CNFs on manifolds by minimizing…

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…

We provide a theoretical analysis for end-to-end training Discrete Flow Matching (DFM) generative models. DFM is a promising discrete generative modeling framework that learns the underlying generative dynamics by training a neural network…

Machine Learning · Computer Science 2025-09-29 Maojiang Su , Mingcheng Lu , Jerry Yao-Chieh Hu , Shang Wu , Zhao Song , Alex Reneau , Han Liu

Causal inconsistency arises when the underlying causal graphs captured by generative models like \textit{Normalizing Flows} (NFs) are inconsistent with those specified in causal models like \textit{Struct Causal Models} (SCMs). This…

Machine Learning · Computer Science 2024-12-18 Qingyang Zhou , Kangjie Lu , Meng Xu

We introduce COT-FM, a general framework that reshapes the probability path in Flow Matching (FM) to achieve faster and more reliable generation. FM models often produce curved trajectories due to random or batchwise couplings, which…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Chiensheng Chiang , Kuan-Hsun Tu , Jia-Wei Liao , Cheng-Fu Chou , Tsung-Wei Ke

Conditional Flow Matching (CFM) models can generate high-quality samples from a non-informative prior, but they can be slow, often needing hundreds of network evaluations (NFE). To address this, we propose Implicit Dynamical Flow Fusion…

Machine Learning · Computer Science 2025-05-28 Mohammad R. Rezaei , Milos R. Popovic , Milad Lankarany , Rahul G. Krishnan

We present a data-driven approach for probabilistic wind power forecasting based on conditional normalizing flow (CNF). In contrast with the existing, this approach is distribution-free (as for non-parametric and quantile-based approaches)…

Systems and Control · Electrical Eng. & Systems 2022-07-20 Honglin Wen , Pierre Pinson , Jinghuan Ma , Jie Gu , Zhijian Jin

Flow-based Generative Models (FGMs) effectively transform noise into complex data distributions. Incorporating Optimal Transport (OT) to couple noise and data during FGM training has been shown to improve the straightness of flow…

Machine Learning · Computer Science 2025-10-20 Lingkai Kong , Molei Tao , Yang Liu , Bryan Wang , Jinmiao Fu , Chien-Chih Wang , Huidong Liu

Fine-tuning flow matching models is a central challenge in settings with limited data, evolving distributions, or strict efficiency demands, where unconstrained fine-tuning can erode the accuracy and efficiency gains learned during…

Machine Learning · Computer Science 2026-02-02 Gudrun Thorkelsdottir , Arindam Banerjee

The efficient construction of accurate channel knowledge maps (CKMs) is crucial for unleashing the full potential of environment-aware wireless networks, yet it remains a difficult ill-posed problem due to the sparsity of available…

Information Theory · Computer Science 2026-01-13 Ziyu Huang , Yong Zeng , Shen Fu , Xiaoli Xu , Hongyang Du

Classifier-Free Guidance (CFG) is a widely adopted technique in diffusion/flow models to improve image fidelity and controllability. In this work, we first analytically study the effect of CFG on flow matching models trained on Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Weichen Fan , Amber Yijia Zheng , Raymond A. Yeh , Ziwei Liu