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Continuous normalizing flows (CNFs) learn an ordinary differential equation to transform prior samples into data. Flow matching (FM) has recently emerged as a simulation-free approach for training CNFs by regressing a velocity model towards…

Machine Learning · Statistics 2024-05-28 Tianyu Xie , Yu Zhu , Longlin Yu , Tong Yang , Ziheng Cheng , Shiyue Zhang , Xiangyu Zhang , Cheng Zhang

Streamflow plays an essential role in the sustainable planning and management of national water resources. Traditional hydrologic modeling approaches simulate streamflow by establishing connections across multiple physical processes, such…

Machine Learning · Computer Science 2024-11-28 Shu Wan , Reepal Shah , Qi Deng , John Sabo , Huan Liu , K. Selçuk

Guided or controlled data generation with diffusion models\blfootnote{Partial preliminary results of this work appeared in International Conference on Machine Learning 2025 \citep{li2025provable}.} has become a cornerstone of modern…

Machine Learning · Statistics 2025-12-05 Yuchen Jiao , Yuxin Chen , Gen Li

The ability of Flow Matching (FM) to model complex conditional distributions has established it as the state-of-the-art for prediction tasks (e.g., robotics, weather forecasting). However, deployment in safety-critical settings is hindered…

Machine Learning · Computer Science 2026-02-16 Constantinos Tsakonas , Serena Ivaldi , Jean-Baptiste Mouret

In this work, we introduce FLAME, a family of extremely lightweight and capable Time Series Foundation Models, which support both deterministic and probabilistic forecasting via generative probabilistic modeling, thus ensuring both…

Machine Learning · Computer Science 2026-02-10 Xingjian Wu , Hanyin Cheng , Xiangfei Qiu , Zhengyu Li , Jilin Hu , Chenjuan Guo , Bin Yang

Deep generative models provide state-of-the-art performance across a wide array of applications, with recent studies showing increasing applicability for science and engineering. Despite a growing corpus of literature focused on the…

Machine Learning · Computer Science 2026-05-14 Jacob K. Christopher , James E. Warner , Ferdinando Fioretto

Recently, the application of diffusion models has facilitated the significant development of speech and audio generation. Nevertheless, the quality of samples generated by diffusion models still needs improvement. And the effectiveness of…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-13 Wenhao Guan , Kaidi Wang , Wangjin Zhou , Yang Wang , Feng Deng , Hui Wang , Lin Li , Qingyang Hong , Yong Qin

We introduce Statistical Flow Matching (SFM), a novel and mathematically rigorous flow-matching framework on the manifold of parameterized probability measures inspired by the results from information geometry. We demonstrate the…

Machine Learning · Computer Science 2025-11-26 Chaoran Cheng , Jiahan Li , Jian Peng , Ge Liu

Generative models have gained more and more attention in recent years for their remarkable success in tasks that required estimating and sampling data distribution to generate high-fidelity synthetic data. In speech, text-to-speech…

Audio and Speech Processing · Electrical Eng. & Systems 2024-03-27 Alexander H. Liu , Matt Le , Apoorv Vyas , Bowen Shi , Andros Tjandra , Wei-Ning Hsu

Matching objectives underpin the success of modern generative models and rely on constructing conditional paths that transform a source distribution into a target distribution. Despite being a fundamental building block, conditional paths…

Standard flow matching scales well but typically relies on an unstructured source distribution, limiting its ability to learn interpretable latent structure. Latent-variable models, by contrast, capture structure but often sacrifice…

Machine Learning · Computer Science 2026-05-11 Xavier Sumba , Carles Balsells-Rodas , Yingzhen Li

Residential Load Profile (RLP) generation and prediction are critical for the operation and planning of distribution networks, especially as diverse low-carbon technologies (e.g., photovoltaic and electric vehicles) are increasingly…

Machine Learning · Computer Science 2025-10-28 Weijie Xia , Chenguang Wang , Peter Palensky , Pedro P. Vergara

A new probabilistic post-processing method for wind vectors is presented in a distributional regression framework employing the bivariate Gaussian distribution. In contrast to previous studies all parameters of the distribution are…

Applications · Statistics 2019-07-26 Moritz N. Lang , Georg J. Mayr , Reto Stauffer , Achim Zeileis

Reconstructing near-wall turbulence from wall-based measurements is a critical yet inherently ill-posed problem in wall-bounded flows, where limited sensing and spatially heterogeneous flow-wall coupling challenge deterministic estimation…

Fluid Dynamics · Physics 2025-04-22 Meet Hemant Parikh , Xiantao Fan , Jian-Xun Wang

Synthetic data generation is an important tool for privacy-preserving data sharing. Although diffusion models have set recent benchmarks, flow matching (FM) offers a promising alternative. This paper presents different ways to implement FM…

Machine Learning · Computer Science 2026-03-18 Bahrul Ilmi Nasution , Floor Eijkelboom , Mark Elliot , Richard Allmendinger , Christian A. Naesseth

Forecasting the life-cycle trajectory of a newly launched product is important for launch planning, resource allocation, and early risk assessment. This task is especially difficult in the pre-launch and early post-launch phases, when…

Machine Learning · Computer Science 2026-04-23 Ruihan Zhou , Zishi Zhang , Jinhui Han , Yijie Peng , Xiaowei Zhang

The generative paradigm has become increasingly important in machine learning and deep learning models. Among popular generative models are normalizing flows, which enable exact likelihood estimation by transforming a base distribution…

Machine Learning · Computer Science 2025-03-18 Naoufal El Bekri , Lucas Drumetz , Franck Vermet

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

Flow matching (FM) trains a time-dependent vector field that transports samples from a simple prior to a complex data distribution. However, for high-dimensional images, each training sample supervises only a single trajectory and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 George Stoica , Sayak Paul , Matthew Wallingford , Vivek Ramanujan , Abhay Nori , Winson Han , Ali Farhadi , Ranjay Krishna , Judy Hoffman

Accurate workload forecasting is critical for efficient resource management in cloud computing systems, enabling effective scheduling and autoscaling. Despite recent advances with transformer-based forecasting models, challenges remain due…

Machine Learning · Computer Science 2024-08-20 Shiyu Wang , Zhixuan Chu , Yinbo Sun , Yu Liu , Yuliang Guo , Yang Chen , Huiyang Jian , Lintao Ma , Xingyu Lu , Jun Zhou