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We present Functional Mean Flow (FMF) as a one-step generative model defined in infinite-dimensional Hilbert space. FMF extends the one-step Mean Flow framework to functional domains by providing a theoretical formulation for Functional…

Machine Learning · Computer Science 2025-11-18 Zhiqi Li , Yuchen Sun , Greg Turk , Bo Zhu

State-of-the-art data stream mining has long drawn from ensembles of the Very Fast Decision Tree, a seminal algorithm honored with the 2015 KDD Test-of-Time Award. However, the emergence of large tabular models, i.e., transformers designed…

Machine Learning · Computer Science 2025-12-16 Afonso Lourenço , João Gama , Eric P. Xing , Goreti Marreiros

Flow Matching enables simulation-free training of generative models on Riemannian manifolds, yet sampling typically still relies on numerically integrating a probability-flow ODE. We propose Riemannian MeanFlow (RMF), extending MeanFlow to…

Machine Learning · Computer Science 2026-05-21 Zichen Zhong , Haoliang Sun , Yukun Zhao , Yongshun Gong , Yilong Yin

In our previous paper [N. Tsutsumi, K. Nakai and Y. Saiki, Chaos 32, 091101 (2022)], we proposed a method for constructing a system of differential equations of chaotic behavior from only observable deterministic time series, which we call…

Chaotic Dynamics · Physics 2024-11-12 Natsuki Tsutsumi , Kengo Nakai , Yoshitaka Saiki

Flow matching has recently emerged as a promising alternative to diffusion-based generative models, particularly for text-to-image generation. Despite its flexibility in allowing arbitrary source distributions, most existing approaches rely…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Junwan Kim , Jiho Park , Seonghu Jeon , Seungryong Kim

Generative models can produce nonsensical text, unrealistic images, and unstable materials faster than simulation or human review can absorb; without per-sample confidence, trust erodes. Existing fixes run $k$ ensembles or stochastic…

Machine Learning · Statistics 2026-05-19 Friso de Kruiff , Dario Coscia , Max Welling , Erik Bekkers

Heterogeneity in federated learning (FL) is a critical and challenging aspect that significantly impacts model performance and convergence. In this paper, we propose a novel framework by formulating heterogeneous FL as a hierarchical…

Optimization and Control · Mathematics 2025-09-11 Yuyang Qiu , Kibaek Kim , Farzad Yousefian

Given an unconditional generative model and a predictor for a target property (e.g., a classifier), the goal of training-free guidance is to generate samples with desirable target properties without additional training. As a highly…

Machine Learning · Computer Science 2025-03-19 Haowei Lin , Shanda Li , Haotian Ye , Yiming Yang , Stefano Ermon , Yitao Liang , Jianzhu Ma

Heterogeneous data are commonly adopted as the inputs for some models that predict the future trends of some observations. Existing predictive models typically ignore the inconsistencies and imperfections in heterogeneous data while also…

Machine Learning · Computer Science 2022-05-10 Zhengjing Ma , Gang Mei , Salvatore Cuomo , Francesco Piccialli

Generative models have the potential to transform the way we emulate Earth's changing climate. Previous generative approaches rely on weather-scale autoregression for climate emulation, but this is inherently slow for long climate horizons…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Jeremy Andrew Irvin , Jiaqi Han , Zikui Wang , Abdulaziz Alharbi , Yufei Zhao , Nomin-Erdene Bayarsaikhan , Daniele Visioni , Andrew Y. Ng , Duncan Watson-Parris

Since the label collecting is prohibitive and time-consuming, unsupervised methods are preferred in applications such as fraud detection. Meanwhile, such applications usually require modeling the intrinsic clusters in high-dimensional data,…

Machine Learning · Computer Science 2020-12-16 Han Zhang , Wenhao Zheng , Charley Chen , Kevin Gao , Yao Hu , Ling Huang , Wei Xu

Machine learning models deployed in real-world settings must operate under evolving data distributions and constrained computational resources. This challenge is particularly acute in non-stationary domains such as energy time series,…

Machine Learning · Computer Science 2026-03-17 Daniel Bretsko , Piotr Walas , Devashish Khulbe , Sebastian Stros , Stanislav Sobolevsky , Tomas Satura

Flow matching has emerged as a compelling generative modeling approach that is widely used across domains. To generate data via a flow matching model, an ordinary differential equation (ODE) is numerically solved via forward integration of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Yichi Zhang , Yici Yan , Alex Schwing , Zhizhen Zhao

In the last decade, machine learning-based approaches became capable of performing a wide range of complex tasks sometimes better than humans, demanding a fraction of the time. Such an advance is partially due to the exponential growth in…

Feature generation is a critical step in machine learning, aiming to enhance model performance by capturing complex relationships within the data and generating meaningful new features. Traditional feature generation methods heavily rely on…

Machine Learning · Computer Science 2025-05-29 Wanfu Gao , Zengyao Man , Zebin He , Yuhao Tang , Jun Gao , Kunpeng Liu

Tabular data generation has recently attracted a growing interest due to its different application scenarios. However, generating time series of tabular data, where each element of the series depends on the others, remains a largely…

Machine Learning · Computer Science 2025-04-21 Fabrizio Garuti , Enver Sangineto , Simone Luetto , Lorenzo Forni , Rita Cucchiara

Diffusion and flow matching models generate samples by learning time-dependent vector fields whose integration transports noise to data, requiring tens to hundreds of network evaluations at inference. We instead learn the transport map…

Machine Learning · Computer Science 2026-04-09 Xiao Shou

In recent years, dynamically growing data and incrementally growing number of classes pose new challenges to large-scale data classification research. Most traditional methods struggle to balance the precision and computational burden when…

Machine Learning · Computer Science 2016-11-01 Tingting Xie , Yuxing Peng , Changjian Wang

There is an emerging need for efficient solutions to stochastic AC Optimal Power Flow ({AC-}OPF) to ensure optimal and reliable grid operations in the presence of increasing demand and generation uncertainty. This paper presents a highly…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Ilyes Mezghani , Sidhant Misra , Deepjyoti Deka

Power flow (PF) calculations are the backbone of real-time grid operations, across workflows such as contingency analysis (where repeated PF evaluations assess grid security under outages) and topology optimization (which involves PF-based…

Machine Learning · Computer Science 2026-04-21 Ana K. Rivera , Anvita Bhagavathula , Alvaro Carbonero , Priya Donti