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Motivated by the need for accurate traffic flow prediction in transportation management, we propose a functional data method to analyze traffic flow patterns and predict future traffic flow. In this study we approach the problem by sampling…

Applications · Statistics 2013-01-14 Jeng-Min Chiou

We propose a generative multivariate posterior sampler via flow matching. It offers a simple training objective, and does not require access to likelihood evaluation. The method learns a dynamic, block-triangular velocity field in the joint…

Machine Learning · Statistics 2026-04-02 Percy S. Zhai , So Won Jeong , Veronika Ročková

Foundation models (FMs) have transformed natural language processing, but their success has not yet translated to time series forecasting. Existing time series foundation models (TSFMs), often based on transformer variants, struggle with…

Machine Learning · Computer Science 2025-08-20 Lars Graf , Thomas Ortner , Stanisław Woźniak , Angeliki Pantazi

Achieving high-fidelity and temporally smooth 3D human motion generation remains a challenge, particularly within resource-constrained environments. We introduce FlowMotion, a novel method leveraging Conditional Flow Matching (CFM).…

Graphics · Computer Science 2025-04-28 Manolo Canales Cuba , Vinícius do Carmo Melício , João Paulo Gois

Predicting how distributions over discrete variables vary over time is a common task in time series forecasting. But whereas most approaches focus on merely predicting the distribution at subsequent time steps, a crucial piece of…

Machine Learning · Computer Science 2023-03-15 Mukul Bhutani , J. Zico Kolter

In this work we develop and demonstrate a probabilistic generative model for phytoplankton communities. The proposed model takes counts of a set of phytoplankton taxa in a timeseries as its training data, and models communities by learning…

Applications · Statistics 2017-12-13 Arnold Kalmbach , Heidi M. Sosik , Gregory Dudek , Yogesh Girdhar

Generative control policies have recently unlocked major progress in robotics. These methods produce action sequences via diffusion or flow matching, with training data provided by demonstrations. But existing methods come with two key…

Robotics · Computer Science 2026-03-09 Vince Kurtz , Joel W. Burdick

Precipitation in complex terrain is governed by orographic processes operating at scales of a few kilometers, yet climate models typically run at resolutions of 50--100~km where this topographic detail is absent. Dynamical downscaling with…

Computational Physics · Physics 2026-04-29 Douglas Brinkerhoff , Elizabeth Fischer

Density estimation, which estimates the distribution of data, is an important category of probabilistic machine learning. A family of density estimators is mixture models, such as Gaussian Mixture Model (GMM) by expectation maximization.…

Machine Learning · Statistics 2023-10-18 Benyamin Ghojogh , Milad Amir Toutounchian

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

Ensemble forecast post-processing is a necessary step in producing accurate probabilistic forecasts. Conventional post-processing methods operate by estimating the parameters of a parametric distribution, frequently on a per-location or…

Machine Learning · Computer Science 2023-05-01 Peter Mlakar , Janko Merše , Jana Faganeli Pucer

Generative probabilistic forecasting produces future time series samples according to the conditional probability distribution given past time series observations. Such techniques are essential in risk-based decision-making and planning…

Machine Learning · Computer Science 2024-02-22 Xinyi Wang , Lang Tong , Qing Zhao

Data-driven hourly weather forecasting models often face the challenge of error accumulation in long-term predictions. The problem is exacerbated by non-physical temporal discontinuities present in widely-used training datasets such as…

Machine Learning · Computer Science 2025-10-01 Shuangshuang He , Yuanting Zhang , Hongli Liang , Qingye Meng , Xingyuan Yuan , Shuo Wang

Spatio-temporal forecasting has numerous applications in analyzing wireless, traffic, and financial networks. Many classical statistical models often fall short in handling the complexity and high non-linearity present in time-series data.…

Machine Learning · Statistics 2021-06-14 Soumyasundar Pal , Liheng Ma , Yingxue Zhang , Mark Coates

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

Safety-critical applications such as autonomous vehicles and social robots require fast computation and accurate probability density estimation on trajectory prediction. To address both requirements, this paper presents a new normalizing…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Takahiro Maeda , Norimichi Ukita

The prevalence of missing values in data science poses a substantial risk to any further analyses. Despite a wealth of research, principled nonparametric methods to deal with general non-monotone missingness are still scarce. Instead,…

Machine Learning · Statistics 2026-05-04 Gitte Kremling , Jeffrey Näf , Johannes Lederer

Probabilistic weather forecasting requires not only accurate trajectories, but calibrated distributions over plausible atmospheric futures. Recent data-driven systems have achieved remarkable deterministic skill, and diffusion-based…

Machine Learning · Computer Science 2026-05-11 Fan Xu , Yuan Gao , Kun Wang , Rui Su , Fenghua Ling , Hao Wu , Wanli Ouyang

This paper proposes a novel method, Explicit Flow Matching (ExFM), for training and analyzing flow-based generative models. ExFM leverages a theoretically grounded loss function, ExFM loss (a tractable form of Flow Matching (FM) loss), to…

Machine Learning · Computer Science 2024-07-03 Gleb Ryzhakov , Svetlana Pavlova , Egor Sevriugov , Ivan Oseledets

Conditional flow matching (CFM) stands out as an efficient, simulation-free approach for training flow-based generative models, achieving remarkable performance for data generation. However, CFM is insufficient to ensure accuracy in…

Machine Learning · Computer Science 2026-02-03 Yuhao Huang , Taos Transue , Shih-Hsin Wang , William Feldman , Hong Zhang , Bao Wang
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