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Mean-field games (MFGs) study the Nash equilibrium of systems with a continuum of interacting agents, which can be formulated as the fixed-point of optimal control problems. They provide a unified framework for a variety of applications,…

Machine Learning · Statistics 2025-12-02 Jiajia Yu , Junghwan Lee , Yao Xie , Xiuyuan Cheng

This work describes methodologies to successfully implement the Implicit Monte Carlo (IMC) scheme for thermal radiative transfer in reduced-precision floating-point arithmetic. The methods used can be broadly categorized into scaling…

Computational Physics · Physics 2025-10-27 Simon Butson , Mathew Cleveland , Alex Long , Todd Palmer

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

Network Traffic Classification (NTC) is one of the most important tasks in network management. The imbalanced nature of classes on the internet presents a critical challenge in classification tasks. For example, some classes of applications…

Machine Learning · Computer Science 2025-02-27 Matin Shokri , Ramin Hasibi

Annealed Importance Sampling (AIS) and its Sequential Monte Carlo (SMC) extensions are state-of-the-art methods for estimating normalizing constants of probability distributions. We propose here a novel Monte Carlo algorithm, Annealed Flow…

Machine Learning · Statistics 2021-07-12 Michael Arbel , Alexander G. D. G. Matthews , Arnaud Doucet

Accurate channel state information (CSI) is vital for multiple-input multiple-output (MIMO) systems. However, superimposed pilots (SIP), which reduce overhead, introduce severe pilot contamination and data interference, complicating joint…

Signal Processing · Electrical Eng. & Systems 2026-02-26 Ruhao Zhang , Yupeng Li , Yitong Liu , Shijian Gao , Jing Jin , Hongwen Yang , Jiangzhou Wang

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

Monte Carlo methods are widely used for approximating complicated, multidimensional integrals for Bayesian inference. Population Monte Carlo (PMC) is an important class of Monte Carlo methods, which utilizes a population of proposals to…

Methodology · Statistics 2022-08-30 Chaofan Huang , V. Roshan Joseph , Simon Mak

Generative models, particularly Diffusion Models (DM), have shown strong potential for Computed Tomography (CT) reconstruction serving as expressive priors for solving ill-posed inverse problems. However, diffusion-based reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2026-03-03 Jiayang Shi , Lincen Yang , Zhong Li , Tristan Van Leeuwen , Daniel M. Pelt , K. Joost Batenburg

Flow matching (FM) constructs continuous-time ODE samplers by prescribing probability paths between a base distribution and a target distribution. In this note, we study FM through the lens of finite-sample plug-in estimation. In addition…

Machine Learning · Statistics 2026-05-15 Soon Hoe Lim

Segmenting thin structures like infrastructure cracks and anatomical vessels is a task hampered by topology-sensitive geometry, high annotation costs, and poor generalization across domains. Existing methods address these challenges in…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Babak Asadi , Peiyang Wu , Mani Golparvar-Fard , Viraj Shah , Ramez Hajj

We propose a training-free conditional sampling method for flow matching models based on importance sampling. Because a na\"ive application of importance sampling suffers from weight degeneracy in high-dimensional settings, we modify and…

Machine Learning · Statistics 2026-02-16 Qianqian Qu , Jun S. Liu

Flow matching (FM) has gained significant attention as a simulation-free generative model. Unlike diffusion models, which are based on stochastic differential equations, FM employs a simpler approach by solving an ordinary differential…

Machine Learning · Computer Science 2024-10-14 Kenji Fukumizu , Taiji Suzuki , Noboru Isobe , Kazusato Oko , Masanori Koyama

Continuous normalizing flows (CNFs) learn the probability path between a reference distribution and a target distribution by modeling the vector field generating said path using neural networks. Recently, Lipman et al. (2022) introduced a…

Methodology · Statistics 2024-10-29 Alberto Cabezas , Louis Sharrock , Christopher Nemeth

Solving optimal transport (OT) on random minibatches is a common surrogate for exact OT in large-scale learning. In flow matching (FM), this surrogate is used to obtain OT-like couplings that can straighten probability paths and reduce…

Machine Learning · Computer Science 2026-05-13 Samuel Boïté , Julie Delon , Kimia Nadjahi

Learning probabilistic surrogates for partial differential equations remains challenging in data-scarce regimes: neural operators require large amounts of high-fidelity data, while generative approaches typically sacrifice resolution…

Computation · Statistics 2025-12-18 Sahil Bhola , Karthik Duraisamy

Flow matching (FM) is a family of training algorithms for fitting continuous normalizing flows (CNFs). Conditional flow matching (CFM) exploits the fact that the marginal vector field of a CNF can be learned by fitting least-squares…

Machine Learning · Statistics 2025-02-04 Ganchao Wei , Li Ma

This study presents a comparative analysis of Monte Carlo (MC) and quasi-Monte Carlo (QMC) methods in the context of derivative pricing, emphasizing convergence rates and the curse of dimensionality. After a concise overview of traditional…

Pricing of Securities · Quantitative Finance 2025-02-26 Giacomo Case

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…

Flow matching models have shown great potential in image generation tasks among probabilistic generative models. However, most flow matching models in the literature do not explicitly utilize the underlying clustering structure in the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Anirban Samaddar , Yixuan Sun , Viktor Nilsson , Sandeep Madireddy