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Obtaining system parameters and reconstructing the full flow state from limited velocity observations using conventional fluid dynamics solvers can be prohibitively expensive. Here we employ machine learning algorithms to overcome the…

Fluid Dynamics · Physics 2024-10-17 Vladimir Parfenyev , Mark Blumenau , Ilia Nikitin

We propose a new finite volume renormalization scheme. Our scheme is based on the Gradient Flow applied to both fermion and gauge fields and, much like the Schr\"odinger functional method, allows for a nonperturbative determination of the…

High Energy Physics - Lattice · Physics 2014-02-04 Christopher Monahan , Kostas Orginos

Modeling real-world distributions can often be challenging due to sample data that are subjected to perturbations, e.g., instrumentation errors, or added random noise. Since flow models are typically nonlinear algorithms, they amplify these…

Machine Learning · Computer Science 2022-10-11 Sameera Ramasinghe , Kasun Fernando , Salman Khan , Nick Barnes

Rectified-Flow (RF)-based generative models have recently emerged as strong alternatives to traditional diffusion models, demonstrating state-of-the-art performance across various tasks. By learning a continuous velocity field that…

Computer Vision and Pattern Recognition · Computer Science 2026-02-16 Chenru Wang , Beier Zhu , Chi Zhang

We report a new approach to flow field tomography that uses the Navier-Stokes and advection-diffusion equations to regularize reconstructions. Tomography is increasingly employed to infer 2D or 3D fluid flow and combustion structures from a…

Fluid Dynamics · Physics 2026-03-31 Joseph P. Molnar , Samuel J. Grauer

Normalizing flows are deep generative models that allow efficient likelihood calculation and sampling. The core requirement for this advantage is that they are constructed using functions that can be efficiently inverted and for which the…

Machine Learning · Computer Science 2021-01-11 You Lu , Bert Huang

Normalizing flows are generative models that provide tractable density estimation via an invertible transformation from a simple base distribution to a complex target distribution. However, this technique cannot directly model data…

Machine Learning · Statistics 2021-11-15 Brendan Leigh Ross , Jesse C. Cresswell

We present a high order perturbative computation of the renormalization constants Z_V, Z_A and of the ratio Z_P/Z_S for Wilson fermions. The computational setup is the one provided by the RI'-MOM scheme. Three- and four-loop expansions are…

High Energy Physics - Lattice · Physics 2008-11-26 F. Di Renzo , V. Miccio , L. Scorzato , C. Torrero

We present an alternative to reweighting techniques for modifying distributions to account for a desired change in an underlying conditional distribution, as is often needed to correct for mis-modelling in a simulated sample. We employ…

High Energy Physics - Phenomenology · Physics 2023-05-01 Malte Algren , Tobias Golling , Manuel Guth , Chris Pollard , John Andrew Raine

Systems biology relies on mathematical models that often involve complex and intractable likelihood functions, posing challenges for efficient inference and model selection. Generative models, such as normalizing flows, have shown…

Quantitative Methods · Quantitative Biology 2023-12-06 Vincent D. Zaballa , Elliot E. Hui

Accurate position reconstruction in noble-element time-projection chambers (TPCs) is critical for rare-event searches in astroparticle physics, yet is systematically limited by electric field distortions arising from charge accumulation on…

Instrumentation and Detectors · Physics 2025-11-05 Ivy Li , Peter Gaemers , Juehang Qin , Naija Bruckner , Maris Arthurs , Maria Elena Monzani , Christopher Tunnell

The use of machine learning in fluid dynamics is becoming more common to expedite the computation when solving forward and inverse problems of partial differential equations. Yet, a notable challenge with existing convolutional neural…

Fluid Dynamics · Physics 2024-05-10 Siming Shan , Pengkai Wang , Song Chen , Jiaxu Liu , Chao Xu , Shengze Cai

We present a simple, sophisticated method to capture renormalization group flow in Monte Carlo simulation, which provides important information of critical phenomena. We applied the method to $D=3,4$ lattice $\phi^4$ model and obtained…

Statistical Mechanics · Physics 2009-10-31 M. Itakura

In this contribution, we propose a new computationally efficient method to combine Variational Inference (VI) with Markov Chain Monte Carlo (MCMC). This approach can be used with generic MCMC kernels, but is especially well suited to…

Flow Matching (FM) has shown remarkable ability in modeling complex distributions and achieves strong performance in offline imitation learning for cloning expert behaviors. However, despite its behavioral cloning expressiveness, FM-based…

Machine Learning · Computer Science 2025-10-14 Zhenglin Wan , Jingxuan Wu , Xingrui Yu , Chubin Zhang , Mingcong Lei , Bo An , Ivor Tsang

Due to the non-stationarity of time series, the distribution shift problem largely hinders the performance of time series forecasting. Existing solutions either rely on using certain statistics to specify the shift, or developing specific…

Machine Learning · Computer Science 2025-02-10 Wei Fan , Shun Zheng , Pengyang Wang , Rui Xie , Kun Yi , Qi Zhang , Jiang Bian , Yanjie Fu

A trivializing map is a field transformation whose Jacobian determinant exactly cancels the interaction terms in the action, providing a representation of the theory in terms of a deterministic transformation of a distribution from which…

High Energy Physics - Lattice · Physics 2022-01-03 Luigi Del Debbio , Joe Marsh Rossney , Michael Wilson

We consider the problem of sampling lattice field configurations on a lattice from the Boltzmann distribution corresponding to some action. Since such densities arise as approximationw of an underlying functional density, we frame the task…

Machine Learning · Computer Science 2024-11-27 Bálint Máté , François Fleuret

Variational inference relies on flexible approximate posterior distributions. Normalizing flows provide a general recipe to construct flexible variational posteriors. We introduce Sylvester normalizing flows, which can be seen as a…

Machine Learning · Statistics 2019-02-21 Rianne van den Berg , Leonard Hasenclever , Jakub M. Tomczak , Max Welling

We propose an expert-elicitation method for learning non-parametric joint prior distributions using normalizing flows. Normalizing flows are a class of generative models that enable exact, single-step density evaluation and can capture…

Methodology · Statistics 2025-04-22 Florence Bockting , Stefan T. Radev , Paul-Christian Bürkner