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Normalizing flows are exact-likelihood generative neural networks which approximately transform samples from a simple prior distribution to samples of the probability distribution of interest. Recent work showed that such generative models…

Machine Learning · Statistics 2020-10-27 Jonas Köhler , Leon Klein , Frank Noé

Variational inference is a technique that approximates a target distribution by optimizing within the parameter space of variational families. On the other hand, Wasserstein gradient flows describe optimization within the space of…

Machine Learning · Statistics 2023-11-01 Mingxuan Yi , Song Liu

Diffusion models approximate the denoising distribution as a Gaussian and predict its mean, whereas flow matching models reparameterize the Gaussian mean as flow velocity. However, they underperform in few-step sampling due to…

Machine Learning · Computer Science 2025-09-03 Hansheng Chen , Kai Zhang , Hao Tan , Zexiang Xu , Fujun Luan , Leonidas Guibas , Gordon Wetzstein , Sai Bi

Generative flows models enjoy the properties of tractable exact likelihood and efficient sampling, which are composed of a sequence of invertible functions. In this paper, we incorporate matrix exponential into generative flows. Matrix…

Machine Learning · Computer Science 2020-07-21 Changyi Xiao , Ligang Liu

Flow matching has emerged as a powerful generative framework, with recent few-step methods achieving remarkable inference acceleration. However, we identify a critical yet overlooked limitation: these models suffer from severe diversity…

Machine Learning · Computer Science 2026-04-15 Yexiong Lin , Jia Shi , Shanshan Ye , Wanyu Wang , Yu Yao , Tongliang Liu

We consider the non-isothermal flow of a compressible fluid through pipes. Starting from the full set of Euler equations, we propose a variational characterization of solutions that encodes the conservation of mass, energy, and entropy in a…

Numerical Analysis · Mathematics 2016-11-11 Herbert Egger

We investigate a family of approximate multi-step proximal point methods, framed as implicit linear discretizations of gradient flow. The resulting methods are multi-step proximal point methods, with similar computational cost in each…

Optimization and Control · Mathematics 2025-01-15 Yushen Huang , Yifan Sun

Reliable medical image classification requires accurate predictions and well-calibrated uncertainty estimates, especially in high-stakes clinical settings. This work presents MedSymmFlow, a generative-discriminative hybrid model built on…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Francisco Caetano , Lemar Abdi , Christiaan Viviers , Amaan Valiuddin , Fons van der Sommen

Bayesian inference in the physical sciences faces a fundamental challenge: the imperative for high-fidelity physical modeling often clashes with the intrinsic limitations of stochastic sampling algorithms. Complex, high-dimensional…

Instrumentation and Methods for Astrophysics · Physics 2026-04-09 Bo Liang , Chang Liu , Hanlin Song , Tianyu Zhao , Minghui Du , He Wang , Haohao Gu , Sensen He , Yuxiang Xu , Wei-Liang Qian , Li-e Qiang , Peng Xu , Ziren Luo , Mingming Sun

Efficient sampling of complex data distributions can be achieved using trained invertible flows (IF), where the model distribution is generated by pushing a simple base distribution through multiple non-linear bijective transformations.…

Machine Learning · Computer Science 2021-07-13 Daniel O'Connor , Walter Vinci

Mixture models are widely used in Bayesian statistics and machine learning, in particular in computational biology, natural language processing and many other fields. Variational inference, a technique for approximating intractable…

Statistics Theory · Mathematics 2020-08-03 Badr-Eddine Chérief-Abdellatif , Pierre Alquier

The framework of normalizing flows provides a general strategy for flexible variational inference of posteriors over latent variables. We propose a new type of normalizing flow, inverse autoregressive flow (IAF), that, in contrast to…

Machine Learning · Computer Science 2017-02-01 Diederik P. Kingma , Tim Salimans , Rafal Jozefowicz , Xi Chen , Ilya Sutskever , Max Welling

Graphical flows add further structure to normalizing flows by encoding non-trivial variable dependencies. Previous graphical flow models have focused primarily on a single flow direction: the normalizing direction for density estimation, or…

Machine Learning · Computer Science 2022-04-27 Jacobie Mouton , Steve Kroon

With more well-performing anomaly detection methods proposed, many of the single-view tasks have been solved to a relatively good degree. However, real-world production scenarios often involve complex industrial products, whose properties…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Mathis Kruse , Bodo Rosenhahn

Generative modeling has recently shown remarkable promise for visuomotor policy learning, enabling flexible and expressive control across diverse embodied AI tasks. However, existing generative policies often struggle with data…

Robotics · Computer Science 2025-12-16 Jianlei Chang , Ruofeng Mei , Wei Ke , Xiangyu Xu

In this paper, we propose, analyze, and test an efficient algorithm for computing ensemble average of incompressible magnetohydrodynamics (MHD) flows, where instances/members correspond to varying kinematic viscosity, magnetic diffusivity,…

Numerical Analysis · Mathematics 2021-08-12 Muhammad Mohebujjaman , Hongwei Wang , Leo G. Rebholz , Md. Abdullah Al Mahbub

Drawing inspiration from the lateral lines of fish, the inference of flow characteristics via surface-based data has drawn considerable attention. The current approaches often rely on analytical methods tailored exclusively for potential…

Fluid Dynamics · Physics 2023-11-03 Colin Rodwell , Kumar Sourav , Phanindra Tallapragada

The TensorFlow Distributions library implements a vision of probability theory adapted to the modern deep-learning paradigm of end-to-end differentiable computation. Building on two basic abstractions, it offers flexible building blocks for…

Estimating causal effects from observational data has become increasingly critical in diverse fields including healthcare, economics, and social policy. The fundamental challenge in causal inference arises from the missing counterfactuals…

Machine Learning · Computer Science 2026-05-08 Yifei Xie , Jian Huang

Flow-matching models provide a powerful framework for various applications, offering efficient sampling and flexible probability path modeling. These models are characterized by flows with low curvature in learned generative trajectories,…

Machine Learning · Computer Science 2025-01-22 Zibin Wang , Zhiyuan Ouyang , Xiangyun Zhang
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