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Based on the tensor tree network with the Born machine framework, we propose a general method for constructing a generative model by expressing the target distribution function as the amplitude of the quantum wave function represented by a…

Machine Learning · Computer Science 2025-04-04 Kenji Harada , Tsuyoshi Okubo , Naoki Kawashima

The Lie point symmetries and corresponding invariant solutions are obtained for a Gaussian, irrotational, compressible fluid flow. A supersymmetric extension of this model is then formulated through the use of a superspace and superfield…

Mathematical Physics · Physics 2009-11-13 A. M. Grundland , A. J. Hariton

Learning a categorical distribution comes with its own set of challenges. A successful approach taken by state-of-the-art works is to cast the problem in a continuous domain to take advantage of the impressive performance of the generative…

Machine Learning · Computer Science 2023-03-09 Florence Regol , Mark Coates

Normalizing flow-based generative models have been widely used in applications where the exact density estimation is of major importance. Recent research proposes numerous methods to improve their expressivity. However, conditioning on a…

Machine Learning · Computer Science 2024-06-04 Denis Gudovskiy , Tomoyuki Okuno , Yohei Nakata

Bayesian Flow Networks (BFNs) has been recently proposed as one of the most promising direction to universal generative modelling, having ability to learn any of the data type. Their power comes from the expressiveness of neural networks…

Machine Learning · Computer Science 2023-10-19 Mateusz Pyla , Kamil Deja , Bartłomiej Twardowski , Tomasz Trzciński

We derive the pressure tensor and the heat flux to accompany the new macroscopic conservation equations that we developed previously in a volume-based kinetic framework for gas flows. This kinetic description allows for expansion or…

Fluid Dynamics · Physics 2007-05-23 S. Kokou Dadzie , Jason M. Reese

Flow based generative models have charted an impressive path across multiple visual generation tasks by adhering to a simple principle: learning velocity representations of a linear interpolant. However, we observe that training velocity…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Inkyu Shin , Chenglin Yang , Liang-Chieh Chen

Normalizing flows have shown great success as general-purpose density estimators. However, many real world applications require the use of domain-specific knowledge, which normalizing flows cannot readily incorporate. We propose…

Machine Learning · Statistics 2022-03-17 Gianluigi Silvestri , Emily Fertig , Dave Moore , Luca Ambrogioni

Stochastic processes generated by non-stationary distributions are difficult to represent with conventional models such as Gaussian processes. This work presents Recurrent Autoregressive Flows as a method toward general stochastic process…

Machine Learning · Computer Science 2020-06-20 John Mern , Peter Morales , Mykel J. Kochenderfer

Assuming a-priori a smooth generating vector field, we introduce a generally covariant measure of the flow geometry called the referential gradient of the flow. The main result is the explicit relation between the referential gradient and…

Mathematical Physics · Physics 2014-11-21 J. K. Edmondson

Generative models, such as the method of normalizing flows, have been suggested as alternatives to the standard algorithms for generating lattice gauge field configurations. Studies with the method of normalizing flows demonstrate the proof…

High Energy Physics - Lattice · Physics 2023-01-05 Javad Komijani , Marina K. Marinkovic

New technologies such as Rectified Flow and Flow Matching have significantly improved the performance of generative models in the past two years, especially in terms of control accuracy, generation quality, and generation efficiency.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Sen Fang , Hongbin Zhong , Yalin Feng , Yanxin Zhang , Dimitris N. Metaxas

Normalizing flows are a powerful class of generative models for continuous random variables, showing both strong model flexibility and the potential for non-autoregressive generation. These benefits are also desired when modeling discrete…

Machine Learning · Statistics 2019-06-06 Zachary M. Ziegler , Alexander M. Rush

In this work, we propose a novel generative model for mapping inputs to structured, high-dimensional outputs using structured conditional normalizing flows and Gaussian process regression. The model is motivated by the need to characterize…

Machine Learning · Computer Science 2022-12-16 Natalie Klein , Nishant Panda , Patrick Gasda , Diane Oyen

We present energy-based generative flow networks (EB-GFN), a novel probabilistic modeling algorithm for high-dimensional discrete data. Building upon the theory of generative flow networks (GFlowNets), we model the generation process by a…

Machine Learning · Computer Science 2022-06-10 Dinghuai Zhang , Nikolay Malkin , Zhen Liu , Alexandra Volokhova , Aaron Courville , Yoshua Bengio

Generative models have excelled in audio tasks using approaches such as language models, diffusion, and flow matching. However, existing generative approaches for speech enhancement (SE) face notable challenges: language model-based methods…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-28 Ziqian Wang , Zikai Liu , Xinfa Zhu , Yike Zhu , Mingshuai Liu , Jun Chen , Longshuai Xiao , Chao Weng , Lei Xie

There has been a recent surge in learning generative models for graphs. While impressive progress has been made on static graphs, work on generative modeling of temporal graphs is at a nascent stage with significant scope for improvement.…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Sahil Manchanda , Srikanta Bedathur , Sayan Ranu

We introduce a novel generative model for the representation of joint probability distributions of a possibly large number of discrete random variables. The approach uses measure transport by randomized assignment flows on the statistical…

Machine Learning · Statistics 2025-01-15 Bastian Boll , Daniel Gonzalez-Alvarado , Stefania Petra , Christoph Schnörr

Graph classification is an important learning task for graph-structured data. Graph neural networks (GNNs) have recently gained growing attention in graph learning and have shown significant improvements in many important graph problems.…

Machine Learning · Computer Science 2024-01-31 Tao Wen , Elynn Chen , Yuzhou Chen

Deep generative models such as diffusion and flow matching are powerful machine learning tools capable of learning and sampling from high-dimensional distributions. They are particularly useful when the training data appears to be…

High Energy Physics - Phenomenology · Physics 2026-04-30 Zachary Bogorad , Ibrahim Elsharkawy , Yonatan Kahn , Andrew J. Larkoski , Noam Levi