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Normalizing Flows (NF) are powerful generative models with increasing applications in augmenting Monte Carlo algorithms due to their high flexibility and expressiveness. In this work we explore the integration of NF in Diagrammatic Monte…

Strongly Correlated Electrons · Physics 2024-07-10 Luca Leoni , Cesare Franchini

In this paper, we establish a connection between the parameterization of flow-based and energy-based generative models, and present a new flow-based modeling approach called energy-based normalizing flow (EBFlow). We demonstrate that by…

Machine Learning · Computer Science 2023-10-31 Chen-Hao Chao , Wei-Fang Sun , Yen-Chang Hsu , Zsolt Kira , Chun-Yi Lee

Many components of data analysis in high energy physics and beyond require morphing one dataset into another. This is commonly solved via reweighting, but there are many advantages of preserving weights and shifting the data points instead.…

High Energy Physics - Phenomenology · Physics 2023-11-22 Tobias Golling , Samuel Klein , Radha Mastandrea , Benjamin Nachman , John Andrew Raine

Modeling stochastic dynamics from discrete observations is a key interdisciplinary challenge. Existing methods often fail to estimate the continuous evolution of probability densities from trajectories or face the curse of dimensionality.…

Computational Engineering, Finance, and Science · Computer Science 2025-12-02 Ruikun Li , Jiazhen Liu , Huandong Wang , Qingmin Liao , Yong Li

Efficient gradient computation of the Jacobian determinant term is a core problem in many machine learning settings, and especially so in the normalizing flow framework. Most proposed flow models therefore either restrict to a function…

Machine Learning · Computer Science 2021-06-10 T. Anderson Keller , Jorn W. T. Peters , Priyank Jaini , Emiel Hoogeboom , Patrick Forré , Max Welling

The presence of missing values within high-dimensional data is an ubiquitous problem for many applied sciences. A serious limitation of many available data mining and machine learning methods is their inability to handle partially missing…

Machine Learning · Computer Science 2022-08-02 Qi Ma , Sujit K. Ghosh

Normalizing flows are bijective mappings between inputs and latent representations with a fully factorized distribution. They are very attractive due to exact likelihood valuation and efficient sampling. However, their effective capacity is…

Machine Learning · Computer Science 2021-11-03 Matej Grcić , Ivan Grubišić , Siniša Šegvić

In this work, we investigate the use of normalizing flows to model conditional distributions. In particular, we use our proposed method to analyze inverse problems with invertible neural networks by maximizing the posterior likelihood. Our…

Machine Learning · Computer Science 2019-11-07 Zhisheng Xiao , Qing Yan , Yali Amit

Two fundamental problems in unsupervised learning are efficient inference for latent-variable models and robust density estimation based on large amounts of unlabeled data. Algorithms for the two tasks, such as normalizing flows and…

Machine Learning · Statistics 2018-08-02 Changyou Chen , Chunyuan Li , Liqun Chen , Wenlin Wang , Yunchen Pu , Lawrence Carin

Normalizing flows leverage the Change of Variables Formula (CVF) to define flexible density models. Yet, the requirement of smooth transformations (diffeomorphisms) in the CVF poses a significant challenge in the construction of these…

Machine Learning · Statistics 2021-07-12 Niklas Koenen , Marvin N. Wright , Peter Maaß , Jens Behrmann

We introduce graph normalizing flows: a new, reversible graph neural network model for prediction and generation. On supervised tasks, graph normalizing flows perform similarly to message passing neural networks, but at a significantly…

Machine Learning · Computer Science 2019-05-31 Jenny Liu , Aviral Kumar , Jimmy Ba , Jamie Kiros , Kevin Swersky

Accurate emulation of multi-scale physical systems governed by PDEs demands models that remain stable over long autoregressive rollouts while preserving fine-scale structures. Deterministic emulators produce overly-smoothed predictions,…

Normalizing flows can transform a simple prior probability distribution into a more complex target distribution. Here, we evaluate the ability and efficiency of generative machine learning methods to sample the Boltzmann distribution of an…

Soft Condensed Matter · Physics 2024-09-16 Gerhard Jung , Giulio Biroli , Ludovic Berthier

Existing machine learning methods for causal inference usually estimate quantities expressed via the mean of potential outcomes (e.g., average treatment effect). However, such quantities do not capture the full information about the…

Machine Learning · Computer Science 2023-06-21 Valentyn Melnychuk , Dennis Frauen , Stefan Feuerriegel

Normalizing flows (NFs) provide a powerful tool to construct an expressive distribution by a sequence of trackable transformations of a base distribution and form a probabilistic model of underlying data. Rotation, as an important quantity…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Yulin Liu , Haoran Liu , Yingda Yin , Yang Wang , Baoquan Chen , He Wang

Deep neural networks have enormous representational power which leads them to overfit on most datasets. Thus, regularizing them is important in order to reduce overfitting and enhance their generalization capabilities. Recently, channel…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Sudhakar Kumawat , Gagan Kanojia , Shanmuganathan Raman

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

Normalizing flows map an independent set of latent variables to their samples using a bijective transformation. Despite the exact correspondence between samples and latent variables, their high level relationship is not well understood. In…

Machine Learning · Statistics 2022-02-16 Edmond Cunningham , Adam Cobb , Susmit Jha

Fueled by the expressive power of deep neural networks, normalizing flows have achieved spectacular success in generative modeling, or learning to draw new samples from a distribution given a finite dataset of training samples. Normalizing…

Machine Learning · Computer Science 2023-05-05 Yuehaw Khoo , Michael Lindsey , Hongli Zhao

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
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