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A Normalizing Flow computes a bijective mapping from an arbitrary distribution to a predefined (e.g. normal) distribution. Such a flow can be used to address different tasks, e.g. anomaly detection, once such a mapping has been learned. In…

量子物理 · 物理学 2024-07-23 Bodo Rosenhahn , Christoph Hirche

Tuning of measurement models is challenging in real-world applications of sequential Monte Carlo methods. Recent advances in differentiable particle filters have led to various efforts to learn measurement models through neural networks.…

人工智能 · 计算机科学 2022-03-17 Xiongjie Chen , Yunpeng Li

We present a new method for probabilistic elicitation of expert knowledge using binary responses of human experts assessing simulated data from a statistical model, where the parameters are subject to uncertainty. The binary responses…

统计方法学 · 统计学 2020-03-10 Owen Thomas , Henri Pesonen , Jukka Corander

Normalizing flows are constructed from a base distribution with a known density and a diffeomorphism with a tractable Jacobian. The base density of a normalizing flow can be parameterised by a different normalizing flow, thus allowing maps…

机器学习 · 计算机科学 2022-11-07 Samuel Klein , John Andrew Raine , Tobias Golling

This paper presents a parameter scan technique for BSM signal models based on normalizing flow. Normalizing flow is a type of deep learning model that transforms a simple probability distribution into a complex probability distribution as…

数据分析、统计与概率 · 物理学 2024-09-23 Masahiko Saito , Masahiro Morinaga , Tomoe Kishimoto , Junichi Tanaka

Flow-based deep generative models learn data distributions by transforming a simple base distribution into a complex distribution via a set of invertible transformations. Due to the invertibility, such models can score unseen data samples…

机器学习 · 计算机科学 2019-06-18 Maximilian Schmidt , Marko Simic

The choice of approximate posterior distribution is one of the core problems in variational inference. Most applications of variational inference employ simple families of posterior approximations in order to allow for efficient inference,…

机器学习 · 统计学 2016-06-15 Danilo Jimenez Rezende , Shakir Mohamed

Normalizing Flows are generative models that directly maximize the likelihood. Previously, the design of normalizing flows was largely constrained by the need for analytical invertibility. We overcome this constraint by a training procedure…

机器学习 · 计算机科学 2024-04-25 Felix Draxler , Peter Sorrenson , Lea Zimmermann , Armand Rousselot , Ullrich Köthe

Normalizing flows (NF) are a class of powerful generative models that have gained popularity in recent years due to their ability to model complex distributions with high flexibility and expressiveness. In this work, we introduce a new type…

机器学习 · 计算机科学 2023-06-08 Jonas Köhler , Michele Invernizzi , Pim de Haan , Frank Noé

Reliable quantification of epistemic and aleatoric uncertainty is of crucial importance in applications where models are trained in one environment but applied to multiple different environments, often seen in real-world applications for…

机器学习 · 计算机科学 2023-11-02 Simon Dirmeier , Ye Hong , Yanan Xin , Fernando Perez-Cruz

Normalizing flows are a powerful tool to create flexible probability distributions with a wide range of potential applications in cosmology. Here we are studying normalizing flows which represent cosmological observables at field level,…

宇宙学与河外天体物理 · 物理学 2021-05-26 Adam Rouhiainen , Utkarsh Giri , Moritz Münchmeyer

The task of detecting anomalous data patterns is as important in practical applications as challenging. In the context of spatial data, recognition of unexpected trajectories brings additional difficulties, such as high dimensionality and…

We investigate the use of normalizing flow (NF) models as flexible priors in Bayesian inference via Markov Chain Monte Carlo (MCMC) sampling for iterative Bayesian calibration. Trained on posteriors from previous analyses, these models can…

核理论 · 物理学 2026-04-02 Hendrik Roch , Chun Shen

This study focuses on the novel application of a normalizing flow as a method of domain adaptation. Normalizing flows offer a way to transform data points between two different distributions. The present study investigates a method of…

数据分析、统计与概率 · 物理学 2024-05-16 Rowan Kelleher , Anselm Vossen

Continuous normalizing flows (CNFs) are a generative method for learning probability distributions, which is based on ordinary differential equations. This method has shown remarkable empirical success across various applications, including…

机器学习 · 统计学 2024-04-02 Yuan Gao , Jian Huang , Yuling Jiao , Shurong Zheng

Normalizing flows model a complex target distribution in terms of a bijective transform operating on a simple base distribution. As such, they enable tractable computation of a number of important statistical quantities, particularly…

机器学习 · 计算机科学 2022-09-01 Chandramouli Shama Sastry , Andreas Lehrmann , Marcus Brubaker , Alexander Radovic

In this paper, we propose an unsupervised framework based on normalizing flows that harmonizes MR images to mimic the distribution of the source domain. The proposed framework consists of three steps. First, a shallow harmonizer network is…

计算机视觉与模式识别 · 计算机科学 2023-01-30 Farzad Beizaee , Christian Desrosiers , Gregory A. Lodygensky , Jose Dolz

Many application domains, spanning from computational photography to medical imaging, require recovery of high-fidelity images from noisy, incomplete or partial/compressed measurements. State of the art methods for solving these inverse…

图像与视频处理 · 电气工程与系统科学 2022-07-13 Xinyi Wei , Hans van Gorp , Lizeth Gonzalez Carabarin , Daniel Freedman , Yonina C. Eldar , Ruud J. G. van Sloun

We propose a new multimodal variational autoencoder that enables to generate from the joint distribution and conditionally to any number of complex modalities. The unimodal posteriors are conditioned on the Deep Canonical Correlation…

机器学习 · 统计学 2023-05-22 Agathe Senellart , Clément Chadebec , Stéphanie Allassonnière

Bayesian posterior inference is prevalent in various machine learning problems. Variational inference provides one way to approximate the posterior distribution, however its expressive power is limited and so is the accuracy of resulting…

机器学习 · 计算机科学 2018-07-11 Guoqing Zheng , Yiming Yang , Jaime Carbonell