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Normalizing flows are a powerful technique for obtaining reparameterizable samples from complex multimodal distributions. Unfortunately, current approaches are only available for the most basic geometries and fall short when the underlying…

机器学习 · 统计学 2021-05-03 Luca Falorsi

We present a computational framework for efficient learning, sampling, and distribution of general Bayesian posterior distributions. The framework leverages a machine learning approach for the construction of normalizing flows for the…

核理论 · 物理学 2023-10-10 Yukari Yamauchi , Landon Buskirk , Pablo Giuliani , Kyle Godbey

Normalizing Flows (NFs) are likelihood-based models for continuous inputs. They have demonstrated promising results on both density estimation and generative modeling tasks, but have received relatively little attention in recent years. In…

Machine Learning (ML) models in Robotic Assembly Sequence Planning (RASP) need to be introspective on the predicted solutions, i.e. whether they are feasible or not, to circumvent potential efficiency degradation. Previous works need both…

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…

机器学习 · 统计学 2019-02-21 Rianne van den Berg , Leonard Hasenclever , Jakub M. Tomczak , Max Welling

Real-world data with underlying structure, such as pictures of faces, are hypothesized to lie on a low-dimensional manifold. This manifold hypothesis has motivated state-of-the-art generative algorithms that learn low-dimensional data…

Methods based on Deep Learning have recently been applied on astrophysical parameter recovery thanks to their ability to capture information from complex data. One of these methods is the approximate Bayesian Neural Networks (BNNs) which…

天体物理仪器与方法 · 物理学 2023-06-21 Héctor J. Hortúa , Luz Ángela García , Leonardo Castañeda C

The Normalizing Flow (NF) models a general probability density by estimating an invertible transformation applied on samples drawn from a known distribution. We introduce a new type of NF, called Deep Diffeomorphic Normalizing Flow (DDNF).…

机器学习 · 统计学 2018-11-26 Hadi Salman , Payman Yadollahpour , Tom Fletcher , Kayhan Batmanghelich

Uncertainty quantification provides quantitative measures on the reliability of candidate solutions of ill-posed inverse problems. Due to their sequential nature, Monte Carlo sampling methods require large numbers of sampling steps for…

地球物理 · 物理学 2021-04-14 Ali Siahkoohi , Felix J. Herrmann

Normalising flows (NFs) for discrete data are challenging because parameterising bijective transformations of discrete variables requires predicting discrete/integer parameters. Having a neural network architecture predict discrete…

机器学习 · 计算机科学 2020-06-12 Rob Hesselink , Wilker Aziz

Normalizing flows are a powerful technique for obtaining reparameterizable samples from complex multimodal distributions. Unfortunately current approaches fall short when the underlying space has a non trivial topology, and are only…

机器学习 · 统计学 2020-06-12 Luca Falorsi , Patrick Forré

Physics-informed deep learning have recently emerged as an effective tool for leveraging both observational data and available physical laws. Physics-informed neural networks (PINNs) and deep operator networks (DeepONets) are two such…

数值分析 · 数学 2023-02-22 Xuhui Meng

The recipe behind the success of deep learning has been the combination of neural networks and gradient-based optimization. Understanding the behavior of gradient descent however, and particularly its instability, has lagged behind its…

机器学习 · 统计学 2023-09-15 Mihaela Rosca , Yan Wu , Chongli Qin , Benoit Dherin

Unsupervised anomaly detection is often framed around two widely studied paradigms. Deep one-class classification, exemplified by Deep SVDD, learns compact latent representations of normality, while density estimators realized by…

机器学习 · 计算机科学 2025-10-13 Faried Abu Zaid , Tim Katzke , Emmanuel Müller , Daniel Neider

Highly expressive directed latent variable models, such as sigmoid belief networks, are difficult to train on large datasets because exact inference in them is intractable and none of the approximate inference methods that have been applied…

机器学习 · 计算机科学 2016-06-06 Andriy Mnih , Karol Gregor

Bayesian inference with computationally expensive likelihood evaluations remains a significant challenge in many scientific domains. We propose normalizing flow regression (NFR), a novel offline inference method for approximating posterior…

机器学习 · 统计学 2025-04-17 Chengkun Li , Bobby Huggins , Petrus Mikkola , Luigi Acerbi

Normalizing flows (NFs) have become a prominent method for deep generative models that allow for an analytic probability density estimation and efficient synthesis. However, a flow-based network is considered to be inefficient in parameter…

机器学习 · 计算机科学 2020-10-26 Sang-gil Lee , Sungwon Kim , Sungroh Yoon

Density regression models allow a comprehensive understanding of data by modeling the complete conditional probability distribution. While flexible estimation approaches such as normalizing flows (NF) work particularly well in multiple…

机器学习 · 统计学 2025-06-13 Marcel Arpogaus , Thomas Kneib , Thomas Nagler , David Rügamer

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…

机器学习 · 统计学 2022-02-16 Edmond Cunningham , Adam Cobb , Susmit Jha

Normalizing Flows (NFs) are flexible explicit generative models that have been shown to accurately model complex real-world data distributions. However, their invertibility constraint imposes limitations on data distributions that reside on…

计算机视觉与模式识别 · 计算机科学 2022-08-19 Janis Postels , Martin Danelljan , Luc Van Gool , Federico Tombari