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Eliciting a high-dimensional probability distribution from an expert via noisy judgments is notoriously challenging, yet useful for many applications, such as prior elicitation and reward modeling. We introduce a method for eliciting the…

机器学习 · 计算机科学 2024-10-17 Petrus Mikkola , Luigi Acerbi , Arto Klami

A central characteristic of Bayesian statistics is the ability to consistently incorporate prior knowledge into various modeling processes. In this paper, we focus on translating domain expert knowledge into corresponding prior…

统计方法学 · 统计学 2024-04-16 Florence Bockting , Stefan T. Radev , Paul-Christian Bürkner

We present a framework for learning probability distributions on topologically non-trivial manifolds, utilizing normalizing flows. Current methods focus on manifolds that are homeomorphic to Euclidean space, enforce strong structural priors…

机器学习 · 计算机科学 2022-07-12 Dimitris Kalatzis , Johan Ziruo Ye , Alison Pouplin , Jesper Wohlert , Søren Hauberg

Based on the manifold hypothesis, real-world data often lie on a low-dimensional manifold, while normalizing flows as a likelihood-based generative model are incapable of finding this manifold due to their structural constraints. So, one…

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 provide a general mechanism for defining expressive probability distributions, only requiring the specification of a (usually simple) base distribution and a series of bijective transformations. There has been much recent…

Explicit density learners are becoming an increasingly popular technique for generative models because of their ability to better model probability distributions. They have advantages over Generative Adversarial Networks due to their…

机器学习 · 计算机科学 2025-06-27 Steven Walton , Valeriy Klyukin , Maksim Artemev , Denis Derkach , Nikita Orlov , Humphrey Shi

The prior distribution for the unknown model parameters plays a crucial role in the process of statistical inference based on Bayesian methods. However, specifying suitable priors is often difficult even when detailed prior knowledge is…

统计方法学 · 统计学 2020-03-18 Marcelo Hartmann , Georgi Agiashvili , Paul Bürkner , Arto Klami

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…

软凝聚态物质 · 物理学 2024-09-16 Gerhard Jung , Giulio Biroli , Ludovic Berthier

Bayesian inference allows the transparent communication of uncertainty in material flow analyses (MFAs), and a systematic update of uncertainty as new data become available. However, the method is undermined by the difficultly of defining…

应用统计 · 统计学 2024-03-28 Jiayuan Dong , Jiankan Liao , Xun Huan , Daniel Cooper

Normalizing flows are a class of generative models that enable exact likelihood evaluation. While these models have already found various applications in particle physics, normalizing flows are not flexible enough to model many of the…

高能物理 - 唯象学 · 物理学 2022-09-07 Rob Verheyen

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…

机器学习 · 计算机科学 2023-06-21 Valentyn Melnychuk , Dennis Frauen , Stefan Feuerriegel

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…

机器学习 · 统计学 2020-10-27 Jonas Köhler , Leon Klein , Frank Noé

Safe and reliable state estimation techniques are a critical component of next-generation robotic systems. Agents in such systems must be able to reason about the intentions and trajectories of other agents for safe and efficient motion…

机器人学 · 计算机科学 2023-06-28 Harrison Delecki , Liam A. Kruse , Marc R. Schlichting , Mykel J. Kochenderfer

In many scientific applications, the target probability distribution cannot be evaluated in closed form or sampled from directly. Instead, it can often be decomposed into multiple components, some of which are accessible only through…

统计方法学 · 统计学 2026-03-10 Roxana Darvishi , David C. Stenning , Ted von Hippel , Owen G. Ward

Normalizing flows provide an elegant approach to generative modeling that allows for efficient sampling and exact density evaluation of unknown data distributions. However, current techniques have significant limitations in their…

机器学习 · 计算机科学 2022-06-22 Sahil Sidheekh , Chris B. Dock , Tushar Jain , Radu Balan , Maneesh K. Singh

Recently, there has been a surge of interest in incorporating neural networks into particle filters, e.g. differentiable particle filters, to perform joint sequential state estimation and model learning for non-linear non-Gaussian…

机器学习 · 计算机科学 2025-01-07 Xiongjie Chen , Yunpeng Li

Normalizing flows are generative models that provide tractable density estimation via an invertible transformation from a simple base distribution to a complex target distribution. However, this technique cannot directly model data…

机器学习 · 统计学 2021-11-15 Brendan Leigh Ross , Jesse C. Cresswell

Normalizing Flows are generative models which produce tractable distributions where both sampling and density evaluation can be efficient and exact. The goal of this survey article is to give a coherent and comprehensive review of the…

机器学习 · 统计学 2020-06-09 Ivan Kobyzev , Simon J. D. Prince , Marcus A. Brubaker

Normalizing flows are powerful non-parametric statistical models that function as a hybrid between density estimators and generative models. Current learning algorithms for normalizing flows assume that data points are sampled…

机器学习 · 计算机科学 2023-05-31 Matthias Kirchler , Christoph Lippert , Marius Kloft
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