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We study the time-averaged flow in a model of particles that randomly hop on a finite directed graph. In the limit as the number of particles and the time window go to infinity but the graph remains finite, the large-deviation rate…

统计力学 · 物理学 2020-12-02 Davide Gabrielli , D. R. Michiel Renger

In the past, normalizing generative flows have emerged as a promising class of generative models for natural images. This type of model has many modeling advantages: the ability to efficiently compute log-likelihood of the input data, fast…

计算机视觉与模式识别 · 计算机科学 2024-12-20 Alexander Kolesnikov , André Susano Pinto , Michael Tschannen

We introduce a method for reconstructing an infinitesimal normalizing flow given only an infinitesimal change to a (possibly unnormalized) probability distribution. This reverses the conventional task of normalizing flows -- rather than…

机器学习 · 统计学 2020-12-04 David Pfau , Danilo Rezende

A normalizing flow is an invertible mapping between an arbitrary probability distribution and a standard normal distribution; it can be used for density estimation and statistical inference. Computing the flow follows the change of…

机器学习 · 计算机科学 2021-12-10 Derek Onken , Samy Wu Fung , Xingjian Li , Lars Ruthotto

In this paper, we consider the interpretability of the foundational Laplacian-based semi-supervised learning approaches on graphs. We introduce a novel flow-based learning framework that subsumes the foundational approaches and additionally…

机器学习 · 统计学 2019-01-14 Raif M. Rustamov , James T. Klosowski

Differentiable particle filters provide a flexible mechanism to adaptively train dynamic and measurement models by learning from observed data. However, most existing differentiable particle filters are within the bootstrap particle…

人工智能 · 计算机科学 2021-11-11 Xiongjie Chen , Hao Wen , Yunpeng Li

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

Identifying the intrinsic coordinates or modes of the dynamical systems is essential to understand, analyze, and characterize the underlying dynamical behaviors of complex systems. For nonlinear dynamical systems, this presents a critical…

混沌动力学 · 物理学 2025-01-27 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

Differential linear logic (DiLL) provides a fine analysis of resource consumption in cut-elimination. We investigate the subsystem of DiLL without promotion in a deep inference formalism, where cuts are at an atomic level. In our system…

计算机科学中的逻辑 · 计算机科学 2022-01-03 Matteo Acclavio , Giulio Guerrieri

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…

机器学习 · 计算机科学 2019-11-07 Zhisheng Xiao , Qing Yan , Yali Amit

Normalizing flows have received a great deal of recent attention as they allow flexible generative modeling as well as easy likelihood computation. While a wide variety of flow models have been proposed, there is little formal understanding…

机器学习 · 计算机科学 2020-06-02 Zhifeng Kong , Kamalika Chaudhuri

Normalizing flows are objects used for modeling complicated probability density functions, and have attracted considerable interest in recent years. Many flexible families of normalizing flows have been developed. However, the focus to date…

统计方法学 · 统计学 2023-01-18 Tin Lok James Ng , Andrew Zammit-Mangion

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

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

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

Alongside optimization-based planners, sampling-based approaches are often used in trajectory planning for autonomous driving due to their simplicity. Model predictive path integral control is a framework that builds upon optimization…

机器人学 · 计算机科学 2026-02-09 Georg Rabenstein , Lars Ullrich , Knut Graichen

This paper introduces a new notion of quantum recursion of which the control flow of the computation is quantum rather than classical as in the notions of recursion considered in the previous studies of quantum programming. A typical…

量子物理 · 物理学 2014-08-07 Mingsheng Ying

Understanding the dynamics of complex molecular processes is often linked to the study of infrequent transitions between long-lived stable states. The standard approach to the sampling of such rare events is to generate an ensemble of…

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

The normalization constraint on probability density poses a significant challenge for solving the Fokker-Planck equation. Normalizing Flow, an invertible generative model leverages the change of variables formula to ensure probability…

机器学习 · 计算机科学 2023-09-28 Feng Liu , Faguo Wu , Xiao Zhang