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Bayesian methods of sampling from a posterior distribution are becoming increasingly popular due to their ability to precisely display the uncertainty of a model fit. Classical methods based on iterative random sampling and posterior…

机器学习 · 统计学 2022-11-04 Jacopo Guidolin , Vyacheslav Kungurtsev , Ondřej Kuželka

We develop a new method to sample from posterior distributions in hierarchical models without using Markov chain Monte Carlo. This method, which is a variant of importance sampling ideas, is generally applicable to high-dimensional models…

统计计算 · 统计学 2015-03-19 Michael Braun , Paul Damien

We describe an R package developed by the research group Turbulence, Wind energy and Stochastics (TWiSt) at the Carl von Ossietzky University of Oldenburg, which extracts the (stochastic) evolution equation underlying a set of data or…

数据分析、统计与概率 · 物理学 2016-08-30 Philip Rinn , Pedro G. Lind , Matthias Wächter , Joachim Peinke

A fully Bayesian treatment of complicated predictive models (such as deep neural networks) would enable rigorous uncertainty quantification and the automation of higher-level tasks including model selection. However, the intractability of…

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

机器学习 · 统计学 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

Diffusion models have quickly risen in popularity for their ability to model complex distributions and perform effective posterior sampling. Unfortunately, the iterative nature of these generative models makes them computationally expensive…

计算机视觉与模式识别 · 计算机科学 2025-03-25 Tristan S. W. Stevens , Oisín Nolan , Jean-Luc Robert , Ruud J. G. van Sloun

Latent autoregressive processes are a popular choice to model time varying parameters. These models can be formulated as nonlinear state space models for which inference is not straightforward due to the high number of parameters. Therefore…

统计计算 · 统计学 2019-11-01 Alexander Kreuzer , Claudia Czado

Generalized autoregressive score (GAS) models are a class of observation-driven time series models that employ the score to dynamically update time-varying parameters of the underlying probability distribution. GAS models have been…

统计计算 · 统计学 2024-05-09 Vladimír Holý

State of the art large language models rely on randomization to respond to a prompt. As an immediate consequence, a model may respond differently to the same prompt if asked multiple times. In this work, we argue that the evaluation and…

Vector autoregressive models characterize a variety of time series in which linear combinations of current and past observations can be used to accurately predict future observations. For instance, each element of an observation vector…

机器学习 · 统计学 2017-06-27 Eric C. Hall , Garvesh Raskutti , Rebecca Willett

Autoregressive language models are the currently dominant paradigm for text generation, but they have some fundamental limitations that cannot be remedied by scale-for example inherently sequential and unidirectional generation. While…

We propose a sample-based, sequential method to abstract a (potentially black-box) dynamical system with a sequence of memory-dependent Markov chains of increasing size. We show that this approximation allows to alleviating a correlation…

系统与控制 · 电气工程与系统科学 2022-12-06 Adrien Banse , Licio Romao , Alessandro Abate , Raphaël M. Jungers

Analogue to the well-known Langevin Monte Carlo method, in this article we provide a method to sample from a target distribution \(\pi\) by simulating a solution of a stochastic differential equation. Hereby, the stochastic differential…

概率论 · 数学 2023-03-15 David Oechsler

Autoregressive neural network models have been used successfully for sequence generation, feature extraction, and hypothesis scoring. This paper presents yet another use for these models: allocating more computation to more difficult…

机器学习 · 计算机科学 2020-06-03 Loren Lugosch , Derek Nowrouzezahrai , Brett H. Meyer

Controllable generation, which enables fine-grained control over generated outputs, has emerged as a critical focus in visual generative models. Currently, there are two primary technical approaches in visual generation: diffusion models…

计算机视觉与模式识别 · 计算机科学 2024-10-08 Ziyu Yao , Jialin Li , Yifeng Zhou , Yong Liu , Xi Jiang , Chengjie Wang , Feng Zheng , Yuexian Zou , Lei Li

This paper presents a novel approach to imitation learning from observations, where an autoregressive mixture of experts model is deployed to fit the underlying policy. The parameters of the model are learned via a two-stage framework. By…

机器学习 · 计算机科学 2024-11-14 Renzi Wang , Flavia Sofia Acerbo , Tong Duy Son , Panagiotis Patrinos

Autoregressive neural vocoders have achieved outstanding performance in speech synthesis tasks such as text-to-speech and voice conversion. An autoregressive vocoder predicts a sample at some time step conditioned on those at previous time…

声音 · 计算机科学 2024-06-06 Po-chun Hsu , Da-rong Liu , Andy T. Liu , Hung-yi Lee

We demonstrate a conditional autoregressive pipeline for efficient music recomposition, based on methods presented in van den Oord et al.(2017). Recomposition (Casal & Casey, 2010) focuses on reworking existing musical pieces, adhering to…

声音 · 计算机科学 2018-11-20 Kyle Kastner , Rithesh Kumar , Tim Cooijmans , Aaron Courville

Purpose: The Unadjusted Langevin Algorithm (ULA) in combination with diffusion models can generate high quality MRI reconstructions with uncertainty estimation from highly undersampled k-space data. However, sampling methods such as…

医学物理 · 物理学 2026-05-26 Moritz Blumenthal , Tina Holliber , Jonathan I. Tamir , Martin Uecker

We consider the problem of defining and fitting models of autoregressive time series of probability distributions on a compact interval of $\mathbb{R}$. An order-$1$ autoregressive model in this context is to be understood as a Markov…

统计方法学 · 统计学 2023-03-17 Laya Ghodrati , Victor M. Panaretos