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We introduce a novel and scalable Bayesian framework for multivariate-density-density regression (DDR), designed to model relationships between multivariate distributions. Our approach addresses the critical issue of distributions residing…

统计方法学 · 统计学 2025-09-24 Khai Nguyen , Yang Ni , Peter Mueller

Learning the cumulative distribution function (CDF) of an outcome variable conditional on a set of features remains challenging, especially in high-dimensional settings. Conditional transformation models provide a semi-parametric approach…

机器学习 · 计算机科学 2021-10-05 Philipp F. M. Baumann , Torsten Hothorn , David Rügamer

We address the problem of Bayesian reinforcement learning using efficient model-based online planning. We propose an optimism-free Bayes-adaptive algorithm to induce deeper and sparser exploration with a theoretical bound on its performance…

机器学习 · 计算机科学 2020-06-30 Divya Grover , Debabrota Basu , Christos Dimitrakakis

Diffusion models have recently attained significant interest within the community owing to their strong performance as generative models. Furthermore, its application to inverse problems have demonstrated state-of-the-art performance.…

图像与视频处理 · 电气工程与系统科学 2022-03-22 Hyungjin Chung , Byeongsu Sim , Jong Chul Ye

We propose a new sampling-based approach for approximate inference in filtering problems. Instead of approximating conditional distributions with a finite set of states, as done in particle filters, our approach approximates the…

机器学习 · 计算机科学 2020-03-03 Xuan Su , Wee Sun Lee , Zhen Zhang

Many statistical models can be simulated forwards but have intractable likelihoods. Approximate Bayesian Computation (ABC) methods are used to infer properties of these models from data. Traditionally these methods approximate the posterior…

机器学习 · 统计学 2018-04-03 George Papamakarios , Iain Murray

We focus on the problem of streaming recommender system and explore novel collaborative filtering algorithms to handle the data dynamicity and complexity in a streaming manner. Although deep neural networks have demonstrated the…

机器学习 · 计算机科学 2019-06-12 Qingquan Song , Shiyu Chang , Xia Hu

Density regression provides a flexible strategy for modeling the distribution of a response variable $Y$ given predictors $\mathbf{X}=(X_1,\ldots,X_p)$ by letting that the conditional density of $Y$ given $\mathbf{X}$ as a completely…

统计理论 · 数学 2016-01-07 Weining Shen , Subhashis Ghosal

Recent advances in communications, mobile computing, and artificial intelligence have greatly expanded the application space of intelligent distributed sensor networks. This in turn motivates the development of generalized Bayesian…

机器人学 · 计算机科学 2013-08-15 Nisar Ahmed , Tsung-Lin Yang , Mark Campbell

Many Bayesian inference problems involve target distributions whose density functions are computationally expensive to evaluate. Replacing the target density with a local approximation based on a small number of carefully chosen density…

统计计算 · 统计学 2022-07-13 Andrew D. Davis , Youssef Marzouk , Aaron Smith , Natesh Pillai

A fundamental challenge in Bayesian inference is efficient representation of a target distribution. Many non-parametric approaches do so by sampling a large number of points using variants of Markov Chain Monte Carlo (MCMC). We propose an…

机器学习 · 计算机科学 2022-04-25 Cole Hawkins , Alec Koppel , Zheng Zhang

Bayesian causal inference offers a principled approach to policy evaluation of proposed interventions on mediators or time-varying exposures. We outline a general approach to the estimation of causal quantities for settings with…

统计方法学 · 统计学 2019-02-28 Leah Comment , Brent A. Coull , Corwin Zigler , Linda Valeri

In this chapter, we address the challenge of exploring the posterior distributions of Bayesian inverse problems with computationally intensive forward models. We consider various multivariate proposal distributions, and compare them with…

统计计算 · 统计学 2024-05-02 Mikkel B. Lykkegaard , Colin Fox , Dave Higdon , C. Shane Reese , J. David Moulton

Understanding of the pathophysiology of obstructive lung disease (OLD) is limited by available methods to examine the relationship between multi-omic molecular phenomena and clinical outcomes. Integrative factorization methods for…

统计方法学 · 统计学 2022-12-01 Sarah Samorodnitsky , Chris H. Wendt , Eric F. Lock

Approximate confidence distribution computing (ACDC) offers a new take on the rapidly developing field of likelihood-free inference from within a frequentist framework. The appeal of this computational method for statistical inference…

统计方法学 · 统计学 2022-10-13 Suzanne Thornton , Wentao Li , Minge Xie

Yang et al. (2016) proved that the symmetric random walk Metropolis--Hastings algorithm for Bayesian variable selection is rapidly mixing under mild high-dimensional assumptions. We propose a novel MCMC sampler using an informed proposal…

统计方法学 · 统计学 2022-04-26 Quan Zhou , Jun Yang , Dootika Vats , Gareth O. Roberts , Jeffrey S. Rosenthal

The Bayesian elastic net regression model is characterized by the regression coefficient prior distribution, the negative log density of which corresponds to the elastic net penalty function. While Markov chain Monte Carlo (MCMC) methods…

统计计算 · 统计学 2025-01-03 Christopher M. Hans , Ningyi Liu

Conditional density estimation (CDE) is the task of estimating the probability of an event conditioned on some inputs. A neural network (NN) can also be used to compute the output distribution for continuous-domain, which can be viewed as…

机器学习 · 计算机科学 2021-12-30 Bing Chen , Mazharul Islam , Jisuo Gao , Lin Wang

We propose a novel nonparametric online predictor for discrete labels conditioned on multivariate continuous features. The predictor is based on a feature space discretization induced by a full-fledged k-d tree with randomly picked…

机器学习 · 计算机科学 2020-02-03 Alix Lhéritier , Frédéric Cazals

We present a new approach to semiparametric inference using corrected posterior distributions. The method allows us to leverage the adaptivity, regularization and predictive power of nonparametric Bayesian procedures to estimate…

统计方法学 · 统计学 2023-06-21 Andrew Yiu , Edwin Fong , Chris Holmes , Judith Rousseau