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Semi-implicit variational inference (SIVI) is introduced to expand the commonly used analytic variational distribution family, by mixing the variational parameter with a flexible distribution. This mixing distribution can assume any density…

机器学习 · 统计学 2018-05-30 Mingzhang Yin , Mingyuan Zhou

We extend the existing framework of semi-implicit variational inference (SIVI) and introduce doubly semi-implicit variational inference (DSIVI), a way to perform variational inference and learning when both the approximate posterior and the…

机器学习 · 统计学 2019-03-19 Dmitry Molchanov , Valery Kharitonov , Artem Sobolev , Dmitry Vetrov

Semi-implicit variational inference (SIVI) enhances the expressiveness of variational families through hierarchical semi-implicit distributions, but the intractability of their densities makes standard ELBO-based optimization biased. Recent…

机器学习 · 统计学 2026-01-21 Longlin Yu , Ziheng Cheng , Shiyue Zhang , Cheng Zhang

Semi-implicit variational inference (SIVI) greatly enriches the expressiveness of variational families by considering implicit variational distributions defined in a hierarchical manner. However, due to the intractable densities of…

机器学习 · 统计学 2023-08-22 Longlin Yu , Cheng Zhang

Semi-implicit variational inference (SIVI) extends traditional variational families with semi-implicit distributions defined in a hierarchical manner. Due to the intractable densities of semi-implicit distributions, classical SIVI often…

机器学习 · 统计学 2024-05-30 Ziheng Cheng , Longlin Yu , Tianyu Xie , Shiyue Zhang , Cheng Zhang

Semi-implicit variational inference (SIVI) enriches the expressiveness of variational families by utilizing a kernel and a mixing distribution to hierarchically define the variational distribution. Existing SIVI methods parameterize the…

机器学习 · 统计学 2025-01-16 Jen Ning Lim , Adam M. Johansen

Semi-implicit distributions have shown great promise in variational inference and generative modeling. Hierarchical semi-implicit models, which stack multiple semi-implicit layers, enhance the expressiveness of semi-implicit distributions…

机器学习 · 统计学 2025-06-10 Longlin Yu , Jiajun Zha , Tong Yang , Tianyu Xie , Xiangyu Zhang , S. -H. Gary Chan , Cheng Zhang

In this paper, we propose CI-VI an efficient and scalable solver for semi-implicit variational inference (SIVI). Our method, first, maps SIVI's evidence lower bound (ELBO) to a form involving a nonlinear functional nesting of expected…

机器学习 · 计算机科学 2021-01-18 Vincent Moens , Hang Ren , Alexandre Maraval , Rasul Tutunov , Jun Wang , Haitham Ammar

We develop unbiased implicit variational inference (UIVI), a method that expands the applicability of variational inference by defining an expressive variational family. UIVI considers an implicit variational distribution obtained in a…

机器学习 · 统计学 2019-02-07 Michalis K. Titsias , Francisco J. R. Ruiz

Implicit probabilistic models are a flexible class of models defined by a simulation process for data. They form the basis for theories which encompass our understanding of the physical world. Despite this fundamental nature, the use of…

机器学习 · 统计学 2017-11-07 Dustin Tran , Rajesh Ranganath , David M. Blei

Semi-implicit variational inference (SIVI) is a powerful framework for approximating complex posterior distributions, but training with the Kullback-Leibler (KL) divergence can be challenging due to high variance and bias in…

机器学习 · 计算机科学 2025-06-06 Tobias Pielok , Bernd Bischl , David Rügamer

We propose Diffusion Model Variational Inference (DMVI), a novel method for automated approximate inference in probabilistic programming languages (PPLs). DMVI utilizes diffusion models as variational approximations to the true posterior…

机器学习 · 计算机科学 2023-11-23 Simon Dirmeier , Fernando Perez-Cruz

Spatial statistics often rely on Gaussian processes (GPs) to capture dependencies across locations. However, their computational cost increases rapidly with the number of locations, potentially needing multiple hours even for moderate…

统计计算 · 统计学 2025-10-23 Sébastien Garneau , Carlos T. P. Zanini , Alexandra M. Schmidt

We propose denoising diffusion variational inference (DDVI), a black-box variational inference algorithm for latent variable models which relies on diffusion models as flexible approximate posteriors. Specifically, our method introduces an…

机器学习 · 计算机科学 2026-03-16 Wasu Top Piriyakulkij , Yingheng Wang , Volodymyr Kuleshov

Recent years have witnessed growing interest in semi-implicit variational inference (SIVI) methods due to their ability to rapidly generate samples from complex distributions. However, since the likelihood of these samples is non-trivial to…

机器学习 · 计算机科学 2025-06-05 Tobias Pielok , Bernd Bischl , David Rügamer

The Hierarchical Inference (HI) paradigm employs a tiered processing: the inference from simple data samples are accepted at the end device, while complex data samples are offloaded to the central servers. HI has recently emerged as an…

分布式、并行与集群计算 · 计算机科学 2024-06-17 Adarsh Prasad Behera , Roberto Morabito , Joerg Widmer , Jaya Prakash Champati

We present Sequential Neural Variational Inference (SNVI), an approach to perform Bayesian inference in models with intractable likelihoods. SNVI combines likelihood-estimation (or likelihood-ratio-estimation) with variational inference to…

机器学习 · 统计学 2022-10-20 Manuel Glöckler , Michael Deistler , Jakob H. Macke

Recently, Stochastic Variational Inference (SVI) has been increasingly attractive thanks to its ability to find good posterior approximations of probabilistic models. It optimizes the variational objective with stochastic optimization,…

机器学习 · 计算机科学 2022-03-16 Minta Liu , Suliang Bu

Variational inference (VI) is a popular method for approximating intractable posterior distributions in Bayesian inference and probabilistic machine learning. In this paper, we introduce a general framework for quantifying the statistical…

统计理论 · 数学 2025-07-18 Chenyang Zhong , Sumit Mukherjee , Bodhisattva Sen

We develop nested variational inference (NVI), a family of methods that learn proposals for nested importance samplers by minimizing an forward or reverse KL divergence at each level of nesting. NVI is applicable to many commonly-used…

机器学习 · 统计学 2021-06-22 Heiko Zimmermann , Hao Wu , Babak Esmaeili , Jan-Willem van de Meent
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