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The global inducing point variational approximation for BNNs is based on using a set of inducing inputs to construct a series of conditional distributions that accurately approximate the conditionals of the true posterior distribution. Our…

机器学习 · 统计学 2023-10-25 Matthew Ashman , Tommy Rochussen , Adrian Weller

Due to their uncertainty quantification, Bayesian solutions to inverse problems are the framework of choice in applications that are risk averse. These benefits come at the cost of computations that are in general, intractable. New advances…

机器学习 · 计算机科学 2024-05-10 Rafael Orozco , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann

State-of-the-art neural network-based methods for learning summary statistics have delivered promising results for simulation-based likelihood-free parameter inference. Existing approaches require density estimation as a post-processing…

Efficient exploration is one of the most important issues in deep reinforcement learning. To address this issue, recent methods consider the value function parameters as random variables, and resort variational inference to approximate the…

机器学习 · 计算机科学 2020-11-04 Haotian Zhang , Yuhao Wang , Jianyong Sun , Zongben Xu

The core principle of Variational Inference (VI) is to convert the statistical inference problem of computing complex posterior probability densities into a tractable optimization problem. This property enables VI to be faster than several…

机器学习 · 计算机科学 2023-10-25 Ankush Ganguly , Sanjana Jain , Ukrit Watchareeruetai

Learning the kernel parameters for Gaussian processes is often the computational bottleneck in applications such as online learning, Bayesian optimization, or active learning. Amortizing parameter inference over different datasets is a…

机器学习 · 计算机科学 2023-06-19 Matthias Bitzer , Mona Meister , Christoph Zimmer

Frequently, population studies feature pyramidally-organized data represented using Hierarchical Bayesian Models (HBM) enriched with plates. These models can become prohibitively large in settings such as neuroimaging, where a sample is…

机器学习 · 计算机科学 2022-03-09 Louis Rouillard , Demian Wassermann

Classic Bayesian methods with complex models are frequently infeasible due to an intractable likelihood. Simulation-based inference methods, such as Approximate Bayesian Computing (ABC), calculate posteriors without accessing a likelihood…

统计计算 · 统计学 2026-01-09 Elliot Maceda , Emily C. Hector , Amanda Lenzi , Brian J. Reich

Contaminant observations and outliers often cause problems when estimating the parameters of cognitive models, which are statistical models representing cognitive processes. In this study, we test and improve the robustness of parameter…

机器学习 · 统计学 2025-11-13 Yufei Wu , Stefan T. Radev , Francis Tuerlinckx

Bayesian inference usually requires running potentially costly inference procedures separately for every new observation. In contrast, the idea of amortized Bayesian inference is to initially invest computational cost in training an…

机器学习 · 计算机科学 2023-05-25 Manuel Glöckler , Michael Deistler , Jakob H. Macke

We propose Amortized Posterior Sampling (APS), a novel variational inference approach for efficient posterior sampling in inverse problems. Our method trains a conditional flow model to minimize the divergence between the variational…

计算机视觉与模式识别 · 计算机科学 2025-07-14 Abbas Mammadov , Hyungjin Chung , Jong Chul Ye

We propose a novel amortized variational inference scheme for an empirical Bayes meta-learning model, where model parameters are treated as latent variables. We learn the prior distribution over model parameters conditioned on limited…

机器学习 · 计算机科学 2020-08-31 Ekaterina Iakovleva , Jakob Verbeek , Karteek Alahari

We develop amortized population Gibbs (APG) samplers, a class of scalable methods that frames structured variational inference as adaptive importance sampling. APG samplers construct high-dimensional proposals by iterating over updates to…

机器学习 · 统计学 2020-07-13 Hao Wu , Heiko Zimmermann , Eli Sennesh , Tuan Anh Le , Jan-Willem van de Meent

Discrete choice models are fundamental tools in management science, economics, and marketing for understanding and predicting decision-making. Logit-based models are dominant in applied work, largely due to their convenient closed-form…

统计方法学 · 统计学 2026-04-06 Easton Huch , Michael Keane

We present a likelihood-free probabilistic inversion method based on normalizing flows for high-dimensional inverse problems. The proposed method is composed of two complementary networks: a summary network for data compression and an…

机器学习 · 计算机科学 2024-12-30 Jice Zeng , Yuanzhe Wang , Alexandre M. Tartakovsky , David Barajas-Solano

Sensitivity analyses reveal the influence of various modeling choices on the outcomes of statistical analyses. While theoretically appealing, they are overwhelmingly inefficient for complex Bayesian models. In this work, we propose…

Detached eclipsing binaries (DEBs) enable direct inference of stellar and orbital properties across diverse stellar populations. However, inference typically requires computationally intensive forward modeling and radial velocity (RV)…

太阳与恒星天体物理 · 物理学 2026-04-23 Jacqueline Blaum Hough , Joshua S. Bloom

Amortized inference allows latent-variable models trained via variational learning to scale to large datasets. The quality of approximate inference is determined by two factors: a) the capacity of the variational distribution to match the…

机器学习 · 计算机科学 2018-05-29 Chris Cremer , Xuechen Li , David Duvenaud

Generalized Bayesian Inference (GBI) tempers a loss with a temperature $\beta > 0$ to mitigate overconfidence and improve robustness under model misspecification, but existing GBI methods typically rely on costly MCMC or SDE-based samplers…

机器学习 · 统计学 2026-05-25 Shiyi Sun , Geoff K. Nicholls , Jeong Eun Lee

Complex simulator-based models are now routinely used to perform inference across the sciences and engineering, but existing inference methods are often unable to account for outliers and other extreme values in data which occur due to…

机器学习 · 统计学 2026-02-18 Ayush Bharti , Charita Dellaporta , Yuga Hikida , François-Xavier Briol