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We introduce a novel Bayesian hybrid matrix factorisation model (HMF) for data integration, based on combining multiple matrix factorisation methods, that can be used for in- and out-of-matrix prediction of missing values. The model is very…

机器学习 · 统计学 2017-04-18 Thomas Brouwer , Pietro Lió

There are two major types of uncertainty one can model. Aleatoric uncertainty captures noise inherent in the observations. On the other hand, epistemic uncertainty accounts for uncertainty in the model -- uncertainty which can be explained…

计算机视觉与模式识别 · 计算机科学 2017-10-06 Alex Kendall , Yarin Gal

Many data-driven approaches exist to extract neural representations of functional magnetic resonance imaging (fMRI) data, but most of them lack a proper probabilistic formulation. We propose a group level scalable probabilistic sparse…

The question-answering (QA) capabilities of foundation models are highly sensitive to prompt variations, rendering their performance susceptible to superficial, non-meaning-altering changes. This vulnerability often stems from the model's…

机器学习 · 计算机科学 2024-06-07 Dyah Adila , Shuai Zhang , Boran Han , Yuyang Wang

Variational inference (VI) is a computationally efficient and scalable methodology for approximate Bayesian inference. It strikes a balance between accuracy of uncertainty quantification and practical tractability. It excels at generative…

Software systems with large parameter spaces, nondeterminism and high computational cost are challenging to test. Recently, software testing techniques based on causal inference have been successfully applied to systems that exhibit such…

软件工程 · 计算机科学 2025-04-28 Michael Foster , Robert M. Hierons , Donghwan Shin , Neil Walkinshaw , Christopher Wild

The recent availability of huge, many-dimensional data sets, like those arising from genome-wide association studies (GWAS), provides many opportunities for strengthening causal inference. One popular approach is to utilize these…

机器学习 · 统计学 2020-12-21 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

机器学习 · 统计学 2025-12-22 Yuli Slavutsky , David M. Blei

Data fusion techniques integrate information from heterogeneous data sources to improve learning, generalization, and decision making across data sciences. In causal inference, these methods leverage rich observational data to improve…

统计方法学 · 统计学 2025-06-02 Quinn Lanners , Cynthia Rudin , Alexander Volfovsky , Harsh Parikh

We develop a Bayesian vector autoregressive (VAR) model with multivariate stochastic volatility that is capable of handling vast dimensional information sets. Three features are introduced to permit reliable estimation of the model. First,…

统计计算 · 统计学 2020-03-12 Gregor Kastner , Florian Huber

This paper presents a machine learning framework for Bayesian systems identification from noisy, sparse and irregular observations of nonlinear dynamical systems. The proposed method takes advantage of recent developments in differentiable…

机器学习 · 计算机科学 2020-04-21 Yibo Yang , Mohamed Aziz Bhouri , Paris Perdikaris

Neural networks predictions are unreliable when the input sample is out of the training distribution or corrupted by noise. Being able to detect such failures automatically is fundamental to integrate deep learning algorithms into robotics.…

计算机视觉与模式识别 · 计算机科学 2020-02-18 Antonio Loquercio , Mattia Segù , Davide Scaramuzza

In many problems of data-driven modeling for dynamical systems, the governing equations are not known a priori and must be selected phenomenologically from a large set of candidate interactions and basis functions. In such situations, point…

应用统计 · 统计学 2026-04-14 Shuhei Kashiwamura , Yusuke Kato , Hiroshi Kori , Masato Okada

In this paper, we present a Bayesian view on model-based reinforcement learning. We use expert knowledge to impose structure on the transition model and present an efficient learning scheme based on variational inference. This scheme is…

机器学习 · 计算机科学 2019-07-12 Markus Kaiser , Clemens Otte , Thomas Runkler , Carl Henrik Ek

The model interpretation is essential in many application scenarios and to build a classification model with a ease of model interpretation may provide useful information for further studies and improvement. It is common to encounter with a…

机器学习 · 统计学 2019-01-07 Wan-Ping Nicole Chen , Yuan-chin Ivan Chang

Variational Bayesian neural nets combine the flexibility of deep learning with Bayesian uncertainty estimation. Unfortunately, there is a tradeoff between cheap but simple variational families (e.g.~fully factorized) or expensive and…

机器学习 · 计算机科学 2018-02-27 Guodong Zhang , Shengyang Sun , David Duvenaud , Roger Grosse

Uncertainty quantification is at the core of the reliability and robustness of machine learning. In this paper, we provide a theoretical framework to dissect the uncertainty, especially the \textit{epistemic} component, in deep learning…

机器学习 · 计算机科学 2023-06-21 Ziyi Huang , Henry Lam , Haofeng Zhang

We develop a variational Bayes approach for dynamic variable selection in high-dimensional regression models with time-varying parameters and predictors that exhibit a predefined group structure. Through comprehensive simulation studies, we…

统计方法学 · 统计学 2025-04-16 Nicolas Bianco , Mauro Bernardi , Daniele Bianchi

Vertical federated learning (VFL) has emerged as a paradigm for collaborative model estimation across multiple clients, each holding a distinct set of covariates. This paper introduces the first comprehensive framework for fitting Bayesian…

统计计算 · 统计学 2024-05-08 Conor Hassan , Matthew Sutton , Antonietta Mira , Kerrie Mengersen

How can we perform efficient inference and learning in directed probabilistic models, in the presence of continuous latent variables with intractable posterior distributions, and large datasets? We introduce a stochastic variational…

机器学习 · 统计学 2022-12-13 Diederik P Kingma , Max Welling