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Fully supervised models are predominant in Bayesian active learning. We argue that their neglect of the information present in unlabelled data harms not just predictive performance but also decisions about what data to acquire. Our proposed…

Machine Learning · Computer Science 2024-04-29 Freddie Bickford Smith , Adam Foster , Tom Rainforth

Machine learning interatomic force fields are promising for combining high computational efficiency and accuracy in modeling quantum interactions and simulating atomistic dynamics. Active learning methods have been recently developed to…

Computational Physics · Physics 2023-03-07 Yu Xie , Jonathan Vandermause , Senja Ramakers , Nakib H. Protik , Anders Johansson , Boris Kozinsky

We propose an active learning method for discovering low-dimensional structure in high-dimensional Gaussian process (GP) tasks. Such problems are increasingly frequent and important, but have hitherto presented severe practical…

Machine Learning · Statistics 2013-10-28 Roman Garnett , Michael A. Osborne , Philipp Hennig

Hierarchical learning models, such as mixture models and Bayesian networks, are widely employed for unsupervised learning tasks, such as clustering analysis. They consist of observable and hidden variables, which represent the given data…

Machine Learning · Statistics 2018-01-08 Keisuke Yamazaki

Stationary points embedded in the derivatives are often critical for a model to be interpretable and may be considered as key features of interest in many applications. We propose a semiparametric Bayesian model to efficiently infer the…

Methodology · Statistics 2024-06-11 Cheng-Han Yu , Meng Li , Colin Noe , Simon Fischer-Baum , Marina Vannucci

In many areas of science and engineering, discovering the governing differential equations from the noisy experimental data is an essential challenge. It is also a critical step in understanding the physical phenomena and prediction of the…

Methodology · Statistics 2026-05-12 Jiuhai Chen , Lulu Kang , Guang Lin

State space models are well-known for their versatility in modeling dynamic systems that arise in various scientific disciplines. Although parametric state space models are well studied, nonparametric approaches are much less explored in…

Methodology · Statistics 2015-07-23 Satyaki Mazumder , Sourabh Bhattacharya

Recent machine learning advances have proposed black-box estimation of unknown continuous-time system dynamics directly from data. However, earlier works are based on approximative ODE solutions or point estimates. We propose a novel…

Machine Learning · Computer Science 2022-07-19 Pashupati Hegde , Çağatay Yıldız , Harri Lähdesmäki , Samuel Kaski , Markus Heinonen

Through sequential construction of posteriors on observing data online, Bayes' theorem provides a natural framework for continual learning. We develop Variational Auto-Regressive Gaussian Processes (VAR-GPs), a principled posterior updating…

Machine Learning · Statistics 2021-06-15 Sanyam Kapoor , Theofanis Karaletsos , Thang D. Bui

We consider the active learning problem where the goal is to learn an unknown function with low prediction error under an unknown Boltzmann distribution induced by the function itself. This self-induced weighting arises naturally in…

Machine Learning · Computer Science 2026-05-12 Jixiang Qing , Henry Moss , Matthias Sachs

In this paper, we propose an active learning algorithm and models which can gradually learn individual's preference through pairwise comparisons. The active learning scheme aims at finding individual's most preferred choice with minimized…

Machine Learning · Statistics 2018-05-07 Jie Yang , Diego Klabjan

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Regression is a fundamental prediction task common in data-centric engineering applications that involves learning mappings between continuous variables. In many engineering applications (e.g.\ structural health monitoring), feature-label…

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

Machine Learning · Statistics 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

Non-Bayesian social learning enables multiple agents to conduct networked signal and information processing through observing environmental signals and information aggregating. Traditional non-Bayesian social learning models only consider…

Social and Information Networks · Computer Science 2024-07-31 Dongyan Sui , Weichen Cao , Stefan Vlaski , Chun Guan , Siyang Leng

A key drawback of the current generation of artificial decision-makers is that they do not adapt well to changes in unexpected situations. This paper addresses the situation in which an AI for aerial dog fighting, with tunable parameters…

Machine Learning · Statistics 2016-12-14 Brett Israelsen , Nisar Ahmed

In this work, we demonstrate the Empirical Bayes approach to learning a Dynamic Bayesian Network. By starting with several point estimates of structure and weights, we can use a data-driven prior to subsequently obtain a model to quantify…

Machine Learning · Computer Science 2024-07-02 Vyacheslav Kungurtsev , Apaar , Aarya Khandelwal , Parth Sandeep Rastogi , Bapi Chatterjee , Jakub Mareček

Gaussian process regression is a powerful Bayesian nonlinear regression method. Recent research has enabled the capture of many types of observations using non-Gaussian likelihoods. To deal with various tasks in spatial modeling, we benefit…

Machine Learning · Statistics 2025-08-26 Yuta Shikuri

Recent progress in machine learning methods, and the emerging availability of programmable interfaces for scanning probe microscopes (SPMs), have propelled automated and autonomous microscopies to the forefront of attention of the…

Materials Science · Physics 2022-08-22 Maxim Ziatdinov , Yongtao Liu , Kyle Kelley , Rama Vasudevan , Sergei V. Kalinin

We study pool-based active learning with abstention feedbacks where a labeler can abstain from labeling a queried example with some unknown abstention rate. This is an important problem with many useful applications. We take a Bayesian…

Machine Learning · Computer Science 2021-01-01 Cuong V. Nguyen , Lam Si Tung Ho , Huan Xu , Vu Dinh , Binh Nguyen
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