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Causal discovery and causal reasoning are classically treated as separate and consecutive tasks: one first infers the causal graph, and then uses it to estimate causal effects of interventions. However, such a two-stage approach is…

Machine Learning · Computer Science 2022-10-18 Christian Toth , Lars Lorch , Christian Knoll , Andreas Krause , Franz Pernkopf , Robert Peharz , Julius von Kügelgen

We consider Bayesian algorithm execution (BAX), a framework for efficiently selecting evaluation points of an expensive function to infer a property of interest encoded as the output of a base algorithm. Since the base algorithm typically…

Machine Learning · Computer Science 2024-10-29 Chu Xin Cheng , Raul Astudillo , Thomas Desautels , Yisong Yue

Several recent papers investigate Active Learning (AL) for mitigating the data dependence of deep learning for natural language processing. However, the applicability of AL to real-world problems remains an open question. While in…

Computation and Language · Computer Science 2018-09-25 Aditya Siddhant , Zachary C. Lipton

A common problem in disciplines of applied Statistics research such as Astrostatistics is of estimating the posterior distribution of relevant parameters. Typically, the likelihoods for such models are computed via expensive experiments…

Machine Learning · Statistics 2017-02-07 Kirthevasan Kandasamy , Jeff Schneider , Barnabás Póczos

Several scenarios require the optimization of non-convex black-box functions, that are noisy expensive to evaluate functions with unknown analytical expression, whose gradients are hence not accessible. For example, the hyper-parameter…

Machine Learning · Computer Science 2025-02-12 Eduardo C. Garrido-Merchán

The effectiveness of active learning largely depends on the sampling efficiency of the acquisition function. Expected Loss Reduction (ELR) focuses on a Bayesian estimate of the reduction in classification error, and more general costs fit…

Machine Learning · Computer Science 2023-12-19 Wei Tan , Lan Du , Wray Buntine

Uncertainty quantification in reinforcement learning can greatly improve exploration and robustness. Approximate Bayesian approaches have recently been popularized to quantify uncertainty in model-free algorithms. However, so far the focus…

Machine Learning · Computer Science 2025-09-01 Pascal R. van der Vaart , Neil Yorke-Smith , Matthijs T. J. Spaan

Active learning is a promising paradigm to reduce the labeling cost by strategically requesting labels to improve model performance. However, existing active learning methods often rely on expensive acquisition function to compute,…

Machine Learning · Computer Science 2023-10-27 Zixin Ding , Si Chen , Ruoxi Jia , Yuxin Chen

Bayesian optimization provides an effective method to optimize expensive-to-evaluate black box functions. It has been widely applied to problems in many fields, including notably in computer science, e.g. in machine learning to optimize…

Machine Learning · Computer Science 2025-11-18 Mike Diessner , Joseph O'Connor , Andrew Wynn , Sylvain Laizet , Yu Guan , Kevin Wilson , Richard D. Whalley

We consider the problem of chance constrained optimization where it is sought to optimize a function and satisfy constraints, both of which are affected by uncertainties. The real world declinations of this problem are particularly…

Some machine learning applications require continual learning - where data comes in a sequence of datasets, each is used for training and then permanently discarded. From a Bayesian perspective, continual learning seems straightforward:…

Machine Learning · Statistics 2019-02-19 Sebastian Farquhar , Yarin Gal

In this paper, we propose an active learning method for an inverse problem that aims to find an input that achieves a desired structured-output. The proposed method provides new acquisition functions for minimizing the error between the…

Machine Learning · Statistics 2019-11-12 Kota Matsui , Shunya Kusakawa , Keisuke Ando , Kentaro Kutsukake , Toru Ujihara , Ichiro Takeuchi

Bayesian optimization (BO) efficiently finds high-performing parameters by maximizing an acquisition function, which models the promise of parameters. A major computational bottleneck arises in acquisition function optimization, where…

Machine Learning · Computer Science 2025-12-10 Kaichi Irie , Shuhei Watanabe , Masaki Onishi

Comparing competing mathematical models of complex natural processes is a shared goal among many branches of science. The Bayesian probabilistic framework offers a principled way to perform model comparison and extract useful metrics for…

Calculation of Bayesian posteriors and model evidences typically requires numerical integration. Bayesian quadrature (BQ), a surrogate-model-based approach to numerical integration, is capable of superb sample efficiency, but its lack of…

Machine Learning · Computer Science 2023-04-11 Masaki Adachi , Satoshi Hayakawa , Martin Jørgensen , Harald Oberhauser , Michael A. Osborne

Uncertainty quantification in image retrieval is crucial for downstream decisions, yet it remains a challenging and largely unexplored problem. Current methods for estimating uncertainties are poorly calibrated, computationally expensive,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-20 Frederik Warburg , Martin Jørgensen , Javier Civera , Søren Hauberg

Many critical applications, from autonomous scientific discovery to personalized medicine, demand systems that can both strategically acquire the most informative data and instantaneously perform inference based upon it. While amortized…

Machine Learning · Statistics 2025-10-22 Daolang Huang , Xinyi Wen , Ayush Bharti , Samuel Kaski , Luigi Acerbi

Active learning is an established technique to reduce the labeling cost to build high-quality machine learning models. A core component of active learning is the acquisition function that determines which data should be selected to…

Machine Learning · Computer Science 2021-12-07 Yuejun Guo , Qiang Hu , Maxime Cordy , Mike Papadakis , Yves Le Traon

Wind farm layout optimization (WFLO), which seeks to maximizing annual energy production by strategically adjusting wind turbines' location, is essential for the development of large-scale wind farms. While low-fidelity methods dominate…

Optimization and Control · Mathematics 2025-02-18 Zhen-fan Wang , Yu Tu , Kai Zhang , Dai Zhou , Onur Bilgen

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek
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