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Gaussian process regression has proven very powerful in statistics, machine learning and inverse problems. A crucial aspect of the success of this methodology, in a wide range of applications to complex and real-world problems, is…

Statistics Theory · Mathematics 2021-03-18 Yifan Chen , Houman Owhadi , Andrew M. Stuart

A wide range of machine learning algorithms iteratively add data to the training sample. Examples include semi-supervised learning, active learning, multi-armed bandits, and Bayesian optimization. We embed this kind of data addition into…

Machine Learning · Statistics 2024-06-25 Julian Rodemann

Meta-learning methods perform well on new within-distribution tasks but often fail when adapting to out-of-distribution target tasks, where transfer from source tasks can induce negative transfer. We propose a causally-aware Bayesian…

Machine Learning · Computer Science 2026-02-24 Lotta Mäkinen , Jorge Loría , Samuel Kaski

We introduce a new framework for studying meta-learning methods using PAC-Bayesian theory. Its main advantage over previous work is that it allows for more flexibility in how the transfer of knowledge between tasks is realized. For previous…

Machine Learning · Computer Science 2024-05-30 Hossein Zakerinia , Amin Behjati , Christoph H. Lampert

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

Machine Learning · Computer Science 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne

Learning a sequence of tasks without access to i.i.d. observations is a widely studied form of continual learning (CL) that remains challenging. In principle, Bayesian learning directly applies to this setting, since recursive and one-off…

Trajectory planning for automated vehicles commonly employs optimization over a moving horizon - Model Predictive Control - where the cost function critically influences the resulting driving style. However, finding a suitable cost function…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Lukas Theiner , Sebastian Hirt , Alexander Steinke , Rolf Findeisen

Meta-Bayesian optimisation (meta-BO) aims to improve the sample efficiency of Bayesian optimisation by leveraging data from related tasks. While previous methods successfully meta-learn either a surrogate model or an acquisition function…

Machine Learning · Computer Science 2023-12-25 Alexandre Maraval , Matthieu Zimmer , Antoine Grosnit , Haitham Bou Ammar

Optimising black-box functions is important in many disciplines, such as tuning machine learning models, robotics, finance and mining exploration. Bayesian optimisation is a state-of-the-art technique for the global optimisation of…

Machine Learning · Computer Science 2015-03-05 John-Alexander M. Assael , Ziyu Wang , Bobak Shahriari , Nando de Freitas

One of the core facets of Bayesianism is in the updating of prior beliefs in light of new evidence$\text{ -- }$so how can we maintain a Bayesian approach if we have no prior beliefs in the first place? This is one of the central challenges…

Machine Learning · Statistics 2026-02-10 Tommy Rochussen , Vincent Fortuin

Bayesian hierarchical models are frequently used in practical data analysis contexts. One interpretation of these models is that they provide an indirect way of assigning a prior for unknown parameters, through the introduction of…

Machine Learning · Statistics 2026-05-01 Brendon J. Brewer

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

Machine Learning · Statistics 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams

Bayesian optimization (BO) has become a popular strategy for global optimization of many expensive real-world functions. Contrary to a common belief that BO is suited to optimizing black-box functions, it actually requires domain knowledge…

Machine Learning · Computer Science 2022-07-08 Zi Wang , George E. Dahl , Kevin Swersky , Chansoo Lee , Zelda Mariet , Zachary Nado , Justin Gilmer , Jasper Snoek , Zoubin Ghahramani

Purpose: Machine learning is broadly used for clinical data analysis. Before training a model, a machine learning algorithm must be selected. Also, the values of one or more model parameters termed hyper-parameters must be set. Selecting…

Machine Learning · Computer Science 2018-12-10 Xueqiang Zeng , Gang Luo

Transfer learning for Bayesian optimisation has generally assumed a strong similarity between optimisation tasks, with at least a subset having similar optimal inputs. This assumption can reduce computational costs, but it is violated in a…

Machine Learning · Computer Science 2024-04-22 Sigrid Passano Hellan , Christopher G. Lucas , Nigel H. Goddard

In Generalised Bayesian Inference (GBI), the learning rate and hyperparameters of the loss must be estimated. These inference-hyperparameters can't be estimated jointly with the other parameters, from the data, by giving them a prior.…

Methodology · Statistics 2026-05-18 Jeong Eun Lee , Sitong Liu , Geoff K. Nicholls

We propose a meta-learning approach that learns from multiple tasks in a transductive setting, by leveraging the unlabeled query set in addition to the support set to generate a more powerful model for each task. To develop our framework,…

Machine Learning · Computer Science 2020-04-28 Shell Xu Hu , Pablo G. Moreno , Yang Xiao , Xi Shen , Guillaume Obozinski , Neil D. Lawrence , Andreas Damianou

Machine learning strategies like multi-task learning, meta-learning, and transfer learning enable efficient adaptation of machine learning models to specific applications in healthcare, such as prediction of various diseases, by leveraging…

Machine Learning · Computer Science 2024-12-31 Sophie Wharrie , Lisa Eick , Lotta Mäkinen , Andrea Ganna , Samuel Kaski , FinnGen

Meta-learning is a framework for learning learning algorithms through repeated interactions with an environment as opposed to designing them by hand. In recent years, this framework has established itself as a promising tool for building…

Artificial Intelligence · Computer Science 2023-04-17 Marcel Binz , Ishita Dasgupta , Akshay Jagadish , Matthew Botvinick , Jane X. Wang , Eric Schulz

Machine learning methods adapt the parameters of a model, constrained to lie in a given model class, by using a fixed learning procedure based on data or active observations. Adaptation is done on a per-task basis, and retraining is needed…

Machine Learning · Computer Science 2021-10-22 Osvaldo Simeone , Sangwoo Park , Joonhyuk Kang