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Neural ODE Processes approach the problem of meta-learning for dynamics using a latent variable model, which permits a flexible aggregation of contextual information. This flexibility is inherited from the Neural Process framework and…

Machine Learning · Computer Science 2021-04-30 Ben Day , Alexander Norcliffe , Jacob Moss , Pietro Liò

We propose to use Bayesian optimization (BO) to improve the efficiency of the design selection process in clinical trials. BO is a method to optimize expensive black-box functions, by using a regression as a surrogate to guide the search.…

Methodology · Statistics 2021-05-20 Jakob Richter , Tim Friede , Jörg Rahnenführer

We develop the first Bayesian Optimization algorithm, BLOSSOM, which selects between multiple alternative acquisition functions and traditional local optimization at each step. This is combined with a novel stopping condition based on…

Machine Learning · Statistics 2018-05-23 Mark McLeod , Michael A. Osborne , Stephen J. Roberts

Partially observable Markov Decision Processes (POMDPs) are a standard model for agents making decisions in uncertain environments. Most work on POMDPs focuses on synthesizing strategies based on the available capabilities. However, system…

Artificial Intelligence · Computer Science 2024-07-12 Alyzia-Maria Konsta , Alberto Lluch Lafuente , Christoph Matheja

Bayesian optimization (BO) is one of the most effective methods for closed-loop experimental design and black-box optimization. However, a key limitation of BO is that it is an inherently sequential algorithm (one experiment is proposed per…

Machine Learning · Statistics 2023-11-21 Leonardo D. González , Victor M. Zavala

Randomized experiments are the gold standard for evaluating the effects of changes to real-world systems. Data in these tests may be difficult to collect and outcomes may have high variance, resulting in potentially large measurement error.…

Machine Learning · Statistics 2018-06-27 Benjamin Letham , Brian Karrer , Guilherme Ottoni , Eytan Bakshy

Minimising cycle time without inducing quality defects is a major challenge in the injection moulding (IM). Design of Experiment methods (DoE) have been widely studied for optimisation of the IM, however existing methods have limitations,…

Systems and Control · Electrical Eng. & Systems 2024-12-05 Mandana Kariminejad , David Tormey , Caitríona Ryan , Christopher O'Hara , Albert Weinert , Marion McAfee

Many real-world design problems involve optimizing an expensive black-box function $f(x)$, such as hardware design or drug discovery. Bayesian Optimization has emerged as a sample-efficient framework for this problem. However, the basic…

Machine Learning · Computer Science 2026-02-13 Arjun Mani , Carl Vondrick , Richard Zemel

Causal inference in continuous-time sequential decision problems is challenged by hidden confounders. We show that, in latent state-space models with time-varying interventions, observability of the latent dynamics from observed data is…

Machine Learning · Computer Science 2026-05-14 Jennifer Wendland , Nicolas Freitag , Maik Kschischo

Bayesian optimisation (BO) is widely used to optimise stochastic black box functions. While most BO approaches focus on optimising conditional expectations, many applications require risk-averse strategies and alternative criteria…

Machine Learning · Statistics 2022-07-11 Victor Picheny , Henry Moss , Léonard Torossian , Nicolas Durrande

Ordinary and partial differential equations (ODEs/PDEs) play a paramount role in analyzing and simulating complex dynamic processes across all corners of science and engineering. In recent years machine learning tools are aspiring to…

Machine Learning · Computer Science 2021-06-11 Sifan Wang , Paris Perdikaris

The continuous dynamics of natural systems has been effectively modelled using Neural Ordinary Differential Equations (Neural ODEs). However, for accurate and meaningful predictions, it is crucial that the models follow the underlying rules…

Machine Learning · Computer Science 2024-03-06 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

Computational models in fields such as computational neuroscience are often evaluated via stochastic simulation or numerical approximation. Fitting these models implies a difficult optimization problem over complex, possibly noisy parameter…

Machine Learning · Statistics 2017-11-03 Luigi Acerbi , Wei Ji Ma

Autonomous agents interacting with the real world need to learn new concepts efficiently and reliably. This requires learning in a low-data regime, which is a highly challenging problem. We address this task by introducing a fast…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Ardhendu Shekhar Tripathi , Martin Danelljan , Luc Van Gool , Radu Timofte

Neural operators (NOs) provide a new paradigm for efficiently solving partial differential equations (PDEs), but their training depends on costly high-fidelity data from numerical solvers, limiting applications in complex systems. We…

Computational Physics · Physics 2026-05-18 Wen You , Shaoqian Zhou , Xuhui Meng

Bayesian Optimisation (BO) refers to a class of methods for global optimisation of a function $f$ which is only accessible via point evaluations. It is typically used in settings where $f$ is expensive to evaluate. A common use case for BO…

Machine Learning · Computer Science 2019-03-19 Kirthevasan Kandasamy , Willie Neiswanger , Jeff Schneider , Barnabas Poczos , Eric Xing

This study addresses the challenge of fleet design optimization in the context of heterogeneous multi-robot fleets, aiming to obtain feasible designs that balance performance and costs. In the domain of autonomous multi-robot exploration,…

We describe a method for Bayesian optimization by which one may incorporate data from multiple systems whose quantitative interrelationships are unknown a priori. All general (nonreal-valued) features of the systems are associated with…

Machine Learning · Computer Science 2020-01-06 Steven Atkinson , Sayan Ghosh , Natarajan Chennimalai-Kumar , Genghis Khan , Liping Wang

Optimal resource allocation in modern communication networks calls for the optimization of objective functions that are only accessible via costly separate evaluations for each candidate solution. The conventional approach carries out the…

Signal Processing · Electrical Eng. & Systems 2023-05-22 Yunchuan Zhang , Osvaldo Simeone , Sharu Theresa Jose , Lorenzo Maggi , Alvaro Valcarce

Learning solution operators for partial differential equations (PDEs) has become a foundational task in scientific machine learning. However, existing neural operator methods require abundant training data for each specific PDE and lack the…

Machine Learning · Computer Science 2025-08-05 Yile Li , Shandian Zhe
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