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Bayesian learning using Gaussian processes provides a foundational framework for making decisions in a manner that balances what is known with what could be learned by gathering data. In this dissertation, we develop techniques for…

Machine Learning · Statistics 2022-04-29 Alexander Terenin

We explore spatiotemporal data augmentation using video foundation models to diversify both camera viewpoints and scene dynamics. Unlike existing approaches based on simple geometric transforms or appearance perturbations, our method…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Jinfan Zhou , Lixin Luo , Sungmin Eum , Heesung Kwon , Jeong Joon Park

Gaussian process modulated Poisson processes provide a flexible framework for modelling spatiotemporal point patterns. So far this had been restricted to one dimension, binning to a pre-determined grid, or small data sets of up to a few…

Machine Learning · Statistics 2018-04-04 S. T. John , James Hensman

Stochastic simulation models are generative models that mimic complex systems to help with decision-making. The reliability of these models heavily depends on well-calibrated input model parameters. However, in many practical scenarios,…

Methodology · Statistics 2024-11-11 Ziwei Su , Diego Klabjan

Many machine learning models require setting a parameter that controls their size before training, e.g. number of neurons in DNNs, or inducing points in GPs. Increasing capacity typically improves performance until all the information from…

Machine Learning · Statistics 2025-12-22 Guiomar Pescador-Barrios , Sarah Filippi , Mark van der Wilk

Due to the increasing demand for high performance and cost reduction within the framework of complex system design, numerical optimization of computationally costly problems is an increasingly popular topic in most engineering fields. In…

Optimization and Control · Mathematics 2018-06-12 Julien Pelamatti , Loïc Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

This chapter presents specific aspects of Gaussian process modeling in the presence of complex noise. Starting from the standard homoscedastic model, various generalizations from the literature are presented: input varying noise variance,…

Optimization and Control · Mathematics 2024-12-11 Mickael Binois , Arindam Fadikar , Abby Stevens

We derive improved regression and classification rates for support vector machines using Gaussian kernels under the assumption that the data has some low-dimensional intrinsic structure that is described by the box-counting dimension. Under…

Statistics Theory · Mathematics 2021-04-08 Thomas Hamm , Ingo Steinwart

Computer experiments are often performed to allow modeling of a response surface of a physical experiment that can be too costly or difficult to run except using a simulator. Running the experiment over a dense grid can be prohibitively…

Applications · Statistics 2009-05-25 Robert B. Gramacy , Herbert K. H. Lee

The use of Gaussian processes (GPs) is supported by efficient sampling algorithms, a rich methodological literature, and strong theoretical grounding. However, due to their prohibitive computation and storage demands, the use of exact GPs…

Statistics Theory · Mathematics 2022-07-27 Kelly R. Moran , Matthew W. Wheeler

Machine learning of multi-dimensional potential energy surfaces, from purely ab initio datasets, has seen substantial progress in the past years. Gaussian processes, a popular regression method, have been very successful at producing…

Chemical Physics · Physics 2023-01-11 Fabio E. A. Albertani , Alex J. W. Thom

Black box optimization (BBO) focuses on optimizing unknown functions in high-dimensional spaces. In many applications, sampling the unknown function is expensive, imposing a tight sample budget. Ongoing work is making progress on reducing…

Machine Learning · Computer Science 2025-07-29 Rajalaxmi Rajagopalan , Yu-Lin Wei , Romit Roy Choudhury

Clusters form the basis of a number of research study designs including survey and experimental studies. Cluster-based designs can be less costly but also less efficient than individual-based designs due to correlation between individuals…

Methodology · Statistics 2021-07-22 Samuel I. Watson

Gaussian processes (GP) are a popular and powerful tool for spatial modelling of data, especially data that quantify environmental processes. However, in stationary form, whether covariance is isotropic or anisotropic, GPs may lack the…

Methodology · Statistics 2023-11-10 Benjamin D. Youngman

In clinical trials, there is potential to improve precision and reduce the required sample size by appropriately adjusting for baseline variables in the statistical analysis. This is called covariate adjustment. Despite recommendations by…

Methodology · Statistics 2022-06-20 Kelly Van Lancker , Joshua Betz , Michael Rosenblum

Despite recent advances in automated machine learning, model selection is still a complex and computationally intensive process. For Gaussian processes (GPs), selecting the kernel is a crucial task, often done manually by the expert.…

Machine Learning · Computer Science 2022-10-24 Matthias Bitzer , Mona Meister , Christoph Zimmer

This paper addresses distributed learning of a complex object for multiple networked robots based on distributed optimization and kernel-based support vector machine. In order to overcome a fundamental limitation of polynomial kernels…

Robotics · Computer Science 2024-12-17 Toshiyuki Oshima , Junya Yamauchi , Tatsuya Ibuki , Michio Seto , Takeshi Hatanaka

Generative personalization often suffers from the semantic collapsing problem (SCP), where a learned personalized concept overpowers the rest of the text prompt, causing the model to ignore important contextual details. To address this, we…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Van-Anh Nguyen , Anh Tuan Bui , Tamas Abraham , Junae Kim , Amardeep Kaur , Rollin Omari , Thuy-Trang Vu , Dinh Phung

In this work, we introduce a spatio-temporal kernel for Gaussian process (GP) regression-based sound field estimation. Notably, GPs have the attractive property that the sound field is a linear function of the measurements, allowing the…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-08 David Sundström , Shoichi Koyama , Andreas Jakobsson

We review the literature on algorithms for estimating the index space in a multi-index model. The primary focus is on computationally efficient (polynomial-time) algorithms in Gaussian space, the assumptions under which consistency is…

Machine Learning · Statistics 2025-06-17 Joan Bruna , Daniel Hsu
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