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Gaussian process regression is a frequently used statistical method for flexible yet fully probabilistic non-linear regression modeling. A common obstacle is its computational complexity which scales poorly with the number of observations.…

统计方法学 · 统计学 2026-03-10 Adam Gorm Hoffmann , Claus Thorn Ekstrøm , Andreas Kryger Jensen

Extending Bayesian optimization to batch evaluation can enable the designer to make the most use of parallel computing technology. However, most of current batch approaches do not scale well with the batch size. That is, their performances…

机器学习 · 计算机科学 2025-04-25 Dawei Zhan , Zhaoxi Zeng , Shuoxiao Wei , Ping Wu

Adaptive designs are increasingly used in clinical trials and online experiments to improve participant outcomes by dynamically updating treatment allocation as data accumulate. In practice, experimenters often consider multiple candidate…

统计方法学 · 统计学 2026-04-08 Wenxin Zhang , Aaron Hudson , Maya Petersen , Mark van der Laan

We build a theoretical framework for designing and understanding practical meta-learning methods that integrates sophisticated formalizations of task-similarity with the extensive literature on online convex optimization and sequential…

机器学习 · 计算机科学 2019-12-10 Mikhail Khodak , Maria-Florina Balcan , Ameet Talwalkar

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…

应用统计 · 统计学 2009-05-25 Robert B. Gramacy , Herbert K. H. Lee

Recently, 3D Gaussian Splatting has emerged as a promising approach for modeling 3D scenes using mixtures of Gaussians. The predominant optimization method for these models relies on backpropagating gradients through a differentiable…

计算机视觉与模式识别 · 计算机科学 2025-09-24 Toon Van de Maele , Ozan Catal , Alexander Tschantz , Christopher L. Buckley , Tim Verbelen

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

统计方法学 · 统计学 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

The goal of this paper is to accelerate the training of machine learning models, a critical challenge since the training of large-scale deep neural models can be computationally expensive. Stochastic gradient descent (SGD) and its variants…

机器学习 · 计算机科学 2025-09-22 Yuen Chen , Yian Wang , Hari Sundaram

Recent advances in the field of meta-learning have tackled domains consisting of large numbers of small ("few-shot") supervised learning tasks. Meta-learning algorithms must be able to rapidly adapt to any individual few-shot task, fitting…

机器学习 · 计算机科学 2021-10-22 Vivek Myers , Nikhil Sardana

Adaptive learning is necessary for non-stationary environments where the learning machine needs to forget past data distribution. Efficient algorithms require a compact model update to not grow in computational burden with the incoming data…

机器学习 · 计算机科学 2023-07-11 Vanessa Gómez-Verdejo , Emilio Parrado-Hernández , Manel Martínez-Ramón

The test bench time needed for model-based calibration can be reduced with active learning methods for test design. This paper presents an improved strategy for active output selection. This is the task of learning multiple models in the…

机器学习 · 计算机科学 2021-01-12 Adrian Prochaska , Julien Pillas , Bernard Bäker

A framework previously introduced in [3] for solving a sequence of stochastic optimization problems with bounded changes in the minimizers is extended and applied to machine learning problems such as regression and classification. The…

机器学习 · 计算机科学 2019-04-08 Craig Wilson , Yuheng Bu , Venugopal Veeravalli

Component-wise gradient boosting algorithms are popular for their intrinsic variable selection and implicit regularization, which can be especially beneficial for very flexible model classes. When estimating generalized additive models for…

统计方法学 · 统计学 2024-04-15 Alexandra Daub , Andreas Mayr , Boyao Zhang , Elisabeth Bergherr

This paper proposes novel noise-free Bayesian optimization strategies that rely on a random exploration step to enhance the accuracy of Gaussian process surrogate models. The new algorithms retain the ease of implementation of the classical…

机器学习 · 计算机科学 2024-07-18 Hwanwoo Kim , Daniel Sanz-Alonso

Current deep learning adaptive optimizer methods adjust the step magnitude of parameter updates by altering the effective learning rate used by each parameter. Motivated by the known inverse relation between batch size and learning rate on…

机器学习 · 计算机科学 2022-08-02 Cristian Simionescu , George Stoica , Robert Herscovici

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

机器学习 · 统计学 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

Although deep neural networks have provided impressive gains in performance, these improvements often come at the cost of increased computational complexity and expense. In many cases, such as 3D volume or video classification tasks, not…

计算机视觉与模式识别 · 计算机科学 2025-10-15 Sharath M Shankaranarayana , Soumava Kumar Roy , Prasad Sudhakar , Chandan Aladahalli

This paper presents a novel approach to level set estimation for any function/simulation with an arbitrary number of continuous inputs and arbitrary numbers of continuous responses. We present a method that uses existing data from computer…

统计方法学 · 统计学 2024-07-09 David Edwards , Julie Bessac , Franck Cappello , Scotland Leman

Obtaining high certainty in predictive models is crucial for making informed and trustworthy decisions in many scientific and engineering domains. However, extensive experimentation required for model accuracy can be both costly and…

机器学习 · 计算机科学 2024-12-17 Giorgio Morales , John Sheppard

Adaptive designs have been proposed for clinical trials in which the nuisance parameters or alternative of interest are unknown or likely to be misspecified before the trial. Whereas most previous works on adaptive designs and mid-course…

统计方法学 · 统计学 2011-05-18 Jay Bartroff , Tze Leung Lai