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In many applications, data is easy to acquire but expensive and time-consuming to label prominent examples include medical imaging and NLP. This disparity has only grown in recent years as our ability to collect data improves. Under these…

机器学习 · 计算机科学 2021-04-07 Jaya Krishna Mandivarapu , Blake Camp , Rolando Estrada

When random label noise is added to a training dataset, the prediction error of a neural network on a label-noise-free test dataset initially improves during early training but eventually deteriorates, following a U-shaped dependence on…

机器学习 · 计算机科学 2023-06-06 Chaoyue Liu , Amirhesam Abedsoltan , Mikhail Belkin

Gaussian processes have become a popular tool for nonparametric regression because of their flexibility and uncertainty quantification. However, they often use stationary kernels, which limit the expressiveness of the model and may be…

机器学习 · 计算机科学 2025-07-17 Zachary James , Joseph Guinness

We study the average case performance of multi-task Gaussian process (GP) regression as captured in the learning curve, i.e. the average Bayes error for a chosen task versus the total number of examples $n$ for all tasks. For GP covariances…

机器学习 · 计算机科学 2012-11-05 Simon R. F. Ashton , Peter Sollich

Stochastic graph neural networks (SGNNs) are information processing architectures that learn representations from data over random graphs. SGNNs are trained with respect to the expected performance, which comes with no guarantee about…

信号处理 · 电气工程与系统科学 2023-03-22 Zhan Gao , Elvin Isufi

Recent work has established the equivalence between deep neural networks and Gaussian processes (GPs), resulting in so-called neural network Gaussian processes (NNGPs). The behaviour of these models depends on the initialisation of the…

机器学习 · 计算机科学 2020-07-15 Arnu Pretorius , Herman Kamper , Steve Kroon

Learning rates in stochastic neural network training are currently determined a priori to training, using expensive manual or automated iterative tuning. This study proposes gradient-only line searches to resolve the learning rate for…

机器学习 · 统计学 2020-01-16 Dominic Kafka , Daniel N. Wilke

Randomized smoothing is a recent technique that achieves state-of-art performance in training certifiably robust deep neural networks. While the smoothing family of distributions is often connected to the choice of the norm used for…

机器学习 · 计算机科学 2022-07-06 Motasem Alfarra , Adel Bibi , Philip H. S. Torr , Bernard Ghanem

Adversarial examples pose a security threat to many critical systems built on neural networks (such as face recognition systems, and self-driving cars). While many methods have been proposed to build robust models, how to build certifiably…

机器学习 · 计算机科学 2023-09-06 Ruihan Zhang , Peixin Zhang , Jun Sun

Recent work in adversarial attacks has developed provably robust methods for training deep neural network classifiers. However, although they are often mentioned in the context of robustness, deep generative models themselves have received…

机器学习 · 计算机科学 2020-04-23 Filipe Condessa , Zico Kolter

Gaussian processes (GPs) are widely used for regression and optimization tasks such as Bayesian optimization (BO) due to their expressiveness and principled uncertainty estimates. However, in settings with large datasets corrupted by…

机器学习 · 计算机科学 2026-01-13 Marshal Arijona Sinaga , Julien Martinelli , Samuel Kaski

Neural network robustness has recently been highlighted by the existence of adversarial examples. Many previous works show that the learned networks do not perform well on perturbed test data, and significantly more labeled data is required…

机器学习 · 计算机科学 2019-09-27 Runtian Zhai , Tianle Cai , Di He , Chen Dan , Kun He , John Hopcroft , Liwei Wang

Gradient descent (GD) methods for the training of artificial neural networks (ANNs) belong nowadays to the most heavily employed computational schemes in the digital world. Despite the compelling success of such methods, it remains an open…

最优化与控制 · 数学 2025-09-01 Shokhrukh Ibragimov , Arnulf Jentzen , Adrian Riekert

Bayesian learning of model parameters in neural networks is important in scenarios where estimates with well-calibrated uncertainty are important. In this paper, we propose Bayesian quantized networks (BQNs), quantized neural networks…

机器学习 · 计算机科学 2019-12-09 Jiahao Su , Milan Cvitkovic , Furong Huang

Gaussian Process Regression (GPR) is widely used for inferring functions from noisy data. GPR crucially relies on the choice of a kernel, which might be specified in terms of a collection of hyperparameters that must be chosen or learned.…

数值分析 · 数学 2025-06-16 P. Michael Kielstra , Michael Lindsey

Mini-batch sub-sampling in neural network training is unavoidable, due to growing data demands, memory-limited computational resources such as graphical processing units (GPUs), and the dynamics of on-line learning. In this study we…

机器学习 · 统计学 2020-04-07 Dominic Kafka , Daniel Wilke

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

Bayesian inference and kernel methods are well established in machine learning. The neural network Gaussian process in particular provides a concept to investigate neural networks in the limit of infinitely wide hidden layers by using…

无序系统与神经网络 · 物理学 2023-11-10 Javed Lindner , David Dahmen , Michael Krämer , Moritz Helias

Modelling robot dynamics accurately is essential for control, motion optimisation and safe human-robot collaboration. Given the complexity of modern robotic systems, dynamics modelling remains non-trivial, mostly in the presence of…

机器人学 · 计算机科学 2022-05-11 David Jorge , Gabriella Pizzuto , Michael Mistry

Gaussian process regression (GPR) or kernel ridge regression is a widely used and powerful tool for nonlinear prediction. Therefore, active learning (AL) for GPR, which actively collects data labels to achieve an accurate prediction with…