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Heteroscedastic regression considering the varying noises among observations has many applications in the fields like machine learning and statistics. Here we focus on the heteroscedastic Gaussian process (HGP) regression which integrates…

机器学习 · 统计学 2020-01-22 Haitao Liu , Yew-Soon Ong , Jianfei Cai

Learning with softmax cross-entropy on one-hot labels often leads to overconfident predictions and poor robustness under noise or perturbations. Label smoothing mitigates this by redistributing some confidence uniformly, but treats all…

量子物理 · 物理学 2025-10-02 Fang Qi , Lu Peng , Zhengming Ding

Examples with bound information on the regression function and density abound in many real applications. We propose a novel approach for estimating such functions by incorporating the prior knowledge on the bounds. Specially, a Gaussian…

统计方法学 · 统计学 2018-10-30 Jize Zhang , Lizhen Lin

The Gaussian process (GP) is a Bayesian nonparametric paradigm that is widely adopted for uncertainty quantification (UQ) in a number of safety-critical applications, including robotics, healthcare, as well as surveillance. The consistency…

机器学习 · 计算机科学 2024-10-10 Jinwen Xu , Qin Lu , Georgios B. Giannakis

Gaussian processes (GPs) provide a probabilistic nonparametric representation of functions in regression, classification, and other problems. Unfortunately, exact learning with GPs is intractable for large datasets. A variety of approximate…

机器学习 · 计算机科学 2010-02-23 Yuan Qi , Ahmed H. Abdel-Gawad , Thomas P. Minka

The problem of classifying graphs is ubiquitous in machine learning. While it is standard to apply graph neural networks or graph kernel methods, Gaussian processes can be employed by transforming spatial features from the graph domain into…

机器学习 · 计算机科学 2025-02-04 Mathieu Alain , So Takao , Xiaowen Dong , Bastian Rieck , Emmanuel Noutahi

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

In Semi-Supervised Semi-Private (SP) learning, the learner has access to both public unlabelled and private labelled data. We propose a computationally efficient algorithm that, under mild assumptions on the data, provably achieves…

机器学习 · 计算机科学 2023-06-08 Francesco Pinto , Yaxi Hu , Fanny Yang , Amartya Sanyal

Meta-learning has demonstrated promising results in few-shot classification (FSC) by learning to solve new problems using prior knowledge. Bayesian methods are effective at characterizing uncertainty in FSC, which is crucial in high-risk…

机器学习 · 计算机科学 2024-10-14 Tianjun Ke , Haoqun Cao , Zenan Ling , Feng Zhou

Learning uncertain dynamics models using Gaussian process~(GP) regression has been demonstrated to enable high-performance and safety-aware control strategies for challenging real-world applications. Yet, for computational tractability,…

最优化与控制 · 数学 2024-09-17 Manish Prajapat , Amon Lahr , Johannes Köhler , Andreas Krause , Melanie N. Zeilinger

An open scientific challenge is how to classify events with reliable measures of uncertainty, when we have a mechanistic model of the data-generating process but the distribution over both labels and latent nuisance parameters is different…

机器学习 · 统计学 2024-07-02 Luca Masserano , Alex Shen , Michele Doro , Tommaso Dorigo , Rafael Izbicki , Ann B. Lee

Incremental semantic segmentation aims to continually learn the segmentation of new coming classes without accessing the training data of previously learned classes. However, most current methods fail to address catastrophic forgetting and…

计算机视觉与模式识别 · 计算机科学 2023-07-21 Wei Cong , Yang Cong , Jiahua Dong , Gan Sun , Henghui Ding

Many datasets are in the form of tables of binned data. Performing regression on these data usually involves either reading off bin heights, ignoring data from neighbouring bins or interpolating between bins thus over or underestimating the…

机器学习 · 统计学 2019-05-21 Michael Thomas Smith , Mauricio A Alvarez , Neil D Lawrence

Gaussian Process (GP) regression is a popular and sample-efficient approach for many engineering applications, where observations are expensive to acquire, and is also a central ingredient of Bayesian optimization (BO), a highly prevailing…

机器学习 · 统计学 2025-06-06 Sébastien Da Veiga

The success of many machine learning (ML) methods depends crucially on having large amounts of labeled data. However, obtaining enough labeled data can be expensive, time-consuming, and subject to ethical constraints for many applications.…

机器学习 · 计算机科学 2023-05-26 Gokul Bhusal , Ekaterina Merkurjev , Guo-Wei Wei

Gaussian processes with derivative information are useful in many settings where derivative information is available, including numerous Bayesian optimization and regression tasks that arise in the natural sciences. Incorporating derivative…

机器学习 · 计算机科学 2021-07-12 Misha Padidar , Xinran Zhu , Leo Huang , Jacob R. Gardner , David Bindel

We propose a novel theoretical and methodological framework for Gaussian process regression subject to privacy constraints. The proposed method can be used when a data owner is unwilling to share a high-fidelity supervised learning model…

机器学习 · 计算机科学 2025-10-14 Rui Tuo , Haoyuan Chen , Raktim Bhattacharya

Recent CNN-based methods for image deraining have achieved excellent performance in terms of reconstruction error as well as visual quality. However, these methods are limited in the sense that they can be trained only on fully labeled…

计算机视觉与模式识别 · 计算机科学 2020-09-29 Rajeev Yasarla , V. A. Sindagi , V. M. Patel

Label smoothing is a widely studied regularization technique in machine learning. However, its potential for node classification in graph-structured data, spanning homophilic to heterophilic graphs, remains largely unexplored. We introduce…

机器学习 · 计算机科学 2026-02-02 Jaeseung Heo , Moonjeong Park , Dongwoo Kim

By learning the gradient of smoothed data distributions, diffusion models can iteratively generate samples from complex distributions. The learned score function enables their generalization capabilities, but how the learned score relates…

机器学习 · 计算机科学 2024-12-16 Binxu Wang , John J. Vastola