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We propose a simple method that combines neural networks and Gaussian processes. The proposed method can estimate the uncertainty of outputs and flexibly adjust target functions where training data exist, which are advantages of Gaussian…

机器学习 · 统计学 2017-07-20 Tomoharu Iwata , Zoubin Ghahramani

Standard deep learning models for classification and regression applications are ideal for capturing complex system dynamics. However, their predictions can be arbitrarily inaccurate when the input samples are not similar to the training…

机器学习 · 计算机科学 2023-09-27 Kishansingh Rajput , Malachi Schram , Karthik Somayaji

Bayesian neural networks (BNN) and deep ensembles are principled approaches to estimate the predictive uncertainty of a deep learning model. However their practicality in real-time, industrial-scale applications are limited due to their…

机器学习 · 计算机科学 2020-10-27 Jeremiah Zhe Liu , Zi Lin , Shreyas Padhy , Dustin Tran , Tania Bedrax-Weiss , Balaji Lakshminarayanan

Deep Gaussian Processes learn probabilistic data representations for supervised learning by cascading multiple Gaussian Processes. While this model family promises flexible predictive distributions, exact inference is not tractable.…

机器学习 · 统计学 2020-10-23 Jakob Lindinger , David Reeb , Christoph Lippert , Barbara Rakitsch

Accurate and uncertainty-aware degradation estimation is essential for predictive maintenance in safety-critical systems like rotating machinery with rolling-element bearings. Many existing uncertainty methods lack confidence calibration,…

机器学习 · 计算机科学 2025-12-19 Waleed Razzaq , Yun-Bo Zhao

This paper presents a probabilistic framework to obtain both reliable and fast uncertainty estimates for predictions with Deep Neural Networks (DNNs). Our main contribution is a practical and principled combination of DNNs with sparse…

机器人学 · 计算机科学 2021-09-22 Jongseok Lee , Jianxiang Feng , Matthias Humt , Marcus G. Müller , Rudolph Triebel

Although Gaussian processes (GPs) with deep kernels have been successfully used for meta-learning in regression tasks, its uncertainty estimation performance can be poor. We propose a meta-learning method for calibrating deep kernel GPs for…

机器学习 · 统计学 2023-12-14 Tomoharu Iwata , Atsutoshi Kumagai

In supervised learning, understanding an input's proximity to the training data can help a model decide whether it has sufficient evidence for reaching a reliable prediction. While powerful probabilistic models such as Gaussian Processes…

机器学习 · 计算机科学 2024-06-19 Ifigeneia Apostolopoulou , Benjamin Eysenbach , Frank Nielsen , Artur Dubrawski

Accurate uncertainty quantification is a major challenge in deep learning, as neural networks can make overconfident errors and assign high confidence predictions to out-of-distribution (OOD) inputs. The most popular approaches to estimate…

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

机器学习 · 计算机科学 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

The learning of Gaussian Mixture Models (also referred to simply as GMMs) plays an important role in machine learning. Known for their expressiveness and interpretability, Gaussian mixture models have a wide range of applications, from…

机器学习 · 计算机科学 2023-07-14 Ruichong Zhang

Three important properties of a classification machinery are: (i) the system preserves the core information of the input data; (ii) the training examples convey information about unseen data; and (iii) the system is able to treat…

神经与进化计算 · 计算机科学 2016-06-29 Raja Giryes , Guillermo Sapiro , Alex M. Bronstein

Uncertainty estimation is essential for robust decision-making in the presence of ambiguous or out-of-distribution inputs. Gaussian Processes (GPs) are classical kernel-based models that offer principled uncertainty quantification and…

机器学习 · 统计学 2026-04-30 Albert Saiapin , Kim Batselier

This work leverages recent advances in probabilistic machine learning to discover conservation laws expressed by parametric linear equations. Such equations involve, but are not limited to, ordinary and partial differential,…

机器学习 · 计算机科学 2017-09-13 Maziar Raissi , George Em. Karniadakis

Deep neural networks (DNNs) are often constructed under the closed-world assumption, which may fail to generalize to the out-of-distribution (OOD) data. This leads to DNNs producing overconfident wrong predictions and can result in…

机器学习 · 统计学 2024-12-31 Yang Chen , Chih-Li Sung , Arpan Kusari , Xiaoyang Song , Wenbo Sun

Data science and informatics tools have been proliferating recently within the computational materials science and catalysis fields. This proliferation has spurned the creation of various frameworks for automated materials screening,…

材料科学 · 物理学 2020-02-21 Kevin Tran , Willie Neiswanger , Junwoong Yoon , Qingyang Zhang , Eric Xing , Zachary W. Ulissi

Active learning methods for neural networks are usually based on greedy criteria which ultimately give a single new design point for the evaluation. Such an approach requires either some heuristics to sample a batch of design points at one…

机器学习 · 计算机科学 2020-01-28 Evgenii Tsymbalov , Sergei Makarychev , Alexander Shapeev , Maxim Panov

Gaussian process models are commonly used as emulators for computer experiments. However, developing a Gaussian process emulator can be computationally prohibitive when the number of experimental samples is even moderately large. Local…

统计方法学 · 统计学 2018-09-26 Chih-Li Sung , Robert B. Gramacy , Benjamin Haaland

Machine unlearning seeks to efficiently remove the influence of selected data while preserving generalization. Significant progress has been made in low dimensions $(p \ll n)$, but high dimensions pose serious theoretical challenges as…

机器学习 · 统计学 2025-10-16 Aaradhya Pandey , Arnab Auddy , Haolin Zou , Arian Maleki , Sanjeev Kulkarni

One major impediment to the wider use of deep learning for clinical decision making is the difficulty of assigning a level of confidence to model predictions. Currently, deep Bayesian neural networks and sparse Gaussian processes are the…

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