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Ensembles of deep neural networks demonstrate improved performance over single models. For enhancing the diversity of ensemble members while keeping their performance, particle-based inference methods offer a promising approach from a…

Machine Learning · Computer Science 2022-06-03 Shingo Yashima , Teppei Suzuki , Kohta Ishikawa , Ikuro Sato , Rei Kawakami

Deep ensembles have recently gained popularity in the deep learning community for their conceptual simplicity and efficiency. However, maintaining functional diversity between ensemble members that are independently trained with gradient…

Machine Learning · Computer Science 2023-03-29 Francesco D'Angelo , Vincent Fortuin

The ensemble of deep neural networks has been shown, both theoretically and empirically, to improve generalization accuracy on the unseen test set. However, the high training cost hinders its efficiency since we need a sufficient number of…

Machine Learning · Computer Science 2021-12-28 Wentao Zhang , Jiawei Jiang , Yingxia Shao , Bin Cui

We propose an approach based on function evaluations and Bayesian inference to extract higher-order differential information of objective functions {from a given ensemble of particles}. Pointwise evaluation $\{V(x^i)\}_i$ of some potential…

Machine Learning · Statistics 2023-03-02 Claudia Schillings , Claudia Totzeck , Philipp Wacker

Deep Ensembles (DE) are a prominent approach for achieving excellent performance on key metrics such as accuracy, calibration, uncertainty estimation, and out-of-distribution detection. However, hardware limitations of real-world systems…

Ensembling a neural network is a widely recognized approach to enhance model performance, estimate uncertainty, and improve robustness in deep supervised learning. However, deep ensembles often come with high computational costs and memory…

Ensemble learning has proven effective in improving predictive performance and estimating uncertainty in neural networks. However, conventional ensemble methods often suffer from redundant parameter usage and computational inefficiencies…

Machine Learning · Computer Science 2024-12-23 Arnav Kharbanda , Advait Chandorkar

Deep ensembles have been shown to extend the positive effect seen in typical ensemble learning to neural networks and to reinforcement learning (RL). However, there is still much to be done to improve the efficiency of such ensemble models.…

Machine Learning · Computer Science 2022-09-27 Simeon Adebola , Satvik Sharma , Kaushik Shivakumar

Deep Ensemble (DE) is an effective alternative to Bayesian neural networks for uncertainty quantification in deep learning. The uncertainty of DE is usually conveyed by the functional inconsistency among the ensemble members, say, the…

Machine Learning · Computer Science 2022-05-03 Zhijie Deng , Feng Zhou , Jianfei Chen , Guoqiang Wu , Jun Zhu

In this paper, we present Deep Extreme Feature Extraction (DEFE), a new ensemble MVA method for searching $\tau^{+}\tau^{-}$ channel of Higgs bosons in high energy physics. DEFE can be viewed as a deep ensemble learning scheme that trains a…

Machine Learning · Computer Science 2016-03-25 Chao Ma , Tianchenghou , Bin Lan , Jinhui Xu , Zhenhua Zhang

Bayesian inference in function space has gained attention due to its robustness against overparameterization in neural networks. However, approximating the infinite-dimensional function space introduces several challenges. In this work, we…

Machine Learning · Computer Science 2024-12-23 Sophie Steger , Christian Knoll , Bernhard Klein , Holger Fröning , Franz Pernkopf

Ensembles of independently trained neural networks are a state-of-the-art approach to estimate predictive uncertainty in Deep Learning, and can be interpreted as an approximation of the posterior distribution via a mixture of delta…

Machine Learning · Computer Science 2022-07-11 Aleksei Tiulpin , Matthew B. Blaschko

Physics-informed neural networks (PINNs) have proven an effective tool for solving differential equations, in particular when considering non-standard or ill-posed settings. When inferring solutions and parameters of the differential…

Machine Learning · Statistics 2025-05-26 Philipp Pilar , Markus Heinonen , Niklas Wahlström

We present DeepFDM, a differentiable finite-difference framework for learning spatially varying coefficients in time-dependent partial differential equations (PDEs). By embedding a classical forward-Euler discretization into a convolutional…

Numerical Analysis · Mathematics 2025-07-30 Patrick Chatain , Michael Rizvi-Martel , Guillaume Rabusseau , Adam Oberman

While the popularity of physics-informed neural networks (PINNs) is steadily rising, to this date, PINNs have not been successful in simulating multi-scale and singular perturbation problems. In this work, we present a new training paradigm…

Machine Learning · Computer Science 2024-03-27 Zhiwei Fang , Sifan Wang , Paris Perdikaris

Ensembles of deep neural networks have achieved great success recently, but they do not offer a proper Bayesian justification. Moreover, while they allow for averaging of predictions over several hypotheses, they do not provide any…

Machine Learning · Computer Science 2021-06-23 Francesco D'Angelo , Vincent Fortuin , Florian Wenzel

Deep neural networks have achieved substantial achievements in several computer vision areas, but have vulnerabilities that are often fooled by adversarial examples that are not recognized by humans. This is an important issue for security…

Computer Vision and Pattern Recognition · Computer Science 2021-01-29 Hakmin Lee , Hong Joo Lee , Seong Tae Kim , Yong Man Ro

Deep ensembles have emerged as a powerful technique for improving predictive performance and enhancing model robustness across various applications by leveraging model diversity. However, traditional deep ensemble methods are often…

Developing efficient numerical algorithms for the solution of high dimensional random Partial Differential Equations (PDEs) has been a challenging task due to the well-known curse of dimensionality. We present a new solution framework for…

Machine Learning · Computer Science 2019-10-17 Mohammad Amin Nabian , Hadi Meidani

Ensemble methods are commonly used to enhance the generalization performance of machine learning models. However, they present a challenge in deep learning systems due to the high computational overhead required to train an ensemble of deep…

Machine Learning · Computer Science 2023-05-24 Hao Guo , Jiyong Jin , Bin Liu
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