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Deep neural networks (DNNs) have made a revolution in numerous fields during the last decade. However, in tasks with high safety requirements, such as medical or autonomous driving applications, providing an assessment of the models…

Machine Learning · Computer Science 2020-11-20 Omer Achrack , Raizy Kellerman , Ouriel Barzilay

Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

Discrete Mathematics · Computer Science 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana

Ensemble-based adversarial training is a principled approach to achieve robustness against adversarial attacks. An important technique of this approach is to control the transferability of adversarial examples among ensemble members. We…

Computer Vision and Pattern Recognition · Computer Science 2022-02-08 Anh Bui , Trung Le , He Zhao , Paul Montague , Olivier deVel , Tamas Abraham , Dinh Phung

Ensemble learning has gain attention in resent deep learning research as a way to further boost the accuracy and generalizability of deep neural network (DNN) models. Recent ensemble training method explores different training algorithms or…

Machine Learning · Computer Science 2023-01-20 Jingchi Zhang , Huanrui Yang , Hai Li

We propose a new method for inferring the governing stochastic ordinary differential equations (SODEs) by observing particle ensembles at discrete and sparse time instants, i.e., multiple "snapshots". Particle coordinates at a single time…

Machine Learning · Computer Science 2021-03-23 Liu Yang , Constantinos Daskalakis , George Em Karniadakis

This work proposes ensemble Kalman randomized maximum likelihood estimation, a new derivative-free method for performing randomized maximum likelihood estimation, which is a method that can be used to generate approximate samples from…

Numerical Analysis · Mathematics 2025-07-08 Pavlos Stavrinides , Elizabeth Qian

Partial differential equation parameter estimation is a mathematical and computational process used to estimate the unknown parameters in a partial differential equation model from observational data. This paper employs a greedy sampling…

Dynamical Systems · Mathematics 2024-05-15 Ali Forootani , Harshit Kapadia , Sridhar Chellappa , Pawan Goyal , Peter Benner

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

Methodology · Statistics 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

In Bayesian inference, the posterior distributions are difficult to obtain analytically for complex models such as neural networks. Variational inference usually uses a parametric distribution for approximation, from which we can easily…

Machine Learning · Statistics 2019-02-01 Futoshi Futami , Zhenghang Cui , Issei Sato , Masashi Sugiyama

Deep metric learning aims to learn an embedding function, modeled as deep neural network. This embedding function usually puts semantically similar images close while dissimilar images far from each other in the learned embedding space.…

Computer Vision and Pattern Recognition · Computer Science 2018-09-03 Wonsik Kim , Bhavya Goyal , Kunal Chawla , Jungmin Lee , Keunjoo Kwon

In complex networks it is common for each node to belong to several communities, implying a highly overlapping community structure. Recent advances in benchmarking indicate that existing community assignment algorithms that are capable of…

Data Analysis, Statistics and Probability · Physics 2015-03-13 Conrad Lee , Fergal Reid , Aaron McDaid , Neil Hurley

Ensemble Adversarial Training (EAT) attempts to enhance the robustness of models against adversarial attacks by leveraging multiple models. However, current EAT strategies tend to train the sub-models independently, ignoring the cooperative…

Machine Learning · Computer Science 2025-09-03 Li Dengjin , Guo Yanming , Xie Yuxiang , Li Zheng , Chen Jiangming , Li Xiaolong , Lao Mingrui

Although deep learning models have achieved state-of-the-art performance on a number of vision tasks, generalization over high dimensional multi-modal data, and reliable predictive uncertainty estimation are still active areas of research.…

Machine Learning · Computer Science 2020-12-10 Samarth Sinha , Homanga Bharadhwaj , Anirudh Goyal , Hugo Larochelle , Animesh Garg , Florian Shkurti

The success of deep ensembles on improving predictive performance, uncertainty estimation, and out-of-distribution robustness has been extensively studied in the machine learning literature. Albeit the promising results, naively training…

Leveraging the wealth of unlabeled data produced in recent years provides great potential for improving supervised models. When the cost of acquiring labels is high, probabilistic active learning methods can be used to greedily select the…

Machine Learning · Statistics 2021-02-09 Robert Pinsler , Jonathan Gordon , Eric Nalisnick , José Miguel Hernández-Lobato

Multilayer networks have seen a resurgence under the umbrella of deep learning. Current deep learning algorithms train the layers of the network sequentially, improving algorithmic performance as well as providing some regularization. We…

Machine Learning · Computer Science 2016-02-22 Ke Wu , Malik Magdon-Ismail

Image restoration has experienced significant advancements due to the development of deep learning. Nevertheless, it encounters challenges related to ill-posed problems, resulting in deviations between single model predictions and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Shangquan Sun , Wenqi Ren , Zikun Liu , Hyunhee Park , Rui Wang , Xiaochun Cao

Neural networks often make predictions relying on the spurious correlations from the datasets rather than the intrinsic properties of the task of interest, facing sharp degradation on out-of-distribution (OOD) test data. Existing de-bias…

Machine Learning · Computer Science 2023-01-20 Xinzhe Han , Shuhui Wang , Chi Su , Qingming Huang , Qi Tian

The use of ensembles of neural networks (NNs) for the quantification of predictive uncertainty is widespread. However, the current justification is intuitive rather than analytical. This work proposes one minor modification to the normal…

Machine Learning · Statistics 2018-07-03 Tim Pearce , Nicolas Anastassacos , Mohamed Zaki , Andy Neely

We consider meshless approximation for solutions of boundary value problems (BVPs) of elliptic Partial Differential Equations (PDEs) via symmetric kernel collocation. We discuss the importance of the choice of the collocation points, in…

Numerical Analysis · Mathematics 2025-04-29 Tizian Wenzel , Daniel Winkle , Gabriele Santin , Bernard Haasdonk