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Multiple classifier system (MCS) has become a successful alternative for improving classification performance. However, studies have shown inconsistent results for different MCSs, and it is often difficult to predict which MCS algorithm…

Machine Learning · Computer Science 2019-08-01 Zhen Gao , Maryam Zand , Jianhua Ruan

Mathematical modeling and simulation of complex physical systems based on partial differential equations (PDEs) have been widely used in engineering and industrial applications. To enable reliable predictions, it is crucial yet challenging…

Numerical Analysis · Mathematics 2021-07-20 Han Gao , Jian-Xun Wang

This paper develops an efficient implementation of the ensemble Kalman filter based on a modified Cholesky decomposition for inverse covariance matrix estimation. This implementation is named EnKF-MC. Background errors corresponding to…

Statistics Theory · Mathematics 2016-05-31 Elias D. Nino , Adrian Sandu , Xinwei Deng

Ensemble Kalman methods solve problems in domains such as filtering and inverse problems with interacting particles that evolve over time. For computationally expensive problems, the cost of attaining a high accuracy quickly becomes…

Numerical Analysis · Mathematics 2025-02-18 Arne Bouillon , Toon Ingelaere , Giovanni Samaey

This paper presents the machine learning-based ensemble conditional mean filter (ML-EnCMF) -- a filtering method based on the conditional mean filter (CMF) previously introduced in the literature. The updated mean of the CMF matches that of…

Machine Learning · Computer Science 2022-08-02 Truong-Vinh Hoang , Sebastian Krumscheid , Hermann G. Matthies , Raúl Tempone

The ensemble Kalman filter (EnKF) is a recursive filter suitable for problems with a large number of variables, such as discretizations of partial differential equations in geophysical models. The EnKF originated as a version of the Kalman…

Atmospheric and Oceanic Physics · Physics 2009-01-26 Jan Mandel

Kalman-type filtering techniques including cubature Kalman filter (CKF) does not work well in non-Gaussian environments, especially in the presence of outliers. To solve this problem, Huber's M-estimation based robust CKF (RCKF) is proposed…

Systems and Control · Computer Science 2020-03-06 Yang Li , Jing Li , Junjian Qi , Liang Chen

The integration of fully homomorphic encryption (FHE) in federated learning (FL) has led to significant advances in data privacy. However, during the aggregation phase, it often results in performance degradation of the aggregated model,…

The Bootstrap Particle Filter (BPF) and the Ensemble Kalman Filter (EnKF) are two widely used methods for sequential Bayesian filtering: the BPF is asymptotically exact but can suffer from weight degeneracy, while the EnKF scales well in…

Methodology · Statistics 2026-01-28 Ilja Klebanov , Claudia Schillings , Dana Wrischnig

Data assimilation (DA) is a key component of many forecasting models in science and engineering. DA allows one to estimate better initial conditions using an imperfect dynamical model of the system and noisy/sparse observations available…

Machine Learning · Computer Science 2023-02-01 Ashesh Chattopadhyay , Ebrahim Nabizadeh , Eviatar Bach , Pedram Hassanzadeh

This study introduces an ensemble framework for unstructured text categorization using large language models (LLMs). By integrating multiple models, the ensemble large language model (eLLM) framework addresses common weaknesses of…

Artificial Intelligence · Computer Science 2025-11-21 Ariel Kamen , Yakov Kamen

We propose an affine-mapping based variational Ensemble Kalman filter for sequential Bayesian filtering problems with generic observation models. Specifically, the proposed method is formulated as to construct an affine mapping from the…

Numerical Analysis · Mathematics 2021-09-06 Linjie Wen , Jinglai Li

Automated Machine Learning (AutoML) significantly simplifies the deployment of machine learning models by automating tasks from data preprocessing to model selection to ensembling. AutoML systems for tabular data often employ post hoc…

Machine Learning · Computer Science 2024-08-06 Jannis Maier , Felix Möller , Lennart Purucker

The ensemble Kalman filter (EnKF) is a popular technique for performing inference in state-space models (SSMs), particularly when the dynamic process is high-dimensional. Unlike reweighting methods such as sequential Monte Carlo (SMC, i.e.…

The ensemble Kalman filter (EnKF) has become a standard methodology for state estimation in high-dimensional systems, yet its various stochastic and deterministic formulations often appear conceptually disconnected. In this paper, a unified…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Jin Won Kim

The integration of quantum machine learning with classical deep learning offers promising avenues for medical image analysis by mapping data into high-dimensional Hilbert spaces. However, effectively unifying these distinct paradigms…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Yasmin Rodrigues Sobrinho , João Renato Ribeiro Manesco , João Paulo Papa

Multi-label classification can effectively identify the relevant labels of an instance from a given set of labels. However,the modeling of the relationship between the features and the labels is critical to the classification performance.…

Artificial Intelligence · Computer Science 2023-09-21 Qiongdan Lou , Zhaohong Deng , Zhiyong Xiao , Kup-Sze Choi , Shitong Wang

We propose a new class of filtering and smoothing methods for inference in high-dimensional, nonlinear, non-Gaussian, spatio-temporal state-space models. The main idea is to combine the ensemble Kalman filter and smoother, developed in the…

Methodology · Statistics 2019-03-22 Matthias Katzfuss , Jonathan R. Stroud , Christopher K. Wikle

We present new methods for multilabel classification, relying on ensemble learning on a collection of random output graphs imposed on the multilabel and a kernel-based structured output learner as the base classifier. For ensemble learning,…

Machine Learning · Computer Science 2013-11-19 Hongyu Su , Juho Rousu

The ensemble Kalman filter (EnKF) is a widely used methodology for state estimation in partial, noisily observed dynamical systems, and for parameter estimation in inverse problems. Despite its widespread use in the geophysical sciences,…

Numerical Analysis · Mathematics 2016-09-21 Claudia Schillings , Andrew M. Stuart