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Nonlinear models are known to provide excellent performance in real-world applications that often operate in non-ideal conditions. However, such applications often require online processing to be performed with limited computational…

In many signal processing applications of Kalman filter (KF) and its variants and extensions, accurate estimation of extreme states is often of great importance. When the observations used are uncertain, however, KF suffers from conditional…

信号处理 · 电气工程与系统科学 2019-08-02 Haojing Shen , Haksu Lee , Dong-Jun Seo

Significant efforts have gone into the development of statistical models for analyzing data in the form of networks, such as social networks. Most existing work has focused on modeling static networks, which represent either a single time…

社会与信息网络 · 计算机科学 2014-11-03 Kevin S. Xu , Alfred O. Hero

In order to integrate uncertainty estimates into deep time-series modelling, Kalman Filters (KFs) (Kalman et al., 1960) have been integrated with deep learning models, however, such approaches typically rely on approximate inference…

机器学习 · 计算机科学 2019-05-20 Philipp Becker , Harit Pandya , Gregor Gebhardt , Cheng Zhao , James Taylor , Gerhard Neumann

Compressed Estimation approaches, such as the Generalised Compressed Kalman Filter (GCKF), reduce the computational cost and complexity of high dimensional and high frequency data assimilation problems; usually without sacrificing…

系统与控制 · 计算机科学 2018-11-21 Karan Narula , Jose Guivant

Collaborative Filtering (CF) is a widely used and effective technique for recommender systems. In recent decades, there have been significant advancements in latent embedding-based CF methods for improved accuracy, such as matrix…

信息检索 · 计算机科学 2023-04-28 Yuntao Du , Jianxun Lian , Jing Yao , Xiting Wang , Mingqi Wu , Lu Chen , Yunjun Gao , Xing Xie

To address data heterogeneity, the key strategy of Personalized Federated Learning (PFL) is to decouple general knowledge (shared among clients) and client-specific knowledge, as the latter can have a negative impact on collaboration if not…

机器学习 · 计算机科学 2024-10-14 Xinghao Wu , Xuefeng Liu , Jianwei Niu , Haolin Wang , Shaojie Tang , Guogang Zhu , Hao Su

In this work, we study the emergence of sparsity and multiway structures in second-order statistical characterizations of dynamical processes governed by partial differential equations (PDEs). We consider several state-of-the-art multiway…

机器学习 · 统计学 2021-12-09 Yu Wang , Alfred Hero

Large-scale distributed systems such as sensor networks, often need to achieve filtering and consensus on an estimated parameter from high-dimensional measurements. Running a Kalman filter on every node in such a network is computationally…

最优化与控制 · 数学 2017-04-12 Mathias Hudoba de Badyn , Mehran Mesbahi

While denoising diffusion and flow matching have driven major advances in generative modeling, their application to tabular data remains limited, despite its ubiquity in real-world applications. To this end, we develop TabbyFlow, a…

机器学习 · 计算机科学 2025-10-06 Andrés Guzmán-Cordero , Floor Eijkelboom , Jan-Willem van de Meent

The widely-used Extended Kalman Filter (EKF) provides a straightforward recipe to estimate the mean and covariance of the state given all past measurements in a causal and recursive fashion. For a wide variety of applications, the EKF is…

机器人学 · 计算机科学 2023-03-28 Stephanie Tsuei , Stefano Soatto , Paulo Tabuada , Mark B. Milam

This paper considers the distributed filtering problem for a class of stochastic uncertain systems under quantized data flowing over switching sensor networks. Employing the biased noisy observations of the local sensor and…

信号处理 · 电气工程与系统科学 2019-10-08 Xingkang He , Wenchao Xue , Xiaocheng Zhang , Haitao Fang

The paper presents a new Kalman filter (KF) implementation useful in applications where the accuracy of numerical solution of the associated Riccati equation might be crucially reduced by influence of roundoff errors. Since the appearance…

最优化与控制 · 数学 2017-09-22 Maria V. Kulikova , Julia V. Tsyganova

Accurate data assimilation (DA) for systems with piecewise-smooth or discontinuous state variables remains a significant challenge, as conventional covariance-based ensemble Kalman filter approaches often fail to effectively balance…

数值分析 · 数学 2025-10-09 Tongtong Li , Anne Gelb , Yoonsang Lee

We present a novel sampling-based method for estimating probabilities of rare or failure events. Our approach is founded on the Ensemble Kalman filter (EnKF) for inverse problems. Therefore, we reformulate the rare event problem as an…

数值分析 · 数学 2021-12-15 Fabian Wagner , Iason Papaioannou , Elisabeth Ullmann

The feedback particle filter (FPF), a resampling-free algorithm proposed over a decade ago, modifies the particle filter (PF) by incorporating a feedback structure. Each particle in FPF is regulated via a feedback gain function (lacking a…

最优化与控制 · 数学 2025-11-04 Ruoyu Wang , Xue Luo

Traditional tracking-by-detection systems typically employ Kalman filters (KF) for state estimation. However, the KF requires domain-specific design choices and it is ill-suited to handling non-linear motion patterns. To address these…

计算机视觉与模式识别 · 计算机科学 2024-12-20 Momir Adžemović , Predrag Tadić , Andrija Petrović , Mladen Nikolić

We study the mathematical properties of the Invariant Extended Kalman Filter (IEKF) when iterating on the measurement update step, following the principles of the well-known Iterated Extended Kalman Filter. This iterative variant of the…

系统与控制 · 电气工程与系统科学 2025-11-26 Sven Goffin , Axel Barrau , Silvère Bonnabel , Olivier Brüls , Pierre Sacré

The optimal fusion of estimates in a Distributed Kalman Filter (DKF) requires tracking of the complete network error covariance, problematic in terms of memory and communication. A scalable alternative is to fuse estimates under unknown…

系统与控制 · 电气工程与系统科学 2022-06-14 Eduardo Sebastián , Eduardo Montijano , Carlos Sagüés

In this work, we present a new derivative-free optimization method and investigate its use for training neural networks. Our method is motivated by the Ensemble Kalman Filter (EnKF), which has been used successfully for solving optimization…

数值分析 · 数学 2018-06-01 Eldad Haber , Felix Lucka , Lars Ruthotto