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Implicit particle filters for data assimilation generate high-probability samples by representing each particle location as a separate function of a common reference variable. This representation requires that a certain underdetermined…

Numerical Analysis · Mathematics 2015-05-27 Matthias Morzfeld , Xuemin Tu , Ethan Atkins , Alexandre J. Chorin

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

Atmospheric and Oceanic Physics · Physics 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

We propose a probabilistic filtering method which fuses joint measurements with depth images to yield a precise, real-time estimate of the end-effector pose in the camera frame. This avoids the need for frame transformations when using it…

Robotics · Computer Science 2016-11-28 Cristina Garcia Cifuentes , Jan Issac , Manuel Wüthrich , Stefan Schaal , Jeannette Bohg

For many nonlinear Bayesian state estimation problems, the posterior recursion is not analytically tractable, leading to algorithms that are influenced by numerical approximation errors. These algorithms depend on parameters that affect the…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Ondrej Straka , Felipe Giraldo-Grueso , Renato Zanetti

This paper presents a novel filter with low computational demand to address the problem of orientation estimation of a robotic platform. This is conventionally addressed by extended Kalman filtering of measurements from a sensor suit which…

Robotics · Computer Science 2016-12-02 Oscar De Silva , George K. I. Mann , Raymond G. Gosine

This paper derives a \emph{distributed} Kalman filter to estimate a sparsely connected, large-scale, $n-$dimensional, dynamical system monitored by a network of $N$ sensors. Local Kalman filters are implemented on the ($n_l-$dimensional,…

Information Theory · Computer Science 2013-12-19 Usman A. Khan , Jose M. F. Moura

The Kalman filter and its extensions are used in a vast number of aerospace and navigation applications for nonlinear state estimation of time series. In the literature, different approaches have been proposed to exploit the structure of…

Systems and Control · Electrical Eng. & Systems 2019-10-11 Matti Raitoharju , Robert Piché

State estimation in multi-layer turbulent flow fields with only a single layer of partial observation remains a challenging yet practically important task. Applications include inferring the state of the deep ocean by exploiting surface…

Fluid Dynamics · Physics 2025-09-30 Zhongrui Wang , Nan Chen , Di Qi

A chained hydrologic-hydraulic model is implemented using predicted runoff from a large-scale hydrologic model (namely ISBA-CTRIP) as inputs to local hydrodynamic models (TELEMAC-2D) to issue forecasts of water level and flood extent. The…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Thanh Huy Nguyen , Andrea Piacentini , Sophie Ricci , Ludovic Cassan , Simon Munier , Quentin Bonassies , Raquel Rodriguez-Suquet

This paper considers an approximate dynamic matrix factor model that accounts for the time series nature of the data by explicitly modelling the time evolution of the factors. We study estimation of the model parameters based on the…

Methodology · Statistics 2026-01-08 Matteo Barigozzi , Luca Trapin

Standard methods of data assimilation assume prior knowledge of a model that describes the system dynamics and an observation function that maps the model state to a predicted output. An accurate mapping from model state to observation…

Dynamical Systems · Mathematics 2019-05-22 Franz Hamilton , Tyrus Berry , Timothy Sauer

Matching dynamical systems, through different forms of conjugacies and equivalences, has long been a fundamental concept, and a powerful tool, in the study and classification of nonlinear dynamic behavior (e.g. through normal forms). In…

Dynamical Systems · Mathematics 2018-03-08 Erik M. Bollt , Qianxiao Li , Felix Dietrich , Ioannis Kevrekidis

This work highlights the duality between state estimation methods and model predictive control. A predictive controller, observed control, is presented that uses this duality to efficiently compute control actions with linear time-horizon…

Optimization and Control · Mathematics 2025-08-20 Eugene T. Hamzezadeh , Andrew J. Petruska

In several applications such as databases, planning, and sensor networks, parameters such as selectivity, load, or sensed values are known only with some associated uncertainty. The performance of such a system (as captured by some…

Data Structures and Algorithms · Computer Science 2010-01-28 Sudipto Guha , Kamesh Munagala

Conformal prediction provides a pivotal and flexible technique for uncertainty quantification by constructing prediction sets with a predefined coverage rate. Many online conformal prediction methods have been developed to address data…

Machine Learning · Statistics 2026-02-25 Dongjian Hu , Junxi Wu , Shu-Tao Xia , Changliang Zou

Data assimilation is a method of uncertainty quantification to estimate the hidden true state by updating the prediction owing to model dynamics with observation data. As a prediction model, we consider a class of nonlinear dynamical…

Statistics Theory · Mathematics 2026-03-05 Kota Takeda , Takashi Sakajo

In this article, we propose a preconditioned Halpern iteration with adaptive anchoring parameters (PHA) by integrating a preconditioner and Halpern iteration with adaptive anchoring parameters. Then we establish the strong convergence and…

Optimization and Control · Mathematics 2026-02-13 Fangbing Lv , Qiao-Li Dong

Hyperparameter optimization (HPO) aims to identify an optimal hyperparameter configuration (HPC) such that the resulting model generalizes well to unseen data. As the expected generalization error cannot be optimized directly, it is…

Machine Learning · Computer Science 2025-06-25 Lennart Schneider , Bernd Bischl , Matthias Feurer

Coflow is a network abstraction used to represent communication patterns in data centers. The coflow scheduling problem encountered in large data centers is a challenging $\mathcal{NP}$-hard problem. This paper tackles the scheduling…

Data Structures and Algorithms · Computer Science 2023-12-29 Chi-Yeh Chen

There is an urgent need to build models to tackle Indoor Air Quality issue. Since the model should be accurate and fast, Reduced Order Modelling technique is used to reduce the dimensionality of the problem. The accuracy of the model, that…

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