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We extend the Kalman-Bucy filter to the case where both the system and observation processes are driven by finite dimensional L\'{e}vy processes, but whereas the process driving the system dynamics is square-integrable, that driving the…

Probability · Mathematics 2014-04-09 David Applebaum , Stefan Blackwood

We develop a fast algorithm for Kalman Filter applied to the random walk forecast model. The key idea is an efficient representation of the estimate covariance matrix at each time-step as a weighted sum of two contributions - the process…

Numerical Analysis · Mathematics 2015-05-13 Arvind K. Saibaba , Eric Miller , Peter K. Kitanidis

We present a multi-scale lattice Boltzmann scheme, which adaptively refines particles' velocity space. Different velocity sets, i.e., higher- and lower-order lattices, are consistently and efficiently coupled, allowing us to use the…

Fluid Dynamics · Physics 2021-06-16 N. G. Kallikounis , B. Dorschner , I. V. Karlin

This paper proposes a decentralized dynamic state estimation scheme for microgrids. The approach employs the voltage and current measurements in the dq0 reference frame through phasor synchronization to be able to exclude orthogonal…

Systems and Control · Electrical Eng. & Systems 2019-07-09 Bang L. H. Nguyen , Tuyen V. Vu , Tuan A. Ngo

We present recent results on the existence of a continuous time limit for Ensemble Kalman Filter algorithms. In the setting of continuous signal and observation processes, we apply the original Ensemble Kalman Filter algorithm proposed by…

Probability · Mathematics 2020-12-08 Theresa Lange , Wilhelm Stannat

In this paper, we present a new ensemble-based filter method by reconstructing the analysis step of the particle filter through a transport map, which directly transports prior particles to posterior particles. The transport map is…

Machine Learning · Statistics 2026-05-14 Dengfei Zeng , Lijian Jiang

With the arrival of high luminosity B-factories like the Belle II experiment, $\tau$ decay measurements have become more precise than ever, allowing rarer processes to be explored, and finer details of $\tau$ decays to be studied. These are…

High Energy Physics - Phenomenology · Physics 2022-09-27 S. Antropov , Sw. Banerjee , Z. Was , J. Zaremba

Filtering is a widely used methodology for the incorporation of observed data into time-evolving systems. It provides an online approach to state estimation inverse problems when data is acquired sequentially. The Kalman filter plays a…

Probability · Mathematics 2015-05-27 Wonjung Lee , Damon McDougall , Andrew Stuart

This paper focused on the design of an optimized object tracking technique which would minimize the processing time required in the object detection process while maintaining accuracy in detecting the desired moving object in a cluttered…

Computer Vision and Pattern Recognition · Computer Science 2021-03-10 Liana Ellen Taylor , Midriem Mirdanies , Roni Permana Saputra

This paper studies the distributed dimensionality reduction fusion estimation problem with communication delays for a class of cyber-physical systems (CPSs). The raw measurements are preprocessed in each sink node to obtain the local…

Systems and Control · Computer Science 2021-10-13 Bo Chen , Daniel W. C. Ho , Guoqiang Hu , Li Yu

Automatic detection of faults in optical fibers is an active area of research that plays a significant role in the design of reliable and stable optical networks. A fiber measurement system that combines automated data acquisition and…

Signal Processing · Electrical Eng. & Systems 2021-11-05 Yuneisy Garcia Guzman , Felipe Calliari , Gustavo C. Amaral , Michael Lunglmayr

This paper is concerned with the filtering problem in continuous-time. Three algorithmic solution approaches for this problem are reviewed: (i) the classical Kalman-Bucy filter which provides an exact solution for the linear Gaussian…

Optimization and Control · Mathematics 2017-12-22 Amirhossein Taghvaei , Jana de Wiljes , Prashant G. Mehta , Sebastian Reich

The ensemble Kalman filter (EnKF) is a data assimilation technique that uses an ensemble of models, updated with data, to track the time evolution of a usually non-linear system. It does so by using an empirical approximation to the…

Applications · Statistics 2021-03-12 Elizabeth Hou , Earl Lawrence , Alfred O. Hero

For a coronagraph to detect faint exoplanets, it will require focal plane wavefront control techniques to continue reaching smaller angular separations and higher contrast levels. These correction algorithms are iterative and the control…

Instrumentation and Methods for Astrophysics · Physics 2013-06-28 Tyler D. Groff , N. Jeremy Kasdin

A standard approach to approximate inference in state-space models isto apply a particle filter, e.g., the Condensation Algorithm.However, the performance of particle filters often varies significantlydue to their stochastic nature.We…

Artificial Intelligence · Computer Science 2013-01-14 Dirk Ormoneit , Christiane Lemieux , David J. Fleet

This paper deals with the implementation of the extended robust Kalman filter (ERKF) which was developed considering uncertainties in the parameter matrices of the underlying state-space model. A key contribution of this work is the…

Systems and Control · Computer Science 2018-01-16 Gaurav Yengera , Roberto Inoue , Mundla Narasimhappa , Marco H. Terra

We present GLEAM (Galaxy Line Emission & Absorption Modeling), a Python tool for fitting Gaussian models to emission and absorption lines in large samples of 1D extragalactic spectra. GLEAM is tailored to work well in batch mode without…

Instrumentation and Methods for Astrophysics · Physics 2021-03-08 Andra Stroe , Victor-Nicolae Savu

Filtering in spatially-extended dynamical systems is a challenging problem with significant practical applications such as numerical weather prediction. Particle filters allow asymptotically consistent inference but require infeasibly large…

Computation · Statistics 2019-06-04 Matthew M. Graham , Alexandre H. Thiery

We revisit the precision of the measurement of track parameters (position, angle) with optimal methods in the presence of detector resolution, multiple scattering and zero magnetic field. We then obtain an optimal estimator of the track…

Data Analysis, Statistics and Probability · Physics 2017-07-04 Mikael Frosini , Denis Bernard

Fifth-generation (5G) networks are expected to provide high-precision positioning estimation utilizing mmWave signals in urban and downtown areas. In such areas, 5G base stations (BSs) will be densely deployed, allowing for line-of-sight…

Signal Processing · Electrical Eng. & Systems 2023-05-04 Sharief Saleh , Qamar Bader , Mohamed Elhabiby , Aboelmagd Noureldin
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