Muhammad F. Emzir
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View article: Modeling the activity ratio of soil potassium using machine learning approach
Modeling the activity ratio of soil potassium using machine learning approach Open
The potassium (K) Quantity-Intensity (Q-I) relationship results in important parameters, including the activity ratio of potassium at equilibrium (AReK), which indicates potassium availability in soil. Experiments to observe soi…
View article: Conjugate continuous-discrete projection filter via sparse-Grid quadrature
Conjugate continuous-discrete projection filter via sparse-Grid quadrature Open
In this article, we study the continuous-discrete projection filter for the exponential-family manifolds with conjugate likehoods. We first derive the local projection error of the prediction step of the continuous-discrete projection filt…
View article: A Bayesian Update Method for Exponential Family Projection Filters with Non-Conjugate Likelihoods
A Bayesian Update Method for Exponential Family Projection Filters with Non-Conjugate Likelihoods Open
The projection filter is one of the approximations to the solution of the optimal filtering problem. It approximates the filtering density by projecting the dynamics of the square-root filtering density onto the tangent space of the square…
View article: Itô-vector projection filter for exponential families
Itô-vector projection filter for exponential families Open
In this paper, we study the application of Itô-vector projection [1] to the optimal filtering problem. The algorithm projects one SDE to another, possibly lower dimensional, SDE by minimizing an Itô–Taylor expansion of the local projection…
View article: Gaussian-Based Parametric Bijections For Automatic Projection Filters
Gaussian-Based Parametric Bijections For Automatic Projection Filters Open
The automatic projection filter is a recently developed numerical method for projection filtering that leverages sparse-grid integration and automatic differentiation. However, its accuracy is highly sensitive to the accuracy of the cumula…
View article: Pathwise approximations to solving the filtering problem for the stochastic chemostat
Pathwise approximations to solving the filtering problem for the stochastic chemostat Open
This paper concerns the inverse problem of characterising the state of a bioreactor from observations. In laboratory settings, the bioreactor is represented by a device called a chemostat. We consider a differential description of the evol…
View article: Efficient Projection Filter Algorithm for Stochastic Dynamical Systems with Correlated Noises and State-Dependent Measurement Covariance
Efficient Projection Filter Algorithm for Stochastic Dynamical Systems with Correlated Noises and State-Dependent Measurement Covariance Open
View article: Multidimensional projection filters via automatic differentiation and sparse-grid integration
Multidimensional projection filters via automatic differentiation and sparse-grid integration Open
View article: Multispectral photon-counting for medical imaging and beam characterization — A project review
Multispectral photon-counting for medical imaging and beam characterization — A project review Open
View article: Multidimensional Projection Filters via Automatic Differentiation and Sparse-Grid Integration
Multidimensional Projection Filters via Automatic Differentiation and Sparse-Grid Integration Open
The projection filter is a technique for approximating the solutions of optimal filtering problems. In projection filters, the Kushner--Stratonovich stochastic partial differential equation that governs the propagation of the optimal filte…
View article: Deep state-space Gaussian processes
Deep state-space Gaussian processes Open
View article: Non-stationary multi-layered Gaussian priors for Bayesian inversion
Non-stationary multi-layered Gaussian priors for Bayesian inversion Open
In this article, we study Bayesian inverse problems with multi-layered Gaussian priors. The aim of the multi-layered hierarchical prior is to provide enough complexity structure to allow for both smoothing and edge-preserving properties at…
View article: Stability Analysis of Quantum Systems: a Lyapunov Criterion and an Invariance Principle
Stability Analysis of Quantum Systems: a Lyapunov Criterion and an Invariance Principle Open
In this article, we propose a Lyapunov stability approach to analyze the convergence of the density operator of a quantum system. In analog to the classical probability measure for Markovian processes, we show that the set of invariant den…
View article: Enhancing Industrial X-ray Tomography by Data-Centric Statistical\n Methods
Enhancing Industrial X-ray Tomography by Data-Centric Statistical\n Methods Open
X-ray tomography has applications in various industrial fields such as\nsawmill industry, oil and gas industry, chemical engineering, and geotechnical\nengineering. In this article, we study Bayesian methods for the X-ray\ntomography recon…
View article: Enhancing industrial X-ray tomography by data-centric statistical methods
Enhancing industrial X-ray tomography by data-centric statistical methods Open
X-ray tomography has applications in various industrial fields such as sawmill industry, oil and gas industry, as well as chemical, biomedical, and geotechnical engineering. In this article, we study Bayesian methods for the X-ray tomograp…
View article: Enhancing industrial X-ray tomography by data-centric statistical methods
Enhancing industrial X-ray tomography by data-centric statistical methods Open
X-ray tomography has applications in various industrial fields such as sawmill industry, oil and gas industry, as well as chemical, biomedical, and geotechnical engineering. In this article, we study Bayesian methods for the X-ray tomograp…
View article: Filtering for a Class of Quantum Systems With Classical Stochastic Disturbances
Filtering for a Class of Quantum Systems With Classical Stochastic Disturbances Open
We present filtering equations for a class of hybrid quantum-classical systems where a quantum optical cavity system is continuously disturbed by a classical linear stochastic process. Another quantum cavity system is employed to describe …
View article: Convergence to Pure Steady States of Linear Quantum Systems
Convergence to Pure Steady States of Linear Quantum Systems Open
We study the convergence of density operators of
\nsingle-mode linear quantum systems towards their steady states
\nin trace norm. We give compact and intuitive necessary and
\nsufficient conditions for such linear quantum systems to have
…
View article: On physical realizability of nonlinear quantum stochastic differential equations
On physical realizability of nonlinear quantum stochastic differential equations Open
View article: Lyapunov stability analysis for invariant states of quantum systems
Lyapunov stability analysis for invariant states of quantum systems Open
In this article, we propose a Lyapunov stability approach to analyze the convergence of the density operator of a quantum system. In contrast to many previously studied convergence analysis methods for invariant density operators which use…
View article: A quantum extended Kalman filter
A quantum extended Kalman filter Open
A stochastic filter uses a series of measurements over time to produce\nestimates of unknown variables based on a dynamic model. For a quantum system,\nsuch an algorithm is provided by a quantum filter, which is also known as a\nstochastic…
View article: On Physical Realizability of Nonlinear Quantum Stochastic Differential\n Equations
On Physical Realizability of Nonlinear Quantum Stochastic Differential\n Equations Open
In this article we study physical realizability for a class of nonlinear\nquantum stochastic differential equations (QSDEs). Physical realizability is a\nproperty in which a QSDE corresponds to the dynamics of an open quantum system.\nWe d…
View article: Quartz-superconductor quantum electromechanical system
Quartz-superconductor quantum electromechanical system Open
We propose and analyse a quantum electromechanical system composed of a monolithic quartz bulk acoustic wave (BAW) oscillator coupled to a superconducting transmon qubit via an intermediate LC electrical circuit. Monolithic quartz oscillat…
View article: Quartz-superconductor quantum electromechanical system
Quartz-superconductor quantum electromechanical system Open
We propose and analyse a quantum electromechanical system composed of a monolithic quartz bulk acoustic wave (BAW) oscillator coupled to a superconducting transmon qubit via an intermediate LC electrical circuit. Monolithic quartz oscillat…
View article: Quantum filtering for multiple diffusive and Poissonian measurements
Quantum filtering for multiple diffusive and Poissonian measurements Open
We provide a rigorous derivation of a quantum filter for the case of multiple\nmeasurements being made on a quantum system. We consider a class of measurement\nprocesses which are functions of bosonic field operators, including\ncombinatio…