33 citations · 81 across the 11 of their papers we have counts for
15 papers
On Solving Continuous-Discrete Projection Filters via Sum-of-Squares Relaxation
Muhammad F. Emzir
The continuous-discrete projection filter offers a rigorous framework to approximate the solution of the nonlinear state estimation problems. However, it suffers from numerical ins…
Conjugate continuous-discrete projection filter via sparse-Grid quadrature
Muhammad F. Emzir, Zaid A. Sawlan, Sami El Ferik
In this article, we study the continuous-discrete projection filter for exponential-family manifolds with conjugate likelihoods. We first derive the local projection error of the p…
A Bayesian Update Method for Exponential Family Projection Filters with Non-Conjugate Likelihoods
Muhammad Fuady Emzir
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-…
Gaussian-Based Parametric Bijections For Automatic Projection Filters
Muhammad F. Emzir, Zheng Zhao, Lahouari Cheded +1
The automatic projection filter is a recently developed numerical method for projection filtering that leverages sparse-grid integration and automatic differentiation. However, its…
Multidimensional Projection Filters via Automatic Differentiation and Sparse-Grid Integration
Muhammad Fuady Emzir, Zheng Zhao, Simo Särkkä
The projection filter is a technique for approximating the solutions of optimal filtering problems. In projection filters, the Kushner--Stratonovich stochastic partial differential…
Deep State-Space Gaussian Processes
Zheng Zhao, Muhammad Emzir, Simo Särkkä
This paper is concerned with a state-space approach to deep Gaussian process (DGP) regression. We construct the DGP by hierarchically putting transformed Gaussian process (GP) prio…
Stability Analysis of Quantum Systems: a Lyapunov Criterion and an Invariance Principle
Muhammad F. Emzir, Matthew J. Woolley, Ian R. Petersen
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…
Non-Stationary Multi-layered Gaussian Priors for Bayesian Inversion
Muhammad Emzir, Sari Lasanen, Zenith Purisha +2
In this article, we study Bayesian inverse problems with multi-layered Gaussian priors. We first describe the conditionally Gaussian layers in terms of a system of stochastic parti…
Enhancing Industrial X-ray Tomography by Data-Centric Statistical Methods
Jarkko Suuronen, Muhammad Emzir, Sari Lasanen +2
X-ray tomography has applications in various industrial fields such as sawmill industry, oil and gas industry, chemical engineering, and geotechnical engineering. In this article,…
Multispectral Photon-Counting for Medical Imaging and Beam Characterization
E. Brücken, S. Bharthuar, M. Emzir +18
We present the current status of our project of developing a photon counting detector for medical imaging. An example motivation lays in producing a monitoring and dosimetry device…
Lyapunov Stability Analysis for Invariant States of Quantum Systems
Muhammad F. Emzir, Ian R. Petersen, Matthew J. Woolley
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…
On Physical Realizability of Nonlinear Quantum Stochastic Differential Equations
Muhammad F. Emzir, Matthew J. Woolley, Ian R. Petersen
In this article we study physical realizability for a class of nonlinear quantum stochastic differential equations (QSDEs). Physical realizability is a property in which a QSDE cor…
Quartz-superconductor quantum electromechanical system
M. J. Woolley, M. F. Emzir, G. J. Milburn +4
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 int…
A Quantum Extended Kalman Filter
Muhammad F. Emzir, Matthew J. Woolley, Ian R. Petersen
A stochastic filter uses a series of measurements over time to produce estimates of unknown variables based on a dynamic model. For a quantum system, such an algorithm is provided…
Quantum filtering for multiple diffusive and Poissonian measurements
Muhammad F. Emzir, Matthew J. Woolley, Ian R. Petersen
We provide a rigorous derivation of a quantum filter for the case of multiple measurements being made on a quantum system. We consider a class of measurement processes which are fu…