Aas 16-514 Resident Space Object Shape Inversion via Adaptive Hamiltonian Markov Chain Monte Carlo
نویسندگان
چکیده
This paper presents a method to determine the shape of a space object while simultaneously recovering the observed space object’s inertial orientation. This paper employs an Adaptive Hamiltonian Markov Chain Monte Carlo estimation approach, which uses light curve data to infer the space object’s orientation, shape, and surface parameters. This method is shown to work well for relatively high dimensions and non-Gaussian distributions of the light curve inversion problem.
منابع مشابه
MATHEMATICAL ENGINEERING TECHNICAL REPORTS Hamiltonian Monte Carlo with Explicit, Reversible, and Volume-preserving Adaptive Step Size Control
Hamiltonian Monte Carlo is a Markov chain Monte Carlo method that uses Hamiltonian dynamics to efficiently produce distant samples. It employs geometric numerical integration to simulate Hamiltonian dynamics, which is a key of its high performance. We present a Hamiltonian Monte Carlo method with adaptive step size control to further enhance the efficiency. We propose a new explicit, reversible...
متن کاملBayesian Adaptive Hamiltonian Monte Carlo with an Application to High-Dimensional BEKK GARCH Models
Hamiltonian Monte Carlo (HMC) is a recent statistical procedure to sample from complex distributions. Distant proposal draws are taken in a sequence of steps following the Hamiltonian dynamics of the underlying parameter space, often yielding superior mixing properties of the resulting Markov chain. However, its performance can deteriorate sharply with the degree of irregularity of the underlyi...
متن کاملChannel Tracking for Relay Networks via Adaptive Particle MCMC
This paper presents a new approach for channel tracking and parameter estimation in cooperative wireless relay networks. We consider a system with multiple relay nodes operating under an amplify and forward relay function. We develop a novel algorithm to efficiently solve the challenging problem of joint channel tracking and parameters estimation of the Jakes’ system model within a mobile wirel...
متن کاملMarkov chain Monte Carlo methods for high dimensional inversion in remote sensing
We discuss the inversion of the gas profiles (ozone, NO3, NO2, aerosols and neutral density) in the upper atmosphere from the spectral occultation measurements.The data are produced by the ‘Global ozone monitoring of occultation of stars’ instrument on board the Envisat satellite that was launched in March 2002.The instrument measures the attenuation of light spectra at various horizontal paths...
متن کاملBayesian analysis of continuous time Markov chains with application to phylogenetic modelling
Bayesian analysis of continuous time, discrete state space time series is an important and challenging problem, where incomplete observation and large parameter sets call for user-defined priors based on known properties of the process. Generalized linear models have a largely unexplored potential to construct such prior distributions. We show that an important challenge with Bayesian generaliz...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016