Inference over radiative transfer models using variational and expectation maximization methods
نویسندگان
چکیده
Earth observation from satellites offers the possibility to monitor our planet with unprecedented accuracy. Radiative transfer models (RTMs) encode energy through atmosphere, and are used model understand system, as well estimate parameters that describe status of satellite observations by inverse modeling. However, performing inference over such simulators is a challenging problem. RTMs nonlinear, non-differentiable computationally costly codes, which adds high level difficulty in inference. In this paper, we introduce two computational techniques infer not only point estimates biophysical but also their joint distribution. One them based on variational autoencoder approach second one Monte Carlo Expectation Maximization (MCEM) scheme. We compare discuss benefits drawbacks each approach. provide numerical comparisons synthetic simulations real PROSAIL model, popular RTM combines land vegetation leaf canopy analyze performance approaches for modeling inferring distribution three key quantifying terrestrial biosphere.
منابع مشابه
Refactoring acoustic models using variational expectation-maximization
In probabilistic modeling, it is often useful to change the structure, or refactor, a model, so that it has a different number of components, different parameter sharing, or other constraints. For example, we may wish to find a Gaussian mixture model (GMM) with fewer components that best approximates a reference model. Maximizing the likelihood of the refactored model under the reference model ...
متن کاملSegmentation of colour images using variational expectation-maximization algorithm
The approach proposed in this paper takes into account the uncertainty in colour modelling by employing variational Bayesian estimation. Mixtures of Gaussians are considered for modelling colour images. Distributions of parameters characterising colour regions are inferred from data statistics. The Variational Expectation-Maximization (VEM) algorithm is used for estimating the hyperparameters c...
متن کاملVariational expectation-maximization training for Gaussian networks
This paper introduces variational expectation-maximization (VEM) algorithm for training Gaussian networks. Hyperparameters model distributions of parameters characterizing Gaussian mixture densities. The proposed algorithm employs a hierarchical learning strategy for estimating a set of hyperparameters and the number of Gaussian mixture components. A dual EM algorithm is employed as the initial...
متن کاملMixture Models and Expectation-Maximization
This tutorial attempts to provide a gentle introduction to EM by way of simple examples involving maximum-likelihood estimation of mixture-model parameters. Readers familiar with ML paramter estimation and clustering may want to skip directly to Sections 5.2 and 5.3.
متن کاملGaussian Mixure Models and Expectation Maximization
The goal of the assignment is to use the Expectation Maximization (EM) algorithm to estimate the parameters of a two-component Guassian Mixture in two dimensions. This involves estimating the mean vector μk and covariance matrix Σk for both distributions as well as the mixing coefficients (or prior probabilities) πk for each component k. EM works by first choosing an arbitrary parameter set. In...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Machine Learning
سال: 2021
ISSN: ['0885-6125', '1573-0565']
DOI: https://doi.org/10.1007/s10994-021-05999-4