Model Uncertainty in Matrix Exponential Spatial Growth Regression Models

Lecture 6: Matrix Exponential Spatial models

Different Growth Models in Population Dynamics and its Exponential Regression

Mathematical models of population growth have been constructed to provide an abstract of some significant aspect of true ecological situation. In this paper, we put some models where the parameters of the biological growth model systematically change over time. Verhust (1838) first proposed three-parameter model for the growth of single-species populations [1,5,9] that shows a logistic sigmoid ...

A Matrix Exponential Spatial Specification

We introduce the matrix exponential as a way of modelling spatially dependent data. The matrix exponential spatial specification simplifies the loglikelihood allowing a closed form solution to the problem of maximum likelihood estimation, and greatly simplifies Bayesian estimation of the model. The matrix exponential spatial specification can produce estimates and inferences similar to those fr...

Exponential Language Models , Logistic Regression

In this paper, we modify the traditional trigram model by using utterance-level semantic coherence features in an exponential model. The semantic coherence features are collected by measuring the correlations among content-word pairs occurring in sentences of two corpora , the real corpus and a corpus generated by the baseline trigram model. The measure we use for estimating the semantic associ...

Heterogeneity and Model Uncertainty in Bayesian Regression Models

Data heterogeneity appears when the sample comes from at least two different populations. We analyze three types of situations. In the first and simplest case the majority of the data come from a central model and a few isolated observations come from a contaminating distribution. The data from the contaminating distribution are called outliers and they have been studied in depth in the statist...