Introduction
These memos contain a combination of derivations of statistical procedures
combined with discussions of appropriate use of advanced methods. In particular
material is presented which discusses Bayes Theory and the non-equivalence
of probability and probability densities, which we believe has important
consequences for the fields of computer vision and pattern recognition.
In addition, several documents discuss the origins of `information'
based measures and their often inappropriate use as cost fucntions.
Memo Index
|
|
Number
|
Title
|
Authors
|
File
|
Updated
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|
1993-001
|
Statistical Analysis of a Stereo Matching Algorithm.
|
N.A.Thacker and P.Courtney.
|
pdf
|
16/10/04
|
|
1994
|
|
1994-003
|
Using a Switchable Model Kalman Filter.
|
A.J.Lacey, N.A.Thacker and N.L.Seed.
|
pdf
|
11/12/07
|
|
1996
|
|
1996-002
|
Tutorial: The Likelihood Interpretation of the Kalman Filter.
|
N.A.Thacker, A.J.Lacey.
|
pdf
|
11/12/07
|
|
1997
|
|
1997-001
|
The Bhattacharyya Metric as an Absolute Similarity Measure for Frequency Coded Data.
|
N. A. Thacker, F. J. Aherne and P. I. Rockett
|
pdf
|
29/08/08
|
|
1997-002
|
Supervised Learning Extensions to the CLAM Network.
|
N. A. Thacker, I.A.Abraham and P.Courtney.
|
pdf
|
11/12/07
|
|
1997-003
|
Tutorial: Supervised Neural Networks in Machine Vision.
|
N. A. Thacker.
|
pdf
|
11/12/07
|
|
1999
|
|
1999-001
|
The Bhattacharyya Measure Requires No Bias Correction.
|
N.A.Thacker.
|
pdf
|
24/06/08
|
|
1999-004
|
B-Fitting: An Estimation Technique With Automatic Parameter Selection.
|
N.A.Thacker, D.Prendergast, and P.I.Rockett.
|
pdf
|
13/11/07
|
|
1999-006
|
The Application of the Bhattacharra Measure as a Selector of the Point of Optimal Generalisation During Neural Network Training.
|
P. Rockett and N. A. Thacker.
|
pdf
|
04/11/05
|
|
2000
|
|
2000-003
|
Tutorial: Statistics and Estimation in Algorithmic Vision.
|
N.A.Thacker.
|
pdf
|
17/04/08
|
|
2001
|
|
2001-005
|
Model Selection and Convergence of the EM Algorithm.
|
N.A. Thacker, M. Pokric and A.J.Lacey.
|
pdf
|
13/11/07
|
|
2001-007
|
Performance Characterisation in Computer Vision: The Role of Statistics in Testing and Design.
|
P. Courtney and N.A.Thacker.
|
pdf
|
13/11/07
|
|
2001-008
|
Derivation of the Renormalisation Formula for the Product of Uniform Probability Distributions and Extension to Non-Integer Dimensionality.
|
P. A. Bromiley, T.F. Cootes and N.A. Thacker
|
pdf
|
13/11/07
|
|
2001-010
|
The Effects of a Square Root Transform on a Poisson Distributed Quantity.
|
N.A. Thacker and P.A. Bromiley
|
pdf
|
13/11/07
|
|
2001-013
|
Computing Covariances for Mutual Information Co-registration.
|
N.A. Thacker, P.A. Bromiley and M. Pokric
|
pdf
|
10/11/04
|
|
2001-014
|
Bayesian and Non-Bayesian Probabilistic Models for Image Analysis
|
P.A. Bromiley, N.A. Thacker, M.L.J. Scott, M. Pokric, A.J. Lacey and T.F. Cootes
|
pdf
|
13/11/07
|
|
2002
|
|
2002-002
|
Validating MRI Field Homogeneity Correction Using Image Information Measures.
|
N.A.Thacker , A. J. Lacey and P. A. Bromiley.
|
pdf
|
13/11/07
|
|
2002-007
|
The Effects of an Arcsin Square Root Transform on a Binomial Distributed Quantity.
|
P.A. Bromiley and N.A. Thacker
|
pdf
|
20/11/07
|
|
2002-009
|
Using Quantitative Statistics for the Construction of Machine Vision Systems.
|
N.A.Thacker
|
pdf
|
13/11/06
|
|
2003
|
|
2003-002
|
Computing Covariances for Mutual Information Coregistration 2
|
P.A. Bromiley and N.A. Thacker
|
pdf
|
12/04/05
|
|
2003-003
|
Products and Convolutions of Gaussian Distributions
|
P.A. Bromiley
|
pdf
|
16/07/04
|
|
2004
|
|
2004-004
|
Shannon Entropy, Renyi Entropy, and Information
|
P.A. Bromiley, N.A. Thacker and E. Bouhova-Thacker
|
pdf
|
11/12/07
|
|
2004-005
|
The Equal Variance Domain: Issues Surrounding the Use of Probability Densities in Algorithm Design
|
Neil A. Thacker, Paul A. Bromiley and Emanuele Trucco
|
pdf
|
19/07/08
|
|
2004-006
|
Parameter Estimation for EM Mixture Modelling and its Relationship to Likelihood and EML.
|
N.A.Thacker.
|
pdf
|
06/06/08
|
|
2004-010
|
Critical Values for the Test of Flatness of a Histogram Using the Bhattacharyya Measure.
|
M.L.J.Scott.
|
pdf
|
27/11/04
|
|
2005
|
|
2005-006
|
Curve Fitting and Image Potentials: A Unification within the Likelihood Framework.
|
N.A.Thacker.
|
pdf
|
13/11/07
|
|
2005-008
|
Tutorial: Statistical Design of Quantitative Vision Systems; Beyond Likelihood
|
N.A.Thacker
|
pdf
|
27/08/08
|
|
2005-011
|
Comparing the Performance of Least-Squares Estimators: when is GTLS Better than LS?
|
A. Nayak, E. Trucco and N.A. Thacker
|
pdf
|
13/11/07
|
|
2006
|
|
2006-008
|
Statistical Principles for Selection of Computer Vision Algorithms as Modules for Visual Perception - Show Me the Errors.
|
N. A. Thacker and P. A. Bromiley.
|
pdf
|
15/04/08
|
|
2007
|
|
2007-001
|
Retinal Sampling, Feature Detection and Saccades; ~ A Statistical Perspective.
|
Neil Thacker and Charles Leek.
|
pdf
|
13/11/07
|
|
2007-002
|
Pad\'e Approximant: How to... and Why.
|
D.C.Williamson and N.A.Thacker
|
pdf
|
23/03/07
|
|
2007-008
|
Tutorial: Defining Probability for Science.
|
Neil A. Thacker.
|
pdf
|
21/11/08
|
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2007-010
|
Parameter Estimation for EM in the Presence of Noise.
|
N. A. Thacker and P.A.Bromiley.
|
pdf
|
01/09/07
|
|
2008
|
|
2008-004
|
A Statistical Interpretation of Non-Local Means.
|
N. A. Thacker and J.V. Manjon.
|
pdf
|
20/05/08
|
|
2008-005
|
Tutorial: Least-Squares Fitting
|
P. A. Bromiley
|
pdf
|
13/06/08
|
