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TINA Memos: Advanced Applied Statistics

year

1987
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012

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
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 26/02/09
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. the courtesy of at least reading its contents first.}} pdf 30/08/12
1999-004 B-Fitting: An Estimation Technique With Automatic Parameter Selection. N.A.Thacker, D.Prendergast, and P.I.Rockett. pdf 06/08/11
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 12/03/13
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 26/02/09
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 22/09/09
2001-010 The Effects of a Square Root Transform on a Poisson Distributed Quantity. N.A. Thacker and P.A. Bromiley pdf 21/02/09
2001-013 Computing Covariances for Mutual Information Co-registration. N.A. Thacker, P.A. Bromiley and M. Pokric pdf 27/10/09
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 14/02/09
2002
2002-002 Validating MRI Field Homogeneity Correction Using Image Information Measures. N.A.Thacker , A. J. Lacey and P. A. Bromiley. pdf 14/02/09
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 17/10/12
2003-003 Products and Convolutions of Gaussian Probability Density Functions P.A. Bromiley pdf 15/08/14
2004
2004-004 Shannon Entropy, Renyi Entropy, and Information P.A. Bromiley, N.A. Thacker and E. Bouhova-Thacker pdf 31/07/10
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 25/06/10
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 14/05/10
2005-008 Tutorial: Statistical Design of Quantitative Vision Systems; Beyond Likelihood N.A.Thacker pdf 08/12/16
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
2005-0015 The Use of Modern Statistical Techniques in Physics: Comments on Talks at the PHYSTAT Meeting 17/11/05. N. A. Thacker. pdf 30/09/09
2006
2006-006 Tutorial: A Critical Assessment of the Use of Riemann Manifolds for Shape Analysis. N.A. Thacker. pdf 12/11/10
2006-007 Quantitative Verification of Projected Views Using a Power Law Model of Feature Detection Simon Coupe and Neil Thacker pdf 12/06/14
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 22/08/12
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 05/06/15
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, J.V. Manjon and P.A. Bromiley pdf 25/09/10
2008-005 Tutorial: Least-Squares Fitting P. A. Bromiley pdf 23/02/11
2008-009 The TINA Medical Image Segmentation Algorithm: Mathematical Derivations and Proofs P. A. Bromiley pdf 20/01/10
2009
2009-003 Dual Component Linear Interpolation of View Spheres. N. A. Thacker, S.Coupe and P.A.Bromiley pdf 11/07/13
2009-004 Histogram-based Image Quality Checking. N.A. Thacker, H. Ragheb and P.A. Bromiley. pdf 09/02/16
2009-008 Avoiding Zero and Infinity in Sample Based Algorithms N.A.Thacker pdf 30/04/14
2010
2010-006 Solving the Bias-Variance Problem during Network Training. N.A. Thacker pdf 11/05/10
2010-008 Can we use Pattern Recognition for Science? N.A.Thacker pdf 15/04/11
2010-009 Shape Analysis using Measurement Covariances H. Ragheb, N.A. Thacker pdf 09/02/11
2011
2011-001 Measurement Covariance Structure for Pseudo Landmarks N.A. Thacker, H. Ragheb pdf 01/02/11
2011-003 Quantitative Counting with Bayes Theorem P. Tar {\footnote {Supervisor N.A. Thacker.}} pdf 10/06/11
2011-004 Extended Maximum Likelihood vs Maximum Likelihood P. Tar pdf 01/10/11
2011-006 Morphometric Shape Analysis with Measurement Covariance Estimates H.Ragheb and N.A.Thacker pdf 01/10/11
2011-009 Estimating Anisotropic Measurement Errors on Landmarks; Extension from 2D to 3D. Hossein Ragheb, Neil.A.Thacker. pdf 13/12/11
2012
2012-001 Morphometric Shape Analysis with Measurement Covariance Estimates. Hossein Ragheb, Neil.A.Thacker, Paul Bromiley, Anja Schunke, Diethard Tautz. pdf 02/06/12
2012-003 Quantitative Prior Estimation and Independent Component Analysis for Linear Poisson Models. P. Tar, N.A. Thacker. pdf 07/09/12
2012-007 Monte-Carlo ADC Measurement Sensitivity Tables for Null Hypothesis Tests in Organs with Heterogeneity. Neil.A.Thacker and Hossein Ragheb. pdf 30/01/13
2013
2013-003 Quantitative Shape Analysis with Weighted Covariance Estimates for Increased Statistical Efficiency. Hossein Ragheb, Neil A.Thacker pdf 06/04/13
2013-004 Semi-automatic Landmark Point Annotation for Geometric Morphometrics P.A. Bromiley, A.C. Schunke, H. Ragheb, N.A. Thacker and D. Tautz pdf 07/09/13
2013-007 Quantitative Pattern Recognition: ~ Warts and All. N.A.Thacker. pdf 22/02/14
2013-008 Quantitative Planetary Image Analysis via Machine Learning. Paul Tar pdf 15/10/14
2014
2014-002 Quantitation of False Positives Within Moon Zoo Crater Annotations. P.D.Tar and N.A. Thacker. pdf 20/05/14
2014-005 Negative Calibration for Citizen Science Crater Data. Paul D. Tar, N.A. Thacker. pdf 29/10/14
2014-008 Understanding and Reducing Crater Counting Errors in Citizen Science Data and the Need for Standardisation. P.D. Tar, N.A. Thacker, Others plus MoonZoo team. pdf 24/06/15
2014-009 Automated Quantitative Measurements and Associated Error Covariances for Planetary Image Analysis. P.D. Tar, N.A. Thacker, J.D. Gilmour, M.A. Jones. pdf 23/06/15
2015
2015-001 Improving the Stability of MRI Parameter Estimates using Regional Sub-Sampling S.V. Notley and N.A. Thacker pdf 23/10/15
2015-002 Understanding and Improving Residual Distributions for Linear Poisson Models P.D. Tar, N.A. Thacker pdf 10/03/15
2015-005 Background Subtraction and Noise Modelling for Spectroscopy Data Ashley Seepujak, Neil A Thacker, Paul D Tar pdf 25/04/15
2015-006 Numerical Estimation of Parameter Covariances. Neil A Thacker, Ashley Seepujak, Paul D Tar, Georgios Krokos. pdf 19/05/15
2015-008 Linear Poisson Models; For the Rest of Us. J. Gilmour. pdf 23/06/15
2015-010 Fourier Domain Alignment for Independently Binned Poisson Spectra P.D. Tar, N.A.Thacker and A. Seepujak. pdf 12/09/15
2015-011 Extraction of Physical Quantities from Isotope Mixing Diagrams. Jamie Gilmour. pdf 23/07/15
2015-014 The Application of Linear Poisson Models to Changes in ADC Measurements. Paul Tar and Neil Thacker pdf 10/03/17
2015-015 Quantitative Noise Estimation in Temporal MR Sequences G. Krokos and N.A.Thacker. pdf 10/11/15
2016
2016-003 Volumetric Accuracy and Parameter dependencies of MR Brain Tissue Model S. V Notley and N. A. Thacker pdf 02/03/16
2016-004 ``Adopting the Conventional Mis-use of Probability Notation...'' N.A. Thacker and S.Notley. pdf 02/06/16
2016-006 When Bayesian Model Selection meets the Scientific Method. N.A. Thacker. pdf 17/02/17
2016-007 The Statistical Properties of Raw and Preprocessed ToF Mass Spectra. A.P. Seepujak, N.A. Thacker, P.D. Tar and J.D. Gilmour. pdf 04/10/16
2016-009 Estimating Noise Models for Arbitrary Images. N. A. Thacker, S. Deepaisarn and A. McMahon. pdf 29/04/16

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