INF9540 – Advanced Topics in Linear Algebra

 

Curriculum (Pensum)

Time Schedule

 

 

Introductory lessons:

 

What is an eigenvector?

Overview of papers

 

Core Course material:

 

            Linear Regression Models, Hege Leite Størvold

            Introduction to ICA, Hans Jørgen Bang

            Survey on ICA, Johan Fredrik Synnevåg

            The Early History of the SVD, Carl Inge Colombo Nilsen

            Perturbation Theory for the SVD, Øystein Gjerstad

            Orthogonal Procrustes Rotations, Arne Gjuvsland

 

            Generalizing the SVD, Carl Inge Colombo Nilsen

 

Compulsory Assignments (web presentations) by the Students

             

         Vurdering av kvaliteten på mikroarraydata”, Øystein Gjerstad

         Bruk av ICA og PCA på blandinger av DNA-spektre”, Monika Zimonja og Siren Røst Veflingstad

         ”Inverse fyllebriller”, av Jan Egil Kirkebø

         Variable Selection on Microarray data using multivariate selection methods”, Hege Leite Størvold

         Blind source separation for convolutive mixtures using spatially resampled observations”, Johan Fredrik Synnevåg

         PLS applied to model parameters of non-linear dynamic systems and estimated genetic values, Arne Gjuvsland

 

Workshop Notes & MATLAB code

 

            Multivariate Variable Selection, Ulf Indahl

 

 

Educational Software

(download zip-file of MATLAB code here)

 

 

Interactive Generalized Procrustes Analysis (GPA)

 

Graphical Interpretation of Independent Component Analysis (ICA)

 

Visualization of Algebraic Power Method

 


Other stuff

 

Oversikt/oppsummering/huskeliste til eksamen.

Exercises