Fredrik Bajers Vej 5
Postboks 159 9100 Aalborg
Telefon: 9940 9940
Læs op (få teksten på websitet læst op)
27.06.2017 kl. 14.00 - 15.00
Department of Electronic Systems is pleased to announce the following ES lecture:
“Back to the Roots: Solving Polynomial Systems with Numerical Linear Algebra Tools”
by Prof. Dr. Bart De Moor, ESAT-STADIUS, Department of Electrical Engineering, KU Leuven, Belgium
Finding the roots of a set of multivariate polynomials has numerous applications in geometry and optimization, system and control theory, modeling and identification, statistics and bioinformatics, and many other scientific disciplines. It is an old yet fascinating problem, that has intrigued scientists throughout the ages, starting with the Greeks, over Fermat and Descartes, Newton, Leibniz, Bezout and many many others. It all started with trying to find the roots of a polynomial equation with real coefficients in one unknown.
In the beginning of the 19-th century, formulas were known for the roots of polynomials up to degree 4, but it was Galois who showed that no general formulas exist for degree 5 and higher. This implies that roots of polynomials of degree higher than 4 in general can only be found using (iterative) numerical algorithms. Soon thereafter, Sylvester and other contemporains started research on how to find the roots of sets of multivariate polynomials. Sylvester derived an elimination algorithm, in which he eliminates variables one by one, ending up with a ‘characteristic equation’ in one variable only. If one then has obtained the roots of this last equation, one can then ‘back-substitute’ root-by-root into the other equations, and hence in principle find all roots. Sylvester’s algorithm is the equivalent of Gaussian elimination for linear equations, but more importantly, his results imply that finding the roots of a polynomial system is an eigenvalue problem!
Later on, in the 20th century, there was a booming mathematical development, which gave birth to a discipline that today is called algebraic geometry, with a fabulous rich history, to which famous mathematicians, such as Hilbert, but also many others, contributed. It also led to the machinery of Gröbner bases and the like, which today are ubiquitous in books and symbolic methods in algebraic geometry, with numerous applications in fields like geometric design, combinatorics and integer programming, coding theory, robotics, etc…
We will however not talk about these developments, but return to the very roots and early days of the problem. In this talk, we will elaborate on a research program, the objective of which is to translate the many – symbolic - algorithms from algebraic geometry, into numerical linear algebra algebra algorithms. Our talk develops ideas on three complementary levels: - Geometric linear algebra, which deals with column and row vector spaces, dimensions, orthogonality, kernels.
Bart De Moor was born Tuesday July 12, 1960 in Halle, Belgium. In 1983, he obtained his Master Degree in Electrical Engineering at the KU Leuven, Belgium, and a PhD in Engineering at the same university in 1988. He spent 2 years as a Visiting Research Associate at Stanford University (1988-1990) at the departments of EE (ISL, Prof. Kailath) and CS (Prof.Golub). Currently, he is a full professor at the Department of Electrical Engineering (http://www.esat.kuleuven.be/english) of the KU Leuven in the research group ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
His research interests are in numerical linear algebra and optimization, system theory and system identification, quantum information theory, control theory, data-mining, information retrieval and bio-informatics (for books and research publications, see the publication search engine at http://homes.esat.kuleuven.be/~sistawww/cgi-bin/pub.pl).
Full details on his CV can be found at http://www.kuleuven.be/wieiswie/nl/person/00008904
Refreshments will be served after the lecture.
All are welcome!
Free of charge
Department of Electronic Systems
Aalborg University, Fredrik Bajers Vej 7, B3-104
15.08.2017 kl. 08.00 - 18.08.2017 kl. 18.00
From 15-18 August 2017, the 29th Congress of Nordic Historians will take place at Aalborg Congress & Culture Centre, Denmark. The main organisers are the Centre for History at the Department for Culture and Global Studies at Aalborg University, the Danish Historical Society and the Nordic Committee for Historians.
18.08.2017 kl. 13.00 - 16.00
Klinisk Institut, Aalborg Universitet og Aalborg Universitetshospital har den glæde at invitere til ph.d.-forsvar ved læge Lasse Jørgensen Cehofski, Øjenafdelingen, Aalborg Universitetshospital, som forsvarer ph.d.-afhandlingen: The Retinal Protein Profile in Experimental Branch Retinal Vein Occlusion - Interventions With an Intravitreal Anti-VEGF Agent and a Corticosteroid Implant
18.08.2017 kl. 13.00 - 16.00
Anitha Asamoah, Department of Chemistry and Bioscience, will defend her thesis on "Assessment of the Contamination Level of Persistent Organic Pollutants in Breast Milk of Ghanaian Women from a Polluted Area in Accra"
18.08.2017 kl. 13.00 - 16.00
18.08.2017 kl. 13.00 - 17.00
Maciej Plocharski will defend his ph.d. thesis: "Sulcal Morphology Analysis from MRI Data for Classification of Alzheimer’s Disease"
20.08.2017 kl. 18.00 - 22.08.2017 kl. 16.00
These are extraordinary times. Unprecedented and sustained tourism growth has transformed many cities across Europe while rural and regional areas remain unsure how they can better leverage the massive growth at their doorstep. The tourism industry is undergoing restructuring, new stakeholders are emerging, landscapes of power are shifting, and lines of responsibilities are being redrawn.
21.08.2017 kl. 13.00 - 16.00
21.08.2017 kl. 13.00 - 17.00
Steffan Wittrup Christensen will defend his Ph.D. thesis on "Neck pain – Sensory and motor effects during shoulder movements"
22.08.2017 kl. 08.00 - 24.08.2017 kl. 16.00
For the first time the Nordic Laser Materials Processing Conference is to be held in Aalborg and it is a great pleasure to invite laser scientists and industrial representatives to the 16th NOLAMP conference. We will do our best to make it an inspiring conference for researchers, industry and product developers and manufactures in the laser community.
22.08.2017 kl. 13.00 - 16.00
Farshad Badie will defend his thesis "A Theoretical Model for Meaning Construction through Constructivist Concept Learning - A Conceptual, Terminological, Logical and Semantic Study within Human-Human-Machine Interaction".
23.08.2017 kl. 09.00 - 24.08.2017 kl. 16.00
This PhD course is scheduled to follow up on the two day Tourism Education Futures Initiative (TEFI) Conference “Building our stories: Co-creating tourism futures in research and practice” (20-22 August 2017).
23.08.2017 kl. 10.00 - 15.00
Invitation to a research symposium on "Knees in the Balance - New Results in Knee Osteoarthritis Research"
24.08.2017 kl. 17.00 - 19.00
Hvordan kan ÆSTETISKE LÆREPROCESSER og KUNSTINTEGRERENDE PÆDAGOGIK åbne for nye måder at lære på? Mød kreativitetsforsker Julie Borup Jensen, der sammen med praktikere vil præsentere nye måder at lære på.
28.08.2017 kl. 09.00 - 29.08.2017 kl. 16.30
På Aalborg Universitet holdes hvert år sidst i august konferencen Trafikdage hvor 300 deltagere præsenterer forskningsresultater, analyser samt praktiske erfaringer fra transportsektoren. Deltagerne er både forskere & praktikere, men også politikere og presse – fordi det er vigtigt at understøtte dialog og udbygge netværk.
28.08.2017 kl. 13.00 - 16.00
Title of the thesis: Dwelling in Mundane Mobility: Caravanning in Denmark.