Dr. Agnar Höskuldsson (born 1939) is a Danish scientist who specializes in the field of chemometrics. He was formerly an associate professor at the

Technical University of Denmark The Technical University of Denmark ( da, Danmarks Tekniske Universitet), often simply referred to as DTU, is a polytechnic university and school of engineering. It was founded in 1829 at the initiative of Hans Christian Ørsted as Denmark's fi ...

. He was awarded the

Herman Wold Herman Ole Andreas Wold (25 December 1908 – 16 February 1992) was a Norwegian-born econometrician and statistician who had a long career in Sweden. Wold was known for his work in mathematical economics, in time series analysis, and in econometric ...

gold medal for his contribution to chemometrics in 1997 and over the span of his career he has published over 30 scientific papers and is credited with over 2000 scientific citations.

Biography

Originally from

Iceland Iceland ( is, Ísland; ) is a Nordic island country in the North Atlantic Ocean and in the Arctic Ocean. Iceland is the most sparsely populated country in Europe. Iceland's capital and largest city is Reykjavík, which (along with its s ...

, Höskuldsson moved to Denmark in 1960 to study

applied mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical s ...

at the

University of Copenhagen The University of Copenhagen ( da, Københavns Universitet, KU) is a prestigious public university, public research university in Copenhagen, Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in ...

. After completing his Master of Science in 1966 he joined

Copenhagen Business School Copenhagen Business School (Danish'': Handelshøjskolen i København'') often abbreviated and referred to as CBS (also in Danish), is a public university situated in Copenhagen, Denmark and is considered one of the most prestigious business schoo ...

where he was awarded a PhD in applied production technology.

Career

In 1975 Höskuldsson started working at The Regional Computing Centre at

as a computer specialist in statistics and production technology. Then, in 1987, he was appointed as an associate professor at Technical University of Denmark. During his professorship he successfully showed that the PLS (Partial Least Squares) algorithm can be a principle in any of a variety of mathematical inequalities asserting a fundamental limit to the precision with which certain pairs of physical properties of a particle known as complementary variables can be known simultaneously. In 1927

Werner Heisenberg Werner Karl Heisenberg () (5 December 1901 – 1 February 1976) was a German theoretical physicist and one of the main pioneers of the theory of quantum mechanics. He published his work in 1925 in a breakthrough paper. In the subsequent series ...

stated that the more precisely the position of a particle is determined, the less precisely its momentum can be known, and vice versa. Based on this theory, Höskuldsson’s

H-Principle In mathematics, the homotopy principle (or h-principle) is a very general way to solve partial differential equations (PDEs), and more generally partial differential relations (PDRs). The h-principle is good for underdetermined PDEs or PDRs, su ...

finds a solution in a stepwise way which viewed as maximizing the co-variance between two data sets. Demonstrating that PLS regression is of a similar kind to the well-known

canonical correlation In statistics, canonical-correlation analysis (CCA), also called canonical variates analysis, is a way of inferring information from cross-covariance matrices. If we have two vectors ''X'' = (''X''1, ..., ''X'n'') and ''Y'' ...

multivariate statistics Multivariate statistics is a subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable. Multivariate statistics concerns understanding the different aims and background of each of the dif ...

. In 1996 he published "Prediction Methods in Science and Technology", a review of latent structure regression, including PLS regression. The following year Höskuldsson received the Herman Wold gold medal from the Swedish Chemical Society at the Scandinavian Symposium on Chemometrics as recognition of his contributions and pioneering work in the field of chemometrics. In 2008 Höskuldsson founded SIME Diagnostics, a company focused on digitising healthcare diagnostics and is his current employment.

The H-Principle of applied mathematics

Developed by Agnar Höskuldsson, ' The H-Principle', is a new foundation for obtaining solutions to mathematical methods where the data is uncertain. The uncertainty approach each step is an optimal balance, which is determined between the improvement in the mathematical criterion and the associated precision. The H-principle has been extended to many areas of applied mathematics due to its flexible and adaptable nature. Making it possible for it to be a common framework for numerical computations of methods in applied mathematics, which use linear algebra and where data are uncertain.

References

{{DEFAULTSORT:Hoskuldsson, Agnar Partial differential equations Academic staff of the Technical University of Denmark 1939 births Living people University of Copenhagen alumni Danish chemists Computational chemists