Ulf Grenander

Ulf Grenander ( born July 23, 1923 in Västervik ) is a Swedish mathematician who deals with mathematical methods of shape and pattern recognition (pattern theory ).

Grenander studied at Uppsala University and in 1950 received his doctorate at the University of Stockholm with Harald Cramér ( Stochastic Processes and Statistical interference). 1950/51 and 1954 to 1957 he was a lecturer at the University of Stockholm. 1951/52, he was Assistant Professor at the University of Chicago in 1953 and associate professor at the University of California. In 1957/58, he was professor at Brown University before he went back to 1966, 1959 to the University of Stockholm, where he became the successor of Professor Cramer. In 1966 he was again professor at Brown University, where he stayed until his retirement. At the same time, he was from 1969 to 1974 Professor of Applied Mathematics at the Royal Institute of Technology in Stockholm.

Initially he worked on probability theory, stochastic processes, time series analysis and mathematical statistics, where he introduced a sieve estimator. Later he turned to pattern recognition and artificial intelligence. His statistical theory (pattern theory ) to he pursued at Brown University since the early 1970s, she is pursued, for example, by David Mumford.

Applications that pursues his group are, for example, detecting anatomical pattern of computer tomography data of the brain, automatic target recognition, computer vision and natural language processing.

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Strategies of seeing ).

In 1994 he became an honorary doctorate from the University of Chicago and in 2005 the Royal Institute of Technology Stockholm. He is a member of the National Academy of Sciences and the Royal Swedish Academy of Sciences. He is an honorary member of the Royal Statistical Society and a Fellow of the Institute of Mathematical Statistics.

Writings

  • With Gabor Szego, Toeplitz forms and their applications. Chelsea 1958
  • A calculus of ideas: a mathematical study of human thought, World Scientific Publishing, 2012
  • With Michael Miller Pattern Theory: From Representation to Inference. Oxford University Press. 2007
  • General Pattern Theory. Oxford Science Publications. 1994
  • Elements of Pattern Theory. Johns Hopkins University Press.1996
  • Publisher Probability and Statistics: The Harald Cramér Volume. Wiley 1959
  • With Murray Rosenblatt: Statistical Analysis of Stationary Time Series, American Mathematical Society, 1984
  • A calculus of ideas: a mathematical study of human thought, World Scientific 2012
Applied mathematics
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