Staff Scientist (12 months) in Non-Additive Measures and Time Scales

The Department of Computing Science is seeking a staff scientist to participate in research projects on non-additive measures and time scales. The position is full-time for 12 months, starting by agreement. 

The Department of Computing Science is characterized by world-leading research in a variety of scientific areas and is highly ranked in international comparisons. The department has grown rapidly in recent years, focusing on creating an inclusive research environment. Our employees represent a diversity of nationalities, backgrounds, and research areas. Read more at: 

https://www.umu.se/en/department-of-computing-science/ 

The position is full-time (100%) for 12 months and is funded by the Wallenberg AI, Autonomous Systems and Software Program (WASP). 

Project description and working tasks  

Non-additive measures are defined functions where the additivity condition is replaced by monotonicity with respect to set inclusion. An example of this type of measure is outer measures. These measures are also called capacities, fuzzy measures, and monotone games, and are used to represent interactions between elements. They have applications in mathematical economics, social choice, and computer science. 

The research group Nausica (led by Prof. Vicenç Torra) has extensive experience in the field and works with non-additive measures for both discrete and continuous domains. Our current research includes theoretical results on non-additive measures and integrals, numerical integration with non-additive measures, Radon-Nikodym-like derivatives, optimal transport problems, and distances for these measures (f-divergence-like and Wasserstein-like), probability distributions based on these measures. We have developed applications for decision modeling and data privacy as well as methods for measure identification. We are also interested in differential equations involving non-additive measures and time scale calculus. The group collaborates with several national and international research groups in these subjects (Japan, USA), and has active contacts with the private and public sectors. For more information, see: 

https://www.umu.se/en/research/groups/nausica-privacy-aware-transparent-decisions-group-/ 

The position is funded by The Wallenberg AI, Autonomous Systems and Software Program (WASP), which is Sweden’s largest individual research program. The program creates a platform for academic research and education in close collaboration with leading Swedish technology-intensive industry. WASP’s research includes artificial intelligence and autonomous systems that operate in collaboration with humans and adapt to their environment using sensors, information, and knowledge, creating intelligent systems of systems. WASP’s vision is excellent research and competence in artificial intelligence, autonomous systems, and software for the benefit of Swedish industry. Read more: https://wasp-sweden.org/ 

As a staff scientist, you will develop theory for non-additive measures on time scales (solution of integral and differential equations), including their application to distances. 

Qualifications  

• A doctoral degree or a foreign degree deemed equivalent in mathematics, statistics, computer science, or another subject relevant to the project. 
• Documented knowledge and proven research experience in at least one of the following areas: Non-additive measures and integrals, Time scales 
• A scientific and results-oriented approach to work. 
• Excellent knowledge of the English language, both spoken and written. 

Application  

A complete application should include: 

• A cover letter (max 2 pages) describing: 
  • Your research interests 
  • Why you are applying for the advertised position 
  • Summary of your qualifications and research interests 
  • Motivation for applying 
  • Connection between your previous research and the advertised position 
• Curriculum vitae (CV) with a list of publications 
• Certified copy of doctoral degree 
• Certified copies of other degree certificates, academic course certificates, and/or grades 
• Copy of your doctoral thesis and a maximum of 5 relevant articles 
• Other documents that the applicant wishes to refer to 
• Contact details for two referees 

The application should be written in English or Swedish. Applications are submitted through our electronic recruitment system. Documents submitted electronically should be in Word or PDF format. 

The application deadline is March 5, 2025. For further information, please contact Vicenç Torra, vtorra@cs.umu.se