https://www.dagstuhl.de/12391

September 23 – 28 , 2012, Dagstuhl Seminar 12391

Algorithms and Complexity for Continuous Problems

Organizers

Alexander Keller (NVIDIA GmbH – Berlin, DE)
Frances Y. Kuo (UNSW – Sydney, AU)
Andreas Neuenkirch (Universität Mannheim, DE)
Joseph F. Traub (Columbia University – New York, US)

For support, please contact

Dagstuhl Service Team

Documents

Dagstuhl Report, Volume 2, Issue 9 Dagstuhl Report
List of Participants
Shared Documents
Dagstuhl's Impact: Documents available
Dagstuhl Seminar Schedule [pdf]

Summary

This was already the 11th Dagstuhl Seminar on Algorithms and Complexity for Continuous Problems over a period of 21 years. It brought together researchers from different communities working on computational aspects of continuous problems, including computer scientists, numerical analysts, applied and pure mathematicians. Although the seminar title has remained the same many of the topics and participants change with each seminar and each seminar in this series is of a very interdisciplinary nature.

Continuous computational problems arise in diverse areas of science and engineering. Examples include path and multivariate integration, approximation, optimization, as well as operator equations. Typically, only partial and/or noisy information is available, and the aim is to solve the problem within a given error tolerance using the minimal amount of computational resources. For example, in high-dimensional integration one wants to compute an varepsilon-approximation to the integral with the minimal number of function evaluations. Here it is crucial to identify first the relevant variables of the function. Understanding the complexity of such problems and construction of efficient algorithms is both important and challenging.

The current seminar attracted 51 participants from more than 10 different countries all over the world. About 30% of them were young researchers including PhD students. There were 40 presentations covering in particular the following topics:

  • Biomedical learning problems
  • Random media
  • Computational finance
  • Noisy data
  • Tractability
  • Quantum computation
  • Computational stochastic processes
  • High-dimensional problems

The work of the attendants was supported by a variety of funding agencies. This includes the Deutsche Forschungsgemeinschaft, the Austrian Science Fund, the National Science Foundation (USA), and the Australian Research Council. Many of the attendants from Germany were supported within the DFG priority program SPP 1324 on "Extraction of Quantifiable Information from Complex Systems", which is strongly connected to the topics of the seminar.

As always, the excellent working conditions and friendly atmosphere provided by the Dagstuhl team have led to a rich exchange of ideas as well as a number of new collaborations. Selected papers related to this seminar will be published in a special issue of the Journal of Complexity.

Dagstuhl Seminar Series

Classification

  • Data Structures/Algorithms/Complexity

Keywords

  • Biomedical learning problems
  • Random media
  • Computational finance
  • Noisy data
  • Tractability
  • Quantum computation
  • Computational stochastic processes
  • High-dimensional problems

Documentation

In the series Dagstuhl Reports each Dagstuhl Seminar and Dagstuhl Perspectives Workshop is documented. The seminar organizers, in cooperation with the collector, prepare a report that includes contributions from the participants' talks together with a summary of the seminar.

 

Download overview leaflet (PDF).

Publications

Furthermore, a comprehensive peer-reviewed collection of research papers can be published in the series Dagstuhl Follow-Ups.

Dagstuhl's Impact

Please inform us when a publication was published as a result from your seminar. These publications are listed in the category Dagstuhl's Impact and are presented on a special shelf on the ground floor of the library.