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Next generation algorithms for grabbing and exploiting symmetry

Objective

Symmetry is a phenomenon that appears in many different contexts.
Algorithmic symmetry detection and exploitation is the concept of finding intrinsic symmetries of a given object and then using these symmetries to our advantage. Application areas of algorithmic symmetry detection and exploitation range from convolutional neural networks in machine learning to computer graphics, chemical data bases and beyond.
In contrast to this widespread use, our understanding of the theoretical foundation (namely the graph isomorphism problem) is incomplete and current algorithmic symmetry tools are inadequate for big data applications. Hence, EngageS addresses these key challenges in the field using a systematic approach to the theory and practice of symmetry detection. It thereby also fixes the existing lack of interplay between theory and practice, which is part of the problem.

EngageS' main aims are to tackle the classical and descriptive complexity of the graph isomorphism problem and to design the next generation of symmetry detection algorithms. As key ideas to resolve the complexity, EngageS offers three new approaches on how to prove lower bounds and a new method to settle the descriptive complexity.

EngageS will also develop practical symmetry detection algorithms for big data, exploiting parallelism and memory hierarchies of modern machines, and will introduce the concept of and a road map to exploiting absence of symmetry. Overall EngageS will establish a comprehensive software library that will serve as a platform for integrated research on the algorithmic treatment of symmetry.

In summary, EngageS will develop fast, efficient and accessible symmetry detection tools that will be used to solve complex algorithmic problems in a range of fields including combinatorial algorithms, generation problems, and canonization.

Field of science

  • /natural sciences/computer and information sciences/artificial intelligence/computational intelligence
  • /natural sciences/computer and information sciences/data science/big data
  • /natural sciences/computer and information sciences/artificial intelligence/machine learning

Call for proposal

ERC-2018-COG
See other projects for this call

Funding Scheme

ERC-COG - Consolidator Grant

Host institution

TECHNISCHE UNIVERSITAT KAISERSLAUTERN
Address
Gottlieb Daimler Strasse
67663 Kaiserslautern
Germany
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 999 094

Beneficiaries (1)

TECHNISCHE UNIVERSITAT KAISERSLAUTERN
Germany
EU contribution
€ 1 999 094
Address
Gottlieb Daimler Strasse
67663 Kaiserslautern
Activity type
Higher or Secondary Education Establishments