Defining Operational Conditions for Safety-Critical AI-Based Systems from Data

Johann Christensen, Elena Hoemann, Frank Köster, Sven Hallerbach
1/29/2026
cs.AI

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Abstract

Artificial Intelligence (AI) has been on the rise in many domains, including numerous safety-critical applications. However, for complex systems found in the real world, or when data already exist, defining the underlying environmental conditions is extremely challenging. This often results in an incomplete description of the environment in which the AI-based system must operate. Nevertheless, this description, called the Operational Design Domain (ODD), is required in many domains for the certification of AI-based systems. Traditionally, the ODD is created in the early stages of the development process, drawing on sophisticated expert knowledge and related standards. This paper presents a novel Safety-by-Design method to a posteriori define the ODD from previously collected data using a multi-dimensional kernel-based representation. This approach is validated through both Monte Carlo methods and a real-world aviation use case for a future safety-critical collision-avoidance system. Moreover, by defining under what conditions two ODDs are equal, the paper shows that the data-driven ODD can equal the original, underlying hidden ODD of the data. Utilizing the novel, Safe-by-Design kernel-based ODD enables future certification of data-driven, safety-critical AI-based systems.

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@article{christensen2026defining,
  title  = {Defining Operational Conditions for Safety-Critical AI-Based Systems from Data},
  author = {Johann Christensen and Elena Hoemann and Frank Köster and Sven Hallerbach},
  year   = {2026},
  eprint = {2601.22118},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2601.22118v1}
}

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