Blog
About

  • Record: found
  • Abstract: found
  • Article: found
Is Open Access

A note on the complexity of the causal ordering problem

Preprint

Read this article at

Bookmark
      There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

      Abstract

      In this paper we provide a concise report on the complexity of the causal ordering problem, originally introduced by Simon to reason about causal relations implicit in mathematical models. We show that Simon's classical algorithm to infer causal ordering is NP-Hard---an intractability previously guessed by Nayak but not yet proven. We present then a detailed account based on Nayak's suggested algorithmic solution (the best available), which is dominated by computing transitive closure---bounded in time by \(O(|\mathcal S|^3)\), where \(\mathcal S(\mathcal E, \mathcal V)\) is the input system structure composed of a set \(\mathcal E\) of equations over a set \(\mathcal V\) of variables with density \(|\mathcal S|\). We also comment on the potential of causal ordering for emerging applications in large-scale hypothesis management and predictive analytics.

      Related collections

      Author and article information

      Journal
      1508.05804

      Artificial intelligence

      Comments

      Comment on this article