Quantifying Algorithmic Improvements over Time

Lars Kotthoff, Alexandre Fréchette, Tomasz Michalak, Talal Rahwan, Holger H. Hoos, Kevin Leyton-Brown

Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence

Evolution of the contours of AI. Pages 5165-5171.

https://doi.org/10.24963/ijcai.2018/716

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Abstract

Assessing the progress made in AI and contributions to the state of the art is of major concern to

the community. Recently, Frechette et al. [2016]

advocated performing such analysis via the Shapley

value, a concept from coalitional game theory. In

this paper, we argue that while this general idea is

sound, it unfairly penalizes older algorithms that

advanced the state of the art when introduced, but

were then outperformed by modern counterparts.

Driven by this observation, we introduce the temporal Shapley value, a measure that addresses this

problem while maintaining the desirable properties

of the (classical) Shapley value. We use the tempo-

ral Shapley value to analyze the progress made in

(i) the different versions of the Quicksort algorithm;

(ii) the annual SAT competitions 2007–2014; (iii)

an annual competition of Constraint Programming,

namely the MiniZinc challenge 2014–2016. Our

analysis reveals novel insights into the development

made in these important areas of research over time.

Keywords

  • Heuristic Search and Game Playing: Evaluation and Analysis
  • Heuristic Search and Game Playing: Meta-Reasoning and Meta-heuristics
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