Mixability and the Existence of Weak Complexities

  • Authors:
  • Yuri Kalnishkan;Michael V. Vyugin

  • Affiliations:
  • -;-

  • Venue:
  • COLT '02 Proceedings of the 15th Annual Conference on Computational Learning Theory
  • Year:
  • 2002

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Abstract

This paper investigates the behaviour of the constant c(脽) from the Aggregating Algorithm. Some conditions for mixability are derived and it is shown that for many non-mixable games c(脽) still converges to 1. The condition c(脽) 驴 1 is shown to imply the existence of weak predictive complexity and it is proved that many games specify complexity up to 驴n.