CUMULATE asymptotic knowledge assessment

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Asymptotic knowledge assessment is CUMULATE's legacy user modeling algorithm for computing user knowledge with respect to problem-solving.

Computation

CUMULATE asymptotic knowledge assessment.png, where

  • Ko - is the starting level of knowledge (here we always stark from 0)
  • res - result of user action (0 -error, 1 - correct); we only update knowledge levels upon correct user actions and do not penalize errors

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