Concept

Student Ability and Difficulty Networks (Deep-IRT: Make Deep Learning Based Knowledge Tracing Explainable Using Item Response Theory)

The intuition behind this network is that the ftf_t can be used to infer the student ability on qtq_t by further processing ftf_t using network and the difficulty level of qtq_t can be measured by passing ktk_t to network. This two networks can be expressed as: θtj=tanh(Wθft+bθ) \theta_{tj} = tanh (W_{\theta}f_t + b_{\theta})- student ability

βj=tanh(Wβqt+bβ)\beta_j = tanh (W_{\beta}q_t + b_{\beta}) - difficulty level

Then these two values are passed to IRT model to calculate the probability that student will answer knowledge component correctly:

pt=σ(3.0θtjβj)p_t = \sigma (3.0 * \theta_{tj} - \beta_j)

Both of these networks can applied to any types of neural networks.

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Updated 2020-11-17

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Data Science