Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cognitive Diagnosis with Explicit Student Vector Estimation and
  Unsupervised Question Matrix Learning   Cognitive diagnosis is an essential task in many educational applications.
Many solutions have been designed in the literature. The deterministic input,
noisy "and" gate (DINA) model is a classical cognitive diagnosis model and can
provide interpretable cognitive parameters, e.g., student vectors. However, the
assumption of the probabilistic part of DINA is too strong, because it assumes
that the slip and guess rates of questions are student-independent. Besides,
the question matrix (i.e., Q-matrix) recording the skill distribution of the
questions in the cognitive diagnosis domain often requires precise labels given
by domain experts. Thus, we propose an explicit student vector estimation
(ESVE) method to estimate the student vectors of DINA with a local
self-consistent test, which does not rely on any assumptions for the
probabilistic part of DINA. Then, based on the estimated student vectors, the
probabilistic part of DINA can be modified to a student dependent model that
the slip and guess rates are related to student vectors. Furthermore, we
propose an unsupervised method called heuristic bidirectional calibration
algorithm (HBCA) to label the Q-matrix automatically, which connects the
question difficulty relation and the answer results for initialization and uses
the fault tolerance of ESVE-DINA for calibration. The experimental results on
two real-world datasets show that ESVE-DINA outperforms the DINA model on
accuracy and that the Q-matrix labeled automatically by HBCA can achieve
performance comparable to that obtained with the manually labeled Q-matrix when
using the same model structure.

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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph