Evidence
Same model and position · retrieved passages supplied · first output
Identifiability is a prerequisite for valid parameter estimation and statistical inference in cognitive diagnosis models, yet existing results have largely been established for binary response models and do not adequately address CDMs with polytomous responses. Extending identifiability conditions to such models therefore remains an important direction for future work.
Passages supplied to the Evidence version
Card 1 · Sufficient and Necessary Conditions for the Identifiability of DINA Models with Polytomous Responses
Cognitive diagnosis models (CDMs) provide a powerful statistical and psychometric tool for researchers and practitioners to learn fine-grained diagnostic information about respondents' latent attributes. There has been a growing interest in the use of CDMs for polytomous response data, as more and m…
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Cognitive diagnosis models (CDMs) provide a powerful statistical and psychometric tool for researchers and practitioners to learn fine-grained diagnostic information about respondents' latent attributes. There has been a growing interest in the use of CDMs for polytomous response data, as more and more items with multiple response options become widely used. Similar to many latent variable models, the identifiability of CDMs is critical for accurate parameter estimation and valid statistical inference. However, the existing identifiability results are primarily focused on binary response models and have not adequately addressed the identifiability of CDMs with polytomous responses. This paper addresses this gap by presenting sufficient and necessary conditions for the identifiability of the widely used DINA model with polytomous responses, with the aim to provide a comprehensive understanding of the identifiability of CDMs with polytomous responses and to inform future research in this …
Card 2 · Towards the Identifiability and Explainability for Personalized Learner Modeling: An Inductive Paradigm
Personalized learner modeling using cognitive diagnosis (CD), which aims to model learners' cognitive states by diagnosing learner traits from behavioral data, is a fundamental yet significant task in many web learning services. Existing cognitive diagnosis models (CDMs) follow the proficiency-respo…
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Personalized learner modeling using cognitive diagnosis (CD), which aims to model learners' cognitive states by diagnosing learner traits from behavioral data, is a fundamental yet significant task in many web learning services. Existing cognitive diagnosis models (CDMs) follow the proficiency-response paradigm that views learner traits and question parameters as trainable embeddings and learns them through learner performance prediction. However, we notice that this paradigm leads to the inevitable non-identifiability and explainability overfitting problem, which is harmful to the quantification of learners' cognitive states and the quality of web learning services. To address these problems, we propose an identifiable cognitive diagnosis framework (ID-CDF) based on a novel response-proficiency-response paradigm inspired by encoder-decoder models. Specifically, we first devise the diagnostic module of ID-CDF, which leverages inductive learning to eliminate randomness in optimization t …
Card 3 · Parameter estimation and uncertainty quantification using information geometry
In this work we: (1) review likelihood-based inference for parameter estimation and the construction of confidence regions; and, (2) explore the use of techniques from information geometry, including geodesic curves and Riemann scalar curvature, to supplement typical techniques for uncertainty quant…
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In this work we: (1) review likelihood-based inference for parameter estimation and the construction of confidence regions; and, (2) explore the use of techniques from information geometry, including geodesic curves and Riemann scalar curvature, to supplement typical techniques for uncertainty quantification such as Bayesian methods, profile likelihood, asymptotic analysis and bootstrapping. These techniques from information geometry provide data-independent insights into uncertainty and identifiability, and can be used to inform data collection decisions. All code used in this work to implement the inference and information geometry techniques is available on GitHub.
Model-reported card use
Card 1 · fact
Affected output: Identifiability is a prerequisite for valid parameter estimation and statistical inference in cognitive diagnosis models, yet existing results have largely been established for binary response models and do not adequately address CDMs with polytomous responses.
Model explanation: The row supplied the concrete premise that identifiability matters for parameter estimation and inference and that existing results are limited to binary responses, which the conclusion paragraph had not yet stated.
Card 2 · scope
Affected output: Extending identifiability conditions to such models therefore remains an important direction for future work.
Model explanation: This row reinforced that non-identifiability is treated as an unresolved problem in the field, supporting the framing of identifiability extension as an open direction rather than a settled issue.