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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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48 results for item response analysis

Paper introduces a new estimator for Rasch model with exact error analysis.

problem Estimating parameters of the Rasch model with performance guarantees.
method Develops a novel L-MMSE estimator for the Rasch model with nonasymptotic analysis.
result The L-MMSE estimator provides exact error analysis and performs similarly to state-of-the-art estimators.

Item response theory (IRT) models for categorical response data are widely used in the analysis of educational data, computerized adaptive testing, and psychological surveys. However, most IRT models rely on both the assumption that categories are strictly ordered and the assumption that this ordering is known a priori…

2015-01-12abs ↗pdf ↗

We propose a new IRT model that directly factors test items without factor analysis.

problem Existing multidimensional IRT methods require factorization, which is posthoc and linear.
method We use a sparsity-promoting horseshoe prior to factorize items directly within the IRT model.
result Our model performs factorization directly and consistently selects the correct number of factors.

New β3β^3-IRT model improves test performance and assesses classifier quality.

problem Improving test performance and assessing classifier quality.
method Proposes β3β^3-IRT model to model continuous responses and assess latent abilities.
result The β3β^3-IRT model outperforms standard models on various datasets and provides a new metric for classifier evaluation.

New method extracts latent variables from process data using autoencoders.

problem Extracting useful information from diverse, noisy, and nonstandard response processes.
method Sequence-to-sequence autoencoder to compress response processes into standard numerical vectors.
result The latent variables extracted from response processes are useful for understanding complex skills.

Researchers study how teachers' advising relationships influence their perceptions of satisfaction and students, not policy influence.

problem Understanding the relationship between teachers' advising relationships and their perceptions of satisfaction and students.
method Proposed a novel joint model of network and item responses (JNIRM) with correlated latent variables.
result Teachers' advising relationships contribute more to satisfaction and students than to influence over educational policies.

New estimators improve Rasch model item parameter estimation for sparse data.

problem Estimating item parameters in sparse Rasch model data.
method Random pairing maximum likelihood estimator (RP-MLE) and its bootstrapped variant (MRP-MLE).
result RP-MLE and MRP-MLE are minimax optimal and provide precise item parameter estimates.

FedIRT enables privacy-preserving psychometric estimation without centralizing data.

problem Privacy and data governance concerns in centralized IRT estimation.
method Federated Item Response Theory (FedIRT) and FedIRT-DP for differentially private estimation.
result FedIRT matches accuracy of centralized estimators while preserving privacy.

Proposes β4β^{4}-IRT, a new IRT model with enhanced discrimination estimation.

problem Symmetry problem in β3β^3-IRT causing incorrect discrimination values.
method Gradient descent method, link functions, and new parameters for discrimination.
result Improved parameter recovery in experiments compared to β3β^3-IRT.

GPIRT uses Gaussian processes to estimate latent traits and IRFs from binary responses.

problem Nonparametric IRT models struggle to estimate flexible IRFs and latent traits simultaneously.
method GPIRT employs Gaussian process priors to relax IRF assumptions while estimating latent traits.
result GPIRT provides a flexible solution to IRT challenges, including active learning.

A new dataset tracks user interactions and click responses in online marketplaces.

problem Lack of exposure data in recommender systems datasets.
method Proposes a novel dataset including slates and click responses, allowing more accurate likelihood models.
result Models using exposure data show more natural likelihood, reducing bias towards previously exposed items.

Deep-IRT combines deep learning and IRT for explainable knowledge tracing.

problem Lack of explainability in deep learning-based knowledge tracing models.
method Synthesis of DKVMN and IRT models to estimate student and item parameters.
result Deep-IRT retains DKVMN performance while providing psychological interpretations.

The paper presents a machine learning approach to multidimensional item response theory.

problem Modeling and predicting student performance from assessment data.
method Inspired by collaborative filtering, the paper defines a general class of models using penalized joint maximum likelihood (JML) for estimation and cross-validation for model selection.
result The high-dimensional model fit to large and sparse data does not lend itself well to traditional factor interpretation.

Ensemble unsupervised anomaly detection using IRT for hidden ground truth.

problem Challenges in constructing an ensemble from unsupervised anomaly detection methods.
method Use Item Response Theory to compute latent traits and construct an ensemble that downplays noisy methods.
result Demonstrated effectiveness of IRT ensemble on extensive data repository.

Proposes an IRT-based ensemble method to improve machine learning accuracy.

problem Improving the accuracy of machine learning models, especially for hard-to-classify instances.
method Introduces Item Response Theory (IRT) to evaluate sample difficulty and classifier ability, creating three models with different assumptions.
result The proposed IRT ensemble model outperforms other methods on 19 datasets.

LaRT models LLMs' response accuracy and CoT length to evaluate reasoning ability and speed.

problem Valid evaluation of Large Language Models (LLMs) via response accuracy and chain-of-thought length.
method Introduces Latency-Response Theory (LaRT) to jointly model response accuracy and CoT length using latent ability and latent speed.
result LaRT yields higher estimation accuracy and shorter confidence intervals for latent traits compared to IRT.

Improved IFA with Generative Adversarial Networks for high-dimensional latent variables.

problem Limited expressiveness of traditional VAEs in high-dimensional latent variable modeling.
method Introducing Adversarial Variational Bayes (AVB) and Importance-weighted Adversarial Variational Bayes (IWAVB) algorithms.
result IWAVB demonstrated superior expressiveness and higher likelihood compared to IWAE.

A new framework evaluates large language models efficiently and accurately.

problem Evaluation of large language models is challenging due to stochasticity and heterogeneity of benchmarks.
method Interpretable and scalable framework based on Item Response Theory (IRT) and majorization-minimization principle.
result Our method achieves superior scalability and interpretability compared to existing approaches.

The recently proposed SPARse Factor Analysis (SPARFA) framework for personalized learning performs factor analysis on ordinal or binary-valued (e.g., correct/incorrect) graded learner responses to questions. The underlying factors are termed "concepts" (or knowledge components) and are used for learning analytics (LA),…

2014-12-18abs ↗pdf ↗

The paper examines skill estimation and variance under model misspecification in IRT.

problem Underestimation and overestimation of skills when non-compensatory model is misspecified as compensatory.
method Theoretical approach to analyze underestimation and overestimation of skills and variance.
result Overestimation of skills occurs around the origin and asymptotic variance differs under model misspecification.

DynAEsti models ability as a time-varying curve, improving IRT for dynamic settings.

problem Traditional IRT models assume static ability; new approach models dynamic ability.
method DynAEsti augments traditional IRT Expectation Maximization with CurvFiFE for curve fitting.
result DynAEsti successfully recovers human performance dynamics in golf.

An efficient algorithm selects the correct number of latent dimensions in multidimensional probit models.

problem Determining the correct number of latent dimensions in multidimensional probit graded response models.
method Adaptive Bayesian dimension selection framework using cumulative ordered spike-and-slab (COSS) prior and Albert--Chib latent response augmentation.
result The proposed method accurately recovers latent structures and avoids repeated model fitting.

Bayesian method improves adaptive testing item selection, ensuring full item exposure.

problem Adaptive testing selects items to estimate ability, but must also ensure diverse item exposure.
method Formulated as Bayesian model averaging, deriving optimal item sampling probabilities.
result Stochastic method achieves full item bank exposure without sacrificing accuracy.

Previous work on recommender systems mainly focus on fitting the ratings provided by users. However, the response patterns, i.e., some items are rated while others not, are generally ignored. We argue that failing to observe such response patterns can lead to biased parameter estimation and sub-optimal model performanc…

2012-10-16abs ↗pdf ↗

We consider the predictive problem of supervised ranking, where the task is to rank sets of candidate items returned in response to queries. Although there exist statistical procedures that come with guarantees of consistency in this setting, these procedures require that individuals provide a complete ranking of all i…

2012-04-07abs ↗pdf ↗

New model for multi-layer categorical data improves latent class analysis.

problem Traditional latent class analysis for single-layer categorical data is insufficient for multi-layer data.
method Developed a multi-layer latent class model (multi-layer LCM) and three spectral methods for estimation.
result The debiased sum of Gram matrices method performs best in estimating latent classes.

Paper uses nearest neighbor method to predict exam success based on online test trends.

problem Predicting student success/failure in final exams.
method Applied nearest neighbor method to estimate student learning skill from online test trends.
result Improved prediction accuracy for exam success/failure.