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Item Response Theory (IRT) is a powerful statistical approach for evaluating test items and determining test taker abilities through response analysis. An IRT model that better fits the data leads to more accurate latent trait estimates. In…

Machine Learning · Statistics 2024-10-03 Joakim Wallmark , Maria Josefsson , Marie Wiberg

Prompt Recovery, reconstructing prompts from the outputs of large language models (LLMs), has grown in importance as LLMs become ubiquitous. Most users access LLMs through APIs without internal model weights, relying only on outputs and…

Computation and Language · Computer Science 2025-04-08 Shenyang Liu , Yang Gao , Shaoyan Zhai , Liqiang Wang

Estimands using the treatment policy strategy for addressing intercurrent events are common in Phase III clinical trials. One estimation approach for this strategy is retrieved dropout whereby observed data following an intercurrent event…

We propose a class of Item Response Theory models for items with ordinal polytomous responses, which extends an existing class of multidimensional models for dichotomously-scored items measuring more than one latent trait. In the proposed…

Methodology · Statistics 2012-01-24 Silvia Bacci , Francesco Bartolucci , Michela Gnaldi

Evaluation of NLP methods requires testing against a previously vetted gold-standard test set and reporting standard metrics (accuracy/precision/recall/F1). The current assumption is that all items in a given test set are equal with regards…

Computation and Language · Computer Science 2016-09-26 John P. Lalor , Hao Wu , Hong Yu

While LLM-as-a-Judge is widely used in automated evaluation, existing validation practices primarily operate at the level of observed outputs, offering limited insight into whether LLM judges themselves function as stable and reliable…

Artificial Intelligence · Computer Science 2026-02-03 Junhyuk Choi , Sohhyung Park , Chanhee Cho , Hyeonchu Park , Bugeun Kim

Evaluating large language models (LLMs) on comprehensive benchmarks is a cornerstone of their development, yet it's often computationally and financially prohibitive. While Item Response Theory (IRT) offers a promising path toward…

Artificial Intelligence · Computer Science 2025-10-07 Lele Liao , Qile Zhang , Ruofan Wu , Guanhua Fang

Probabilistic inversion methods based on Markov chain Monte Carlo (MCMC) simulation are well suited to quantify parameter and model uncertainty of nonlinear inverse problems. Yet, application of such methods to CPU-intensive forward models…

Geophysics · Physics 2017-01-11 M. Rosas-Carbajal , N. Linde , T. Kalscheuer , J. A. Vrugt

Multivariate Item Response Theory (MIRT) is sought-after widely by applied researchers looking for interpretable (sparse) explanations underlying response patterns in questionnaire data. There is, however, an unmet demand for such sparsity…

Methodology · Statistics 2025-03-10 Jiguang Li , Robert Gibbons , Veronika Rockova

Despite the availability of benchmark machine learning (ML) repositories (e.g., UCI, OpenML), there is no standard evaluation strategy yet capable of pointing out which is the best set of datasets to serve as gold standard to test different…

Identifying important features linked to a response variable is a fundamental task in various scientific domains. This article explores statistical inference for simulated Markov random fields in high-dimensional settings. We introduce a…

Machine Learning · Statistics 2024-01-23 Haoyu Wei , Xiaoyu Lei , Yixin Han , Huiming Zhang

Unlike the commonly used parametric regression models such as mixed models, that can easily violate the required statistical assumptions and result in invalid statistical inference, target maximum likelihood estimation allows more realistic…

Applications · Statistics 2020-06-17 Chi Zhang , Jennifer Ahern , Mark J. van der Laan

Item Response Theory (IRT) is widely applied in the human sciences to model persons' responses on a set of items measuring one or more latent constructs. While several R packages have been developed that implement IRT models, they tend to…

Computation · Statistics 2020-02-04 Paul-Christian Bürkner

The purpose of this study is to provide a step-by-step demonstration of item recovery for the Multidimensional Graded Response Model (MGRM) in R. Within this scope, a sample simulation design was constructed where the test lengths were set…

Computers and Society · Computer Science 2024-12-25 Yesim Beril Soguksu , Ayse Bilicioglu Gunes , Hatice Gurdil

Prediction of item difficulty based on its text content is of substantial interest. In this paper, we focus on the related problem of recovering IRT-based difficulty when the data originally reported item p-value (percent correct…

Computation and Language · Computer Science 2026-04-01 Radhika Kapoor , Sang T. Truong , Nick Haber , Maria Araceli Ruiz-Primo , Benjamin W. Domingue

In this paper we introduce a method for resolving multi-parameter likelihoods by fixing all parameter values, but two. Evaluation of those two variables is followed by iteratively cycling through each of the parameters in turn until…

Instrumentation and Methods for Astrophysics · Physics 2025-09-10 Joel S. Jayson

Targeted Maximum Likelihood Estimation (TMLE) is increasingly used for doubly robust causal inference, but how missing data should be handled when using TMLE with data-adaptive approaches is unclear. Based on the Victorian Adolescent Health…

Computerized Adaptive Testing (CAT) has proven effective for efficient LLM evaluation on multiple-choice benchmarks, but modern LLM evaluation increasingly relies on generation tasks where outputs are scored continuously rather than marked…

Computation and Language · Computer Science 2026-01-21 Esma Balkır , Alice Pernthaller , Marco Basaldella , José Hernández-Orallo , Nigel Collier

Comprehensive evaluation of Large Language Models (LLMs) is an open research problem. Existing evaluations rely on deterministic point estimates generated via greedy decoding. However, we find that deterministic evaluations fail to capture…

Machine Learning · Computer Science 2025-03-04 Yan Scholten , Stephan Günnemann , Leo Schwinn

This article focuses on making discrete-time Adaptive Iterative Learning Control (ILC) more effective using multiple estimation models. Existing strategies use the tracking error to adjust the parametric estimates. Our strategy uses the…

Systems and Control · Electrical Eng. & Systems 2024-06-14 Ram Padmanabhan , Rajini Makam , Koshy George