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Learning to Rank (LTR) methods are vital in online economies, affecting users and item providers. Fairness in LTR models is crucial to allocate exposure proportionally to item relevance. Widely used deterministic LTR models can lead to…

Machine Learning · Computer Science 2024-05-21 Ruocheng Guo , Jean-François Ton , Yang Liu , Hang Li

Using instruments comprising ordered responses to items are ubiquitous for studying many constructs of interest. However, using such an item response format may lead to items with response categories infrequently endorsed or unendorsed…

Methodology · Statistics 2024-05-02 R. Noah Padgett , Grant B. Morgan , Tim Lomas

Item parameter estimation in pharmacometric item response theory (IRT) models is predominantly performed using the Laplace estimation algorithm as implemented in NONMEM. In psychometrics a wide range of different software tools, including…

Methodology · Statistics 2025-03-18 Leticia Arrington , Sebastian Ueckert

We consider an input-to-response (ItR) system characterized by (1) parameterized input with a known probability distribution and (2) stochastic ItR function with heteroscedastic randomness. Our purpose is to efficiently quantify the extreme…

Methodology · Statistics 2022-05-18 Xianliang Gong , Yulin Pan

We introduce an Integrative Ranking and Thresholding (IRT) framework for fusing evidence from multiple testing procedures. The key innovation is a method that transforms binary testing decisions into compound $e-$values, enabling the…

Methodology · Statistics 2025-09-04 Trambak Banerjee , Bowen Gang , Jianliang He

Research on the test structure of the Force Concept Inventory (FCI) has largely been performed with exploratory methods such as factor analysis and cluster analysis. Multi-Dimensional Item Response Theory (MIRT) provides an alternative to…

Physics Education · Physics 2018-06-20 John Stewart , Cabot Zabriskie , Seth DeVore , Gay Stewart

Learning from implicit feedback is challenging because of the difficult nature of the one-class problem: we can observe only positive examples. Most conventional methods use a pairwise ranking approach and negative samplers to cope with the…

Machine Learning · Computer Science 2021-05-12 Riku Togashi , Masahiro Kato , Mayu Otani , Tetsuya Sakai , Shin'ichi Satoh

Dynamic Item Response Models extend the standard Item Response Theory (IRT) to capture temporal dynamics in learner ability. While these models have the potential to allow instructional systems to actively monitor the evolution of learner…

Machine Learning · Computer Science 2023-11-16 Yunsung Kim , Sreechan Sankaranarayanan , Chris Piech , Candace Thille

One of the largest drivers of social inequality is unequal access to personal tutoring, with wealthier individuals able to afford it, while the majority cannot. Affordable, effective AI tutors offer a scalable solution. We focus on adaptive…

Artificial Intelligence · Computer Science 2025-10-01 Tom Quilter , Anastasia Ilick , Karen Poon , Richard Turner

Item response theory (IRT) models typically rely on a normality assumption for subject-specific latent traits, which is often unrealistic in practice. Semiparametric extensions based on Dirichlet process mixtures offer a more flexible…

In this paper, we apply Vuong's (1989) general approach of model selection to the comparison of nested and non-nested unidimensional and multidimensional item response theory (IRT) models. Vuong's approach of model selection is useful…

Applications · Statistics 2019-09-20 Lennart Schneider , R. Philip Chalmers , Rudolf Debelak , Edgar C. Merkle

We develop a Bayesian "sum-of-trees" model where each tree is constrained by a regularization prior to be a weak learner, and fitting and inference are accomplished via an iterative Bayesian backfitting MCMC algorithm that generates samples…

Methodology · Statistics 2010-10-08 Hugh A. Chipman , Edward I. George , Robert E. McCulloch

Assessment of proficiency of the learner is an essential part of Intelligent Tutoring Systems (ITS). We use Item Response Theory (IRT) in computer-aided language learning for assessment of student ability in two contexts: in test sessions,…

Artificial Intelligence · Computer Science 2024-09-25 Jue Hou , Anisia Katinskaia , Anh-Duc Vu , Roman Yangarber

Analyses of heterogeneous treatment effects (HTE) are common in applied causal inference research. However, when outcomes are latent variables assessed via psychometric instruments such as educational tests, standard methods ignore the…

We study the problem of ranking a set of items from nonactively chosen pairwise preferences where each item has feature information with it. We propose and characterize a very broad class of preference matrices giving rise to the Feature…

Machine Learning · Computer Science 2017-02-10 U. N. Niranjan , Arun Rajkumar

Inverse reinforcement learning (IRL) is an imitation learning approach to learning reward functions from expert demonstrations. Its use avoids the difficult and tedious procedure of manual reward specification while retaining the…

Machine Learning · Computer Science 2024-03-25 Daulet Baimukashev , Gokhan Alcan , Ville Kyrki

In recent years, XAI researchers have been formalizing proposals and developing new methods to explain black box models, with no general consensus in the community on which method to use to explain these models, with this choice being…

Machine Learning · Computer Science 2024-07-04 José Ribeiro , Lucas Cardoso , Raíssa Silva , Vitor Cirilo , Níkolas Carneiro , Ronnie Alves

Item difficulty plays a crucial role in test performance, interpretability of scores, and equity for all test-takers, especially in large-scale assessments. Traditional approaches to item difficulty modeling rely on field testing and…

Computation and Language · Computer Science 2025-09-30 Sydney Peters , Nan Zhang , Hong Jiao , Ming Li , Tianyi Zhou , Robert Lissitz

We introduce inference trees (ITs), a new class of inference methods that build on ideas from Monte Carlo tree search to perform adaptive sampling in a manner that balances exploration with exploitation, ensures consistency, and alleviates…

Individualized treatment rules (ITR) can improve health outcomes by recognizing that patients may respond differently to treatment and assigning therapy with the most desirable predicted outcome for each individual. Flexible and efficient…

Methodology · Statistics 2017-09-25 Brent R. Logan , Rodney Sparapani , Robert E. McCulloch , Purushottam W. Laud