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Given only aggregate choice data and limited information about how menus are distributed across the population, we describe what can be inferred robustly about the distribution of preferences (or more general decision rules). We strengthen…

Theoretical Economics · Economics 2024-05-16 Larry G Epstein , Kaushil Patel

Background: Any sample of individuals has its own, unique distribution of preferences for choices that they make. Discrete choice models try to capture these distributions. Mixed logits are by far the most commonly used choice model in…

Econometrics · Economics 2025-06-18 John Buckell , Alice Wreford , Matthew Quaife , Thomas O. Hancock

Motivated by an application of eliciting users' preferences, we investigate the problem of learning hemimetrics, i.e., pairwise distances among a set of $n$ items that satisfy triangle inequalities and non-negativity constraints. In our…

Machine Learning · Statistics 2016-05-30 Adish Singla , Sebastian Tschiatschek , Andreas Krause

This study intends to introduce kernel mean embedding of probability measures over infinite-dimensional separable Hilbert spaces induced by functional response statistical models. The embedded function represents the concentration of…

Statistics Theory · Mathematics 2020-11-05 Saeed Hayati , Kenji Fukumizu , Afshin Parvardeh

We provide a generalized revealed preference test for quasilinear preferences. The test applies to nonlinear budget sets and non-convex preferences as those found in taxation and nonlinear pricing contexts. We study the prevalence of…

General Economics · Economics 2025-03-19 Mikhail Freer , Marco Castillo

Trustworthy classifiers are essential to the adoption of machine learning predictions in many real-world settings. The predicted probability of possible outcomes can inform high-stakes decision making, particularly when assessing the…

Machine Learning · Computer Science 2023-02-22 Kiri L. Wagstaff , Thomas G. Dietterich

The evaluation of large language models faces significant challenges. Technical benchmarks often lack real-world relevance, while existing human preference evaluations suffer from unrepresentative sampling, superficial assessment depth, and…

Computation and Language · Computer Science 2026-03-06 Nora Petrova , Andrew Gordon , Enzo Blindow

In routine care, individuals identified a priori as high-risk are usually tested for conditions more frequently. Protected attributes, such as sex or ethnicity may also determine testing frequency. Such heterogeneous detection rates across…

Applications · Statistics 2026-05-08 Jose Benitez-Aurioles , Ricardo Silva , Brian McMillan , Matthew Sperrin

When ranking big data observations such as colleges in the United States, diverse consumers reveal heterogeneous preferences. The objective of this paper is to sort out a linear ordering for these observations and to recommend strategies to…

Machine Learning · Statistics 2020-03-30 Xingwei Hu

Recent cross-domain recommendation (CDR) studies assume that disentangled domain-shared and domain-specific user representations can mitigate domain gaps and facilitate effective knowledge transfer. However, achieving perfect…

Information Retrieval · Computer Science 2024-11-27 Jing Du , Zesheng Ye , Bin Guo , Zhiwen Yu , Jia Wu , Jian Yang , Michael Sheng , Lina Yao

We propose a novel parameterized family of Mixed Membership Mallows Models (M4) to account for variability in pairwise comparisons generated by a heterogeneous population of noisy and inconsistent users. M4 models individual preferences as…

Machine Learning · Computer Science 2015-04-06 Weicong Ding , Prakash Ishwar , Venkatesh Saligrama

Opinion surveys can contain closed questions to which respondents can give multiple answers. We propose to model these data as networks in which vertices are eligible items and arcs are respondents. This representation opens up the…

Physics and Society · Physics 2022-06-28 Stefano Benati , Justo Puerto

The statistical modelling of ranking data has a long history and encompasses various perspectives on how observed rankings arise. One of the most common models, the Plackett-Luce model, is frequently used to aggregate rankings from multiple…

Methodology · Statistics 2025-07-02 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

As an intrinsic and fundamental property of big data, data heterogeneity exists in a variety of real-world applications, such as precision medicine, autonomous driving, financial applications, etc. For machine learning algorithms, the…

Machine Learning · Computer Science 2023-04-04 Jiashuo Liu , Jiayun Wu , Bo Li , Peng Cui

Recovering and distinguishing between the strict-preference, indifference and/or indecisiveness parts of a decision maker's preferences is a challenging task but also important for testing theory and conducting welfare analysis. This paper…

Theoretical Economics · Economics 2025-09-15 Georgios Gerasimou

The assumption of group heterogeneity has become popular in panel data models. We develop a constrained Bayesian grouped estimator that exploits researchers' prior beliefs on groups in a form of pairwise constraints, indicating whether a…

Econometrics · Economics 2023-10-31 Boyuan Zhang

In modern data analysis, nonparametric measures of discrepancies between random variables are particularly important. The subject is well-studied in the frequentist literature, while the development in the Bayesian setting is limited where…

Methodology · Statistics 2022-01-25 Qinyi Zhang , Veit Wild , Sarah Filippi , Seth Flaxman , Dino Sejdinovic

We analyze the structure of the disagreement among a population of voters over a set of alternatives. Surveys typically ask either for pairwise comparisons, simple and intuitive for participants, or full rankings over alternatives,…

Artificial Intelligence · Computer Science 2026-05-20 Mohamed Ouaguenouni , Felipe Garrido-Lucero , Umberto Grandi , César Hidalgo , Magdalena Tydrichova

Language model families exhibit striking disparity in their capacity to benefit from reinforcement learning: under identical training, models like Qwen achieve substantial gains, while others like Llama yield limited improvements.…

Computation and Language · Computer Science 2026-01-13 Shaoning Sun , Mingzhu Cai , Huang He , Bingjin Chen , Siqi Bao , Yujiu Yang , Hua Wu , Haifeng Wang

We introduce a novel choice dataset, called joint choice, in which options and menus are multidimensional. In this general setting, we define a notion of choice separability, which requires that selections from some dimensions are never…

Theoretical Economics · Economics 2025-09-09 Davide Carpentiere , Alfio Giarlotta , Angelo Petralia , Ester Sudano