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The stochastic variational inequality problem (SVIP) is an equilibrium model that includes random variables and has been widely applied in various fields such as economics and engineering. Expected residual minimization (ERM) is an…

Optimization and Control · Mathematics 2023-01-25 Atsushi Hori , Yuya Yamakawa , Nobuo Yamashita

The random utility model (RUM, McFadden and Richter, 1990) has been the standard tool to describe the behavior of a population of decision makers. RUM assumes that decision makers behave as if they maximize a rational preference over a…

General Economics · Economics 2022-07-05 Victor H. Aguiar , Maria Jose Boccardi , Nail Kashaev , Jeongbin Kim

The Random Utility Model (RUM) is the leading model to represent the aggregate choices of a heterogeneous population of preference maximizers. We show that if (and only if) preferences are sufficiently uncorrelated, RUM choices can also be…

Theoretical Economics · Economics 2025-05-29 Daniele Caliari , Henrik Petri

Stated choice probabilities are increasingly used in conjunction with the random-coefficient model (RCM) to describe individual preferences. They allow survey respondents to express uncertainty about the future or the incompleteness of a…

General Economics · Economics 2025-03-19 Romuald Meango

We study random utility (RU) rationality with aggregation when the underlying alternatives in each aggregate vary across consumers and are unobserved, as is typical for an outside option. RUM over the underlying alternatives is the natural…

Theoretical Economics · Economics 2026-03-10 Yuexin Liao , Kota Saito , Alec Sandroni

This paper introduces the distributionally robust random utility model (DRO-RUM), which allows the preference shock (unobserved heterogeneity) distribution to be misspecified or unknown. We make three contributions using tools from the…

Theoretical Economics · Economics 2023-03-13 David Müller , Emerson Melo , Ruben Schlotter

Semi-implicit variational inference (SIVI) enriches the expressiveness of variational families by utilizing a kernel and a mixing distribution to hierarchically define the variational distribution. Existing SIVI methods parameterize the…

Machine Learning · Statistics 2025-01-16 Jen Ning Lim , Adam M. Johansen

Random features provide a practical framework for large-scale kernel approximation and supervised learning. It has been shown that data-dependent sampling of random features using leverage scores can significantly reduce the number of…

Machine Learning · Computer Science 2019-03-21 Shahin Shahrampour , Soheil Kolouri

The soft-margin support vector machine (SVM) is a ubiquitous tool for prediction of binary-response data. However, the SVM is characterized entirely via a numerical optimization problem, rather than a probability model, and thus does not…

Methodology · Statistics 2020-07-24 Hien D Nguyen , Daniel V Fryer

We consider the problem of PAC learning the most valuable item from a pool of $n$ items using sequential, adaptively chosen plays of subsets of $k$ items, when, upon playing a subset, the learner receives relative feedback sampled according…

Machine Learning · Computer Science 2020-02-20 Aadirupa Saha , Aditya Gopalan

Learning models that are robust to distribution shifts is a key concern in the context of their real-life applicability. Invariant Risk Minimization (IRM) is a popular framework that aims to learn robust models from multiple environments.…

Machine Learning · Computer Science 2023-04-04 Moulik Choraria , Ibtihal Ferwana , Ankur Mani , Lav R. Varshney

We study a robust version of the maximum capture facility location problem in a competitive market, assuming that each customer chooses among all available facilities according to a random utility maximization (RUM) model. We employ the…

Optimization and Control · Mathematics 2024-01-17 Anh Thuy Ta , Tien Thanh Dam , Tien Mai

Random Utility Models (RUMs), which subsume Plackett-Luce model (PL) as a special case, are among the most popular models for preference learning. In this paper, we consider RUMs with features and their mixtures, where each alternative has…

Machine Learning · Computer Science 2022-05-04 Zhibing Zhao , Ao Liu , Lirong Xia

RNA protein Interactions (RPIs) play an important role in biological systems. Recently, we have enumerated the RPIs at the residue level and have elucidated the minimum structural unit (MSU) in these interactions to be a stretch of five…

Biomolecules · Quantitative Biology 2023-11-29 Sourabh Patil , Archana Mathur , Raviprasad Aduri , Snehanshu Saha

Random utility theory models an agent's preferences on alternatives by drawing a real-valued score on each alternative (typically independently) from a parameterized distribution, and then ranking the alternatives according to scores. A…

Multiagent Systems · Computer Science 2012-11-13 Hossein Azari Soufiani , David C. Parkes , Lirong Xia

Motivated by the successes of deep learning, we propose a class of neural network-based discrete choice models, called RUMnets, inspired by the random utility maximization (RUM) framework. This model formulates the agents' random utility…

Machine Learning · Computer Science 2023-07-21 Ali Aouad , Antoine Désir

Semi-implicit variational inference (SIVI) is introduced to expand the commonly used analytic variational distribution family, by mixing the variational parameter with a flexible distribution. This mixing distribution can assume any density…

Machine Learning · Statistics 2018-05-30 Mingzhang Yin , Mingyuan Zhou

In statistical models for the analysis of time-to-event data, individual heterogeneity is usually accounted for by means of one or more random effects, also known as frailties. In the vast majority of the literature, the random effect is…

Methodology · Statistics 2023-03-10 Maximilian Bardo , Steffen Unkel

The Random Utility Model (RUM) is the gold standard in describing the behavior of a population of consumers. The RUM operates under the assumption of transitivity in consumers' preference relationships, but the empirical literature has…

Theoretical Economics · Economics 2024-06-21 Wilfried Youmbi

Sparsity is a central aspect of interpretability in machine learning. Typically, sparsity is measured in terms of the size of a model globally, such as the number of variables it uses. However, this notion of sparsity is not particularly…

Machine Learning · Computer Science 2024-11-26 Yiyang Sun , Tong Wang , Cynthia Rudin
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