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Inspired by sample splitting and the reusable holdout introduced in the field of differential privacy, we consider selective inference with a randomized response. We discuss two major advantages of using a randomized response for model…

Statistics Theory · Mathematics 2016-12-01 Xiaoying Tian , Jonathan E. Taylor

This paper studies choice situations in which a decision maker can choose multiple alternatives. Given a menu of available options, the decision maker selects a subset of the menu with certain probabilities. We employ an axiomatic approach…

Theoretical Economics · Economics 2025-11-25 Tri Phu Vu

This paper describes the automation of a new text categorization task. The categories assigned in this task are more syntactically, semantically, and contextually complex than those typically assigned by fully automatic systems that process…

cmp-lg · Computer Science 2007-05-23 Janyce Wiebe , Rebecca Bruce , Lei Duan

Models of stochastic choice typically use conditional choice probabilities given menus as the primitive for analysis, but in the field these are often hard to observe. Moreover, studying preferences over menus is not possible with this…

Theoretical Economics · Economics 2022-08-19 Yaron Azrieli , John Rehbeck

In many situations, the decision maker observes items in sequence and needs to determine whether or not to retain a particular item immediately after it is observed. Any decision rule creates a set of items that are selected. We consider…

Probability · Mathematics 2007-05-23 Abba M. Krieger , Moshe Pollak , Ester Samuel-Cahn

We provide the first behavioral characterization of nested logit, a foundational and widely applied discrete choice model, through the introduction of a non-parametric version of nested logit that we call Nested Stochastic Choice (NSC). NSC…

Theoretical Economics · Economics 2022-02-07 Matthew Kovach , Gerelt Tserenjigmid

We study the problem of selecting limited features to observe such that models trained on them can perform well simultaneously across multiple subpopulations. This problem has applications in settings where collecting each feature is…

Machine Learning · Computer Science 2025-10-27 Maitreyi Swaroop , Tamar Krishnamurti , Bryan Wilder

Machine learning models are often personalized with information that is protected, sensitive, self-reported, or costly to acquire. These models use information about people but do not facilitate nor inform their consent. Individuals cannot…

Machine Learning · Computer Science 2023-10-13 Hailey Joren , Chirag Nagpal , Katherine Heller , Berk Ustun

We propose and axiomatize the categorical thinking model (CTM) in which the framing of the decision problem affects how agents categorize alternatives, that in turn affects their evaluation of it. Prominent models of salience, status quo…

Theoretical Economics · Economics 2021-02-02 Andrew Ellis , Yusufcan Masatlioglu

Strategic classification studies learning in settings where self-interested users can strategically modify their features to obtain favorable predictive outcomes. A key working assumption, however, is that "favorable" always means…

Machine Learning · Computer Science 2022-06-22 Sagi Levanon , Nir Rosenfeld

This paper introduces a mathematical framework of a stochastic process model as a generalization of diffusion stochastic processes to model latent variables in categorical responses given unobserved random effects and maximum likelihood…

Statistics Theory · Mathematics 2023-06-05 Mahdi Mollakazemiha

Models allowing for random heterogeneity, such as mixed logit and latent class, are generally observed to obtain superior model fit and yield detailed insights into unobserved preference heterogeneity. Using theoretical arguments and two…

Econometrics · Economics 2025-10-13 Stephane Hess , Sander van Cranenburgh

There is a growing body of work on sorting and selection in models other than the unit-cost comparison model. This work is the first treatment of a natural stochastic variant of the problem where the cost of comparing two elements is a…

Data Structures and Algorithms · Computer Science 2007-10-02 Stanislav Angelov , Keshav Kunal , Andrew McGregor

We study a simple model of the stochastic information filtering, in a randomly organized information system. For simplest versions of the model it appears to be possible to describe the filtering dynamics in terms of the master equations.…

Disordered Systems and Neural Networks · Physics 2009-11-07 I. S. Manida , Yu. M. Pis'mak

We introduce instancewise feature selection as a methodology for model interpretation. Our method is based on learning a function to extract a subset of features that are most informative for each given example. This feature selector is…

Machine Learning · Computer Science 2018-06-15 Jianbo Chen , Le Song , Martin J. Wainwright , Michael I. Jordan

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

We here introduce a novel classification approach adopted from the nonlinear model identification framework, which jointly addresses the feature selection and classifier design tasks. The classifier is constructed as a polynomial expansion…

Machine Learning · Computer Science 2016-07-29 Aida Brankovic , Alessandro Falsone , Maria Prandini , Luigi Piroddi

Preferences play a key role in determining what goals/constraints to satisfy when not all constraints can be satisfied simultaneously. In this work, we study preference-based planning in a stochastic system modeled as a Markov decision…

Formal Languages and Automata Theory · Computer Science 2022-03-28 Abhishek Ninad Kulkarni , Jie Fu

It is well known that options can make planning more efficient, among their many benefits. Thus far, algorithms for autonomously discovering a set of useful options were heuristic. Naturally, a principled way of finding a set of useful…

Machine Learning · Computer Science 2018-02-01 Roy Fox , Michal Moshkovitz , Naftali Tishby

Providing users with alternatives to choose from is an essential component in many online platforms, making the accurate prediction of choice vital to their success. A renewed interest in learning choice models has led to significant…

Machine Learning · Computer Science 2020-01-22 Nir Rosenfeld , Kojin Oshiba , Yaron Singer