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A fundamental problem in revenue management is to optimally choose the attributes of products, such that the total profit or revenue or market share is maximized. Usually, these attributes can affect both a product's market share…

Optimization and Control · Mathematics 2021-12-24 Hongzhang Shao , Anton J. Kleywegt

Improvements in technology lead to increasing availability of large data sets which makes the need for data reduction and informative subsamples ever more important. In this paper we construct $ D $-optimal subsampling designs for…

Statistics Theory · Mathematics 2023-02-28 Torsten Reuter , Rainer Schwabe

Structured utility models are essential for the effective representation and elicitation of complex multiattribute utility functions. Generalized additive independence (GAI) models provide an attractive structural model of user preferences,…

Computer Science and Game Theory · Computer Science 2012-07-09 Darius Braziunas , Craig Boutilier

This paper investigates the construction of moment conditions in discrete choice panel data with individual specific fixed effects. We describe how to systematically explore the existence of moment conditions that do not depend on the fixed…

Econometrics · Economics 2023-12-07 Bo E. Honoré , Martin Weidner

Optimal design is crucial for experimenters to maximize the information collected from experiments and estimate the model parameters most accurately. ForLion algorithms have been proposed to find D-optimal designs for experiments with mixed…

Computation · Statistics 2026-03-17 Siting Lin , Yifei Huang , Jie Yang

We consider a sequential assortment selection problem where the user choice is given by a multinomial logit (MNL) choice model whose parameters are unknown. In each period, the learning agent observes a $d$-dimensional contextual…

Machine Learning · Statistics 2021-03-26 Min-hwan Oh , Garud Iyengar

In this paper, we adopt a latent variable method to formulate a network model with arbitrarily dependent structure. We assume that the latent variables follow a multivariate normal distribution and a link between two nodes forms if the sum…

Methodology · Statistics 2018-03-28 Ting Yan

Causal structure learning is a key problem in many domains. Causal structures can be learnt by performing experiments on the system of interest. We address the largely unexplored problem of designing a batch of experiments that each…

Machine Learning · Computer Science 2021-11-25 Scott Sussex , Andreas Krause , Caroline Uhler

In randomized trials involving multiple treatments, bivariate survival outcomes present significant analytical challenges for making decisions. This paper addresses the problem of deriving optimal individualized treatment rules to maximize…

Machine Learning · Statistics 2026-05-29 Kun Ren , Yifan Cui , Wen Su

Nowadays, in many different fields, massive data are available and for several reasons, it might be convenient to analyze just a subset of the data. The application of the D-optimality criterion can be helpful to optimally select a…

Methodology · Statistics 2022-08-15 L. Deldossi , E. Pesce , C. Tommasi

The experimental design problem concerns the selection of k points from a potentially large design pool of p-dimensional vectors, so as to maximize the statistical efficiency regressed on the selected k design points. Statistical efficiency…

Machine Learning · Statistics 2017-11-15 Zeyuan Allen-Zhu , Yuanzhi Li , Aarti Singh , Yining Wang

Hierarchical random effect models are used for different purposes in clinical research and other areas. In general, the main focus is on population parameters related to the expected treatment effects or group differences among all units of…

Applications · Statistics 2021-04-07 Maryna Prus , Norbert Benda , Rainer Schwabe

We develop general theory for finding locally optimal designs in a class of single-covariate models under any differentiable optimality criterion. Yang and Stufken [Ann. Statist. 40 (2012) 1665-1681] and Dette and Schorning [Ann. Statist.…

Statistics Theory · Mathematics 2014-12-01 Linwei Hu , Min Yang , John Stufken

This work proposes multi-agent systems setting for concurrent engineering system design optimization and gradually paves the way towards examining graph theoretic constructs in the context of multidisciplinary design optimization problem.…

Optimization and Control · Mathematics 2012-09-18 Amir Noori

We consider adaptive decision-making problems where an agent optimizes a cumulative performance objective by repeatedly choosing among a finite set of options. Compared to the classical prediction-with-expert-advice set-up, we consider…

Machine Learning · Computer Science 2023-04-10 Michael Muehlebach

Real-time data-driven optimization and control problems over networks may require sensitive information of participating users to calculate solutions and decision variables, such as in traffic or energy systems. Adversaries with access to…

Optimization and Control · Mathematics 2020-05-25 Roel Dobbe , Ye Pu , Jingge Zhu , Kannan Ramchandran , Claire Tomlin

The subject of this work is two treatment groups random coefficient regression models, in which observational units receive some group-specific treatments. We provide A- and D-optimality criteria for the estimation of the fixed parameter…

Statistics Theory · Mathematics 2020-08-11 Maryna Prus

Designing products to meet consumers' preferences is essential for a business's success. We propose the Gradient-based Survey (GBS), a discrete choice experiment for multiattribute product design. The experiment elicits consumer preferences…

Machine Learning · Statistics 2023-10-19 Mingzhang Yin , Ruijiang Gao , Weiran Lin , Steven M. Shugan

We propose a general methodology of sequential locally optimal design of experiments for explicit or implicit nonlinear models, as they abound in chemical engineering and, in particular, in vapor-liquid equilibrium modeling. As a sequential…

Optimization and Control · Mathematics 2024-03-15 Martin Bubel , Jochen Schmid , Volodymyr Kozachynskyi , Erik Esche , Michael Bortz

This paper is concerned with learning decision makers' preferences using data on observed choices from a finite set of risky alternatives. We propose a discrete choice model with unobserved heterogeneity in consideration sets and in…

Econometrics · Economics 2021-01-07 Levon Barseghyan , Francesca Molinari , Matthew Thirkettle