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With the growing demand for personalized assortment recommendations, concerns over data privacy have intensified, highlighting the urgent need for effective privacy-preserving strategies. This paper presents a novel framework for…

Machine Learning · Statistics 2024-10-31 Young Hyun Cho , Will Wei Sun

In this paper, we provide an explicit probability distribution for classification purposes. It is derived from the Bayesian nonparametric mixture of Dirichlet process model, but with suitable modifications which remove unsuitable aspects of…

Applications · Statistics 2009-05-05 Ruth Fuentes-Garcia , Ramses H Mena , Stephen G Walker

We study a stylized dynamic assortment planning problem during a selling season of finite length $T$. At each time period, the seller offers an arriving customer an assortment of substitutable products and the customer makes the purchase…

Machine Learning · Statistics 2021-02-22 Xi Chen , Chao Shi , Yining Wang , Yuan Zhou

We present a Dirichlet process mixture model over discrete incomplete rankings and study two Gibbs sampling inference techniques for estimating posterior clusterings. The first approach uses a slice sampling subcomponent for estimating…

Machine Learning · Computer Science 2012-03-19 Marina Meila , Harr Chen

We propose Dirichlet Process Mixture (DPM) models for prediction and cluster-wise variable selection, based on two choices of shrinkage baseline prior distributions for the linear regression coefficients, namely the Horseshoe prior and…

Methodology · Statistics 2021-02-26 Dawei Ding , George Karabatsos

Ensembles of machine learning models yield improved system performance as well as robust and interpretable uncertainty estimates; however, their inference costs may often be prohibitively high. \emph{Ensemble Distribution Distillation} is…

Machine Learning · Computer Science 2021-05-17 Max Ryabinin , Andrey Malinin , Mark Gales

We study the dynamic assortment planning problem, where for each arriving customer, the seller offers an assortment of substitutable products and customer makes the purchase among offered products according to an uncapacitated multinomial…

Machine Learning · Statistics 2019-02-11 Xi Chen , Yining Wang , Yuan Zhou

Forecast combination integrates information from various sources by consolidating multiple forecast results from the target time series. Instead of the need to select a single optimal forecasting model, this paper introduces a deep learning…

Machine Learning · Computer Science 2023-11-27 Yinuo Ren , Feng Li , Yanfei Kang , Jue Wang

Nonparametric mixture models based on the Dirichlet process are an elegant alternative to finite models when the number of underlying components is unknown, but inference in such models can be slow. Existing attempts to parallelize…

Machine Learning · Statistics 2012-12-03 Sinead A. Williamson , Avinava Dubey , Eric P. Xing

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

Models of choice are a fundamental input to many now-canonical optimization problems in the field of Operations Management, including assortment, inventory, and price optimization. Naturally, accurate estimation of these models from data is…

Artificial Intelligence · Computer Science 2024-02-09 Joohwan Ko , Andrew A. Li

We consider the dynamic assortment optimization problem under the multinomial logit model (MNL) with unknown utility parameters. The main question investigated in this paper is model mis-specification under the $\varepsilon$-contamination…

Machine Learning · Statistics 2022-07-12 Xi Chen , Akshay Krishnamurthy , Yining Wang

We present the discrete infinite logistic normal distribution (DILN), a Bayesian nonparametric prior for mixed membership models. DILN is a generalization of the hierarchical Dirichlet process (HDP) that models correlation structure between…

Machine Learning · Statistics 2015-03-19 John Paisley , Chong Wang , David Blei

School choice mechanism designers use discrete choice models to understand and predict families' preferences. The most widely-used choice model, the multinomial logit (MNL), is linear in school and/or household attributes. While the model…

Applications · Statistics 2023-06-06 Amel Awadelkarim , Arjun Seshadri , Itai Ashlagi , Irene Lo , Johan Ugander

Recent research efforts in lifelong learning propose to grow a mixture of models to adapt to an increasing number of tasks. The proposed methodology shows promising results in overcoming catastrophic forgetting. However, the theory behind…

Machine Learning · Computer Science 2021-08-30 Fei Ye , Adrian G. Bors

When tracking user-specific online activities, each user's preference is revealed in the form of choices and comparisons. For example, a user's purchase history is a record of her choices, i.e. which item was chosen among a subset of…

Machine Learning · Statistics 2019-01-01 Sahand Negahban , Sewoong Oh , Kiran K. Thekumparampil , Jiaming Xu

Molecular property prediction constitutes a cornerstone of drug discovery and materials science, necessitating models capable of disentangling complex structure-property relationships across diverse molecular modalities. Existing approaches…

Machine Learning · Computer Science 2026-03-24 Long Xu , Junping Guo , Jianbo Zhao , Jianbo Lu , Yuzhong Peng

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…

This paper studies assortment and pricing optimization problems under the Two-Stage Luce model (2SLM), a discrete choice model introduced by Echenique and Saito (2018) that generalizes the multinomial logit model (MNL). The model employs an…

Discrete Mathematics · Computer Science 2019-04-24 Alvaro Flores , Gerardo Berbeglia , Pascal Van Hentenryck

The Dirichlet process (DP) is a fundamental mathematical tool for Bayesian nonparametric modeling, and is widely used in tasks such as density estimation, natural language processing, and time series modeling. Although MCMC inference…

Machine Learning · Statistics 2013-04-09 Dan Lovell , Jonathan Malmaud , Ryan P. Adams , Vikash K. Mansinghka