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We study logit-based multi-purchase choice models and develop an exact solution methodology for the resulting assortment optimization problems, which we show are NP-hard to approximate. We introduce a hypergraph representation that captures…

最优化与控制 · 数学 2026-03-30 Taotao He , Zhongqi Wu , Yating Zhang

This letter proposes a novel communication-efficient and privacy-preserving distributed machine learning framework, coined Mix2FLD. To address uplink-downlink capacity asymmetry, local model outputs are uploaded to a server in the uplink as…

机器学习 · 计算机科学 2020-06-18 Seungeun Oh , Jihong Park , Eunjeong Jeong , Hyesung Kim , Mehdi Bennis , Seong-Lyun Kim

Conventional knowledge distillation (KD) methods require access to the internal information of teachers, e.g., logits. However, such information may not always be accessible for large pre-trained language models (PLMs). In this work, we…

计算与语言 · 计算机科学 2023-06-16 Qinhong Zhou , Zonghan Yang , Peng Li , Yang Liu

Scientific machine learning (SciML) increasingly requires models that capture multimodal conditional uncertainty arising from ill-posed inverse problems, multistability, and chaotic dynamics. While recent work has favored highly expressive…

机器学习 · 计算机科学 2026-02-03 Leonardo Ferreira Guilhoto , Akshat Kaushal , Paris Perdikaris

Clustered Federated Learning (CFL) improves performance under non-IID client heterogeneity by clustering clients and training one model per cluster, thereby balancing between a global model and fully personalized models. However, most CFL…

机器学习 · 计算机科学 2026-01-30 Mariona Jaramillo-Civill , Peng Wu , Pau Closas

We propose the Distance-informed Neural Process (DNP), a novel variant of Neural Processes that improves uncertainty estimation by combining global and distance-aware local latent structures. Standard Neural Processes (NPs) often rely on a…

机器学习 · 计算机科学 2025-08-27 Aishwarya Venkataramanan , Joachim Denzler

This paper investigates the theoretical properties of Dirichlet kernel density estimators for compositional data supported on simplices, for the first time addressing scenarios involving time-dependent observations characterized by strong…

统计理论 · 数学 2025-11-06 Hanen Daayeb , Salah Khardani , Frédéric Ouimet

Discrete random structures are important tools in Bayesian nonparametrics and the resulting models have proven effective in density estimation, clustering, topic modeling and prediction, among others. In this paper, we consider nested…

Many relevant statistical and econometric models for the analysis of longitudinal data include a latent process to account for the unobserved heterogeneity between subjects in a dynamic fashion. Such a process may be continuous (typically…

统计理论 · 数学 2011-08-09 Francesco Bartolucci , Silvia Bacci , Fulvia Pennoni

This paper provides a review of model selection and model averaging methods for multinomial probit models estimated using the MACML approach. The proposed approaches are partitioned into test based methods (mostly derived from the…

统计方法学 · 统计学 2017-04-04 Manuel Batram , Dietmar Bauer

We develop a sequential low-complexity inference procedure for Dirichlet process mixtures of Gaussians for online clustering and parameter estimation when the number of clusters are unknown a-priori. We present an easily computable, closed…

机器学习 · 统计学 2015-09-15 Theodoros Tsiligkaridis , Keith W. Forsythe

We consider a dynamic assortment selection problem, where in every round the retailer offers a subset (assortment) of $N$ substitutable products to a consumer, who selects one of these products according to a multinomial logit (MNL) choice…

机器学习 · 计算机科学 2018-07-03 Shipra Agrawal , Vashist Avadhanula , Vineet Goyal , Assaf Zeevi

We consider assortment and inventory planning problems with dynamic stockout-based substitution effects, and without replenishment, in two different settings: (1) Customers can see all available products when they arrive, a typical scenario…

最优化与控制 · 数学 2025-01-09 Shuo Sun , Rajan Udwani , Zuo-Jun Max Shen

The Nested Dirichlet Distribution (NDD) provides a flexible alternative to the Dirichlet distribution for modeling compositional data, relaxing constraints on component variances and correlations through a hierarchical tree structure. While…

统计方法学 · 统计学 2026-01-16 Jacob A. Turner , Monnie McGee , Bianca A. Luedeker

It is shown that a simple Dirichlet process mixture of multivariate normals offers Bayesian density estimation with adaptive posterior convergence rates. Toward this, a novel sieve for non-parametric mixture densities is explored, and its…

统计理论 · 数学 2011-11-18 Surya T. Tokdar

Dirichlet process mixtures are flexible non-parametric models, particularly suited to density estimation and probabilistic clustering. In this work we study the posterior distribution induced by Dirichlet process mixtures as the sample size…

统计理论 · 数学 2022-11-29 Filippo Ascolani , Antonio Lijoi , Giovanni Rebaudo , Giacomo Zanella

We propose a new discrete choice model, called the generalized stochastic preference (GSP) model, that incorporates non-rationality into the stochastic preference (SP) choice model, also known as the rank-based model. Our model can capture…

计算机科学与博弈论 · 计算机科学 2025-08-28 Gerardo Berbeglia , Ashwin Venkataraman

Copula-based methods provide a flexible approach to build missing data imputation models of multivariate data of mixed types. However, the choice of copula function is an open question. We consider a Bayesian nonparametric approach by using…

统计方法学 · 统计学 2019-10-15 Jiali Wang , Anton Westveld , Bronwyn Loong , Alan Welsh

We propose the supervised hierarchical Dirichlet process (sHDP), a nonparametric generative model for the joint distribution of a group of observations and a response variable directly associated with that whole group. We compare the sHDP…

机器学习 · 统计学 2014-12-18 Andrew M. Dai , Amos J. Storkey

Probabilistic finite mixture models are widely used for unsupervised clustering. These models can often be improved by adapting them to the topology of the data. For instance, in order to classify spatially adjacent data points similarly,…

计算机视觉与模式识别 · 计算机科学 2022-02-09 Jonathan Vacher , Claire Launay , Ruben Coen-Cagli