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Bayesian models are a powerful tool for studying complex data, allowing the analyst to encode rich hierarchical dependencies and leverage prior information. Most importantly, they facilitate a complete characterization of uncertainty…

Machine Learning · Statistics 2023-04-25 Steven Winter , Trevor Campbell , Lizhen Lin , Sanvesh Srivastava , David B. Dunson

Ensembles of independently trained neural networks are a state-of-the-art approach to estimate predictive uncertainty in Deep Learning, and can be interpreted as an approximation of the posterior distribution via a mixture of delta…

Machine Learning · Computer Science 2022-07-11 Aleksei Tiulpin , Matthew B. Blaschko

We introduce the Graph Mixture Density Networks, a new family of machine learning models that can fit multimodal output distributions conditioned on graphs of arbitrary topology. By combining ideas from mixture models and graph…

Machine Learning · Computer Science 2021-06-28 Federico Errica , Davide Bacciu , Alessio Micheli

Mixture-of-Experts (MoE) is a widely popular model for ensemble learning and is a basic building block of highly successful modern neural networks as well as a component in Gated Recurrent Units (GRU) and Attention networks. However,…

Machine Learning · Computer Science 2019-06-10 Ashok Vardhan Makkuva , Sewoong Oh , Sreeram Kannan , Pramod Viswanath

We introduce a Bayesian approach to predictive density calibration and combination that accounts for parameter uncertainty and model set incompleteness through the use of random calibration functionals and random combination weights.…

Applications · Statistics 2016-10-26 Federico Bassetti , Roberto Casarin , Francesco Ravazzolo

Hard-parameter sharing is a common strategy to train a single model jointly across diverse tasks. However, this often leads to task interference, impeding overall model performance. To address the issue, we propose a simple yet effective…

Computation and Language · Computer Science 2025-08-15 Hojun Jin , Eunsoo Hong , Ziwon Hyung , Sungjun Lim , Seungjin Lee , Keunseok Cho

Multinomial mixtures are widely used in the information engineering field, however, their mathematical properties are not yet clarified because they are singular learning models. In fact, the models are non-identifiable and their Fisher…

Machine Learning · Computer Science 2022-03-15 Takumi Watanabe , Sumio Watanabe

Mixture-of-Experts (MoE) architectures enable conditional computation by routing inputs to multiple expert subnetworks and are often motivated as a mechanism for scaling large language models. In this project, we instead study MoE behavior…

Machine Learning · Computer Science 2026-01-22 Adam Rokah , Daniel Veress , Caleb Caulk , Sourav Sharan

In this paper, we investigate the asymptotic properties of nonparametric Bayesian mixtures of Betas for estimating a smooth density on $[0,1]$. We consider a parametrization of Beta distributions in terms of mean and scale parameters and…

Statistics Theory · Mathematics 2010-01-12 Judith Rousseau

In mobile edge computing (MEC) networks, mobile users generate diverse machine learning tasks dynamically over time. These tasks are typically offloaded to the nearest available edge server, by considering communication and computational…

Machine Learning · Computer Science 2025-03-26 Hongbo Li , Lingjie Duan

Recent models for natural language understanding are inclined to exploit simple patterns in datasets, commonly known as shortcuts. These shortcuts hinge on spurious correlations between labels and latent features existing in the training…

Computation and Language · Computer Science 2024-11-19 Ukyo Honda , Tatsushi Oka , Peinan Zhang , Masato Mita

Robust Bayesian inference is the calculation of posterior probability bounds given perturbations in a probabilistic model. This paper focuses on perturbations that can be expressed locally in Bayesian networks through convex sets of…

Artificial Intelligence · Computer Science 2013-02-08 Fabio Gagliardi Cozman

Mixture-of-Experts (MoE) is an emerging technique for scaling large models with sparse activation. MoE models are typically trained in a distributed manner with an expert parallelism scheme, where experts in each MoE layer are distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-26 Fahao Chen , Peng Li , Zicong Hong , Zhou Su , Song Guo

Neural networks utilize the softmax as a building block in classification tasks, which contains an overconfidence problem and lacks an uncertainty representation ability. As a Bayesian alternative to the softmax, we consider a random…

Machine Learning · Computer Science 2020-06-30 Taejong Joo , Uijung Chung , Min-Gwan Seo

Gating is a key feature in modern neural networks including LSTMs, GRUs and sparsely-gated deep neural networks. The backbone of such gated networks is a mixture-of-experts layer, where several experts make regression decisions and gating…

Machine Learning · Computer Science 2020-06-19 Ashok Vardhan Makkuva , Sewoong Oh , Sreeram Kannan , Pramod Viswanath

There is wide interest in studying how the distribution of a continuous response changes with a predictor. We are motivated by environmental applications in which the predictor is the dose of an exposure and the response is a health…

Methodology · Statistics 2018-05-10 Antonio Canale , Daniele Durante , David Dunson

In this paper, we present the practical problems and the lessons learned at short-video services from Kuaishou. In industry, a widely-used multi-task framework is the Mixture-of-Experts (MoE) paradigm, which always introduces some shared…

Information Retrieval · Computer Science 2024-08-13 Xu Wang , Jiangxia Cao , Zhiyi Fu , Kun Gai , Guorui Zhou

This paper outlines a Bayesian approach to estimate finite mixtures of Tobit models. The method consists of an MCMC approach that combines Gibbs sampling with data augmentation and is simple to implement. I show through simulations that the…

Econometrics · Economics 2024-11-18 Caio Waisman

From medical diagnosis to autonomous vehicles, critical applications rely on the integration of multiple heterogeneous data modalities. Multimodal Variational Autoencoders offer versatile and scalable methods for generating unobserved…

Machine Learning · Computer Science 2025-02-07 Agathe Senellart , Stéphanie Allassonnière

Modeling structure in complex networks using Bayesian non-parametrics makes it possible to specify flexible model structures and infer the adequate model complexity from the observed data. This paper provides a gentle introduction to…

Machine Learning · Statistics 2013-12-23 Mikkel N. Schmidt , Morten Mørup