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A mixture of experts models the conditional density of a response variable using a mixture of regression models with covariate-dependent mixture weights. We extend the finite mixture of experts model by allowing the parameters in both the…

Computation · Statistics 2022-10-14 Parfait Munezero , Mattias Villani , Robert Kohn

Mixtures of experts models provide a framework in which covariates may be included in mixture models. This is achieved by modelling the parameters of the mixture model as functions of the concomitant covariates. Given their mixture model…

Methodology · Statistics 2018-06-22 Isobel Claire Gormley , Sylvia Frühwirth-Schnatter

We introduce a novel uncertainty estimation for classification tasks for Bayesian convolutional neural networks with variational inference. By normalizing the output of a Softplus function in the final layer, we estimate aleatoric and…

Machine Learning · Computer Science 2019-05-15 Kumar Shridhar , Felix Laumann , Marcus Liwicki

A method for implicit variable selection in mixture of experts frameworks is proposed. We introduce a prior structure where information is taken from a set of independent covariates. Robust class membership predictors are identified using a…

Econometrics · Economics 2019-01-15 Gregor Zens

Continual learning (CL) has garnered significant attention because of its ability to adapt to new tasks that arrive over time. Catastrophic forgetting (of old tasks) has been identified as a major issue in CL, as the model adapts to new…

Machine Learning · Computer Science 2025-02-20 Hongbo Li , Sen Lin , Lingjie Duan , Yingbin Liang , Ness B. Shroff

We present Bayesian Mixture of Experts (Bayesian-MoE), a post-hoc uncertainty estimation framework for fine-tuned large language models (LLMs) based on Mixture-of-Experts architectures. Our method applies a structured Laplace approximation…

Machine Learning · Computer Science 2025-11-13 Maryam Dialameh , Hossein Rajabzadeh , Weiwei Zhang , Walid Ahmed , Hyock Ju Kwon

Dynamical systems in the life sciences are often composed of complex mixtures of overlapping behavioral regimes. Cellular subpopulations may shift from cycling to equilibrium dynamics or branch towards different developmental fates. The…

Machine Learning · Computer Science 2025-10-13 Nathan Quiblier , Roy Friedman , Matthew Ricci

Affordances are fundamental descriptors of relationships between actions, objects and effects. They provide the means whereby a robot can predict effects, recognize actions, select objects and plan its behavior according to desired goals.…

Robotics · Computer Science 2024-02-12 Pedro Osório , Alexandre Bernardino , Ruben Martinez-Cantin , José Santos-Victor

Effectively managing missing modalities is a fundamental challenge in real-world multimodal learning scenarios, where data incompleteness often results from systematic collection errors or sensor failures. Sparse Mixture-of-Experts (SMoE)…

Machine Learning · Computer Science 2026-05-12 Liangwei Nathan Zheng , Wei Emma Zhang , Mingyu Guo , Olaf Maennel , Weitong Chen

The Mixture-of-Experts (MoE) architecture has enabled the creation of massive yet efficient Large Language Models (LLMs). However, the standard deterministic routing mechanism presents a significant limitation: its inherent brittleness is a…

Machine Learning · Computer Science 2025-09-30 Albus Yizhuo Li

Financial studies require volatility based models which provides useful insights on risks related to investments. Stochastic volatility models are one of the most popular approaches to model volatility in such studies. The asset returns…

Methodology · Statistics 2021-10-26 Soham Mukherjee

Modern large language models leverage Mixture-of-Experts (MoE) architectures for efficient scaling, but face a critical challenge: functionally similar experts are often selected simultaneously, creating redundant computation and limiting…

Computation and Language · Computer Science 2025-10-16 Chen Zheng , Yuhang Cai , Deyi Liu , Jin Ma , Yiyuan Ma , Yuan Yang , Jing Liu , Yutao Zeng , Xun Zhou , Siyuan Qiao

Sampling-based methods, e.g., Deep Ensembles and Bayesian Neural Nets have become promising approaches to improve the quality of uncertainty estimation and robust generalization. However, they suffer from a large model size and high latency…

Machine Learning · Computer Science 2024-05-29 Ha Manh Bui , Anqi Liu

Although linear regression models are fundamental tools in statistical science, the estimation results can be sensitive to outliers. While several robust methods have been proposed in frequentist frameworks, statistical inference is not…

Methodology · Statistics 2020-07-15 Shintaro Hashimoto , Shonosuke Sugasawa

We consider nonparametric estimation of a mixed discrete-continuous distribution under anisotropic smoothness conditions and possibly increasing number of support points for the discrete part of the distribution. For these settings, we…

Statistics Theory · Mathematics 2018-06-21 Andriy Norets , Justinas Pelenis

We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

Methodology · Statistics 2025-02-28 M. E. J. Newman

Mixtures-of-Experts (MoE) are conditional mixture models that have shown their performance in modeling heterogeneity in data in many statistical learning approaches for prediction, including regression and classification, as well as for…

Methodology · Statistics 2019-07-17 Bao Tuyen Huynh , Faicel Chamroukhi

When constructing a Bayesian Machine Learning model, we might be faced with multiple different prior distributions and thus are required to properly consider them in a sensible manner in our model. While this situation is reasonably well…

Machine Learning · Computer Science 2021-04-20 Sarem Seitz

Mixture of Experts (MoE) models are well known for effectively scaling model capacity while preserving computational overheads. In this paper, we establish a rigorous relation between MoE and the self-attention mechanism, showing that each…

Machine Learning · Statistics 2025-07-10 Pedram Akbarian , Huy Nguyen , Xing Han , Nhat Ho

Artificial intelligence (AI) has achieved astonishing successes in many domains, especially with the recent breakthroughs in the development of foundational large models. These large models, leveraging their extensive training data, provide…

Machine Learning · Computer Science 2026-01-27 Siyuan Mu , Sen Lin