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Related papers: Gaussian-Mixture-Model Q-Functions for Policy Iter…

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This paper establishes a novel role for Gaussian-mixture models (GMMs) as functional approximators of Q-function losses in reinforcement learning (RL). Unlike the existing RL literature, where GMMs play their typical role as estimates of…

Machine Learning · Computer Science 2024-09-11 Minh Vu , Konstantinos Slavakis

This paper introduces a structured and interpretable online policy-iteration framework for reinforcement learning (RL), built around the novel class of sparse Gaussian mixture model Q-functions (S-GMM-QFs). Extending earlier work that…

Machine Learning · Computer Science 2026-02-17 Minh Vu , Konstantinos Slavakis

We propose an Gaussian Mixture Model (GMM) learning algorithm, based on our previous work of GMM expansion idea. The new algorithm brings more robustness and simplicity than classic Expectation Maximization (EM) algorithm. It also improves…

Machine Learning · Computer Science 2023-09-07 Weiguo Lu , Xuan Wu , Deng Ding , Gangnan Yuan

This work presents a novel algorithm that integrates a data-efficient function approximator with reinforcement learning in continuous state spaces. An online and incremental algorithm capable of learning from a single pass through data,…

Machine Learning · Computer Science 2020-11-03 Rafael Pinto

Generalized linear mixed-effects models (GLMMs) are widely used to analyze grouped and hierarchical data. In a GLMM, each response is assumed to follow an exponential-family distribution where the natural parameter is given by a linear…

Machine Learning · Statistics 2026-04-14 Yuli Slavutsky , Sebastian Salazar , David M. Blei

We present Gaussian Mixture Replay (GMR), a rehearsal-based approach for continual learning (CL) based on Gaussian Mixture Models (GMM). CL approaches are intended to tackle the problem of catastrophic forgetting (CF), which occurs for Deep…

Machine Learning · Computer Science 2021-04-20 Benedikt Pfülb , Alexander Gepperth

We present an approach for continual learning (CL) that is based on fully probabilistic (or generative) models of machine learning. In contrast to, e.g., GANs that are "generative" in the sense that they can generate samples, fully…

Machine Learning · Computer Science 2021-04-20 Benedikt Pfülb , Alexander Gepperth , Benedikt Bagus

We develop the use of mutual information (MI), a well-established metric in information theory, to interpret the inner workings of deep learning models. To accurately estimate MI from a finite number of samples, we present GMM-MI…

Data Analysis, Statistics and Probability · Physics 2023-04-12 Davide Piras , Hiranya V. Peiris , Andrew Pontzen , Luisa Lucie-Smith , Ningyuan Guo , Brian Nord

Multimodal content is crucial for click-through rate (CTR) prediction. However, directly incorporating continuous embeddings from pre-trained models into CTR models yields suboptimal results due to misaligned optimization objectives and…

Information Retrieval · Computer Science 2026-02-16 Ziye Tong , Jiahao Liu , Weimin Zhang , Hongji Ruan , Derick Tang , Zhanpeng Zeng , Qinsong Zeng , Peng Zhang , Tun Lu , Ning Gu

This paper investigates Gaussian copula mixture models (GCMM), which are an extension of Gaussian mixture models (GMM) that incorporate copula concepts. The paper presents the mathematical definition of GCMM and explores the properties of…

Machine Learning · Computer Science 2023-05-25 Ke Wan , Alain Kornhauser

Gaussian Mixture Models are a powerful tool in Data Science and Statistics that are mainly used for clustering and density approximation. The task of estimating the model parameters is in practice often solved by the Expectation…

Machine Learning · Statistics 2022-08-25 Lena Sembach , Jan Pablo Burgard , Volker H. Schulz

Mixture modelling using elliptical distributions promises enhanced robustness, flexibility and stability over the widely employed Gaussian mixture model (GMM). However, existing studies based on the elliptical mixture model (EMM) are…

Machine Learning · Computer Science 2020-09-30 Shengxi Li , Zeyang Yu , Danilo Mandic

Probability theory has become the predominant framework for quantifying uncertainty across scientific and engineering disciplines, with a particular focus on measurement and control systems. However, the widespread reliance on simple…

Learning from demonstration (LfD) is an intuitive framework allowing non-expert users to easily (re-)program robots. However, the quality and quantity of demonstrations have a great influence on the generalization performances of LfD…

Robotics · Computer Science 2020-08-07 Hakan Girgin , Emmanuel Pignat , Noémie Jaquier , Sylvain Calinon

Objectives: This paper develops two algorithms to achieve federated generalized linear mixed effect models (GLMM), and compares the developed model's outcomes with each other, as well as that from the standard R package (`lme4'). Methods:…

Machine Learning · Statistics 2022-06-09 Wentao Li , Jiayi Tong , Md. Monowar Anjum , Noman Mohammed , Yong Chen , Xiaoqian Jiang

The learning of Gaussian Mixture Models (also referred to simply as GMMs) plays an important role in machine learning. Known for their expressiveness and interpretability, Gaussian mixture models have a wide range of applications, from…

Machine Learning · Computer Science 2023-07-14 Ruichong Zhang

We take a new look at parameter estimation for Gaussian Mixture Models (GMMs). In particular, we propose using \emph{Riemannian manifold optimization} as a powerful counterpart to Expectation Maximization (EM). An out-of-the-box invocation…

Machine Learning · Statistics 2015-06-26 Reshad Hosseini , Suvrit Sra

Deep learning is a hierarchical inference method formed by subsequent multiple layers of learning able to more efficiently describe complex relationships. In this work, Deep Gaussian Mixture Models are introduced and discussed. A Deep…

Machine Learning · Statistics 2017-11-21 Cinzia Viroli , Geoffrey J. McLachlan

We study estimation and inference using data collected by reinforcement learning (RL) algorithms. These algorithms adaptively experiment by interacting with individual units over multiple stages, updating their strategies based on past…

Machine Learning · Statistics 2025-10-06 Vasilis Syrgkanis , Ruohan Zhan

Gaussian mixture models (GMMs) are ubiquitous in statistical learning, particularly for unsupervised problems. While full GMMs suffer from the overparameterization of their covariance matrices in high-dimensional spaces, spherical GMMs…

Machine Learning · Statistics 2025-11-10 Tom Szwagier , Pierre-Alexandre Mattei , Charles Bouveyron , Xavier Pennec
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