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Gaussian processes (GPs) are powerful but computationally expensive machine learning models, requiring an estimate of the kernel covariance matrix for every prediction. In large and complex domains, such as graphs, sets, or images, the…

机器学习 · 计算机科学 2022-04-22 Alessandro Tibo , Thomas Dyhre Nielsen

We present a dynamic subspace approach for efficiently approximating large-scale systems by learning time-continuous trajectories on the Grassmannian manifold. By parameterizing a low-dimensional basis as a geodesic path, the method allows…

数值分析 · 数学 2026-05-26 Jack DeChant , Rudy Geelen , Shane A. McQuarrie , Johann Guilleminot

We examine an analytic variational inference scheme for the Gaussian Process State Space Model (GPSSM) - a probabilistic model for system identification and time-series modelling. Our approach performs variational inference over both the…

机器学习 · 统计学 2018-12-11 Alessandro Davide Ialongo , Mark van der Wilk , Carl Edward Rasmussen

This work considers the distributed computation of the one-to-one vertex correspondences between two undirected and connected graphs, which is called \textit{graph matching}, over multi-agent networks. Given two \textit{isomorphic} and…

最优化与控制 · 数学 2020-02-21 Quoc Van Tran , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

Graph representation learning aims to encode all nodes of a graph into low-dimensional vectors that will serve as input of many compute vision tasks. However, most existing algorithms ignore the existence of inherent data distribution and…

机器学习 · 计算机科学 2020-08-04 Shuai Zheng , Zhenfeng Zhu , Xingxing Zhang , Zhizhe Liu , Jian Cheng , Yao Zhao

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

机器学习 · 计算机科学 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

The problem of predicting links in large networks is an important task in a variety of practical applications, including social sciences, biology and computer security. In this paper, statistical techniques for link prediction based on the…

应用统计 · 统计学 2021-09-01 Francesco Sanna Passino , Anna S. Bertiger , Joshua C. Neil , Nicholas A. Heard

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

统计方法学 · 统计学 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

Over the past few years, research on deep graph learning has shifted from static graphs to temporal graphs in response to real-world complex systems that exhibit dynamic behaviors. In practice, temporal graphs are formalized as an ordered…

机器学习 · 计算机科学 2024-10-30 Jintang Li , Ruofan Wu , Xinzhou Jin , Boqun Ma , Liang Chen , Zibin Zheng

Additive-interactive regression has recently been shown to offer attractive minimax error rates over traditional nonparametric multivariate regression in a wide variety of settings, including cases where the predictor count is much larger…

统计方法学 · 统计学 2014-11-26 Shaan Qamar , Surya T. Tokdar

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

统计计算 · 统计学 2022-05-30 Emanuele Aliverti , Massimiliano Russo

We introduce efficient Markov chain Monte Carlo methods for inference and model determination in multivariate and matrix-variate Gaussian graphical models. Our framework is based on the G-Wishart prior for the precision matrix associated…

统计方法学 · 统计学 2010-05-25 Adrian Dobra , Alex Lenkoski , Abel Rodriguez

Deep learning offers promising new ways to accurately model aleatoric uncertainty in robotic state estimation systems, particularly when the uncertainty distributions do not conform to traditional assumptions of being fixed and Gaussian. In…

机器学习 · 计算机科学 2025-02-28 Aastha Acharya , Caleb Lee , Marissa D'Alonzo , Jared Shamwell , Nisar R. Ahmed , Rebecca Russell

In recent years, Dynamic Graph (DG) representations have been increasingly used for modeling dynamic systems due to their ability to integrate both topological and temporal information in a compact representation. Dynamic graphs allow to…

机器学习 · 计算机科学 2023-04-13 Leshanshui Yang , Sébastien Adam , Clément Chatelain

Machine learning models often require large datasets and struggle to generalize beyond their training distribution. These limitations pose significant challenges in scientific and engineering contexts, where generating exhaustive datasets…

化学物理 · 物理学 2025-06-12 Salman N. Salman , Sergey A. Shteingolts , Ron Levie , Dan Mendels

Representations of sequential data are commonly based on the assumption that observed sequences are realizations of an unknown underlying stochastic process, where the learning problem includes determination of the model parameters. In this…

机器学习 · 统计学 2019-09-17 Ronny Hug , Wolfgang Hübner , Michael Arens

In this work, we propose and explore Deep Graph Value Network (DeepGV) as a promising method to work around sample complexity in deep reinforcement-learning agents using a message-passing mechanism. The main idea is that the agent should be…

人工智能 · 计算机科学 2021-10-22 Mingxuan Li , Michael L. Littman

Modelling robot dynamics accurately is essential for control, motion optimisation and safe human-robot collaboration. Given the complexity of modern robotic systems, dynamics modelling remains non-trivial, mostly in the presence of…

机器人学 · 计算机科学 2022-05-11 David Jorge , Gabriella Pizzuto , Michael Mistry

We consider a graphical model where a multivariate normal vector is associated with each node of the underlying graph and estimate the graphical structure. We minimize a loss function obtained by regressing the vector at each node on those…

机器学习 · 统计学 2017-09-19 Xingqi Du , Subhashis Ghosal

Numerous models for supervised and reinforcement learning benefit from combinations of discrete and continuous model components. End-to-end learnable discrete-continuous models are compositional, tend to generalize better, and are more…

机器学习 · 计算机科学 2023-07-27 David Friede , Mathias Niepert
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