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Adaptive learning is necessary for non-stationary environments where the learning machine needs to forget past data distribution. Efficient algorithms require a compact model update to not grow in computational burden with the incoming data…

机器学习 · 计算机科学 2023-07-11 Vanessa Gómez-Verdejo , Emilio Parrado-Hernández , Manel Martínez-Ramón

This work proposes a scalable probabilistic latent variable model based on Gaussian processes (Lawrence, 2004) in the context of multiple observation spaces. We focus on an application in astrophysics where data sets typically contain both…

星系天体物理 · 物理学 2025-02-28 Vidhi Lalchand , Anna-Christina Eilers

We propose a novel online Gaussian process (GP) model that is capable of capturing long-term memory in sequential data in an online learning setting. Our model, Online HiPPO Sparse Variational Gaussian Process (OHSVGP), leverages the HiPPO…

机器学习 · 计算机科学 2025-09-30 Wenlong Chen , Naoki Kiyohara , Harrison Bo Hua Zhu , Jacob Curran-Sebastian , Samir Bhatt , Yingzhen Li

We address the problem of one-to-many mappings in supervised learning, where a single instance has many different solutions of possibly equal cost. The framework of conditional variational autoencoders describes a class of methods to tackle…

机器学习 · 统计学 2019-09-11 Alexej Klushyn , Nutan Chen , Botond Cseke , Justin Bayer , Patrick van der Smagt

Purely data driven approaches for machine learning present difficulties when data is scarce relative to the complexity of the model or when the model is forced to extrapolate. On the other hand, purely mechanistic approaches need to…

机器学习 · 统计学 2020-03-16 Mauricio A. Álvarez , David Luengo , Neil D. Lawrence

Centuries of development in natural sciences and mathematical modeling provide valuable domain expert knowledge that has yet to be explored for the development of machine learning models. When modeling complex physical systems, both domain…

机器学习 · 计算机科学 2020-09-01 Daniel L. Marino , Milos Manic

The accurate prediction of time-changing variances is an important task in the modeling of financial data. Standard econometric models are often limited as they assume rigid functional relationships for the variances. Moreover, function…

统计方法学 · 统计学 2014-02-14 Yue Wu , Jose Miguel Hernandez Lobato , Zoubin Ghahramani

We investigate a fully Latent AutoRegressive scheme based on a Gaussian Process (GP) integrated into a Variational Autoencoder (VAE). In this setting, sequential dynamics are transferred from the observation space to a continuous latent…

机器学习 · 计算机科学 2025-12-16 Yves Ruffenach

Multitask Gaussian process (MTGP) is powerful for joint learning of multiple tasks with complicated correlation patterns. However, due to the assembling of additive independent latent functions, all current MTGPs including the salient…

机器学习 · 计算机科学 2021-10-05 Kai Chen , Twan van Laarhoven , Elena Marchiori , Feng Yin , Shuguang Cui

We present a multi-objective evolutionary optimization algorithm that uses Gaussian process (GP) regression-based models to select trial solutions in a multi-generation iterative procedure. In each generation, a surrogate model is…

神经与进化计算 · 计算机科学 2020-05-22 Xiaobiao Huang , Minghao Song , Zhe Zhang

Multimodal learning has been lacking principled ways of combining information from different modalities and learning a low-dimensional manifold of meaningful representations. We study multimodal learning and sensor fusion from a latent…

机器学习 · 计算机科学 2019-04-24 Lijiang Guo

Gaussian processes (GPs) are Bayesian nonparametric models for function approximation with principled predictive uncertainty estimates. Deep Gaussian processes (DGPs) are multilayer generalizations of GPs that can represent complex marginal…

机器学习 · 统计学 2024-09-20 Qiuxian Meng , Yongyou Zhang

Multi-output regression models must exploit dependencies between outputs to maximise predictive performance. The application of Gaussian processes (GPs) to this setting typically yields models that are computationally demanding and have…

机器学习 · 统计学 2019-02-27 James Requeima , Will Tebbutt , Wessel Bruinsma , Richard E. Turner

Deep Gaussian Processes (DGPs) are multi-layer, flexible extensions of Gaussian processes but their training remains challenging. Sparse approximations simplify the training but often require optimization over a large number of inducing…

机器学习 · 统计学 2021-07-20 Ayush Jain , P. K. Srijith , Mohammad Emtiyaz Khan

Despite the widespread utilization of Gaussian process models for versatile nonparametric modeling, they exhibit limitations in effectively capturing abrupt changes in function smoothness and accommodating relationships with heteroscedastic…

机器学习 · 统计学 2023-09-01 Taehee Lee , Jun S. Liu

We provide a comprehensive overview of latent Markov (LM) models for the analysis of longitudinal categorical data. The main assumption behind these models is that the response variables are conditionally independent given a latent process…

统计理论 · 数学 2010-03-16 F. Bartolucci , A. Farcomeni , F. Pennoni

Gaussian processes (GP) are a versatile tool in machine learning and computational science. We here consider the case of multi-output Gaussian processes (MOGP) and present low-rank approaches for efficiently computing the posterior mean of…

数值分析 · 数学 2025-05-01 Sebastian Esche , Martin Stoll

Recognizing the successes of treed Gaussian process (TGP) models as an interpretable and thrifty model for nonparametric regression, we seek to extend the model to classification. Both treed models and Gaussian processes (GPs) have,…

统计方法学 · 统计学 2010-09-28 Tamara Broderick , Robert B. Gramacy

Learning world models from their sensory inputs enables agents to plan for actions by imagining their future outcomes. World models have previously been shown to improve sample-efficiency in simulated environments with few objects, but have…

We address tracking and prediction of multiple moving objects in visual data streams as inference and sampling in a disentangled latent state-space model. By encoding objects separately and including explicit position information in the…

机器学习 · 统计学 2019-10-15 Adnan Akhundov , Maximilian Soelch , Justin Bayer , Patrick van der Smagt