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Multi-task Gaussian process (MTGP) is a well-known non-parametric Bayesian model for learning correlated tasks effectively by transferring knowledge across tasks. But current MTGPs are usually limited to the multi-task scenario defined in…

机器学习 · 统计学 2024-10-28 Haitao Liu , Kai Wu , Yew-Soon Ong , Chao Bian , Xiaomo Jiang , Xiaofang Wang

Gaussian process state-space models (GPSSMs) provide a principled and flexible approach to modeling the dynamics of a latent state, which is observed at discrete-time points via a likelihood model. However, inference in GPSSMs is…

机器学习 · 计算机科学 2023-07-18 Xuhui Fan , Edwin V. Bonilla , Terence J. O'Kane , Scott A. Sisson

Graph-structured data is a type of data to be obtained associated with a graph structure where vertices and edges describe some kind of data correlation. This paper proposes a regression method on graph-structured data, which is based on…

机器学习 · 计算机科学 2025-05-23 Ayano Nakai-Kasai , Tadashi Wadayama

A critical bottleneck for scientific progress is the costly nature of computer simulations for complex systems. Surrogate models provide an appealing solution: such models are trained on simulator evaluations, then used to emulate and…

机器学习 · 统计学 2025-07-14 Xinming Wang , Simon Mak , John Miller , Jianguo Wu

Probabilistic Latent Variable Models (LVMs) provide an alternative to self-supervised learning approaches for linguistic representation learning from speech. LVMs admit an intuitive probabilistic interpretation where the latent structure…

音频与语音处理 · 电气工程与系统科学 2020-09-09 Sameer Khurana , Antoine Laurent , Wei-Ning Hsu , Jan Chorowski , Adrian Lancucki , Ricard Marxer , James Glass

In recent years, pre-trained large language models (LLMs) have demonstrated remarkable efficiency in achieving an inference-time few-shot learning capability known as in-context learning. However, existing literature has highlighted the…

计算与语言 · 计算机科学 2024-02-14 Xinyi Wang , Wanrong Zhu , Michael Saxon , Mark Steyvers , William Yang Wang

Latent force models are a class of hybrid models for dynamic systems, combining simple mechanistic models with flexible Gaussian process (GP) perturbations. An extension of this framework to include multiplicative interactions between the…

机器学习 · 统计学 2019-01-01 Daniel J. Tait , Bruce J. Worton

Latent dynamical models are commonly used to learn the distribution of a latent dynamical process that represents a sequence of noisy data samples. However, producing samples from such models with high fidelity is challenging due to the…

机器学习 · 计算机科学 2023-08-17 Mohammad R. Rezaei

Gaussian processes (GPs), or distributions over arbitrary functions in a continuous domain, can be generalized to the multi-output case: a linear model of coregionalization (LMC) is one approach. LMCs estimate and exploit correlations…

机器学习 · 统计学 2017-10-24 Vladimir Feinberg , Li-Fang Cheng , Kai Li , Barbara E Engelhardt

We propose a novel probabilistic framework, termed LVM-GP, for uncertainty quantification in solving forward and inverse partial differential equations (PDEs) with noisy data. The core idea is to construct a stochastic mapping from the…

机器学习 · 统计学 2025-07-31 Xiaodong Feng , Ling Guo , Xiaoliang Wan , Hao Wu , Tao Zhou , Wenwen Zhou

We present a multi-task learning formulation for Deep Gaussian processes (DGPs), through non-linear mixtures of latent processes. The latent space is composed of private processes that capture within-task information and shared processes…

机器学习 · 统计学 2020-02-25 Ayman Boustati , Theodoros Damoulas , Richard S. Savage

Conditional Density Estimation (CDE) models deal with estimating conditional distributions. The conditions imposed on the distribution are the inputs of the model. CDE is a challenging task as there is a fundamental trade-off between model…

机器学习 · 统计学 2018-10-31 Vincent Dutordoir , Hugh Salimbeni , Marc Deisenroth , James Hensman

Multimodal learning aims to discover the relationship between multiple modalities. It has become an important research topic due to extensive multimodal applications such as cross-modal retrieval. This paper attempts to address the modality…

机器学习 · 计算机科学 2019-08-15 Guoli Song , Shuhui Wang , Qingming Huang , Qi Tian

Latent variable models (LVMs) learn probabilistic models of data manifolds lying in an \emph{ambient} Euclidean space. In a number of applications, a priori known spatial constraints can shrink the ambient space into a considerably smaller…

机器学习 · 统计学 2019-02-26 Anton Mallasto , Søren Hauberg , Aasa Feragen

Learning of low dimensional structure in multidimensional data is a canonical problem in machine learning. One common approach is to suppose that the observed data are close to a lower-dimensional smooth manifold. There are a rich variety…

机器学习 · 统计学 2015-06-12 Ye Wang , David B. Dunson

Multimodal generative models have recently gained significant attention for their ability to learn representations across various modalities, enhancing joint and cross-generation coherence. However, most existing works use standard Gaussian…

机器学习 · 计算机科学 2024-10-01 Shiyu Yuan , Jiali Cui , Hanao Li , Tian Han

Context-aware recommender systems (CARS) have gained increasing attention due to their ability to utilize contextual information. Compared to traditional recommender systems, CARS are, in general, able to generate more accurate…

机器学习 · 计算机科学 2019-12-23 Wei Huang , Richard Yi Da Xu

Aggregate data often appear in various fields such as socio-economics and public security. The aggregate data are associated not with points but with supports (e.g., spatial regions in a city). Since the supports may have various…

A latent function decomposition method is proposed for forecasting the capacity of lithium-ion battery cells. The method uses the Multi-Output Gaussian Process, a generative machine learning framework for multi-task and transfer learning.…

信号处理 · 电气工程与系统科学 2021-12-28 Abdallah A. Chehade , Ala A. Hussein

This work considers estimation and forecasting in a multivariate, possibly high-dimensional count time series model constructed from a transformation of a latent Gaussian dynamic factor series. The estimation of the latent model parameters…

统计方法学 · 统计学 2025-04-07 Younghoon Kim , Marie-Christine Düker , Zachary F. Fisher , Vladas Pipiras