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This work introduces a novel approach for generating conditional probabilistic rainfall forecasts with temporal and spatial dependence. A two-step procedure is employed. Firstly, marginal location-specific distributions are jointly…

统计方法学 · 统计学 2025-03-31 David Huk , Rilwan A. Adewoyin , Ritabrata Dutta

Most brain disorders are very heterogeneous in terms of their underlying biology and developing analysis methods to model such heterogeneity is a major challenge. A promising approach is to use probabilistic regression methods to estimate…

机器学习 · 统计学 2018-12-03 Seyed Mostafa Kia , Christian F. Beckmann , Andre F. Marquand

In decision-making systems, it is important to have classifiers that have calibrated uncertainties, with an optimisation objective that can be used for automated model selection and training. Gaussian processes (GPs) provide uncertainty…

机器学习 · 统计学 2020-03-05 Vincent Dutordoir , Mark van der Wilk , Artem Artemev , James Hensman

This paper focuses on the problem of 3D human reconstruction from 2D evidence. Although this is an inherently ambiguous problem, the majority of recent works avoid the uncertainty modeling and typically regress a single estimate for a given…

计算机视觉与模式识别 · 计算机科学 2021-08-27 Nikos Kolotouros , Georgios Pavlakos , Dinesh Jayaraman , Kostas Daniilidis

When characterizing materials, it can be important to not only predict their mechanical properties, but also to estimate the probability distribution of these properties across a set of samples. Constitutive neural networks allow for the…

计算工程、金融与科学 · 计算机科学 2025-03-18 Jeremy A. McCulloch , Ellen Kuhl

Recent advances in sensing and imaging technologies have enabled the collection of high-dimensional spatiotemporal data across complex geometric domains. However, effective modeling of such data remains challenging due to irregular spatial…

机器学习 · 计算机科学 2025-10-16 Xizhuo Zhang , Bing Yao

It is now known that an extended Gaussian process model equipped with rescaling can adapt to different smoothness levels of a function valued parameter in many nonparametric Bayesian analyses, offering a posterior convergence rate that is…

统计理论 · 数学 2011-12-06 Surya T. Tokdar

Stochastic-sampling-based Generative Neural Networks, such as Restricted Boltzmann Machines and Generative Adversarial Networks, are now used for applications such as denoising, image occlusion removal, pattern completion, and motion…

机器学习 · 计算机科学 2019-10-29 Alexander Potapov , Ian Colbert , Ken Kreutz-Delgado , Alexander Cloninger , Srinjoy Das

Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

神经与进化计算 · 计算机科学 2024-01-12 Govind Gandhi

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 计算机科学 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 统计学 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

3D Gaussian Splatting (3DGS) has emerged as a powerful approach for novel view synthesis. However, the number of Gaussian primitives often grows substantially during training as finer scene details are reconstructed, leading to increased…

图像与视频处理 · 电气工程与系统科学 2026-05-13 Hung Nguyen , An Le , Truong Nguyen

State-space graphical models and the variational autoencoder framework provide a principled apparatus for learning dynamical systems from data. State-of-the-art probabilistic approaches are often able to scale to large problems at the cost…

机器学习 · 统计学 2024-11-05 Matthew Dowling , Yuan Zhao , Il Memming Park

Heteroscedastic regression models a Gaussian variable's mean and variance as a function of covariates. Parametric methods that employ neural networks for these parameter maps can capture complex relationships in the data. Yet, optimizing…

Large-scale Gaussian process inference has long faced practical challenges due to time and space complexity that is superlinear in dataset size. While sparse variational Gaussian process models are capable of learning from large-scale data,…

机器学习 · 统计学 2018-01-23 Ching-An Cheng , Byron Boots

High dimensional time series are endemic in applications of machine learning such as robotics (sensor data), computational biology (gene expression data), vision (video sequences) and graphics (motion capture data). Practical nonlinear…

机器学习 · 统计学 2011-07-26 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

Graphical models are widely used in scienti fic and engineering research to represent conditional independence structures between random variables. In many controlled experiments, environmental changes or external stimuli can often alter…

机器学习 · 计算机科学 2012-03-19 Bai Zhang , Yue Wang

We introduce Gaussian Garments, a novel approach for reconstructing realistic simulation-ready garment assets from multi-view videos. Our method represents garments with a combination of a 3D mesh and a Gaussian texture that encodes both…

计算机视觉与模式识别 · 计算机科学 2024-09-13 Boxiang Rong , Artur Grigorev , Wenbo Wang , Michael J. Black , Bernhard Thomaszewski , Christina Tsalicoglou , Otmar Hilliges

This paper proposes a new high dimensional regression method by merging Gaussian process regression into a variational autoencoder framework. In contrast to other regression methods, the proposed method focuses on the case where output…

计算机视觉与模式识别 · 计算机科学 2019-08-13 YoungJoon Yoo , Sangdoo Yun , Hyung Jin Chang , Yiannis Demiris , Jin Young Choi

In this work, we propose a novel generative model for mapping inputs to structured, high-dimensional outputs using structured conditional normalizing flows and Gaussian process regression. The model is motivated by the need to characterize…

机器学习 · 计算机科学 2022-12-16 Natalie Klein , Nishant Panda , Patrick Gasda , Diane Oyen
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