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Gaussian Processes (GPs) provide a flexible and statistically principled foundation for modelling spatiotemporal phenomena, but their $O(N^3)$ scaling makes them intractable for large datasets. Approximate methods such as variational…

机器学习 · 统计学 2026-04-01 Jhonathan Navott , Daniel Jenson , Seth Flaxman , Elizaveta Semenova

We present Flow-Induced Diagonal Gaussian Processes (FiD-GP), a compression framework that incorporates a compact inducing weight matrix to project a neural network's weight uncertainty into a lower-dimensional subspace. Critically, FiD-GP…

机器学习 · 计算机科学 2025-10-06 Moule Lin , Andrea Patane , Weipeng Jing , Shuhao Guan , Goetz Botterweck

We introduce qclab++, a light-weight, fully-templated C++ package for GPU-accelerated quantum circuit simulations. The code offers a high degree of portability as it has no external dependencies and the GPU kernels are generated through…

量子物理 · 物理学 2023-03-06 Roel Van Beeumen , Daan Camps , Neil Mehta

Loopy Belief Propagation (LBP) is a widely used approximate inference algorithm in probabilistic graphical models, with applications in computer vision, error correction codes, protein folding, program analysis, etc. However, LBP faces…

软件工程 · 计算机科学 2025-09-29 Haoyu Feng , Xin Zhang

We present MOGPTK, a Python package for multi-channel data modelling using Gaussian processes (GP). The aim of this toolkit is to make multi-output GP (MOGP) models accessible to researchers, data scientists, and practitioners alike. MOGPTK…

机器学习 · 统计学 2020-02-11 Taco de Wolff , Alejandro Cuevas , Felipe Tobar

Temporal variations of apparent magnitude, called light curves, are observational statistics of interest captured by telescopes over long periods of time. Light curves afford the exploration of Space Domain Awareness (SDA) objectives such…

天体物理仪器与方法 · 物理学 2022-09-01 Imène R. Goumiri , Alec M. Dunton , Amanda L. Muyskens , Benjamin W. Priest , Robert E. Armstrong

In many real-world applications we are interested in approximating costly functions that are analytically unknown, e.g. complex computer codes. An emulator provides a fast approximation of such functions relying on a limited number of…

统计方法学 · 统计学 2020-10-02 Hossein Mohammadi , Peter Challenor , Marc Goodfellow , Daniel Williamson

Gaussian Process Latent Variable Model (GPLVM) is a flexible framework to handle uncertain inputs in Gaussian Processes (GPs) and incorporate GPs as components of larger graphical models. Nonetheless, the standard GPLVM variational…

Gaussian processes (GPs) are non-parametric probabilistic regression models that are popular due to their flexibility, data efficiency, and well-calibrated uncertainty estimates. However, standard GP models assume homoskedastic Gaussian…

机器学习 · 计算机科学 2025-01-08 Sebastian Ament , Elizabeth Santorella , David Eriksson , Ben Letham , Maximilian Balandat , Eytan Bakshy

Transformers have increasingly become the de facto method to model sequential data with state-of-the-art performance. Due to its widespread use, being able to estimate and calibrate its modeling uncertainty is important to understand and…

机器学习 · 计算机科学 2025-03-03 Long Minh Bui , Tho Tran Huu , Duy Dinh , Tan Minh Nguyen , Trong Nghia Hoang

Gaussian processes (GPs) offer appealing properties but are costly to train at scale. Sparse variational GP (SVGP) approximations reduce cost yet still rely on Cholesky decompositions of kernel matrices, ill-suited to low-precision,…

Low-precision arithmetic has had a transformative effect on the training of neural networks, reducing computation, memory and energy requirements. However, despite its promise, low-precision arithmetic has received little attention for…

机器学习 · 计算机科学 2022-07-15 Wesley J. Maddox , Andres Potapczynski , Andrew Gordon Wilson

Gaussian processes (GPs) play an essential role in biostatistics, scientific machine learning, and Bayesian optimization for their ability to provide probabilistic predictions and model uncertainty. However, GP inference struggles to scale…

The graphics processing unit (GPU) has emerged as a powerful and cost effective processor for general performance computing. GPUs are capable of an order of magnitude more floating-point operations per second as compared to modern central…

统计计算 · 统计学 2012-07-24 Mark Franey , Pritam Ranjan , Hugh Chipman

While Gaussian processes (GPs) are the method of choice for regression tasks, they also come with practical difficulties, as inference cost scales cubic in time and quadratic in memory. In this paper, we introduce a natural and expressive…

机器学习 · 计算机科学 2018-09-13 Martin Trapp , Robert Peharz , Carl E. Rasmussen , Franz Pernkopf

Missing values are common in many real-life datasets. However, most of the current machine learning methods can not handle missing values. This means that they should be imputed beforehand. Gaussian Processes (GPs) are non-parametric models…

We develop an automated variational method for inference in models with Gaussian process (GP) priors and general likelihoods. The method supports multiple outputs and multiple latent functions and does not require detailed knowledge of the…

机器学习 · 统计学 2018-11-06 Edwin V. Bonilla , Karl Krauth , Amir Dezfouli

Core computations in Graph Neural Network (GNN) training and inference are often mapped to sparse matrix operations such as sparse-dense matrix multiplication (SpMM). These sparse operations are harder to optimize by manual tuning because…

机器学习 · 计算机科学 2024-03-25 Md Saidul Hoque Anik , Pranav Badhe , Rohit Gampa , Ariful Azad

In this work, we introduce new batching algorithms to effectively handle large contractions encountered in coupled-cluster singles and doubles (CCSD) implementations in Python on the Video Random Access Memory (VRAM) of graphical processing…

We describe our contribution as industrial stakeholders to the existing open-source GPU4PySCF project (https: //github.com/pyscf/gpu4pyscf), a GPU-accelerated Python quantum chemistry package. We have integrated GPU acceleration into other…