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Bayesian inference for Markov processes has become increasingly relevant in recent years. Problems of this type often have intractable likelihoods and prior knowledge about model rate parameters is often poor. Markov Chain Monte Carlo…

统计计算 · 统计学 2014-10-23 Jamie Owen , Darren J. Wilkinson , Colin S. Gillespie

Gaussian processes (GPs) are Bayesian nonparametric generative models that provide interpretability of hyperparameters, admit closed-form expressions for training and inference, and are able to accurately represent uncertainty. To model…

机器学习 · 统计学 2018-03-21 Gonzalo Rios , Felipe Tobar

The exponential growth of complex data demands fully automatic clustering. Gaussian mixture models (GMMs) provide uncertainty-aware grouping but often require expertise to specify hyperparameters, e.g., component count and covariance…

机器学习 · 计算机科学 2025-09-10 Tingshan Liu , Thomas L. Athey , Benjamin D. Pedigo , Joshua T. Vogelstein

We present a GPU-accelerated implementation of the gravitational-wave Bayesian inference pipeline for parameter estimation and model comparison. Specifically, we implement the `acceptance-walk' sampling method, a cornerstone algorithm for…

广义相对论与量子宇宙学 · 物理学 2025-09-05 Metha Prathaban , David Yallup , James Alvey , Ming Yang , Will Templeton , Will Handley

Optical architectures have been emerging as an energy-efficient and high-throughput hardware platform to accelerate computationally intensive general matrix-matrix multiplications (GEMMs) in modern machine learning (ML) algorithms. However,…

新兴技术 · 计算机科学 2022-04-01 Jichao Fan , Yingheng Tang , Weilu Gao

Gaussian processes (GPs) are Bayesian non-parametric models useful in a myriad of applications. Despite their popularity, the cost of GP predictions (quadratic storage and cubic complexity with respect to the number of training points)…

机器学习 · 计算机科学 2022-05-24 Alec M. Dunton , Benjamin W. Priest , Amanda Muyskens

Gaussian processes (GPs) provide flexible distributions over functions, with inductive biases controlled by a kernel. However, in many applications Gaussian processes can struggle with even moderate input dimensionality. Learning a low…

机器学习 · 计算机科学 2020-01-01 Ian A. Delbridge , David S. Bindel , Andrew Gordon Wilson

Machine learning (ML) involves private data and proprietary model parameters. MPC-based ML allows multiple parties to collaboratively run an ML workload without sharing their private data or model parameters using multi-party computing…

密码学与安全 · 计算机科学 2025-11-26 Jinyu Liu , Gang Tan , Kiwan Maeng

The use of Gaussian processes (GPs) is supported by efficient sampling algorithms, a rich methodological literature, and strong theoretical grounding. However, due to their prohibitive computation and storage demands, the use of exact GPs…

统计理论 · 数学 2022-07-27 Kelly R. Moran , Matthew W. Wheeler

Kernel methods have revolutionized the fields of pattern recognition and machine learning. Their success, however, critically depends on the choice of kernel parameters. Using Gaussian process (GP) classification as a working example, this…

统计方法学 · 统计学 2014-05-27 Maurizio Filippone

Many scientific computing problems can be reduced to Matrix-Matrix Multiplications (MMM), making the General Matrix Multiply (GEMM) kernels in the Basic Linear Algebra Subroutine (BLAS) of interest to the high-performance computing…

硬件体系结构 · 计算机科学 2023-05-31 Louis Ledoux , Marc Casas

Gaussian Process Motion Planning (GPMP) is a widely used framework for generating smooth trajectories within a limited compute time--an essential requirement in many robotic applications. However, traditional GPMP approaches often struggle…

机器人学 · 计算机科学 2025-04-08 Jiayun Li , Kay Pompetzki , An Thai Le , Haolei Tong , Jan Peters , Georgia Chalvatzaki

Gaussian Processes (GPs) are powerful non-parametric Bayesian regression models that allow exact posterior inference, but exhibit high computational and memory costs. In order to improve scalability of GPs, approximate posterior inference…

机器学习 · 计算机科学 2020-04-28 Martin Trapp , Robert Peharz , Franz Pernkopf , Carl E. Rasmussen

Non-conjugate Gaussian processes (NCGPs) define a flexible probabilistic framework to model categorical, ordinal and continuous data, and are widely used in practice. However, exact inference in NCGPs is prohibitively expensive for large…

机器学习 · 计算机科学 2025-04-18 Lukas Tatzel , Jonathan Wenger , Frank Schneider , Philipp Hennig

Despite the success of deep learning in computer vision and natural language processing, Gradient Boosted Decision Tree (GBDT) is yet one of the most powerful tools for applications with tabular data such as e-commerce and FinTech. However,…

机器学习 · 计算机科学 2022-01-25 ZhenZhe Ying , Zhuoer Xu , Zhifeng Li , Weiqiang Wang , Changhua Meng

We implement two novel algorithms for sparse-matrix dense-matrix multiplication (SpMM) on the GPU. Our algorithms expect the sparse input in the popular compressed-sparse-row (CSR) format and thus do not require expensive format conversion.…

分布式、并行与集群计算 · 计算机科学 2018-06-13 Carl Yang , Aydin Buluc , John D. Owens

Energy consumption of memory accesses dominates the compute energy in energy-constrained robots which require a compact 3D map of the environment to achieve autonomy. Recent mapping frameworks only focused on reducing the map size while…

机器人学 · 计算机科学 2024-01-23 Peter Zhi Xuan Li , Sertac Karaman , Vivienne Sze

Sparse General Matrix Multiply (SpGEMM) is key for various High-Performance Computing (HPC) applications such as genomics and graph analytics. Using the semiring abstraction, many algorithms can be formulated as SpGEMM, allowing…

分布式、并行与集群计算 · 计算机科学 2025-12-23 Thomas McFarland , Julian Bellavita , Giulia Guidi

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

Latent Gaussian process (GP) models are widely used in neuroscience to uncover hidden state evolutions from sequential observations, mainly in neural activity recordings. While latent GP models provide a principled and powerful solution in…

神经元与认知 · 定量生物学 2023-06-06 Matthew Dowling , Yuan Zhao , Il Memming Park