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Neural-net-induced Gaussian process (NNGP) regression inherits both the high expressivity of deep neural networks (deep NNs) as well as the uncertainty quantification property of Gaussian processes (GPs). We generalize the current NNGP to…

机器学习 · 计算机科学 2019-03-27 Guofei Pang , Liu Yang , George Em Karniadakis

The rising demand for high-performance computing (HPC) has made full-chip dynamic thermal simulation in many-core GPUs critical for optimizing performance and extending device lifespans. Proper orthogonal decomposition (POD) with Galerkin…

计算工程、金融与科学 · 计算机科学 2024-12-10 Neil He , Ming-Cheng Cheng , Yu Liu

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

Transformer, BERT and their variants have achieved great success in natural language processing. Since Transformer models are huge in size, serving these models is a challenge for real industrial applications. In this paper, we propose…

数学软件 · 计算机科学 2021-04-23 Xiaohui Wang , Ying Xiong , Yang Wei , Mingxuan Wang , Lei Li

Linear Programs (LPs) appear in a large number of applications and offloading them to the GPU is viable to gain performance. Existing work on offloading and solving an LP on GPU suggests that performance is gained from large sized LPs…

分布式、并行与集群计算 · 计算机科学 2016-09-27 Amit Gurung , Rajarshi Ray

Gaussian Processes (GPs) offer an attractive method for regression over small, structured and correlated datasets. However, their deployment is hindered by computational costs and limited guidelines on how to apply GPs beyond simple…

机器学习 · 计算机科学 2023-07-18 Kenza Tazi , Jihao Andreas Lin , Ross Viljoen , Alex Gardner , ST John , Hong Ge , Richard E. Turner

Scan (or prefix sum) is a fundamental and widely used primitive in parallel computing. In this paper, we present LightScan, a faster parallel scan primitive for CUDA-enabled GPUs, which investigates a hybrid model combining intra-block…

分布式、并行与集群计算 · 计算机科学 2016-04-19 Yongchao Liu , Srinivas Aluru

We derive a Matern Gaussian process (GP) on the vertices of a hypergraph. This enables estimation of regression models of observed or latent values associated with the vertices, in which the correlation and uncertainty estimates are…

机器学习 · 统计学 2021-06-04 Thomas Pinder , Kathryn Turnbull , Christopher Nemeth , David Leslie

Many-particle continuous-time quantum walks (CTQWs) represent a resource for several tasks in quantum technology, including quantum search algorithms and universal quantum computation. In order to design and implement CTQWs in a realistic…

量子物理 · 物理学 2017-10-02 Enrico Piccinini , Claudia Benedetti , Ilaria Siloi , Matteo G. A. Paris , Paolo Bordone

Conformal prediction (CP) is a powerful statistical framework that generates prediction intervals or sets with guaranteed coverage probability. While CP algorithms have evolved beyond traditional classifiers and regressors to sophisticated…

机器学习 · 计算机科学 2026-02-02 Jianguo Huang , Jianqing Song , Xuanning Zhou , Bingyi Jing , Hongxin Wei

The hardware ecosystem is rapidly evolving, with increasing interest in translating low-level programs across different instruction set architectures (ISAs) in a quick, flexible, and correct way to enhance the portability and longevity of…

计算与语言 · 计算机科学 2025-06-18 Ahmed Heakl , Sarim Hashmi , Chaimaa Abi , Celine Lee , Abdulrahman Mahmoud

Decoder-only Transformer models such as GPT have demonstrated exceptional performance in text generation, by autoregressively predicting the next token. However, the efficacy of running GPT on current hardware systems is bounded by low…

硬件体系结构 · 计算机科学 2024-04-16 Yuting Wu , Ziyu Wang , Wei D. Lu

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

机器学习 · 计算机科学 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

We present a versatile GPU-based parallel version of Logistic Regression (LR), aiming to address the increasing demand for faster algorithms in binary classification due to large data sets. Our implementation is a direct translation of the…

机器学习 · 计算机科学 2023-08-22 Nechba Mohammed , Mouhajir Mohamed , Sedjari Yassine

Gaussian processes are powerful models for probabilistic machine learning, but are limited in application by their $O(N^3)$ inference complexity. We propose a method for deriving parametric families of kernel functions with compact spatial…

机器学习 · 计算机科学 2020-06-09 Jarred Barber

With the increasing adoption of graph neural networks (GNNs) in the machine learning community, GPUs have become an essential tool to accelerate GNN training. However, training GNNs on very large graphs that do not fit in GPU memory is…

机器学习 · 计算机科学 2021-01-21 Seung Won Min , Kun Wu , Sitao Huang , Mert Hidayetoğlu , Jinjun Xiong , Eiman Ebrahimi , Deming Chen , Wen-mei Hwu

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

A key challenge in the practical application of Gaussian processes (GPs) is selecting a proper covariance function. The moving average, or process convolutions, construction of GPs allows some additional flexibility, but still requires…

机器学习 · 统计学 2022-10-19 Thomas M. McDonald , Magnus Ross , Michael T. Smith , Mauricio A. Álvarez

Gaussian Process (GP) regression models typically assume that residuals are Gaussian and have the same variance for all observations. However, applications with input-dependent noise (heteroscedastic residuals) frequently arise in practice,…

机器学习 · 统计学 2012-12-27 Chunyi Wang , Radford M. Neal

Data-driven soft sensors provide a potentially cost-effective and more accurate modeling approach to measure difficult-to-measure indices in industrial processes compared to mechanistic approaches. Artificial intelligence (AI) techniques,…

机器学习 · 统计学 2023-12-20 Jing Nan , Yan Qin , Wei Dai , Chau Yuen