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A recent line of works studied wide deep neural networks (DNNs) by approximating them as Gaussian Processes (GPs). A DNN trained with gradient flow was shown to map to a GP governed by the Neural Tangent Kernel (NTK), whereas earlier works…

机器学习 · 统计学 2021-12-15 Gadi Naveh , Oded Ben-David , Haim Sompolinsky , Zohar Ringel

Graph convolutional neural networks~(GCNs) have recently demonstrated promising results on graph-based semi-supervised classification, but little work has been done to explore their theoretical properties. Recently, several deep neural…

机器学习 · 计算机科学 2020-02-28 Jilin Hu , Jianbing Shen , Bin Yang , Ling Shao

We introduce new Gaussian Process (GP) high-order approximations to linear operations that are frequently used in various numerical methods. Our method employs the kernel-based GP regression modeling, a non-parametric Bayesian approach to…

计算物理 · 物理学 2025-06-09 Christopher DeGrendele , Dongwook Lee

We present a theoretically grounded Gaussian process framework that leverages neural feature maps to construct expressive kernels. We show that the learned feature map can be interpreted as an optimal low-rank approximation to a Gram matrix…

机器学习 · 统计学 2026-05-12 Anthony Stephenson

Graph Neural Networks (GNNs) are a popular approach for predicting graph structured data. As GNNs tightly entangle the input graph into the neural network structure, common explainable AI approaches are not applicable. To a large extent,…

Uncovering rationales behind predictions of graph neural networks (GNNs) has received increasing attention over recent years. Instance-level GNN explanation aims to discover critical input elements, like nodes or edges, that the target GNN…

机器学习 · 计算机科学 2023-09-06 Tianxiang Zhao , Dongsheng Luo , Xiang Zhang , Suhang Wang

Uncovering rationales behind predictions of graph neural networks (GNNs) has received increasing attention over recent years. Instance-level GNN explanation aims to discover critical input elements, like nodes or edges, that the target GNN…

机器学习 · 计算机科学 2022-12-20 Tianxiang Zhao , Dongsheng Luo , Xiang Zhang , Suhang Wang

In this work, we benchmark a variety of single- and multi-task graph neural network (GNN) models against lower-bar and higher-bar traditional machine learning approaches employing human engineered molecular features. We consider four GNN…

定量方法 · 定量生物学 2022-02-28 Fabio Broccatelli , Richard Trager , Michael Reutlinger , George Karypis , Mufei Li

A long-standing goal in deep learning has been to characterize the learning behavior of black-box models in a more interpretable manner. For graph neural networks (GNNs), considerable advances have been made in formalizing what functions…

机器学习 · 计算机科学 2024-06-19 Chenxiao Yang , Qitian Wu , David Wipf , Ruoyu Sun , Junchi Yan

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

We analyze the performance of graph neural network (GNN) architectures from the perspective of random graph theory. Our approach promises to complement existing lenses on GNN analysis, such as combinatorial expressive power and worst-case…

机器学习 · 计算机科学 2023-10-12 Drake Brown , Trevor Garrity , Kaden Parker , Jason Oliphant , Stone Carson , Cole Hanson , Zachary Boyd

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

The wide adoption of Convolutional Neural Networks (CNNs) in applications where decision-making under uncertainty is fundamental, has brought a great deal of attention to the ability of these models to accurately quantify the uncertainty in…

Massive deployment of Graph Neural Networks (GNNs) in high-stake applications generates a strong demand for explanations that are robust to noise and align well with human intuition. Most existing methods generate explanations by…

机器学习 · 计算机科学 2022-07-14 Mohit Bajaj , Lingyang Chu , Zi Yu Xue , Jian Pei , Lanjun Wang , Peter Cho-Ho Lam , Yong Zhang

Graph Neural Networks (GNNs) show strong promise for circuit analysis, but scaling to modern large-scale circuit graphs is limited by GPU memory and training cost, especially for deep models. We revisit deep GNNs for circuit graphs and show…

机器学习 · 计算机科学 2026-03-31 Yuebo Luo , Shiyang Li , Yifei Feng , Vishal Kancharla , Shaoyi Huang , Caiwen Ding

With the rapid deployment of graph neural networks (GNNs) based techniques into a wide range of applications such as link prediction, node classification, and graph classification the explainability of GNNs has become an indispensable…

机器学习 · 计算机科学 2023-01-03 Yiqiao Li , Jianlong Zhou , Boyuan Zheng , Fang Chen

Pruning is one of the predominant approaches for compressing deep neural networks (DNNs). Lately, coresets (provable data summarizations) were leveraged for pruning DNNs, adding the advantage of theoretical guarantees on the trade-off…

机器学习 · 计算机科学 2022-09-20 Murad Tukan , Loay Mualem , Alaa Maalouf

We propose two methods for exact Gaussian process (GP) inference and learning on massive image, video, spatial-temporal, or multi-output datasets with missing values (or "gaps") in the observed responses. The first method ignores the gaps…

机器学习 · 统计学 2018-08-13 Trefor W. Evans , Prasanth B. Nair

Systems based on artificial neural networks (ANNs) have achieved state-of-the-art results in many natural language processing tasks. Although ANNs do not require manually engineered features, ANNs have many hyperparameters to be optimized.…

计算与语言 · 计算机科学 2016-09-29 Franck Dernoncourt , Ji Young Lee

Pre-training on graph neural networks (GNNs) aims to learn transferable knowledge for downstream tasks with unlabeled data, and it has recently become an active research area. The success of graph pre-training models is often attributed to…

机器学习 · 计算机科学 2023-11-22 Jiarong Xu , Renhong Huang , Xin Jiang , Yuxuan Cao , Carl Yang , Chunping Wang , Yang Yang