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Deep Learning (DL) methods have emerged as one of the most powerful tools for functional approximation and prediction. While the representation properties of DL have been well studied, uncertainty quantification remains challenging and…

机器学习 · 统计学 2022-10-25 Yuexi Wang , Nicholas G. Polson , Vadim O. Sokolov

The overparameterization of variational quantum circuits, as a model of Quantum Neural Networks (QNN), not only improves their trainability but also serves as a method for evaluating the property of a given ansatz by investigating their…

量子物理 · 物理学 2023-05-23 Ali Rad

The inductive biases of trained neural networks are difficult to understand and, consequently, to adapt to new settings. We study the inductive biases of linearizations of neural networks, which we show to be surprisingly good summaries of…

Training deep graph neural networks (GNNs) poses a challenging task, as the performance of GNNs may suffer from the number of hidden message-passing layers. The literature has focused on the proposals of {over-smoothing} and…

机器学习 · 统计学 2023-02-27 Yirui Liu , Xinghao Qiao , Liying Wang , Jessica Lam

Operator learning techniques have recently emerged as a powerful tool for learning maps between infinite-dimensional Banach spaces. Trained under appropriate constraints, they can also be effective in learning the solution operator of…

机器学习 · 计算机科学 2021-10-13 Sifan Wang , Hanwen Wang , Paris Perdikaris

Deep neural networks (DNNs) have achieved extraordinary performance in solving different tasks in various fields. However, the conventional DNN model is steadily approaching the ground-truth value through loss backpropagation. In some…

机器学习 · 计算机科学 2021-11-23 Dou Huang , Haoran Zhang , Xuan Song , Ryosuke Shibasaki

We introduce a scalable method to approximate the kernel of the Linearized Laplace Approximation (LLA). For this, we use a surrogate deep neural network (DNN) that learns a compact feature representation whose inner product replicates the…

机器学习 · 计算机科学 2026-02-04 Luis A. Ortega , Simón Rodríguez-Santana , Daniel Hernández-Lobato

In this paper we propose solving localized multiple kernel learning (LMKL) using LMKL-Net, a feedforward deep neural network. In contrast to previous works, as a learning principle we propose {\em parameterizing} both the gating function…

机器学习 · 统计学 2018-05-23 Ziming Zhang

Graph representation learning has now become the de facto standard when handling graph-structured data, with the framework of message-passing graph neural networks (MPNN) being the most prevailing algorithmic tool. Despite its popularity,…

Graph Neural Networks (GNNs) have emerged as a dominant paradigm for graph classification. Specifically, most existing GNNs mainly rely on the message passing strategy between neighbor nodes, where the expressivity is limited by the…

机器学习 · 计算机科学 2025-12-12 Lin Du , Lu Bai , Jincheng Li , Lixin Cui , Hangyuan Du , Lichi Zhang , Yuting Chen , Zhao Li

In this paper, we introduce Deep Probabilistic Ensembles (DPEs), a scalable technique that uses a regularized ensemble to approximate a deep Bayesian Neural Network (BNN). We do so by incorporating a KL divergence penalty term into the…

机器学习 · 统计学 2018-12-04 Kashyap Chitta , Jose M. Alvarez , Adam Lesnikowski

Deep Neural Networks (DNNs) show a significant impact on medical imaging. One significant problem with adopting DNNs for skin cancer classification is that the class frequencies in the existing datasets are imbalanced. This problem hinders…

图像与视频处理 · 电气工程与系统科学 2019-10-29 Ibrahim Saad Ali , Mamdouh Farouk Mohamed , Yousef Bassyouni Mahdy

In real applications, different computation-resource devices need different-depth networks (e.g., ResNet-18/34/50) with high-accuracy. Usually, existing methods either design multiple networks and train them independently, or construct…

计算机视觉与模式识别 · 计算机科学 2021-08-11 Qi Zhao , Shuchang Lyu , Zhiwei Zhang , Ting-Bing Xu , Guangliang Cheng

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

机器学习 · 计算机科学 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Bayesian methods have shown success in deep learning applications. For example, in predictive tasks, Bayesian neural networks leverage Bayesian reasoning of model uncertainty to improve the reliability and uncertainty awareness of deep…

机器学习 · 计算机科学 2025-10-21 Wenlong Chen , Bolian Li , Ruqi Zhang , Yingzhen Li

Neural models, with their ability to provide novel representations, have shown promising results in prediction tasks in healthcare. However, patient demographics, medical technology, and quality of care change over time. This often leads to…

机器学习 · 计算机科学 2022-12-02 Miguel Rios , Ameen Abu-Hanna

Although physics-informed neural networks (PINNs) have shown great potential in dealing with nonlinear partial differential equations (PDEs), it is common that PINNs will suffer from the problem of insufficient precision or obtaining…

机器学习 · 计算机科学 2024-10-07 Feilong Jiang , Xiaonan Hou , Min Xia

Graph neural networks (GNNs) integrate deep architectures and topological structure modeling in an effective way. However, the performance of existing GNNs would decrease significantly when they stack many layers, because of the…

机器学习 · 计算机科学 2021-07-07 Kaixiong Zhou , Xiao Huang , Daochen Zha , Rui Chen , Li Li , Soo-Hyun Choi , Xia Hu

While kernel methods and Graph Neural Networks offer complementary strengths, integrating the two has posed challenges in efficiency and scalability. The Graph Neural Tangent Kernel provides a theoretical bridge by interpreting GNNs through…

机器学习 · 计算机科学 2025-07-17 Lin Wang , Shijie Wang , Sirui Huang , Qing Li

Deep learning (DL) has demonstrated its powerful capabilities in the field of image inpainting. The DL-based image inpainting approaches can produce visually plausible results, but often generate various unpleasant artifacts, especially in…

计算机视觉与模式识别 · 计算机科学 2020-09-03 Haiwei Wu , Jiantao Zhou , Yuanman Li
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