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Approximation of non-linear kernels using random feature maps has become a powerful technique for scaling kernel methods to large datasets. We propose $\textit{Tensor Sketch}$, an efficient random feature map for approximating polynomial…

数据结构与算法 · 计算机科学 2025-05-20 Ninh Pham , Rasmus Pagh

We use graphical methods to probe neural nets that classify images. Plots of t-SNE outputs at successive layers in a network reveal increasingly organized arrangement of the data points. They can also reveal how a network can diminish or…

机器学习 · 计算机科学 2021-07-28 Christopher R. Hoyt , Art B. Owen

Network alignment is the task of establishing one-to-one correspondences between the nodes of different graphs. Although finding a plethora of applications in high-impact domains, this task is known to be NP-hard in its general form.…

机器学习 · 计算机科学 2024-11-20 Jiashu He , Charilaos I. Kanatsoulis , Alejandro Ribeiro

The deep neural network suffers from many fundamental issues in machine learning. For example, it often gets trapped into a local minimum in training, and its prediction uncertainty is hard to be assessed. To address these issues, we…

机器学习 · 统计学 2022-01-17 Yan Sun , Faming Liang

In this paper we present the theoretical framework needed to justify the use of a kernel-based collocation method (meshfree approximation method) to estimate the solution of high-dimensional stochastic partial differential equations…

数值分析 · 数学 2012-09-11 Igor Cialenco , Gregory E. Fasshauer , Qi Ye

Biomedical research often produces high-dimensional data confounded by batch effects such as systematic experimental variations, different protocols and subject identifiers. Without proper correction, low-dimensional representation of…

Edge machine learning involves the deployment of learning algorithms at the wireless network edge so as to leverage massive mobile data for enabling intelligent applications. The mainstream edge learning approach, federated learning, has…

信息论 · 计算机科学 2020-06-24 Yuqing Du , Sheng Yang , Kaibin Huang

We introduce a new coarse-graining algorithm, tensor network skeletonization, for the numerical computation of tensor networks. This approach utilizes a structure-preserving skeletonization procedure to remove short-range correlations…

数值分析 · 数学 2016-07-05 Lexing Ying

In recent years, hyperspectral imaging, also known as imaging spectroscopy, has been paid an increasing interest in geoscience and remote sensing community. Hyperspectral imagery is characterized by very rich spectral information, which…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Danfeng Hong , Jing Yao , Xin Wu , Jocelyn Chanussot , Xiao Xiang Zhu

Accurate and automatic organ segmentation from 3D radiological scans is an important yet challenging problem for medical image analysis. Specifically, the pancreas demonstrates very high inter-patient anatomical variability in both its…

计算机视觉与模式识别 · 计算机科学 2017-02-02 Holger R. Roth , Le Lu , Nathan Lay , Adam P. Harrison , Amal Farag , Andrew Sohn , Ronald M. Summers

Nowadays, many modern applications require heterogeneous tabular data, which is still a challenging task in terms of regression and classification. Many approaches have been proposed to adapt neural networks for this task, but still,…

机器学习 · 计算机科学 2023-11-27 Wolfgang Fuhl

In this paper, we carry out numerical analysis to prove convergence of a novel sample-wise back-propagation method for training a class of stochastic neural networks (SNNs). The structure of the SNN is formulated as discretization of a…

数值分析 · 数学 2022-12-20 Richard Archibald , Feng Bao , Yanzhao Cao , Hui Sun

Representing the nodes of continuous-time temporal graphs in a low-dimensional latent space has wide-ranging applications, from prediction to visualization. Yet, analyzing continuous-time relational data with timestamped interactions…

机器学习 · 计算机科学 2024-05-28 Raphaël Romero , Jefrey Lijffijt , Riccardo Rastelli , Marco Corneli , Tijl De Bie

Recent advancements in discrete image generation showed that scaling the VQ codebook size significantly improves reconstruction fidelity. However, training generative models with a large VQ codebook remains challenging, typically requiring…

计算机视觉与模式识别 · 计算机科学 2026-03-17 Shufan Li , Jiuxiang Gu , Kangning Liu , Zhe Lin , Aditya Grover , Jason Kuen

This paper contributes to a development of randomized methods for neural networks. The proposed learner model is generated incrementally by stochastic configuration (SC) algorithms, termed as Stochastic Configuration Networks (SCNs). In…

神经与进化计算 · 计算机科学 2018-02-14 Dianhui Wang , Ming Li

We employ several unsupervised machine learning techniques, including autoencoders, random trees embedding, and t-distributed stochastic neighboring ensemble (t-SNE), to reduce the dimensionality of, and therefore classify, raw (auxiliary)…

强关联电子 · 物理学 2018-01-17 Kelvin Ch'ng , Nick Vazquez , Ehsan Khatami

Kernel methods provide a flexible and theoretically grounded approach to nonlinear and nonparametric learning. While memory and run-time requirements hinder their applicability to large datasets, many low-rank kernel approximations, such as…

机器学习 · 统计学 2024-04-15 Mateus P. Otto , Rafael Izbicki

In this paper, we propose a novel kernel stochastic gradient descent (SGD) algorithm for large-scale supervised learning with general losses. Compared to traditional kernel SGD, our algorithm improves efficiency and scalability through an…

机器学习 · 计算机科学 2026-04-28 Jinhui Bai , Andreas Christmann , Lei Shi

Word embeddings are the interface between the world of discrete units of text processing and the continuous, differentiable world of neural networks. In this work, we examine various random and pretrained initialization methods for…

计算与语言 · 计算机科学 2017-11-28 Tom Kocmi , Ondřej Bojar

We propose two new techniques for training Generative Adversarial Networks (GANs). Our objectives are to alleviate mode collapse in GAN and improve the quality of the generated samples. First, we propose neighbor embedding, a manifold…

计算机视觉与模式识别 · 计算机科学 2018-11-06 Ngoc-Trung Tran , Tuan-Anh Bui , Ngai-Man Cheung