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Canonical Polyadic (CP) tensor decomposition is a workhorse algorithm for discovering underlying low-dimensional structure in tensor data. This is accomplished in conventional CP decomposition by fitting a low-rank tensor to data with…

Numerical Analysis · Mathematics 2026-01-12 Alex Mulrooney , David Hong

Contrastive learning methods based on InfoNCE loss are popular in node representation learning tasks on graph-structured data. However, its reliance on data augmentation and its quadratic computational complexity might lead to inconsistency…

Machine Learning · Computer Science 2022-12-12 Hengrui Zhang , Qitian Wu , Yu Wang , Shaofeng Zhang , Junchi Yan , Philip S. Yu

Graph signal processing has become an essential tool for analyzing data structured on irregular domains. While conventional graph shift operators (GSOs) are effective for certain tasks, they inherently lack flexibility in modeling…

Machine Learning · Computer Science 2025-08-26 Yunyan Zheng , Zhichao Zhang , Wei Yao

X-ray imaging dose from serial cone-beam CT (CBCT) scans raises a clinical concern in most image guided radiation therapy procedures. It is the goal of this paper to develop a fast GPU-based algorithm to reconstruct high quality CBCT images…

Medical Physics · Physics 2015-05-19 Xun Jia , Bin Dong , Yifei Lou , Steve B. Jiang

A rigorous theoretical framework is developed for a generalized local frame transformation theory (GLFT). The GLFT is applicable to the following systems: to Rydberg atoms or molecules in an electric field, or to negative ions in any…

Atomic Physics · Physics 2017-11-01 P. Giannakeas , Chris H. Greene , F. Robicheaux

We propose a recipe on how to build a general, powerful, scalable (GPS) graph Transformer with linear complexity and state-of-the-art results on a diverse set of benchmarks. Graph Transformers (GTs) have gained popularity in the field of…

Machine Learning · Computer Science 2023-01-18 Ladislav Rampášek , Mikhail Galkin , Vijay Prakash Dwivedi , Anh Tuan Luu , Guy Wolf , Dominique Beaini

The geometric multigrid method (GMG) is one of the most efficient solving techniques for discrete algebraic systems arising from elliptic partial differential equations. GMG utilizes a hierarchy of grids or discretizations and reduces the…

Numerical Analysis · Mathematics 2013-01-14 Chunsheng Feng , Shi Shu , Jinchao Xu , Chen-Song Zhang

In this paper, we develop a method which we call OnlineGCP for computing the Generalized Canonical Polyadic (GCP) tensor decomposition of streaming data. GCP differs from traditional canonical polyadic (CP) tensor decompositions as it…

Numerical Analysis · Mathematics 2021-10-28 Eric Phipps , Nick Johnson , Tamara G. Kolda

Guidance in image generation steers models towards higher-quality or more targeted outputs, typically achieved in Diffusion Models (DMs) via Classifier-free Guidance (CFG). However, recent Consistency Models (CMs), which offer fewer…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Chia-Hong Hsu , Shiu-hong Kao , Randall Balestriero

Recently the Transformer structure has shown good performances in graph learning tasks. However, these Transformer models directly work on graph nodes and may have difficulties learning high-level information. Inspired by the vision…

Machine Learning · Computer Science 2023-04-11 Han Gao , Xu Han , Jiaoyang Huang , Jian-Xun Wang , Li-Ping Liu

Linear Graph Convolutional Networks (GCNs) are used to classify the node in the graph data. However, we note that most existing linear GCN models perform neural network operations in Euclidean space, which do not explicitly capture the…

Machine Learning · Computer Science 2024-06-17 Qiuyu Liang , Weihua Wang , Feilong Bao , Guanglai Gao

Dynamic graphs (DG) are often used to describe evolving interactions between nodes in real-world applications. Temporal patterns are a natural feature of DGs and are also key to representation learning. However, existing dynamic GCN models…

Machine Learning · Computer Science 2024-08-07 Ling Wang , Yixiang Huang , Hao Wu

This work proposes a new algorithm for solving the graph-fused lasso (GFL), a method for parameter estimation that operates under the assumption that the signal tends to be locally constant over a predefined graph structure. The proposed…

Optimization and Control · Mathematics 2019-08-08 Feng Yu , Yi Yang , Teng Zhang

Graph Transformers (GTs) have shown advantages in numerous graph structure tasks but their self-attention mechanism ignores the generalization bias of graphs, with existing methods mainly compensating for this bias from aspects like…

Machine Learning · Computer Science 2025-04-29 Yonghui Zhai , Yang Zhang , Minghao Shang , Lihua Pang , Yaxin Ren

We present a new and easy-to-implement sequential sampling method for CGMY processes with either finite or infinite variation, exploiting the time change representation of the CGMY model and a decomposition of its time change. We find that…

Computational Finance · Quantitative Finance 2018-08-23 Chengwei Zhang , Zhiyuan Zhang

Convolutional neural networks have become an essential element of spatial deep learning systems. In the prevailing architecture, the convolution operation is performed with Fast Fourier Transforms (FFT) electronically in GPUs. The…

Emerging Technologies · Computer Science 2017-09-01 Jonathan George , Hani Nejadriahi , Volker Sorger

We present a two-dimensional (2-D) fitting algorithm (GALFIT, Version 3) with new capabilities to study the structural components of galaxies and other astronomical objects in digital images. Our technique improves on previous 2-D fitting…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Chien Y. Peng , Luis C. Ho , Chris D. Impey , Hans-Walter Rix

In this thesis, a completely revisited data protection scheme based on selective encryption is presented. First, this new scheme is agnostic in term of data format, second it has a parallel architecture using GPGPU allowing performance to…

Cryptography and Security · Computer Science 2018-03-14 Han Qiu

In this paper, a new fast and low complexity transform is introduced for orthogonal frequency division multiplexing (OFDM) wireless systems. The new transform combines the effects of fast complex-Walsh-Hadamard transform (CHT) and the fast…

Signal Processing · Electrical Eng. & Systems 2023-10-30 Said Boussakta , Mounir T. Hamood , Mohammed Sh. Ahmed

Graph Neural Networks (GNNs) have demonstrated remarkable results in various real-world applications, including drug discovery, object detection, social media analysis, recommender systems, and text classification. In contrast to their vast…

Machine Learning · Computer Science 2026-02-04 Nícolas Roque dos Santos , Dawon Ahn , Diego Minatel , Alneu de Andrade Lopes , Evangelos E. Papalexakis