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Tensor ring (TR) decomposition is a powerful tool for exploiting the low-rank nature of multiway data and has demonstrated great potential in a variety of important applications. In this paper, nonnegative tensor ring (NTR) decomposition…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Yuyuan Yu , Guoxu Zhou , Ning Zheng , Shengli Xie , Qibin Zhao

Complex manipulation tasks can contain various execution branches of primitive skills in sequence or in parallel under different scenarios. Manual specifications of such branching conditions and associated skill parameters are not only…

Robotics · Computer Science 2021-09-21 Meng Guo , Mathias Bürger

The fully-connected tensor network (FCTN) decomposition has gained prominence in the field of tensor completion owing to its powerful capacity to capture the low-rank characteristics of tensors. Nevertheless, the recovery of local details…

Numerical Analysis · Mathematics 2025-10-28 Wenchao Xie , Qingsong Wang , Chengcheng Yan , Zheng Peng

Tree tensor networks (TTNs) offer powerful models for image classification. While these TTN image classifiers already show excellent performance on classical hardware, embedding them into quantum neural networks (QNNs) may further improve…

Quantum Physics · Physics 2026-01-28 Keisuke Murota , Takumi Kobori

Low-rank modeling plays a pivotal role in signal processing and machine learning, with applications ranging from collaborative filtering, video surveillance, medical imaging, to dimensionality reduction and adaptive filtering. Many modern…

Machine Learning · Statistics 2018-05-04 Yudong Chen , Yuejie Chi

Graph Neural Networks (GNNs) have been widely applied to various fields due to their powerful representations of graph-structured data. Despite the success of GNNs, most existing GNNs are designed to learn node representations on the fixed…

Machine Learning · Computer Science 2021-06-14 Seongjun Yun , Minbyul Jeong , Sungdong Yoo , Seunghun Lee , Sean S. Yi , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Graph Neural Networks (GNNs) are a framework for graph representation learning, where a model learns to generate low dimensional node embeddings that encapsulate structural and feature-related information. GNNs are usually trained in an…

Machine Learning · Computer Science 2020-12-15 Davide Buffelli , Fabio Vandin

State-of-the-art named entity recognition (NER) systems have been improving continuously using neural architectures over the past several years. However, many tasks including NER require large sets of annotated data to achieve such…

Machine Learning · Computer Science 2020-01-22 Parminder Bhatia , Kristjan Arumae , Busra Celikkaya

Tensor networks developed in the context of condensed matter physics try to approximate order-$N$ tensors with a reduced number of degrees of freedom that is only polynomial in $N$ and arranged as a network of partially contracted smaller…

Machine Learning · Computer Science 2025-01-07 Hao Chen , Thomas Barthel

Tensor network structure search (TN-SS) aims to automatically discover optimal network topologies and rank configurations for efficient tensor decomposition in high-dimensional data representation. Despite recent advances, existing TN-SS…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Maolin Wang , Bowen Yu , Sheng Zhang , Linjie Mi , Wanyu Wang , Yiqi Wang , Pengyue Jia , Xuetao Wei , Zenglin Xu , Ruocheng Guo , Xiangyu Zhao

In this paper we study the problem of learning the weights of a deep convolutional neural network. We consider a network where convolutions are carried out over non-overlapping patches with a single kernel in each layer. We develop an…

Machine Learning · Computer Science 2018-05-18 Samet Oymak , Mahdi Soltanolkotabi

We propose a new approach, called as functional deep neural network (FDNN), for classifying multi-dimensional functional data. Specifically, a deep neural network is trained based on the principle components of the training data which shall…

Machine Learning · Statistics 2022-05-19 Shuoyang Wang , Guanqun Cao , Zuofeng Shang

When developing deep learning models, we usually decide what task we want to solve then search for a model that generalizes well on the task. An intriguing question would be: what if, instead of fixing the task and searching in the model…

Machine Learning · Computer Science 2022-12-02 Andrei Atanov , Andrei Filatov , Teresa Yeo , Ajay Sohmshetty , Amir Zamir

With the advent of deep learning, many dense prediction tasks, i.e. tasks that produce pixel-level predictions, have seen significant performance improvements. The typical approach is to learn these tasks in isolation, that is, a separate…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Simon Vandenhende , Stamatios Georgoulis , Wouter Van Gansbeke , Marc Proesmans , Dengxin Dai , Luc Van Gool

Multi-task learning (MTL) is a methodology that aims to improve the general performance of estimation and prediction by sharing common information among related tasks. In the MTL, there are several assumptions for the relationships and…

Methodology · Statistics 2023-04-27 Akira Okazaki , Shuichi Kawano

Networks are a powerful tool to model complex systems, and the definition of many Graph Neural Networks (GNN), Deep Learning algorithms that can handle networks, has opened a new way to approach many real-world problems that would be hardly…

Machine Learning · Computer Science 2021-09-28 Marco Grassia , Manlio De Domenico , Giuseppe Mangioni

Guided depth super-resolution (GDSR) is an essential topic in multi-modal image processing, which reconstructs high-resolution (HR) depth maps from low-resolution ones collected with suboptimal conditions with the help of HR RGB images of…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Zixiang Zhao , Jiangshe Zhang , Shuang Xu , Zudi Lin , Hanspeter Pfister

Deep learning has emerged as a compelling framework for scientific and engineering computing, motivating growing interest in neural network-based solvers for partial differential equations (PDEs). Within this landscape, network…

Numerical Analysis · Mathematics 2026-04-06 Tao Cheng , Lili Ju , Zhonghua Qiao , Xiaoping Zhang

We propose a novel class of neural network-like parametrized functions, i.e., general transformation neural networks (GTNNs), for high-dimensional approximation. Conventional deep neural networks sometimes perform less accurately on…

Numerical Analysis · Mathematics 2026-02-25 Xiaoyang Wang , Yiqi Gu

When faced with learning a set of inter-related tasks from a limited amount of usable data, learning each task independently may lead to poor generalization performance. Multi-Task Learning (MTL) exploits the latent relations between tasks…

Machine Learning · Computer Science 2015-08-14 Niloofar Yousefi , Michael Georgiopoulos , Georgios C. Anagnostopoulos
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