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Dynamic tensor data are becoming prevalent in numerous applications. Existing tensor clustering methods either fail to account for the dynamic nature of the data, or are inapplicable to a general-order tensor. Also there is often a gap…

机器学习 · 统计学 2018-09-17 Will Wei Sun , Lexin Li

Semantic segmentation necessitates approaches that learn high-level characteristics while dealing with enormous amounts of data. Convolutional neural networks (CNNs) can learn unique and adaptive features to achieve this aim. However, due…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Hasan AlMarzouqi , Lyes Saad Saoud

Autoregressive (AR) image generators offer a language-model-friendly approach to image generation by predicting discrete image tokens in a causal sequence. However, unlike diffusion models, AR models lack a mechanism to refine previous…

计算机视觉与模式识别 · 计算机科学 2026-01-29 Cheng Cheng , Lin Song , Di An , Yicheng Xiao , Xuchong Zhang , Hongbin Sun , Ying Shan

Tensor analytics lays mathematical basis for the prosperous promotion of multiway signal processing. To increase computing throughput, mainstream processors transform tensor convolutions to matrix multiplications to enhance parallelism of…

新兴技术 · 计算机科学 2023-01-11 Shaofu Xu , Jing Wang , Sicheng Yi , Weiwen Zou

ITensor is a system for programming tensor network calculations with an interface modeled on tensor diagram notation, which allows users to focus on the connectivity of a tensor network without manually bookkeeping tensor indices. The…

数学软件 · 计算机科学 2023-03-07 Matthew Fishman , Steven R. White , E. Miles Stoudenmire

Feature preserving image interpolation is an active area in image processing field. In this paper a new direct edge directed image super-resolution algorithm based on structure tensors is proposed. Using an isotropic Gaussian filter, the…

计算机视觉与模式识别 · 计算机科学 2014-12-30 Ahmadreza Baghaie , Zeyun Yu

Tensor rank and low-rank tensor decompositions have many applications in learning and complexity theory. Most known algorithms use unfoldings of tensors and can only handle rank up to $n^{\lfloor p/2 \rfloor}$ for a $p$-th order tensor in…

数据结构与算法 · 计算机科学 2015-04-23 Rong Ge , Tengyu Ma

Spectral clustering and co-clustering are well-known techniques in data analysis, and recent work has extended spectral clustering to square, symmetric tensors and hypermatrices derived from a network. We develop a new tensor spectral…

社会与信息网络 · 计算机科学 2016-03-02 Tao Wu , Austin R. Benson , David F. Gleich

In this paper, we study multi-dimensional image recovery. Recently, transform-based tensor nuclear norm minimization methods are considered to capture low-rank tensor structures to recover third-order tensors in multi-dimensional image…

图像与视频处理 · 电气工程与系统科学 2022-06-15 Yi-Si Luo , Xi-Le Zhao , Tai-Xiang Jiang , Yi Chang , Michael K. Ng , Chao Li

Tensor is the most basic and essential data structure of nowadays artificial intelligence (AI) system. The natural properties of Tensor, especially the memory-continuity and slice-independence, make it feasible for training system to…

人工智能 · 计算机科学 2026-02-13 Shaoang Zhang , Yazhe Niu

Tensor decomposition is a mathematically supported technique for data compression. It consists of applying some kind of a Low Rank Decomposition technique on the tensors or matrices in order to reduce the redundancy of the data. However, it…

机器学习 · 计算机科学 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Austin Wen , Yang Liu

Tensor regression has shown to be advantageous in learning tasks with multi-directional relatedness. Given massive multiway data, traditional methods are often too slow to operate on or suffer from memory bottleneck. In this paper, we…

机器学习 · 计算机科学 2016-07-12 Rose Yu , Yan Liu

Tensors provide a robust framework for managing high-dimensional data. Consequently, tensor analysis has emerged as an active research area in various domains, including machine learning, signal processing, computer vision, graph analysis,…

统计计算 · 统计学 2025-10-01 Michele Gallo

This paper proposes a novel method for learning highly nonlinear, multivariate functions from examples. Our method takes advantage of the property that continuous functions can be approximated by polynomials, which in turn are representable…

机器学习 · 计算机科学 2020-05-05 Sandor Szedmak , Anna Cichonska , Heli Julkunen , Tapio Pahikkala , Juho Rousu

Tensors offer a natural representation for many kinds of data frequently encountered in machine learning. Images, for example, are naturally represented as third order tensors, where the modes correspond to height, width, and channels.…

机器学习 · 计算机科学 2017-06-05 Jean Kossaifi , Aran Khanna , Zachary C. Lipton , Tommaso Furlanello , Anima Anandkumar

The Recurrent Neural Networks and their variants have shown promising performances in sequence modeling tasks such as Natural Language Processing. These models, however, turn out to be impractical and difficult to train when exposed to very…

计算机视觉与模式识别 · 计算机科学 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

Tensor network states are an indispensable tool for the simulation of strongly correlated quantum many-body systems. In recent years, tree tensor network states (TTNS) have been successfully used for two-dimensional systems and to benchmark…

量子物理 · 物理学 2026-01-23 Thomas Barthel

Textured 3D meshes jointly represent geometry, topology, and appearance, yet their irregular structure poses significant challenges for deep-learning-based semantic segmentation. While a few recent methods operate directly on meshes without…

计算机视觉与模式识别 · 计算机科学 2026-04-03 Mohammadreza Heidarianbaei , Max Mehltretter , Franz Rottensteiner

This work explores the application of Federated Learning (FL) to Unsupervised Semantic image Segmentation (USS). Recent USS methods extract pixel-level features using frozen visual foundation models and refine them through self-supervised…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Evangelos Charalampakis , Vasileios Mygdalis , Ioannis Pitas

Tensor methods have become a promising tool to solve high-dimensional problems in the big data era. By exploiting possible low-rank tensor factorization, many high-dimensional model-based or data-driven problems can be solved to facilitate…

最优化与控制 · 数学 2019-08-22 Chunfeng Cui , Cole Hawkins , Zheng Zhang