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434 Results Found

  • Article
  • Open Access
7 Citations
4,080 Views
17 Pages

An Analysis of Travel Patterns in Barcelona Metro Using Tucker3 Decomposition

  • Elisa Frutos-Bernal,
  • Ángel Martín del Rey,
  • Irene Mariñas-Collado and
  • María Teresa Santos-Martín

31 March 2022

In recent years, a growing number of large, densely populated cities have emerged, which need urban traffic planning and therefore knowledge of mobility patterns. Knowledge of space-time distribution of passengers in cities is necessary for effective...

(This article belongs to the Special Issue Multivariate Statistics: Theory and Its Applications)
  • Article
  • Open Access
6 Citations
3,340 Views
21 Pages

Multimodal Tucker Decomposition for Gated RBM Inference

  • Mauricio Maldonado-Chan,
  • Andres Mendez-Vazquez and
  • Ramon Osvaldo Guardado-Medina

11 August 2021

Gated networks are networks that contain gating connections in which the output of at least two neurons are multiplied. The basic idea of a gated restricted Boltzmann machine (RBM) model is to use the binary hidden units to learn the conditional dist...

(This article belongs to the Special Issue Applied Artificial Neural Networks)
  • Article
  • Open Access
3 Citations
3,331 Views
24 Pages

Application of Tucker Decomposition in Temperature Distribution Reconstruction

  • Zhaoyu Liu,
  • Shi Liu,
  • Minxin Chen,
  • Yaofang Zhang and
  • Pengbo Yao

7 March 2022

Constrained by cost, measuring conditions and excessive calculation, it is difficult to reconstruct a 3D real-time temperature field. For the purpose of solving these problems, a three-dimensional temperature distribution reconstruction algorithm bas...

  • Article
  • Open Access
11 Citations
5,246 Views
22 Pages

Gap-Filling of NDVI Satellite Data Using Tucker Decomposition: Exploiting Spatio-Temporal Patterns

  • Andri Freyr Þórðarson,
  • Andreas Baum,
  • Mónica García,
  • Sergio M. Vicente-Serrano and
  • Anders Stockmarr

6 October 2021

Remote sensing satellite images in the optical domain often contain missing or misleading data due to overcast conditions or sensor malfunctioning, concealing potentially important information. In this paper, we apply expectation maximization (EM) Tu...

(This article belongs to the Topic High-Resolution Earth Observation Systems, Technologies, and Applications)
  • Article
  • Open Access
190 Views
43 Pages

A New Tucker Model for Three-Way Functional Data: FTucker-3

  • Roberto Cascante-Yarlequé,
  • Purificación Galindo-Villardón,
  • Fabricio Guevara-Viejó and
  • Purificación Vicente-Galindo

2 October 2026

This paper introduces FTucker-3, a basis-preserving Tucker framework for three-way functional data in which each tensor cell is a function. Functional observations are represented in a common finite basis, organized as a fourth-order coefficient tens...

(This article belongs to the Special Issue Advances in Multivariate Statistical Models: Approaches and Applications for Continuous Data)
  • Article
  • Open Access
3 Citations
2,777 Views
15 Pages

25 October 2022

For the purpose of solving the large temperature field reconstruction error caused by different measuring point arrangements and the problem that the prior dataset cannot be built due to data loss or distortion in actual measurement, a three-dimensio...

(This article belongs to the Special Issue Advances in Applied Signal and Image Processing Technology)
  • Article
  • Open Access
7 Citations
3,066 Views
20 Pages

18 August 2025

Hyperspectral image (HSI) denoising is an important preprocessing step for downstream applications. Fully characterizing the spatial-spectral priors of HSI is crucial for denoising tasks. In recent years, denoising methods based on low-rank subspaces...

(This article belongs to the Section Remote Sensing Image Processing)
  • Review
  • Open Access
149 Views
16 Pages

Sparse and Tucker in the Scientific Literature: A Bibliometric Study of Trends and Applications

  • Edwin Sánchez-León,
  • Huber Echeverría,
  • Walter Franco and
  • Javier Benítez-Astudillo

This bibliometric study examines research that explicitly combines sparse methods with Tucker-related techniques. Using PRISMA 2020 as a reporting guide for record identification and selection, we retained 254 journal articles indexed in Scopus and W...

  • Article
  • Open Access
5 Citations
1,974 Views
19 Pages

28 March 2025

Accurate temperature measurement in coal-fired power plants is crucial for optimizing combustion and achieving deep load regulation. While acoustic temperature measurement is an efficient and stable method, its practical application is limited to two...

(This article belongs to the Section Applied Thermal Engineering)
  • Article
  • Open Access
2 Citations
867 Views
15 Pages

14 November 2025

Non-negative Tucker decomposition (NTD) is one of the general and prominent decomposition tools designed for high-order tensor data, with its advantages reflected in feature extraction and low-dimensional representation of data. Most NTD-based method...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
13 Citations
4,188 Views
16 Pages

24 January 2023

Tensor completion is a fundamental tool to estimate unknown information from observed data, which is widely used in many areas, including image and video recovery, traffic data completion and the multi-input multi-output problems in information theor...

(This article belongs to the Special Issue Advances in Multiuser Information Theory)
  • Article
  • Open Access
17 Citations
3,634 Views
22 Pages

A New Algorithm for Computing Disjoint Orthogonal Components in the Three-Way Tucker Model

  • Carlos Martin-Barreiro,
  • John A. Ramirez-Figueroa,
  • Ana B. Nieto-Librero,
  • Víctor Leiva,
  • Ana Martin-Casado and
  • M. Purificación Galindo-Villardón

20 January 2021

One of the main drawbacks of the traditional methods for computing components in the three-way Tucker model is the complex structure of the final loading matrices preventing an easy interpretation of the obtained results. In this paper, we propose a...

(This article belongs to the Special Issue Statistical Simulation and Computation)
  • Article
  • Open Access
32 Citations
5,354 Views
20 Pages

Hyperspectral and Multispectral Image Fusion Using Coupled Non-Negative Tucker Tensor Decomposition

  • Marzieh Zare,
  • Mohammad Sadegh Helfroush,
  • Kamran Kazemi and
  • Paul Scheunders

26 July 2021

Fusing a low spatial resolution hyperspectral image (HSI) with a high spatial resolution multispectral image (MSI), aiming to produce a super-resolution hyperspectral image, has recently attracted increasing research interest. In this paper, a novel...

(This article belongs to the Topic High-Resolution Earth Observation Systems, Technologies, and Applications)
  • Article
  • Open Access
24 Citations
6,593 Views
21 Pages

30 June 2019

Real signals are usually contaminated with various types of noise. This phenomenon has a negative impact on the operation of systems that rely on signals processing. In this paper, we propose a tensor-based method for speckle noise reduction in the s...

(This article belongs to the Section Remote Sensors)
  • Article
  • Open Access
4 Citations
3,095 Views
30 Pages

26 May 2022

To excavate adequately the rich information contained in multisource remote sensing data, feature extraction as basic yet important research has two typical applications: one of which is to extract complementary information of multisource data to imp...

  • Article
  • Open Access
2 Citations
1,555 Views
18 Pages

9 September 2025

To enhance the spectral efficiency of hybrid beamforming in millimeter-wave massive MIMO systems, the problem is formulated as a high-dimensional non-convex optimization under constant modulus constraints. A novel algorithm based on fourth-order tens...

  • Article
  • Open Access
3 Citations
2,047 Views
16 Pages

12 December 2022

Nonnegative Tucker decomposition (NTD) is an unsupervised method and has been extended in many applied fields. However, NTD does not make use of the label information of sample data, even though such label information is available. To remedy the defe...

  • Article
  • Open Access
859 Views
25 Pages

1 November 2025

Collaborative clustering is an ensemble technique that enhances clustering performance by simultaneously and synergistically processing multiple data dimensions or tasks. This is an active research area in artificial intelligence, machine learning, a...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,532 Views
28 Pages

7 April 2025

With the rapid growth of streaming data, traditional tensor decomposition methods can hardly handle real-time, high-dimensional data of massive amounts in this scenario. In this paper, a two-level parallel incremental tensor Tucker decomposition meth...

  • Article
  • Open Access
10 Citations
3,945 Views
19 Pages

9 January 2022

Nonnegative Tucker decomposition (NTD) is a robust method used for nonnegative multilinear feature extraction from nonnegative multi-way arrays. The standard version of NTD assumes that all of the observed data are accessible for batch processing. Ho...

(This article belongs to the Special Issue Advances in Symmetric Tensor Decomposition Methods)
  • Article
  • Open Access
9 Citations
3,000 Views
26 Pages

Remote Sensing Imagery Object Detection Model Compression via Tucker Decomposition

  • Lang Huyan,
  • Ying Li,
  • Dongmei Jiang,
  • Yanning Zhang,
  • Quan Zhou,
  • Bo Li,
  • Jiayuan Wei,
  • Juanni Liu,
  • Yi Zhang and
  • Hai Fang
  • + 1 author

7 February 2023

Although convolutional neural networks (CNNs) have made significant progress, their deployment onboard is still challenging because of their complexity and high processing cost. Tensors provide a natural and compact representation of CNN weights via...

(This article belongs to the Special Issue Advanced Machine Learning Methods for Image Processing, Perception and Understanding)
  • Article
  • Open Access
5 Citations
2,947 Views
27 Pages

14 May 2024

A double optimal solution (DOS) of a least-squares problem Ax=b,A∈Rq×n with q≠n is derived in an m+1-dimensional varying affine Krylov subspace (VAKS); two minimization techniques exactly determine the m+1 expansion coefficients of the...

(This article belongs to the Special Issue Numerical Optimization and Algorithms: 2nd Edition)
  • Article
  • Open Access
237 Views
23 Pages

Symmetric and Asymmetric Trends in Sparse Tucker Decomposition Based on Plithogenic Neutrosophic Hypersoft Sets: A Bibliometric and Conceptual Review

  • Edwin Sánchez-León,
  • Eduardo Espinoza-Solís,
  • Huber Echeverría,
  • Antonio Blázquez-Zaballos and
  • Purificación Galindo-Villardón

14 September 2026

Sparse Tucker decomposition (STD) is a framework for tensor decomposition that extends the classical Tucker model with sparsity constraints, with the aim of achieving better representation and analysis of multidimensional data. STD has attracted grow...

(This article belongs to the Special Issue Symmetry in Uncertainty and Intelligent Decision-Making)
  • Article
  • Open Access
8 Citations
2,777 Views
28 Pages

15 August 2022

Condition monitoring and fault diagnosis are topics of growing interest for improving the reliability of modern industrial systems. As critical structural components, anti-friction bearings often operate under harsh conditions and are contributing fa...

(This article belongs to the Section Machines Testing and Maintenance)
  • Article
  • Open Access
8 Citations
3,125 Views
15 Pages

Muscle Synergy during Wrist Movements Based on Non-Negative Tucker Decomposition

  • Xiaoling Chen,
  • Yange Feng,
  • Qingya Chang,
  • Jinxu Yu,
  • Jie Chen and
  • Ping Xie

19 May 2024

Modular control of the muscle, which is called muscle synergy, simplifies control of the movement by the central nervous system. The purpose of this study was to explore the synergy in both the frequency and movement domains based on the non-negative...

(This article belongs to the Section Biomedical Sensors)
  • Article
  • Open Access
989 Views
18 Pages

12 December 2025

Accurate fault diagnosis of power transformers is critical for maintaining grid reliability, yet conventional dissolved gas analysis (DGA) methods face challenges in feature representation and high-dimensional data processing. This paper presents an...

(This article belongs to the Section Fault Diagnosis & Sensors)
  • Article
  • Open Access
7 Citations
4,270 Views
28 Pages

1 March 2023

The present work, unlike others, does not try to reduce the noise in hyperspectral images to increase the semantic segmentation performance metrics; rather, we present a classification framework for noisy Hyperspectral Images (HSI), studying the clas...

(This article belongs to the Special Issue Remote Sensing Image Classification and Semantic Segmentation)
  • Article
  • Open Access
2 Citations
3,605 Views
13 Pages

Characterizations of Pareto-Nash Equilibria for Multiobjective Potential Population Games

  • Guanghui Yang,
  • Chanchan Li,
  • Jinxiu Pi,
  • Chun Wang,
  • Wenjun Wu and
  • Hui Yang

5 January 2021

This paper studies the characterizations of (weakly) Pareto-Nash equilibria for multiobjective population games with a vector-valued potential function called multiobjective potential population games, where agents synchronously maximize multiobjecti...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1 Citations
3,487 Views
14 Pages

18 February 2021

Low-rank tensor recovery has attracted much attention among various tensor recovery approaches. A tensor rank has several definitions, unlike the matrix rank—e.g., the CP rank and the Tucker rank. Many low-rank tensor recovery methods are focused on...

  • Article
  • Open Access
5 Citations
4,980 Views
18 Pages

Assessment of Analytical Orientation Prediction Models for Suspensions Containing Fibers and Spheres

  • Bastien Dietemann,
  • Fatih Bosna,
  • Harald Kruggel-Emden,
  • Torsten Kraft and
  • Claas Bierwisch

Analytical orientation models like the Folgar Tucker (FT) model are widely applied to predict the orientation of suspended non-spherical particles. The accuracy of these models depends on empirical model parameters. In this work, we assess how well a...

(This article belongs to the Special Issue Characterization and Modelling of Composites, Volume II)
  • Article
  • Open Access
40 Citations
4,232 Views
26 Pages

16 May 2021

Numerical studies for polymer composites deposition additive manufacturing have provided significant insight promoting the rapid development of the technology. However, little of existing literature addresses the complex yet important polymer composi...

(This article belongs to the Section Manufacturing Processes and Systems)
  • Article
  • Open Access
7 Citations
2,327 Views
29 Pages

In this paper, the Fischer–Burmeister active-set trust-region (FBACTR) algorithm is introduced to solve the nonlinear bilevel programming problems. In FBACTR algorithm, a Karush–Kuhn–Tucker (KKT) condition is used with the Fischer&n...

(This article belongs to the Section Numerical and Computational Methods)
  • Article
  • Open Access
1 Citations
1,302 Views
21 Pages

29 April 2025

In this paper, we study the optimality conditions and perform a stability analysis for the second-order cone constrained variational inequalities (SOCCVI) problem. The Lagrange function and Karush–Kuhn–Tucker (KKT) condition of the SOCCVI...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
23 Citations
4,607 Views
13 Pages

8 November 2021

Battery energy storage systems (BESSs) are key components in efficiently managing the electric power supply and demand in microgrids. However, the BESSs have issues in their investment costs and operating lifetime, and thus, the optimal sizing of the...

(This article belongs to the Section A1: Smart Grids and Microgrids)
  • Article
  • Open Access
18 Citations
10,332 Views
19 Pages

Are Worldwide Governance Indicators Stable or Do They Change over Time? A Comparative Study Using Multivariate Analysis

  • Isabel Gallego-Álvarez,
  • Miguel Rodríguez-Rosa and
  • Purificación Vicente-Galindo

15 December 2021

Governance is a characteristic of political systems that indicates the degrees of cooperation and interaction between a state and non-state actors when it comes to decision making that will have an impact on society. The aim of our research focuses o...

(This article belongs to the Special Issue Multivariate Statistics: Theory and Its Applications)
  • Article
  • Open Access
9 Citations
3,663 Views
25 Pages

12 May 2022

In this paper, we propose a new hyperspectral image (HSI) denoising model with the group sparsity regularized hybrid spatio-spectral total variation (GHSSTV) and low-rank tensor decomposition, which is based on the analysis of structural sparsity of...

  • Article
  • Open Access
2 Citations
4,010 Views
22 Pages

Tensor Network Methods for Hyperparameter Optimization and Compression of Convolutional Neural Networks

  • A. Naumov,
  • A. Melnikov,
  • M. Perelshtein,
  • Ar. Melnikov,
  • V. Abronin and
  • F. Oksanichenko

11 February 2025

Neural networks have become a cornerstone of computer vision applications, with tasks ranging from image classification to object detection. However, challenges such as hyperparameter optimization (HPO) and model compression remain critical for impro...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
18 Citations
4,987 Views
22 Pages

29 September 2019

A hyperspectral image (HSI) contains abundant spatial and spectral information, but it is always corrupted by various noises, especially Gaussian noise. Global correlation (GC) across spectral domain and nonlocal self-similarity (NSS) across spatial...

(This article belongs to the Special Issue Advanced Techniques for Spaceborne Hyperspectral Remote Sensing)
  • Article
  • Open Access
2 Citations
1,609 Views
22 Pages

Fractional Intuitionistic Fuzzy Support Vector Machine: Diabetes Tweet Classification

  • Hassan Badi,
  • Alina-Mihaela Patriciu and
  • Karim El Moutaouakil

19 November 2024

Support vector machine (SVM) models apply the Karush–Kuhn–Tucker (KKT-OC) optimality conditions in the ordinary derivative to the primal optimisation problem, which has a major influence on the weights associated with the dissimilarity be...

(This article belongs to the Section Artificial Intelligence)
  • Article
  • Open Access
3 Citations
2,866 Views
18 Pages

A Two-Stage Framework for Directed Hypergraph Link Prediction

  • Guanchen Xiao,
  • Jinzhi Liao,
  • Zhen Tan,
  • Xiaonan Zhang and
  • Xiang Zhao

6 July 2022

Hypergraphs, as a special type of graph, can be leveraged to better model relationships among multiple entities. In this article, we focus on the task of hyperlink prediction in directed hypergraphs, which finds a wide spectrum of applications in kno...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
15 Citations
4,460 Views
21 Pages

Effect of Load Priority Modeling on the Size of Fuel Cell as an Emergency Power Unit in a More-Electric Aircraft

  • Mohammad Javad Salehpour,
  • Hamid Radmanesh,
  • Seyyed Mohammad Hosseini Rostami,
  • Jin Wang and
  • Hye-Jin Kim

8 August 2019

The proton exchange membrane fuel cell as a green power source is a suitable replacement of the engine mounted generators in the emergency power unit of a more-electric aircraft. Most existing energy management methods for operation of fuel cells in...

  • Article
  • Open Access
4 Citations
2,899 Views
16 Pages

As energy and carbon markets evolve, it has emerged as a prevalent trend for multiple virtual power plants (VPPs) to engage in market trading through coordinated operation. Given that these VPPs belong to diverse stakeholders, a competitive dynamic i...

(This article belongs to the Section Inventions and Innovation in Electrical Engineering/Energy/Communications)
  • Article
  • Open Access
2 Citations
2,683 Views
15 Pages

Bifuzzy-Bilevel Programming Model: Solution and Application

  • Jiahao Chen,
  • Yujiao Jiang and
  • Guang Wang

26 August 2021

Bi-level programming is widely used in processing various questions, but it cannot deal with the complex and fuzzy information contained in problems. In order to solve such problems better with intricate and vague information that can be efficiently...

  • Article
  • Open Access
6 Citations
2,961 Views
13 Pages

Improved TV Image Denoising over Inverse Gradient

  • Minmin Li,
  • Guangcheng Cai,
  • Shaojiu Bi and
  • Xi Zhang

8 March 2023

Noise in an image can affect one’s extraction of image information, therefore, image denoising is an important image pre-processing process. Many of the existing models have a large number of estimated parameters, which increases the time compl...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
2 Citations
1,252 Views
23 Pages

16 April 2025

This study investigates the effects of take-back regulations and remanufacturing competition on e-product OEM design for remanufacturing (DfR) strategies and remanufacturing decisions within a closed-loop supply chain. Considering the monopolistic re...

  • Article
  • Open Access
5 Citations
3,715 Views
22 Pages

For multiple-antenna systems, the technologies of joint symbol and channel parameter estimation have been developed in recent works. However, existing technologies have a number of problems, such as performance degradation and the large cost of prior...

(This article belongs to the Special Issue Multidimensional Digital Signal Processing)
  • Article
  • Open Access
2 Citations
3,163 Views
22 Pages

7 August 2022

The development of deep learning technology has resulted in great contributions in many artificial intelligence services, but adversarial attack techniques on deep learning models are also becoming more diverse and sophisticated. IoT edge devices tak...

(This article belongs to the Special Issue Massive Learning and Computing for the Reliable Internet of Everything)
  • Article
  • Open Access
636 Views
35 Pages

3 May 2026

Stock prediction requires the joint modeling of temporal dynamics and cross-stock dependence. Existing graph-based and hypergraph-based forecasting methods often process spatial relation modeling and temporal evolution in separate stages, which may w...

  • Article
  • Open Access
15 Views
28 Pages

14 October 2026

Background: Automation-based inspection removes classification errors from imperfect production, but production inventory models built on it rarely account for carbon regulation or for the effect of displayed stock on demand. Methods: This paper exte...

(This article belongs to the Special Issue Logistics and Supply Chain Challenges and Solutions in the Turbulent World)
  • Article
  • Open Access
7 Citations
5,494 Views
14 Pages

Bidimensional and Multidimensional Principal Component Analysis in Long Term Atmospheric Monitoring

  • Barbara Giussani,
  • Simone Roncoroni,
  • Sandro Recchia and
  • Andrea Pozzi

2 December 2016

Atmospheric monitoring produces huge amounts of data. Univariate and bivariate statistics are widely used to investigate variations in the parameters. To summarize information graphs are usually used in the form of histograms or tendency profiles (e....

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