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2,215 Results Found

  • Article
  • Open Access
15 Citations
3,600 Views
16 Pages

An Image Secret Sharing Method Based on Matrix Theory

  • Wanmeng Ding,
  • Kesheng Liu,
  • Xuehu Yan,
  • Huaixi Wang,
  • Lintao Liu and
  • Qinghong Gong

22 October 2018

Most of today’s secret image sharing technologies are based on the polynomial-based secret sharing scheme proposed by shamir. At present, researchers mostly focus on the development of properties such as small shadow size and lossless recovery,...

  • Article
  • Open Access
5 Citations
9,335 Views
37 Pages

S-Matrix of Nonlocal Scalar Quantum Field Theory in Basis Functions Representation

  • Ivan V. Chebotarev,
  • Vladislav A. Guskov,
  • Stanislav L. Ogarkov and
  • Matthew Bernard

19 February 2019

Nonlocal quantum theory of a one-component scalar field in D-dimensional Euclidean spacetime is studied in representations of S -matrix theory for both polynomial and nonpolynomial interaction Lagrangians. The theory is formulated on coupling co...

  • Article
  • Open Access
2 Citations
4,949 Views
16 Pages

Enhancing Portfolio Allocation: A Random Matrix Theory Perspective

  • Fabio Vanni,
  • Asmerilda Hitaj and
  • Elisa Mastrogiacomo

This paper explores the application of Random Matrix Theory (RMT) as a methodological enhancement for portfolio selection within financial markets. Traditional approaches to portfolio optimization often rely on historical estimates of correlation mat...

  • Article
  • Open Access
1,870 Views
12 Pages

A Proposal to Solve Finite N Matrix Theory: Reduced Model Related to Quantum Cosmology

  • José Luis López-Picón,
  • Octavio Obregón and
  • José Ríos-Padilla

11 August 2022

The SU(N) invariant model of matrix theory that emerges as the regularization of the 11-dimensional super membrane is studied. This matrix model is identified with M theory in the limit N. It has been conjectured that matrix models are a...

  • Article
  • Open Access
7 Citations
3,066 Views
17 Pages

Lossless and Efficient Secret Image Sharing Based on Matrix Theory Modulo 256

  • Long Yu,
  • Lintao Liu,
  • Zhe Xia,
  • Xuehu Yan and
  • Yuliang Lu

22 June 2020

Most of today’s secret image sharing (SIS) schemes are based on Shamir’s polynomial-based secret sharing (SS), which cannot recover pixels larger than 250. Many exiting methods of lossless recovery are not perfect, because several problem...

  • Article
  • Open Access
6 Citations
2,303 Views
30 Pages

26 March 2022

Game theory is a powerful tool in modeling strategic interaction among rational players. However, as practical problems become more complex, uncertainty inevitably appears in the game. Due to the advantages of probabilistic linguistic term sets (PLTS...

  • Article
  • Open Access
10 Citations
3,491 Views
14 Pages

28 May 2018

In estimating the two-dimensional (2D) direction-of-arrival (DOA) using a coprime planar array, the main issues are the high complexity of spectral peak search and the limited degree of freedom imposed by the number of sensors. In this paper, we pres...

  • Article
  • Open Access
6 Citations
3,609 Views
24 Pages

3 May 2019

Many methods have been proposed in the literature for estimating the number of materials/endmembers in a hyperspectral image. This is sometimes called the “intrinsic” dimension (ID) of the image. A number of recent papers have proposed ID...

  • Article
  • Open Access
2 Citations
3,340 Views
25 Pages

Direct position determination (DPD) is a novel technique in passive localization field recently, receiving superior localization performance compared with the conventional two-step method. The DPD estimator using Doppler shifts is first proposed by W...

  • Article
  • Open Access
10 Citations
5,356 Views
16 Pages

The increasing Internet-of-Things (IoT) applications will take a significant share of the services of the fifth generation mobile network (5G). However, IoT devices are vulnerable to security threats due to the limitation of their simple hardware and...

  • Article
  • Open Access
5 Citations
2,478 Views
16 Pages

20 March 2023

Bulk power grid interconnection and the access of various smart devices make the current grid highly complex. Timely and accurately identifying the power grid operation state is crucial for monitoring the operation stability of the power grid. For th...

  • Article
  • Open Access
2 Citations
2,717 Views
20 Pages

15 August 2022

Space-time adaptive processing (STAP) is a fundamental topic in airborne radar applications due to its clutter suppression ability. Reduced-dimension (RD)-STAP can release the requirement of the number of training samples and reduce the computational...

  • Article
  • Open Access
2 Citations
3,736 Views
24 Pages

14 June 2019

Unfortunately, most Iranian contemporary buildings in different climatic regions are constructed in the same way, with no consideration for climatic comfort. Electrical equipment for cooling and heating in Iran is easy to use and cheap. However, all...

  • Article
  • Open Access
8 Citations
2,909 Views
15 Pages

A Data Driven Approach to Robust Event Detection in Smart Grids Based on Random Matrix Theory and Kalman Filtering

  • Fujia Han,
  • Phillip M. Ashton,
  • Maozhen Li,
  • Ioana Pisica,
  • Gareth Taylor,
  • Barry Rawn and
  • Yi Ding

13 April 2021

Increasing levels of complexity, due to growing volumes of renewable generation with an associated influx of power electronics, are placing increased demands on the reliable operation of modern power systems. Consequently, phasor measurement units (P...

  • Review
  • Open Access
6 Citations
3,032 Views
23 Pages

12 January 2023

Whereas mechanics theories for isotropic materials are almost matured, only linear elastic theories for composites were essentially established. This is because only homogenized or approximated stresses are obtainable for a composite. Its mechanical...

  • Article
  • Open Access
2 Citations
2,335 Views
17 Pages

14 October 2023

The problem of sound propagation in a shallow sea with a rough sea bottom is considered. A random matrix approach for studying sound scattering by the water–bottom interface inhomogeneities is developed. This approach is based on the constructi...

  • Article
  • Open Access
16 Citations
6,028 Views
19 Pages

A Fast Reactive Power Optimization in Distribution Network Based on Large Random Matrix Theory and Data Analysis

  • Wanxing Sheng,
  • Keyan Liu,
  • Hongyan Pei,
  • Yunhua Li,
  • Dongli Jia and
  • Yinglong Diao

24 May 2016

In this paper, a reactive power optimization method based on historical data is investigated to solve the dynamic reactive power optimization problem in distribution network. In order to reflect the variation of loads, network loads are represented i...

  • Review
  • Open Access
7 Citations
16,699 Views
21 Pages

14 October 2016

This paper overviews the key applications enabled by matrix theory in two major fields of interest in electrical engineering, namely wireless communications and signal processing. The paper focuses on the fundamental role played by matrices in modeli...

  • Article
  • Open Access
633 Views
15 Pages

10 November 2025

In a series of previous publications an R-matrix approach was developed to describe transport in N-pole quantum devices in the Landauer–Büttiker formalism. Central quantities in this formalism are the transmission coefficients occurring in...

  • Article
  • Open Access
537 Views
25 Pages

17 December 2025

RGB-guided spectral recovery algorithms include both spectral reconstruction (SR) methods that map image RGBs to spectra and pan-sharpening (PS) methods, where an RGB image is used to guide the upsampling of a low-resolution spectral image. In this p...

  • Article
  • Open Access
1 Citations
2,335 Views
30 Pages

Figural matrices are widely used to measure reasoning ability. According to the two-process model of figural matrix reasoning, task performance relies on correspondence finding (linked to induction ability) and goal management (linked to working memo...

  • Communication
  • Open Access
8 Citations
2,652 Views
7 Pages

25 June 2021

In this short communication, an algorithm for efficiently solving a sparse matrix equation, which arises frequently in the field of distributed control and estimation theory, is proposed. The efficient algorithm stems from the fact that the sparse eq...

  • Article
  • Open Access
3 Citations
3,944 Views
8 Pages

18 July 2019

Seismo-ionospheric coupling is a field of great interest and is currently subject to rigorous study; using both ground and satellite data and many phenomenological features, the ionospheric precursors of earthquakes were identified. In this work, we...

  • Article
  • Open Access
1 Citations
1,102 Views
12 Pages

5 March 2025

In a number of previous publications, scattering theory for N-pole semiconductor quantum devices was developed. In the framework of the Landauer–Büttiker formalism, an S-matrix was constructed with the aid of an R-matrix providing a mappin...

  • Article
  • Open Access
1,655 Views
23 Pages

5 May 2025

In finite element simulation and analysis, increasing simulation scales place high demands on the preconditioning and solution process of linear matrices. However, the most commonly used preconditioning methods for incomplete LU factorization usually...

  • Article
  • Open Access
482 Views
45 Pages

The Algebraic Theory of Operator Matrix Polynomials with Applications to Aeroelasticity in Flight Dynamics and Control

  • Belkacem Bekhiti,
  • Kamel Hariche,
  • Vasilii Zaitsev,
  • Guangren R. Duan and
  • Abdel-Nasser Sharkawy

29 November 2025

This paper develops an algebraic framework for operator matrix polynomials and demonstrates its application to control-design problems in aeroservoelastic systems. We present constructive spectral-factorization and linearization tools (block spectral...

  • Article
  • Open Access
4 Citations
2,102 Views
18 Pages

26 April 2024

A polarized bidirectional reflectance distribution function (pBRDF) matrix was developed based on the two-scale roughness theory to provide consistent simulations of fully polarized microwave emission and scattering, required for the ocean–atmo...

  • Article
  • Open Access
1 Citations
851 Views
17 Pages

8 July 2025

This paper deals with an important issue, which is the influence of failure caused by the quality of matrix post-curing on the strength of complex and difficult materials of the “new generation” such as fibre composites, particularly with...

  • Article
  • Open Access
1 Citations
2,700 Views
8 Pages

Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms

  • Emil T. Davletov,
  • Vladislav V. Tsyganok,
  • Vladimir A. Khlebnikov,
  • Daniil A. Pershin and
  • Alexey V. Akimov

10 December 2020

Recently, the transformation from random to chaotic behavior in the statistics of Fano–Feshbach resonances was observed in thulium atoms with rising ensemble temperature. We performed random matrix theory simulations of such spectra and analyze...

  • Article
  • Open Access
27 Citations
2,513 Views
19 Pages

Nuclear Matrix Elements for Heavy Ion Sequential Double Charge Exchange Reactions

  • Horst Lenske,
  • Jessica Bellone,
  • Maria Colonna and
  • Danilo Gambacurta

The theoretical approach to a sequential heavy ion double charge exchange reaction is presented. A brief introduction into the formal theory of second-order nuclear reactions and their application to Double Single Charge Exchange (DSCE) reactions by...

  • Article
  • Open Access
9 Citations
5,968 Views
22 Pages

Exact Distributions of Finite Random Matrices and Their Applications to Spectrum Sensing

  • Wensheng Zhang,
  • Cheng-Xiang Wang,
  • Xiaofeng Tao and
  • Piya Patcharamaneepakorn

29 July 2016

The exact and simple distributions of finite random matrix theory (FRMT) are critically important for cognitive radio networks (CRNs). In this paper, we unify some existing distributions of the FRMT with the proposed coefficient matrices (vectors) an...

  • Article
  • Open Access
37 Citations
11,790 Views
42 Pages

Nuclei, Primes and the Random Matrix Connection

  • Frank W. K. Firk and
  • Steven J. Miller

20 September 2009

In this article, we discuss the remarkable connection between two very different fields, number theory and nuclear physics. We describe the essential aspects of these fields, the quantities studied, and how insights in one have been fruitfully applie...

  • Article
  • Open Access
8 Citations
6,133 Views
17 Pages

Environmentally Friendly Supplier Selection Using Prospect Theory

  • Wei Song,
  • Zhiya Chen,
  • Xuping Wang,
  • Qian Wang,
  • Chenghua Shi and
  • Wei Zhao

This paper proposes an optimal selection method to address the real-world problem of environmentally friendly supplier selection, based on prospect theory. This study adopted the manufacturer’s point of view, and considered the manufacturer’s psychol...

  • Feature Paper
  • Article
  • Open Access
1 Citations
2,973 Views
16 Pages

27 April 2023

We discuss the cumulant approach to spectral properties of large random matrices. In particular, we study in detail the joint cumulants of high traces of large unitary random matrices and prove Gaussian fluctuation for pair-counting statistics with n...

  • Article
  • Open Access
17 Citations
7,221 Views
17 Pages

31 August 2002

A theory for the calculation of self-energy corrections to the nuclear magnetic parameters is given in this paper. It is based on the S-matrix formulation of bound-state quantum electrodynamics (QED). Explicit expressions for the various terms of the...

  • Article
  • Open Access
3 Citations
3,079 Views
18 Pages

19 December 2019

A high-frequency link (HFL) three-phase four-leg matrix converter (MC) can output three-phase balanced voltage for unbalanced load conditions. It is an inverter with great development potential. This paper presents a hybrid pulse width modulation (HP...

  • Article
  • Open Access
16 Citations
3,499 Views
20 Pages

19 September 2019

In this contribution, the ratcheting behavior and local field distribution of unidirectional metal matrix composites are investigated under cyclic loading. To that end, we extended the finite-volume direct averaging micromechanics (FVDAM) theory by i...

  • Article
  • Open Access
2 Citations
3,905 Views
15 Pages

28 September 2019

Nucleosomes are the basic units of eukaryotes. The accurate positioning of nucleosomes plays a significant role in understanding many biological processes such as transcriptional regulation mechanisms and DNA replication and repair. Here, we describe...

  • Article
  • Open Access
11 Citations
3,203 Views
22 Pages

18 October 2019

Light scattering by non-spherical particles is an important factor influencing atmospheric radiative transfer. To accurately simulate the scattering properties of non-spherical particles, the Invariant Imbedded T-matrix method (IIM T-Matrix) is devel...

  • Article
  • Open Access
10 Citations
3,377 Views
23 Pages

Quantum embedding is a divide and conquer strategy that aims at solving the electronic Schrödinger equation of sizeable molecules or extended systems. We establish in the present work a clearer and in-principle-exact connection between density m...

  • Article
  • Open Access
8 Citations
6,968 Views
23 Pages

30 July 2014

The study deals with two conceptual problems in the theory of Stark broadening by plasmas. One problem is the assumption of the density matrix diagonality in the calculation of spectral line profiles. This assumption is closely related to the definit...

  • Article
  • Open Access
2 Citations
2,596 Views
17 Pages

11 October 2023

The performance of embedding methods is directly tied to the quality of the bath orbital construction. In this paper, we develop a versatile framework, enabling the investigation of the optimal construction of the orbitals of the bath. As of today, i...

  • Article
  • Open Access
2 Citations
1,432 Views
21 Pages

28 February 2025

The classical pre-stack seismic inversion technique uses the Zoeppritz equation and its simplified versions to calculate the PP and PS reflection coefficients at different incidence angles, aiding in inverting the subsurface velocity and density para...

  • Article
  • Open Access
3 Citations
1,934 Views
26 Pages

27 August 2023

Under the background of the “dual carbon” targets and continuously promoted power system reform, the application of a high proportion of renewable energy is becoming increasingly widespread. All sectors of society have greater demands for...

  • Article
  • Open Access
2 Citations
5,750 Views
12 Pages

The Performance of Shrinkage Estimator for Stock Portfolio Selection in Case of High Dimensionality

  • Nhat Minh Nguyen,
  • Trung Duc Nguyen,
  • Eleftherios I. Thalassinos and
  • Hoang Anh Le

Harry Markowitz introduced the Modern Portfolio Theory (MPT) for the first time in 1952 which has been applied widely for optimal portfolio selection until now. However, the theory still has some limitations that come from the instability of covarian...

  • Article
  • Open Access
4 Citations
5,454 Views
18 Pages

23 September 2020

This paper deals with the explicit design of strategy formulations to make the best strategic choices from a conventional matrix form of representing strategic choices. The explicit strategy formulation is an analytical model that is targeted to prov...

  • Article
  • Open Access
1 Citations
6,907 Views
11 Pages

6 August 2009

If the Hamiltonian in the time independent Schrödinger equation, HΨ = , is invariant under a group of symmetry transformations, the theory of group representations can help obtain the eigenvalues and eigenvectors of H. A finite group that is not a...

  • Article
  • Open Access
1 Citations
1,916 Views
11 Pages

29 May 2023

The Dyson index, β, plays an essential role in random matrix theory, as it labels the so-called “three-fold way” that refers to the symmetries satisfied by ensembles under unitary transformations. As is known, its 1, 2, and 4 values...

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