Tensor Distance Based Least Square Twin Support Tensor Machine

2014 ◽  
Vol 668-669 ◽  
pp. 1170-1173 ◽  
Author(s):  
Hai Fa Shi ◽  
Xin Bin Zhao ◽  
Ling Jing
Keyword(s):  
Euclidean Distance ◽  
Structural Information ◽  
Linear Equations ◽  
Least Square ◽  
Time Consumption ◽  
Quadratic Programming Problems ◽  
Systems Of Linear Equations ◽  
Nonparallel Hyperplanes ◽  
Tensor Data ◽  
The Relationship

Nowadays, there have been many data which are represented by tensor, that how to deal with these tensor data directly remains a significant challenge. In this paper, we propose a new tensor distance (TD) based least square twin support tensor machine (called TDLS-TSTM). Unlike the traditional Euclidean distance, TD considers the relationship information of various coordinates. TDLS-TSTM works directly on tensor data and aims to find two nonparallel hyperplanes for classification based on TD which can make full of structural information of data, solves two systems of linear equations rather than two quadratic programming problems. Compared with other classifiers, our method has the advantages of higher precision and accepted time consumption. The numerical experiments show the valid and efficient of TDLS-TSTM.

On Some Properties of Semi-rings

2018 ◽  
pp. 35-50
Author(s):  
A. I. Belousov
Keyword(s):  
Linear Equations ◽  
Oriented Graph ◽  
Theoretical Computer Science ◽  
Alternative Methods ◽  
Main Role ◽  
Cost Matrix ◽  
Sequential Elimination ◽  
The Matrix ◽  
Systems Of Linear Equations ◽  
The Cost

The main objective of this paper is to prove a theorem according to which a method of successive elimination of unknowns in the solution of systems of linear equations in the semi-rings with iteration gives the really smallest solution of the system. The proof is based on the graph interpretation of the system and establishes a relationship between the method of sequential elimination of unknowns and the method for calculating a cost matrix of a labeled oriented graph using the method of sequential calculation of cost matrices following the paths of increasing ranks. Along with that, and in terms of preparing for the proof of the main theorem, we consider the following important properties of the closed semi-rings and semi-rings with iteration.We prove the properties of an infinite sum (a supremum of the sequence in natural ordering of an idempotent semi-ring). In particular, the proof of the continuity of the addition operation is much simpler than in the known issues, which is the basis for the well-known algorithm for solving a linear equation in a semi-ring with iteration.Next, we prove a theorem on the closeness of semi-rings with iteration with respect to solutions of the systems of linear equations. We also give a detailed proof of the theorem of the cost matrix of an oriented graph labeled above a semi-ring as an iteration of the matrix of arc labels.The concept of an automaton over a semi-ring is introduced, which, unlike the usual labeled oriented graph, has a distinguished "final" vertex with a zero out-degree.All of the foregoing provides a basis for the proof of the main theorem, in which the concept of an automaton over a semi-ring plays the main role.The article's results are scientifically and methodologically valuable. The proposed proof of the main theorem allows us to relate two alternative methods for calculating the cost matrix of a labeled oriented graph, and the proposed proofs of already known statements can be useful in presenting the elements of the theory of semi-rings that plays an important role in mathematical studies of students majoring in software technologies and theoretical computer science.

The Impact of Competitive Quasi-Market on Service Delivery in Benue State University, Makurdi Nigeria

GIS Business ◽  
2019 ◽  
Vol 14 (4) ◽  
pp. 85-98
Author(s):  
Idoko Peter
Keyword(s):  
Service Delivery ◽  
A Priori ◽  
Least Square ◽  
Secondary Source ◽  
State University ◽  
Ordinary Least Square ◽  
Negative Effect ◽  
The Impact ◽  
The Relationship

This research the impact of competitive quasi market on service delivery in Benue State University, Makurdi Nigeria. Both primary and secondary source of data and information were used for the study and questionnaire was used to extract information from the purposively selected respondents. The population for this study is one hundred and seventy three (173) administrative staff of Benue State University selected at random. The statistical tools employed was the classical ordinary least square (OLS) and the probability value of the estimates was used to tests hypotheses of the study. The result of the study indicates that a positive relationship exist between Competitive quasi marketing in Benue State University, Makurdi Nigeria (CQM) and Transparency in the service delivery (TRSP) and the relationship is statistically significant (p<0.05). Competitive quasi marketing (CQM) has a negative effect on Observe Competence in Benue State University, Makurdi Nigeria (OBCP) and the relationship is not statistically significant (p>0.05). Competitive quasi marketing (CQM) has a positive effect on Innovation in Benue State University, Makurdi Nigeria (INVO) and the relationship is statistically significant (p<0.05) and in line with a priori expectation. This means that a unit increases in Competitive quasi marketing (CQM) will result to a corresponding increase in innovation in Benue State University, Makurdi Nigeria (INVO) by a margin of 22.5%. It was concluded that government monopoly in the provision of certain types of services has greatly affected the quality of service experience in the institution. It was recommended among others that the stakeholders in the market has to be transparent so that the system will be productive to serve the society effectively

A Partial Least Square Structural Equation Modeling: Prestige Perception in Tourism

2020 ◽  
Author(s):  
Murat Kayak
Keyword(s):  
Structural Equation Modeling ◽  
Structural Equation ◽  
Partial Least Square ◽  
Least Square ◽  
Primary Data ◽  
Equation Modeling ◽  
Destination Brand ◽  
The Relationship ◽  
Intention To Revisit ◽  
Brand Prestige

This study aims to investigate destination brand prestige, and to explore the mediating effects of destination brand worldness between destination brand prestige and intention to revisit. Research is designed to collect primary data from the Taiwanese tourists. Partial least squares structural equation modeling is used to test the effects. The research model is appropriately implemented in Smart PLS 3 and a full mediation has existed through the empirical findings. The study shows how destination brand worldness mediates the relationship between destination brand prestige and intention to revisit.

scholarly journals Does Foreign Direct Investment Influence Renewable Energy Consumption? Empirical Evidence from South Asian Countries

Energies ◽  
2021 ◽  
Vol 14 (12) ◽  
pp. 3470
Author(s):  
Xueqing Kang ◽  
Farman Ullah Khan ◽  
Raza Ullah ◽  
Muhammad Arif ◽  
Shams Ur Rehman ◽  
...  
Keyword(s):  
Foreign Direct Investment ◽  
Renewable Energy ◽  
Sri Lanka ◽  
South Asian ◽  
Environmental Sustainability ◽  
Direct Investment ◽  
Least Square ◽  
Asian Countries ◽  
Ordinary Least Square ◽  
The Relationship

In selected South Asian countries, the study intends to investigate the relationship between urban population (UP), carbon dioxide (CO2), trade openness (TO), gross domestic product (GDP), foreign direct investment (FDI), and renewable energy (RE). Fully modified ordinary least square (FMOLS) and dynamic ordinary least square (DOLS) models for estimation were used in the study, which covered yearly data from 1990 to 2019. We used Levin–Lin–Chu, Im–Pesaran–Shin, and Fisher PP tests for the stationarity of the variables. The outcomes of the panel cointegration approach looked at whether there was a long-run equilibrium nexus between selected variables in Pakistan, Bangladesh, India, and Sri Lanka. The FMOLS approach was also used to assess the relationship, and the results suggest that there is a significant and negative nexus between FDI and renewable energy in south Asian nations. The study’s findings reveal a strong and favorable relationship between GDP and renewable energy use. In South Asian nations (Sri Lanka, Pakistan, India, and Bangladesh), the FMOLS and DOLS findings are nearly identical, but the authors used the DOLS model for robustification. According to the findings, policymakers in South Asian economies (Sri Lanka, Pakistan, India, and Bangladesh) should view GDP and FDI as fundamental policy instruments for environmental sustainability. To reduce reliance on hazardous energy sources, the government should also reassure financial sectors to participate in renewable energy.

scholarly journals A Globally Convergent Parallel SSLE Algorithm for Inequality Constrained Optimization

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Zhijun Luo ◽  
Lirong Wang
Keyword(s):  
Constrained Optimization ◽  
Optimization Problems ◽  
Linear Equations ◽  
Coefficient Matrix ◽  
Descent Direction ◽  
Constrained Optimization Problems ◽  
Inequality Constrained Optimization ◽  
Globally Convergent ◽  
Variable Distribution ◽  
Systems Of Linear Equations

A new parallel variable distribution algorithm based on interior point SSLE algorithm is proposed for solving inequality constrained optimization problems under the condition that the constraints are block-separable by the technology of sequential system of linear equation. Each iteration of this algorithm only needs to solve three systems of linear equations with the same coefficient matrix to obtain the descent direction. Furthermore, under certain conditions, the global convergence is achieved.

scholarly journals Auditors, Underwriters, and Firm Owners’ Interaction in an IPO Environment: The Case of OECD Nations

2021 ◽  
Vol 13 (11) ◽  
pp. 6281
Author(s):  
Sheela Sundarasen ◽  
Kamilah Kamaludin ◽  
Izani Ibrahim ◽  
Usha Rajagopalan ◽  
Nevi Danila
Keyword(s):  
Positive Impact ◽  
Common Law ◽  
Civil Law ◽  
Least Square ◽  
Interactive Effects ◽  
Cross Sectional ◽  
Key Stakeholders ◽  
Research Findings ◽  
Firm Owners ◽  
The Relationship

This study explores the effects of interactions among key stakeholders, i.e., auditors, underwriters, and firm owners on IPOs’ first-day returns in selected OECD nations. It also examines the alteration effects of legal origin (Common law and Civil law) on the relationship between the interacted key stakeholders and IPOs’ first-day returns. A total of four thousand one hundred and sixty-four IPOs from twenty-eight OECD nations are included in this study. Since it is cross-sectional data, a two-stage least square regression is applied. The empirical outcomes indicate that, in general, the interacted reputable underwriters and auditors have a positive impact on IPOs’ first-day return. The relationship is modified between common law and civil law nations, whereby in civil law nations, no significance is demonstrated except for the interaction between the reputable auditors and underwriters. In the common law nation, interactions between reputable auditors and ownership retention have an impact on IPOs’ first-day return. The research findings provide outlooks into an IPO framework for issuers, investors, and regulators. Issuers may want to weigh carefully the costs and benefits of hiring credible auditors and underwriters when going public as they act as signaling agents. As for the investors, they should take into consideration the involvement of reputable underwriters and auditors and the degree to which the IPO firms retain ownership, as the interactive effects give clear signals on firm valuation and IPOs’ first-day returns. Regulators may find the findings informative concerning the creation of a more organized regulatory and financial system that could lead to a deeper and more open financial market.

Mutual Embeddings

2015 ◽  
Vol 15 (01n02) ◽  
pp. 1550001
Author(s):  
ILKER NADI BOZKURT ◽  
HAI HUANG ◽  
BRUCE MAGGS ◽  
ANDRÉA RICHA ◽  
MAVERICK WOO
Keyword(s):  
Iterative Methods ◽  
Lower Bounds ◽  
Linear Equations ◽  
Graph Embedding ◽  
Open Problems ◽  
Linear Arrays ◽  
Systems Of Linear Equations

This paper introduces a type of graph embedding called a mutual embedding. A mutual embedding between two n-node graphs [Formula: see text] and [Formula: see text] is an identification of the vertices of V1 and V2, i.e., a bijection [Formula: see text], together with an embedding of G1 into G2 and an embedding of G2 into G1 where in the embedding of G1 into G2, each node u of G1 is mapped to π(u) in G2 and in the embedding of G2 into G1 each node v of G2 is mapped to [Formula: see text] in G1. The identification of vertices in G1 and G2 constrains the two embeddings so that it is not always possible for both to exhibit small congestion and dilation, even if there are traditional one-way embeddings in both directions with small congestion and dilation. Mutual embeddings arise in the context of finding preconditioners for accelerating the convergence of iterative methods for solving systems of linear equations. We present mutual embeddings between several types of graphs such as linear arrays, cycles, trees, and meshes, prove lower bounds on mutual embeddings between several classes of graphs, and present some open problems related to optimal mutual embeddings.

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