Electronic Research Archive最新文献_第3页

Local porosity of the free boundary in a minimum problem 最小问题中自由边界的局部孔隙率

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023277

Yuwei Hu, Jun Zheng

引用次数: 0

Word-level dual channel with multi-head semantic attention interaction for community question answering 基于词级双通道、多头语义注意交互的社区问答

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023306

Jinmeng Wu, Hanyu Hong, Yaozong Zhang, Y. Hao, Lei Ma, Lei Wang

{"title":"Word-level dual channel with multi-head semantic attention interaction for community question answering","authors":"Jinmeng Wu, Hanyu Hong, Yaozong Zhang, Y. Hao, Lei Ma, Lei Wang","doi":"10.3934/era.2023306","DOIUrl":"https://doi.org/10.3934/era.2023306","url":null,"abstract":"The semantic matching problem detects whether the candidate text is related to a specific input text. Basic text matching adopts the method of statistical vocabulary information without considering semantic relevance. Methods based on Convolutional neural networks (CNN) and Recurrent networks (RNN) provide a more optimized structure that can merge the information in the entire sentence into a single sentence-level representation. However, these representations are often not suitable for sentence interactive learning. We design a multi-dimensional semantic interactive learning model based on the mechanism of multiple written heads in the transformer architecture, which not only considers the correlation and position information between different word levels but also further maps the representation of the sentence to the interactive three-dimensional space, so as to solve the problem and the answer can select the best word-level matching pair, respectively. Experimentally, the algorithm in this paper was tested on Yahoo! and StackEx open-domain datasets. The results show that the performance of the method proposed in this paper is superior to the previous CNN/RNN and BERT-based methods.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70248101","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Color image steganalysis based on quaternion discrete cosine transform 基于四元数离散余弦变换的彩色图像隐写分析

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023209

Meng Xu, X. Luo, Jinwei Wang, Hao Wang

{"title":"Color image steganalysis based on quaternion discrete cosine transform","authors":"Meng Xu, X. Luo, Jinwei Wang, Hao Wang","doi":"10.3934/era.2023209","DOIUrl":"https://doi.org/10.3934/era.2023209","url":null,"abstract":"With the rapid development and application of Internet technology in recent years, the issue of information security has received more and more attention. Digital steganography is used as a means of secure communication to hide information by modifying the carrier. However, steganography can also be used for illegal acts, so it is of great significance to study steganalysis techniques. The steganalysis technology can be used to solve the illegal steganography problem of computer vision and engineering applications technology. Most of the images in the Internet are color images, and steganalysis for color images is a very critical problem in the field of steganalysis at this stage. Currently proposed algorithms for steganalysis of color images mainly rely on the manual design of steganographic features, and the steganographic features do not fully consider the internal connection between the three channels of color images. In recent years, advanced steganography techniques for color images have been proposed, which brings more serious challenges to color image steganalysis. Quaternions are a good tool to represent color images, and the transformation of quaternions can fully exploit the correlation among color image channels. In this paper, we propose a color image steganalysis algorithm based on quaternion discrete cosine transform, firstly, the image is represented by quaternion, then the quaternion discrete cosine transform is applied to it, and the coefficients obtained from the transformation are extracted to design features of the coeval matrix. The experimental results show that the proposed algorithm works better than the typical color image steganalysis algorithm.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70246562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Advancements in AI-driven multilingual comprehension for social robot interactions: An extensive review 人工智能驱动的多语言理解在社交机器人交互中的进展:广泛回顾

4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023334

Yanling Dong, Xiaolan Zhou

引用次数: 0

Dynamical behavior of Benjamin-Bona-Mahony system with finite distributed delay in 3D 三维有限分布时滞Benjamin-Bona-Mahony系统的动力学行为

4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.20233348

Lingrui Zhang, Xue-zhi Li, Keqin Su

引用次数: 0

Transition characteristics of the dynamic behavior of a vehicle wheel-rail vibro-impact system 车辆轮轨振动冲击系统动力学特性的过渡特性

4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023357

Yang Jin, Wanxiang Li, Hongbing Zhang

{"title":"Transition characteristics of the dynamic behavior of a vehicle wheel-rail vibro-impact system","authors":"Yang Jin, Wanxiang Li, Hongbing Zhang","doi":"10.3934/era.2023357","DOIUrl":"https://doi.org/10.3934/era.2023357","url":null,"abstract":"<abstract> A two-degree-of-freedom vehicle wheel-rail impact vibration system model is developed, and the equivalent impact stiffness and damping of the rail are fitted applying ABAQUS, taking into account the high and low irregularity generated by the welded joints of the rail. A wheel-rail periodic interface with fixed impact was selected as the Poincaré map, and the fourth-order Runge-Kutta numerical method with variable step size was used to solve the system response. The dynamic characteristics of the system are investigated using a combination of the Bifurcation diagram, Phase plane diagram, the Poincaré map, the Time-domain diagram and the Frequency-domain diagram. It is verified that the vehicle wheel-rail impact vibration system has Hopf bifurcation, Neimark-Sacker bifurcation, Period-doubling bifurcation and Boundary crisis, and there are rich and complex nonlinear dynamic behavior changes. The research on the bifurcation and chaos characteristics of vehicle wheel-rail impact vibration systems can provide a reference for improving the stability of vehicle operation in engineering practice as well as the prediction and control of chaos in vehicle vibration reduction design. </abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"161 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134888585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Investigation of the global dynamics of two exponential-form difference equations systems 两个指数型差分方程组的全局动力学研究

4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023338

Merve Kara

{"title":"Investigation of the global dynamics of two exponential-form difference equations systems","authors":"Merve Kara","doi":"10.3934/era.2023338","DOIUrl":"https://doi.org/10.3934/era.2023338","url":null,"abstract":"<abstract>In this study, we investigate the boundedness, persistence of positive solutions, local and global stability of the unique positive equilibrium point and rate of convergence of positive solutions of the following difference equations systems of exponential forms: <disp-formula> <label/> <tex-math id=\"FE1\"> begin{document}$ begin{equation*} Upsilon_{n+1} = frac{Gamma_{1}+delta_{1}e^{-Psi_{n-1}}}{Theta_{1}+Psi_{n}}, Psi_{n+1} = frac{Gamma_{2}+delta_{2}e^{-Omega_{n-1}}}{Theta_{2}+Omega_{n}}, Omega_{n+1} = frac{Gamma_{3}+delta_{3}e^{-Upsilon_{n-1}}}{Theta_{3}+Upsilon_{n}}, end{equation*} $end{document} </tex-math></disp-formula> <disp-formula> <label/> <tex-math id=\"FE2\"> begin{document}$ begin{equation*} Upsilon_{n+1} = frac{Gamma_{1}+delta_{1}e^{-Psi_{n-1}}}{Theta_{1}+Upsilon_{n}}, Psi_{n+1} = frac{Gamma_{2}+delta_{2}e^{-Omega_{n-1}}}{Theta_{2}+Psi_{n}}, Omega_{n+1} = frac{Gamma_{3}+delta_{3}e^{-Upsilon_{n-1}}}{Theta_{3}+Omega_{n}}, end{equation*} $end{document} </tex-math></disp-formula> for $ nin mathbb{N}_{0} $, where the initial conditions $ Upsilon_{-j} $, $ Psi_{-j} $, $ Omega_{-j} $, for $ jin{0, 1} $ and the parameters $ Gamma_{i} $, $ delta_{i} $, $ Theta_{i} $ for $ iin{1, 2, 3} $ are positive constants.</abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135007466","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation 耦合希格斯场方程的里卡蒂-伯努利辅助常微分方程解法

4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023342

Yi Wei

引用次数: 0

Adaptive learning nonsynchronous control of nonlinear hidden Markov jump systems with limited mode information 有限模态信息非线性隐马尔可夫跳变系统的自适应学习非同步控制

4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023340

Chao Ma, Hang Gao, Wei Wu

引用次数: 0

On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance 质粒介导的头孢替弗耐药性数学建模中定性分析的贡献