Electronic Research Archive最新文献_第3页

Decision making in railway interlocking systems based on calculating the remainder of dividing a polynomial by a set of polynomials 基于多项式除以多项式集余数计算的铁路联锁系统决策

4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023313

Antonio Hernando, Eugenio Roanes-Lozano, José Luis Galán-García, Gabriel Aguilera-Venegas

{"title":"Decision making in railway interlocking systems based on calculating the remainder of dividing a polynomial by a set of polynomials","authors":"Antonio Hernando, Eugenio Roanes-Lozano, José Luis Galán-García, Gabriel Aguilera-Venegas","doi":"10.3934/era.2023313","DOIUrl":"https://doi.org/10.3934/era.2023313","url":null,"abstract":"<abstract>Decision-making in a railway station regarding the compatibility of the positions of the switches of the turnouts and the indications (proceed/stop) of the railway colour light signals is a safety-critical issue that is considered very labor-intensive. Different authors have proposed alternative solutions to automate its supervision, which is performed by the so-called railway interlocking systems. The classic railway interlocking systems are route-based and their compatibility is predetermined (usually by human experts): only some chosen routes are simultaneously allowed. Some modern railway interlocking systems are geographical and make decisions on the fly, but are unsuitable if the station is very large and the number of trains is high. In this paper, we present a completely new algebraic model for decision-making in railway interlocking systems, based on other computer algebra techniques, that bypasses the disadvantages of the approaches mentioned above (its performance does not depend on the number of trains in the railway station and can be used in large railway stations). The main goal of this work is to provide a mathematical solution to the interlocking problems. We prove that our approach solves it in linear time. Although our approach is interesting from a theoretical perspective, it has a significant limitation: it can hardly be adopted in an actual interlocking implementation, mainly due to the heavy certification requirements for this kind of safety-critical application. Nevertheless, the results may be useful for simulations that do not require certification credit.</abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135498114","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

Some identities of degenerate multi-poly-Changhee polynomials and numbers 退化多重多项式-长熙多项式与数的一些恒等式

4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023367

Sang Jo Yun, Sangbeom Park, Jin-Woo Park, Jongkyum Kwon

引用次数: 0

F-LSTM: Federated learning-based LSTM framework for cryptocurrency price prediction F-LSTM:用于加密货币价格预测的基于联邦学习的LSTM框架

4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023330

Nihar Patel, Nakul Vasani, Nilesh Kumar Jadav, Rajesh Gupta, Sudeep Tanwar, Zdzislaw Polkowski, Fayez Alqahtani, Amr Gafar

{"title":"F-LSTM: Federated learning-based LSTM framework for cryptocurrency price prediction","authors":"Nihar Patel, Nakul Vasani, Nilesh Kumar Jadav, Rajesh Gupta, Sudeep Tanwar, Zdzislaw Polkowski, Fayez Alqahtani, Amr Gafar","doi":"10.3934/era.2023330","DOIUrl":"https://doi.org/10.3934/era.2023330","url":null,"abstract":"<abstract>In this paper, a distributed machine-learning strategy, i.e., federated learning (FL), is used to enable the artificial intelligence (AI) model to be trained on dispersed data sources. The paper is specifically meant to forecast cryptocurrency prices, where a long short-term memory (LSTM)-based FL network is used. The proposed framework, i.e., <italic>F-LSTM</italic> utilizes FL, due to which different devices are trained on distributed databases that protect the user privacy. Sensitive data is protected by staying private and secure by sharing only model parameters (weights) with the central server. To assess the effectiveness of <italic>F-LSTM</italic>, we ran different empirical simulations. Our findings demonstrate that <italic>F-LSTM</italic> outperforms conventional approaches and machine learning techniques by achieving a loss minimal of $ 2.3 times 10^{-4} $. Furthermore, the <italic>F-LSTM</italic> uses substantially less memory and roughly half the CPU compared to a solely centralized approach. In comparison to a centralized model, the <italic>F-LSTM</italic> requires significantly less time for training and computing. The use of both FL and LSTM networks is responsible for the higher performance of our suggested model (<italic>F-LSTM</italic>). In terms of data privacy and accuracy, <italic>F-LSTM</italic> addresses the shortcomings of conventional approaches and machine learning models, and it has the potential to transform the field of cryptocurrency price prediction.</abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136257154","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

Local well-posedness of perturbed Navier-Stokes system around Landau solutions 朗道解周围摄动Navier-Stokes系统的局部适定性

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/ERA.2021010

Jingjing Zhang, Ting Zhang

引用次数: 3

Probabilistic invertible neural network for inverse design space exploration and reasoning 基于概率可逆神经网络的逆设计空间探索与推理

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023043

Yiming Zhang, Zhiwei Pan, Shuyou Zhang, Na Qiu

引用次数: 1

A modified FGL sparse canonical correlation analysis for the identification of Alzheimer's disease biomarkers 一种用于识别阿尔茨海默病生物标志物的改进FGL稀疏典型相关分析

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023044

Shuaiqun Wang, Hui Chen, Wei Kong, Xin-gui Wu, Yafei Qian, Kai Wei

{"title":"A modified FGL sparse canonical correlation analysis for the identification of Alzheimer's disease biomarkers","authors":"Shuaiqun Wang, Hui Chen, Wei Kong, Xin-gui Wu, Yafei Qian, Kai Wei","doi":"10.3934/era.2023044","DOIUrl":"https://doi.org/10.3934/era.2023044","url":null,"abstract":"Imaging genetics mainly finds the correlation between multiple datasets, such as imaging and genomics. Sparse canonical correlation analysis (SCCA) is regarded as a useful method that can find connections between specific genes, SNPs, and diseased brain regions. Fused pairwise group lasso-SCCA (FGL-SCCA) can discover the chain relationship of genetic variables within the same modality or the graphical relationship between images. However, it can only handle genetic and imaging data from a single modality. As Alzheimer's disease is a kind of complex and comprehensive disease, a single clinical indicator cannot accurately reflect the physiological process of the disease. It is urgent to find biomarkers that can reflect AD and more synthetically reflect the physiological function of disease development. In this study, we proposed a multimodal sparse canonical correlation analysis model FGL-JSCCAGNR combined FGL-SCCA and Joint SCCA (JSCCA) method which can process multimodal data. Based on the JSCCA algorithm, it imposes a GraphNet regularization penalty term and introduces a fusion pairwise group lasso (FGL), and a graph-guided pairwise group lasso (GGL) penalty term, the algorithm in this paper can combine data between different modalities, Finally, the Annual Depression Level Total Score (GDSCALE), Clinical Dementia Rating Scale (GLOBAL CDR), Functional Activity Questionnaire (FAQ) and Neuropsychiatric Symptom Questionnaire (NPI-Q), these four clinical data are embedded in the model by linear regression as compensation information. Both simulation data and real data analysis show that when FGI-JSCCAGNR is applied to the imaging genetics study of Alzheimer's patients, the model presented here can detect more significant genetic variants and diseased brain regions. It provides a more robust theoretical basis for clinical researchers.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70244036","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

Pullback dynamics and robustness for the 3D Navier-Stokes-Voigt equations with memory 三维记忆Navier-Stokes-Voigt方程的回拉动力学和鲁棒性

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023046

Keqin Su, Rong Yang

引用次数: 0

Research on en route capacity evaluation model based on aircraft trajectory data 基于飞机轨迹数据的航路容量评估模型研究

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023087

J. Ren, Shiru Qu, Lili Wang, Yu Wang, Tingting Lu, Lijing Ma

{"title":"Research on en route capacity evaluation model based on aircraft trajectory data","authors":"J. Ren, Shiru Qu, Lili Wang, Yu Wang, Tingting Lu, Lijing Ma","doi":"10.3934/era.2023087","DOIUrl":"https://doi.org/10.3934/era.2023087","url":null,"abstract":"For the sake of refined assessment of airspace operation status, improvement of the en route air traffic management performance, and alleviation of the imbalance of demand-capacity and airspace congestion, an en route accessible capacity evaluation model (based on aircraft trajectory data) is proposed in this paper. Firstly, from the perspective of flux, the en route capacity is defined and expanded from a two-dimensional concept to a three-dimensional concept. Secondly, based on the indicators of spatial flow and instantaneous density, an evaluation model of en route capacity is given. Finally, a case study is performed to validate the applicability and feasibility of the model. Results show that the en route accessible capacity, instantaneous density, and spatial flow can describe the temporal and spatial distribution of air traffic flow more precisely, as compared to the conventional indicators, such as route capacity, density, and flow. The proposed model envisages three innovations: (ⅰ) the definition of airspace accessible capacity with reference to capacity of road traffic, (ⅱ) the computation model for flux-based airspace accessible capacity and en route accessible capacity, and (ⅲ) two indicators of en route characteristics named instantaneous density and spatial flow are introduced for evaluating the micro-state of the en route. Furthermore, because of the capacity depiction of the spatial and temporal distribution of air traffic congestion within an airspace unit, this model can also help air traffic controllers balance the distribution of traffic flow density, reduce the utilization rate of horizontal airspace, and resolve flight conflicts on air routes in advance.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70244147","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 effect credit term structure of monetary policy on firms' "short-term debt for long-term investment" behavior: empirical evidence from China 货币政策信贷期限结构对企业“以短期债务换长期投资”行为的影响:来自中国的经验证据

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023076

Liping Zheng, Jia Liao, Yuan Yu, Bin Mo, Yun Liu

引用次数: 1