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Meet-in-the-middle differential fault analysis on Midori Midori的中接差动故障分析
4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023344
Chunyan An, Wei Bai, Donglei Zhang

Midori is a lightweight block cipher designed by Banik et al. and presented at the ASIACRYPT 2015 conference. According to the block size, it consists of two algorithms, denoted as Midori-64 and Midori-128. Midori generates 8-bit S-Boxes from 4-bit S-Boxes and applies almost MDS matrices instead of MDS matrices. In this paper, we introduce the meet-in-the-middle fault attack model in the 4-round cell-oriented fault propagation trail and reduce the key space in the last round by $ 2^{45.71} $ and $ 2^{39.86} $ for Midori-64 and Midori-128, respectively. For Midori-64, we reduce the time complexity from $ 2^{80} $ to $ 2^{28} $, $ 2^{32} $ and $ 2^{56} $ for the different single fault injection approaches. For Midori-128, we provide a 4-round fault attack method, which slightly increases the complexity compared to previous attacks. Our results indicate that the first and last four rounds of Midori must be protected to achieve its security.

< < >Midori是Banik等人设计的轻量级分组密码,并在ASIACRYPT 2015会议上发表。根据块大小分为两种算法,分别为Midori-64和Midori-128。Midori从4位s - box生成8位s - box,并几乎应用MDS矩阵而不是MDS矩阵。本文在4轮面向cell的故障传播轨迹中引入了中间相遇故障攻击模型,对Midori-64和Midori-128分别减少了最后一轮的密钥空间$ 2^{45.71}$和$ 2^{39.86}$。对于Midori-64,对于不同的单故障注入方法,我们将时间复杂度从$ 2^{80}$降低到$ 2^{28}$,$ 2^{32}$和$ 2^{56}$。对于Midori-128,我们提供了一个4轮的故障攻击方法,与之前的攻击相比,稍微增加了复杂度。我们的研究结果表明,为了实现Midori的安全性,必须对前四轮和后四轮进行保护。</p></abstract>
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引用次数: 0
Fractional integral associated with the Schrödinger operators on variable exponent space 变指数空间上与Schrödinger算子相关的分数积分
4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023345
Huali Wang, Ping Li

Let $ mathcal{L} = -Delta+V $ be the Schrödinger operators on $ mathbb{R}^n $ with nonnegative potential $ V $ belonging to the reverse Hölder class $ RH_q $ for some $ q geq frac{n}{2} $. We prove the boundedness of fractional integral operator $ mathcal{I}_alpha $ related to the Schrödinger operators $ mathcal{L} $ from strong and weak variable exponent Lebesgue spaces into suitable variable exponent Lipschitz type spaces.

&lt;abstract&gt;&lt; &gt;设$ mathcal{L} = -Delta+V $为$ mathbb{R}^n $上的Schrödinger运算符,其非负势$ V $对于某些$ q geq frac{n}{2} $属于反向Hölder类$ RH_q $。证明了从强、弱变指数Lebesgue空间到合适的变指数Lipschitz型空间中与Schrödinger算子$ mathcal{L} $相关的分数阶积分算子$ mathcal{I}_alpha $的有界性。&lt;/p&gt;&lt;/abstract&gt;
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引用次数: 0
Ensemble deep learning-based lane-changing behavior prediction of manually driven vehicles in mixed traffic environments 基于集成深度学习的混合交通环境下人工驾驶车辆变道行为预测
4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023315
Boshuo Geng, Jianxiao Ma, Shaohu Zhang

Accurately predicting lane-changing behaviors (lane keeping, left lane change and right lane change) in real-time is essential for ensuring traffic safety, particularly in mixed-traffic environments with both autonomous and manual vehicles. This paper proposes a fused model that predicts vehicle lane-changing behaviors based on the road traffic environment and vehicle motion parameters. The model combines the ensemble learning XGBoost algorithm with the deep learning Bi-GRU neural network. The XGBoost algorithm first checks whether the present environment is safe for the lane change and then evaluates the likelihood that the target vehicle will make a lane change. Subsequently, the Bi-GRU neural network is used to accurately forecast the lane-changing behaviors of nearby vehicles using the feasibility of lane-changing and the vehicle's motion status as input features. The highD trajectory dataset was utilized for training and testing the model. The model achieved an accuracy of 98.82%, accurately predicting lane changes with an accuracy exceeding 87% within a 2-second timeframe. By comparing with other methods and conducting experimental validation, we have demonstrated the superiority of the proposed model, thus, the research achievement is of utmost significance for the practical application of autonomous driving technology.

实时准确预测变道行为(车道保持、左变道和右变道)对于确保交通安全至关重要,特别是在自动和手动车辆混合交通环境中。提出了一种基于道路交通环境和车辆运动参数的车辆变道行为预测融合模型。该模型将集成学习XGBoost算法与深度学习Bi-GRU神经网络相结合。XGBoost算法首先检查当前环境是否适合变道,然后评估目标车辆变道的可能性。随后,利用Bi-GRU神经网络以变道可行性和车辆运动状态为输入特征,准确预测附近车辆的变道行为。利用高d轨迹数据集对模型进行训练和测试。该模型达到了98.82%的准确率,在2秒的时间内准确预测车道变化的准确率超过87%。通过与其他方法的比较和实验验证,我们证明了所提模型的优越性,因此,研究成果对自动驾驶技术的实际应用具有重要意义。
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引用次数: 0
Phased mission reliability analysis of unmanned ship systems 无人船系统阶段任务可靠性分析
4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023325
Xu Zhan, Yang Yong, Wang Xiao

With the development of unmanned ships, their use in production is becoming more and more common. However, the unmanned ship work cycle is long and the work environment is complex, and it is still very difficult to calculate the phased mission reliability without unmanned ship. We analyze the unmanned ship phased mission reliability based on the binary decision diagram. Moreover, redundancy is used as the unmanned ship reliability optimization scheme. Considering the resource limitation, and the capacity of unmanned ship, the redundancy allocation scheme of unmanned ship is established. The redundancy allocation scheme is solved by marginal optimization algorithm. Finally, a case study is established to analyze the effectiveness and practicality of the proposed method.

& lt; abstract>随着无人驾驶船舶的发展,其在生产中的应用也越来越普遍。然而,无人船工作周期长,工作环境复杂,无无人船的阶段任务可靠性计算仍然非常困难。基于二元决策图分析了无人船阶段任务的可靠性。并将冗余度作为无人船可靠性优化方案。考虑到资源的限制和无人船的容量,建立了无人船冗余分配方案。采用边际优化算法求解冗余分配方案。最后,通过实例分析了所提方法的有效性和实用性。& lt; / abstract>
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引用次数: 0
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 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023043
Yiming Zhang, Zhiwei Pan, Shuyou Zhang, Na Qiu
Invertible neural network (INN) is a promising tool for inverse design optimization. While generating forward predictions from given inputs to the system response, INN enables the inverse process without much extra cost. The inverse process of INN predicts the possible input parameters for the specified system response qualitatively. For the purpose of design space exploration and reasoning for critical engineering systems, accurate predictions from the inverse process are required. Moreover, INN predictions lack effective uncertainty quantification for regression tasks, which increases the challenges of decision making. This paper proposes the probabilistic invertible neural network (P-INN): the epistemic uncertainty and aleatoric uncertainty are integrated with INN. A new loss function is formulated to guide the training process with enhancement in the inverse process accuracy. Numerical evaluations have shown that the proposed P-INN has noticeable improvement on the inverse process accuracy and the prediction uncertainty is reliable.
可逆神经网络(INN)是一种很有前途的反设计优化工具。当从给定的系统响应输入生成前向预测时,INN可以在没有太多额外成本的情况下实现反向过程。INN的逆过程定性地预测了给定系统响应的可能输入参数。为了对关键工程系统进行设计空间探索和推理,需要从逆过程中进行准确的预测。此外,INN预测缺乏对回归任务的有效不确定性量化,这增加了决策的挑战。本文提出了一种概率可逆神经网络(P-INN),它将认知不确定性和任意不确定性结合在一起。提出了一种新的损失函数来指导训练过程,提高了逆过程的精度。数值计算结果表明,所提出的P-INN方法对逆过程精度有明显提高,预测不确定性可靠。
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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 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023044
Shuaiqun Wang, Hui Chen, Wei Kong, Xin-gui Wu, Yafei Qian, Kai Wei
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.
成像遗传学主要寻找成像和基因组学等多个数据集之间的相关性。稀疏典型相关分析(SCCA)被认为是一种有效的方法,可以发现特定基因、snp和病变脑区域之间的联系。FGL-SCCA (Fused pairwise group lasso-SCCA)可以发现同一模态内遗传变量的链关系或图像之间的图形关系。然而,它只能处理来自单一模式的遗传和成像数据。阿尔茨海默病是一种复杂的综合性疾病,单一的临床指标不能准确反映疾病的生理过程。迫切需要寻找能够反映AD的生物标志物,更综合地反映疾病发展的生理功能。本研究提出了一种结合FGL-SCCA和Joint SCCA (JSCCA)方法的多模态稀疏典型相关分析模型FGL-JSCCAGNR,可以处理多模态数据。本文算法在JSCCA算法的基础上,引入GraphNet正则化惩罚项,并引入融合两两组套索(FGL)和图导两两组套索(GGL)惩罚项,实现了不同模式间数据的组合。最后,将年度抑郁水平总分(GDSCALE)、临床痴呆评定量表(GLOBAL CDR)、功能活动问卷(FAQ)和神经精神症状问卷(NPI-Q)这四个临床数据通过线性回归作为补偿信息嵌入到模型中。仿真数据和真实数据分析均表明,将FGI-JSCCAGNR应用于阿尔茨海默病患者的成像遗传学研究时,本文模型可以检测到更显著的遗传变异和病变脑区。为临床研究者提供了更为有力的理论依据。
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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 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023046
Keqin Su, Rong Yang
The tempered pullback dynamics and robustness of the 3D Navier-Stokes-Voigt equations with memory and perturbed external force are considered in this paper. Based on the global well-posedness results and energy estimates involving memory, a suitable tempered universe is constructed, the robustness is finally established via the upper semi-continuity of tempered pullback attractors when the perturbation parameter epsilon tends to zero.
研究了具有记忆和摄动外力的三维Navier-Stokes-Voigt方程的回调动力学和鲁棒性。基于全局适定性结果和涉及记忆的能量估计,构造了一个合适的调质宇宙,最后在扰动参数epsilon趋于零时,通过调质回拉吸引子的上半连续性建立了鲁棒性。
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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 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023087
J. Ren, Shiru Qu, Lili Wang, Yu Wang, Tingting Lu, Lijing Ma
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.
为了精细化空域运行状态评估,提高航路空中交通管理绩效,缓解需求容量失衡和空域拥堵,本文提出了一种基于飞机轨迹数据的航路可达容量评估模型。首先,从通量的角度对途中容量进行定义,并将其从二维概念扩展到三维概念。其次,基于空间流量和瞬时密度指标,建立了道路通行能力评价模型;最后,通过实例验证了模型的适用性和可行性。结果表明,与航线容量、密度和流量等常规指标相比,航路可达容量、瞬时密度和空间流量能更准确地描述空中交通流的时空分布。该模型提出了三个创新点:(ⅰ)参考道路交通容量定义空域通达能力;(ⅱ)基于通量的空域通达能力和航路通达能力计算模型;(ⅲ)引入瞬时密度和空间流量两个航路特征指标来评价航路微观状态。此外,由于该模型对空域单元内空中交通拥堵时空分布的容量描述,还可以帮助空中交通管制员平衡交通流密度分布,降低水平空域利用率,提前解决航线上的飞行冲突。
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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 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023076
Liping Zheng, Jia Liao, Yuan Yu, Bin Mo, Yun Liu
This paper examines the effects and mechanism paths of monetary policy on firms' "short-term debt for long-term investment (SDFLI)" behavior using panel data of Chinese A-share listed firms from 2007-2019. The findings indicate that loose monetary policy suppresses corporate SDFLI behavior by lengthening corporate credit maturity structure through the credit maturity structure channel. In addition, heterogeneity analysis shows that loose monetary policy significantly inhibits the SDFLI behavior of state-owned enterprises(SOEs), non-high-tech firms, and firms in regions with high bank competition levels through the credit term structure channel, and the monetary policy credit term structure channel fails for non-state-owned enterprises(non-SOEs), high-tech firms, and firms in regions with low bank competition levels. The results of the heterogeneity analysis validate the plausibility that monetary policy affects firms' SDFLI behavior through the credit term structure channel.
本文利用2007-2019年中国a股上市公司面板数据,考察了货币政策对企业“短期债务换长期投资”行为的影响及其机制路径。研究发现,宽松货币政策通过信贷期限结构渠道延长企业信用期限结构,从而抑制企业SDFLI行为。此外,异质性分析表明,宽松货币政策通过信贷期限结构渠道显著抑制国有企业、非高新技术企业和银行竞争水平高的地区企业的SDFLI行为,货币政策信贷期限结构渠道对非国有企业、高新技术企业和银行竞争水平低的地区企业的SDFLI行为失效。异质性分析的结果验证了货币政策通过信贷期限结构渠道影响企业SDFLI行为的合理性。
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引用次数: 1
Structural optimization study based on crushing of semi-rigid base 基于半刚性基层破碎的结构优化研究
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023091
Liting Yu, Lenan Wang, J. Pei, Rui Li, Jiu-peng Zhang, Shihui Cheng
Semi-rigid base materials are used in all pavement grades and are shown to have excellent stability. Furthermore, semi-rigid bases are known for their stiffness and strong frost resistance. However, these semi-rigid base materials are starting to require significant levels of maintenance and repair due to wear and tear. Maintenance is performed primarily to add pavement and resurfacing material, with the hope that the resurfacing layer can withstand large tensile and shear forces at the cracks of the base, thus increasing the overall durability of the pavement. Furthermore, crushing technology used for cement panel maintenance can be used to eliminate cracks in the overlay layer thus improving overall service life expectancy. The studies below study the application of crushing technology to a semi-rigid base and the subsequent alternation to the structural design of the pavement. Furthermore, the mechanical index sensitivities of pavement structures post-rubblization were analyzed using finite elements. Mechanical indexes with high sensitivity were subsequently adopted as structural damage control indexes. These indexes were used to optimize overlay structure and provide a reference for structural design post-rubblization.
半刚性基层材料用于所有路面等级,并显示出优异的稳定性。此外,半刚性基以其刚度和强抗冻性而闻名。然而,由于磨损,这些半刚性基础材料开始需要大量的维护和维修。维修主要是为了增加路面和重铺材料,希望重铺层能够承受基层裂缝处较大的拉伸和剪切力,从而增加路面的整体耐久性。此外,用于水泥板维护的破碎技术可用于消除覆盖层中的裂缝,从而提高整体使用寿命。下面的研究研究了破碎技术在半刚性基层中的应用,以及随后在路面结构设计中的应用。在此基础上,采用有限元方法对路面结构的力学指标敏感性进行了分析。采用灵敏度较高的力学指标作为结构损伤控制指标。利用这些指标对加铺层结构进行优化,为加铺层后的结构设计提供参考。
{"title":"Structural optimization study based on crushing of semi-rigid base","authors":"Liting Yu, Lenan Wang, J. Pei, Rui Li, Jiu-peng Zhang, Shihui Cheng","doi":"10.3934/era.2023091","DOIUrl":"https://doi.org/10.3934/era.2023091","url":null,"abstract":"Semi-rigid base materials are used in all pavement grades and are shown to have excellent stability. Furthermore, semi-rigid bases are known for their stiffness and strong frost resistance. However, these semi-rigid base materials are starting to require significant levels of maintenance and repair due to wear and tear. Maintenance is performed primarily to add pavement and resurfacing material, with the hope that the resurfacing layer can withstand large tensile and shear forces at the cracks of the base, thus increasing the overall durability of the pavement. Furthermore, crushing technology used for cement panel maintenance can be used to eliminate cracks in the overlay layer thus improving overall service life expectancy. The studies below study the application of crushing technology to a semi-rigid base and the subsequent alternation to the structural design of the pavement. Furthermore, the mechanical index sensitivities of pavement structures post-rubblization were analyzed using finite elements. Mechanical indexes with high sensitivity were subsequently adopted as structural damage control indexes. These indexes were used to optimize overlay structure and provide a reference for structural design post-rubblization.","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":"70244242","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: 1
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