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Novel Scheme for Robust Confusion Component Selection Based on Pythagorean Fuzzy Set

Computers, Materials & Continua 2023年第3期74卷 6523-6534页

作者： Nabilah Abughazalah Mohsin Iqbal Majid Khan Iqtadar Hussain Department of Mathematical Sciences College of SciencePrincess Nourah bint Abdulrahman UniversityP.O.Box 84428Riyadh11671Saudi Arabia Department of Mathematics&Statistics Riphah International UniversityIslamabadPakistan Department of Applied Mathematics&Statistics Institute of Space TechnologyIslamabadPakistan Mathematics Program Department of MathematicsStatistics and PhysicsCollege of Arts and SciencesQatar University2713DohaQatar Statistical Consulting Unit College of Arts and ScienceQatar UniversityDohaQatar

The substitution box,often known as an S-box,is a nonlinear component that is a part of several block *** purpose is to protect cryptographic algorithms from a variety of cryptanalytic assaults.A Multi-Criteria Decision Making(MCDM)problem has a complex selection procedure because of having many options and criteria to choose *** of this,statistical methods are necessary to assess the performance score of each S-box and decide which option is the best one available based on this *** the Pythagorean Fuzzy-based Technique for Order of Preference by Similarity to Ideal Solution(TOPSIS)method,the major objective of this investigation is to select the optimal S-box to be implemented from a pool of twelve key *** the help of the Pythagorean fuzzy set(PFS),the purpose of this article is to evaluate whether this nonlinear component is suitable for use in a variety of encryption *** this article,we have considered various characteristics of S-boxes,including nonlinearity,algebraic degree,strict avalanche criterion(SAC),absolute indicator,bit independent criterion(BIC),sum of square indicator,algebraic immunity,transparency order,robustness to differential cryptanalysis,composite algebraic immunity,signal to noise ratio-differential power attack(SNR-DPA),and confusion coefficient variance on some standard S-boxes that are Advanced Encryption Following this,the findings of the investigation are changed into Pythagorean fuzzy numbers in the shape of a *** matrix is then subjected to an analysis using the TOPSIS method,which is dependent on the Pythagorean fuzzy set,to rank the most suitable S-box for use in encryption applications.

关键词： Decision making substitution box TOPSIS multi-criterion decision making fuzzy set Pythagorean fuzzy set

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Pedestrian Evacuation Modeling Using Agent-Based Model and Social-Force Model 10

Pedestrian Evacuation Modeling Using Agent-Based Model and S...

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10th Asian Physics Symposium 2023, APS 2023

作者： Firdausyi, Alya Mutiara Dini, Septian Ulan Nurafni, Sevi Viridi, Sparisoma Master Program in Computational Science Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung Bandung40132 Indonesia Master Program in Physics Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung Bandung40132 Indonesia Department of Physics Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung 40132 Indonesia

Good emergency management is essential in planning events that have the potential to endanger lives, one of which is preparing for an effective and efficient evacuation. Evacuation evaluation using a fire drill is not optimal because it does not describe the emergency. Therefore, agent-based modeling is carried out to see interactions between individuals and their environment during evacuation. ABM (Agent-Based Modeling) is combined with a social-force model, which is the source of the agent's movement style toward goals and avoiding obstacles. The simulation is carried out using NetLogo 6.3.0 software, which can represent agents spread across a 2-dimensional room with variations in room size, exits, and the number of agents involved. Several characteristics are given to the agent to cause heterogeneity, including age categories in the form of children, adults, people over 70, and people with disabilities, which will determine the agent's walking speed. The measurements observed were the average duration of evacuation and the average speed of agents. From the simulation results, it can be concluded that using the social force model will lead to the emergence of collective behavior, such as clogging and arching in agents. The exact population density in different room areas will affect the evacuation duration, whereas a larger room area will cause the agent to travel a greater distance to the exit. An increase in evacuation duration will accelerate rapidly at low densities and slow down as density increases. © Published under licence by IOP Publishing Ltd.

关键词： Population statistics

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A Compact Eulerian Interface-Capturing Algorithm for Compressible Multimaterial Elastic-Plastic Flows with Mie-Gr uneisen Equation of State

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Advances in applied mathematics and Mechanics 2023年第2期15卷 485-521页

作者： Xiang Li Dong-Jun Ma Nan-Sheng Liu Pei Wang Institute of Applied Physics and Computational Mathematics Beijing 100094China Department of Modern Mechanics University of Science and Technology of ChinaHefeiAnhui 230027China Center for Applied Physics and Technology Peking UniversityBeijing 100871China

This paper presents an Eulerian diffuse-interface method using a high-order compact difference scheme for simulating elastic-plastic flows with the Mie–Gruneisen(MG)equation of state(EoS).For simulations of multimaterial problems,numerical errors were generated in the material discontinuities owing to inconsistent treatment of the convective *** on the normal-stress-based mechanical equilibrium assumption for elastic-plastic solids,we introduce an improved form of the consistent localized artificial diffusivity(LAD)method to ensure an oscillation-free interface for velocity and normal *** proposed algorithm uses a hyperelastic model.A mixture type of the model system was formed by combining the conservation equations for the basic conserved variables,an equation of a unified deviatoric tensor describing solid deformation,and an additional set of equations for solving the material quantities in the MG *** one-and two-dimensional problems with various discontinuities,including the elastic-plastic Richtmyer–Meshkov instability,were considered for testing the proposed method.

关键词： Multimaterial elastic-plastic flow Eulerian solid-dynamics high-order accurate schemes compact finite difference localized artificial diffusivity

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A Qualitative Study of the Dynamic Behavior for Adaptive Gradient Algorithms 2

A Qualitative Study of the Dynamic Behavior for Adaptive Gra...

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2nd Mathematical and Scientific Machine Learning Conference, MSML 2021

作者： Ma, Chao Wu, Lei Weinan, E. Department of Mathematics Stanford University United States Program in Applied and Computational Mathematics Princeton University United States Program in Applied and Computational Mathematics Department of Mathematics Princeton University United States

The dynamic behavior of RMSprop and Adam algorithms is studied through a combination of careful numerical experiments and theoretical explanations. Three types of qualitative features are observed in the training loss curve: fast initial convergence, oscillations, and large spikes in the late phase. The sign gradient descent (signGD) flow, which is the limit of Adam when taking the learning rate to 0 while keeping the momentum parameters fixed, is used to explain the fast initial convergence. For the late phase of Adam, three different types of qualitative patterns are observed depending on the choice of the hyper-parameters: oscillations, spikes, and divergence. In particular, Adam converges much smoother and even faster when the values of the two momentum factors are close to each other. This observation is particularly important for scientific computing tasks, for which the training process usually proceeds into the high precision regime. © 2021 C. Ma, L. Wu & W. E.

关键词： Gradient methods

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Terahertz Velocity and Spectroscopy Sensing with Self-mixing Interference of Quantum Cascade Lasers

Terahertz Velocity and Spectroscopy Sensing with Self-mixing...

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Optical Sensors, SENSORS 2024 - Part of Optica Sensing Congress

作者： Cai, Jiaxuan Xie, Yan Yang, Ning Chu, Weidong Wang, Yingxin Zhao, Ziran Institute of Applied Physics and Computational Mathematics Beijing100088 China National Key Laboratory of Computational Physics Beijing100088 China Department of Engineering Physics Tsinghua University Beijing100084 China

Coherence measurement system based on self-mixing interferometry with quantum cascade lasers could be employed for various of sensing applications, such as multi-target velocity and broadband terahertz spectroscopy se... 详细信息

ISBN: (纸本)9781957171364

关键词： Quantum cascade lasers

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Achieving Tunable and High-Performance Four-THz-Frequency Photodetection by Near-Field Pillars 5th

Achieving Tunable and High-Performance Four-THz-Frequency Ph...

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5th China and International Young Scientist Terahertz Conference, YTHZ 2024

作者： Wang, Yiwei Bai, Peng Yang, Ning Chu, Weidong Xie, Yan Wang, Yingxin Chen, Meng Zhao, Ziran Institute of Applied Physics and Computational Mathematics Beijing100088 China National Key Laboratory of Computational Physics Beijing100088 China Department of Engineering Physics Tsinghua University Beijing100084 China

ISBN: (纸本)9789819739127

Through theoretical simulations, we exploit an array of metal-dielectric-metal pillars which can surprisingly tune the properties of photoresponsivity spectrum by changing periods. That is, the complexity of processing can be mitigated by controlling periods instead of patch sizes. In addition, one can envision a significant enhancement of the responsivity (peak value at 0.128 A/W) compared with the unoptimized GaAs-based device, resulting in a low noise equivalent power (minimum at 0.703 pWHz−1/2) and high specific detectivity (peak value at 6.10 × 1010 Jones), which indicates that a higher operating temperature is possible. Our discovery demonstrates an efficient strategy to simplify the workflow of patchwork design for our ratchet and up-version imaging systems. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.

关键词： Gallium arsenide

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Non-Hermitian dynamics for a two-spin system with PT symmetry

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Physical Review B 2023年第9期107卷 094435-094435页

作者： Stavros Komineas Department of Mathematics and Applied Mathematics University of Crete 70013 Heraklion Crete Greece and Institute of Applied and Computational Mathematics FORTH 70013 Heraklion Crete Greece

A system of interacting spins that are under the influence of spin-polarized currents can be described using a complex functional, or a non-Hermitian (NH) Hamiltonian. We study the dynamics of two exchange-coupled spins on the Bloch sphere. In the case of currents leading to PT symmetry, an exceptional point that survives also in the nonlinear system is identified. The nonlinear system is bistable for small currents and it exhibits stable oscillating motion or it can relax to an equilibrium point. The oscillating motion of the two spins is akin to synchronized spin-torque oscillators. For the full nonlinear system, we derive two conserved quantities that furnish a geometric description of the spin trajectories in phase space and indicate stability of the oscillating motion. Our analytical results provide tools for the description of the dynamics of NH systems that are defined on the Bloch sphere.

关键词： Magnetism Spin dynamics Spin torque Non-Hermitean systems Spin torque nano-oscillators PT-symmetry

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Photoresponse Characteristics of Quantum Ratchet Detectors Grown by MOCVD 5th

Photoresponse Characteristics of Quantum Ratchet Detectors G...

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5th China and International Young Scientist Terahertz Conference, YTHZ 2024

作者： Wang, Yi Bai, Peng Yang, Ning Chu, Weidong Xie, Yan Wang, Yingxin Chen, Meng Zhao, Ziran Institute of Applied Physics and Computational Mathematics Beijing100088 China National Key Laboratory of Computational Physics Beijing100088 China Department of Engineering Physics Tsinghua University Beijing100084 China

ISBN: (纸本)9789819737857

Terahertz detection has important application in space exploration, biomedicine, and national defense security. At present, although terahertz thermal detectors can operate at room temperature, their response speed is relatively slow, and the detection band coverage is narrow. Photon-type terahertz detectors have the potential for high-speed response, and the response band is flexible and adjustable, but their operating temperature is generally low (all working in the liquid helium temperature range). Developing a terahertz detection device with high speed, high sensitivity, high temperature operation, wide band response, simple fabrication process, and relatively low cost has become a focus and frontier issue in terahertz technology research. The quantum ratchet detector proposed by us is expected to achieve high-temperature, high-speed, and broadband terahertz detection. In this paper, we use MOCVD technology for material epitaxial growth and fabricate quantum ratchet detectors. We studied their photoresponse characteristics and ratchet characteristics, and discussed the possibility of high-temperature operation. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.

关键词： High temperature operations

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IoDseC++: authenticated key exchange protocol for cloud-enable internet of drone communication

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Journal of Ambient Intelligence and Humanized Computing 2023年第7期14卷 9529-9542页

作者： Amin, Ruhul Jayaswal, Sakshita Sureshkumar, Venkatasamy Rathore, Balram Jha, Ananya Abdussami, Mohammad Department of Computer Science and Engineering IIIT Naya raipur Sector 24 Chhattisgarh Naya Raipur493661 India Department of Applied Mathematics and Computational Sciences PSG College of Technology Tamilnadu Coimbatore641004 India

In recent times, sensor node or smart camera can be embedded in the drones for the collection of important data with the help of Internet Technology. Several security threats/vulnerabilities may hamper the system while collecting data. Hence, strong protection against security attacks is essential in drone based data collection system. In this work, we have considered a drone based cloud enable architecture for collecting and sharing information. The aim of this paper is to design a lightweight security protocol which will provide secure communication and mutual authentication among the entities. The proposed protocol establishes temporary session key for each session in order to make the complete system security attacks free. We have simulated the proposed protocol for measuring security strength using Scyther simulation whose results show all the claimed parameters are private during protocol run. It also ensures the correctness of mutual authentication. The informal analysis confirms strong protection on all security threats related to proposed architecture. The performance analysis has also made which shows that the protocol is lightweight and achieves better efficiency in comparison with related published works. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

关键词： Drones

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Schur Nets: effectively exploiting local structure for equivariance in higher order graph neural networks 24

Schur Nets: effectively exploiting local structure for equiv...

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Proceedings of the 38th International Conference on Neural Information Processing Systems

作者： Qingqi Zhang Ruize Xu Risi Kondor Computational and Applied Mathematics University of Chicago Department of Computer Science University of Chicago Computational and Applied Mathematics and Department of Computer Science and Department of Statistics University of Chicago

ISBN: (纸本)9798331314385

Recent works have shown that extending the message passing paradigm to subgraphs communicating with other subgraphs, especially via higher order messages, can boost the expressivity of graph neural networks. In such architectures, to faithfully account for local structure such as cycles, the local operations must be equivariant to the automorphism group of the local environment. However, enumerating the automorphism groups of all subgraphs of interest and finding appropriate equivariant operations for each one of them separately is generally not feasible. In this paper we propose a solution to this problem based on spectral graph theory that bypasses having to determine the automorphism group entirely and constructs a basis for equivariant operations directly from the graph Laplacian. We show that this approach can boost the performance of GNNs on some standard benchmarks.

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