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arXiv 2022年

作者： Gorantla, Pranay Marwaha, Kunal Velusamy, Santhoshini Physics Department Princeton University PrincetonNJ United States Department of Computer Science University of Chicago ChicagoIL United States School of Engineering and Applied Sciences Harvard University CambridgeMA United States

We study the problem of fairly allocating a multiset M of m indivisible items among n agents with additive valuations. Specifically, we introduce a parameter t for the number of distinct types of items and study fair allocations of multisets that contain only items of these t types, under two standard notions of fairness: 1. Envy-freeness (EF): For arbitrary n, t, we show that a complete EF allocation exists when at least one agent has a unique valuation and the number of items of each type exceeds a particular finite threshold. We give explicit upper and lower bounds on this threshold in some special cases. 2. Envy-freeness up to any good (EFX): For arbitrary n, m, and for t ≤ 2, we show that a complete EFX allocation always exists. We give two different proofs of this result. One proof is constructive and runs in polynomial time;the other is geometrically inspired. © 2022, CC BY.

关键词： Polynomial approximation

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GNN-Based Beamforming for Sum-Rate Maximization in MU-MISO Networks

arXiv

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arXiv 2023年

作者： Li, Yuhang Lu, Yang Ai, Bo Dobre, Octavia A. Ding, Zhiguo Niyato, Dusit School of Computer and Information Technology Collaborative Innovation Center of Railway Traffic Safety Beijing Jiaotong University Beijing100044 China State Key Laboratory of Rail Traffic Control and Safety the School of Electronics and Information Engineering Beijing Jiaotong University Beijing100044 China Faculty of Engineering and Applied Science Memorial University St. John’sNLA1C 5S7 Canada Department of Electrical Engineering and Computer Science Khalifa University Abu Dhabi United Arab Emirates Department of Electrical and Electronic Engineering University of Manchester Manchester United Kingdom School of Computer Science and Engineering Nanyang Technological University Singapore639798 Singapore

The advantages of graph neural networks (GNNs) in leveraging the graph topology of wireless networks have drawn increasing attentions. This paper studies the GNN-based learning approach for the sum-rate maximization in multiple-user multiple-input single-output (MU-MISO) networks subject to the users’ individual data rate requirements and the power budget of the base station. By modeling the MU-MISO network as a graph, a GNN-based architecture named CRGAT is proposed to directly map the channel state information to the beamforming vectors. The attention-enabled aggregation and the residual-assisted combination are adopted to enhance the learning capability and avoid the oversmoothing issue. Furthermore, a novel activation function is proposed for the constraint due to the limited power budget at the base station. The CRGAT is trained in an unsupervised learning manner with two proposed loss functions. An evaluation method is proposed for the learning-based approach, based on which the effectiveness of the proposed CRGAT is validated in comparison with several convex optimization and learning based approaches. Numerical results are provided to reveal the advantages of the CRGAT including the millisecond-level response with limited optimality performance loss, the scalability to different number of users and power budgets, and the adaptability to different system settings. Copyright © 2023, The Authors. All rights reserved.

关键词： Beamforming

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Blockchain Solution For SMEs Cybersecurity Threats In E-Commerce

Blockchain Solution For SMEs Cybersecurity Threats In E-Comm...

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computer science and Emerging Technologies (CSET), International Conference on

作者： Firas H. Zawaideh Waheeb Abu-Ulbeh Salameh A. Mjlae Yousef A. Baker El-Ebiary Yazeed Al Moaiad Sunanda Das Department of Cyber Security Faculty of Science and Informaiton Technology Irbid National University Irbid Jordan Cybersecurity Department Faculty of Administrative sciences and Informatics Al-Istiqlal University Palestine CS Department Prince Abdullah bin Ghazi Faculty of Information Technology Al-Balqa Applied University (BAU) Jordan Faculty of Informatics and Computing UniSZA Malaysia Faculty of Computer and Information Technology MEDIU Malaysia School of Computer Science and Engineering Jain University Bangalore India

The rapid growth of electronic commerce (e-commerce) has revolutionized the way Small and Medium-sized Enterprises (SMEs) conduct business, enabling them to reach global markets and unlock new growth opportunities. However, this digital transformation has also exposed SMEs to an escalating array of cybersecurity threats that could compromise their data, financial integrity, and reputation. Blockchain technology, known for its decentralized and immutable nature, has emerged as a potential solution to enhance the security and resilience of e-commerce operations for SMEs. This research paper aims to investigate the current state of cybersecurity preparedness among SMEs engaged in e-commerce and identify the prevalent threats they face in the digital landscape. To achieve this goal, the study incorporates systematic literature review (SLR) method to examine the best technological solution to address the cybersecurity issues faced by e-commerce organizations in this paper of SMEs operating in e-commerce to gather data on their security practices, incident history, and perceptions of cybersecurity risks. In the context of this research, blockchain technology will be explored as a potential mechanism to enhance the security of e-commerce operations for SMEs. The inherent features of blockchain, such as decentralization, transparency, and immutability, could help protect sensitive data and thwart cyberattacks. By exploring the integration of blockchain into e-commerce systems, the research aims to shed light on the potential benefits and challenges associated with its adoption by SMEs. The research findings will not only shed light on the prevailing cybersecurity practices within SMEs and highlight their vulnerabilities but will also explore how blockchain technology can be leveraged to address these challenges. By understanding these patterns and exploring the feasibility of blockchain integration, the research aims to provide comprehensive recommendations for enhancing cy

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Ambiguous Fuzzy Averaging Operator Based Decision-Making Approach with Application to Classification of Renewable Energy Sources

Ambiguous Fuzzy Averaging Operator Based Decision-Making App...

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International Conference on Power Energy, Environment and Intelligent Control (PEEIC)

作者： Bhagawati Prasad Joshi Arvind Bhatt Mehul Manu Anuj Kumar Sangeeta Pant Pawan Joshi Department of Mathematics Graphic Era Hill University Bhimtal India Department of Mathematics Uttarakhand Open University Haldwani Uttrakhand India Department of Allied Sciences Graphic Era Hill University Bhimtal India School of Computer Science Engg. & Applications D. Y. Patil International University (DYPIU) Akrudi Pune Maharashtra Department of Applied Sciences Symbiosis International (Deemed University) (SIU) Lavale Pune Maharashtra Department of Applied Sciences Shivalik College of Engineering Dehradun India

A renewable-energy-source-selection (RES-selection) is a complex multi-criteria-decision-making (MCDM) challenge to select the optimal RES on the basis of some criteria. The complexity exists due to the relationship of miscellaneous contradictory standards, unknown and vague information. To deal with inherent uncertainties and vague information, the theory of Ambiguous intuitionistic fuzzy set (AIFS) has been introduced recently. This study is an effort to provide a RES-classification method under the AIFS environment. This can be achieved by proposing new aggregation operators, namely the ambiguous-intuitionistic weighted-averaging (AI- W A) and the ambiguous-intuitionistic ordered-weighted-averaging (AI-OW A), to fuse AIFNs input information. Based on the proposed the AI-WA and the AI-OW A operators, we develop an approach for RES- classification problem and applied it to classify four considered RESs.

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Preface

Communications in Computer and Information Science

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Communications in computer and Information science 2024年 2034 CCIS卷 v-vi页

作者： Wang, Guojun Wang, Haozhe Min, Geyong Georgalas, Nektarios Meng, Weizhi School of Computer Science and Cyber Engineering Guangzhou University Guangzhou China Department of Computer Science University of Exeter Exeter United Kingdom Applied Research Department British Telecom London United Kingdom Department of Applied Mathematics and Computer Science University of Denmark Copenhagen Denmark

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Analysis of Character Dimensions in Vehicle Number Plates 6

Analysis of Character Dimensions in Vehicle Number Plates

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6th IEEE International Conference on Electronics, Computing and Communication Technologies, CONECCT 2020

作者： Reddy, Viswanath K. Raychaudhuri, Soumya Jyoti M S Ramaiah University of Applied Sciences Department of Electronics and Communication Engineering Bangalore560058 India M S Ramaiah University of Applied Sciences Department of Computer Science and Engineering Bangalore560058 India

ISBN: (纸本)9781728168289

The dimensions of characters in a vehicle number plate are clearly specified by the Motor Vehicles Act of India. Any deviation from the specifications attracts penalty. Presently the inspecting authorities are not taking this aspect seriously due to the difficulties in measuring the dimensions manually. No work related to estimating the actual dimensions of the characters in the number plates have been observed. This work addresses this problem of automatically detecting the real dimension of the alphanumeric characters in the number plate to check the conformity with the relevant laws. Number plate images have been acquired manually and the characters are segmented through image processing. The segmented objects are classified between the characters based on their pixel distribution using machine learning techniques. The observed pixel distribution has been used to train a machine learning based classifier for character identification. The algorithm was developed and simulated using MATLAB. The trained classifier when cross-validated against a test dataset, an overall improvement of accuracy in character recognition was observed over the MATLAB inbuilt Optical Character Recognition library performance, both using the same dataset. The dimensions of the segmented objects are estimated using pixel march technique in MATLAB and the results were validated against the manually measured character dimensions and a maximum error of 13% was observed with respect to the measured dimensions. © 2020 IEEE.

关键词： Optical character recognition

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mathematical modelling of flow and adsorption in a gas chromatograph

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Partial Differential Equations in applied mathematics 2025年 13卷

作者： Cabrera-Codony, A. Valverde, A. Born, K. Noreldin, O.A.I. Myers, T.G. LEQUIA Institute of the Environment Universitat de Girona Spain Department of Chemical Engineering Universitat Politècnica de Catalunya Spain School of Computer Science and Applied Mathematics University of the Witwatersrand Johannesburg South Africa Department of Mathematical Sciences University of Zululand South Africa Centre de Recerca Matemàtica Barcelona Spain

In this paper, a mathematical model is developed to describe the evolution of the concentration of compounds through a gas chromatography column. The model couples mass balances and kinetic equations for all components. Both single and multiple-component cases are considered with constant or variable velocity. Dimensional analysis is employed to identify negligible terms and so reduce the problem to the solution of a single integral equation. From this the concentration profile for all components may be determined (since they are scaled versions of each other). The full governing equations are also solved numerically to verify the analytical approach. Finally the analytical results are compared with experimental data, showing excellent agreement. This novel method is highly efficient and is significantly faster and simpler than previous numerical approaches. © 2025

关键词： Advection–diffusion equation Column adsorption Compounds separation Gas chromatography mathematical model

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Provable benefits of actor-critic methods for offline reinforcement learning

arXiv

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arXiv 2021年

作者： Zanette, Andrea Wainwright, Martin J. Brunskill, Emma Inst. for Comp. and Math. Engineering Department of Statistics EECS Department of Computer Science Stanford University

Actor-critic methods are widely used in offline reinforcement learning practice, but are not so well-understood theoretically. We propose a new offline actor-critic algorithm that naturally incorporates the pessimism principle, leading to several key advantages compared to the state of the art. The algorithm can operate when the Bellman evaluation operator is closed with respect to the action value function of the actor's policies;this is a more general setting than the low-rank MDP model. Despite the added generality, the procedure is computationally tractable as it involves the solution of a sequence of second-order programs. We prove an upper bound on the suboptimality gap of the policy returned by the procedure that depends on the data coverage of any arbitrary, possibly data dependent comparator policy. The achievable guarantee is complemented with a minimax lower bound that is matching up to logarithmic factors. Copyright © 2021, The Authors. All rights reserved.

关键词： Reinforcement learning

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CONJUGATIONS OF UNITARY OPERATORS, I

arXiv

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arXiv 2024年

作者： Mashreghi, Javad Ptak, Marek Ross, William T. Département de Mathématiques et de Statistique Université Laval QuébecQCG1K 0A6 Canada Department of Applied Mathematics University of Agriculture Ul. Balicka 253C Kraków30-198 Poland Department of Mathematics and Computer Science University of Richmond RichmondVA23173 United States

If U is a unitary operator on a separable complex Hilbert space H, an application of the spectral theorem says there is a conjugation C on H (an antilinear, involutive, isometry on H) for which CUC = U∗. In this paper, we fix a unitary operator U and describe all of the conjugations C which satisfy this property. As a consequence of our results, we show that a subspace is hyperinvariant for U if and only if it is invariant for any conjugation C for which CUC = U∗MSC Codes 47A465 © 2024, CC BY.

关键词： C (programming language)

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Interpretable inverse-designed cavity for nonlinear photon pair generation on-chip 28

Interpretable inverse-designed cavity for nonlinear photon p...

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Integrated Optics: Devices, Materials, and Technologies XXVIII 2024

作者： Jia, Zhetao Qarony, Wayesh Park, Jagang Hooten, Sean Wen, Difan Zhiyenbayev, Yertay Seclì, Matteo Redjem, Walid Dhuey, Scott Schwartzberg, Adam Kanté, Boubacar Department of Electrical Engineering and Computer Sciences University of California Berkeley BerkeleyCA94720 United States Hewlett Packard Labs Hewlett Packard Enterprise 820 N McCarthy Blvd MilpitasCA95035 United States Applied Science and Technology Graduate Group University of California Berkeley BerkeleyCA94720 United States Molecular Foundry Lawrence Berkeley National Laboratory BerkeleyCA94720 United States Materials Sciences Division Lawrence Berkeley National Laboratory 1 Cyclotron Road BerkeleyCA94720 United States

ISBN: (纸本)9781510670389

Inverse design has proved to be a powerful tool in photonics for compact, high-performance devices. To date, applications have been limited to linear systems but have rarely been investigated or demonstrated in nonlinear regimes. In addition, the "black box"nature of inverse design techniques hinders the understanding of the optimized structure. Here, we propose an inverse design approach to amplify the efficiency of on-chip photon pair generation. We implement this strategy based on the open-source package EMopt. Our method employs a multi-frequency co-optimization strategy and calculates gradients with respect to the design parameters via the adjoint method. The resulting efficiency enhancement stems not only from the field intensification due to the confinement of light from high-quality factor cavity resonances but also from the improvement of phase-matching conditions, along with coupling between the cavity and waveguide mode considered in the design. We demonstrate the capability of the proposed method by fabricating and characterizing an optimized device that enables the efficient generation of photon pairs. Our design follows the fabrication constraints and can be used for scalable quantum light sources in large-scale computing and communication applications. Interestingly, the shape of the proposed design can also be explained by the effective potential method. The proposed optimization technique can be generalized to other nonlinear processes for compact frequency-mixing devices on-chip. © 2024 SPIE.

关键词： Design

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