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arXiv 2024年

作者： Lyu, Xiaoxu Wen, Guanghui Shi, Ling Duan, Peihu Duan, Zhisheng The Department of Electronic and Computer Engineering Hong Kong University of Science and Technology Hong Kong The Laboratory of Security Operation and Control for Intelligent Autonomous Systems Department of Systems Science School of Mathematics Southeast University Nanjing211189 China School of Electrical Engineering and Computer Science KTH Royal Institute of Technology Stockholm Sweden State Key Laboratory for Turbulence and Complex Systems Department of Mechanics and Engineering Science College of Engineering Peking University Beijing100871 China

This paper systematically investigates the performance of consensus-based distributed filtering under mismatched noise covariances. First, we introduce three performance evaluation indices for such filtering problems, namely the standard performance evaluation index, the nominal performance evaluation index, and the estimation error covariance. We derive difference expressions among these indices and establish one-step relations among them under various mismatched noise covariance scenarios. We particularly reveal the effect of the consensus fusion on these relations. Furthermore, the recursive relations are introduced by extending the results of the one-step relations. Subsequently, we demonstrate the convergence of these indices under the collective observability condition, and show this convergence condition of the nominal performance evaluation index can guarantee the convergence of the estimation error covariance. Additionally, we prove that the estimation error covariance of the consensus-based distributed filter under mismatched noise covariances can be bounded by the Frobenius norms of the noise covariance deviations and the trace of the nominal performance evaluation index. Finally, the effectiveness of the theoretical results is verified by numerical simulations. Copyright © 2024, The Authors. All rights reserved.

关键词： Wiener filtering

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Twitter Sentiment Analysis using Ensemble Based Deep Learning Techniques for Analyzing COVID-19 Tweets

Twitter Sentiment Analysis using Ensemble Based Deep Learnin...

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Evolutionary Algorithms and Soft Computing Techniques (EASCT), International Conference on

作者： Bura Vijay Kumar K M Monica Prabhakar S Senthil Perumal Ramachandra A C School of Computer Science and Artificial Intelligence SR University Warangal India School of Computer Science and Engineering VIT Chennai India Department of Mathematics S.A Engineering College Chennai India Department of ECE SRMIST-Ramapuram Chennai India Department of Electronics and Communication Engineering Nitte Meenakshi Institute of Technology Bengaluru India

The COVID-19 is a transportable disease which is rapidly spread and numerous peoples are endures and died from this disease. This paper proposed an ensemble based deep learning techniques for examining COVID-19 tweets. The COVID19 Tweets dataset is utilized in this research which consist of 3100 tweets. The preprocessing is accomplished by including the activities like stemming, tokenization and stop words removal. The preprocessed data features are extracted through Team Frequency-Inverse Document Frequency (TF-IDF). Then, it classified through ensemble classifiers such as Recurrent Neural Network (RNN), Long Short-Term Memory (LSTM), Gated Recurrent Unit (GRU) and Bidirectional RNN (BRNN). The model performance was evaluated through accuracy, precision, recall, sensitivity and f1-score. The obtained result shows that the ensemble classifier attains high accuracy of 0.985, precision of 0.982, recall of 0.971, specificity of 0.974 and f1-score of 0.978 which is comparatively higher than existing techniques like Extra Tree Classifier (ETC) and Heterogeneous Support Vector Machine (H-SVM).

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Expression for the decoherence rate due to air-molecule scattering in spatial qubits

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Physical Review A 2025年第4期111卷 042211-042211页

作者： Martine Schut Patrick Andriolo Marko Toroš Sougato Bose Anupam Mazumdar Van Swinderen Institute for Particle Physics and Gravity University of Groningen 9747 AG Groningen The Netherlands Bernoulli Institute for Mathematics Computer Science and Artificial Intelligence University of Groningen 9747 AG Groningen The Netherlands Physics Institute University of São Paulo Rua do Matão 1371 São Paulo Brazil Faculty of Mathematics and Physics University of Ljubljana Jadranska 19 SI-1000 Ljubljana Slovenia Department of Physics and Astronomy University College London London WC1E 6BT United Kingdom

We provide an expression for the decoherence rate in spatial superpositions due to scattering or collision with air molecules which is independent of the wavelength of the air molecules. This result reproduces the short- and long-wavelength limits known in the literature. We compare the decoherence rate with several existing interpolations in the literature and evaluate the decoherence rate and experimental parameters when creating macroscopic quantum spatial superpositions (i.e., in micron-size spheres). The interpolation regime is relevant in, e.g., matter-wave interferometry, where one might switch between the wavelength limits during the experimental protocol. Finally, we consider the decoherence rate's time dependence while creating and closing the spatial superposition in an interferometer setup.

关键词： Molecules

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Integrability of polynomial vector fields and a dual problem

arXiv

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arXiv 2024年

作者： Petek, Tatjana Romanovski, Valery G. Faculty of Electrical Engineering and Computer Science University of Maribor Koroska cesta 46 MariborSI-2000 Slovenia Institute of Mathematics Physics and Mechanics Jadranska 19 LjubljanaSI-1000 Slovenia Faculty of Natural Science and Mathematics University of Maribor Koroska cesta 160 MariborSI-2000 Slovenia Center for Applied Mathematics and Theoretical Physics Mladinska 3 MariborSI-2000 Slovenia

We investigate the integrability of polynomial vector fields through the lens of duality in parameter spaces. We examine formal power series solutions annihilated by differential operators and explore the properties of the integrability variety in relation to the invariants of the associated Lie group. Our study extends to differential operators on affine algebraic varieties, highlighting the intrinsic connection between these operators and local analytic first integrals. To illustrate the duality the case of quadratic vector fields is considered in detail. © 2024, CC BY.

关键词： Choquet integral

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Stable cuts, NAC-colourings and flexible realisations of graphs

arXiv

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arXiv 2024年

作者： Clinch, Katie Garamvölgyi, Dániel Haslegrave, John Huynh, Tony Legerský, Jan Nixon, Anthony School of Computer Science and Engineering UNSW Sydney Australia MTA-ELTE Momentum Matroid Optimization Research Group ELTE HUN-REN Alfréd Rényi Institute of Mathematics Hungary School of Mathematical Sciences Lancaster University United Kingdom Department of Computer Science Sapienza Università di Roma Italy Faculty of Information Technology Czech Technical University Prague Czech Republic

A (2-dimensional) realisation of a graph G is a pair (G, p), where p maps the vertices of G to 2. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise. Similarly, a graph is flexible if its generic realisations are flexible, and rigid otherwise. We show that a minimally rigid graph has a flexible realisation with positive edge lengths if and only if it is not a 2-tree. This confirms a conjecture of Grasegger, Legerský and Schicho. Our proof is based on a characterisation of graphs with n vertices and 2n − 3 edges and without stable cuts due to Le and Pfender. We also strengthen a result of Chen and Yu, who proved that every graph with at most 2n − 4 edges has a stable cut, by showing that every flexible graph has a stable cut. Additionally we investigate the number of NAC-colourings in various graphs. A NAC-colouring is a type of edge colouring introduced by Grasegger, Legerský and Schicho, who showed that the existence of such a colouring characterises the existence of a flexible realisation with positive edge lengths. We provide an upper bound on the number of NAC-colourings for arbitrary graphs, and construct families of graphs, including rigid and minimally rigid ones, for which this number is exponential in the number of *** Codes 52C25, 05C15 Copyright © 2024, The Authors. All rights reserved.

关键词： Graphic methods

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Machine Learning-Based Detection of Stress Levels in Students with Social Media Addiction

Machine Learning-Based Detection of Stress Levels in Student...

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Integrated Circuits and Communication Systems (ICICACS), IEEE International Conference on

作者： Anuradha Parasar Sujatha N Sweta Priya Pramod S A. Sasi Kumar Kogila Palanimuthu School of Liberal Education Galgotias University Dankaur India Department of Mathematics B. M. S. College of Engineering Bangalore India Amity School of Communication Amity University Patna India Department of Mathematics Nitte Meenakshi Institute of Technology Bangalore India Department of Computer Applications (BCA & MCA) School of Science and Computer Studies (SSCS) CMR University Bangalore India Department of Pediatric and Child Health Nursing Institute of Health Sciences Dambi Dollo University Kellam Ethiopia

ISBN: (数字)9798331508456

ISBN: (纸本)9798331508463

The epidemic has shown that social networks (SNs) are prevalent and necessary for human connections. However, SNs are easy to access, which may make them addictive, especially for kids. The study literature suggests several psychological and physiological risk factors for social media addiction. The suggested method includes preprocessing, feature selection, and model training. The content was preprocessed to remove all URLs to guarantee that web links would not interfere with the analysis. The mRMR method and Chi-Square test were the most practical and effective feature selection methods. Training the model using the Attention-Based GCN. The recommended model outperformed the popular Random Forest (RF) and established GCN models. Attention-Based GCN boosted accuracy to 92.84%. It systematically identifies social media addiction risk factors using cutting-edge feature selection, model training, and preprocessing. Results suggest Attention-Based GCN can overcome social media addiction identification challenges.

关键词： Training Radio frequency Accuracy Uncertainty Social networking (online) Addiction Human factors Feature extraction Integrated circuit modeling Stress

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Research on Auxiliary Diagnosis Technology of Chronic Disease Based on Case-Based Reasoning

Research on Auxiliary Diagnosis Technology of Chronic Diseas...

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2021 IEEE International Conference on Advances in Electrical Engineering and computer Applications, AEECA 2021

作者： Zhang, Lin Qi, Ping Zhang, Hao Institute of Robotics Engineering Anhui Sanlian University Anhui Hefei China Institute of Service Computing Tongling University Anhui Tongling China College of Mathematics and Computer Science Tongling University Anhui Tongling China

ISBN: (纸本)9781665435611

In recent years, with the continuous acceleration of social progress, the number of patients with chronic diseases worldwide has increased year by year, and the pressure on medical institutions and volunteer workers has also increased. Especially in the current situation of rampant CoviD-19, if the number of admissions and treatments for chronic patients can be reduced, it will help reduce the pressure on hospitals and medical staff during the special period at this stage, and will also reduce the spread and infection rate of CoviD-19. The research team established big health data through questionnaire surveys, and established a case database based on these data, and proposed an assisted diagnosis technology for chronic diseases based on case-based reasoning. With the continuous expansion of the application field of Case-Based Reasoning (CBR) technology, the problem of programmers' difficulty in obtaining and expressing professional knowledge has become increasingly prominent. Therefore, this article first gives the standardized expression of health data, and combines the method based on case-based reasoning with the scientific measurement of keyword weight (Term Frequency-Inverse Document Frequency, TF-IDF) to give the weight in the case retrieval process It also designs the calculation of the dispersion degree between classes for the distribution of characteristic words, which provides an effective method for the establishment of an auxiliary diagnosis model for chronic diseases. © 2021 IEEE.

关键词： Case based reasoning

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Knowledge Graph Fusion for Language Model Fine-tuning

arXiv

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arXiv 2022年

作者： Bhana, Nimesh van Zyl, Terence L. Computer Science and Applied Mathematics University of Witwatersrand Johannesburg South Africa University of Johannesburg Institute for Intelligent Systems Johannesburg South Africa

Language Models such as BERT have grown in popularity due to their ability to be pre-trained and perform robustly on a wide range of Natural Language Processing tasks. Often seen as an evolution over traditional word embedding techniques, they can produce semantic representations of text, useful for tasks such as semantic similarity. However, state-of-the-art models often have high computational requirements and lack global context or domain knowledge which is required for complete language understanding. To address these limitations, we investigate the benefits of knowledge incorporation into the fine-tuning stages of BERT. An existing K-BERT model, which enriches sentences with triplets from a Knowledge Graph, is adapted for the English language and extended to inject contextually relevant information into sentences. As a side-effect, changes made to K-BERT for accommodating the English language also extend to other word-based languages. Experiments conducted indicate that injected knowledge introduces noise. We see statistically significant improvements for knowledge-driven tasks when this noise is minimised. We show evidence that, given the appropriate task, modest injection with relevant, high-quality knowledge is most performant. Copyright © 2022, The Authors. All rights reserved.

关键词： Knowledge graph

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Equations of State That Describe the Phase Transition of Order–Disorder Type Substitution in Binary Alloys

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Bulletin of the Russian Academy of sciences: Physics 2021年第9期85卷 1003-1007页

作者： Gufan, M.A. Gufan, Yu. M. Naskalova, O.V. Kuznetsova, E.M. Institute of Physics Southern Federal University Rostov-on-Don344090 Russia Academy of Management and Production Moscow123007 Russia Rostov-on-Don College of Communications and Informatics Rostov-on-Don344082 Russia Institute of Mathematics Mechanics and Computer Science Southern Federal University Rostov-on-Don344090 Russia

Abstract: Equations of state are considered that correspond to a model of static concentration waves which describe order–disorder phase transitions of the substitution type in binary alloys. A phase diagram associated with a three-dimensional order parameter that describes ordering in Cu–Au alloys is presented as an example. It is established that the equations of state of the theory of concentration waves allow additional solutions not considered in existing theories of ordering based on the hypothesized predominant role of pair interactions. These solutions correspond to states that are partially ordered and stable over a wide area of the phase diagram. © 2021, Allerton Press, Inc.

关键词： Equations of state

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DT Based Digitization & Preservation of Knowledge

DT Based Digitization & Preservation of Knowledge

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Sustainable Computing and Integrated Communication in Changing Landscape of AI (ICSCAI), International Conference on

作者： L. Pattathu Rani V. Karthick L Manjula Navneet Joshi P. Ashok K Krishnakumar Saveetha School of Engineering SIMATS University Chennai India Department of Computer Science and Engineering Rajalakshmi Engineering College Chennai India Department of Mathematics Saveetha School of Engineering Saveetha Institute of Medical and Technical Sciences (SIMATS) Chennai Department of Mathematics Graphic Era Hill University Bhimtal Campus Grapic Era Deemed to be University Dehradun Symbiosis Institute of Digital and Telecom Management (SIDTM) Symbiosis International (Deemed University) (SIU) Lavale Pune Maharashtra India Department of Computer Science and Engineering Saveetha School of Engineering Saveetha Institute of Medical and Technical Sciences (SIMATS) Chennai

ISBN: (数字)9798350355338

ISBN: (纸本)9798350355345

A digital twin (DT) is a computer-generated model that accurately represents a tangible object or entity. The system utilizes models along with information collected by detectors in the real device to accurately represent its current condition. This allows for successful and effective control and monitoring of the unit. The DT enables the gathering of information, in addition to its examination and representation, via user interactions, such as graphical user interfaces (GUIs) like displays or augmented and virtual reality. These user interfaces offer straightforward ways to access the information and simplify its modification. When integrated into online test environments, the DT transforms into a “experientable DT” (EDT), enabling the execution of tests and facilitating the comparison and assessment of various results. The user-friendly depiction of the resources enables specialists to engage with their DT without requiring extensive expertise in the field of computer science. The DT monitors, documents, and compares trials conducted by the person in charge. In this manner, the user's expertise is transformed into an electronic form and consequently safeguarded as a conceptual depiction of facts, calculations, as well as patterns within the DT. The incorporation of the DT into the operations conducted by other managers, beyond just the first reported specialist, improves the natural decision-making abilities of the workers by leveraging empirical information. Hence, the DT functions as a network of support that may provide guidance for potential managers, therefore the results of the tests can be replicated. The explicit depictions of exchanges and results also enhance teamwork among operators of machines & other parties involved by offering a shared viewpoint to various users.

关键词： Solid modeling Computational modeling Decision making Virtual reality Transforms Detectors Teamwork Digital twins Monitoring Graphical user interfaces

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