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48th IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2023

作者： Alvarez-Vizoso, Javier Cuevas, Diego Beltran, Carlos Santamaria, Ignacio Tucek, Vit Peters, Gunnar Universidad de Cantabria Department of Communications Engineering Santander Spain Universidad de Cantabria Department of Mathematics Statistics and Computing Santander Spain Huawei Technologies Department of Wireless Algorithms Kista Sweden

ISBN: (纸本)9781728163277

We consider the design of multiuser constellations for a multiple access channel (MAC) with K users, with M antennas each, that transmit simultaneously to a receiver equipped with N antennas through a Rayleigh block-fading channel, when no channel state information (CSI) is available to either the transmitter or the receiver. In full-diversity scenarios where the coherence time is at least T ≥ (K + 1)M, the proposed constellation design criterion is based on the asymptotic expression of the multiuser pairwise error probability (PEP) derived by Brehler and Varanasi in [1]. Although this PEP expression was previously considered intractable for optimization, in this work we derive a closed-form formula for its unconstrained gradient and perform Riemannian optimization in the Grassmannian manifold to design multiuser constellations for the MIMO MAC with state-of-the-art performance in terms of symbol error rate (SER). © 2023 IEEE.

关键词： Antennas

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PHASL-NMF: Hierarchical ALS Based Power Non-negative Matrix Factorization 13

PHASL-NMF: Hierarchical ALS Based Power Non-negative Matrix ...

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13th International Conference on Information Science and Technology, ICIST 2023

作者： Luo, Yuan Han, Bing Zhang, Nian Zhou, Peng Xiong, Jiang Zhao, Yuzhi Chen, Li Xiu Dai, Xiangguang VALIN V-CLOUD Changsha410000 China Department of Electrical and Computer Engineering University of the District of Columbia WashingtonDC20008 United States College of Mathematics and Statistics Chongqing Three Gorges University Chongqing40044 China College of Mathematics and Statistics Shanghai Polytechnic University Shanghai200120 China College of Mathematics and Statistics Chongqing Information Technology College Chongqing40044 China Chongqing Three Gorges University Wanzhou Chongqing404100 China

ISBN: (纸本)9798350313925

The non-negative matrix factorization (NMF) has been found an effective clustering algorithm and it outperforms the classical k-means algorithm. Existing researches mainly focus on the problem of reducing the decomposition error between two decomposition matrices and the original matrix. In this paper, inspired by the power k-means algorithm and the hierarchical alternating least square NMF, we propose a novel NMF algorithm called power NMF (PHALS-NMF), which introduces the power mean to reduce decomposition error. Massive experiments on several datasets show the feasibility and effectiveness of PHALS-NMF. © 2023 IEEE.

关键词： Non-negative matrix factorization

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Heat transfer in a dual wavy wall squared enclosure saturated by non-Newtonian fluid: a numerical investigation of mixed convection and application to concentrated solar power collectors (CSPC)

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The European Physical Journal Special Topics 2025年 1-22页

作者： Elnaqeeb, Thanaa Dutta, Shantanu Shah, Nehad Ali Department of Mathematics and Statistics Faculty of Science Taif University Taif Saudi Arabia Department of Mathematics Faculty of Science Zagazig University Zagazig Egypt Mechanical Engineering Department Sanaka Educational Trust’s Group of Institutions (Affiliated to MAKAUT) Durgapur India Department of Mathematics and Statistics College of Science Imam Mohammad Ibn Saud Islamic University (IMSIU) Riyadh Saudi Arabia

In this research paper, the two-dimensional mixed convection heat transfer through a square, wavy walled enclosure adopted from a novel Concentrated Solar Power collector configuration with undulations in the left and right walls is investigated numerically. The left wall is subjected to a constant high temperature, while the right wall has a variable low temperature that depends on a sinusoidal function of dimensionless length. The horizontal top and bottom sides are kept adiabatic and non-slipped walls. The enclosure is saturated with non-Newtonian fluid that can be either shear thinning or shear thickening. The numerical computations are performed using COMSOL Multiphysics. The effects of important parameters on streamlines, isotherms, velocity contours, and Nusselt numbers are introduced through plots, tables, and graphs. Solar energy systems, particularly solar thermal collectors, often require efficient heat transfer mechanisms. The wavy wall design of our work can enhance heat transfer by inducing more heat transfer enhancement and increasing the surface area for heat exchange. The results reveal that by increasing the Richardson number, the fluid mixing improves and the velocity increases along the enclosure walls for the shear-thinning case. Moreover, this study highlights that the highest values of local Nusselt numbers are obtained at Richardson number, Ri = 10 for both left and right sides of the enclosure at power-law index n = 0.6. Moreover, the velocity increases as Re and Ri increase and the recirculation zone grows as Re increases. This novel geometry enhances the surface area and fluid mixing, making it more applicable to optimizing heat transfer in practical applications like CSP collectors.

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Compact ultrametric spaces generated by labeled star graphs

arXiv

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arXiv 2025年

作者： Dovgoshey, Oleksiy Cantor, Omer Rovenska, Olga Department of Function Theory Institute of Applied Mathematics and Mechanics of NASU Slovyansk Ukraine Department of Mathematics and Statistics University of Turku Turku Finland Department of Mathematics University of Haifa Haifa Israel Department of Mathematics and Modelling Donbas State Engineering Academy Kramatorsk Ukraine

Let US be the class of all ultrametric spaces generated by labeled star graphs. We prove that compact US-spaces are the completions of totally bounded ultrametric spaces generated by decreasingly labeled rays. We characterize the ultrametric spaces which are weakly similar to finite US-spaces and describe these spaces by certain four-point *** Codes Primary 54E35, Secondary 54E4 © 2025, CC BY.

关键词： Stars

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An Intelligence Computational Approach for the Fractional 4D Chaotic Financial Model

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Computers, Materials & Continua 2023年第2期74卷 2711-2724页

作者： Wajaree Weera Thongchai Botmart Charuwat Chantawat Zulqurnain Sabir Waleed Adel Muhammad Asif Zahoor Raja Muhammad Kristiawan Department of Mathematics Faculty of ScienceKhon Kaen UniversityKhon Kaen40002Thailand Department of Mathematics and Statistics Hazara UniversityMansehraPakistan Department of Mathematical Sciences United Arab Emirates UniversityP.O.Box 15551Al AinUAE Department of Mathematics and Engineering Physics Faculty of EngineeringMansoura UniversityEgypt UniversitéFrançaise D’Egypte Ismailia Desert RoadEl-ShoroukCairoEgypt Future Technology Research Center National Yunlin University of Science and Technology123 University RoadSection 3DouliouYunlin 64002Taiwan Science of Education Universitas BengkuluBengkulu CityIndonesia

The main purpose of the study is to present a numerical approach to investigate the numerical performances of the fractional 4-D chaotic financial system using a stochastic *** stochastic procedures mainly depend on the combination of the artificial neural network(ANNs)along with the Levenberg-Marquardt Backpropagation(LMB)i.e.,ANNs-LMB *** fractional-order term is defined in the Caputo sense and three cases are solved using the proposed technique for different values of the fractional orderα.The values of the fractional order derivatives to solve the fractional 4-D chaotic financial system are used between 0 and *** data proportion is applied as 73%,15%,and 12%for training,testing,and certification to solve the chaotic fractional *** acquired results are verified through the comparison of the reference solution,which indicates the proposed technique is efficient and *** 4-D chaotic model is numerically solved by using the ANNs-LMB technique to reduce the mean square error(MSE).To authenticate the exactness,and consistency of the technique,the obtained performances are plotted in the figures of correlation measures,error histograms,and *** these figures,it can be witnessed that the provided technique is effective for solving such models to give some new insight into the physical behavior of the model.

关键词： Financial model chaotic Levenberg-Marquardt Backpropagation fractional order artificial neural networks reference dataset

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Risk-Sensitive Impulse Control Problems with Random Execution Delays

SSRN

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SSRN 2023年

作者： Zaatra, Helmi Mathematics Program Department of Mathematics Statistics and Physics College of Arts and Sciences Qatar University Doha2713 Qatar

This paper studies a risk-sensitive control problem on a finite time horizon with random execution delays where the intervention cost functions depend on the time and impulse magnitude. A probabilistic approach is adopted in this setting based on the Snell envelope concept. We characterize recursively optimal solutions to risk-sensitive control problems by recasting the control problem as an iterative optimal stopping problem. We show the existence of an optimal strategy and establish the connection between the approximation scheme and the associated total expected reward. © 2023, The Authors. All rights reserved.

关键词： Cost functions

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CONVOLUTIONAL DYNAMICAL SAMPLING AND SOME NEW RESULTS

arXiv

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arXiv 2024年

作者： Huang, Longxiu Neuman, A. Martina Tang, Sui Xie, Yuying Department of Computational Mathematics Science and Engineering Department of Mathematics Michigan State University United States Department of Computational Mathematics Science and Engineering Michigan State University United States Department of Mathematics University of California Santa Barbara United States Department of Computational Mathematics Science and Engineering Department of Statistics and Probability Michigan State University United States

In this work, we explore the dynamical sampling problem on 2pZq driven by a convolution operator defined by a convolution kernel. This problem is inspired by the need to recover a bandlimited heat diffusion field from space-time samples and its discrete analogue. In this book chapter, we review recent results in the finite-dimensional case and extend these findings to the infinite-dimensional case, focusing on the study of the density of space-time sampling sets. Copyright © 2024, The Authors. All rights reserved.

关键词： Convolution

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A novel extended Portuguese of Interactive and Multi-Criteria Decision Making and Archimedean Bonferroni mean operators based on prospect theory to select green supplier with complex q-rung orthopair fuzzy information

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CAAI Transactions on Intelligence Technology 2023年第1期8卷 177-191页

作者： Zeeshan Ali Tahir Mahmood Jeonghwan Gwak Naeem Jan Department of Mathematics&Statistics International Islamic University IslamabadIslamabadPakistan Department of Software Korea National University of TransportationChungjuKorea Department of Biomedical Engineering Korea National University of TransportationChungjuKorea Department of AI Robotics Engineering Korea National University of TransportationChungjuKorea Department of IT&Energy Convergence(BK21 FOUR) Korea National University of TransportationChungjuKorea

The word sustainable or green supply chain refers to the concept of incorporating sustainable environmental procedures into the traditional supply *** supply chain management gives a chance to revise procedures,materials and operational *** the fuzziness of assessing data and the spiritual situations of experts in the decision-making procedure are two important *** main contribution of this analysis is to derive the theory of Archimedean Bonferroni mean operator for complex qrung orthopair fuzzy(CQROF)information,called the CQROF Archimedean Bonferroni mean and CQROF weighted Archimedean Bonferroni mean operators which are very valuable,dominant and classical type of aggregation operators used for examining the interrelationship among the finite number of attributes in modern data fusion *** and well-used properties of the initiated theories are also diagnosed with some special ***,the theory of extended TODIM tool using the prospect theory based on CQROF information was discovered,which play an essential and critical role in the environment of fuzzy set ***,a real life problem by computing a green supply chain management based on the initiated CQROF operators was evaluated and fully illustrating the feasibility and efficiency of the diagnosed work with the help of a comparison between existing and prevailing theories.

关键词： fuzzy set fuzzy sets

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Fault Detection Filtering for Unmanned Surface Vehicles with Markov Switching and Random Packet Losses

Fault Detection Filtering for Unmanned Surface Vehicles with...

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2024 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2024

作者： Hu, Meng-Jie Park, Ju H. Cheng, Jun School of Information and Control Engineering China University of Mining and Technology Xuzhou221000 China Yeungnam University Department of Electrical Engineering Gyeongsan38541 Korea Republic of School of Mathematics and Statistics Guangxi Normal University Guilin541006 China

ISBN: (纸本)9781665410205

This paper explores the dissipative fault detection filtering (FDF) issue for unmanned surface vehicles (USVs) within a network environment, considering switching channels and random occurrence of packet losses. Specifically, a multi-channel transmission mechanism is adopted to enhance the reliability of the system, and the switching channel is orchestrated by a Markov chain. The random intermittent data dropouts in each channel between the system and FDF modeled as a Bernoulli process are considered. Leveraging the Lyapunov theory and slack matrix technique, switching-channel-dependent FDF is crafted to detect faults for USVs and ensure that the augmented system keeps stochastic stability while attaining a strictly dissipative performance. Finally, an illustrative example is presented to validate the effectiveness of the proposed method for USVs. © 2024 IEEE.

关键词： Markov chains

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Self-supervised Instance Segmentation of Diabetic Foot Ulcers via Feature Correspondence Distillation 4th

Self-supervised Instance Segmentation of Diabetic Foot Ulce...

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4th Diabetic Foot Ulcers Grand Challenge, DFUC 2024 held in Conjunction 27th International Conference on Medical Image Computing and Computer Assisted Intervention, MICCAI 2024

作者： Zhang, Wenhui Banerjee, Abhirup Ray, Surajit School of Mathematics and Statistics University of Glasgow GlasgowG12 8QQ United Kingdom Institute of Biomedical Engineering Department of Engineering Science University of Oxford OxfordOX3 7DQ United Kingdom

ISBN: (纸本)9783031808708

Diabetic foot ulcers (DFUs) are a serious complication of diabetes that can often lead to infection, amputation, and even death if not properly managed. Accurate segmentation of DFUs in medical images is crucial for effective treatment planning. In the DFUC2024 challenge, which emphasizes self-supervised learning techniques for DFU segmentation, we investigate two approaches. The first approach utilizes a DINO (self-distillation with no labels) model combined with a trainable clustering probe to map unsupervised features into discrete segmentation labels. The second approach involves modifying the STEGO model, specifically designed to distill unsupervised features into meaningful segmentation labels, by integrating self-attention features from the ViT backbone to enhance spatial information. To further improve segmentation accuracy, we propose a coarse-to-fine instance prediction framework, where initial coarse predictions are refined through focused reprocessing of detected ulcer regions. After optimizing the hyperparameters for the DFU dataset, the modified STEGO model achieves a Dice coefficient of 0.4362 and Jaccard coefficient of 0.3358. Although the proposed approach yields competitive results, the challenge of self-supervision in DFU segmentation remains significant. The implementation of this work is available at https://***/Wenhui-Zhang-5/DFUC2024-challenge. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

关键词： Self-supervised learning

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