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arXiv 2025年

作者： Muppirala, Viswa Virinchi Qian, Hong Department of Electrical and Computer Engineering University of Washington SeattleWA98195 United States Department of Applied Mathematics University of Washington SeattleWA98195 United States

Combinatorics, probabilities, and measurements are fundamental to understanding information. This work explores how the application of large deviation theory (LDT) in counting phenomena leads to the emergence of various entropy functions, including Shannon’s entropy, mutual information, and relative and conditional entropies. In terms of these functions, we reveal an inherent geometrical structure through operations, including contractions, lift, change of basis, and projections. Legendre-Fenchel (LF) transform that is central to both LDT and Gibbs’ method of thermodynamics offers a novel energetic description of data. The manifold of empirical mean values of statistical data ad infinitum has a parametrization using LF conjugates w.r.t. an entropy function;this gives rise to the additivity known in statistical thermodynamic energetics. This work extends current information geometry to information projection as defined through conditional expectations in Kolmogorov’s probability theory. Copyright © 2025, The Authors. All rights reserved.

关键词： Entropy

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U-shape-based architecture with Adjusted Bilateral Guided Aggregation Layer for nuclei image segmentation 9

U-shape-based architecture with Adjusted Bilateral Guided Ag...

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9th IEEE International Conference on Communications and Electronics, ICCE 2022

作者： Nguyen, Viet-Dung Nham, Do-Hai-Ninh Pham, Van-Truong Tran, Thi-Thao Hanoi University of Science and Technology School of Applied Mathematics and Informatics Hanoi Viet Nam Hanoi University of Science and Technology School of Electrical and Electronic Engineering Department of Automation Engineering Hanoi Viet Nam

ISBN: (数字)9781665497459

ISBN: (纸本)9781665497442

Medical image segmentation with AI models has been showing its incredible improvements recently and one of the most significant building blocks is U-shape architecture. With that being said, a big issue of encoder-decoder based models is the lack of semantic information during the decoding process despite the backing up of the skip connection layer. In this paper, we address this challenge with our proposed model. Inheriting the idea of spatial path and semantic path from BiSeNetV2, we replaced the skip connection between encoder and decoder blocks with Adjusted Bilateral Guided Aggregation (ABGA) layer. In addition, we also leveraged the efficiency and elegance from EffecientNet as the model's encoder. Besides that, a new loss function based on Kulczycki 2 coefficient is introduced. © 2022 IEEE.

关键词： Semantics

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Free vibration analysis of functionally graded porous curved nanobeams on elastic foundation in hygro-thermo-magnetic environment

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Frontiers of Structural and Civil engineering 2023年第4期17卷 584-605页

作者： Quoc-Hoa PHAM Parviz MALEKZADEH Van Ke TRAN Trung NGUYEN-THOI Faculty of Engineering and Technology Nguyen Tat Thanh UniversityHo Chi Minh City 700000Vietnam Department of Mechanical Engineering Persian Gulf UniversityBushehr ***Iran Faculty of Mechanical Engineering Le Quy Don Technical UniversityHanoi 100000Vietnam Laboratory for Applied and Industrial Mathematics Institute for Computational Science and Artificial IntelligenceVan Lang UniversityHo Chi Minh City 700000Vietnam Faculty of Mechanical-Electrical and Computer Engineering School of TechnologyVan Lang UniversityHo Chi Minh City 700000Vietnam Bualuang ASEAN Chair Professor Thammasat School of EngineeringThammasat UniversityPathumtani 12120Thailand

Herein,a two-node beam element enriched based on the Lagrange and Hermite interpolation function is proposed to solve the governing equation of a functionally graded porous(FGP)curved nanobeam on an elastic foundation in a hygro–thermo–magnetic *** material properties of curved nanobeams change continuously along the thickness via a power-law distribution,and the porosity distributions are described by an uneven porosity *** effects of magnetic fields,temperature,and moisture on the curved nanobeam are assumed to result in axial loads and not affect the mechanical properties of the *** equilibrium equations of the curved nanobeam are derived using Hamilton’s principle based on various beam theories,including the classical theory,first-order shear deformation theory,and higher-order shear deformation theory,and the nonlocal elasticity *** accuracy of the proposed method is verified by comparing the results obtained with those of previous reliable ***,the effects of different parameters on the free vibration behavior of the FGP curved nanobeams are investigated comprehensively.

关键词： functionally graded porous material curved nanobeam hygro-thermo-magnetic enriched finite element method

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Review of “Numerical Methods in Environmental Data Analysis” by Moses Eterigho Emetere

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Journal of Agricultural, Biological and Environmental Statistics 2023年第3期29卷 645-647页

作者： Mudarris, Mudarris Permatasari, Desy Master’s Program in Electrical Engineering Department of Electrical Engineering and Information Technology Faculty of Engineering Universitas Gadjah Mada Yogyakarta Indonesia Department of Chemistry Faculty of Mathematics and Natural Sciences Universitas Gadjah Mada Yogyakarta Indonesia

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ASYMPTOTIC EXPANSIONS OF STABLE, STABILIZABLE AND STABILIZED MEANS WITH APPLICATIONS

arXiv

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arXiv 2023年

作者： Mihoković, Lenka University of Zagreb Faculty of Electrical Engineering and Computing Department of Applied Mathematics Unska 3 Zagreb10000 Croatia

In this paper we present a complete asymptotic expansion of a symmetric homogeneous stable (balanced), stabilizable and stabilized mean. By including known asymptotic expansions of parametric means it is shown how the obtained coefficients are used to solve the problem of identifying stable means within classes of parametric means under consideration, how to disprove some mean is stabilizable or stabilized and how to obtain best possible parameters such that given mean is stabilizable with some pair of parametric *** Codes 26E60, 41A60, 39B22, Copyright © 2023, The Authors. All rights reserved.

关键词： Expansion

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Dermatological Diagnostics: A Unified Deep Learning Framework for Skin Lesion and Cancer Classification 1

Dermatological Diagnostics: A Unified Deep Learning Framewor...

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1st IEEE International Conference on Advances in Computing, Communication and Networking, ICAC2N 2024

作者： Kumar, Vinod Jain, Isha Dongla, Durga Sritha Rai, Shivangi Rastogi, Vani Kaushik, Eva Kaushik, Rohit George Washington University School of Engineering and Applied Science WashingtonDC United States Dr. Akhilesh Das Gupta Institute of Technology and Management Computer Science and Engineering Department New Delhi India Gandhi Institute of Technology and Management Computer Science and Engineering Department Andhra Pradesh Visakhapatnam India Data Scientist DXC Technology Noida India Data Analytics Program University of Illinois CS and Mathematics Department Springfield United States

ISBN: (纸本)9798350356816

Skin pathologies encompass a spectrum of conditions, with malignancies such as melanoma representing a critical diagnostic urgency. This investigation delineates the deployment of Convolutional Neural Networks (CNNs) for the classification of dermatological anomalies, benchmarking CNN diagnostic fidelity against dermatological expert evaluations. The study underscores the efficacy of CNN classifiers in expediting the diagnostic workflow for various cutaneous disorders. Advocating for an automated diagnostic framework, the research introduces a CNN-based system aimed at reducing human diagnostic load, accelerating diagnostic timelines, and enhancing survival outcomes. Utilizing advanced image processing algorithms and deep learning architectures, the research presents an automated classification system for skin pathologies, addressing both benign and malignant presentations. The classification matrix includes nine dermatological conditions: actinic keratosis, basal cell carcinoma, benign keratosis, dermatofibroma, melanoma, nevus, seborrheic keratosis, squamous cell carcinoma, and vascular lesions. The objective is to engineer a CNN model with robust diagnostic performance across a diverse lesion dataset, ensuring accurate identification and categorization of dermatological conditions. © 2024 IEEE.

关键词： Convolutional neural networks

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A hysteresis type strategy for server reservation in a multi-server queueing system with priority and retrials 35

A hysteresis type strategy for server reservation in a multi...

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35th European Modeling and Simulation Symposium, EMSS 2023

作者： D’Apice, Ciro Dudin, Alexander Manzo, Rosanna Rarità, Luigi Dipartimento di Scienze Aziendali Management & Innovation Systems University of Salerno Via Giovanni Paolo II 132 SA Fisciano84084 Italy Department of Applied Mathematics and Computer Science Belarusian State University 4 Nezavisimosti Ave. Minsk220030 Belarus Department of Information and Electrical Engineering and Applied Mathematics University of Salerno Via Giovanni Paolo II 132 SA Fisciano84084 Italy

ISBN: (纸本)9788885741881

This work deals with a possible model of a cell of cognitive radio architectures via a multi-server queueing system with two different types of requests and preemptive priority of one type of requests on the other. Service demands arrive according to Markovian Arrival Processes in order to capture traffic correlation. Cognitive engine tries to find a solution or optimize a performance goal based on the received inputs that define the radio’s current internal state and operating environment. Hence, beside priority mechanisms, a possible deactivation of information to transmit is considered via a hysteresis type strategy for the access to the service, with the aim of smoothing the effects of service interruptions for low priority requests. Fixed values for the thresholds of the strategy are assumed. The system is statistically described by a level-dependent multi-dimensional Markov chain, which allows the computation of stationary probabilities and robust performance indices. Numerical results are presented to compare the system performances in the case of uncorrelated flows and flows with different correlation levels. © 2020 The Authors.

关键词： Cognitive radio

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Maintenance Optimization of Dormant Systems Submitted to Failure Based PM and Imperfect CM.

Maintenance Optimization of Dormant Systems Submitted to Fai...

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International Conference on Digital Technologies (DT)

作者： Radim Briš Pavel Jahoda Department of Applied Mathematics Faculty of Electrical Engineering and Computer Science VSB - Technical University of Ostrava Czech Republic

This paper deals with the exploration of a system which acts on demand in case of emergency matter. To verify functionality, each component of the system must be regularly inspected with a specified inspection interval and tested to find latent failures. A failure-based preventive maintenance (PM) is considered, in context with the imperfect corrective maintenance model. This means that PM brings full renew which is realized after a beforehand setting the number of failures. If a failure occurs, it is detected during the first follow-up inspection and the reparation process starts. The imperfect corrective maintenance model is intended where each repair deteriorates the system life-time whose probability distribution is gradually altered through rising failure rate. Reliability mathematics for unavailability analysis is briefly demonstrated. The new renewal process model, including the failure-based PM, has been termed as a real ageing process. The imperfect corrective maintenance as well as increasing length of the inspection interval result in unwanted increase of system unavailability function which can be eliminated as well as optimized by the properly selected failure-based PM applied to all system components. If the PM is fixed due to cost, inspection intervals of system components can be optimized to keep the maximal value of the unavailability function in its original level. Sensitivity analysis applied to the length of the optimal inspection intervals with regard to gradually changing PM is demonstrated. This optimization process is demonstrated on a four-component system adopted from references.

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Invisible Servoing: A Visual Servoing Approach with Return-Conditioned Latent Diffusion

Invisible Servoing: A Visual Servoing Approach with Return-C...

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International Conference on Unmanned Aircraft Systems (ICUAS)

作者： Bishoy Gerges Barbara Bazzana Nicolò Botteghi Youssef Aboudorra Antonio Franchi Robotics and Mechatronics group Faculty of Electrical Engineering Mathematics and Computer Science University of Twente Enschede The Netherlands Department of Applied Mathematics University of Twente Enschede The Netherlands Department of Computer Control and Management Engineering Sapienza University of Rome Rome Italy

ISBN: (数字)9798331513283

ISBN: (纸本)9798331513290

In this paper, we present a novel visual servoing (VS) approach based on latent Denoising Diffusion Probabilistic Models (DDPMs), that explores the application of generative models for vision-based navigation of UAVs (Uncrewed Aerial Vehicles). Opposite to classical VS methods, the proposed approach allows reaching the desired target view, even when the target is initially not visible. This is possible thanks to the learning of a latent representation that the DDPM uses for planning and a dataset of trajectories encompassing target-invisible initial views. A compact representation is learned from raw images using a Cross-Modal Variational Autoencoder. Given the current image, the DDPM generates trajectories in the latent space driving the robotic platform to the desired visual target. The approach has been validated in simulation using two generic multi-rotor UAVs (a quadrotor and a hexarotor). The results show that we can successfully reach the visual target, even if not visible in the initial view. A video summary with simulations can be found in: https://***/2Hb3nkkcszE.

关键词： Location awareness Visualization Pipelines Noise reduction Autonomous aerial vehicles Visual servoing Trajectory Planning Standards Robots

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Selling price, time dependent demand and variable holding cost inventory model with two storage facilities

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Materials Today: Proceedings 2022年 56卷 245-251页

作者： Aarya, Deo Datta Rajoria, Yogendra Kumar Gupta, Neha Raghav, Yashpal Singh Rathee, Rakesh Boadh, Rahul Kumar, Ajay Department of Mathematics Acharya Narendra Dev College University of Delhi India Department of the Mathematics School of Basic and Applied Science K. R. Mangalam University Sohna Road Gurugram Haryana 122103 India Amity School of Business Amity University Uttar Pradesh Noida201313 India Department of Mathematics Faculty of Science Jazan University 45142 Saudi Arabia Department of Electrical Engineering DPG Institute of Technology and Management Haryana Gurgaon122001 India Department of Mechanical Engineering Faculty of Engineering and Technology Shree Guru Govind Singh Tricentenary University Haryana Gurugram122505 India

Customer service stock-out rates, as well as the company's business sales and marketing productivity, are controlled by the storage facility (warehouse). In this study, a two- storage production inventory model with demand dependent on price and time described. The rate of demand is governed by the selling price and the time. In this analysis, we hypothesized that the deterioration rate is constant and that the holding cost for own storage is time-dependent (OW). For rental storage, the deterioration rate is considered to be time-dependent, while the holding cost is assumed to be constant (RW) which is more realistic. This study assists to reduce total inventory costs by finding the best replenishment strategy. A numerical example is used to demonstrate the model's method, as well as a sensitivity analysis on a few parameters. © 2022

关键词： Sensitivity analysis

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