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arXiv 2023年

作者： Malešević, Branko Mićović, Miloš University of Belgrade School of Electrical Engineering Department of Applied Mathematics Belgrade11000 Serbia

This paper considers MEP - Mixed Exponential Polynomials as one class of real exponential polynomials. We introduce a method for proving the positivity of MEP inequalities over positive intervals using the Maclaurin series to approximate the exponential function precisely. Additionally, we discuss the relation between MEPs and stratified families of functions from [1] through two applications, referring to inequalities from papers [2] and [3].MSC Codes 33B10, 26D07 © 2023, CC BY.

关键词： Exponential functions

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IPSE: An Individualized Digital Environment for Strategic Planning at the University Level

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Digital Experiences in mathematics Education 2024年第3期10卷 487-513页

作者： Albano, Giovannina Telloni, Agnese Ilaria Department of Information and Electrical Engineering and Applied Mathematics DIEM University of Salerno Fisciano Italy Department of Primary Education Science Cultural Heritage and Tourism University of Macerata Macerata Italy

This study focuses on the design and the implementation of a digital environment aimed at fostering strategic planning competence in problem-solving through individualization features: the Individualized Planned Strategy Environment (IPSE). Within IPSE, students are engaged in a sequence of oriented activities, guiding them in constructing and following a theoretically justified plan for solving a mathematical problem, thus promoting a gradual integration between conceptual and procedural knowledge. IPSE envisages also meta-level activities, aimed at fostering the handling of multiple representations toward a unifying and structural view of the subject at stake. We discuss the results of a case study conducted with engineering freshmen at the University of Salerno, involved in problem-solving activities devoted to peer assessment. This led us to identify certain student profiles both theory- and data-driven, according to the students’ progress in using the components of Habermas’ rationality when solving a problem. We highlighted that some students show a full realization of the dynamic nature of Habermas’ model of rationality, where knowing, acting and communicating interact and intertwine.

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Deterministic Quantum Repeater with Single Atoms in Cavities

arXiv

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arXiv 2024年

作者： Lei, Yisheng Department of Electrical and Computer Engineering and Applied Physics Program Northwestern University EvanstonIL60208 United States

Efficient quantum repeaters are needed to combat photon losses in fibers in future quantum networks. Single atom coupled with photonic cavity offer a great platform for photon-atom gate. Here I propose a quantum repeater scheme with deterministic entanglement generation and entanglement swapping based on photon-atom gates. It can be implemented with various types of atomic systems and require much less experimental complexity compared with other repeater protocols. With current available experimental techniques and reasonable improvements, high entanglement distribution rates can be achieved. A multiplexing configuration of 5-10 single atoms in cavities, secret key rates in order of 100s Hz to kHz can be achieved for communication distance of 1000km, and a few Hz to 10s Hz can be achieved for communication distance of 10000km with longer atomic coherence time and lower photon-atom gate error rate. This proposal paves the way to demonstrate efficient entanglement distribution with quantum repeaters in near future. © 2024, CC BY.

关键词： Atoms

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Generalized Dissipativity and Nonlinear Negative Imaginary Systems

Generalized Dissipativity and Nonlinear Negative Imaginary S...

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UKACC International Conference on Control (CONTROL)

作者： Nader Meskin Mohamed A. Mabrok Alexander Lanzon Electrical Engineering Department College of Engineering Qatar University Department of Mathematics Statistics and Physics Mathematics Program College of Arts and Sciences Qatar University Doha Qatar Department of Electrical and Electronic Engineering Control Systems Centre University of Manchester Manchester UK

ISBN: (数字)9798350374261

ISBN: (纸本)9798350374278

Nonlinear negative imaginary systems find application in a range of engineering fields, including the control of flexible structures and air vehicles. Nevertheless, unlike their linear counterparts, the theory for nonlinear negative imaginary systems is not as well-established. In this paper, we propose a generalized k-th order dissipativity framework with respect to a supply rate which is a function of the k-th time-derivative of the system output. It is shown that positive realness and negative imaginaryness can be defined in this general framework in a unified manner. Then, necessary and sufficient conditions for first order dissipativity of nonlinear systems are obtained. These capture and are more general than the negative imaginary property. Moreover, the concept of exponentially negative imaginary systems for both linear and nonlinear systems is developed and the required conditions are obtained.

关键词： Linear systems Sufficient conditions Robust stability Control systems Nonlinear systems Flexible structures

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Exact Output Synchronization of Discrete-Time Multi-Agent Systems in the Presence of Disturbances and Measurement Noise with Known Frequencies via Scale-Free Protocol Design 42

Exact Output Synchronization of Discrete-Time Multi-Agent Sy...

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42nd Chinese Control Conference, CCC 2023

作者： Liu, Zhenwei Zhang, Meirong Saberi, Ali Stoorvogel, Anton A. College of Information Science and Engineering Northeastern University Shenyang110819 China School of Engineering and Applied Science Gonzaga University SpokaneWA United States School of Electrical Engineering and Computer Science Washington State University PullmanWA99164 United States Mathematics and Computer Science Department of Electrical Engineering University of Twente Enschede Netherlands

ISBN: (纸本)9789887581543

This paper aims to achieve scalable exact output synchronization for discrete-time homogeneous multi-agent systems in the presence of disturbances and measurement noise with known frequencies. The key contribution of this paper is on the distributed protocol that only uses the information of agent models, rather than the communication network information and the agent number, so as to achieve the scalable exact synchronization under disturbances and measurement noise. The validity of the protocol is verified by numerical simulations with arbitrarily chosen number of agents. © 2023 Technical Committee on Control Theory, Chinese Association of Automation.

关键词： Multi agent systems

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Demystifying Disagreement-on-the-Line in High Dimensions 40

Demystifying Disagreement-on-the-Line in High Dimensions

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40th International Conference on Machine Learning, ICML 2023

作者： Lee, Donghwan Moniri, Behrad Huang, Xinmeng Dobriban, Edgar Hassani, Hamed Graduate Group in Applied Mathematics and Computational Science University of Pennsylvania PA United States Department of Electrical and Systems Engineering University of Pennsylvania PA United States Department of Statistics and Data Science University of Pennsylvania PA United States

Evaluating the performance of machine learning models under distribution shifts is challenging, especially when we only have unlabeled data from the shifted (target) domain, along with labeled data from the original (source) domain. Recent work suggests that the notion of disagreement, the degree to which two models trained with different randomness differ on the same input, is a key to tackling this problem. Experimentally, disagreement and prediction error have been shown to be strongly connected, which has been used to estimate model performance. Experiments have led to the discovery of the disagreement-on-the-line phenomenon, whereby the classification error under the target domain is often a linear function of the classification error under the source domain;and whenever this property holds, disagreement under the source and target domain follow the same linear relation. In this work, we develop a theoretical foundation for analyzing disagreement in high-dimensional random features regression;and study under what conditions the disagreement-on-the-line phenomenon occurs in our setting. Experiments on CIFAR-10-C, Tiny ImageNet-C, and Camelyon17 are consistent with our theory and support the universality of the theoretical findings. © 2023 Proceedings of Machine Learning Research. All rights reserved.

关键词： Errors

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Low-temperature spin Seebeck effect in nonmagnetic vanadium dioxide

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Physical Review B 2024年第2期110卷 024415-024415页

作者： Renjie Luo Tanner J. Legvold Liyang Chen Henry Navarro Ali C. Basaran Deshun Hong Changjiang Liu Anand Bhattacharya Ivan K. Schuller Douglas Natelson Department of Physics and Astronomy Applied Physics Graduate Program Rice Quantum Institute Department of Physics and Center for Advanced Nanoscience Materials Science Division Department of Electrical and Computer Engineering Department of Materials Science and NanoEngineering

The spin Seebeck effect (SSE) is sensitive to thermally driven magnetic excitations in magnetic insulators. Vanadium dioxide in its insulating low-temperature phase is expected to lack magnetic degrees of freedom, as vanadium atoms are thought to form singlets upon dimerization of the vanadium chains. Instead, we find a paramagnetic SSE response in VO2 films that grows as the temperature decreases below 50 K. The field and temperature-dependent SSE voltage is qualitatively consistent with a general model of paramagnetic SSE response and inconsistent with triplet spin transport. Quantitative estimates find a spin Seebeck coefficient comparable in magnitude to that observed in strongly magnetic materials. The microscopic nature of the magnetic excitations in VO2 requires further examination.

关键词： Spin Seebeck effect Paramagnets Strongly correlated systems

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A SoC-Based programmable Portable Ultrasound Scanning System for Point-of-Care Applications and Clinical Research Activities

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SN Computer Science 2022年第5期3卷 1-11页

作者： Bharath, R. Santhosh Reddy, D. Rajalakshmi, P. Department of Applied Mathematics Defence Institute of Advanced Technology Girinagar Maharashtra Pune 411025 India Department of Electrical Engineering Indian Institute of Technology Hyderabad Sangareddy Telangana Hyderabad 402285 India

In this paper, we propose a programmable SoC-based hardware framework that can be used for developing a complete clinical portable ultrasound scanning (PUS) system for remote healthcare, point-of-care diagnostics and clinical research activities. The system is developed for 16 channel data acquisition and is provided with additional external interfaces like Ethernet, RS-232, HDMI, VGA and USB ports enabling the system for more reliable diagnostics in remote healthcare settings. To reduce the size of the ultrasound scanning system, the front-end signal processing hardware along with the external interfaces are integrated on an eight layered printed circuit board (PCB). The front-end processing, which includes analog signal conditioning and transmit beamforming are implemented on dedicated hardware, while the mid-end and back-end processing algorithms are implemented on the FPGA processor. The controlling and coordination between the entire processing modules are done using an onboard ARM processor. The developed PUS serves three main purposes: (1) it can be used to acquire RF data at different instances of the signal processing modules that can be used for testing new algorithms and developing computer-aided diagnostics, (2) provided with JTAG and UART ports that can be used for testing and debugging the algorithms while up-gradation, and (3) the proposed system can be interfaced with a smart phone to access the scanned data from the ultrasound board for display. The developed PUS have a dimension 235 mm × 205 mm and weigh approximately 450 g. © 2022, The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd.

关键词： Noninvasive medical imaging Point-of-care diagnostics programmable ultrasound scanning System on chip Ultrasound research interface

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Polymer-Based Lab-on-Tip Microstructures For Ultrasound Medical Diagnostics

Polymer-Based Lab-on-Tip Microstructures For Ultrasound Medi...

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IEEE Sensors Applications Symposium, SAS

作者： Barbara Rossi Paolo Massimo Aiello Maria Alessandra Cutolo Martino Giaquinto Andrea Cusano Giovanni Breglio Antonello Cutolo Department of Electrical Engineering and Information Technology University of Naples Federico II Naples Italy Department of Engineering University of Sannio Benevento Italy Department of Information Engineering Electrical Engineering and Applied Mathematics University of Salerno Fisciano Italy

ISBN: (数字)9798350369250

ISBN: (纸本)9798350369267

All-optical ultrasound is an emerging minimally invasive imaging technique widely used in biomedical applications, such as intravascular diagnostics and high-resolution photoacoustic endoscopy, requiring miniaturized probes with high sensitivity. In this context, Lab-on-fiber 3D micro-structures are becoming particularly attractive thanks to their small size and easy integration in minimally invasive endoscopic tools. Considering the advancements that the Lab-on-Fiber is continuously experiencing in terms of fabrication techniques, here we propose a comparison concerning design flexibility and performances of two different polymeric ultrasound sensors integrated on the fiber tip: a polymeric multilayer configuration and a membrane-based micro-structure. The former can be realized by means of the spin coating technique, while the latter with the Two-Photon-Polymerization technique. Both configurations have been designed and studied through Finite Element Method, evaluating their performances as ultrasound detectors in terms of sensitivity and bandwidth. Furthermore, their performances have been also compared to those obtained with a third configuration based on a plano-concave Fabry-Perot, which is currently the benchmark for this kind of sensor. Interestingly, the multilayer configuration introduces additional degrees of freedom in the design allowing for improving the optical behaviour, while the membrane configuration exhibits a resonant acoustic response that strongly enhances the sensitivity at high frequencies.

关键词： Optical fiber sensors Ultrasonic imaging Sensitivity Three-dimensional displays Minimally invasive surgery Bandwidth Nonhomogeneous media

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TKIL: Tangent Kernel Optimization for Class Balanced Incremental Learning

TKIL: Tangent Kernel Optimization for Class Balanced Increme...

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International Conference on Computer Vision Workshops (ICCV Workshops)

作者： Jinlin Xiang Eli Shlizerman Department of Electrical & Computer Engineering University of Washington Seattle USA Department of Electrical & Computer Engineering Department of Applied Mathematics University of Washington Seattle USA

When learning multiple tasks in a sequence, deep neural networks tend to loose accuracy on tasks learned in the past while gaining accuracy on the current task. This phenomenon is called catastrophic forgetting. Memory-based Class Incremental Learning (CIL) methods address this problem by re-learning exemplars retained in the memory from previous tasks. However, due to data imbalances between the training data for the current task and the limited exemplars from previous tasks, existing methods struggle to balance the accuracy across all seen tasks. Here, we propose to address data imbalance and in addition to a generic model to learn a set of task-specific parameters. In particular, we propose a novel methodology of Tangent Kernel for Incremental Learning (TKIL) that seeks an equilibrium between current and previous representations. Specifically, TKIL achieves such equilibrium by tuning different task-specific parameters for different tasks with a new Gradient Tangent Kernel (GTK) loss. Therefore, when representing previous tasks, task-specific models are not impacted by the samples of the current task and are able to retain learned representations. As a result, TKIL equally considers the contribution from all task models. The generalized parameters that TKIL obtains allow it to automatically identify which task is being considered and to adapt to it during inference. Extensive experiments on five CIL benchmark datasets with ten incremental learning settings show that TKIL outperforms existing state-of-the-art methods, e.g., achieving 9.4% boost on CIFAR-100 with 25 incremental stages.

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