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Theory II: Deep learning and optimization 理论二:深度学习和优化
IF 1.2 4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/BPAS.2018.125925
T. Poggio, Q. Liao
Bull. Pol. Ac.: Tech. 66(6) 2018 Abstract. The landscape of the empirical risk of overparametrized deep convolutional neural networks (DCNNs) is characterized with a mix of theory and experiments. In part A we show the existence of a large number of global minimizers with zero empirical error (modulo inconsistent equations). The argument which relies on the use of Bezout theorem is rigorous when the RELUs are replaced by a polynomial nonlinearity. We show with simulations that the corresponding polynomial network is indistinguishable from the RELU network. According to Bezout theorem, the global minimizers are degenerate unlike the local minima which in general should be non-degenerate. Further we experimentally analyzed and visualized the landscape of empirical risk of DCNNs on CIFAR-10 dataset. Based on above theoretical and experimental observations, we propose a simple model of the landscape of empirical risk. In part B, we characterize the optimization properties of stochastic gradient descent applied to deep networks. The main claim here consists of theoretical and experimental evidence for the following property of SGD: SGD concentrates in probability – like the classical Langevin equation – on large volume, ”flat” minima, selecting with high probability degenerate minimizers which are typically global minimizers.
公牛。波尔。通信技术,66(6)2018过度参数化深度卷积神经网络(DCNNs)的经验风险景观具有理论和实验的混合特征。在A部分中,我们展示了大量具有零经验误差(模不一致方程)的全局极小值的存在性。当用多项式非线性代替relu时,依靠Bezout定理的论证是严格的。我们通过仿真证明了相应的多项式网络与RELU网络是无法区分的。根据Bezout定理,全局最小值是简并的,而局部最小值通常是不简并的。此外,我们还对CIFAR-10数据集上的DCNNs的经验风险进行了实验分析和可视化。基于上述理论和实验观察,我们提出了一个简单的经验风险景观模型。在B部分中,我们描述了应用于深度网络的随机梯度下降的优化特性。这里的主要主张包括理论和实验证据,证明了SGD的以下性质:SGD集中在概率上——像经典的朗之万方程一样——集中在大体积的“平坦”极小值上,选择具有高概率的退化极小值,这是典型的全局极小值。
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引用次数: 8
Road vehicle sequencing problem in a railroad intermodal terminal – simulation research 铁路多式联运码头道路车辆排序问题的仿真研究
IF 1.2 4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/BPASTS.2020.134643
M. Jacyna, R. Jachimowski, E. Szczepański, M. Izdebski
The paper presents the issue of container handling processes at a railroad intermodal terminal. The main purpose of this paper is the assessment of the handling equipment utilization and the associated energy consumption. The authors analyze how the road vehicle availability at the moment specified in the containers loading schedule influences the total handling equipment operation time as well as the necessary number of handling equipment. It is assumed that vehicles planned for loading of import containers may be late for loading, which causes some interruptions in the loading schedule. Such interruptions are identified with the necessity to handle the next container for which the road vehicle is already waiting, which influences the handling equipment utilization and, finally, energy consumption. The general mathematical model of the problem developed in the FlexSim simulation software was presented. Based on the simulation research, it pointed out that proper road vehicles loading sequencing can significantly reduce handling equipment operation time, and thus energy consumption, costs, and CO2 emissions. The literature analysis presented in the paper indicates that most of the research in the field of intermodal transport is focused on operations optimization in container ports. There are differences between two types of intermodal terminals in operation procedures and rules. That is why the authors decided to undertake the problem of road vehicle sequencing including their random availability and its influence on handling device operation time, which has not been considered in the literature so far.
本文介绍了铁路多式联运码头集装箱装卸过程的问题。本文的主要目的是对搬运设备的利用率和能耗进行评估。分析了集装箱装货计划中规定时刻的道路车辆可用性对装卸设备总作业时间和所需装卸设备数量的影响。假设计划装载进口集装箱的车辆可能会迟到,从而导致装载计划出现一些中断。这种中断被认为是需要处理公路车辆已经在等待的下一个集装箱,这影响了处理设备的利用率,最终影响了能源消耗。在FlexSim仿真软件中建立了该问题的一般数学模型。在仿真研究的基础上,指出合理的道路车辆装载顺序可以显著减少搬运设备的运行时间,从而减少能耗、成本和二氧化碳排放。本文的文献分析表明,多式联运领域的研究大多集中在集装箱港口的作业优化上。两种类型的多式联运码头在操作程序和规则上存在差异。这就是为什么作者决定承担道路车辆排序问题,包括它们的随机可用性及其对搬运装置操作时间的影响,这是迄今为止文献中尚未考虑的问题。
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引用次数: 10
Stationary supercapacitor energy storage operation algorithm based on neural network learning system 基于神经网络学习系统的固定式超级电容器储能运行算法
IF 1.2 4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/BPASTS.2020.134176
W. Jefimowski, A. Nikitenko, Z. Drążek, M. Wieczorek
The paper proposes to apply an algorithm for predicting the minimum level of the state of charge (SoC) of stationary supercapacitor energy storage system operating in a DC traction substation, and for changing it over time. This is done to insure maximum energy recovery for trains while braking. The model of a supercapacitor energy storage system, its algorithms of operation and prediction of the minimum state of charge are described in detail; the main formulae, graphs and results of simulation are also provided. It is proposed to divide the SoC curve into equal periods of time during which the minimum states of charge remain constant. To predict the SoC level for the subsequent period, the learning algorithm based on the neural network could be used. Then, the minimum SoC could be based on two basic types of data: the first one is the time profile of the energy storage load during the previous period with the constant minimum SoC retained, while the second one relies on the trains’ locations and speed values in the previous period. It is proved that the use of variable minimum SoC ensures an increase of the energy volume recovered by approximately 10%. Optimum architecture and activation function of the neural network are also found.
本文提出了一种用于预测直流牵引变电所运行的固定式超级电容器储能系统的最低荷电状态(SoC)水平并随时间变化的算法。这样做是为了确保列车在制动时最大限度地回收能量。详细介绍了超级电容器储能系统的模型、运行算法和最小电荷状态的预测;给出了主要公式、图形和仿真结果。建议将荷电状态曲线划分为相等的时间段,在此时间段内保持最小电荷状态不变。为了预测后续阶段的SoC水平,可以使用基于神经网络的学习算法。然后,最小荷电状态可以基于两种基本类型的数据:第一种是前一时段储能负荷的时间分布,保持恒定的最小荷电状态;第二种是依赖于前一时段列车的位置和速度值。实验证明,使用可变最小SoC可确保回收的能量体积增加约10%。并给出了神经网络的最优结构和激活函数。
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引用次数: 5
Static load test curve analysis based on soil field investigations 基于土壤现场调查的静载试验曲线分析
IF 1.2 4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/BPAS.2019.128607
P. Siemaszko, Z. Meyer
This paper expands the M-K curve theory with examples of the most commonly mentioned pile-soil mechanics behaviours in the literature and their corresponding κ2 variations. A brief introduction shows the history of the Meyer-Kowalow theory and its basic assumptions. This is followed by the relationship between in situ investigation CPT results, with parameters C1, C2, Ct used to approximate the load-settlement curve according to the M-K theory. The Meyer-Kowalow curve satisfies asymptotic behaviour for small loads, where linear theory applies, and for limit loads, when pile displacement is out of control. Essential in the description are constant parameters C, which refer to the aggregated Winklers modulus, Ngr limit loads and k, which is crucial for static load test results. For this reason, the authors sought to calculate the κ value based upon soil mechanics principles. This article shows methods for checking statistical mathematical calculations, published earlier by Meyer using CPT investigations. It presents real case calculations and directions for future planned research.
本文以文献中最常提到的桩土力学行为及其相应的κ2变化为例,对M-K曲线理论进行了扩展。简要介绍Meyer-Kowalow理论的历史及其基本假设。其次是原位调查CPT结果之间的关系,根据M-K理论,使用参数C1, C2, Ct近似荷载-沉降曲线。对于小荷载,Meyer-Kowalow曲线满足渐近行为,适用线性理论,对于极限荷载,当桩位移失控时。描述中必不可少的常数参数C,它指的是总和温克勒斯模量、Ngr极限载荷和k,这对静载试验结果至关重要。因此,作者试图根据土力学原理计算κ值。本文展示了检验统计数学计算的方法,这些计算是Meyer先前使用CPT调查发表的。给出了实际案例计算和未来计划研究的方向。
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引用次数: 9
Center of circles intersection, a new defuzzification method for fuzzy numbers 圆心相交,一种新的模糊数去模糊化方法
IF 1.2 4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/BPASTS.2020.131850
H. Zarzycki, W. Dobrosielski, Ł. Apiecionek, T. Vince
The article introduces a new proposal of a defuzzif ication method, which can be implemented in fuzzy controllers. The f irst chapter refers to the origin of fuzzy sets. Next, a modern development based on this theory is presented in the form of ordered fuzzy numbers (OFN). The most important characteristics of ordered fuzzy numbers are also presented. In the following chapter, details about the defuzzif ication process are given as part of the fuzzy controller model. Then a new method of defuzzif ication is presented. The method is named center of circles intersection (CCI). The authors compare this method with a similar geometric solution: triangular expanding (TE) and geometric mean (GM). Also, the results are compared with other methods such as center of gravity (COG), f irst of maxima (FOM) and last of maxima (LOM). The analysis shows that the proposed solution works correctly and provides results for traditional fuzzy numbers as well as directed fuzzy numbers. The last chapter contains a summary, in which more detailed conclusions are provided and further directions of research are indicated.
本文提出了一种新的解模糊方法,可以在模糊控制器中实现。第一章是模糊集的起源。然后,以有序模糊数(OFN)的形式介绍了这一理论的现代发展。给出了有序模糊数最重要的特征。在下一章中,作为模糊控制器模型的一部分,详细介绍了解模糊过程。然后提出了一种新的消模糊方法。该方法称为圆心相交法(CCI)。作者将此方法与类似的几何解:三角形展开(TE)和几何平均(GM)进行了比较。并与重心法(COG)、第一极大值法(FOM)和最后极大值法(LOM)等方法进行了比较。分析表明,所提出的方法是正确的,并提供了传统模糊数和有向模糊数的结果。最后一章为总结,给出了更详细的结论,并指出了进一步的研究方向。
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引用次数: 3
Influence of contact gaps on the conditions of vehicles supply and wear and tear of catenary wires in a 3 kV DC traction system 3kv直流牵引系统接触间隙对车辆供电条件及接触网导线磨损的影响
IF 1.2 4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/BPASTS.2020.133373
T. Maciołek, M. Lewandowski, A. Szeląg, M. Steczek
Short-term contact losses between a pantograph and a contact wire are not included in the standards nor are they taken into account in evaluating pantograph-contact wire interaction. These contact losses, however, accelerate wear and tear as well as disturb operation of vehicles’ drive systems. The article presents the effects of short-term contact breaks as well as an analysis of impact of contact breakages on a vehicle’s current at 3 kV DC power supply. Results of voltage and current oscillations measured in real conditions when pantograph of a DC driven chopper vehicle was running under isolators were presented. Then a simulation model of a vehicles with ac motors and voltage inverters was derived to undertake simulation experiments verifying operation of such a vehicle in condition similar to those measured in real condition.
受电弓和接触导线之间的短期接触损耗不包括在标准中,在评估受电弓-接触导线相互作用时也不考虑。然而,这些接触损耗会加速磨损,并干扰车辆驱动系统的运行。本文介绍了短期触点断开的影响,并分析了在3kv直流电源下触点断开对车辆电流的影响。给出了直流驱动斩波车受电弓在隔离器下运行时的实际电压和电流振荡测量结果。在此基础上,建立了具有交流电机和电压逆变器的车辆仿真模型,并进行了仿真实验,验证了该车辆在与实际工况相似的情况下的运行情况。
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引用次数: 2
Stator winding fault diagnosis of induction motor operating under the field-oriented control with convolutional neural networks 基于卷积神经网络的定向磁场控制异步电动机定子绕组故障诊断
IF 1.2 4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/BPASTS.2020.134660
M. Skowron, M. Wolkiewicz, G. Tarchała
In this paper deep neural networks are proposed to diagnose inter-turn short-circuits of induction motor stator windings operating under the Direct Field Oriented Control method. A convolutional neural network (CNN), trained with a Stochastic Gradient Descent with Momentum method is used. This kind of deep-trained neural network allows to significantly accelerate the diagnostic process compared to the traditional methods based on the Fast Fourier Transform as well as it does not require stationary operating conditions. To assess the effectiveness of the applied CNN-based detectors, the tests were carried out for variable load conditions and different values of the supply voltage frequency. Experimental results of the proposed induction motor fault detection system are presented and discussed.
本文提出了一种基于深度神经网络的异步电动机定子绕组匝间短路诊断方法。采用随机梯度下降动量法训练卷积神经网络(CNN)。与基于快速傅里叶变换的传统方法相比,这种深度训练的神经网络可以显著加快诊断过程,并且不需要固定的操作条件。为了评估所应用的基于cnn的检测器的有效性,在不同的负载条件和不同的电源电压频率值下进行了测试。给出了所提出的感应电机故障检测系统的实验结果并进行了讨论。
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引用次数: 6
Application of extended Kalman filter for estimation of periodic disturbance and velocity ripple reduction in PMSM drive 扩展卡尔曼滤波在永磁同步电机周期扰动估计和速度纹波抑制中的应用
IF 1.2 4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/BPASTS.2020.134649
Ł. Niewiara, T. Tarczewski, L. Grzesiak
In this paper an application of extended Kalman filter (EKF) for estimation and attenuation of periodic disturbance in permanent magnet synchronous motor (PMSM) drive is investigated. Most types of disturbances present into PMSM drive were discussed and described. The mathematical model of the plant is presented. Detailed information about the design process of the disturbance estimator was introduced. A state feedback controller (SFC) with feedforward realizes the regulation and disturbance compensation. The theoretical analysis was supported by experimental tests on the laboratory stand. Both timeand frequency-domain analysis of the estimation results and angular velocity were performed. A significant reduction of velocity ripple has been achieved.
研究了扩展卡尔曼滤波(EKF)在永磁同步电机(PMSM)驱动中周期性扰动估计和衰减的应用。讨论和描述了永磁同步电动机驱动中存在的大多数类型的扰动。建立了该装置的数学模型。详细介绍了干扰估计器的设计过程。采用带前馈的状态反馈控制器(SFC)实现系统的调节和扰动补偿。理论分析得到了试验台试验结果的支持。对估计结果和角速度进行了时域和频域分析。速度脉动显著减小。
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引用次数: 5
Energy-based spectrum sensing with copulas for cognitive radios 基于能量的频谱感知与认知无线电的copula
4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/bpasts.2020.134177
F.Y. Ilgin
In this study, an energy-based spectrum sensing method combined with copula theory is proposed for cognitive radio systems. In the proposed spectrum sensing model, cognitive radio users first make their own local spectrum decision with energy-based spectrum sensing. Then, they forward their decision to the fusion center. In the fusion center, this decision is compared with the threshold value determined by copula theory and global spectrum decision is made. The test statistic at the fusion center were obtained with the Neyman Pearson approach. Thus, the fusion rule was created for the fusion center and necessary simulation studies were performed. According to the results of the simulation studies, the proposed detection method showed better results than the traditional energy based detection method.
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引用次数: 5
Current harmonic controller in multiple reference frames for series active power filter integrated with 18-pulse diode rectifier 18脉冲二极管整流器串联有源滤波器多参考系电流谐波控制器
4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-06 DOI: 10.24425/bpas.2018.125336
W. Śleszyński, A. Cichowski, P. Mysiak
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引用次数: 6
期刊
Bulletin of the Polish Academy of Sciences-Technical Sciences
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