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Interpretable Fourier Neural Ordinary Differential Equations

Interpretable Fourier Neural Ordinary Differential Equations

引用

Fully Actuated System Theory and Applications (CFASTA), Conference on

作者： Hanlin Bian Wei Zhu Zhang Chen Jingsui Li Chao Pei Key Laboratory of Intelligent Analysis and Decision on Complex Systems Chongqing University of Posts and Telecommunications China

ISBN: (数字)9798350373691

ISBN: (纸本)9798350373707

Numerous interacting elements can form complex systems. However, describing complex systems is extremely challenging and lacks interpretability. The construction of models still heavily relies on scientists’ understanding of complex systems. This paper explores the use of neural ordinary differential equations in the field of complex system modeling. The proposed Fourier neural ordinary differential equations offer interpretability and a relatively simple structure. By building upon interpretable modeling, the scale is significantly reduced. It is possible to deduce the system’s expression from the model’s parameters. Finally, a real-world system is provided to illustrate the effectiveness of the proposed model, demonstrating its commendable robustness.

关键词： Training Atmospheric modeling Fitting Time series analysis Ordinary differential equations Predictive models Mathematical models

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Data-driven Control of Event-triggered Linear systems 11

Data-driven Control of Event-triggered Linear Systems

引用

11th IEEE Data Driven Control and Learning systems Conference, DDCLS 2022

作者： Wang, Xin Sun, Jian Wang, Gang State Key Lab of Intelligent Control and Decision of Complex Systems Beijing Institute of Technology Beijing100081 China Beijing Institute of Technology Chongqing Innovation Center Chongqing401120 China

ISBN: (数字)9781665496759

ISBN: (纸本)9781665496759

The present paper considers the data-driven control of unknown linear time-invariant discrete-time systems under an event-triggering transmission scheme. To this end, we begin by presenting a dynamic event-triggering scheme (ETS) based on periodic sampling, and a discrete-time looped-functional (DLF) approach, through which a model-based stability condition is derived. Combining the model-based condition with a recent data-based system representation, a data-driven stability criterion in the form of linear matrix inequalities (LMIs) is established, which offers a way of co-designing the ETS matrix and the controller using pre-collected noisy input-state data. Finally, numerical simulations showcase the efficacy of ETS in reducing data transmissions as well as of the proposed co-design methods. © 2022 IEEE.

关键词： Stability criteria

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Leader-following Consensus of Multi-agent systems via Event-Based Impulsive Control

Leader-following Consensus of Multi-agent Systems via Event-...

引用

2017中国智能物联系统会议

作者： ZHU Wei WANG Dandan Key Lab of Intelligent Analysis and Decision on Complex Systems Chongqing University of Posts and TelecommunicationsChongqing400065PR China

The leader-following consensus of multi-agent systems with general linear models is investigated in this *** event-based impulsive control protocol and the triggering function based on the states of the agents are *** impulsive instants are determined by the triggering function and triggering condition,that is,the impulsive effect performs only at the instants when the events occurs,and so as the controllers *** sufficient conditions on leader-following consensus are proposed,and the Zeno behavior is also ***,an example is presented to illustrate the effectiveness of the obtained theoretical results.

关键词： Leader-following Consensus Event-based Impulsive Control Zeno-behavior

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Bearing-Only Formation of Multi-Agent systems via Edge-Based Event-Triggered Control

Bearing-Only Formation of Multi-Agent Systems via Edge-Based...

引用

Chinese Control Conference (CCC)

作者： Chenjun Liu Wei Zhu Key Laboratory of Intelligent Analysis and Decision on Complex Systems Chongqing University of Posts and Telecommunications Chongqing China

The event-triggered bearing-only formation of leader-following multi-agent systems is studied in this paper. Based on the neighboring bearing information at event-triggering time instants, the edge-based event-triggered scheme for stationary formation is designed. The event-triggering time instants are iteratively determined by a combined technique, where the Zeno-behavior can be avoided directly. A sufficient condition for achieving formation is presented under the assumption that there is no collision among agents. Finally, the numerical simulation is given to illustrate the effectiveness of the theoretical results.

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Financial Time Series Prediction via Neural Ordinary Differential Equations Approach

Financial Time Series Prediction via Neural Ordinary Differe...

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complex systems and intelligent Science (CSIS-IAC), International Annual Conference on

作者： Jingsui Li Wei Zhu Zhang Chen Chao Pei Key Laboratory of Intelligent Analysis and Decision on Complex Systems Chongqing University of Posts and Telecommunications Chongqing China

This paper considers the prediction problem of financial time series, namely, the prediction of exchange rate for four currencies with the Chinese Yuan (CNY). A novel approach is developed for this challenging topic by neural ordinary differential equations (NODEs). The comparing simulations with long short-term memory (LSTM) and gated recurrent unit (GRU) show that NODEs have better precision and accuracy in exchange rate prediction. Especially, for the drastic change case, the NODEs approach gives more flexible technique.

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Containment Control of Fractional-order Nonlinear Multi-agent systems with Time Delay

Containment Control of Fractional-order Nonlinear Multi-agen...

引用

Fully Actuated System Theory and Applications (CFASTA), Conference on

作者： Yanqiu Li Wei Zhu Bo Chen Key Laboratory of Intelligent Analysis and Decision on Complex Systems Chongqing University of Posts and Telecommunications Chongqing China

ISBN: (数字)9798350373691

ISBN: (纸本)9798350373707

Formation control of multi-agent systems is an extension of its consensus problem, which has been widely used in control science and engineering, system science, information and communication engineering and other disciplines. Compared with using integral-order calculus to describe the change of the state of the object, the fractional-order calculus can represent and reflect the real physical characteristics of the object better. In this paper, containment control problem of fractional-order nonlinear multi-agent systems with time delay is studied. In spite of the difficulties and challenges caused by the operator complex property and system delay in fractional-order calculus, this paper solves the containment control problem by constructing a quadratic Lyapunov function and using matrix analysis theory, graph theory and fractional Razumikhin method. The conditions of linear matrix inequalities for asymptotically containment control are given. Finally, numerical simulation results verify the effectiveness of the proposed control scheme.

关键词： Delay effects Control systems Numerical simulation Calculus Graph theory Formation control Linear matrix inequalities

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Image Classification Based on Convolution and Lite Transformer 4

Image Classification Based on Convolution and Lite Transform...

引用

4th International Conference on Applied Machine Learning, ICAML 2022

作者： Han, Xiaoliang Wang, Kaihe Tu, Shengxia Zhou, Weisong Key Laboratory of Intelligent Analysis and Decision on Complex Systems Chongqing University of Posts and Telecommunications Chongqing China School of Science Chongqing University of Posts and Telecommunications Chongqing China Huawei Technologies Co. Ltd. Shenzhen China

ISBN: (纸本)9781665462655

Utilizing the self-attention mechanism, Vision transformer (ViT) can tap long-distance dependencies and get excellent performance in vision tasks. However, it is difficult for ViT to learn rich characteristics with limited processing resources or data. As a result, based on the ViT model, we use a lightweight module that combines the information intersection of window self-attention and the inductive bias of convolutional neural network (CNN) to build a backbone network Convolution Lite Transformer (CLT). Further, experimental results show that CLT achieves 79.21 percent accuracy on the ImageNet with fewer parameters, which is more accurate than the traditional CNN model and more suitable for lightweight deployment compared with the ViT model. © 2022 IEEE.

关键词： Convolution

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Copy-move Forgery Detection Based on YIQ and ORB for Color Images

Copy-move Forgery Detection Based on YIQ and ORB for Color I...

引用

2018 2nd International Conference on Computer Science and intelligent Communication(CSIC 2018)

作者： Zheng Jiming Hu Mengqi School of Computer Science and Technology Chongqing University of Posts and Telecommunications Key Lab of Intelligent Analysis and Decision on Complex Systems Chongqing University of Posts and Telecommunications

In order to solve the problem of the false matching in detecting copy-move forgeries, an improved method based on Oriented FAST and Rotated BRIEF(ORB) and YIQ color space is proposed. First, to detect the key points of the original image and extract ORB features. Secondly, for each key point, the YIQ color feature is extracted. Finally, the ORB feature descriptor and the YIQ color feature vector between every two different key points are matched to determine the copy-move regions. The experimental results show that the proposed algorithm can not only guarantee the high efficiency of the detection algorithm, but also can effectively reduce the false matching rate comparing with the ORB algorithm. What's more, the proposed algorithm has better robustness even when an image is distorted by Gaussian blur, white noise and JPEG compression.

关键词： digital image forensics copy-move detection YIQ color space mismatch elimination

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Path Planning for Robot Based on IACO-SFLA Hybrid Algorithm 32

Path Planning for Robot Based on IACO-SFLA Hybrid Algorithm

引用

32nd Chinese Control and decision Conference, CCDC 2020

作者： Pu, Xingcheng Xiong, Chaowen Zhao, Longlong Chongqing University of Posts and Telecommunications Key Laboratory of Intelligent Analysis and Decision on Complex Systems Chongqing400065 China Chongqing University of Posts and Telecommunications School of Automation Chongqing400065 China Chongqing University of Posts and Telecommunications School of Computer Science and Technology Chongqing400065 China

ISBN: (纸本)9781728158549

In order to solve the problem of slow convergence, low efficiency and easily getting into local optimal solution in robot path planning which is based on basic ant colony algorithm, a new algorithm combining improved ant colony algorithm(IACO) with shuffled frog leaping algorithm(SFLA) is proposed. In the novel ant colony algorithm, dynamic state transition strategy, dynamic global pheromone updating strategy and dynamic pheromone evaporation factor updating strategy are used to ensure the accuracy of solution and the convergence speed of the algorithm. Furthermore, conditional fallback strategy is adopted to ensure the global search ability of the novel algorithm. Numerical experiments show that the optimal path can be more effectively generated by using the improved leapfrog algorithm and the simplified operator in the last step. © 2020 IEEE.

关键词： Motion planning

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Consensus of First-order Multi-agent systems via Adaptive Event-Based Impulsive Control

Consensus of First-order Multi-agent Systems via Adaptive Ev...

引用

Chinese Control Conference (CCC)

作者： Qianghui Zhou Dandan Wang Wei Zhu Key Laboratory of Intelligent Analysis and Decision on Complex Systems Chongqing University of Posts and Telecommunications Chongqing P. R. China

This paper investigates the consensus problem of first-order multi-agent systems with adaptive event-based impulsive controller. The triggering function based on the states of the agents is designed. The impulsive instants are determined by the triggering function and triggering condition, that is, the impulsive effect performs at the instants when the events occur, and so as the controllers update. It is shown that not only the consensus can be achieved without the continue communication between neighboring agents but also the global information/parameters of the concerned closed-loop system are avoided. Moreover, the Zeno-behavior is excluded for the concerned closed-loop system. Finally, a numerical example is provided to illustrate the effectiveness of the obtained theoretical results.

关键词： Multi-agent systems Closed loop systems Protocols Topology Laplace equations Eigenvalues and eigenfunctions

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