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ADP-based fault-tolerant consensus control for multiagent systems with irregular state constraints 基于 ADP 的具有不规则状态约束的多代理系统的容错共识控制
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-14 DOI: 10.1016/j.neunet.2024.106737
This paper investigates the consensus control issue for nonlinear multiagent systems (MASs) subject to irregular state constraints and actuator faults using an adaptive dynamic programming (ADP) algorithm. Unlike the regular state constraints considered in previous studies, this paper addresses irregular state constraints that may exhibit asymmetry, time variation, and can emerge or disappear during operation. By developing a system transformation method based on one-to-one state mapping, equivalent unconstrained MASs can be obtained. Subsequently, a finite-time distributed observer is designed to estimate the state information of the leader, and the consensus control problem is transformed into the tracking control problem for each agent to ensure that actuator faults of any agent cannot affect its neighboring agents. Then, a critic-only ADP-based fault tolerant control strategy, which consists of the optimal control policy for nominal system and online fault compensation for time-varying addictive faults, is proposed to achieve optimal tracking control. To enhance the learning efficiency of critic neural networks (NNs), an improved weight learning law utilizing stored historical data is employed, ensuring the convergence of critic NN weights towards ideal values under a finite excitation condition. Finally, a practical example of multiple manipulator systems is presented to demonstrate the effectiveness of the developed control method.
本文采用自适应动态编程(ADP)算法,研究了非线性多代理系统(MAS)受不规则状态约束和执行器故障影响时的共识控制问题。与以往研究中考虑的常规状态约束不同,本文讨论的不规则状态约束可能表现出不对称性、时间变化以及在运行过程中可能出现或消失。通过开发一种基于一对一状态映射的系统转换方法,可以得到等效的无约束 MAS。随后,设计了一个有限时间分布式观测器来估计领导者的状态信息,并将共识控制问题转化为每个代理的跟踪控制问题,以确保任何代理的执行器故障都不会影响其相邻代理。然后,提出了一种基于纯批判 ADP 的容错控制策略,它由标称系统的最优控制策略和时变上瘾故障的在线故障补偿组成,以实现最优跟踪控制。为了提高批判神经网络(NN)的学习效率,利用存储的历史数据改进了权重学习法,确保批判神经网络权重在有限激励条件下向理想值收敛。最后,介绍了一个多机械手系统的实际例子,以证明所开发控制方法的有效性。
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引用次数: 0
Illumination-aware divide-and-conquer network for improperly-exposed image enhancement 用于不当曝光图像增强的照度感知分而治之网络
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-12 DOI: 10.1016/j.neunet.2024.106733

Improperly-exposed images often have unsatisfactory visual characteristics like inadequate illumination, low contrast, and the loss of small structures and details. The mapping relationship from an improperly-exposed condition to a well-exposed one may vary significantly due to the presence of multiple exposure conditions. Consequently, the enhancement methods that do not pay specific attention to this issue tend to yield inconsistent results when applied to the same scene under different exposure conditions. In order to obtain consistent enhancement results for various exposures while restoring rich details, we propose an illumination-aware divide-and-conquer network (IDNet). Specifically, to address the challenge of directly learning a sophisticated nonlinear mapping from an improperly-exposed condition to a well-exposed one, we utilize the discrete wavelet transform (DWT) to decompose the image into the low-frequency (LF) component, which primarily captures brightness and contrast, and the high-frequency (HF) components that depict fine-scale structures. To mitigate the inconsistency in correction across various exposures, we extract a conditional feature from the input that represents illumination-related global information. This feature is then utilized to modulate the dynamic convolution weights, enabling precise correction of the LF component. Furthermore, as the co-located positions of LF and HF components are highly correlated, we create a mask to distill useful knowledge from the corrected LF component, and integrate it into the HF component to support the restoration of fine-scale details. Extensive experimental results demonstrate that the proposed IDNet is superior to several state-of-the-art enhancement methods on two datasets with multiple exposures.

曝光不当的图像往往具有令人不满意的视觉特征,如照明不足、对比度低、小结构和细节丢失等。由于存在多种曝光条件,从曝光不当的条件到曝光良好的条件之间的映射关系可能会有很大差异。因此,没有特别关注这一问题的增强方法在不同曝光条件下应用于同一场景时,往往会产生不一致的结果。为了在不同曝光条件下获得一致的增强结果,同时还原丰富的细节,我们提出了一种光照感知分而治之网络(IDNet)。具体来说,为了解决直接学习从不当曝光条件到良好曝光条件的复杂非线性映射这一难题,我们利用离散小波变换(DWT)将图像分解为主要捕捉亮度和对比度的低频(LF)分量和描绘精细结构的高频(HF)分量。为了减少不同曝光下校正的不一致性,我们从输入中提取了一个条件特征,代表与光照相关的全局信息。然后利用这一特征来调节动态卷积权重,从而实现对低频成分的精确校正。此外,由于低频和高频分量的共定位位置高度相关,我们创建了一个掩码,从校正后的低频分量中提炼有用的知识,并将其整合到高频分量中,以支持精细细节的还原。广泛的实验结果表明,在两个多次曝光的数据集上,所提出的 IDNet 优于几种最先进的增强方法。
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引用次数: 0
How adversarial attacks can disrupt seemingly stable accurate classifiers 对抗性攻击如何破坏看似稳定准确的分类器
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-12 DOI: 10.1016/j.neunet.2024.106711

Adversarial attacks dramatically change the output of an otherwise accurate learning system using a seemingly inconsequential modification to a piece of input data. Paradoxically, empirical evidence indicates that even systems which are robust to large random perturbations of the input data remain susceptible to small, easily constructed, adversarial perturbations of their inputs. Here, we show that this may be seen as a fundamental feature of classifiers working with high dimensional input data. We introduce a simple generic and generalisable framework for which key behaviours observed in practical systems arise with high probability—notably the simultaneous susceptibility of the (otherwise accurate) model to easily constructed adversarial attacks, and robustness to random perturbations of the input data. We confirm that the same phenomena are directly observed in practical neural networks trained on standard image classification problems, where even large additive random noise fails to trigger the adversarial instability of the network. A surprising takeaway is that even small margins separating a classifier’s decision surface from training and testing data can hide adversarial susceptibility from being detected using randomly sampled perturbations. Counter-intuitively, using additive noise during training or testing is therefore inefficient for eradicating or detecting adversarial examples, and more demanding adversarial training is required.

对抗性攻击通过对输入数据进行看似无关紧要的修改,就能极大地改变原本精确的学习系统的输出结果。矛盾的是,经验证据表明,即使是对输入数据的大随机扰动具有鲁棒性的系统,仍然很容易受到对其输入的小的、容易构建的对抗性扰动的影响。在这里,我们要说明的是,这可以看作是处理高维输入数据的分类器的一个基本特征。我们引入了一个简单通用的框架,在这个框架下,实际系统中观察到的关键行为会以很高的概率出现--尤其是(原本精确的)模型同时易受容易构建的对抗性攻击的影响,以及对输入数据随机扰动的鲁棒性。我们证实,在针对标准图像分类问题训练的实用神经网络中也能直接观察到同样的现象,即使是大的加性随机噪声也无法引发网络的对抗性不稳定性。一个令人惊讶的启示是,即使分类器的决策面与训练和测试数据之间的余量很小,也能掩盖对抗性易感性,而不会被随机采样扰动检测到。因此,与直觉相反,在训练或测试过程中使用加性噪声对于消除或检测对抗性示例的效率很低,因此需要进行更严格的对抗性训练。
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引用次数: 0
Object and spatial discrimination makes weakly supervised local feature better 物体和空间分辨能力让弱监督局部特征更出色
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-12 DOI: 10.1016/j.neunet.2024.106697

Local feature extraction plays a crucial role in numerous critical visual tasks. However, there remains room for improvement in both descriptors and keypoints, particularly regarding the discriminative power of descriptors and the localization precision of keypoints. To address these challenges, this study introduces a novel local feature extraction pipeline named OSDFeat (Object and Spatial Discrimination Feature). OSDFeat employs a decoupling strategy, training descriptor and detection networks independently. Inspired by semantic correspondence, we propose an Object and Spatial Discrimination ResUNet (OSD-ResUNet). OSD-ResUNet captures features from the feature map that differentiate object appearance and spatial context, thus enhancing descriptor performance. To further improve the discriminative capability of descriptors, we propose a Discrimination Information Retained Normalization module (DIRN). DIRN complementarily integrates spatial-wise normalization and channel-wise normalization, yielding descriptors that are more distinguishable and informative. In the detection network, we propose a Cross Saliency Pooling module (CSP). CSP employs a cross-shaped kernel to aggregate long-range context in both vertical and horizontal dimensions. By enhancing the saliency of keypoints, CSP enables the detection network to effectively utilize descriptor information and achieve more precise localization of keypoints. Compared to the previous best local feature extraction methods, OSDFeat achieves Mean Matching Accuracy of 79.4% in local feature matching task, improving by 1.9% and achieving state-of-the-art results. Additionally, OSDFeat achieves competitive results in Visual Localization and 3D Reconstruction. The results of this study indicate that object and spatial discrimination can improve the accuracy and robustness of local feature, even in challenging environments. The code is available at https://github.com/pandaandyy/OSDFeat.

局部特征提取在许多关键的视觉任务中发挥着至关重要的作用。然而,描述符和关键点仍有改进的余地,尤其是描述符的判别能力和关键点的定位精度。为了应对这些挑战,本研究引入了一种名为 OSDFeat(物体和空间识别特征)的新型局部特征提取管道。OSDFeat 采用解耦策略,独立训练描述符和检测网络。受语义对应的启发,我们提出了一个对象和空间识别 ResUNet(OSD-ResUNet)。OSD-ResUNet 可从特征图中捕捉区分物体外观和空间环境的特征,从而提高描述符的性能。为了进一步提高描述符的鉴别能力,我们提出了一个鉴别信息保留归一化模块(DIRN)。DIRN 对空间归一化和信道归一化进行了互补整合,从而获得了更具区分度和信息量的描述符。在检测网络中,我们提出了交叉 Saliency Pooling 模块(CSP)。CSP 采用十字形内核,在纵向和横向两个维度上聚合长距离上下文。通过增强关键点的显著性,CSP 使检测网络能够有效利用描述符信息,实现更精确的关键点定位。与之前的最佳局部特征提取方法相比,OSDFeat 在局部特征匹配任务中的平均匹配精度达到了 79.4%,提高了 1.9%,达到了最先进的效果。此外,OSDFeat 在视觉定位和三维重建方面也取得了具有竞争力的结果。这项研究的结果表明,即使在具有挑战性的环境中,物体和空间分辨也能提高局部特征的准确性和鲁棒性。代码可在 https://github.com/pandaandyy/OSDFeat 上获取。
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引用次数: 0
Boosting cross-modal retrieval in remote sensing via a novel unified attention network 通过新型统一注意力网络促进遥感中的跨模态检索
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-11 DOI: 10.1016/j.neunet.2024.106718

With the rapid advent and abundance of remote sensing data in different modalities, cross-modal retrieval tasks have gained importance in the research community. Cross-modal retrieval belongs to the research paradigm in which the query is of one modality and the retrieved output is of the other modality. In this paper, the remote sensing (RS) data modalities considered are the earth observation optical data (aerial photos) and the corresponding hand-drawn sketches. The main challenge of the cross-modal retrieval research objective for optical remote sensing images and the corresponding sketches is the distribution gap between the shared embedding space of the modalities. Prior attempts to resolve this issue have not yielded satisfactory outcomes regarding accurately retrieving cross-modal sketch-image RS data. The state-of-the-art architectures used conventional convolutional architectures, which focused on local pixel-wise information about the modalities to be retrieved. This limits the interaction between the sketch texture and the corresponding image, making these models susceptible to overfitting datasets with particular scenarios. To circumvent this limitation, we suggest establishing multi-modal correspondence using a novel architecture of the combined self and cross-attention algorithms, SPCA-Net to minimize the modality gap by employing attention mechanisms for the query and other modalities. Efficient cross-modal retrieval is achieved through the suggested attention architecture, which empirically emphasizes the global information of the relevant query modality and bridges the domain gap through a unique pairwise cross-attention network. In addition to the novel architecture, this paper introduces a unique loss function, label-specific supervised contrastive loss, tailored to the intricacies of the task and to enhance the discriminative power of the learned embeddings. Extensive evaluations are conducted on two sketch-image remote sensing datasets, Earth-on-Canvas and RSketch. Under the same experimental conditions, the performance metrics of our proposed model beat the state-of-the-art architectures by significant margins of 16.7%, 18.9%, 33.7%, and 40.9% correspondingly.

随着不同模态遥感数据的迅速出现和丰富,跨模态检索任务在研究界变得越来越重要。跨模态检索属于一种研究范式,即一种模态的查询和另一种模态的检索输出。本文考虑的遥感(RS)数据模式是地球观测光学数据(航空照片)和相应的手绘草图。光学遥感图像和相应草图的跨模态检索研究目标面临的主要挑战是两种模态共享嵌入空间之间的分布差距。在准确检索跨模态草图-图像 RS 数据方面,先前为解决这一问题所做的尝试并未取得令人满意的结果。最先进的架构使用的是传统的卷积架构,这种架构侧重于要检索的模态的局部像素信息。这限制了草图纹理与相应图像之间的交互,使得这些模型容易过度拟合特定场景的数据集。为了规避这一限制,我们建议使用一种新颖的自关注和交叉关注算法组合架构 SPCA-Net 来建立多模态对应关系,通过对查询和其他模态采用关注机制来最小化模态差距。通过所建议的注意架构实现了高效的跨模态检索,该架构根据经验强调了相关查询模态的全局信息,并通过独特的成对交叉注意网络弥合了领域差距。除了新颖的架构外,本文还引入了一个独特的损失函数--特定标签的监督对比损失,以适应任务的复杂性并增强所学嵌入的判别能力。在两个草图图像遥感数据集(Earth-on-Canvas 和 RSketch)上进行了广泛的评估。在相同的实验条件下,我们提出的模型的性能指标分别以 16.7%、18.9%、33.7% 和 40.9% 的显著优势击败了最先进的架构。
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引用次数: 0
Localized estimation of event-related neural source activity from simultaneous MEG-EEG with a recurrent neural network 利用递归神经网络从同步 MEG-EEG 对事件相关神经源活动进行定位估计
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-11 DOI: 10.1016/j.neunet.2024.106731

Estimating intracranial current sources underlying the electromagnetic signals observed from extracranial sensors is a perennial challenge in non-invasive neuroimaging. Established solutions to this inverse problem treat time samples independently without considering the temporal dynamics of event-related brain processes.

This paper describes current source estimation from simultaneously recorded magneto- and electro-encephalography (MEEG) using a recurrent neural network (RNN) that learns sequential relationships from neural data. The RNN was trained in two phases: (1) pre-training and (2) transfer learning with L1 regularization applied to the source estimation layer. Performance of using scaled labels derived from MEEG, magnetoencephalography (MEG), or electroencephalography (EEG) were compared, as were results from volumetric source space with free dipole orientation and surface source space with fixed dipole orientation. Exact low-resolution electromagnetic tomography (eLORETA) and mixed-norm L1/L2 (MxNE) source estimation methods were also applied to these data for comparison with the RNN method.

The RNN approach outperformed other methods in terms of output signal-to-noise ratio, correlation and mean-squared error metrics evaluated against reference event-related field (ERF) and event-related potential (ERP) waveforms. Using MEEG labels with fixed-orientation surface sources produced the most consistent estimates.

To estimate sources of ERF and ERP waveforms, the RNN generates temporal dynamics within its internal computational units, driven by sequential structure in neural data used as training labels. It thus provides a data-driven model of computational transformations from psychophysiological events into corresponding event-related neural signals, which is unique among MEEG source reconstruction solutions.

估算从颅外传感器观测到的电磁信号背后的颅内电流源是非侵入式神经成像中的一项长期挑战。本文介绍了利用递归神经网络(RNN)从同时记录的脑磁图和脑电图(MEEG)中估算电流源,该网络可从神经数据中学习序列关系。RNN 的训练分为两个阶段:(1) 预训练;(2) 转移学习,并在信号源估计层应用 L1 正则化。比较了使用从 MEEG、脑磁图 (MEG) 或脑电图 (EEG) 导出的缩放标签的性能,以及具有自由偶极子方向的容积源空间和具有固定偶极子方向的表面源空间的结果。RNN 方法在输出信噪比、相关性和均方误差指标方面优于其他方法,这些指标是根据参考事件相关场(ERF)和事件相关电位(ERP)波形进行评估的。为了估算 ERF 和 ERP 波形的来源,RNN 在其内部计算单元中产生了时间动态,由用作训练标签的神经数据中的序列结构驱动。因此,它提供了一个数据驱动的计算转换模型,将心理生理学事件转换为相应的事件相关神经信号,这在 MEEG 信号源重建解决方案中是独一无二的。
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引用次数: 0
G2BFNN: Generalized geodesic basis function neural network G2BFNN:广义大地基函数神经网络
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-11 DOI: 10.1016/j.neunet.2024.106701

Real-world data is typically distributed on low-dimensional manifolds embedded in high-dimensional Euclidean spaces. Accurately extracting spatial distribution features on general manifolds that reflect the intrinsic characteristics of data is crucial for effective feature representation. Therefore, we propose a generalized geodesic basis function neural network (G2BFNN) architecture. The generalized geodesic basis functions (G2BF) are defined based on generalized geodesic distances. The generalized geodesic distance metric (G2DM) is obtained by learning the manifold structure. To implement this architecture, a specific G2BFNN, named discriminative local preserving projection-based G2BFNN (DLPP-G2BFNN) is proposed. DLPP-G2BFNN mainly contains two modules, namely the manifold structure learning module (MSLM) and the network mapping module (NMM). In the MSLM module, a supervised adjacency graph matrix is constructed to constrain the learning of the manifold structure. This enables the learned features in the embedding subspace to maintain the manifold structure while enhancing the discriminability. The features and G2DM learned in the MSLM are fed into the NMM. Through the G2BF in the NMM, the spatial distribution features on manifold are obtained. Finally, the output of the network is obtained through the fully connected layer. Compared with the local response neural network based on Euclidean distance, the proposed network can reveal more essential spatial structure characteristics of the data. Meanwhile, the proposed G2BFNN is a generalized network architecture that can be combined with any manifold learning method, showcasing high scalability. The experimental results demonstrate that the proposed DLPP-G2BFNN outperforms existing methods by utilizing fewer kernels while achieving higher recognition performance.

现实世界的数据通常分布在嵌入高维欧几里得空间的低维流形上。准确提取一般流形上反映数据内在特征的空间分布特征,对于有效的特征表示至关重要。因此,我们提出了广义大地基函数神经网络(G2BFNN)架构。广义大地基函数(G2BF)是基于广义大地测量距离定义的。广义大地测量距离度量(G2DM)是通过学习流形结构获得的。为实现这一架构,我们提出了一种特定的 G2BFN,名为基于判别局部保存投影的 G2BFN(DLPP-G2BFN)。DLPP-G2BFNN 主要包含两个模块,即流形结构学习模块(MSLM)和网络映射模块(NMM)。在 MSLM 模块中,构建了一个监督邻接图矩阵来约束流形结构的学习。这样,嵌入子空间中学习到的特征就能保持流形结构,同时提高可辨别性。在 MSLM 中学习到的特征和 G2DM 被输入到 NMM 中。通过 NMM 中的 G2BF,可以获得流形上的空间分布特征。最后,通过全连接层获得网络输出。与基于欧氏距离的局部响应神经网络相比,所提出的网络能揭示数据更本质的空间结构特征。同时,所提出的 G2BFNN 是一种通用的网络结构,可以与任何流形学习方法相结合,具有很高的可扩展性。实验结果表明,所提出的 DLPP-G2BFNN 利用更少的内核就能获得更高的识别性能,其性能优于现有方法。
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引用次数: 0
Bipartite secure synchronization criteria for coupled quaternion-valued neural networks with signed graph 带符号图的耦合四元值神经网络的两方安全同步标准
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-11 DOI: 10.1016/j.neunet.2024.106717

This study explores the bipartite secure synchronization problem of coupled quaternion-valued neural networks (QVNNs), in which variable sampled communications and random deception attacks are considered. Firstly, by employing the signed graph theory, the mathematical model of coupled QVNNs with structurally-balanced cooperative–competitive interactions is established. Secondly, by adopting non-decomposition method and constructing a suitable unitary Lyapunov functional, the bipartite secure synchronization (BSS) criteria for coupled QVNNs are obtained in the form of quaternion-valued LMIs. It is essential to mention that the structurally-balanced topology is relatively strong, hence, the coupled QVNNs with structurally-unbalanced graph are further studied. The structurally-unbalanced graph is treated as an interruption of the structurally-balanced graph, the bipartite secure quasi-synchronization (BSQS) criteria for coupled QVNNs with structurally-unbalanced graph are derived. Finally, two simulations are given to illustrate the feasibility of the suggested BSS and BSQS approaches.

本研究探讨了耦合四元值神经网络(QVNN)的双向安全同步问题,其中考虑了变量采样通信和随机欺骗攻击。首先,利用符号图理论,建立了具有结构平衡的合作-竞争交互的耦合 QVNN 的数学模型。其次,通过采用非分解方法和构造合适的单元 Lyapunov 函数,以四元数值 LMI 的形式得到了耦合 QVNN 的双向安全同步(BSS)准则。值得一提的是,结构平衡拓扑相对较强,因此对结构不平衡图的耦合 QVNNs 进行了进一步研究。将结构不平衡图视为结构平衡图的中断,推导出具有结构不平衡图的耦合 QVNN 的双向安全准同步(BSQS)准则。最后,给出了两个模拟,以说明所建议的 BSS 和 BSQS 方法的可行性。
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引用次数: 0
Deep brain stimulation and lag synchronization in a memristive two-neuron network 深部脑刺激与记忆性双神经元网络的滞后同步
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-10 DOI: 10.1016/j.neunet.2024.106728

In the pursuit of potential treatments for neurological disorders and the alleviation of patient suffering, deep brain stimulation (DBS) has been utilized to intervene or investigate pathological neural activities. To explore the exact mechanism of how DBS works, a memristive two-neuron network considering DBS is newly proposed in this work. This network is implemented by coupling two-dimensional Morris–Lecar neuron models and using a memristor synaptic synapse to mimic synaptic plasticity. The complex bursting activities and dynamical effects are revealed numerically through dynamical analysis. By examining the synchronous behavior, the desynchronization mechanism of the memristor synapse is uncovered. The study demonstrates that synaptic connections lead to the appearance of time-lagged or asynchrony in completely synchronized firing activities. Additionally, the memristive two-neuron network is implemented in hardware based on FPGA, and experimental results confirm the abundant neuronal electrical activities and chaotic dynamical behaviors. This work offers insights into the potential mechanisms of DBS intervention in neural networks.

为了寻找治疗神经系统疾病的潜在方法并减轻病人的痛苦,人们利用脑深部刺激(DBS)来干预或研究病理神经活动。为了探索 DBS 的确切作用机制,本研究提出了一种考虑到 DBS 的记忆性双神经元网络。该网络是通过耦合二维莫里斯-勒卡神经元模型并使用忆阻器突触来模拟突触可塑性而实现的。通过动态分析,复杂的突发性活动和动态效应在数值上得到了揭示。通过研究同步行为,揭示了忆阻器突触的去同步机制。研究表明,突触连接会导致完全同步的发射活动出现时滞或不同步。此外,基于 FPGA 的硬件实现了忆阻器双神经元网络,实验结果证实了丰富的神经元电活动和混沌动力学行为。这项工作为 DBS 干预神经网络的潜在机制提供了启示。
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引用次数: 0
Moving sampling physics-informed neural networks induced by moving mesh PDE 移动网格 PDE 诱导的移动采样物理信息神经网络
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-09-10 DOI: 10.1016/j.neunet.2024.106706

In this work, we propose an end-to-end adaptive sampling framework based on deep neural networks and the moving mesh method (MMPDE-Net), which can adaptively generate new sampling points by solving the moving mesh PDE. This model focuses on improving the quality of sampling points generation. Moreover, we develop an iterative algorithm based on MMPDE-Net, which makes sampling points distribute more precisely and controllably. Since MMPDE-Net is independent of the deep learning solver, we combine it with physics-informed neural networks (PINN) to propose moving sampling PINN (MS-PINN) and show the error estimate of our method under some assumptions. Finally, we demonstrate the performance improvement of MS-PINN compared to PINN through numerical experiments of four typical examples, which numerically verify the effectiveness of our method.

在这项工作中,我们提出了一种基于深度神经网络和移动网格法(MMPDE-Net)的端到端自适应采样框架,它可以通过求解移动网格 PDE 自适应地生成新的采样点。该模型的重点是提高采样点生成的质量。此外,我们还开发了一种基于 MMPDE-Net 的迭代算法,使采样点的分布更精确、更可控。由于 MMPDE-Net 与深度学习求解器无关,我们将其与物理信息神经网络(PINN)相结合,提出了移动采样 PINN(MS-PINN),并展示了我们的方法在一些假设条件下的误差估计。最后,我们通过四个典型例子的数值实验证明了 MS-PINN 相较于 PINN 的性能提升,从数值上验证了我们方法的有效性。
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Neural Networks
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