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A novel approach for ASD recognition based on graph attention networks 基于图注意力网络的新型 ASD 识别方法
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-04-10 DOI: 10.3389/fncom.2024.1388083
Canhua Wang, Zhiyong Xiao, Yilu Xu, Qi Zhang, Jingfang Chen
Early detection and diagnosis of Autism Spectrum Disorder (ASD) can significantly improve the quality of life for affected individuals. Identifying ASD based on brain functional connectivity (FC) poses a challenge due to the high heterogeneity of subjects’ fMRI data in different sites. Meanwhile, deep learning algorithms show efficacy in ASD identification but lack interpretability. In this paper, a novel approach for ASD recognition is proposed based on graph attention networks. Specifically, we treat the region of interest (ROI) of the subjects as node, conduct wavelet decomposition of the BOLD signal in each ROI, extract wavelet features, and utilize them along with the mean and variance of the BOLD signal as node features, and the optimized FC matrix as the adjacency matrix, respectively. We then employ the self-attention mechanism to capture long-range dependencies among features. To enhance interpretability, the node-selection pooling layers are designed to determine the importance of ROI for prediction. The proposed framework are applied to fMRI data of children (younger than 12 years old) from the Autism Brain Imaging Data Exchange datasets. Promising results demonstrate superior performance compared to recent similar studies. The obtained ROI detection results exhibit high correspondence with previous studies and offer good interpretability.
自闭症谱系障碍(ASD)的早期检测和诊断可大大改善患者的生活质量。由于受试者不同部位的 fMRI 数据具有高度异质性,因此基于大脑功能连接(FC)来识别 ASD 是一项挑战。与此同时,深度学习算法在 ASD 识别中显示出功效,但缺乏可解释性。本文提出了一种基于图注意力网络的新型 ASD 识别方法。具体来说,我们将受试者的兴趣区域(ROI)作为节点,对每个ROI中的BOLD信号进行小波分解,提取小波特征,并将其与BOLD信号的均值和方差分别作为节点特征和优化后的FC矩阵作为邻接矩阵。然后,我们利用自注意机制来捕捉特征之间的长程依赖关系。为了增强可解释性,我们设计了节点选择池层,以确定 ROI 对预测的重要性。我们将提出的框架应用于自闭症脑成像数据交换数据集中的儿童(12 岁以下)fMRI 数据。与最近的类似研究相比,有希望的结果显示出更优越的性能。所获得的 ROI 检测结果与之前的研究具有很高的对应性,并提供了良好的可解释性。
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引用次数: 0
Understanding of facial features in face perception: insights from deep convolutional neural networks 理解人脸感知中的面部特征:深度卷积神经网络的启示
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-04-09 DOI: 10.3389/fncom.2024.1209082
Qianqian Zhang, Yueyi Zhang, Ning Liu, Xiaoyan Sun
IntroductionFace recognition has been a longstanding subject of interest in the fields of cognitive neuroscience and computer vision research. One key focus has been to understand the relative importance of different facial features in identifying individuals. Previous studies in humans have demonstrated the crucial role of eyebrows in face recognition, potentially even surpassing the importance of the eyes. However, eyebrows are not only vital for face recognition but also play a significant role in recognizing facial expressions and intentions, which might occur simultaneously and influence the face recognition process.MethodsTo address these challenges, our current study aimed to leverage the power of deep convolutional neural networks (DCNNs), an artificial face recognition system, which can be specifically tailored for face recognition tasks. In this study, we investigated the relative importance of various facial features in face recognition by selectively blocking feature information from the input to the DCNN. Additionally, we conducted experiments in which we systematically blurred the information related to eyebrows to varying degrees.ResultsOur findings aligned with previous human research, revealing that eyebrows are the most critical feature for face recognition, followed by eyes, mouth, and nose, in that order. The results demonstrated that the presence of eyebrows was more crucial than their specific high-frequency details, such as edges and textures, compared to other facial features, where the details also played a significant role. Furthermore, our results revealed that, unlike other facial features, the activation map indicated that the significance of eyebrows areas could not be readily adjusted to compensate for the absence of eyebrow information. This finding explains why masking eyebrows led to more significant deficits in face recognition performance. Additionally, we observed a synergistic relationship among facial features, providing evidence for holistic processing of faces within the DCNN.DiscussionOverall, our study sheds light on the underlying mechanisms of face recognition and underscores the potential of using DCNNs as valuable tools for further exploration in this field.
导言:人脸识别是认知神经科学和计算机视觉研究领域长期关注的课题。其中一个重点是了解不同面部特征在识别个人时的相对重要性。以前对人类的研究表明,眉毛在人脸识别中起着至关重要的作用,其重要性甚至可能超过眼睛。然而,眉毛不仅对人脸识别至关重要,而且在识别面部表情和意图方面也起着重要作用,而面部表情和意图可能同时出现并影响人脸识别过程。在这项研究中,我们通过选择性地屏蔽 DCNN 输入中的特征信息,研究了各种面部特征在人脸识别中的相对重要性。结果我们的研究结果与之前的人类研究结果一致,眉毛是人脸识别中最关键的特征,其次依次是眼睛、嘴巴和鼻子。结果表明,与其他面部特征相比,眉毛的存在比其特定的高频细节(如边缘和纹理)更为关键,而在其他面部特征中,细节也发挥着重要作用。此外,我们的结果还显示,与其他面部特征不同,激活图显示眉毛区域的重要性不能轻易调整以弥补眉毛信息的缺失。这一发现解释了为什么遮蔽眉毛会导致更严重的人脸识别能力缺陷。总之,我们的研究揭示了人脸识别的内在机制,并强调了使用 DCNN 作为该领域进一步探索的宝贵工具的潜力。
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引用次数: 0
Brain tumor segmentation using neuro-technology enabled intelligence-cascaded U-Net model 利用神经技术的智能级联 U-Net 模型进行脑肿瘤分割
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-04-03 DOI: 10.3389/fncom.2024.1391025
Haewon Byeon, Mohannad Al-Kubaisi, Ashit Kumar Dutta, Faisal Alghayadh, Mukesh Soni, Manisha Bhende, Venkata Chunduri, K. Suresh Babu, Rubal Jeet
According to experts in neurology, brain tumours pose a serious risk to human health. The clinical identification and treatment of brain tumours rely heavily on accurate segmentation. The varied sizes, forms, and locations of brain tumours make accurate automated segmentation a formidable obstacle in the field of neuroscience. U-Net, with its computational intelligence and concise design, has lately been the go-to model for fixing medical picture segmentation issues. Problems with restricted local receptive fields, lost spatial information, and inadequate contextual information are still plaguing artificial intelligence. A convolutional neural network (CNN) and a Mel-spectrogram are the basis of this cough recognition technique. First, we combine the voice in a variety of intricate settings and improve the audio data. After that, we preprocess the data to make sure its length is consistent and create a Mel-spectrogram out of it. A novel model for brain tumor segmentation (BTS), Intelligence Cascade U-Net (ICU-Net), is proposed to address these issues. It is built on dynamic convolution and uses a non-local attention mechanism. In order to reconstruct more detailed spatial information on brain tumours, the principal design is a two-stage cascade of 3DU-Net. The paper’s objective is to identify the best learnable parameters that will maximize the likelihood of the data. After the network’s ability to gather long-distance dependencies for AI, Expectation–Maximization is applied to the cascade network’s lateral connections, enabling it to leverage contextual data more effectively. Lastly, to enhance the network’s ability to capture local characteristics, dynamic convolutions with local adaptive capabilities are used in place of the cascade network’s standard convolutions. We compared our results to those of other typical methods and ran extensive testing utilising the publicly available BraTS 2019/2020 datasets. The suggested method performs well on tasks involving BTS, according to the experimental data. The Dice scores for tumor core (TC), complete tumor, and enhanced tumor segmentation BraTS 2019/2020 validation sets are 0.897/0.903, 0.826/0.828, and 0.781/0.786, respectively, indicating high performance in BTS.
神经学专家指出,脑肿瘤对人类健康构成严重威胁。脑肿瘤的临床识别和治疗在很大程度上依赖于精确的分割。脑肿瘤的大小、形态和位置各不相同,因此准确的自动分割是神经科学领域的一个巨大障碍。U-Net 凭借其计算智能和简洁的设计,近来已成为解决医学图像分割问题的首选模型。局部感受野受限、空间信息丢失和上下文信息不足等问题仍然困扰着人工智能。卷积神经网络(CNN)和梅尔谱图是这一咳嗽识别技术的基础。首先,我们在各种复杂的设置中组合语音,并改进音频数据。然后,我们对数据进行预处理,确保其长度一致,并从中创建一个梅尔频谱图。为解决这些问题,我们提出了一种用于脑肿瘤分割(BTS)的新型模型--智能级联 U 网(ICU-Net)。它建立在动态卷积的基础上,并使用非局部关注机制。为了重建更详细的脑肿瘤空间信息,主要设计了一个两级级联的 3DU-Net 。本文的目标是找出最佳可学习参数,使数据的可能性最大化。在网络具备收集人工智能远距离依赖关系的能力后,期望最大化被应用于级联网络的横向联系,使其能够更有效地利用上下文数据。最后,为了增强网络捕捉局部特征的能力,我们使用了具有局部自适应能力的动态卷积来替代级联网络的标准卷积。我们将结果与其他典型方法进行了比较,并利用公开的 BraTS 2019/2020 数据集进行了广泛测试。根据实验数据,建议的方法在涉及 BTS 的任务中表现良好。肿瘤核心(TC)、完整肿瘤和增强肿瘤分割 BraTS 2019/2020 验证集的 Dice 分数分别为 0.897/0.903、0.826/0.828 和 0.781/0.786,表明该方法在 BTS 中表现优异。
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引用次数: 0
The emergence of enhanced intelligence in a brain-inspired cognitive architecture 大脑启发认知架构中增强智能的出现
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-04-02 DOI: 10.3389/fncom.2024.1367712
Howard Schneider
The Causal Cognitive Architecture is a brain-inspired cognitive architecture developed from the hypothesis that the navigation circuits in the ancestors of mammals duplicated to eventually form the neocortex. Thus, millions of neocortical minicolumns are functionally modeled in the architecture as millions of “navigation maps.” An investigation of a cognitive architecture based on these navigation maps has previously shown that modest changes in the architecture allow the ready emergence of human cognitive abilities such as grounded, full causal decision-making, full analogical reasoning, and near-full compositional language abilities. In this study, additional biologically plausible modest changes to the architecture are considered and show the emergence of super-human planning abilities. The architecture should be considered as a viable alternative pathway toward the development of more advanced artificial intelligence, as well as to give insight into the emergence of natural human intelligence.
因果认知架构是一种受大脑启发的认知架构,它是根据哺乳动物祖先的导航回路复制最终形成新皮层的假说发展而来的。因此,在该架构中,数百万个新皮层小脑柱在功能上被模拟为数百万个 "导航图"。对基于这些导航图的认知架构的研究表明,架构的适度改变可使人类的认知能力随时出现,例如有根据的、完整的因果决策、完整的类比推理和近乎完整的组合语言能力。在本研究中,我们考虑了对该架构进行更多生物学上合理的适度改变,并展示了超人类规划能力的出现。该架构应被视为开发更先进人工智能的另一条可行途径,同时也能为人类自然智能的出现提供启示。
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引用次数: 0
Identification of Smith–Magenis syndrome cases through an experimental evaluation of machine learning methods 通过对机器学习方法的实验评估识别史密斯-马盖尼综合征病例
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-03-22 DOI: 10.3389/fncom.2024.1357607
Raúl Fernández-Ruiz, Esther Núñez-Vidal, Irene Hidalgo-delaguía, Elena Garayzábal-Heinze, Agustín Álvarez-Marquina, Rafael Martínez-Olalla, Daniel Palacios-Alonso
This research work introduces a novel, nonintrusive method for the automatic identification of Smith–Magenis syndrome, traditionally studied through genetic markers. The method utilizes cepstral peak prominence and various machine learning techniques, relying on a single metric computed by the research group. The performance of these techniques is evaluated across two case studies, each employing a unique data preprocessing approach. A proprietary data “windowing” technique is also developed to derive a more representative dataset. To address class imbalance in the dataset, the synthetic minority oversampling technique (SMOTE) is applied for data augmentation. The application of these preprocessing techniques has yielded promising results from a limited initial dataset. The study concludes that the k-nearest neighbors and linear discriminant analysis perform best, and that cepstral peak prominence is a promising measure for identifying Smith–Magenis syndrome.
这项研究工作介绍了一种新颖的非侵入式方法,用于自动识别传统上通过遗传标记研究的史密斯-马盖尼综合征。该方法利用了倒频谱峰突出和各种机器学习技术,并依赖于研究小组计算的单一指标。在两个案例研究中对这些技术的性能进行了评估,每个案例研究都采用了独特的数据预处理方法。此外,还开发了一种专有的数据 "窗口 "技术,以获得更具代表性的数据集。为解决数据集中的类不平衡问题,采用了合成少数群体超采样技术(SMOTE)进行数据扩增。这些预处理技术的应用从有限的初始数据集中获得了可喜的结果。研究得出的结论是,k-近邻和线性判别分析的效果最好,而倒频谱峰突出度是识别史密斯-马盖尼综合征的一种有前途的测量方法。
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引用次数: 0
Artificial cognition vs. artificial intelligence for next-generation autonomous robotic agents 下一代自主机器人代理的人工认知与人工智能
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-03-22 DOI: 10.3389/fncom.2024.1349408
Giulio Sandini, Alessandra Sciutti, Pietro Morasso
The trend in industrial/service robotics is to develop robots that can cooperate with people, interacting with them in an autonomous, safe and purposive way. These are the fundamental elements characterizing the fourth and the fifth industrial revolutions (4IR, 5IR): the crucial innovation is the adoption of intelligent technologies that can allow the development of cyber-physical systems, similar if not superior to humans. The common wisdom is that intelligence might be provided by AI (Artificial Intelligence), a claim that is supported more by media coverage and commercial interests than by solid scientific evidence. AI is currently conceived in a quite broad sense, encompassing LLMs and a lot of other things, without any unifying principle, but self-motivating for the success in various areas. The current view of AI robotics mostly follows a purely disembodied approach that is consistent with the old-fashioned, Cartesian mind-body dualism, reflected in the software-hardware distinction inherent to the von Neumann computing architecture. The working hypothesis of this position paper is that the road to the next generation of autonomous robotic agents with cognitive capabilities requires a fully brain-inspired, embodied cognitive approach that avoids the trap of mind-body dualism and aims at the full integration of Bodyware and Cogniware. We name this approach Artificial Cognition (ACo) and ground it in Cognitive Neuroscience. It is specifically focused on proactive knowledge acquisition based on bidirectional human-robot interaction: the practical advantage is to enhance generalization and explainability. Moreover, we believe that a brain-inspired network of interactions is necessary for allowing humans to cooperate with artificial cognitive agents, building a growing level of personal trust and reciprocal accountability: this is clearly missing, although actively sought, in current AI. The ACo approach is a work in progress that can take advantage of a number of research threads, some of them antecedent the early attempts to define AI concepts and methods. In the rest of the paper we will consider some of the building blocks that need to be re-visited in a unitary framework: the principles of developmental robotics, the methods of action representation with prospection capabilities, and the crucial role of social interaction.
工业/服务机器人技术的发展趋势是开发能够与人合作的机器人,以自主、安全和有目的的方式与人互动。这些是第四次和第五次工业革命(4IR、5IR)的基本特征:关键的创新是采用智能技术,从而开发出类似于甚至优于人类的网络物理系统。人们普遍认为,智能可能由人工智能(AI)提供,但这种说法更多的是得到媒体报道和商业利益的支持,而非可靠的科学证据。目前,人工智能的概念相当宽泛,包括 LLM 和许多其他东西,没有任何统一的原则,但在各个领域的成功都是自我激励的结果。目前对人工智能机器人的看法大多遵循一种纯粹的非实体方法,这种方法与老式的笛卡尔身心二元论一致,反映在冯-诺依曼计算架构固有的软件-硬件区分上。本立场文件的工作假设是,通往具有认知能力的下一代自主机器人代理之路,需要一种完全由大脑启发的、具身认知方法,这种方法可避免身心二元论的陷阱,并旨在将 "身体软件"(Bodyware)和 "认知软件"(Cogniware)完全融合在一起。我们将这种方法命名为人工认知(ACo),并以认知神经科学为基础。它特别关注基于人与机器人双向互动的主动知识获取:其实际优势在于提高通用性和可解释性。此外,我们认为,大脑启发的互动网络对于人类与人工认知代理的合作、建立日益增长的个人信任和互惠责任是必要的:这一点在当前的人工智能中显然是缺失的,尽管我们正在积极寻求。ACo 方法是一项正在进行中的工作,它可以利用许多研究线索,其中一些是早期尝试定义人工智能概念和方法的先驱。在本文的其余部分,我们将考虑一些需要在统一框架中重新审视的组成部分:发展型机器人学原理、具有前瞻能力的行动表示方法以及社会互动的关键作用。
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引用次数: 0
Novel deep learning framework for detection of epileptic seizures using EEG signals 利用脑电信号检测癫痫发作的新型深度学习框架
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-03-21 DOI: 10.3389/fncom.2024.1340251
Sayani Mallick, Veeky Baths
IntroductionEpilepsy is a chronic neurological disorder characterized by abnormal electrical activity in the brain, often leading to recurrent seizures. With 50 million people worldwide affected by epilepsy, there is a pressing need for efficient and accurate methods to detect and diagnose seizures. Electroencephalogram (EEG) signals have emerged as a valuable tool in detecting epilepsy and other neurological disorders. Traditionally, the process of analyzing EEG signals for seizure detection has relied on manual inspection by experts, which is time-consuming, labor-intensive, and susceptible to human error. To address these limitations, researchers have turned to machine learning and deep learning techniques to automate the seizure detection process.MethodsIn this work, we propose a novel method for epileptic seizure detection, leveraging the power of 1-D Convolutional layers in combination with Bidirectional Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) and Average pooling Layer as a single unit. This unit is repeatedly used in the proposed model to extract the features. The features are then passed to the Dense layers to predict the class of the EEG waveform. The performance of the proposed model is verified on the Bonn dataset. To assess the robustness and generalizability of our proposed architecture, we employ five-fold cross-validation. By dividing the dataset into five subsets and iteratively training and testing the model on different combinations of these subsets, we obtain robust performance measures, including accuracy, sensitivity, and specificity.ResultsOur proposed model achieves an accuracy of 99–100% for binary classifications into seizure and normal waveforms, 97.2%–99.2% accuracy for classifications into normal-ictal-seizure waveforms, 96.2%–98.4% accuracy for four class classification and accuracy of 95.81%–98% for five class classification.DiscussionOur proposed models have achieved significant improvements in the performance metrics for the binary classifications and multiclass classifications. We demonstrate the effectiveness of the proposed architecture in accurately detecting epileptic seizures from EEG signals by using EEG signals of varying lengths. The results indicate its potential as a reliable and efficient tool for automated seizure detection, paving the way for improved diagnosis and management of epilepsy.
导言癫痫是一种慢性神经系统疾病,其特点是大脑电活动异常,经常导致癫痫反复发作。全球有 5000 万癫痫患者,因此迫切需要高效、准确的方法来检测和诊断癫痫发作。脑电图(EEG)信号已成为检测癫痫和其他神经系统疾病的重要工具。传统上,为检测癫痫发作而分析脑电图信号的过程依赖于专家的人工检查,这种方法耗时、耗力,而且容易出现人为错误。为了解决这些局限性,研究人员转向了机器学习和深度学习技术,以实现癫痫发作检测过程的自动化。方法在这项工作中,我们提出了一种用于癫痫发作检测的新方法,充分利用了一维卷积层的力量,将双向长短期记忆(LSTM)和门控循环单元(GRU)以及平均池化层组合为一个单元。该单元在拟议模型中被反复用于提取特征。然后将这些特征传递给密集层,以预测脑电图波形的类别。拟议模型的性能在波恩数据集上得到了验证。为了评估我们提出的架构的鲁棒性和通用性,我们采用了五倍交叉验证。通过将数据集分为五个子集,并在这些子集的不同组合上反复训练和测试模型,我们获得了稳健的性能指标,包括准确性、灵敏度和特异性。讨论我们提出的模型在二元分类和多类分类的性能指标方面取得了显著改善。我们利用不同长度的脑电信号证明了所提出的架构在从脑电信号中准确检测癫痫发作方面的有效性。结果表明,它有潜力成为自动检测癫痫发作的可靠而高效的工具,为改善癫痫的诊断和管理铺平道路。
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引用次数: 0
A novel associative memory model based on semi-tensor product (STP) 基于半张量积(STP)的新型关联记忆模型
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-03-19 DOI: 10.3389/fncom.2024.1384924
Yanfang Hou, Hui Tian, Chengmao Wang
A good intelligent learning model is the key to complete recognition of scene information and accurate recognition of specific targets in intelligent unmanned system. This study proposes a new associative memory model based on the semi-tensor product (STP) of matrices, to address the problems of information storage capacity and association. First, some preliminaries are introduced to facilitate modeling, and the problem of information storage capacity in the application of discrete Hopfield neural network (DHNN) to associative memory is pointed out. Second, learning modes are equivalently converted into their algebraic forms by using STP. A memory matrix is constructed to accurately remember these learning modes. Furthermore, an algorithm for updating the memory matrix is developed to improve the association ability of the model. And another algorithm is provided to show how our model learns and associates. Finally, some examples are given to demonstrate the effectiveness and advantages of our results. Compared with mainstream DHNNs, our model can remember learning modes more accurately with fewer nodes.
一个好的智能学习模型是智能无人系统完整识别场景信息和准确识别特定目标的关键。本研究提出了一种基于矩阵半张量积(STP)的新型关联记忆模型,以解决信息存储容量和关联问题。首先,为了便于建模,介绍了一些前言,并指出了离散霍普菲尔德神经网络(DHNN)应用于联想记忆中的信息存储容量问题。其次,利用 STP 将学习模式等价转换为代数形式。构建了一个记忆矩阵来精确记忆这些学习模式。此外,还开发了一种更新记忆矩阵的算法,以提高模型的联想能力。此外,还提供了另一种算法来展示我们的模型是如何学习和关联的。最后,我们给出了一些例子来证明我们成果的有效性和优势。与主流的 DHNN 相比,我们的模型可以用更少的节点更准确地记忆学习模式。
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引用次数: 0
Editorial: Advancing our understanding of the impact of dynamics at different spatiotemporal scales and structure on brain synchronous activity, volume II. 社论:推进我们对不同时空尺度和结构的动态对大脑同步活动的影响的理解,第 II 卷。
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-03-05 eCollection Date: 2024-01-01 DOI: 10.3389/fncom.2024.1386652
Thanos Manos, Chris G Antonopoulos, Antonio M Batista, Kelly C Iarosz
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引用次数: 0
Topological features of spike trains in recurrent spiking neural networks that are trained to generate spatiotemporal patterns 训练生成时空模式的递归尖峰神经网络中尖峰列车的拓扑特征
IF 3.2 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-02-23 DOI: 10.3389/fncom.2024.1363514
Oleg Maslennikov, Matjaž Perc, Vladimir Nekorkin
In this study, we focus on training recurrent spiking neural networks to generate spatiotemporal patterns in the form of closed two-dimensional trajectories. Spike trains in the trained networks are examined in terms of their dissimilarity using the Victor–Purpura distance. We apply algebraic topology methods to the matrices obtained by rank-ordering the entries of the distance matrices, specifically calculating the persistence barcodes and Betti curves. By comparing the features of different types of output patterns, we uncover the complex relations between low-dimensional target signals and the underlying multidimensional spike trains.
在这项研究中,我们重点训练递归尖峰神经网络,以生成封闭二维轨迹形式的时空模式。我们使用维克多-普普拉距离(Victor-Purpura distance)来检验训练网络中的尖峰列车的不相似性。我们将代数拓扑方法应用于通过对距离矩阵的条目进行排序而得到的矩阵,特别是计算持久性条形码和贝蒂曲线。通过比较不同类型输出模式的特征,我们揭示了低维目标信号与底层多维尖峰列车之间的复杂关系。
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引用次数: 0
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Frontiers in Computational Neuroscience
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