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Estimating global phase synchronization by quantifying multivariate mutual information and detecting network structure. 通过量化多元互信息和检测网络结构估计全局相位同步。
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-11-28 DOI: 10.1016/j.neunet.2024.106984
Zhaohui Li, Yanyu Xing, Xinyan Wang, Yunlu Cai, Xiaoxia Zhou, Xi Zhang

In neuroscience, phase synchronization (PS) is a crucial mechanism that facilitates information processing and transmission between different brain regions. Specifically, global phase synchronization (GPS) characterizes the degree of PS among multivariate neural signals. In recent years, several GPS methods have been proposed. However, they primarily focus on the collective synchronization behavior of multivariate neural signals, while neglecting the structural difference between oscillator networks. Therefore, in this paper, we introduce a method named total correlation-based synchronization (TCS) to quantify GPS intensity by examining network organization. To evaluate the performance of TCS, we conducted simulations using the Rössler model and compared it to three existing methods: circular omega complexity, hyper-torus synchrony, and symbolic phase difference and permutation entropy. The results indicate that TCS outperforms the other methods at distinguishing the GPS intensity between networks with similar structures. And it offers insight into the separation and integration behavior of signals during synchronization. Furthermore, to validate this method with experimental data, TCS was applied to analyze the GPS variation of multichannel stereo-electroencephalography (SEEG) signals recorded from onset zones of patients with temporal lobe epilepsy. It was observed that the termination of seizures was associated with the increased GPS and the integration of brain regions. Taken together, TCS offers an alternative way to measure GPS of multivariate signals, which may shed new lights on the mechanism of brain functions and neurological disorders, such as learning, memory, epilepsy, and Alzheimer's disease.

在神经科学中,相同步(phase synchronization, PS)是促进大脑不同区域间信息处理和传递的重要机制。具体来说,全球相位同步(global phase synchronization, GPS)表征了多变量神经信号的PS程度。近年来,人们提出了几种GPS定位方法。然而,他们主要关注多元神经信号的集体同步行为,而忽略了振荡器网络之间的结构差异。因此,本文提出了一种基于全相关的同步(TCS)方法,通过考察网络组织来量化GPS强度。为了评估TCS的性能,我们使用Rössler模型进行了仿真,并将其与三种现有方法进行了比较:圆omega复杂度、超环面同步、符号相位差和排列熵。结果表明,TCS在识别结构相似的网络之间的GPS强度方面优于其他方法。它提供了洞察信号在同步过程中的分离和集成行为。此外,为了用实验数据验证该方法,应用TCS分析了颞叶癫痫患者起病区多通道立体脑电图(SEEG)信号的GPS变化。观察到癫痫发作的终止与GPS的增加和大脑区域的整合有关。综上所述,TCS为测量多变量信号的GPS提供了另一种方法,这可能为大脑功能和神经系统疾病(如学习、记忆、癫痫和阿尔茨海默病)的机制提供新的线索。
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引用次数: 0
TENet: Targetness entanglement incorporating with multi-scale pooling and mutually-guided fusion for RGB-E object tracking. 宗旨:结合多尺度池化和相互引导融合的目标纠缠,用于RGB-E目标跟踪。
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-11-27 DOI: 10.1016/j.neunet.2024.106948
Pengcheng Shao, Tianyang Xu, Zhangyong Tang, Linze Li, Xiao-Jun Wu, Josef Kittler

There is currently strong interest in improving visual object tracking by augmenting the RGB modality with the output of a visual event camera that is particularly informative about the scene motion. However, existing approaches perform event feature extraction for RGB-E tracking using traditional appearance models, which have been optimised for RGB only tracking, without adapting it for the intrinsic characteristics of the event data. To address this problem, we propose an Event backbone (Pooler), designed to obtain a high-quality feature representation that is cognisant of the innate characteristics of the event data, namely its sparsity. In particular, Multi-Scale Pooling is introduced to capture all the motion feature trends within event data through the utilisation of diverse pooling kernel sizes. The association between the derived RGB and event representations is established by an innovative module performing adaptive Mutually Guided Fusion (MGF). Extensive experimental results show that our method significantly outperforms state-of-the-art trackers on two widely used RGB-E tracking datasets, including VisEvent and COESOT, where the precision and success rates on COESOT are improved by 4.9% and 5.2%, respectively. Our code will be available at https://github.com/SSSpc333/TENet.

目前有强烈的兴趣通过增加RGB模态与视觉事件相机的输出来改善视觉对象跟踪,特别是关于场景运动的信息。然而,现有的方法使用传统的外观模型对RGB- e跟踪进行事件特征提取,这些模型仅针对RGB跟踪进行了优化,而没有根据事件数据的内在特征进行调整。为了解决这个问题,我们提出了一个事件主干(Pooler),旨在获得高质量的特征表示,该特征表示认识到事件数据的固有特征,即其稀疏性。特别地,引入了多尺度池化,通过利用不同池化内核大小来捕获事件数据中的所有运动特征趋势。衍生的RGB和事件表示之间的关联是通过执行自适应相互引导融合(MGF)的创新模块建立的。大量的实验结果表明,我们的方法在两种广泛使用的RGB-E跟踪数据集(包括VisEvent和COESOT)上显著优于最先进的跟踪器,其中COESOT的精度和成功率分别提高了4.9%和5.2%。我们的代码可以在https://github.com/SSSpc333/TENet上找到。
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引用次数: 0
Deep clustering analysis via variational autoencoder with Gamma mixture latent embeddings. 基于混合隐嵌入的变分自编码器深度聚类分析。
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-12-04 DOI: 10.1016/j.neunet.2024.106979
Jiaxun Guo, Wentao Fan, Manar Amayri, Nizar Bouguila

This article proposes a novel deep clustering model based on the variational autoencoder (VAE), named GamMM-VAE, which can learn latent representations of training data for clustering in an unsupervised manner. Most existing VAE-based deep clustering methods use the Gaussian mixture model (GMM) as a prior on the latent space. We employ a more flexible asymmetric Gamma mixture model to achieve higher quality embeddings of the data latent space. Second, since the Gamma is defined for strictly positive variables, in order to exploit the reparameterization trick of VAE, we propose a transformation method from Gaussian distribution to Gamma distribution. This method can also be considered a Gamma distribution reparameterization trick, allows gradients to be backpropagated through the sampling process in the VAE. Finally, we derive the evidence lower bound (ELBO) based on the Gamma mixture model in an effective way for the stochastic gradient variational Bayesian (SGVB) estimator to optimize the proposed model. ELBO, a variational inference objective, ensures the maximization of the approximation of the posterior distribution, while SGVB is a method used to perform efficient inference and learning in VAEs. We validate the effectiveness of our model through quantitative comparisons with other state-of-the-art deep clustering models on six benchmark datasets. Moreover, due to the generative nature of VAEs, the proposed model can generate highly realistic samples of specific classes without supervised information.

本文提出了一种新的基于变分自编码器(VAE)的深度聚类模型GamMM-VAE,该模型能够以无监督的方式学习训练数据的潜在表示进行聚类。现有的基于vae的深度聚类方法大多使用高斯混合模型(GMM)作为潜在空间的先验。我们采用更灵活的非对称伽马混合模型来实现更高质量的数据潜在空间嵌入。其次,由于Gamma是为严格正变量定义的,为了利用VAE的重参数化技巧,我们提出了一种从高斯分布到Gamma分布的转换方法。这种方法也可以被认为是一种伽马分布再参数化技巧,允许梯度在VAE的采样过程中反向传播。最后,我们有效地推导了基于Gamma混合模型的随机梯度变分贝叶斯(SGVB)估计器的证据下界(ELBO),以优化所提出的模型。ELBO是一种变分推理目标,它保证了后验分布的近似最大化,而SGVB是一种用于在vae中进行有效推理和学习的方法。我们通过在六个基准数据集上与其他最先进的深度聚类模型进行定量比较,验证了我们模型的有效性。此外,由于VAEs的生成特性,所提出的模型可以在没有监督信息的情况下生成特定类别的高度真实的样本。
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引用次数: 0
CDCGAN: Class Distribution-aware Conditional GAN-based minority augmentation for imbalanced node classification. CDCGAN:基于类分布感知的条件gan的非平衡节点分类的少数增强。
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-11-29 DOI: 10.1016/j.neunet.2024.106933
Bojia Liu, Conghui Zheng, Fuhui Sun, Xiaoyan Wang, Li Pan

Node classification is a fundamental task of Graph Neural Networks (GNNs). However, GNN models tend to suffer from the class imbalance problem which deteriorates the representation ability of minority classes, thus leading to unappealing classification performance. The most straightforward and effective solution is to augment the minority samples for balancing the representations of majority and minority classes. Previous methods leverage a limited number of labeled nodes to generate new samples, without considering the overall class characteristics and failing to reflect the underlying class distributions. Besides, they often yield less distinguishable nodes that cannot represent their original classes well, because they may incorporate useless information from other classes to form node representations. To address this issue, we propose a Class Distribution-aware Conditional Generative Adversarial Network (CDCGAN) to generate diverse and distinguishable minority nodes based on their class distribution characteristics. Specifically, we extract the node embeddings and class distributions while preserving the topology and attribute information, thus capturing the overall class characteristics. Then, the obtained class distributions are used to design a conditional generator, which incorporates nonlinear transformations to generate diverse minority nodes and leverages adversarial learning to maintain intrinsic class distribution characteristics. At last, to ensure the distinguishability of node representations, a unique discriminator is implemented to jointly discriminate and classify nodes of the augmented graph. Extensive experiments conducted on six datasets demonstrate that the proposed CDCGAN outperforms the state-of-the-art methods on widely used evaluation metrics. The source code is available at https://github.com/Crystal-LiuBojia/CDCGAN.

节点分类是图神经网络(gnn)的一项基本任务。然而,GNN模型容易出现类不平衡问题,导致少数类的表示能力下降,从而导致分类性能不理想。最直接和有效的解决方案是增加少数群体样本,以平衡多数和少数群体的代表。以前的方法利用有限数量的标记节点来生成新样本,而没有考虑整体的类特征,也不能反映底层的类分布。此外,它们经常产生难以区分的节点,这些节点不能很好地表示它们的原始类,因为它们可能会合并来自其他类的无用信息来形成节点表示。为了解决这个问题,我们提出了一个类分布感知的条件生成对抗网络(CDCGAN),根据它们的类分布特征生成多样化和可区分的少数节点。具体来说,我们提取节点嵌入和类分布,同时保留拓扑和属性信息,从而捕获整体类特征。然后,利用得到的类分布设计条件生成器,该条件生成器结合非线性变换生成不同的少数节点,并利用对抗学习来保持固有的类分布特征。最后,为了保证节点表示的可分辨性,实现了唯一判别器对增广图的节点进行联合判别和分类。在六个数据集上进行的大量实验表明,所提出的CDCGAN在广泛使用的评估指标上优于最先进的方法。源代码可从https://github.com/Crystal-LiuBojia/CDCGAN获得。
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引用次数: 0
Optimization control for mean square synchronization of stochastic semi-Markov jump neural networks with non-fragile hidden information and actuator saturation. 具有非脆弱隐藏信息和致动器饱和的随机半马尔可夫跳变神经网络均方同步优化控制。
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-11-23 DOI: 10.1016/j.neunet.2024.106942
Zou Yang, Jun Wang, Kaibo Shi, Xiao Cai, Sheng Han

This paper studies the asynchronous output feedback control and H synchronization problems for a class of continuous-time stochastic hidden semi-Markov jump neural networks (SMJNNs) affected by actuator saturation. Initially, a novel neural networks (NNs) model is constructed, incorporating semi-Markov process (SMP), hidden information, and Brownian motion to accurately simulate the complexity and uncertainty of real-world environments. Secondly, acknowledging system mode mismatches and the need for robust anti-interference capabilities, a non-fragile controller based on hidden information is proposed. The designed controller effectively mitigates the impact of uncertainties enhancing system reliability. Furthermore, sufficient conditions for stochastic mean square synchronization (MSS) within the domain of attraction are provided, and optimal control is achieved through the construction of a Lyapunov function based on SMP. Finally, the feasibility of the proposed method is verified through numerical examples.

研究了一类受致动器饱和影响的连续时间随机隐半马尔可夫跳变神经网络(SMJNNs)的异步输出反馈控制和H∞同步问题。首先,构建了一种新的神经网络(nn)模型,结合半马尔可夫过程(SMP)、隐藏信息和布朗运动来精确模拟现实环境的复杂性和不确定性。其次,考虑到系统模式不匹配和对鲁棒抗干扰能力的需求,提出了一种基于隐藏信息的非脆弱控制器。所设计的控制器有效地减轻了不确定性的影响,提高了系统的可靠性。给出了引力域内随机均方同步(MSS)的充分条件,并通过构造基于SMP的Lyapunov函数实现了最优控制。最后,通过数值算例验证了所提方法的可行性。
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引用次数: 0
OperaGAN: A simultaneous transfer network for opera makeup and complex headwear. OperaGAN:用于歌剧化妆和复杂头饰的同步传输网络。
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-12-09 DOI: 10.1016/j.neunet.2024.107015
Yue Ma, Chunjie Xu, Wei Song, Hanyu Liang

Standard makeup transfer techniques mainly focus on facial makeup. The texture details of headwear in style examples tend to be ignored. When dealing with complex portrait style transfer, simultaneous correct headwear and facial makeup transfer often cannot be guaranteed. In this paper, we construct the Peking Opera makeup dataset and propose a makeup transfer network for Opera faces called OperaGAN. This network consists of two key components: the Makeup and Headwear Style Encoder module (MHSEnc) and the Identity Coding and Makeup Fusion module (ICMF). MHSEnc is specifically designed to extract the style features from global and local perspectives. ICMF extracts the source image's facial features and combines them with the style features to generate the final transfer result. In addition, multiple overlapping local discriminators are utilized to transfer the high-frequency details in opera makeup. Experiments demonstrate that our method achieves state-of-the-art results in simultaneously transferring opera makeup and headwear. And the method can transfer headwear with missing content and controllable intensity makeup. The code and dataset will be available at https://github.com/Ivychun/OperaGAN.

标准的化妆转移技术主要侧重于面部化妆。风格范例中头饰的纹理细节往往被忽视。在处理复杂的人像风格转移时,往往无法保证同时正确地转移头饰和面部妆容。本文构建了京剧化妆数据集,并提出了一种名为 OperaGAN 的京剧脸谱化妆转移网络。该网络由两个关键部分组成:化妆和头饰风格编码器模块(MHSEnc)以及身份编码和化妆融合模块(ICMF)。MHSEnc 专门用于从全局和局部角度提取风格特征。ICMF 提取源图像的面部特征,并将其与风格特征相结合,生成最终的传输结果。此外,我们还利用多个重叠的局部判别器来转移戏曲化妆中的高频细节。实验证明,我们的方法在同时传输戏曲妆容和头饰方面达到了最先进的效果。此外,该方法还能传输内容缺失的头饰和强度可控的妆容。代码和数据集将发布在 https://github.com/Ivychun/OperaGAN 网站上。
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引用次数: 0
Multi-hop interpretable meta learning for few-shot temporal knowledge graph completion. 基于多跳可解释元学习的短时知识图补全。
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-11-28 DOI: 10.1016/j.neunet.2024.106981
Luyi Bai, Shuo Han, Lin Zhu

Multi-hop path completion is a key part of temporal knowledge graph completion, which aims to infer complex relationships and obtain interpretable completion results. However, the traditional multi-hop path completion models mainly focus on the static knowledge graph with sufficient relationship instances, and does not consider the impact of timestamp information on the completion path, and is not suitable for few-shot relations. These limitations make the performance of these models not good when dealing with few-shot relationships in temporal knowledge graphs. In order to issue these challenges, we propose the Few-shot Temporal knowledge graph completion model based on the Multi-hop Interpretable meta-learning(FTMI). First, by aggregating the multi-hop neighbor information of the task relationship to generate a time-aware entity representation to enhance the task entity representation, the introduction of the timestamp information dimension enables the FTMI model to understand and deal with the impact of time changes on entities and relationships. In addition, time-aware entity pair representations are encoded using Transformer. At the same time, the specific representation of task relationship is generated by means of mean pooling layer aggregation. In addition, the model applies the reinforcement learning framework to the whole process of multi-hop path completion, constructs the strategy network, designs the new reward function to achieve the balance between path novelty and length, and helps Agent find the optimal path, thus realizing the completion of the temporal knowledge graph with few samples. In the training process, meta-learning is used to enable the model to quickly adapt to new tasks in the case of few samples. A huge number of experiments were carried out on two datasets to validate the model's validity.

多跳路径补全是时间知识图补全的关键部分,其目的是推断复杂关系并获得可解释的补全结果。然而,传统的多跳路径补全模型主要关注具有足够关系实例的静态知识图,没有考虑时间戳信息对补全路径的影响,不适用于少跳关系。这些限制使得这些模型在处理时态知识图中的少量关系时性能不佳。为了解决这些问题,我们提出了基于多跳可解释性元学习(FTMI)的Few-shot Temporal知识图补全模型。首先,通过聚合任务关系的多跳邻居信息生成具有时间感知的实体表示来增强任务实体表示,时间戳信息维度的引入使FTMI模型能够理解和处理时间变化对实体和关系的影响。此外,使用Transformer对具有时间感知的实体对表示进行编码。同时,通过平均池化层聚合生成任务关系的具体表示。此外,该模型将强化学习框架应用于多跳路径完成的全过程,构建策略网络,设计新的奖励函数,实现路径新颖性和路径长度的平衡,帮助Agent找到最优路径,从而实现少样本时间知识图的完成。在训练过程中,利用元学习使模型能够在样本较少的情况下快速适应新的任务。在两个数据集上进行了大量的实验来验证模型的有效性。
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引用次数: 0
Large Language Model Enhanced Logic Tensor Network for Stance Detection. 面向姿态检测的大语言模型增强逻辑张量网络。
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-11-29 DOI: 10.1016/j.neunet.2024.106956
Genan Dai, Jiayu Liao, Sicheng Zhao, Xianghua Fu, Xiaojiang Peng, Hu Huang, Bowen Zhang

Social media platforms, rich in user-generated content, offer a unique perspective on public opinion, making stance detection an essential task in opinion mining. However, traditional deep neural networks for stance detection often suffer from limitations, including the requirement for large amounts of labeled data, uninterpretability of prediction results, and difficulty in incorporating human intentions and domain knowledge. This paper introduces the First-Order Logic Aggregated Reasoning framework (FOLAR), an innovative approach that integrates first-order logic (FOL) with large language models (LLMs) to enhance the interpretability and efficacy of stance detection. FOLAR comprises three key components: a Knowledge Elicitation module that generates FOL rules using a chain-of-thought prompting method, a Logic Tensor Network (LTN) that encodes these rules for stance detection, and a Multi-Decision Fusion mechanism that aggregates LTNs' outputs to minimize biases and improve robustness. Our experiments on standard benchmarks demonstrate the effectiveness of FOLAR, showing it as a promising solution for explainable and accurate stance detection. The source code will be made publicly available to foster further research.

社交媒体平台拥有丰富的用户生成内容,提供了独特的民意视角,使得立场检测成为民意挖掘的重要任务。然而,传统的深度神经网络的姿态检测往往存在局限性,包括需要大量的标记数据,预测结果的不可解释性,以及难以将人类意图和领域知识结合起来。本文介绍了一阶逻辑聚合推理框架(FOLAR),这是一种将一阶逻辑(FOL)与大型语言模型(llm)相结合的创新方法,以提高姿态检测的可解释性和有效性。FOLAR由三个关键组件组成:一个知识启发模块,使用思维链提示方法生成FOL规则;一个逻辑张量网络(LTN),对这些规则进行编码以进行姿态检测;以及一个多决策融合机制,该机制聚合LTN的输出以最大限度地减少偏差并提高鲁棒性。我们在标准基准上的实验证明了FOLAR的有效性,表明它是一种有前途的可解释和准确的姿态检测解决方案。源代码将被公开,以促进进一步的研究。
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引用次数: 0
Plane coexistence behaviors for Hopfield neural network with two-memristor-interconnected neurons. 具有双神经元互联的 Hopfield 神经网络的平面共存行为
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-12-12 DOI: 10.1016/j.neunet.2024.107049
Fangyuan Li, Wangsheng Qin, Minqi Xi, Lianfa Bai, Bocheng Bao

Memristors are commonly used as the connecting parts of neurons in brain-like neural networks. The memristors, unlike the existing literature, possess the capability to function as both self-connected synaptic weights and interconnected synaptic weights, thereby enabling the generation of intricate initials-regulated plane coexistence behaviors. To demonstrate this dynamical effect, a Hopfield neural network with two-memristor-interconnected neurons (TMIN-HNN) is proposed. On this basis, the stability distribution of the equilibrium points is analyzed, the related bifurcation behaviors are studied by utilizing some numerical simulation methods, and the plane coexistence behaviors are proved theoretically and revealed numerically. The results clarify that TMIN-HNN not only exhibits complex bifurcation behaviors, but also has initials-regulated plane coexistence behaviors. In particular, the coexistence attractors can be switched to different plane locations by the initial states of the two memristors. Finally, a digital experiment device is developed based on STM32 hardware board to verify the initials-regulated plane coexistence attractors.

忆阻器是类脑神经网络中常用的神经元连接部件。与现有文献不同的是,记忆电阻器具有自连接突触权值和相互连接突触权值的功能,从而能够产生复杂的初始调节平面共存行为。为了证明这种动态效应,提出了一种具有两个记忆电阻器连接神经元的Hopfield神经网络(TMIN-HNN)。在此基础上,分析了平衡点的稳定性分布,利用数值模拟方法研究了相关的分岔行为,从理论上证明了其平面共存行为,并从数值上揭示了其平面共存行为。结果表明,TMIN-HNN不仅表现出复杂的分岔行为,而且具有初始调节的平面共存行为。特别是,共存吸引子可以通过两个忆阻器的初始状态切换到不同的平面位置。最后,开发了基于STM32硬件板的数字实验装置,对初始调节平面共存吸引子进行了验证。
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引用次数: 0
Improved fractional-order gradient descent method based on multilayer perceptron. 基于多层感知器的改进分数阶梯度下降方法。
IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-03-01 Epub Date: 2024-12-01 DOI: 10.1016/j.neunet.2024.106970
Xiaojun Zhou, Chunna Zhao, Yaqun Huang, Chengli Zhou, Junjie Ye

The fractional-order gradient descent (FOGD) method has been employed by numerous scholars in Artificial Neural Networks (ANN), with its superior performance validated both theoretically and experimentally. However, current FOGD methods only apply fractional-order differentiation to the loss function. The application of FOGD based on Autograd to hidden layers leverages the characteristics of fractional-order differentiation, significantly enhancing its flexibility. Moreover, the implementation of FOGD in the hidden layers serves as a necessary foundation for establishing a family of fractional-order deep learning optimizers, facilitating the widespread application of FOGD in deep learning. This paper proposes an improved fractional-order gradient descent (IFOGD) method based on Multilayer Perceptron (MLP). Firstly, a fractional matrix differentiation algorithm and its fractional matrix differentiation solver is proposed based on MLP, ensuring that IFOGD can be applied within the hidden layers. Subsequently, we overcome the issue of incorrect backpropagation direction caused by the absolute value symbol, ensuring that the IFOGD method does not cause divergence in the value of the loss function. Thirdly, fractional-order Autograd (FOAutograd) is proposed based on PyTorch by reconstructing Linear layer and Mean Squared Error Loss module. By combining FOAutograd with first-order adaptive deep learning optimizers, parameter matrices in each layer of ANN can be updated using fractional-order gradients. Finally, we compare and analyze the performance of IFOGD with other methods in simulation experiments and time series prediction tasks. The experimental results demonstrate that the IFOGD method exhibits performances.

分数阶梯度下降(FOGD)方法被许多学者用于人工神经网络(ANN),其优越的性能在理论和实验上都得到了验证。然而,目前的FOGD方法只对损失函数进行分数阶微分。将基于自grad的FOGD应用于隐层,充分利用了分数阶微分的特性,极大地提高了其灵活性。此外,在隐藏层中实现FOGD为建立分数阶深度学习优化器家族提供了必要的基础,促进了FOGD在深度学习中的广泛应用。提出了一种改进的基于多层感知器的分数阶梯度下降(IFOGD)方法。首先,提出了一种基于MLP的分数阶矩阵微分算法及其分数阶矩阵微分解算器,保证了IFOGD在隐层内的应用;随后,我们克服了由于绝对值符号导致的反向传播方向不正确的问题,保证了IFOGD方法不会引起损失函数值的发散。第三,基于PyTorch,通过重构线性层和均方误差损失模块,提出分数阶自grad (FOAutograd)算法。通过将FOAutograd与一阶自适应深度学习优化器相结合,可以使用分数阶梯度更新人工神经网络每层的参数矩阵。最后,在仿真实验和时间序列预测任务中,比较分析了IFOGD与其他方法的性能。实验结果表明,IFOGD方法具有良好的性能。
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引用次数: 0
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Neural Networks
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