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DETrack: Depth information is predictable for tracking DETrack:深度信息是可预测的跟踪
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128906
Weiyu Zhao , Yizhuo Jiang , Yan Gao , Jie Li , Xinbo Gao
The purpose of multi-object tracking lies in the estimation of both the bounding boxes of targets and their identities. Nonetheless, occlusion brought by the object interactions often cause identity switches and trajectory loss. Inspired by the human vision of three-dimensional tracking properties, we propose a tracking framework based on depth estimation called DETrack to address this issue. This framework features a Depth Information Module (DIM) under monocular conditions, which can produce depth features as an association cue for multi-object tracking. In addition, to actively retrieves information lost in trajectories, we have also put forward a ”refind” component, which echoes how human vision compensates for objects out of sight. Our framework can seamlessly integrate with most trackers, and introduce introducing an entirely new data dimension to the tracking task. We have tested DETrack using the MOT17 and DanceTrack benchmark datasets and compared it with alternative methods. The test results demonstrate that our technique works effectively with current MOT trackers, and it significantly enhances tracking results based on HOTA, IDF1, and MOTA metrics on both datasets.
多目标跟踪的目的在于对目标的边界框和目标的身份进行估计。然而,物体相互作用带来的遮挡往往会导致身份转换和轨迹丢失。受人类视觉三维跟踪特性的启发,我们提出了一种基于深度估计的跟踪框架DETrack来解决这个问题。该框架在单目条件下具有深度信息模块(DIM),可以产生深度特征作为多目标跟踪的关联线索。此外,为了主动检索轨迹中丢失的信息,我们还提出了“重新发现”组件,这与人类视觉对视线之外的物体进行补偿的方式相呼应。我们的框架可以与大多数跟踪器无缝集成,并为跟踪任务引入了一个全新的数据维度。我们使用MOT17和DanceTrack基准数据集测试了DETrack,并将其与其他方法进行了比较。测试结果表明,我们的技术可以有效地与当前的MOTA跟踪器一起工作,并且在两个数据集上显著增强了基于HOTA、IDF1和MOTA指标的跟踪结果。
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引用次数: 0
Position-aware representation learning with anatomical priors for enhanced pancreas tumor segmentation 基于解剖先验的位置感知表征学习增强胰腺肿瘤分割
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128881
Kaiqi Dong , Peijun Hu , Yu Tian , Yan Zhu , Xiang Li , Tianshu Zhou , Xueli Bai , Tingbo Liang , Jingsong Li
Accurate pancreatic tumor segmentation in CT images is crucial but challenging due to the complex anatomy and varied tumor appearance. Previous methods predominantly adopt two-stage segmentation approaches to identify and localize tumors and rely heavily on CNN-extracted texture features. In this study, we propose a tumor position-aware branch to learn pancreatic anatomical priors and integrate them into a standard 3D U-Net segmentation network. The tumor position-aware branch consists of three innovative components. Firstly, the proposed method utilizes discrete information bottleneck theory to extract compact and informative segmentation features with pancreatic anatomical priors. Secondly, we propose a coordinate position encoding transformer that encodes the spatial coordinates of each patch within the CT volume. This encoding provides the model with a global positional context, allowing it to effectively model the spatial relationships between anatomical structures. Thirdly, a probability margin regularization loss is proposed to further eliminate the interference of background patches on the learning of pancreatic anatomical positions. Our model is trained and validated our model on the public Medical Segmentation Decathlon (MSD) dataset and a private clinical dataset. Experimental results demonstrate that our approach achieves competitive performance compared to state-of-the-art (SOTA) methods in both pancreas and tumor segmentation, with Dice scores of 82.11% for the pancreas and 55.56% for the tumor on the MSD dataset. The proposed framework offers an effective solution to leverage anatomical priors and enhance representation learning for improved pancreatic tumor segmentation.
由于复杂的解剖结构和不同的肿瘤外观,在CT图像中准确的胰腺肿瘤分割是至关重要的,但具有挑战性。以前的方法主要采用两阶段分割方法来识别和定位肿瘤,并且严重依赖于cnn提取的纹理特征。在这项研究中,我们提出了一个肿瘤位置感知分支来学习胰腺解剖先验,并将它们整合到标准的3D U-Net分割网络中。肿瘤位置感知分支由三个创新组件组成。该方法首先利用离散信息瓶颈理论提取具有胰腺解剖先验的紧凑、信息丰富的分割特征;其次,我们提出了一种坐标位置编码转换器,对CT体内每个patch的空间坐标进行编码。这种编码为模型提供了一个全局位置上下文,使其能够有效地模拟解剖结构之间的空间关系。再次,提出一种概率边缘正则化损失,进一步消除背景斑块对胰腺解剖位置学习的干扰。我们的模型在公共医疗分割十项全能(MSD)数据集和私人临床数据集上进行了训练和验证。实验结果表明,与最先进的(SOTA)方法相比,我们的方法在胰腺和肿瘤分割方面都取得了具有竞争力的性能,在MSD数据集上,胰腺的Dice得分为82.11%,肿瘤的Dice得分为55.56%。所提出的框架提供了有效的解决方案,利用解剖先验和增强表征学习来改进胰腺肿瘤分割。
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引用次数: 0
Prompt-guided bidirectional deep fusion network for referring image segmentation 基于快速引导的双向深度融合网络参考图像分割
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128899
Junxian Wu , Yujia Zhang , Michael Kampffmeyer , Xiaoguang Zhao
Referring image segmentation involves accurately segmenting objects based on natural language descriptions. This poses challenges due to the intricate and varied nature of language expressions, as well as the requirement to identify relevant image regions among multiple objects. Current models predominantly employ language-aware early fusion techniques, which may lead to misinterpretations of language expressions due to the lack of explicit visual guidance of the language encoder. Additionally, early fusion methods are unable to adequately leverage high-level contexts. To address these limitations, this paper introduces the Prompt-guided Bidirectional Deep Fusion Network (PBDF-Net) to enhance the fusion of language and vision modalities. In contrast to traditional unidirectional early fusion approaches, our approach employs a prompt-guided bidirectional encoder fusion (PBEF) module to promote mutual cross-modal fusion across multiple stages of the vision and language encoders. Furthermore, PBDF-Net incorporates a prompt-guided cross-modal interaction (PCI) module during the late fusion stage, facilitating a more profound integration of contextual information from both modalities, resulting in more accurate target segmentation. Comprehensive experiments conducted on the RefCOCO, RefCOCO+, G-Ref and ReferIt datasets substantiate the efficacy of our proposed method, demonstrating significant advancements in performance compared to existing approaches.
参考图像分割涉及到基于自然语言描述的对象的准确分割。由于语言表达的复杂性和多样性,以及在多个对象中识别相关图像区域的要求,这带来了挑战。目前的模型主要采用语言感知的早期融合技术,由于缺乏语言编码器的明确视觉指导,这可能导致对语言表达的误解。此外,早期的融合方法不能充分利用高级上下文。为了解决这些问题,本文引入了提示引导双向深度融合网络(PBDF-Net)来增强语言和视觉模式的融合。与传统的单向早期融合方法相比,我们的方法采用了一个提示引导的双向编码器融合(PBEF)模块来促进视觉和语言编码器多个阶段的相互跨模态融合。此外,PBDF-Net在后期融合阶段集成了一个快速引导的跨模态交互(PCI)模块,促进了两种模态上下文信息的更深入集成,从而实现了更准确的目标分割。在RefCOCO、RefCOCO+、G-Ref和refit数据集上进行的综合实验证实了我们提出的方法的有效性,表明与现有方法相比,我们的方法在性能上有了显著的进步。
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引用次数: 0
Event-triggered robust hierarchical control for uncertain multiplayer Stackelberg games via adaptive dynamic programming 基于自适应动态规划的不确定多人Stackelberg博弈事件触发鲁棒分层控制
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128873
Yongwei Zhang , Bo Zhao , Derong Liu , Marios M. Polycarpou , Shiguo Peng , Shunchao Zhang
This paper investigates the event-triggered robust hierarchical control (ETRHC) problem of uncertain multi-player nonlinear systems subject to actuator faults by using adaptive dynamic programming and integral sliding mode technique. Different from existing results where the control policies of all players are updated simultaneously, a hierarchical decision-making problem is considered as a Stackelberg game. The Stackelberg game consists of a single leader and multiple followers, the leader acts a control policy in advance by considering the responses of all the followers, and each follower responds optimally to the leader’s policy. The proposed control structure comprises of two components, namely integral sliding mode control and ETRHC. In the first step, the integral sliding mode control policy is developed to cope with actuator faults and matched uncertainties, and then, the fault-free multi-player nonlinear systems with mismatched uncertainties is obtained. In the second step, by designing an appropriate performance index function for each player, the ETRHC of the fault-free multi-player nonlinear system with mismatched uncertainties is converted to an event-triggered approximate optimal control of its nominal form, and the hierarchical decision-making problem is addressed. Subsequently, the ETRHC laws are derived by solving event-triggered Hamilton–Jacobi equations with the critic-only learning. Theoretical analysis demonstrates that the integral sliding mode-based ETRHC scheme guarantees the multi-player uncertain nonlinear systems with actuator faults to be asymptotically stable. Finally, the quadrotor attitude system is adopted to verify the effectiveness of the present scheme.
采用自适应动态规划和积分滑模技术,研究了不确定多主体非线性系统在执行器故障情况下的事件触发鲁棒层次控制问题。与现有的所有参与者同时更新控制策略的结果不同,我们将分层决策问题视为Stackelberg博弈。Stackelberg博弈由一个领导者和多个追随者组成,领导者通过考虑所有追随者的反应提前采取控制策略,每个追随者对领导者的策略做出最优反应。所提出的控制结构由积分滑模控制和ETRHC两部分组成。首先,针对执行器故障和匹配不确定性,建立了积分滑模控制策略,得到了具有不匹配不确定性的无故障多主体非线性系统。第二步,通过为每个参与者设计合适的性能指标函数,将具有不匹配不确定性的无故障多参与者非线性系统的ETRHC转换为其名义形式的事件触发近似最优控制,并解决分层决策问题。然后,通过求解事件触发的Hamilton-Jacobi方程,用临界学习推导出ETRHC定律。理论分析表明,基于积分滑模的ETRHC方案保证了具有执行器故障的多参与者不确定非线性系统的渐近稳定。最后,采用四旋翼姿态系统验证了该方案的有效性。
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引用次数: 0
Spatialspectral-Backdoor: Realizing backdoor attack for deep neural networks in brain–computer interface via EEG characteristics 空间频谱后门:利用脑电特征实现脑机接口深度神经网络的后门攻击
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128902
Fumin Li , Mengjie Huang , Wenlong You , Longsheng Zhu , Hanjing Cheng , Rui Yang
In recent years, electroencephalogram (EEG) based on the brain–computer interface (BCI) systems have become increasingly advanced, with researcher using deep neural networks as tools to enhance performance. BCI systems heavily rely on EEG signals for effective human–computer interactions, and deep neural networks show excellent performance in processing and classifying these signals. Nevertheless, the vulnerability to backdoor attack is still a major problem. Backdoor attack is the injection of specially designed triggers into the model training process, which can lead to significant security issues. Therefore, in order to simulate the negative impact of backdoor attack and bridge the research gap in the field of BCI, this paper proposes a new backdoor attack method to call researcher attention to the security issues of BCI. In this paper, Spatialspectral-Backdoor is proposed to effectively attack the BCI system. The method is carefully designed to target the spectral active backdoor attack of the BCI system and includes a multi-channel preference method to select the electrode channels sensitive to the target task. Ultimately, the effectiveness of the comparison and ablation experiments is validated on the publicly available BCI competition datasets. The results show that the average attack success rate and clean sample accuracy of Spatialspectral-Backdoor in the BCI scenario are 97.12% and 85.16%, respectively, compared with other backdoor attack methods. Furthermore, by observing the infection ratio of backdoor triggers and visualization of the feature space, the proposed Spatialspectral-Backdoor outperforms other backdoor attack methods.
近年来,基于脑机接口(BCI)系统的脑电图(EEG)越来越先进,研究人员使用深度神经网络作为工具来提高性能。脑机接口系统严重依赖脑电图信号进行有效的人机交互,而深度神经网络在处理和分类这些信号方面表现出优异的性能。然而,对后门攻击的脆弱性仍然是一个主要问题。后门攻击是在模型训练过程中注入特殊设计的触发器,这可能导致严重的安全问题。因此,为了模拟后门攻击的负面影响,弥补BCI领域的研究空白,本文提出了一种新的后门攻击方法,以引起研究者对BCI安全问题的重视。为了有效地攻击BCI系统,本文提出了一种空间频谱后门攻击方法。该方法针对脑机接口系统的频谱主动后门攻击进行了精心设计,并采用多通道优选方法来选择对目标任务敏感的电极通道。最后,在公开可用的BCI竞争数据集上验证了比较和消融实验的有效性。结果表明,与其他后门攻击方法相比,该方法在BCI场景下的平均攻击成功率和干净样本准确率分别为97.12%和85.16%。此外,通过观察后门触发器的感染率和特征空间的可视化,所提出的空间光谱后门攻击方法优于其他后门攻击方法。
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引用次数: 0
Shared Hybrid Attention Transformer network for colon polyp segmentation 结肠息肉分割的共享混合注意转换网络
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128901
Zexuan Ji , Hao Qian , Xiao Ma
In the field of medical imaging, the automatic detection and segmentation of colon polyps is crucial for the early diagnosis of colorectal cancer. Currently, Transformer methods are commonly employed for colon polyp segmentation tasks, often utilizing dual attention mechanisms. However, these attention mechanisms typically utilize channel attention and spatial attention in a serial or parallel manner, which increases computational costs and model complexity. To address these issues, we propose a Shared Hybrid Attention Transformer (SHAT) framework, which shares queries and keys, thereby avoiding redundant computations and reducing computational complexity. Additionally, we introduce differential subtraction attention module to enhance feature fusion capability and significantly improve the delineation of polyp boundaries, effectively capture complex image details and edge information involved in the colon polyp images comparing with existing techniques. Our approach overcomes the limitations of existing colon polyp segmentation techniques. Experimental results on a large-scale annotated colon polyp image dataset demonstrate that our method excels in localizing and segmenting polyps of various sizes, shapes, and textures with high robustness. The source code for the SHAT framework is available at https://github.com/peanutHao/SHAT.
在医学影像领域,结肠息肉的自动检测与分割对于大肠癌的早期诊断至关重要。目前,Transformer方法通常用于结肠息肉分割任务,通常使用双注意机制。然而,这些注意机制通常以串行或并行的方式利用通道注意和空间注意,这增加了计算成本和模型复杂性。为了解决这些问题,我们提出了一个共享混合注意转换器(shaat)框架,该框架共享查询和键,从而避免了冗余计算并降低了计算复杂度。此外,我们引入差分减法关注模块,增强了特征融合能力,显著改善了息肉边界的描绘,与现有技术相比,有效地捕获了结肠息肉图像中涉及的复杂图像细节和边缘信息。我们的方法克服了现有结肠息肉分割技术的局限性。在大规模标注结肠息肉图像数据集上的实验结果表明,该方法在不同大小、形状和纹理的息肉中具有较好的定位和分割效果,具有较高的鲁棒性。SHAT框架的源代码可从https://github.com/peanutHao/SHAT获得。
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引用次数: 0
Dual-dimensional contrastive learning for incomplete multi-view clustering 不完全多视角聚类的双维对比学习
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128892
Zhengzhong Zhu , Chujun Pu , Xuejie Zhang , Jin Wang , Xiaobing Zhou
Incomplete multi-view clustering (IMVC) is a critical task in real-world applications, where missing data in some views can severely limit the ability to leverage complementary information across views. This issue leads to incomplete sample representations, hindering model performance. Current contrastive learning methods for IMVC exacerbate the problem by directly constructing data pairs from incomplete samples, ignoring essential information and resulting in class collisions, where samples from different classes are incorrectly grouped together due to a lack of label guidance. These challenges are particularly detrimental in fields like recommendation systems and bioinformatics, where accurate clustering of high-dimensional and incomplete data is essential for decision-making. To address these issues, we propose Dual-dimensional Contrastive Learning (DCL), an online IMVC model that fills missing values through multi-view consistency transfer, enabling simultaneous clustering and representation learning via instance-level and cluster-level contrastive learning in both row and column spaces. DCL mitigates class collision issues by generating high-confidence pseudo-labels and using an optimal transport matrix, significantly improving clustering accuracy. Extensive experiments demonstrate that DCL achieves state-of-the-art results across five datasets. The code is available at https://github.com/2251821381/DCL.
不完整多视图聚类(IMVC)是现实世界应用中的一项关键任务,因为某些视图中的数据缺失会严重限制利用跨视图互补信息的能力。这一问题会导致样本表示不完整,从而影响模型性能。目前用于 IMVC 的对比学习方法直接从不完整的样本中构建数据对,忽略了基本信息,导致类碰撞,即由于缺乏标签指导,来自不同类的样本被错误地归类在一起,从而加剧了问题的严重性。这些挑战对推荐系统和生物信息学等领域尤为不利,因为在这些领域,对高维和不完整数据进行准确聚类对决策至关重要。为了解决这些问题,我们提出了双维对比学习(Dual-dimensional Contrastive Learning,DCL),这是一种在线 IMVC 模型,它通过多视角一致性转移来填补缺失值,通过行和列空间中的实例级和集群级对比学习,实现同时聚类和表示学习。DCL 通过生成高置信度伪标签和使用最优传输矩阵来缓解类碰撞问题,从而显著提高聚类准确性。大量实验证明,DCL 在五个数据集上取得了最先进的结果。代码可在 https://github.com/2251821381/DCL 上获取。
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引用次数: 0
Precise occlusion-aware and feature-level reconstruction for occluded person re-identification 精确的闭塞感知和特征级重构用于闭塞人再识别
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128919
Xiujun Shu , Hanjun Li , Wei Wen , Ruizhi Qiao , Nannan Li , Weijian Ruan , Hanjing Su , Bo Wang , Shouzhi Chen , Jun Zhou
Occluded person re-IDentification (re-ID) is a challenging task in surveillance scenarios that remains unresolved. To address it, existing methods primarily rely on auxiliary models, e.g. pose estimation, to explore visible parts by detecting human keypoints. However, these approaches inevitably encounter two issues: domain gap and information asymmetry. The former arises from pre-training auxiliary models on different domains, while the latter indicates that the occluded query has asymmetric valid cues compared to the holistic visible gallery. In this paper, we propose a novel Precise Occlusion-aware and Feature-level Reconstruction (POFR) network for occluded re-ID. POFR addresses the occlusion issue from two viewpoints: perceiving the occlusions other than visible human bodies and reconstructing the occluded parts at the feature level. The first perspective is achieved through occlusion-driven contrastive learning (OCL). OCL incorporates an occlusion generator capable of generating object and person-specific occlusions. Unlike previous coarse occlusions, our generator leverages segmented pedestrians and obstacles to generate realistic occlusions which are then used for contrastive learning. The second perspective is implemented through an occlusion-guided feature reconstruction (OFR) module. OFR initially learns an occlusion predictor to estimate the occlusion mask, which is subsequently utilized to recover features corresponding to the occluded regions. Benefiting from the occlusion generator, the occlusion predictor can be effectively supervised with the precise occlusion masks, thereby mitigating the domain gap problem. Additionally, the recovered features alleviate information asymmetry when matching an occluded query and a holistic gallery. Extensive experiments conducted on occluded, partial, and holistic datasets demonstrate the superior performance of our POFR over state-of-the-art methods. The source code will be made publicly available upon paper acceptance.
在监控场景中,被遮挡者的再识别(re-ID)是一项具有挑战性的任务,尚未解决。为了解决这个问题,现有的方法主要依赖于辅助模型,例如姿态估计,通过检测人体关键点来探索可见部分。然而,这些方法不可避免地遇到两个问题:领域差距和信息不对称。前者来自于对不同域的辅助模型的预训练,而后者表明与整体可见库相比,被遮挡的查询具有不对称的有效线索。在本文中,我们提出了一种新的精确闭塞感知和特征级重建(POFR)网络。POFR从两个角度解决遮挡问题:感知除可见人体之外的遮挡和在特征层面重建被遮挡的部分。第一个视角是通过闭塞驱动的对比学习(OCL)实现的。OCL包含一个能够生成物体和个人特定遮挡的遮挡生成器。与之前的粗遮挡不同,我们的生成器利用分段的行人和障碍物来生成逼真的遮挡,然后用于对比学习。第二个视角是通过遮挡引导特征重建(OFR)模块实现的。OFR首先学习遮挡预测器来估计遮挡掩模,然后利用遮挡掩模来恢复被遮挡区域对应的特征。借助遮挡生成器,遮挡预测器可以使用精确的遮挡掩模进行有效的监督,从而减轻了域间隙问题。此外,在匹配闭塞查询和整体图库时,恢复的特征减轻了信息不对称。在遮挡、部分和整体数据集上进行的大量实验表明,我们的POFR优于最先进的方法。源代码将在论文接受后公开提供。
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引用次数: 0
Instance-dependent cost-sensitive parametric learning 依赖于实例的成本敏感参数学习
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128875
Jorge C-Rella , Gerda Claeskens , Ricardo Cao , Juan M. Vilar
Instance-dependent cost-sensitive learning addresses classification problems where each observation has a different misclassification cost. In this paper, we propose cost-sensitive parametric models to minimize the expectation of losses. A loss function incorporating the misclassification costs is defined, which serves as the objective function for obtaining cost-sensitive parameter estimators. The consistency and asymptotic normality of these estimators are established under general conditions, theoretically demonstrating their good performance. Additionally, we derive bounds for the bias introduced when regularizing the optimization problem, which is generally necessary in practice. To conclude, the effectiveness of the proposed estimators is evaluated through an extensive novel simulation study and the analysis of five real data sets, further demonstrating their proficiency in practical settings.
依赖于实例的成本敏感学习可以解决每个观测值都有不同误分类成本的分类问题。在本文中,我们提出了成本敏感参数模型,以最小化损失期望。本文定义了一个包含误分类成本的损失函数,作为获得成本敏感参数估计值的目标函数。在一般条件下建立了这些估计器的一致性和渐近正态性,从理论上证明了它们的良好性能。此外,我们还推导出了优化问题正则化时引入的偏差边界,这在实践中通常是必要的。最后,我们通过大量新颖的模拟研究和对五个真实数据集的分析,对所提出的估计器的有效性进行了评估,进一步证明了它们在实际应用中的熟练程度。
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引用次数: 0
High-order rotor Hopfield neural networks for associative memory 用于联想记忆的高阶转子Hopfield神经网络
IF 5.5 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-11-16 DOI: 10.1016/j.neucom.2024.128893
Bingxuan Chen, Hao Zhang
Multistate associative memory models have shown a remarkable ability to remember non-binary data in recent years, including the complex-valued Hopfield neural networks (CHNNs) and their advanced counterpart of rotor Hopfield neural networks (RHNNs). However, the noise robustness of these models deteriorates significantly as the number of stored patterns and the resolution increase. To address this issue, inspired by the complex connections observed in biological neural systems, high-order connections are incorporated into CHNNs and RHNNs, resulting in the high-order complex-valued Hopfield neural networks (HCHNNs) and the high-order rotor Hopfield neural networks (HRHNNs). By abstracting virtual neurons, high-order connection-based update equations and projection rules are simultaneously modified as complex versions. The maximum storage capacity of the network is increased from N to nearly (N+M), where N and M represent the number of neurons and the number of high-order connections. The associative memory capabilities of HRHNNs were validated on the CIFAR-10, MNIST, and CelebA datasets, demonstrating superior robustness to noise compared to RHNNs as the number of memory patterns increased.
近年来,包括复杂值Hopfield神经网络(CHNNs)和转子Hopfield神经网络(RHNNs)在内的多状态联想记忆模型在记忆非二进制数据方面表现出了显著的能力。然而,这些模型的噪声鲁棒性随着存储模式数量和分辨率的增加而显著下降。为了解决这个问题,受生物神经系统中观察到的复杂连接的启发,将高阶连接纳入CHNNs和RHNNs,从而产生高阶复杂值Hopfield神经网络(HCHNNs)和高阶转子Hopfield神经网络(HRHNNs)。通过抽象虚拟神经元,将基于高阶连接的更新方程和投影规则同时修改为复杂版本。网络的最大存储容量从N增加到接近(N+M),其中N和M分别表示神经元数量和高阶连接数量。在CIFAR-10、MNIST和CelebA数据集上验证了HRHNNs的联想记忆能力,随着记忆模式数量的增加,与RHNNs相比,HRHNNs对噪声的鲁棒性更强。
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