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A hybrid decision tree-Markowitz framework for intelligent trading portfolio optimization 智能交易组合优化的混合决策树- markowitz框架
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-14 DOI: 10.1007/s10489-026-07133-0
Emrah Korhan, Burak Gülmez

Predicting stock returns is difficult due to numerous dynamic and interrelated factors such as interest rates, exchange rates, economic conditions, corporate policies, investor behavior, and political developments. This study proposes a hybrid trading strategy that integrates the Decision Tree (DT) algorithm with the Markowitz Mean-Variance (MV) portfolio optimization model to improve prediction accuracy and optimize investment returns. Using data from 94 companies continuously listed on the NASDAQ 100 (NDX100) index between 2015 and 2024, the model uses technical analysis indicators as input for the DT to predict short-term stock returns and then applies MV optimization to allocate weights within dynamically generated portfolios. The empirical analysis includes 64 portfolio variations derived from different parameter settings and is evaluated using the Sharpe ratio, Sortino ratio, maximum drawdown, total return, and turnover ratios. The results show that portfolios created with higher trading target ratios and moderate MV optimization significantly outperform the NDX100 index, providing superior risk-adjusted returns and better stability. These findings highlight the effectiveness of combining machine learning-based regressor with classical optimization for dynamic portfolio creation and underscore its practical potential for improving trading decisions in volatile markets.

由于许多动态和相互关联的因素,如利率、汇率、经济状况、公司政策、投资者行为和政治发展,预测股票回报是困难的。本研究提出一种将决策树(DT)算法与Markowitz均值方差(MV)组合优化模型相结合的混合交易策略,以提高预测精度并优化投资回报。该模型使用2015年至2024年间连续在纳斯达克100指数(NDX100)上市的94家公司的数据,使用技术分析指标作为DT预测短期股票回报的输入,然后应用MV优化在动态生成的投资组合中分配权重。实证分析包括来自不同参数设置的64个投资组合变量,并使用夏普比率、Sortino比率、最大回撤率、总收益和周转率进行评估。结果表明,以较高的交易目标比和适度的MV优化创建的投资组合显著优于NDX100指数,具有优越的风险调整收益和更好的稳定性。这些发现强调了将基于机器学习的回归量与经典优化相结合以创建动态投资组合的有效性,并强调了其在改善波动市场中的交易决策方面的实际潜力。
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引用次数: 0
Unsupervised multimodal graph-based model for geo-social analysis 基于无监督多模态图的地理社会分析模型
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-14 DOI: 10.1007/s10489-026-07175-4
Ehsaneddin Jalilian, Bernd Resch

The systematic analysis of user-generated social media content, especially when enriched with geospatial context, plays a vital role in domains such as disaster management and public opinion monitoring. Although multimodal approaches have made significant progress, most existing models remain fragmented, processing each modality separately rather than integrating them into a unified end-to-end model. To address this, we propose an unsupervised, multimodal graph-based methodology that jointly embeds semantic and geographic information into a shared representation space. The proposed methodology comprises two architectural paradigms: a mono graph (MonoGrah) model that jointly encodes both modalities, and a multi graph (MultiGraph) model that separately models semantic and geographic relationships and subsequently integrates them through multi-head attention mechanisms. A composite loss, combining contrastive, coherence, and alignment objectives, guides the learning process to produce semantically coherent and spatially compact clusters. Experiments on four real-world disaster datasets demonstrate that our models consistently outperform existing baselines in topic quality, spatial coherence, and interpretability. Inherently domain-independent, the framework can be readily extended to diverse forms of multimodal data and a wide range of downstream analysis tasks.

对用户生成的社交媒体内容进行系统分析,特别是在丰富了地理空间背景的情况下,在灾害管理和舆论监测等领域发挥着至关重要的作用。尽管多模态方法取得了重大进展,但大多数现有模型仍然是碎片化的,分别处理每种模态,而不是将它们集成到一个统一的端到端模型中。为了解决这个问题,我们提出了一种无监督的、基于多模态图的方法,该方法将语义和地理信息共同嵌入到共享的表示空间中。提出的方法包括两种架构范式:一种是单图(MonoGrah)模型,它联合编码两种模式;另一种是多图(MultiGraph)模型,它分别对语义和地理关系建模,然后通过多头注意机制将它们集成在一起。复合损失,结合对比、连贯和对齐目标,引导学习过程产生语义连贯和空间紧凑的集群。在四个真实灾难数据集上的实验表明,我们的模型在主题质量、空间一致性和可解释性方面始终优于现有基线。固有的领域独立,框架可以很容易地扩展到多种形式的多模态数据和广泛的下游分析任务。
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引用次数: 0
Deep Rayleigh quotient iteration for solving eigenvalue problems of linear differential operators 求解线性微分算子特征值问题的深度瑞利商迭代
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-12 DOI: 10.1007/s10489-026-07127-y
Yiwen Guo, Liangxing Li, Jiabin Gui

This paper presents a deep learning-based numerical algorithm named Deep Rayleigh Quotient Iteration (DRQI), which extends the classical, high order convergent scheme in matrix eigenvalue problems, Rayleigh quotient iteration (RQI), to large scale discretization and further continuous linear differential operator through neural network parametrization. By embedding the RQI structure into a semi-implicit relaxation loss, which couples successive Rayleigh updates, preserves the convergence behavior of RQI in the extended functional setting. And the mean squared residual of the governing equation serves as a stopping criterion to avoid overfitting. The performance of DRQI is systematically analyzed from both theoretical and experimental perspective. Theoretical analysis proves that the DRQI inherits the higher-order convergence property of RQI and provides the guidelines for network design and standards for sampling density, establishing the consistency between discrete RQI and its continuous operator counterpart. While the benchmark experiments across the Laplace and Fokker-Plank operators demonstrate that DRQI is more robust in lower dimensional cases, outperforming the deep Ritz method and the inverse power method neural network in accuracy of eigenpairs estimation. The results also indicate that the relaxation factor enables control over the early training stages, enhancing adaptability in practical applications. Finally, DRQI is applied to the 1D neutron transport equation, achieving errors below 10–5 within 1500 training epochs when estimating the effective multiplication factor. These results highlight DRQI as a general, higher-order convergent, and practically robust eigenvalue problem solver with strong potential for engineering applications.

本文提出了一种基于深度学习的数值算法——深度瑞利商迭代(deep Rayleigh Quotient Iteration, DRQI),通过神经网络参数化,将矩阵特征值问题中的经典高阶收敛方案瑞利商迭代(Rayleigh Quotient Iteration, RQI)扩展到大规模离散化和进一步的连续线性微分算子。通过将RQI结构嵌入到耦合连续Rayleigh更新的半隐式松弛损失中,保持了RQI在扩展功能设置中的收敛性。控制方程的均方残差作为停止准则,以避免过拟合。从理论和实验两方面系统分析了DRQI的性能。理论分析证明了DRQI继承了RQI的高阶收敛性,为网络设计提供了指导,为采样密度提供了标准,建立了离散RQI与连续RQI的一致性。而在拉普拉斯和Fokker-Plank算子上的基准实验表明,DRQI在低维情况下更具鲁棒性,在特征对估计的准确性方面优于深度里兹方法和逆幂方法神经网络。研究结果还表明,松弛因子可以控制训练的早期阶段,增强了实际应用中的适应性。最后,将DRQI应用于一维中子输运方程,在1500个训练周期内估计有效乘法因子的误差在10-5以下。这些结果突出了DRQI是一种通用的、高阶收敛的、具有实际鲁棒性的特征值问题求解器,具有很强的工程应用潜力。
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引用次数: 0
Capability of large language models in assisting GPs with diagnoses 大型语言模型协助全科医生诊断的能力
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-12 DOI: 10.1007/s10489-025-06827-1
Ruibin Wang, Abdul Rehman, Tingting Li, Rupert Page, Hailing Li, Xiaokun Wang, Xiaosong Yang, Jian Jun Zhang

Purpose: A decision support pathway for general practitioners (GPs) was explored through automated referral letter analysis, with large language models’ (LLMs) diagnostic roles comprehensively evaluated. Methods: The in-context learning performance of ChatGPT and GPT-4 for diagnostic decision support was evaluated using referral letters. Synthetic referral letters generated by ChatGPT addressed data scarcity, with distributional congruence quantified via Kullback-Leibler divergence. Two fine-tuning frameworks were comparatively assessed: encoder-based pre-trained language models (PLMs) for diagnostic classification, and decoder-based LLMs adapted to multiple-choice question-answering paradigms. Results: GPT-4 showed suboptimal few-shot accuracy (0.544). Synthetic letters demonstrated high fidelity (KL-divergence<0.05). Encoder-based PLMs consistently outperformed decoder-based LLMs when fine-tuned with augmented data, with BERT achieving 0.977 accuracy in mixed-train-collect-test protocols. Complementary F1 (0.9707) confirmed negligible diagnostic bias. Conclusion: LLMs exhibited insufficient diagnostic accuracy through both direct implementation (GPT-4 few-shot: 0.544) and fine-tuning approaches (accuracy 0.723), establishing fundamental limitations in clinical deployment. Crucially, their text-generation capability was leveraged for structured data augmentation, producing synthetic referral letters with high distributional fidelity (KL-divergence<0.05). This validated methodology enabled superior diagnostic performance through encoder-based PLM fine-tuning, where BERT achieved near-clinical-utility accuracy (0.977) - demonstrating 25.4% relative improvement over best-performing LLMs. Implementation pathways consequently prioritize this hybrid framework: LLM-mediated data augmentation followed by resource-efficient PLM classifiers, currently undergoing neurologist-piloted validation before multicenter expansion.

目的:通过自动转诊信分析探索全科医生(gp)的决策支持途径,并综合评估大型语言模型(LLMs)的诊断作用。方法:采用推荐信评价ChatGPT和GPT-4在诊断决策支持中的情境学习表现。ChatGPT生成的综合推荐信解决了数据稀缺性问题,并通过Kullback-Leibler散度量化了分布同余性。比较评估了两种微调框架:用于诊断分类的基于编码器的预训练语言模型(PLMs)和适用于选择题回答范式的基于解码器的预训练语言模型(LLMs)。结果:GPT-4出现次优的少射精度(0.544)。合成字母具有较高的保真度(KL-divergence<0.05)。当使用增强数据进行微调时,基于编码器的plm始终优于基于解码器的llm, BERT在混合训练-收集-测试协议中达到0.977的准确率。互补F1(0.9707)证实诊断偏倚可忽略不计。结论:通过直接实施(GPT-4少射:0.544)和微调方法(准确率0.723),LLMs的诊断准确性都不足,这对临床应用产生了根本性的限制。至关重要的是,它们的文本生成能力被用于结构化数据增强,生成具有高分布保真度的合成推荐信(KL-divergence<0.05)。这种经过验证的方法通过基于编码器的PLM微调实现了卓越的诊断性能,BERT达到了接近临床效用的准确性(0.977),比表现最好的llm相对提高了25.4%。因此,实施途径优先考虑这种混合框架:llm介导的数据增强,然后是资源高效的PLM分类器,目前正在多中心扩展之前进行神经学家试点验证。
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引用次数: 0
Anchor-based tensor clustering of multi-view data through high order relational fusion 基于高阶关系融合的多视图数据锚点张量聚类
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-12 DOI: 10.1007/s10489-026-07166-5
Yan Gong, Tao Yang, Yanying Mei, Yanhua Shao

Multi-view clustering, which integrates complementary information from heterogeneous data sources, has witnessed substantial progress in graph-based methodologies. However, prevalent graph-based methods often suffer from sparse initial graph constructions and high computational demands for large-scale data. Furthermore, effectively learning consistent underlying structures while mitigating noise and view discrepancies remains challenging, frequently leading to fusion distortion. In this paper, we present a novel Anchor-based Tensor Fusion method via High-Order Relations (ATFMH) to address these limitations, ATFMH leverages anchor graphs to build high-order graphs, systematically mitigating initial sparsity and capturing deeper structural relationships. Furthermore, ATFMH employs a low-rank tensor nuclear norm constraint on the jointly learned similarity graphs. This constraint promotes a consistent shared subspace across views, enhancing robustness against view-specific variations and noise. Extensive experiments demonstrate that ATFMH achieves an optimal balance between efficiency and accuracy. ATFMH significantly reduces computational and spatial costs while maintaining or exceeding state-of-the-art clustering performance across multiple benchmarks. This work provides an efficient and robust solution for large-scale multi-view data analysis.

多视图聚类集成了来自异构数据源的互补信息,在基于图的方法中取得了重大进展。然而,目前流行的基于图的方法往往存在初始图构造稀疏和对大规模数据计算量要求高的问题。此外,有效地学习一致的底层结构,同时减轻噪声和视图差异仍然具有挑战性,这经常导致融合失真。在本文中,我们提出了一种新的基于锚点的张量融合方法,通过高阶关系(ATFMH)来解决这些限制,ATFMH利用锚点图来构建高阶图,系统地减轻初始稀疏性并捕获更深层次的结构关系。此外,ATFMH在联合学习的相似图上采用了低秩张量核范数约束。这个约束促进了视图之间一致的共享子空间,增强了对特定于视图的变化和噪声的鲁棒性。大量的实验表明,ATFMH在效率和精度之间达到了最佳平衡。ATFMH显著降低了计算和空间成本,同时在多个基准测试中保持或超过最先进的集群性能。该工作为大规模多视图数据分析提供了一种高效、稳健的解决方案。
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引用次数: 0
Fast multi-view clustering with geometric structures 快速多视图几何结构聚类
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-12 DOI: 10.1007/s10489-026-07169-2
Yukai Zhao, Xuesong Yin, Ting Shu, Jianhao Ding, Yigang Wang

Multi-view clustering has been extensively studied to group large amounts of multi view data using multiple information sources. Traditional multi-view clustering algorithms often exhibit quadratic or even cubic complexity, posing challenges for large-scale datasets. Recently, several algorithms have employed anchor graphs to reduce expensive time complexity. However, these algorithms fail to respect the intrinsic geometric structure within individual views. To address this issue, this paper proposes a novel multi-view clustering algorithm, called fast multi-view clustering with geometric structures (FMCGS). FMCGS constructs an affinity graph to model the geometric structure within each view separately. Moreover, it can adaptively assign different weights to different views, expecting views that play a more important role in clustering to have greater weights. We also present an optimization scheme based on iterative updating of three factor matrices to solve the proposed model. Extensive experiments on nine real-world datasets validate the superiority of the proposed approach over state-of-the-art methods.

多视图聚类已被广泛研究,用于对使用多个信息源的大量多视图数据进行分组。传统的多视图聚类算法往往具有二次甚至三次的复杂性,这对大规模数据集提出了挑战。最近,一些算法使用锚图来降低昂贵的时间复杂度。然而,这些算法没有考虑到单个视图内部的几何结构。为了解决这一问题,本文提出了一种新的多视图聚类算法——基于几何结构的快速多视图聚类算法(FMCGS)。FMCGS构造一个亲和图,分别对每个视图中的几何结构进行建模。此外,它可以自适应地为不同的视图分配不同的权重,期望在聚类中发挥更重要作用的视图具有更大的权重。我们还提出了一个基于三因子矩阵迭代更新的优化方案来求解所提出的模型。在九个真实世界数据集上的广泛实验验证了所提出的方法优于最先进的方法。
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引用次数: 0
MSCFNet: mixed-scale context fusion network for medical image segmentation MSCFNet:用于医学图像分割的混合尺度上下文融合网络
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-11 DOI: 10.1007/s10489-026-07176-3
Lingyi Xu, Dongfang Tang, Ting Xiao, Hao Wang, Zhe Wang, Wen Gao

Effective medical image segmentation results are essential for the subsequent diagnosis. Fully convolutional networks and their variants based on the encoder-decoder structure have achieved excellent performance in medical image segmentation. Despite recent progress, segmenting targets with large-scale variations and complex backgrounds remains difficult. In this paper, we propose a Mixed-Scale Context Fusion (MSCF) network for medical image segmentation. First, we introduce a context fusion module between the encoder and decoder, which can fuse multi-level features from the encoder and extract contextual information useful for the segmentation task. Second, we introduce a mixed-scale attention module, it can extract features at different scales by two branches, and learn scale information adapted to the target size using an attention mechanism to enhance the capability of multi-scale feature extraction. We conduct extensive experiments on the LIDC and MSD datasets, where MSCFNet achieves Dice scores of 85.83% and 86.09%, improving over FCN by 8.36% and 6.57%, respectively.

有效的医学图像分割结果对后续的诊断至关重要。基于编码器-解码器结构的全卷积网络及其变体在医学图像分割中取得了优异的性能。尽管近年来取得了一些进展,但对大范围变化和复杂背景的目标进行分割仍然很困难。本文提出了一种用于医学图像分割的混合尺度上下文融合(MSCF)网络。首先,我们在编码器和解码器之间引入上下文融合模块,该模块可以融合编码器的多级特征并提取对分割任务有用的上下文信息。其次,引入混合尺度注意模块,通过两个分支提取不同尺度的特征,利用注意机制学习与目标尺寸相适应的尺度信息,增强多尺度特征提取能力;我们在LIDC和MSD数据集上进行了大量的实验,MSCFNet的Dice得分分别为85.83%和86.09%,比FCN分别提高了8.36%和6.57%。
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引用次数: 0
A cascaded residual vision transformer with wavelet transform and application in behavior recognition 基于小波变换的级联残差视觉变换及其在行为识别中的应用
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-11 DOI: 10.1007/s10489-025-07002-2
Jing-Wei Liu, Hao-Tian Ren, Yu-Ran Du, Jia-Ming Chen, Jing Zhang

Objective

Convolutional Neural Networks (CNNs) have become essential tools for classroom student behavior recognition but lack the capability of global information capturing. In recent years, Vision Transformer (ViT) has demonstrated strong global modeling capabilities, which can be employed to strengthen the multi-level spatial information representation ability of classroom student behavior recognition models.

Methods

First, Cascaded Residual Vision Transformer (CR-ViT) model was proposed. The outputs of residual convolutional layers were integrated into multiple ViT modules to learn both shallow and deep feature representations for multi-level spatial information extraction, followed with the LSTM network for further capturing the global dependency between the sequences of ViT modules. Second, Cascaded Residual Vision Transformer with Morlet wavelet (MCR-ViT) was proposed. Based on CR-ViT, morlet wavelet transform activation layers were employed to improve the sensibility for variations of edges in feature maps.

Results

The proposed methods were validated on our collected dataset named Student Behavior in Classroom (SBIC), as well as the publicly available dataset of Student Classroom Behavior (SCB). The CR-ViT model and the MCR-ViT model improved the accuracy on SBIC by 6.10% and 7.32%, and on SCB by 0.92% and 1.14%. The MCR-ViT with second-order derivative of Morlet wavelet achieved the highest accuracy improvement compared to its variants based on other wavelet.

Conclusion and significance

both CR-ViT and MCR-ViT exhibit superior performance, which can be leveraged to build high-performance student behavior recognition systems in classrooms.

目的卷积神经网络(cnn)已成为课堂学生行为识别的重要工具,但缺乏全局信息捕获能力。近年来,视觉转换器(Vision Transformer, ViT)显示出强大的全局建模能力,可以用来增强课堂学生行为识别模型的多层次空间信息表示能力。方法首先,提出级联残差视觉变压器(CR-ViT)模型。将残差卷积层的输出集成到多个ViT模块中,学习浅层和深层特征表示,进行多层次空间信息提取,然后利用LSTM网络进一步捕获ViT模块序列之间的全局依赖关系。其次,提出了基于Morlet小波的级联残差视觉变压器(MCR-ViT)。在CR-ViT的基础上,采用morlet小波变换激活层提高对特征图边缘变化的敏感性。结果在我们收集的学生课堂行为(SBIC)数据集和公开的学生课堂行为(SCB)数据集上验证了所提出的方法。CR-ViT模型和MCR-ViT模型对SBIC的准确率分别提高6.10%和7.32%,对SCB的准确率分别提高0.92%和1.14%。基于Morlet小波二阶导数的MCR-ViT与基于其他小波的MCR-ViT相比,精度提高最高。结论与意义CR-ViT和MCR-ViT均表现出优异的绩效,可用于构建高性能的课堂学生行为识别系统。
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引用次数: 0
SCWE+: A multi-class imbalanced drifting data stream classification algorithm based on sample difficulty weighting and dynamic ensemble selection SCWE+:基于样本难度加权和动态集合选择的多类不平衡漂移数据流分类算法
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-11 DOI: 10.1007/s10489-026-07129-w
Meng Han, Shineng Zhu, Ang Li, Jian Ding

In data mining research, streaming data analysis has emerged as a critical computational paradigm requiring real-time processing capabilities to ensure temporal relevance and practical applicability. However, dynamic data stream environments commonly exhibit complex challenges including multi-class imbalance phenomena with time-varying distribution ratios, and concept drift characteristics that collectively undermine the stability and accuracy of conventional classification frameworks. To address these interdisciplinary challenges, this study presents SCWE+, an innovative data stream classification algorithm specifically designed for multi-class imbalance scenarios with concept drift adaptation. The methodology comprises three core components: (1) A sample classification difficulty weighting mechanism integrating margin-based sample evaluation with supervised negative margin rescue loss, which strategically enhances model focus on both easily misclassified instances and minority class distributions through adaptive attention allocation; (2) A dynamic ensemble selection framework incorporating adaptive plasticity reward (APR), which implements hierarchical sliding window analysis across sample, class-specific, and difficulty-stratified dimensions to generate context-aware classifier performance evaluations and optimize prediction ensembles through weighted aggregation; (3) An expert validation architecture that constructs class-specialized expert groups by selecting high-performance classifiers from the classifier pool for specific class domains, enabling post-ensemble prediction verification to mitigate misclassification risks in low-confidence predictions. Comprehensive empirical evaluations were conducted across diverse synthetic and real-world data stream benchmarks, demonstrating statistically significant performance improvements compared to nine state-of-the-art data stream classification algorithms under varying imbalance ratios and concept drift scenarios.

在数据挖掘研究中,流数据分析已成为一种关键的计算范式,需要实时处理能力以确保时间相关性和实用性。然而,动态数据流环境通常表现出复杂的挑战,包括具有时变分布比的多类不平衡现象,以及概念漂移特征,这些特征共同破坏了传统分类框架的稳定性和准确性。为了解决这些跨学科的挑战,本研究提出了SCWE+,一种创新的数据流分类算法,专门为多类不平衡场景设计,具有概念漂移适应。该方法包括三个核心部分:(1)将基于边际的样本评价与监督负边际拯救损失相结合的样本分类难度加权机制,通过自适应注意力分配,战略性地增强了模型对易错分类实例和少数类分布的关注;(2)结合自适应可塑性奖励(APR)的动态集成选择框架,该框架在样本、类别和难度分层维度上实现分层滑动窗口分析,生成上下文感知的分类器性能评估,并通过加权聚合优化预测集成;(3)专家验证体系结构,通过从分类器池中为特定的类域选择高性能的分类器来构建类专用的专家组,使后集成预测验证能够降低低置信度预测中的误分类风险。在不同的合成和真实数据流基准上进行了全面的实证评估,在不同的不平衡比率和概念漂移场景下,与九种最先进的数据流分类算法相比,统计上显着的性能改进。
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引用次数: 0
Physics-informed Kolmogorov-Arnold networks with residual-based adaptive distribution for scattered acoustic field prediction 基于残差自适应分布的物理信息Kolmogorov-Arnold网络用于散射声场预测
IF 3.5 2区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2026-03-10 DOI: 10.1007/s10489-026-07180-7
Yi Ren, Ligang Wang, Haitao Ma

Physics-informed neural networks (PINNs) have proven to be a powerful tool for scattering simulation, leveraging physics principles to inform the learning process. When solving the acoustic scattering problem induced by the scatterer, conventional PINNs that rely on multilayer perceptrons (MLP) neglect the inherent acoustic field dependencies, thus failing to propagate globally the scattering characteristics and accurately capture nonlinear features near the scatterer boundary. Researchers often define explicit architectures or increase training parameter counts to capture these dependencies, yet this inevitably introduces either structural constraints or heightened computational costs. In this paper, we propose a novel framework based on the Kolmogorov–Arnold Network (KAN), termed PIKAN, to address this limitation. Leveraging KAN-driven plane wave expansion and the Sine activation function’s efficient plane wave learning capacity, PIKAN effectively captures both global dependencies and fine-grained scattering features in the scattered acoustic field. We evaluate the effectiveness and generalization performance of the PIKAN model across three typical scattering scenarios: high-frequency case, irregular scatterer, and multiple scattering, to validate its practicality. Experiments demonstrate that PIKAN achieves a superior balance between both accuracy and computational efficiency, when compared against state-of-the-art baselines and alternative activation functions. Moreover, integrating with the RAD method enhances the model’s flexibility and further improves its performance.

物理信息神经网络(pinn)已被证明是散射模拟的强大工具,利用物理原理为学习过程提供信息。在求解由散射体引起的声散射问题时,传统的基于多层感知器(multilayer perceptrons, MLP)的pin n忽略了固有的声场依赖关系,无法全局传播散射特性,也无法准确捕捉到散射体边界附近的非线性特征。研究人员经常定义明确的体系结构或增加训练参数计数来捕获这些依赖关系,然而这不可避免地引入了结构约束或提高了计算成本。在本文中,我们提出了一个基于Kolmogorov-Arnold网络(KAN)的新框架,称为PIKAN,以解决这一限制。利用kan驱动的平面波展开和正弦激活函数的高效平面波学习能力,PIKAN有效地捕获了散射声场中的全局依赖性和细粒度散射特征。在高频散射、不规则散射和多次散射三种典型散射情况下,对PIKAN模型的有效性和泛化性能进行了评估,以验证其实用性。实验表明,与最先进的基线和替代激活函数相比,PIKAN在精度和计算效率之间取得了更好的平衡。与RAD方法相结合,增强了模型的灵活性,进一步提高了模型的性能。
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引用次数: 0
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