non-negative matrix factorization

非负矩阵分解
  • 文章类型: Journal Article
    单细胞转录组学的进展为探索复杂的生物过程提供了前所未有的机会。然而,分析单细胞转录组学的计算方法仍有改进的空间,特别是在降维方面,细胞聚类,和小区通信推断。在这里,我们提出了一种通用的方法,名为DcjComm,用于单细胞转录组学的综合分析。DcjComm通过基于非负矩阵分解的联合学习模型检测功能模块以探索表达模式并执行降维和聚类以发现细胞身份。然后,DcjComm通过整合配体-受体对推断细胞-细胞通讯,转录因子,和目标基因。与最先进的方法相比,DcjComm表现出卓越的性能。
    Advances in single-cell transcriptomics provide an unprecedented opportunity to explore complex biological processes. However, computational methods for analyzing single-cell transcriptomics still have room for improvement especially in dimension reduction, cell clustering, and cell-cell communication inference. Herein, we propose a versatile method, named DcjComm, for comprehensive analysis of single-cell transcriptomics. DcjComm detects functional modules to explore expression patterns and performs dimension reduction and clustering to discover cellular identities by the non-negative matrix factorization-based joint learning model. DcjComm then infers cell-cell communication by integrating ligand-receptor pairs, transcription factors, and target genes. DcjComm demonstrates superior performance compared to state-of-the-art methods.
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  • 文章类型: Journal Article
    数据驱动的故障诊断,使用收集的工业数据识别异常原因,是智能行业安全管理的一项具有挑战性的任务。值得注意的是,实际工业数据通常与几种物理属性的混合相关,例如操作环境,产品质量和工作条件。然而,传统模型可能不足以利用相干信息来增强诊断性能,由于其浅层结构。本文提出了一种分层矩阵分解(HMF),它依靠一系列矩阵分解来找到工业数据的有效表示形式进行故障诊断。具体来说,HMF将数据连续分解为多个层次结构。中间层次结构扮演分析操作符的角色,自动学习工业数据的隐含特征;最终层次结构输出高级和区分性特征。此外,HMF也通过引入激活函数以非线性方式扩展,称为NHMF,处理实际工业过程中的非线性。通过多相流过程评估HMF和NHMF在故障诊断中的应用。实验结果表明,我们的模型与所考虑的浅层和深层模型相比,具有竞争力。比深度模型消耗更少的计算时间。
    Data-driven fault diagnosis, identifying abnormality causes using collected industrial data, is one of the challenging tasks for intelligent industry safety management. It is worth noting that practical industrial data are usually related to a mixture of several physical attributes, such as the operating environment, product quality and working conditions. However, the traditional models may not be sufficient to leverage the coherent information for diagnostic performance enhancement, due to their shallow architecture. This paper presents a hierarchical matrix factorization (HMF) that relies on a succession of matrix factoring to find an efficient representation of industrial data for fault diagnosis. Specifically, HMF consecutively decomposes data into several hierarchies. The intermediate hierarchies play the role of analysis operators which automatically learn implicit characteristics of industrial data; the final hierarchy outputs high-level and discriminative features. Furthermore, HMF is also extended in a nonlinear manner by introducing activation functions, referred as NHMF, to deal with nonlinearities in practical industrial processes. The applications of HMF and NHMF to fault diagnosis are evaluated by the multiple-phase flow process. The experimental results show that our models achieve competitive performance against the considered shallow and deep models, consuming less computing time than deep models.
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  • 文章类型: Journal Article
    计算机模拟利用了加速对危险化学品进行生态毒理学评估的优势,而无需在伦理规范下进行危险的体内实验。迄今为止,一个物种的一个模型的普遍策略不能很好地推广到多物种建模。在这项工作中,我们提出了一种针对多个物种的单一模型的新策略,以促进跨水生物种的知识转移。将对651种鱼类的4952种农药的可用致死浓度值汇总到一个毒性响应矩阵中,纯粹通过这种方法,我们试图通过包括非负矩阵分解(NMF)和分层聚类在内的聚类技术来解开鱼类中毒-系统发育关系和农药毒性-结构关系。聚类结果表明,(1)接近的NMF权重表明接近的物种中毒和农药毒性特征;(2)物种中毒模式与物种系统发育关系有关;(3)接近的农药毒性谱表明相似的原子对结构指纹。这些环境、化学和生物见解可用作环保主义者的专业知识,以手动获得有关未经测试的物种/农药的知识。同时为我们从物种系统发育和农药结构的角度建立计算机模型提供了支持。除了揭示毒性反应背后的机制,我们还采用分层交叉验证和外部检验来验证使用NMF预测缺失毒性值的可靠性.外部数据的独立测试表明,NMF在四种鱼类上达到0.8404-0.9397R2。在毒性预测的背景下,非负矩阵分解可以看作是基于定量活动-活动关系(QAAR)的模型,并提供了一种从测试物种推断未测试物种毒性值的替代方法。
    In silico modelling takes the advantage of accelerating ecotoxicological assessments on hazardous chemicals without conducting risky in vivo experiments under ethic regulation. To date, the prevailing strategy of one model for one species cannot be well generalized to multi-species modelling. In this work, we propose a new strategy of one model for multiple species to facilitate knowledge transfer across aquatic species. The available lethal concentration values of 4952 pesticides on 651 fish species are aggregated into one toxicity response matrix, purely through which we attempt to unravel fish toxicosis-phylogenesis relationships and pesticide toxicity-structure relationships via clustering techniques including non-negative matrix factorization (NMF) and hierarchical clustering. The clustering results suggest that (1) close NMF weights indicate close species-toxicosis and pesticide-toxicity profiles; (2) and that species toxicosis patterns are related with species phylogenetic relationships; (3) and that close pesticide-toxicity profiles indicate similar atom-pair structural fingerprints. These environmental, chemical and biological insights can be used as expert knowledge for environmentalists to manually gain knowledge about untested species/pesticides from tested species/pesticides, and meanwhile provide support for us to build in silico models from species phylogenetic and pesticide structural points of view. Besides unravelling the mechanisms behind toxicity response, we also adopt stratified cross validation and external test to validate the reliability of using NMF to predict missing toxicity values. Independent test on external data shows that NMF achieves 0.8404-0.9397 R2 on four fish species. In the context of toxicity prediction, non-negative matrix factorization can be viewed as a model based on quantitative activity-activity relationships (QAAR), and provides an alternative approach of inferring toxicity values on untested species from tested species.
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  • 文章类型: Journal Article
    随着与年龄相关的慢性病患病率的增加,医疗系统的负担,迫切需要创新的管理策略。我们的研究集中在肠道微生物群,对新陈代谢至关重要,营养,和免疫功能,随着年龄的增长而发生重大变化。这些变化会损害肠道功能,导致改变的微生物多样性和组成,可能影响健康结果和疾病进展。使用高级宏基因组测序,我们通过分析297名老年人的肠道微生物群,探索个性化益生菌补充剂的潜力.我们在老年人的肠道微生物群中鉴定了独特的乳杆菌和双歧杆菌特征,揭示与各种种群特征相关的益生菌模式,微生物组成,认知功能,和神经成像结果。这些见解表明,量身定制的益生菌补充剂,旨在匹配个体益生菌特征,可以提供一种解决与年龄有关的疾病和功能下降的创新方法。我们的发现加强了老年人使用益生菌的现有证据基础,强调创造更有针对性和有效的益生菌策略的机会。然而,我们需要更多的研究来验证我们的结果,并进一步评估精准益生菌对老龄化人群的影响.未来的研究应该采用纵向设计和更大的队列,以最终证明定制益生菌治疗的好处。
    With the increasing prevalence of age-related chronic diseases burdening healthcare systems, there is a pressing need for innovative management strategies. Our study focuses on the gut microbiota, essential for metabolic, nutritional, and immune functions, which undergoes significant changes with aging. These changes can impair intestinal function, leading to altered microbial diversity and composition that potentially influence health outcomes and disease progression. Using advanced metagenomic sequencing, we explore the potential of personalized probiotic supplements in 297 older adults by analyzing their gut microbiota. We identified distinctive Lactobacillus and Bifidobacterium signatures in the gut microbiota of older adults, revealing probiotic patterns associated with various population characteristics, microbial compositions, cognitive functions, and neuroimaging results. These insights suggest that tailored probiotic supplements, designed to match individual probiotic profile, could offer an innovative method for addressing age-related diseases and functional declines. Our findings enhance the existing evidence base for probiotic use among older adults, highlighting the opportunity to create more targeted and effective probiotic strategies. However, additional research is required to validate our results and further assess the impact of precision probiotics on aging populations. Future studies should employ longitudinal designs and larger cohorts to conclusively demonstrate the benefits of tailored probiotic treatments.
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  • 文章类型: Journal Article
    透明细胞肾细胞癌(ccRCC)是最常见的肾癌类型,具有高度的异质性和复杂性。最近的研究已经确定线粒体缺陷和自噬是ccRCC发展的关键参与者。本研究旨在探讨ccRCC体内有丝分裂活性的变化及其对肿瘤微环境的影响。揭示其在肿瘤细胞代谢中的作用,发展,和生存策略。
    使用单细胞测序和空间转录组学对ccRCC肿瘤组织进行综合分析,以揭示线粒体自噬在ccRCC中的作用。通过基因集评分确定肾透明细胞中的线粒体自噬发生了改变。使用NMF分析和生存分析方法鉴定关键的线粒体自噬细胞群和关键的预后基因。体外实验也证明了UBB在ccRCC中的作用。
    与正常肾组织相比,ccRCC肿瘤组织内的各种细胞类型表现出显著增加的线粒体自噬水平,尤其是肾透明细胞.与线粒体自噬水平增加相关的关键基因,比如UBC,UBA52,TOMM7,UBB,MAP1LC3B,CSNK2B,被确认,它们的高表达与患者预后不良密切相关。特别是,发现涉及UBB基因的泛素化过程对线粒体自噬及其质量控制至关重要.
    这项研究强调了线粒体自噬及其调节因子在ccRCC发生发展中的核心作用,揭示UBB基因及其相关泛素化过程在疾病进展中的意义。
    UNASSIGNED: Clear Cell Renal Cell Carcinoma (ccRCC) is the most common type of kidney cancer, characterized by high heterogeneity and complexity. Recent studies have identified mitochondrial defects and autophagy as key players in the development of ccRCC. This study aims to delve into the changes in mitophagic activity within ccRCC and its impact on the tumor microenvironment, revealing its role in tumor cell metabolism, development, and survival strategies.
    UNASSIGNED: Comprehensive analysis of ccRCC tumor tissues using single cell sequencing and spatial transcriptomics to reveal the role of mitophagy in ccRCC. Mitophagy was determined to be altered among renal clear cells by gene set scoring. Key mitophagy cell populations and key prognostic genes were identified using NMF analysis and survival analysis approaches. The role of UBB in ccRCC was also demonstrated by in vitro experiments.
    UNASSIGNED: Compared to normal kidney tissue, various cell types within ccRCC tumor tissues exhibited significantly increased levels of mitophagy, especially renal clear cells. Key genes associated with increased mitophagy levels, such as UBC, UBA52, TOMM7, UBB, MAP1LC3B, and CSNK2B, were identified, with their high expression closely linked to poor patient prognosis. Particularly, the ubiquitination process involving the UBB gene was found to be crucial for mitophagy and its quality control.
    UNASSIGNED: This study highlights the central role of mitophagy and its regulatory factors in the development of ccRCC, revealing the significance of the UBB gene and its associated ubiquitination process in disease progression.
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  • 文章类型: Journal Article
    Objective.这项研究旨在揭示上肢肌肉的协同控制如何适应复杂运动任务中的不同要求,以及专业知识如何塑造运动模块。方法。我们研究复合体的肌肉协同作用,高技能和灵活的任务-钢琴演奏-并表征与专业知识相关的肌肉-协同控制,允许专家毫不费力地执行相同的任务在不同的节奏和力量水平。从成年新手(N=10)和专家(N=10)钢琴家那里记录了表面EMG(28块肌肉),因为他们在不同的节奏力组合下演奏鳞片和琶音。肌肉协同作用是从EMGs中分解出来的。主要结果。我们发现,专家能够使用类似的协同选择来覆盖节奏和动态范围,并实现了更好的性能,而与专家相比,新手更多地改变了协同选择以适应变化的节奏和击键强度。两组都依靠在特定的协同作用下微调肌肉重量来完成不同的任务方式,虽然专家们可以在更多的协同作用中调整肌肉,尤其是在改变节奏的时候,在更宽的范围内切换节奏。意义。我们的研究揭示了在需要十年培训的高技能运动任务中,支持与专业知识相关的运动灵活性的控制机制。我们的结果对音乐和运动训练有影响,以及运动假肢设计。
    Objective. This research aims to reveal how the synergistic control of upper limb muscles adapts to varying requirements in complex motor tasks and how expertise shapes the motor modules.Approach. We study the muscle synergies of a complex, highly skilled and flexible task-piano playing-and characterize expertise-related muscle-synergy control that permits the experts to effortlessly execute the same task at different tempo and force levels. Surface EMGs (28 muscles) were recorded from adult novice (N= 10) and expert (N= 10) pianists as they played scales and arpeggios at different tempo-force combinations. Muscle synergies were factorized from EMGs.Main results. We found that experts were able to cover both tempo and dynamic ranges using similar synergy selections and achieved better performance, while novices altered synergy selections more to adapt to the changing tempi and keystroke intensities compared with experts. Both groups relied on fine-tuning the muscle weights within specific synergies to accomplish the different task styles, while the experts could tune the muscles in a greater number of synergies, especially when changing the tempo, and switch tempo over a wider range.Significance. Our study sheds light on the control mechanism underpinning expertise-related motor flexibility in highly skilled motor tasks that require decade-long training. Our results have implications on musical and sports training, as well as motor prosthetic design.
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  • 文章类型: Journal Article
    肌肉协同作用被定义为具有特定激活平衡和时间曲线的肌肉群的协调募集,旨在生成特定任务的运动命令。虽然姿势控制中的肌肉协同作用主要在反应性平衡条件下进行了研究,自主控制直立站立过程中肌肉协同作用的神经力学贡献尚不清楚.在这项研究中,在维持站立姿势期间,在躯干产生等距力的过程中研究了肌肉协同作用。要求参与者保持稳态直立站立姿势,同时在腰部水平方向上施加不同大小的拉力。通过非负矩阵分解从16条下肢和躯干肌肉中提取肌肉协同作用。平均5-6次肌肉协同作用足以解释与拉力的大小和方向变化相关的各种EMG波形。聚类分析根据参与者的相似性将参与者的肌肉协同作用分为一大群群,表示使用肌肉的主观组合来产生站立时的多向力矢量。此外,我们发现了协同振幅系数的余弦方向调整参数值的参与者特定分布,表明存在个体神经机械策略来稳定全身姿势。我们的发现为开发新的诊断工具提供了起点,以评估姿势控制中的肌肉协调性,并为肌肉协同作用在康复中的潜在应用奠定了基础。
    Muscle synergies are defined as coordinated recruitment of groups of muscles with specific activation balances and time profiles aimed at generating task-specific motor commands. While muscle synergies in postural control have been investigated primarily in reactive balance conditions, the neuromechanical contribution of muscle synergies during voluntary control of upright standing is still unclear. In this study, muscle synergies were investigated during the generation of isometric force at the trunk during the maintenance of standing posture. Participants were asked to maintain the steady-state upright standing posture while pulling forces of different magnitudes were applied at the level at the waist in eight horizontal directions. Muscle synergies were extracted by nonnegative matrix factorization from sixteen lower limb and trunk muscles. An average of 5-6 muscle synergies were sufficient to account for a wide variety of EMG waveforms associated with changes in the magnitude and direction of pulling forces. A cluster analysis partitioned the muscle synergies of the participants into a large group of clusters according to their similarity, indicating the use of a subjective combination of muscles to generate a multidirectional force vector in standing. Furthermore, we found a participant-specific distribution in the values of cosine directional tuning parameters of synergy amplitude coefficients, suggesting the existence of individual neuromechanical strategies to stabilize the whole-body posture. Our findings provide a starting point for the development of novel diagnostic tools to assess muscle coordination in postural control and lay the foundation for potential applications of muscle synergies in rehabilitation.
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  • 文章类型: Journal Article
    车辆排放的细颗粒物(PM2.5)与重大的健康结果和环境风险有关。本研究使用新颖的因式分解框架估算了与交通相关的废气排放(TREE)对观察到的PM2.5的贡献。具体来说,共同测量的氮氧化物(NOx)浓度可作为车辆排气管排放的标志,并被整合到非负矩阵分解(NMF)分析的优化中,以指导因子提取。新的TREE-NMF方法应用于两个城市地区空气质量监测(AQM)站的长期(2012-2019年)PM2.5观测。针对共同测量的黑碳(BC)和PM2.5物种评估提取的TREE因子,TREE-NMF优化是盲目的。在第一个位置的AQM站,TREE因子对观察到的PM2.5浓度的贡献与监测的BC数据密切相关(R2=0.79)。在第二个位置,将提取的树木因子与附近的地表颗粒MATter网络(SPARTAN)站的测量值进行比较,发现与通常与燃料燃烧相关的PM2.5物种具有中等相关性,并且与测得的等效BC浓度具有良好的线性回归拟合。第二个位置的TREE因子的估计浓度占AQM站中观察到的PM2.5的7-11%。此外,对已知以交通排放很少为特征的特定日子的分析表明,与交通相关的PM2.5浓度中约有60-78%可归因于颗粒物交通废气排放。本研究中应用的方法在PM2.5形态监测有限的地区具有巨大的潜力,尤其是BC,其结果可能对未来的环境健康研究都有价值,区域辐射强迫估计,并颁布与交通有关的空气污染减排专门法规。
    Vehicle-emitted fine particulate matter (PM2.5) has been associated with significant health outcomes and environmental risks. This study estimates the contribution of traffic-related exhaust emissions (TREE) to observed PM2.5 using a novel factorization framework. Specifically, co-measured nitrogen oxides (NOx) concentrations served as a marker of vehicle-tailpipe emissions and were integrated into the optimization of a Non-negative Matrix Factorization (NMF) analysis to guide the factor extraction. The novel TREE-NMF approach was applied to long-term (2012-2019) PM2.5 observations from air quality monitoring (AQM) stations in two urban areas. The extracted TREE factor was evaluated against co-measured black carbon (BC) and PM2.5 species to which the TREE-NMF optimization was blind. The contribution of the TREE factor to the observed PM2.5 concentrations at an AQM station from the first location showed close agreement (R2=0.79) with monitored BC data. In the second location, a comparison of the extracted TREE factor with measurements at a nearby Surface PARTiculate mAtter Network (SPARTAN) station revealed moderate correlations with PM2.5 species commonly associated with fuel combustion, and a good linear regression fit with measured equivalent BC concentrations. The estimated concentrations of the TREE factor at the second location accounted for 7-11 % of the observed PM2.5 in the AQM stations. Moreover, analysis of specific days known to be characterized by little traffic emissions suggested that approximately 60-78 % of the traffic-related PM2.5 concentrations could be attributed to particulate traffic-exhaust emissions. The methodology applied in this study holds great potential in areas with limited monitoring of PM2.5 speciation, in particular BC, and its results could be valuable for both future environmental health research, regional radiative forcing estimates, and promulgation of tailored regulations for traffic-related air pollution abatement.
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  • 文章类型: Journal Article
    事件相关电位(ERP)可以量化大脑反应,以揭示感官知觉的神经机制。然而,ERP通常反映对多种感官刺激源的非线性混合反应,准确分离对每个刺激的反应仍然是一个挑战。这项研究旨在将ERP分离为特定于个体刺激的非线性混合源组件。我们开发了一种基于混合信号流形结构聚类的无监督学习方法,并结合通道优化,用于使用非负矩阵分解(NMF)进行信号源重建。具体来说,我们首先基于局部切线空间对齐(LTSA)实现流形学习,以提取通过小波包变换分离的多分辨率子信号的空间流形结构。然后,我们使用模糊熵来提取流形结构的动力学过程,并执行k均值聚类以分离不同的源。最后,我们使用NMF来获得多个通道的最佳贡献,以确保准确的源重建。我们使用模拟的ERP数据集评估了我们开发的方法,该数据集具有ERP混合信号的两个组成部分的已知真值。我们的结果表明,重建源信号与真实源信号之间的相关系数为92.8%,ERP幅度的分离精度为91.6%。结果表明,我们的无监督分离方法可以准确地从非线性混合源分量中分离出ERP信号。结果提供了一种有希望的方法来隔离在多感官感知期间对多种刺激源的大脑反应。
    Event-related potentials (ERPs) can quantify brain responses to reveal the neural mechanisms of sensory perception. However, ERPs often reflect nonlinear mixture responses to multiple sources of sensory stimuli, and an accurate separation of the response to each stimulus remains a challenge. This study aimed to separate the ERP into nonlinearly mixed source components specific to individual stimuli. We developed an unsupervised learning method based on clustering of manifold structures of mixture signals combined with channel optimization for signal source reconstruction using non-negative matrix factorization (NMF). Specifically, we first implemented manifold learning based on Local Tangent Space Alignment (LTSA) to extract the spatial manifold structure of multi-resolution sub-signals separated via wavelet packet transform. We then used fuzzy entropy to extract the dynamical process of the manifold structures and performed a k-means clustering to separate different sources. Lastly, we used NMF to obtain the optimal contributions of multiple channels to ensure accurate source reconstructions. We evaluated our developed approach using a simulated ERP dataset with known ground truth of two components of ERP mixture signals. Our results show that the correlation coefficient between the reconstructed source signal and the true source signal was 92.8 % and that the separation accuracy in ERP amplitude was 91.6 %. The results show that our unsupervised separation approach can accurately separate ERP signals from nonlinear mixture source components. The outcomes provide a promising way to isolate brain responses to multiple stimulus sources during multisensory perception.
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  • 文章类型: Journal Article
    细颗粒物(PM2.5)是具有不同性质和来源的气溶胶颗粒的复杂混合物,本地的和遥远的。在缺乏对PM2.5形态进行详细监测的地区,常见的来源分配分析不适用。这项研究展示了一种替代框架,用于估算在无法获得有关颗粒组成的信息时影响观察到的PM2.5浓度的来源和过程。从10个空气质量监测(AQM)站进行了八年(2012-2019年)的半小时PM2.5观测,根据他们的空气质量运输部门进行了聚类分析,使用非负矩阵分解(NMF)。因素是根据它们在时间上的变化来确定的,空间,在气体区之间。采用有监督的机器学习模型可以洞悉提取的因素之间的关系,气象参数和共同测量的空气污染物。通过与附近的表面微粒网络(SPARTAN)站的PM2.5物种测量结果进行比较,评估了因素解释。NMF成功地将背景因素从城市人为活动因素中分离出来,后者约占特拉维夫观察到的PM2.5水平的60%(〜10±6μg/m3)。在PM2.5城市人为活动因子与氮氧化物(NOx)和绝对湿度(AH)的测量值之间观察到正单调关系,代表交通排放和吸湿性增长的影响,分别。发现夏季背景因子代表来自欧洲的远程运输(LRT),显示与硫酸铵浓度的良好一致性(R2=0.81)。我们的结果表明,空间NMF分析可以可靠地估计具有不同成分和特性的不同来源对观测到的PM2.5总量的贡献。使用这样的分析,未来的环境健康研究可以评估与不同PM2.5组分暴露相关的健康风险.这些信息可以帮助决策者设定减少具有特定成分和特性的PM2.5的环境目标。
    Fine particulate matter (PM2.5) is a complex mixture of aerosol particles with varying properties and sources, both local and distant. In areas lacking detailed monitoring of PM2.5 speciation, the common source-apportionment analyses are not applicable. This study demonstrates an alternative framework for estimating sources and processes that affect observed PM2.5 concentrations when information on the particle composition is unavailable. Eight years (2012-2019) of half-hourly PM2.5 observations from 10 air quality monitoring (AQM) stations, clustered according to their airmass transport sector were analyzed, using Non-negative Matrix Factorization (NMF). Factors were determined based on their variation in time, space, and between airmass sectors. Employing a supervised machine-learning model provided insights into the relationships between the extracted factors, meteorological parameters and co-measured airborne pollutants. Factor interpretations were evaluated through comparisons with measurements of PM2.5 species from a nearby Surface PARTiculate mAtter Network (SPARTAN) station. The NMF successfully separated background factors from an urban anthropogenic-activity factor, with the latter accounting for approximately 60 % of the observed PM2.5 levels in Tel Aviv (∼10±6μg/m3). Positive monotonic relationships were observed between the PM2.5 urban anthropogenic-activity factor and measurements of nitrogen oxides (NOx) and absolute humidity (AH), representing the impact of traffic emissions and hygroscopic growth, respectively. The summer background factor was found to represent long-range transport (LRT) from Europe, showing a good agreement (R2 = 0.81) with ammonium sulphate concentrations. Our results demonstrate that a spatial NMF analysis can reliably estimate contributions of different sources with distinct compositions and properties to the total observed PM2.5. Using such an analysis, future environmental health studies could assess health risks associated with exposure to distinct PM2.5 fractions. This information may assist decision makers to set environmental targets for abating PM2.5 with specific compositions and properties.
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