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Moisture content prediction of semen ziziphi spinosae based on hyperspectral images coupled with convolutional neural networks and subregional voting 基于高光谱图像结合卷积神经网络和分区投票的酸枣仁水分预测
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-06-28 DOI: 10.1002/cem.3505
Xiong Li, Yande Liu, Liangfeng Liu, Xiaogang Jiang, Guantian Wang

Deep learning algorithms represented by convolutional neural networks bring new opportunities for spectral analysis technology. Convolutional neural networks are more straightforward than traditional chemometric algorithms for detecting the quality of agricultural products, reducing the procedures of spectral preprocessing and band selection, and with higher prediction accuracy. However, there are few research papers on the relevance of the explanation of the convolutional neural networks model mechanism, and the reader cannot fully understand convolutional neural networks feature learning. In this study, convolutional neural networks combined with the subregional voting method were used to predict the moisture content of semen ziziphi spinosae. Firstly, 10 regions of interest were divided using the subregional voting method, and the results of network models were compared. It was found that the average spectrum of the fifth region of interest had the best prediction of moisture content because it was closest to the central region of semen ziziphi spinosae. Based on this, a convolutional neural network containing three convolutional layers, three pooling layers, and one fully connected layer is proposed. Partial least squares regression, backpropagation neural network, and convolutional neural networks were established to predict the moisture content of semen ziziphi spinosae. The correlation coefficient of the prediction set of the partial least squares regression is 0.98 after the multiplicative scatter correction preprocessed the spectra, and correlation coefficient of the prediction set of the backpropagation neural network is 0.83 after the standard normal variate preprocessed the spectra. The correlation coefficient of the prediction set of the convolutional neural networks established by using the raw spectra reached 0.99. The spectral preprocessing method can improve the prediction set correlation coefficient of partial least squares regression and backpropagation neural network. Still, it will reduce the prediction ability of convolutional neural networks. This study also analyzed the effect of different learning rates on the performance of convolutional neural networks, and it was found that the training loss and training accuracy performed most consistently when the learning rate was 0.01. Secondly, this study also visualized the output feature maps of the three convolutional layers of convolutional neural networks and verified the effectiveness of convolutional neural networks feature band extraction. This study provides new ideas for deep learning in the online detection of seed moisture content.

以卷积神经网络为代表的深度学习算法为频谱分析技术带来了新的机遇。在检测农产品质量方面,卷积神经网络比传统的化学计量算法更简单,减少了光谱预处理和波段选择的过程,并且具有更高的预测精度。然而,关于卷积神经网络模型机制解释的相关性的研究论文很少,读者无法完全理解卷积神经网络的特征学习。本研究采用卷积神经网络结合分区投票法对酸枣仁的水分含量进行了预测。首先,使用次区域投票法对10个感兴趣的区域进行划分,并对网络模型的结果进行比较。研究发现,第五感兴趣区域的平均光谱对水分含量的预测最好,因为它最接近酸枣仁的中心区域。在此基础上,提出了一个包含三个卷积层、三个池化层和一个全连接层的卷积神经网络。建立了偏最小二乘回归、反向传播神经网络和卷积神经网络对酸枣仁水分含量的预测方法。乘性散射校正对谱进行预处理后,偏最小二乘回归预测集的相关系数为0.98,标准正态变量对谱进行前处理后,反向传播神经网络预测集的相关性系数为0.83。利用原始谱建立的卷积神经网络预测集的相关系数达到0.99。谱预处理方法可以提高偏最小二乘回归和反向传播神经网络的预测集相关系数。不过,这将降低卷积神经网络的预测能力。本研究还分析了不同学习率对卷积神经网络性能的影响,发现当学习率为0.01时,训练损失和训练精度表现最为一致。其次,本研究还对卷积神经网络的三个卷积层的输出特征图进行了可视化,验证了卷积神经网络特征带提取的有效性。本研究为种子水分含量在线检测的深度学习提供了新思路。
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引用次数: 0
Shift-invariant tri-linearity—A new model for resolving untargeted gas chromatography coupled mass spectrometry data 移位不变三线性-一种解决非靶向气相色谱耦合质谱数据的新模型
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-06-26 DOI: 10.1002/cem.3501
Paul-Albert Schneide, Rasmus Bro, Neal B. Gallagher

Multi-way data analysis is popular in chemometrics for the decomposition of, for example, spectroscopic or chromatographic higher-order tensor datasets. Parallel factor analysis (PARAFAC) and its extension, PARAFAC2, are extensively employed methods in chemometrics. Applications of PARAFAC2 for untargeted data analysis of hyphenated gas chromatography coupled with mass spectrometric detection (GC-MS) have proven to be very successful. This is attributable to the ability of PARAFAC2 to account for retention time shifts and shape changes in chromatographic elution profiles. Despite its usefulness, the most common implementations of PARAFAC2 are considered quite slow. Furthermore, it is difficult to apply constraints (e.g., non-negativity) to the shifted mode in PARAFAC2 models. Both aspects are addressed by a new shift-invariant tri-linearity (SIT) algorithm proposed in this paper. It is shown on simulated and real GC-MS data that the SIT algorithm is 20–60 times faster than the latest PARAFAC2-alternating least squares (ALS) implementation and the PARAFAC2-flexible coupling algorithm. Further, the SIT method allows the implementation of constraints in all modes. Trials on real-world data indicate that the SIT algorithm compares well with alternatives. The new SIT method achieves better factor resolution than the benchmark in some cases and tends to need fewer latent variables to extract the same chemical information. Although SIT is not capable of modeling shape changes in elution profiles, trials on real-world data indicate the great robustness of the method even in those cases.

多路数据分析在化学计量学中很流行,用于分解光谱或色谱高阶张量数据集。平行因子分析(PARAFAC)及其扩展PARAFAC2是化学计量学中广泛应用的方法。PARAFAC2在联用气相色谱与质谱检测(GC - MS)的非靶向数据分析中的应用已被证明是非常成功的。这是由于PARAFAC2能够解释色谱洗脱剖面中的保留时移和形状变化。尽管它很有用,但大多数常见的PARAFAC2实现被认为相当慢。此外,很难将约束(例如,非负性)应用于PARAFAC2模型中的移位模式。本文提出了一种新的平移不变三线性(SIT)算法来解决这两个问题。模拟和实际GC - MS数据表明,SIT算法比最新的PARAFAC2 -交替最小二乘(ALS)实现和PARAFAC2 -柔性耦合算法快20-60倍。此外,SIT方法允许在所有模式中实现约束。对真实世界数据的试验表明,SIT算法与替代算法相比效果良好。在某些情况下,新的SIT方法比基准方法具有更好的因子分辨率,并且倾向于需要更少的潜在变量来提取相同的化学信息。尽管SIT不能模拟洗脱剖面的形状变化,但对真实世界数据的试验表明,即使在这些情况下,该方法也具有很强的鲁棒性。
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引用次数: 1
Deep electron cloud-activity and field-activity relationships 深电子云-活动和场-活动关系
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-06-22 DOI: 10.1002/cem.3503
Lu Xu, Qin Yang

Chemists have been pursuing general mathematical laws to explain and predict molecular properties for a long time. However, most of the traditional quantitative structure-activity relationship (QSAR) models have limited application domains; for example, they tend to have poor generalization performance when applied to molecules with parent structures different from those of the trained molecules. This paper attempts to develop a new QSAR method that is theoretically possible to predict various properties of molecules with diverse structures. The proposed deep electron cloud-activity relationships (DECAR) and deep field-activity relationships (DFAR) methods consist of three essentials: (1) a large number of molecule entities with activity data as training objects and responses; (2) three-dimensional electron cloud density (ECD) or related field data by the accurate density functional theory methods as input descriptors; and (3) a deep learning model that is sufficiently flexible and powerful to learn the large data described above. DECAR and DFAR are used to distinguish 977 sweet and 1965 non-sweet molecules (with 6-fold data augmentation), and the classification performance is demonstrated to be significantly better than the traditional least squares support vector machine (LS-SVM) models using traditional descriptors. DECAR and DFAR would provide a possible way to establish a widely applicable, cumulative, and shareable artificial intelligence-driven QSAR system. They are likely to promote the development of an interactive platform to collect and share the accurate ECD and field data of millions of molecules with annotated activities. With enough input data, we envision the appearance of several deep networks trained for various molecular activities. Finally, we could anticipate a single DECAR or DFAR network to learn and infer various properties of interest for chemical molecules, which will become an open and shared learning and inference tool for chemists.

长期以来,化学家一直在追求解释和预测分子性质的一般数学定律。然而,大多数传统的定量构效关系模型的应用领域有限;例如,当应用于具有与训练的分子不同的母体结构的分子时,它们往往具有较差的泛化性能。本文试图开发一种新的QSAR方法,该方法在理论上可以预测具有不同结构的分子的各种性质。所提出的深电子云活动关系(DECAR)和深场活动关系(DFAR)方法由三个要素组成:(1)以活动数据为训练对象和响应的大量分子实体;(2) 三维电子云密度(ECD)或相关场数据,通过精确的密度泛函理论方法作为输入描述符;以及(3)深度学习模型,其足够灵活和强大以学习上述大数据。DECAR和DFAR用于区分977个甜分子和1965个非甜分子(数据增加了6倍),其分类性能明显优于使用传统描述符的传统最小二乘支持向量机(LS-SVM)模型。DECAR和DFAR将提供一种可能的方式来建立一个广泛适用、累积和可共享的人工智能驱动的QSAR系统。它们可能会促进交互式平台的开发,以收集和共享数百万具有注释活性的分子的准确ECD和现场数据。有了足够的输入数据,我们设想出现几个为各种分子活动训练的深度网络。最后,我们可以预期一个单一的DECAR或DFAR网络来学习和推断化学分子的各种感兴趣的性质,这将成为化学家开放和共享的学习和推断工具。
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引用次数: 0
Utilization of ultraviolet-visible spectrophotometry in conjunction with wrapper method and correlated component regression for nitrite prediction outside the Beer–Lambert domain 紫外-可见分光光度法结合包装法和相关成分回归法预测比尔-兰伯特域外的亚硝酸盐
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-06-22 DOI: 10.1002/cem.3502
Meryem NINI, El Mati Khoumri, Omar Ait Layachi, Mohamed Nohair

The determination of nitrite concentration is crucial due to its toxicity. A novel model has been developed to accurately determine nitrite concentration within the non-linear range, utilizing the Zambelli method. Previously, techniques for measure nitrite concentration were primarily restricted to the linear range. This new method employs UV-Visible absorption spectra and correlated component regression (CCR) to determine nitrite concentration within the range of 0.27–11.34 ppm. A wavelength selection strategy in conjunction with partial least squares (PLS) was implemented prior to applying CCR. The spectral data underwent pre-processing using standard normal variant (SNV) and Savitzky Golay (SG) techniques, and a backward selection (BS) strategy with PLS was applied to select wavelengths. The 15 most sensitive wavelengths, determined through the RMSECV criterion, were utilized to create a PLS model within the range 377–497 nm, resulting in a model with R2C = 0.9999 and R2CV = 0.9999, RMSEC = 0.006, RMSECV = 0.027. A CCR model was then established using the 15selected wavelengths and nitrite concentration. The results yielded strong correlation between predicted and measured nitrite values with R2C = 0.9996, RMSEC = 4.7491 E-15, RMSECV = 0.0004, and MAPE = 0.68%. The method has been validated through an accuracy profile, which demonstrates that 80% of future results will fall within the 10% acceptability limit within the validation range of 1.30–8.83 mg/L.

亚硝酸盐浓度的测定由于其毒性而至关重要。利用Zambelli方法,开发了一种新的模型来准确测定非线性范围内的亚硝酸盐浓度。以前,测量亚硝酸盐浓度的技术主要局限于线性范围。这种新方法采用紫外-可见吸收光谱和相关成分回归(CCR)来确定0.27–11.34范围内的亚硝酸盐浓度 ppm。在应用CCR之前,实施了与偏最小二乘(PLS)相结合的波长选择策略。使用标准正态变量(SNV)和Savitzky Golay(SG)技术对光谱数据进行预处理,并应用PLS的后向选择(BS)策略来选择波长。通过RMSECV标准确定的15个最敏感的波长用于创建377–497范围内的PLS模型 nm,产生具有R2C的模型 = 0.9999和R2CV = 0.9999,RMSEC = 0.006,RMSECV = 0.027。然后使用15个选定的波长和亚硝酸盐浓度建立CCR模型。结果表明,预测和测量的亚硝酸盐值与R2C之间存在很强的相关性 = 0.9996,RMSEC = 4.7491 E‐15,RMSECV = 0.0004和MAPE = 0.68%。该方法已通过准确度曲线进行了验证,该曲线表明,在1.30-8.83的验证范围内,80%的未来结果将在10%的可接受限度内 mg/L。
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引用次数: 0
Advancements in multivariate analysis of variance 多元方差分析的进展
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-06-15 DOI: 10.1002/cem.3504
Ingrid Måge, Federico Marini

The Journal of Chemometrics is pleased to announce a special issue focused on multivariate analysis of data from designed experiments. ANOVA (Analysis of Variance) is the standard method for analyzing data from experimental designs. The classical ANOVA methods are however univariate and do not handle multiple collinear response variables. Designed experiments with multivariate outputs are prevalent across various scientific disciplines, necessitating methods that appropriately consider both the experimental design and the multivariate nature of the data.

Several multivariate ANOVA techniques have been presented already. The most prevalent approaches involve combining ANOVA with PCA (principal component analysis) or other exploratory component-based techniques in different ways. Some commonly used methods in this context include ASCA, ANOVA-PCA, AComDim, and fifty-fifty MANOVA. These methods integrate ANOVA and PCA in different ways to extract meaningful information from multivariate data. Additionally, there are alternative methods that replace PCA with partial least squares (PLS) regression, which allows for the utilization of PLS-specific validation and variable importance routines. One major advantage of all these methods is that they not only offer interpretation and variable importance metrics from latent variable-based methods but also provide estimates of multivariate effect sizes accompanied by corresponding significance testing.

Despite the progress made in recent years, the field of multivariate analysis of data from designed experiments is still young. Several open questions remain unanswered, and there is a need to make the methodology available to a broader audience. The aim of this special issue was therefore to stimulate and explore advances in methods, applications, and software for multivariate ANOVA.

The collection of papers includes methodical improvements, practical applications, a tutorial, and a software demonstration. Application areas range from spectroscopic control of fermentation processes to metabolomics and gene expressions. Overall, this issue showcases the power and applicability of multivariate ANOVA methods in a wide range of domains.

《化学计量学杂志》很高兴地宣布了一期特刊,重点关注设计实验数据的多元分析。方差分析(ANOVA)是分析实验设计数据的标准方法。然而,经典的方差分析方法是单变量的,不处理多个共线响应变量。具有多变量输出的设计实验在各个科学学科中普遍存在,因此需要适当考虑实验设计和数据的多变量性质的方法。已经提出了几种多元方差分析技术。最流行的方法包括将ANOVA与PCA(主成分分析)或其他探索性的基于成分的技术以不同的方式相结合。在这种情况下,一些常用的方法包括ASCA、ANOVA-PCA、AComDim
{"title":"Advancements in multivariate analysis of variance","authors":"Ingrid Måge,&nbsp;Federico Marini","doi":"10.1002/cem.3504","DOIUrl":"10.1002/cem.3504","url":null,"abstract":"<p>The Journal of Chemometrics is pleased to announce a special issue focused on multivariate analysis of data from designed experiments. ANOVA (Analysis of Variance) is the standard method for analyzing data from experimental designs. The classical ANOVA methods are however univariate and do not handle multiple collinear response variables. Designed experiments with multivariate outputs are prevalent across various scientific disciplines, necessitating methods that appropriately consider both the experimental design and the multivariate nature of the data.</p><p>Several multivariate ANOVA techniques have been presented already. The most prevalent approaches involve combining ANOVA with PCA (principal component analysis) or other exploratory component-based techniques in different ways. Some commonly used methods in this context include ASCA, ANOVA-PCA, AComDim, and fifty-fifty MANOVA. These methods integrate ANOVA and PCA in different ways to extract meaningful information from multivariate data. Additionally, there are alternative methods that replace PCA with partial least squares (PLS) regression, which allows for the utilization of PLS-specific validation and variable importance routines. One major advantage of all these methods is that they not only offer interpretation and variable importance metrics from latent variable-based methods but also provide estimates of multivariate effect sizes accompanied by corresponding significance testing.</p><p>Despite the progress made in recent years, the field of multivariate analysis of data from designed experiments is still young. Several open questions remain unanswered, and there is a need to make the methodology available to a broader audience. The aim of this special issue was therefore to stimulate and explore advances in methods, applications, and software for multivariate ANOVA.</p><p>The collection of papers includes methodical improvements, practical applications, a tutorial, and a software demonstration. Application areas range from spectroscopic control of fermentation processes to metabolomics and gene expressions. Overall, this issue showcases the power and applicability of multivariate ANOVA methods in a wide range of domains.</p>","PeriodicalId":15274,"journal":{"name":"Journal of Chemometrics","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cem.3504","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43987411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New editors on Journal of Chemometrics 化学计量学杂志新编辑
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-05-30 DOI: 10.1002/cem.3500
Cyril Ruckebusch

I am greatly honored to have been selected as the new Editor-in-Chief of Journal of Chemometrics. I am pleased and enthusiastic to contribute to the history of a journal that has been around since the very early days of chemometrics, and I will do my best to drive it into new developments.

I would like to express my warm and sincere thanks to the outgoing Editor-in-Chief, Age Smilde, for his contribution, leadership and confidence, and my deepest gratitude to Ru Qin Yu who has for many years very actively and served with dedication the Journal as Editor. Building upon the legacy and tradition of my renowned predecessors, and on the significant progress made over the past few years under Age's editorship, I will strive to maintain the excellence of Journal of Chemometrics, attracting impactful papers and disseminating new information in our field.

With Anna de Juan from the University of Barcelona and Hailong Wu from the University of Hunan, the Journal welcomes two new Editors who will complete an engaged team of worldwide international experts serving as members of the editorial and advisory boards. Without losing our identity, we will work to address new trends in data science in chemistry and identify challenging applications of chemometrics. We will continue to expand the space for topical publications, to solicit the best scientific findings through tutorials, perspective papers and feature issues from authors investigating new topics towards novel frontiers, attracting young researches and recognizing their early work. We will also increase our efforts to establish and implement reproducible research and data accessibility. With the help of a dedicated Wiley managing team, the publication cycle will be improved. Authors will continue benefiting from helpful feedback provided by a broad pool of highly competent and dedicated reviewers, who are the pillars of the journal's high quality and reputation. We greatly value their commitment to the journal.

With the aim of enduring the success of Journal of Chemometrics, we will always welcome your comments, suggestions and feedback.

I look forward to interacting with you on a Chemometric occasion.

我非常荣幸被选为Journal of Chemometrics的新任主编。我很高兴也很热情地为一本从化学计量学的早期就存在的杂志的历史做出贡献,我将尽我所能推动它进入新的发展。我要对即将离任的总编辑Age Smilde的贡献、领导和信心表示热烈而诚挚的感谢,并对多年来积极奉献的《华尔街日报》总编辑Ru Qin Yu表示最深切的感谢。在我的著名前任的遗产和传统的基础上,以及在过去几年中在Age的编辑下取得的重大进展,我将努力保持《化学计量学杂志》的卓越,吸引有影响力的论文,并在我们的领域传播新的信息。《华尔街日报》迎来了来自巴塞罗那大学的Anna de Juan和来自湖南大学的吴海龙两位新编辑,他们将组成一个由全球国际专家组成的编辑和顾问团队。在不失去我们的身份的情况下,我们将努力解决化学数据科学的新趋势,并确定化学计量学的挑战性应用。我们将继续扩大专题出版物的空间,通过作者探索新领域的新主题,吸引年轻研究人员并认可他们的早期工作,通过教程,观点论文和特刊征集最佳科学发现。我们还将加大努力,建立和实施可重复的研究和数据可及性。在专门的Wiley管理团队的帮助下,出版周期将得到改善。作者将继续受益于一大批高素质、敬业的审稿人提供的有益反馈,他们是期刊高质量和声誉的支柱。我们非常重视他们对杂志的承诺。为了让《化学计量学杂志》再创辉煌,我们将永远欢迎您的评论、建议和反馈。我期待着在化学计量学的场合与你们交流。
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引用次数: 0
Description of the short communication “Is core consistency a too conservative diagnostic?” 简短交流的描述“核心一致性是不是过于保守的诊断?”
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-05-16 DOI: 10.1002/cem.3484
Helene Fog Froriep Halberg, Marta Bevilacqua, Åsmund Rinnan
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引用次数: 0
Dedicated to Edmund R. Malinowski. Secondary, model-based examination of model-free analysis results: Making the most of soft-modelling outcomes 献给埃德蒙·r·马林诺夫斯基。其次,对无模型分析结果进行基于模型的检查:充分利用软建模结果
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-05-13 DOI: 10.1002/cem.3498
Marcel Maeder

Edmund R. Malinowski is well known for his factor analysis-based work; he is clearly less well known for his chemical model-based analyses of chemical data. In this contribution, we discuss the, at the time innovative, idea of subjecting the primary model-free analysis results to a secondary quantitative model-based evaluation. Two examples from his research serve as illustrations: the complexation of Cu2+ with cyclodextrin and the dimerisation and trimerisation of methylene blue. In both examples, the spectrophotometric titration data are first analysed by window factor analysis, WFA, resulting in the concentration profiles. These primary, model-free results allowed Malinowski to gain qualitative insight in the chemical processes. Additional quantitative analyses of the concentration profiles, based on the previously obtained reaction model, resulted in the numerical values of the underlying equilibrium constants. This contribution relates and compares this methodology with alternative ways of analysing the same data.

Edmund R. Malinowski以其基于因子分析的工作而闻名;他对化学数据的基于化学模型的分析显然不太出名。在这篇文章中,我们讨论了一种创新的想法,即将主要的无模型分析结果置于基于模型的二次定量评估中。他研究中的两个例子可以作为说明:Cu2+与环糊精的络合和亚甲基蓝的二聚化和三聚化。在这两个例子中,分光光度滴定数据首先通过窗口因子分析(WFA)进行分析,从而得到浓度分布。这些原始的、无模型的结果使Malinowski能够在化学过程中获得定性的见解。根据先前得到的反应模型,对浓度分布进行了进一步的定量分析,得出了潜在平衡常数的数值。这一贡献将这种方法与分析相同数据的其他方法联系起来并进行了比较。
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引用次数: 0
Is core consistency a too conservative diagnostic? 核心一致性诊断是否过于保守?
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-04-24 DOI: 10.1002/cem.3483
Helene Fog Froriep Halberg, Marta Bevilacqua, Åsmund Rinnan

Fluorescence spectroscopy combined with parallel factor analysis (PARAFAC) has successfully been applied for the analysis of food and beverages containing numerous autofluorescent compounds. For the decomposition of such data, it is crucial to establish the PARAFAC model complexity. This is not a trivial matter, especially when the sample complexity increases. Diagnostics are available for assisting the choice of the number of PARAFAC components, such as the core consistency. In this short communication, we show that when it comes to real (complex) data, the core consistency is too conservative and other diagnostic tools must be taken into account. We emphasize that it is imperative to inspect the PARAFAC excitation and emission loadings and assess whether these are chemically meaningful.

荧光光谱与平行因子分析(PARAFAC)相结合已成功应用于含有大量自身荧光化合物的食品和饮料的分析。对于此类数据的分解,建立PARAFAC模型的复杂性至关重要。这不是一件小事,尤其是当样本复杂性增加时。诊断可用于帮助选择PARAFAC组件的数量,例如核心一致性。在这次简短的交流中,我们表明,当涉及到真实(复杂)数据时,核心一致性过于保守,必须考虑其他诊断工具。我们强调,必须检查PARAFAC的激发和发射负载,并评估这些负载是否具有化学意义。
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引用次数: 1
limpca: An R package for the linear modeling of high-dimensional designed data based on ASCA/APCA family of methods limpca:一个基于ASCA/APCA系列方法的高维设计数据线性建模的R软件包
IF 2.4 4区 化学 Q1 Mathematics Pub Date : 2023-04-16 DOI: 10.1002/cem.3482
Michel Thiel, Nadia Benaiche, Manon Martin, Sébastien Franceschini, Robin Van Oirbeek, Bernadette Govaerts

Many modern analytical methods are used to analyze samples issued from an experimental design, for example, in medical, biological, chemical, or agronomic fields. Those methods generate most of the time, highly multivariate data like spectra or images, where the number of variables (descriptor responses) tends to be much larger than the number of experimental units. Therefore, multivariate statistical tools are necessary to identify variables that are consistently affected by experimental factors. In this context, two recent methods combining ANOVA and PCA, namely, ASCA (ANOVA-Simultaneous Component Analysis) and APCA (ANOVA-Principal Component Analysis), were developed. They provide powerful visualization tools for multivariate structures in the space of each effect of the statistical model linked to the experimental design. Their main limitation is that they produce biased estimators of the factor effects when the design of experiment is unbalanced. This article presents the R package limpca (for linear models with principal component effects analysis) that implements ASCA+ and APCA+, an enhanced version of ASCA and APCA methods based on several principles from the theory of general linear models (GLM). In this paper, the methodology is reviewed, the package structure and functions are presented, and a metabolomics data set is used to clearly demonstrate the potential of ASCA+ and APCA+ methods to highlight true biomarkers corresponding to effects of interest in unbalanced designs.

许多现代分析方法用于分析从实验设计中发出的样本,例如,在医学、生物、化学或农学领域。这些方法在大多数情况下生成高度多元的数据,如光谱或图像,其中变量的数量(描述符响应)往往远大于实验单元的数量。因此,有必要使用多变量统计工具来识别持续受实验因素影响的变量。在这种情况下,开发了两种结合ANOVA和PCA的最新方法,即ASCA(ANOVA‐同时成分分析)和APCA(ANOVA-主成分分析)。它们为与实验设计相关的统计模型的每个效应空间中的多元结构提供了强大的可视化工具。它们的主要局限性在于,当实验设计不平衡时,它们会产生因子效应的有偏估计。本文介绍了R包limpca(用于具有主成分效应分析的线性模型),它实现了ASCA+和APCA+,这是ASCA和APCA方法的增强版本,基于一般线性模型(GLM)理论的几个原理。本文综述了该方法,介绍了包装结构和功能,并使用代谢组学数据集来清楚地证明ASCA+和APCA+方法的潜力,以突出与不平衡设计中感兴趣的效果相对应的真实生物标志物。
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引用次数: 0
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Journal of Chemometrics
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