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A new sub-class linear discriminant for miniature spectrometer based food analysis 用于基于微型光谱仪的食品分析的新型子类线性判别器
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-05-04 DOI: 10.1016/j.chemolab.2024.105136
Omar Nibouche , Fayas Asharindavida , Hui Wang , Jordan Vincent , Jun Liu , Saskia van Ruth , Paul Maguire , Enayet Rahman

The well-known and extensively studied Linear Discriminant Analysis (LDA) can have its performance lowered in scenarios where data is not homoscedastic or not Gaussian. That is, the classical assumptions when LDA models are built are not applicable, and consequently LDA projections would not be able to extract the needed features to explain the intrinsic structure of data and for classes to be separated. As with many real word data sets, data obtained using miniature spectrometers can suffer from such drawbacks which would limit the deployment of such technology needed for food analysis. The solution presented in the paper is to divide classes into subclasses and to use means of sub classes, classes, and data in the suggested between classes scatter metric. Further, samples belonging to the same subclass are used to build a measure of within subclass scatterness. Such a solution solves the shortcoming of the classical LDA. The obtained results when using the proposed solution on food data and on general machine learning datasets show that the work in this paper compares well to and is very competitive with similar sub-class LDA algorithms in the literature. An extension to a Hilbert space is also presented; and the kernel version of the presented solution can be fused with its linear counter parts to yield improved classification rates.

众所周知并被广泛研究的线性判别分析(LDA),在数据非同态或非高斯的情况下,其性能可能会降低。也就是说,建立 LDA 模型时的经典假设并不适用,因此 LDA 预测将无法提取所需的特征来解释数据的内在结构,也无法区分类别。与许多实词数据集一样,使用微型光谱仪获得的数据也可能存在此类缺陷,这将限制食品分析所需的此类技术的应用。本文提出的解决方案是将类分为子类,并在建议的类间散度指标中使用子类、类和数据的手段。此外,还使用属于同一子类的样本来建立子类内散度度量。这种解决方案解决了经典 LDA 的缺陷。在食品数据和一般机器学习数据集上使用提出的解决方案所获得的结果表明,本文的研究成果与文献中类似的子类 LDA 算法相比,具有很强的竞争力。本文还介绍了向希尔伯特空间的扩展;所提出解决方案的核版本可与其线性对应部分融合,以提高分类率。
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引用次数: 0
Experimental-based groundwater salinization from the carbonate aquifer of eastern Saudi Arabia: Insight into machine learning coupled with meta-heuristic algorithms 基于实验的沙特阿拉伯东部碳酸盐含水层地下水盐碱化:洞察机器学习与元启发式算法的结合
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-05-01 DOI: 10.1016/j.chemolab.2024.105135
Mohammed Benaafi , Sani I. Abba , Mojeed Opeyemi Oyedeji , Auwalu Saleh Mubarak , Jamilu Usman , Isam H. Aljundi

Groundwater (GW) salinization of coastal aquifers has become a serious problem for attaining sustainable water resource management in Saudi Arabia and other parts of the world. Therefore, it is crucial to assess the extent of this salinization to protect and manage our water resources effectively. This research proposed real fieldwork GW samples at several locations supported with experimental based on chromatography (IC) and inductively coupled plasma mass spectrometry (ICP-MS) to analyze several GW physical, chemical, and hydro-geochemical elements. In this study, we model GW salinization with machine learning algorithms such as support vector regression, gaussian process regression, artificial neural networks, and least squares ensemble boosting regression tree. The performance of the standalone models was optimized with metaheuristic optimization-based algorithms such as fuzzy hybridized genetic algorithm (ANFIS-GA) and particle swarm optimization (ANFIS-PSO). The outcomes based on three variable input combinations were validated using several performance indicators and graphical methods. The quantitative analysis indicated that GPR-Combo1(MAE = 0.006 mg/L), Ensm- Combo2 (MAE = 0.025 mg/L), and GPR- Combo3 (MAE = 0.078 mg/L) proved merit among the standalone combinations. Where combo 1, 2, and 3 stand for model combinations derived from feature selection. The cumulative probability function (CPF) demonstrated that heuristic optimization ANFIS-GA (MAE = 0.0025 mg/L, MAPE = 0.19183) and ANFIS-PSO (MAE = 0.0018 mg/L, MAPE = 0.0723) outperformed the standalone error accuracy and served reliable approach. Both the standalone models and heuristic algorithms used for GW salinization modeling have demonstrated promising results in accurately predicting salinity. This approach could aid in effectively managing the GW resources for sustainable development.

沿海含水层的地下水(GW)盐碱化已成为沙特阿拉伯和世界其他地区实现可持续水资源管理的一个严重问题。因此,评估这种盐碱化的程度对于有效保护和管理我们的水资源至关重要。本研究建议在多个地点对地下水样本进行实地考察,并在色谱法(IC)和电感耦合等离子体质谱法(ICP-MS)的实验支持下,对地下水的物理、化学和水文地质化学元素进行分析。在本研究中,我们利用支持向量回归、高斯过程回归、人工神经网络和最小二乘集合提升回归树等机器学习算法对全球大气盐碱化进行建模。利用基于元启发式优化的算法,如模糊混合遗传算法(ANFIS-GA)和粒子群优化(ANFIS-PSO),对独立模型的性能进行了优化。使用多个性能指标和图形方法对基于三个变量输入组合的结果进行了验证。定量分析表明,GPR-Combo1(MAE = 0.006 mg/L)、Ensm- Combo2(MAE = 0.025 mg/L)和 GPR- Combo3(MAE = 0.078 mg/L)在独立组合中表现优异。其中组合 1、2 和 3 代表从特征选择中得出的模型组合。累积概率函数(CPF)表明,启发式优化 ANFIS-GA(MAE = 0.0025 mg/L,MAPE = 0.19183)和 ANFIS-PSO(MAE = 0.0018 mg/L,MAPE = 0.0723)的误差精度优于独立模型,是可靠的方法。用于全球水域盐渍化建模的独立模型和启发式算法在准确预测盐度方面都取得了可喜的成果。这种方法有助于有效管理全球水域资源,实现可持续发展。
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引用次数: 0
On the factor ambiguity of MCR problems for blockwise incomplete data sets 论块状不完整数据集 MCR 问题的因子模糊性
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-04-27 DOI: 10.1016/j.chemolab.2024.105134
Martina Beese , Tomass Andersons , Mathias Sawall , Cyril Ruckebusch , Adrián Gómez-Sánchez , Robert Francke , Adrian Prudlik , Robert Franke , Klaus Neymeyr

Multivariate curve resolution (MCR) methods are sometimes faced with missing or erroneous data, e.g., due to sensor saturation. In some cases, an estimation of the missing data is possible, but often MCR works with the largest submatrix without missing entries. This ignores all rows and columns of the data matrix that contain missing values. A successful approach to deal with incomplete data multisets has been proposed by Alier and Tauler (2013), but it does not include a factor ambiguity analysis. Here, the missing data problem is addressed in combination with a factor ambiguity analysis. An approach is presented that minimizes the factor ambiguity by extracting a maximum of spectral information even from incomplete rows and columns of the spectral data matrix. The method requires a high signal-to-noise ratio. Applications are presented for UV/Vis and HSI data.

多变量曲线解析(MCR)方法有时会遇到数据缺失或错误的情况,例如由于传感器饱和。在某些情况下,可以对缺失数据进行估算,但 MCR 通常使用最大的无缺失条目的子矩阵。这就忽略了数据矩阵中包含缺失值的所有行和列。Alier 和 Tauler(2013 年)提出了一种处理不完整数据多集的成功方法,但其中不包括因子模糊性分析。在这里,缺失数据问题将结合因子模糊性分析来解决。本文提出了一种方法,即使从光谱数据矩阵不完整的行和列中提取最大的光谱信息,也能最大限度地减少因子模糊性。该方法需要较高的信噪比。介绍了 UV/Vis 和 HSI 数据的应用。
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引用次数: 0
Addressing adulteration challenges of dried oregano leaves by NIR HyperSpectral Imaging 利用近红外超光谱成像技术解决牛至干叶掺假问题
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-04-23 DOI: 10.1016/j.chemolab.2024.105133
Veronica Ferrari , Rosalba Calvini , Camilla Menozzi , Alessandro Ulrici , Marco Bragolusi , Roberto Piro , Alessandra Tata , Michele Suman , Giorgia Foca

Dried oregano leaves are particularly prone to adulteration because of their widespread distribution and their easy mixing with leaves of other plants of lower commercial value, such as olive, myrtle, strawberry tree, or sumac. To reveal the presence of adulteration, in this study we considered an untargeted analytical approach, which instead of involving the a priori selection of specific compounds of interest is focused on defining the characteristic spectral signature of authentic oregano with respect to its most frequent adulterants. NIR HyperSpectral Imaging (NIR-HSI) represents a state-of-the-art, rapid and non-destructive technique, allowing for the collection of both spectral and spatial information from the sample, making it particularly suitable for characterizing visually heterogeneous samples.

Authentication issues are typically assessed through class modelling techniques and Soft Independent Modelling of class Analogy (SIMCA) is one of the most used algorithms in this scenario. However, the high variability and heterogeneity within the authentic oregano class resulted in poor outcomes when SIMCA was applied. As an alternative, Soft Partial Least Squares Discriminant Analysis (Soft PLS-DA) algorithm was applied to differentiate authentic oregano samples from pure adulterants. Soft PLS-DA represents a hybrid approach that combines the advantages of both discriminant and class modelling techniques. The resultant classification model has indeed led to promising results, achieving a prediction efficiency of 92.9 %. Finally, based on the percentage of pixels predicted as oregano in the Soft-PLSDA prediction images, a threshold value of 10 % was established, serving as a detection limit of NIR-HSI to distinguish authentic oregano samples from adulterated ones.

牛至干叶特别容易掺假,因为它们分布广泛,很容易与其他商业价值较低的植物(如橄榄、桃金娘、草莓树或苏木)的叶子混在一起。为了揭示掺假现象的存在,我们在本研究中采用了一种非靶向分析方法,这种方法不涉及先验地选择特定的相关化合物,而是侧重于确定真品牛至与最常见掺假物的光谱特征。近红外超光谱成像(NIR-HSI)是一种先进、快速和非破坏性的技术,可以收集样品的光谱和空间信息,因此特别适用于描述视觉异质样品的特征。然而,在应用 SIMCA 时,真品牛至类别内的高变异性和异质性导致结果不佳。作为替代方案,我们采用了软偏最小二乘法判别分析(Soft PLS-DA)算法来区分牛至真品和纯掺假品。软偏最小二乘判别分析是一种混合方法,结合了判别技术和类别建模技术的优点。由此产生的分类模型确实取得了可喜的成果,预测效率达到 92.9%。最后,根据软 PLS-DA 预测图像中被预测为牛至的像素百分比,确定了 10% 的阈值,作为近红外-高光谱仪的检测限,以区分真假牛至样品。
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引用次数: 0
Application of ANN, hypothesis testing and statistics to the adsorptive removal of toxic dye by nanocomposite 将 ANN、假设检验和统计学应用于纳米复合材料对有毒染料的吸附去除
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-04-23 DOI: 10.1016/j.chemolab.2024.105132
Thamraa Alshahrani , Ganesh Jethave , Anil Nemade , Yogesh Khairnar , Umesh Fegade , Monali Khachane , Amir Al-Ahmed , Firoz Khan

Statistics can be used in a variety of ways to present, compute, and critically analyze experimental data. To determine the significance and validity of the experimental data, a variety of statistical tests are used. Using a synthesized CoO/NiO/MnO2 Nanocomposite, the present study used adsorption to remove the dye Bromophenol Blue (BPB) from a contaminated aqueous solution. In order to (a) determine the optimal pH of the solution, (b) confirm the experiment's success, and (c) investigate the effect of adsorbent dose on BPB dye removal from aqueous solutions. The experimental data were statistically analyzed through hypothesis testing using the t-test, paired t-test, and Chi-square test. The null hypothesis that the optimal pH value is 7 is accepted since tobserved (−1.979)<ttabulated (−2.262). Since χ2observed (1.052)< χ2tabulated (3.841), null hypothesis that the higher adsorbent dose helps in higher % removal of dye is accepted. Both the obtained Freundlich adsorption isotherm and the Langmuir isotherm's R2 values, which were both close to 1, indicate that the isotherms are favorable. Karl Pearson's relationship coefficient values for Langmuir and Freundlich adsorption isotherms found to be 0.9693 and 0.9994 respectively, which show a more significant level of connection between's the factors. The ANN model predicted adsorption percentage with regression value R is 0.996. ANN model result predict 99.60 % BPB dye adsorption using optimized parametric conditions. The ANN model produced values that were more precise, reliable, and reproducible, demonstrating its superiority.

统计可以通过多种方式用于呈现、计算和批判性分析实验数据。为了确定实验数据的意义和有效性,需要使用多种统计检验方法。本研究使用合成的 CoO/NiO/MnO2 纳米复合材料吸附去除受污染水溶液中的染料溴酚蓝 (BPB)。目的是:(a)确定溶液的最佳 pH 值;(b)确认实验成功;(c)研究吸附剂剂量对从水溶液中去除 BPB 染料的影响。使用 t 检验、配对 t 检验和卡方检验对实验数据进行假设检验和统计分析。由于 tbserved (-1.979)<ttabulated (-2.262),接受了最佳 pH 值为 7 的零假设。由于观测到的 χ2 为(1.052)< χ2tabulated 为(3.841),因此接受了 "吸附剂剂量越大,染料去除率越高 "的零假设。所得到的 Freundlich 吸附等温线和 Langmuir 等温线的 R2 值均接近 1,表明等温线是有利的。朗缪尔吸附等温线和弗赖恩德利希吸附等温线的卡尔-皮尔逊关系系数值分别为 0.9693 和 0.9994,这表明这两个因素之间存在着较为显著的联系。ANN 模型预测的吸附率回归值 R 为 0.996。在优化参数条件下,ANN 模型预测的 BPB 染料吸附率为 99.60%。ANN 模型得出的数值更加精确、可靠和可重现,显示了其优越性。
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引用次数: 0
Physics-guided graph learning soft sensor for chemical processes 用于化学过程的物理引导图学习软传感器
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-04-18 DOI: 10.1016/j.chemolab.2024.105131
Yi Liu , Mingwei Jia , Danya Xu , Tao Yang , Yuan Yao

The surge in data-driven soft sensors for industrial processes is evident. However, most of them suffer from the limitation of being black-box models and this will hamper their widespread use. In response to this challenge, this study proposes a physics-guided graph-learning soft sensor that integrates a physical understanding of industrial processes by incorporating graph-based concepts with process physics. The soft sensor first constructs physical information based on causal relationships between variables using the conditional Granger causality test. Subsequently, it autonomously learns the unique sample information of each observation while employing a regularization loss to ensure the sparsity of the learned information. The model employs a two-stream structure for spatiotemporal encoding of both the physical and sample information. The modeling and prediction results on a penicillin fermentation process indicate that, using the proposed method, the knowledge gained from the data aligns with existing prior knowledge. This approach shows promise in filling the gap between data-driven and physics-based modeling in chemical processes.

用于工业流程的数据驱动型软传感器的激增是显而易见的。然而,大多数软传感器都存在黑盒模型的局限性,这将阻碍它们的广泛应用。为了应对这一挑战,本研究提出了一种物理引导的图学习软传感器,它通过将基于图的概念与过程物理相结合,整合了对工业过程的物理理解。软传感器首先利用条件格兰杰因果关系检验,根据变量之间的因果关系构建物理信息。随后,它自主学习每个观测值的独特样本信息,同时采用正则化损失来确保所学信息的稀疏性。该模型采用双流结构对物理信息和样本信息进行时空编码。青霉素发酵过程的建模和预测结果表明,使用所提出的方法,从数据中获得的知识与现有的先验知识相一致。这种方法有望填补化学过程中数据驱动建模与物理建模之间的空白。
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引用次数: 0
A randomized permutation whole-model test heuristic for Self-Validated Ensemble Models (SVEM) 自验证集合模型(SVEM)的随机置换整体模型测试启发式
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-04-16 DOI: 10.1016/j.chemolab.2024.105122
Andrew T. Karl

We introduce a heuristic to test the significance of fit of Self-Validated Ensemble Models (SVEM) against the null hypothesis of a constant response. A SVEM model averages predictions from nBoot fits of a model, applied to fractionally weighted bootstraps of the target dataset. It tunes each fit on a validation copy of the training data, utilizing anti-correlated weights for training and validation. The proposed test computes SVEM predictions centered by the response column mean and normalized by the ensemble variability at each of nPoint points spaced throughout the factor space. A reference distribution is constructed by refitting the SVEM model to nPerm randomized permutations of the response column and recording the corresponding standardized predictions at the nPoint points. A reduced-rank singular value decomposition applied to the centered and scaled nPerm×nPoint reference matrix is used to calculate the Mahalanobis distance for each of the nPerm permutation results as well as the jackknife (holdout) Mahalanobis distance of the original response column. The process is repeated independently for each response in the experiment, producing a joint graphical summary. We present a simulation driven power analysis and discuss limitations of the test relating to model flexibility and design adequacy. The test maintains the nominal Type I error rate even when the base SVEM model contains more parameters than observations.

我们引入了一种启发式方法来测试自验证集合模型(SVEM)与恒定响应零假设的拟合显著性。SVEM 模型对模型的 nBoot 拟合预测进行平均,并应用于目标数据集的分数加权 bootstraps。它在训练数据的验证副本上调整每个拟合,利用反相关权重进行训练和验证。建议的测试以响应列平均值为中心计算 SVEM 预测值,并以整个因子空间中间隔的 n 个点的集合变异性进行归一化。通过对响应列的 nPerm 随机排列重新拟合 SVEM 模型,并记录 nPoint 点上相应的标准化预测值,从而构建参考分布。对 nPerm×nPoint 参考矩阵进行居中和按比例缩减的秩奇异值分解,用于计算 nPerm 每种排列结果的 Mahalanobis 距离,以及原始响应列的 jackknife(保持)Mahalanobis 距离。实验中的每个响应都要独立重复这一过程,从而得出联合图形摘要。我们介绍了模拟驱动的功率分析,并讨论了与模型灵活性和设计充分性有关的检验局限性。即使基础 SVEM 模型包含的参数多于观测值,该检验也能保持名义 I 类错误率。
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引用次数: 0
An adaptive strategy to improve the partial least squares model via minimum covariance determinant 通过最小协方差行列式改进偏最小二乘法模型的自适应策略
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-04-15 DOI: 10.1016/j.chemolab.2024.105120
Xudong Huang, Guangzao Huang, Xiaojing Chen, Zhonghao Xie, Shujat Ali, Xi Chen, Leiming Yuan, Wen Shi

Partial least squares (PLS) regression is a linear regression technique that performs well with high-dimensional regressors. Similar to many other supervised learning techniques, PLS is susceptible to the problem that the prediction and training data are drawn from different distributions, which deteriorates the PLS performance. To address this problem, an adaptive strategy via the minimum covariance determinant (MCD) estimator is proposed to improve the PLS model, which aims to find an appropriate training set for the adaptive construction of an accurate PLS model to fit the prediction data. In this study, an h-subset of the merged set of prediction and training data with the smallest covariance determinant is found via the MCD estimator, and the prediction and training data with Mahalanobis distances to the h-subset less than or equal to a cutoff that is the square root of a quantile of the chi-squared distribution are assumed to have the same distribution, then a PLS model is built on these training data. The proposed method is applied to three real-world datasets and compared with the results of classic PLS, the most significant improvement is obtained for the m5 prediction data in the corn dataset, where the root mean square error of prediction (RMSEP) is reduced from 0.149 to 0.023. For other datasets, our method can also perform better than PLS. The experimental results show the effectiveness of our method.

偏最小二乘法(PLS)回归是一种线性回归技术,在处理高维回归因子时表现出色。与许多其他监督学习技术类似,PLS 容易受到预测数据和训练数据来自不同分布的影响,从而降低 PLS 的性能。为了解决这个问题,有人提出了一种通过最小协方差行列式(MCD)估计器来改进 PLS 模型的自适应策略,其目的是找到一个合适的训练集,以便自适应地构建一个精确的 PLS 模型来拟合预测数据。在本研究中,通过 MCD 估计器找到了预测数据和训练数据合并集中协方差行列式最小的 h 子集,并假定与 h 子集的马哈拉诺比斯距离小于或等于截断值(该截断值是卡方分布的一个量级的平方根)的预测数据和训练数据具有相同的分布,然后在这些训练数据上建立 PLS 模型。我们将所提出的方法应用于三个实际数据集,与经典的 PLS 结果相比,玉米数据集中的 m5 预测数据得到了最显著的改善,预测的均方根误差(RMSEP)从 0.149 降至 0.023。在其他数据集上,我们的方法也比 PLS 有更好的表现。实验结果表明了我们方法的有效性。
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引用次数: 0
Variable selection and inference strategies for multiple compositional regression 多元组合回归的变量选择和推理策略
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-04-04 DOI: 10.1016/j.chemolab.2024.105121
Sujin Lee, Sungkyu Jung

An important problem in compositional data analysis is variable selection in linear regression models with compositional covariates. In the context of microbiome data analysis, there is a demand for considering grouping information such as structures among taxa and multiple sampling sites, resulting in multiple compositional covariates. We develop and compare two different methods of variable selection and inference strategies, based on the debiased lasso and a resampling-based approach. Confidence intervals for individual regression coefficients, obtained from each of the two methods, are shown to be asymptotically valid even in a high-dimension, low-sample-size regime. However, microbiome data often have extremely small sample sizes, rendering asymptotic results unreliable. Through extensive numerical comparisons of the finite-sample performances of the two methods, we find that resampling-based approaches outperform the debiased compositional lasso in cases of extremely small sample sizes, showing higher positive predictive values. Conversely, for larger sample sizes, debiasing yields better results. We apply the proposed multiple compositional regression to steer microbiome data, identifying key bacterial taxa associated with important cattle quality measures.

成分数据分析中的一个重要问题是带有成分协变量的线性回归模型中的变量选择。在微生物组数据分析中,需要考虑分类群之间的结构和多个采样点等分组信息,从而产生多个组成协变量。我们开发并比较了两种不同的变量选择方法和推断策略,分别基于去偏套索和基于重采样的方法。结果表明,即使在高维度、低样本量的情况下,通过这两种方法获得的单个回归系数的置信区间也是渐进有效的。然而,微生物组数据的样本量往往极小,使得渐近结果不可靠。通过对这两种方法的有限样本性能进行广泛的数值比较,我们发现在样本量极小的情况下,基于重采样的方法优于去偏组成套索,显示出更高的正预测值。相反,在样本量较大的情况下,去重抽样则能获得更好的结果。我们将所提出的多重成分回归方法应用于转向架微生物组数据,确定了与重要的牛群质量指标相关的关键细菌类群。
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引用次数: 0
Coupling randomisation and sparse modelling for the exploratory analysis of large hyperspectral datasets 将随机化和稀疏建模相结合,对大型高光谱数据集进行探索性分析
IF 3.9 2区 化学 Q1 Chemistry Pub Date : 2024-03-28 DOI: 10.1016/j.chemolab.2024.105118
Rosalba Calvini , José Manuel Amigo

Sparse-based models are a powerful tools for data compression, variable reduction, and model complexity reduction. Nevertheless, their major issue is the high computational time needed in large matrices. This manuscript proposes, for the first time, to couple randomised decomposition as a first step before sparsity calculations, followed by a projection of the full data onto a reduced-sparse set of loadings that will drastically reduce the time needed for calculations and built models that are equally reliable as their sparse-based homologous. While this new approach might be valid for several scenarios (exploration, regression and classification), we will focus on exploration methods (like Principal Component Analysis – PCA) applied to large datasets of hyperspectral images. Two datasets of different complexity have been tested, and the benefits of the coupled randomisation and sparse PCA (rsPCA) are extensively studied.

基于稀疏的模型是压缩数据、减少变量和降低模型复杂度的有力工具。然而,其主要问题在于大型矩阵所需的计算时间较长。本手稿首次提出,在稀疏性计算之前,先将随机分解作为第一步,然后将全部数据投影到一个精简稀疏的载荷集上,这将大大减少计算所需的时间,并建立与基于稀疏性的同类模型同样可靠的模型。虽然这种新方法可能适用于多种情况(探索、回归和分类),但我们将重点关注应用于大型高光谱图像数据集的探索方法(如主成分分析--PCA)。我们对两个不同复杂程度的数据集进行了测试,并广泛研究了随机化和稀疏 PCA(rsPCA)耦合的优势。
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Chemometrics and Intelligent Laboratory Systems
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