This paper offers a critical review from classical to new perspectives of advanced oxidation processes (AOPs) coupled to two- and multi-way calibration strategies based on multivariate curve resolution – alternating least-squares (MCR-ALS) and parallel factory analysis (PARAFAC) with various analytical techniques to monitor the degradation of contaminants in environmental samples. It focuses on the generation of highly reactive hydroxyl (HO•) radicals (classical AOPs with emphasis on Fenton, photo-Fenton and ozonation processes) and emerging reactive sulphate (SO₄^•−) radicals (new perspectives of AOPs) for effective degradation of recalcitrant compounds. Other new perspectives of AOPs were also addressed, namely semiconductor photocatalysis (TiO₂/UV), combination of processes involving at least one AOP (hybrid or single-step processes and sequential or two-step processes), novel advanced electrochemical oxidation technologies (electro-Fenton and electro-photo-Fenton) and nanocatalytic heterogeneous Fenton technology with high specific surface area. Literature reports since 2008 for real applications in the environmental remediation based on AOPs (from classical to new perspectives) coupled to PARAFAC and MCR-ALS with first-, second- and third-order data were reviewed and the improvements obtained were briefly discussed. The two- and multi-way calibration strategies allow one the successful decomposition of first-, second- and third-order data collected from different analytical techniques. Therefore, the respective profiles obtained allowed qualitative (spectral profiles) and quantitative (concentration profiles) analysis of complex samples during the degradation of contaminants through the second-order advantage. Finally, trends of future research directions for AOPs coupled to various analytical techniques and advanced chemometric models were provided.

本文从高级氧化过程（AOP）的经典观点到新观点，以及基于多元曲线分辨率的交替和双向校准策略-交替最小二乘（MCR-ALS）和并行工厂分析（PARAFAC），进行了重要的评论。采用各种分析技术来监测环境样品中污染物的降解。它着重于产生高反应性羟基（HO•）自由基（经典的AOP，重点是Fenton，光Fenton和臭氧化过程）和新兴的反应性硫酸盐（SO ₄ ^•−）自由基（AOP的新观点），以有效降解HOP。顽强的化合物。还讨论了AOP的其他新观点，即半导体光催化（TiO ₂/ UV），涉及至少一个AOP的工艺组合（混合或单步工艺以及顺序或两步工艺），新型先进的电化学氧化技术（电Fenton和电光Fenton）以及纳米催化的非均相Fenton技术高比表面积。自2008年以来，针对基于AOP（从经典到新的观点）结合PARAFAC和MCR-ALS以及一阶，二阶和三阶数据在环境修复中的实际应用的文献报告进行了回顾，并对获得的改进进行了简要讨论。双向和多向校准策略可以成功分解从不同分析技术收集的一阶，二阶和三阶数据。所以，通过二级优势，在污染物降解过程中，获得的各个图谱可对复杂样品进行定性（光谱图）和定量（浓度图）分析。最后，提供了与各种分析技术和先进的化学计量学模型相结合的AOPs未来研究方向的趋势。