Data Analytics, Statistics, Chemometrics, and Artificial Intelligence

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Unsolved Problems in Spectroscopy - Part 8
Beyond Linearity: Identifying and Managing Nonlinear Effects in Spectroscopic Data

September 24th 2025

This tutorial explores the challenges posed by nonlinearities in spectroscopic calibration models, including physical origins, detection strategies, and correction approaches. Linear regression methods such as partial least squares (PLS) dominate chemometrics, but real-world data often violate linear assumptions due to Beer–Lambert law deviations, scattering, and instrumental artifacts. We examine extensions beyond linearity, including polynomial regression, kernel partial least squares (K-PLS), Gaussian process regression (GPR), and artificial neural networks (ANNs). Equations are provided in full matrix notation for clarity. Practical applications across near-infrared (NIR), mid-infrared (MIR), Raman, and atomic spectroscopies are discussed, and future research directions are outlined with emphasis on hybrid models that integrate physical and statistical knowledge.

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From Classical Regression to AI and Beyond: The Chronicles of Calibration in Spectroscopy: Part II

September 22nd 2025

Unsolved Problems in Spectroscopy - Part 7
Data Fusion in Action: Integrating Different Vibrational and Atomic Spectroscopy Data

September 16th 2025

NIR aquaphotomics is used for biofluid and food analysis © By Sona-chronicles-stock.adobe.com
Mini-Tutorial on NIR Aquaphotomics for Rapid, Non-Destructive Biofluid and Food Analysis

September 9th 2025

Unsolved Problems in Spectroscopy - Part 6
Demystifying the Black Box: Making Machine Learning Models Explainable in Spectroscopy

September 8th 2025

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