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Multi-way Analysis and PARAFAC Model

Chemometrics & Machine Learning in Copenhagen via YouTube

Overview

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Learn multi-way data analysis through a comprehensive tutorial series covering fundamental concepts and practical implementation using MATLAB. Explore the nature of multi-way data structures and understand how they differ from traditional two-way matrices. Master the PARAFAC (Parallel Factor Analysis) model, including its mathematical foundations, advantages over other decomposition methods, and algorithmic implementation. Discover techniques for determining optimal component numbers, identifying outliers, and applying various constraints to improve model performance. Examine real-world applications across different domains and gain hands-on experience through MATLAB-based exercises that demonstrate practical implementation of multi-way analysis techniques in chemometrics and machine learning contexts.

Syllabus

Multi-way analysis. Part 1. What is multi-way data
Multi-way analysis. Part 1b. What is multi-way analysis. MATLAB version
Multi-way analysis. Part 21a. Introduction to PARAFAC model
Multi-way analysis. Part 21b. The PARAFAC model. MATLAB version
Multi-way analysis. Part 22a.What is good about PARAFAC
Multi-way analysis. Part 22b.What is good about PARAFAC. MATLAB version
Multi-way analysis. Part 23a.The algorithm
Multi-way analysis. Part 23b. The algorithm. MATLAB version
Multi-way analysis. Part 24a. Number of components and outliers
Multi-way analysis. Part 24b. Number of components and outliers. MATLAB version
Multi-way analysis. Part 25a. Applications
Multi-way analysis. Part 25b. More applications
Multi-way analysis. Part 26a. Constraints
Multi-way analysis. Part 26b. Constraints. MATLAB version
Multi-way analysis. Part 27. Concluding

Taught by

Chemometrics & Machine Learning in Copenhagen

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