Singular value decomposition

{
  "id": "MLC-T-CHM-010910",
  "term": "Singular value decomposition",
  "field": "Chemistry",
  "definition": "A matrix factorization technique that decomposes a matrix into three simpler matrices: a unitary matrix, a diagonal matrix of singular values, and another unitary matrix. This mathematical operation is widely used in chemometrics for data compression, noise reduction, and identifying underlying patterns in multivariate data. It can reveal the principal components of a data set, such as in principal component analysis.",
  "subject": "Analytical Chemistry",
  "see_also": [
    "data matrix",
    "loadings",
    "score"
  ],
  "references": [
    "PAC, 2016, 88, 407. 'Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)' on page 425 (https://doi.org/10.1515/pac-2015-0605)"
  ],
  "url": "https://mlchart.com/terminology/chemistry/singular-value-decomposition/"
}