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portada A First Course in Random Matrix Theory: For Physicists, Engineers and Data Scientists
Type
Physical Book
Author
Publisher
Year
2020
Language
English
Pages
372
Format
Hardcover
Dimensions
24.9x19.6x2 cm
Weight
0.86 kg.
ISBN13
9781108488082
Edition No.
1
Categories

A First Course in Random Matrix Theory: For Physicists, Engineers and Data Scientists

Jean-Philippe Bouchaud (Author) · Marc Potters (Author) · Cambridge University Press · Hardcover

A First Course in Random Matrix Theory: For Physicists, Engineers and Data Scientists - Potters, Marc ; Bouchaud, Jean-Philippe

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Synopsis "A First Course in Random Matrix Theory: For Physicists, Engineers and Data Scientists "

The real world is perceived and broken down as data, models and algorithms in the eyes of physicists and engineers. Data is noisy by nature and classical statistical tools have so far been successful in dealing with relatively smaller levels of randomness. The recent emergence of Big Data and the required computing power to analyse them have rendered classical tools outdated and insufficient. Tools such as random matrix theory and the study of large sample covariance matrices can efficiently process these big data sets and help make sense of modern, deep learning algorithms. Presenting an introductory calculus course for random matrices, the book focusses on modern concepts in matrix theory, generalising the standard concept of probabilistic independence to non-commuting random variables. Concretely worked out examples and applications to financial engineering and portfolio construction make this unique book an essential tool for physicists, engineers, data analysts, and economists.

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