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Random matrix methods for machine learning / Romain Couillet and Zhenyu Liao.

By: Contributor(s): Material type: TextTextPublisher: Cambridge, UK ; New York, NY : Cambridge University Press, 2023Description: vii, 402 pages : illustrations ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781009123235
Subject(s): DDC classification:
  • 006.310151922 C831r 23
LOC classification:
  • Q325.5 .C69 2023
Contents:
Introduction -- Random matrix theory -- Statistical inference in linear models -- Kernel methods -- Large neural networks -- Large-dimensional convex optimization -- Community detection on graphs -- Universality and real data.
Summary: "Numerous and large dimensional data is now a default setting in modern machine learning (ML). Standard ML algorithms, starting with kernel methods such as support vector machines and graph-based methods like the PageRank algorithm, were however initially designed out of small dimensional intuitions and tend to misbehave, if not completely collapse, when dealing with real-world large datasets. Random matrix theory has recently developed a broad spectrum of tools to help understand this new curse of dimensionality, to help repair or completely recreate the sub-optimal algorithms, and most importantly to provide new intuitions to deal with modern data mining"-- Provided by publisher.
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Holdings
Item type Current library Shelving location Call number Copy number Status Date due Barcode
Books Books Main Library Circulation Section CIR 006.310151922 C831r 2023 (Browse shelf(Opens below)) 1-1 Available 029350

Includes bibliographical references and index.

Introduction -- Random matrix theory -- Statistical inference in linear models -- Kernel methods -- Large neural networks -- Large-dimensional convex optimization -- Community detection on graphs -- Universality and real data.

"Numerous and large dimensional data is now a default setting in modern machine learning (ML). Standard ML algorithms, starting with kernel methods such as support vector machines and graph-based methods like the PageRank algorithm, were however initially designed out of small dimensional intuitions and tend to misbehave, if not completely collapse, when dealing with real-world large datasets. Random matrix theory has recently developed a broad spectrum of tools to help understand this new curse of dimensionality, to help repair or completely recreate the sub-optimal algorithms, and most importantly to provide new intuitions to deal with modern data mining"-- Provided by publisher.

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