Buch, Englisch, Band 28, 168 Seiten, Format (B × H): 156 mm x 234 mm
Reihe: Foundations and Trends® in Theoretical Computer Science
Buch, Englisch, Band 28, 168 Seiten, Format (B × H): 156 mm x 234 mm
Reihe: Foundations and Trends® in Theoretical Computer Science
ISBN: 978-1-68083-004-0
Verlag: Now Publishers
Sketching as a Tool for Numerical Linear Algebra highlights the recent advances in algorithms for numerical linear algebra that have come from the technique of linear sketching, whereby given a matrix, one first compressed it to a much smaller matrix by multiplying it by a (usually) random matrix with certain properties. Much of the expensive computation can then be performed on the smaller matrix, thereby accelerating the solution for the original problem. Sketching as a Tool for Numerical Linear Algebra considers least squares as well as robust regression problems, low rank approximation, and graph sparsification. It also discusses a number of variants of these problems. It concludes by discussing the limitations of sketching methods and briefly looking at some open questions. Sketching as a Tool for Numerical Linear Algebra is an ideal primer for researchers and students of theoretical computer science interested in how sketching techniques can be used to speed up numerical linear algebra applications.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
- Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
Weitere Infos & Material
1: Introduction 2: Subspace Embeddings and Least Squares Regression 3: Least Absolute Deviation Regression 4: Low Rank Approximation 5: Graph Sparsification 6: Sketching Lower Bounds for Linear Algebra 7: Open Problems. Acknowledgements. References
