Algebraic Geometry and Statistical Learning Theory (Cambridge Monographs on Applied and Computational Mathematics, Series Number 25) - Hardcover
Synopsis
Sure to be influential, Watanabe’s book lays the foundations for the use of algebraic geometry in statistical learning theory. Many models/machines are singular: mixture models, neural networks, HMMs, Bayesian networks, stochastic context-free grammars are major examples. The theory achieved here underpins accurate estimation techniques in the presence of singularities.
"synopsis" may belong to another edition of this title.
About the Author
Sumio Watanabe is a Professor in the Precision and Intelligence Laboratory at the Tokyo Institute of Technology.
"About this title" may belong to another edition of this title.
Search results for Algebraic Geometry and Statistical Learning Theory...
Stock Image
Algebraic Geometry and Statist
Published by
Cambridge University Press, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
Used
Hardcover
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Seller Inventory # 00102695439
Stock Image
Algebraic Geometry and Statistical Learning Theory (Cambridge Monographs on Applied and Computational Mathematics, Series Number 25)
Published by
Cambridge University Press, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
Used
Hardcover
Seller: Books From California, Simi Valley, CA, U.S.A.
Seller rating 4 out of 5 stars
hardcover. Condition: Good. Seller Inventory # mon0003879521
Stock Image
Algebraic Geometry and Statistical Learning Theory (Cambridge Monographs on Applied and Computational Mathematics, Series Number 25)
Published by
Cambridge University Press, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
Used
Hardcover
Seller: thebookforest.com, San Rafael, CA, U.S.A.
Seller rating 4 out of 5 stars
Condition: Like New. hardcover. Text block firm and clean, binding unblemished, boards straight, without highlights or underlining. Fine, like new condition. Supporting Bay Area Friends of the Library since 2010. Well packaged and promptly shipped. Seller Inventory # BAY04-00026
Stock Image
Algebraic Geometry and Statistical Learning Theory (Cambridge Monographs on Applied and Computational Mathematics, Series Number 25)
Published by
Cambridge University Press, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
Used
Hardcover
Seller: Books From California, Simi Valley, CA, U.S.A.
Seller rating 4 out of 5 stars
hardcover. Condition: Very Good. Seller Inventory # mon0003745054
Seller Image
Algebraic Geometry and Statistical Learning Theory
Published by
Cambridge University Press, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
New
Hardcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 6165683-n
Stock Image
Algebraic Geometry and Statistical Learning Theory (Hardcover)
Published by
Cambridge University Press, Cambridge, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
New
Hardcover
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory. Many widely used statistical models and learning machines applied to information science have a parameter space that is singular: mixture models, neural networks, HMMs, Bayesian networks, and stochastic context-free grammars are major examples. Algebraic geometry and singularity theory provide the necessary tools for studying such non-smooth models. Four main formulas are established: 1. the log likelihood function can be given a common standard form using resolution of singularities, even applied to more complex models; 2. the asymptotic behaviour of the marginal likelihood or 'the evidence' is derived based on zeta function theory; 3. new methods are derived to estimate the generalization errors in Bayes and Gibbs estimations from training errors; 4. the generalization errors of maximum likelihood and a posteriori methods are clarified by empirical process theory on algebraic varieties. Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory. Many widely used statistical models are singular: mixture models, neural networks, HMMs, and Bayesian networks are major examples. The theory achieved here underpins accurate estimation techniques in the presence of singularities. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521864671
Stock Image
Algebraic Geometry and Statistical Learning Theory (Cambridge Monographs on Applied and Computational Mathematics, Series Number 25)
Published by
Cambridge University Press, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
New
Hardcover
Seller: California Books, Miami, FL, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # I-9780521864671
Seller Image
Algebraic Geometry and Statistical Learning Theory
Published by
Cambridge University Press, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
Used
Hardcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 6165683
Seller Image
Algebraic Geometry and Statistical Learning Theory
Published by
Cambridge University Press, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
Used
Hardcover
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 6165683
Buy Used
US$ 114.73
US$ 20.30 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Algebraic Geometry and Statistical Learning Theory (Cambridge Monographs on Applied and Computational Mathematics, Series Number 25)
Published by
Cambridge University Press, 2009
ISBN 10: 0521864674
ISBN 13: 9780521864671
New
Hardcover
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780521864671_new
Buy New
US$ 119.90
US$ 16.22 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available