The use of actual observations to infer the properties of a model is an inverse problem, which are often difficult as they may not have a unique solution. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition of information can be applied to actual real-world problems, including many heuristic arguments. Prompted by recent developments in inverse theory, this text is a completely rewritten version of a 1987 book by the same author, and includes many algorithmic details for Monte Carlo methods, least-squares discrete problems, and least-squares problems involving functions. In addition, some notions are clarified, the role of optimization techniques is underplayed, and Monte Carlo methods are taken much more seriously.
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‘Tarantola's book is undoubtedly the most important work on probabilistic inverse theory. It presents a complete theory where a physical parameter is represented, not by a number, but by a probability distribution.’ Klaus Mosegaard, Niels Bohr Institute
Book Description
This book proposes a general approach that allows the reader to understand the basic difficulties appearing in the resolution of inverse problems, valid for linear as well as for nonlinear problems. Prompted by new developments, this text is a completely rewritten version of a 1987 book by the same author.
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Inside This Book
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First Sentence:
Central to this chapter is the concept of the 'state of information' over a parameter set. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, The Norm Associated, Linear Space Let, Linear Regression New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Central to this chapter is the concept of the 'state of information' over a parameter set. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, The Norm Associated, Linear Space Let, Linear Regression New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 5
books:
- Mantle and Core in Planetary Physics (Italian Physical Society) by J. Coulomb in Back Matter (1), and Back Matter (2)
- Linear Algebra by S. Singh in Back Matter
- Linear Algebra (Undergraduate Texts in Mathematics) by Larry Smith in Back Matter
- Inverse Problem Theory by Albert Tarantola in Front Matter
- Linear Algebra by Trevor James Fletcher in Back Matter
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