Describes a useful tool for solving linear inverse problems subject to convex constraints. This book consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem. It explores a variety of mathematical aspect…
The book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small…
1. Introduction -- 2. A collection of linear inverse problems. 2.1. A battle horse for numerical computations. 2.2. Linear equations with errors in the data. 2.3. Linear equations with convex constraints. 2.4. Inversion of Laplace transforms from finite number of data points. 2.…
This book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a smal…
Ch. 0. Introduction -- ch. 1. Basic concepts from probability theory -- ch. 2. Equilibrium distributions in statistical mechanics -- ch. 3. Some heuristics -- ch. 4. Entropy functionals. 1. Basics. 2. Entropy inequalities. 3. Axiomatic characterization of entropies -- ch. 5. The…
This monograph is an outgrowth of a set of lecture notes on the maximum entropy method delivered at the 1st Venezuelan School of Mathematics. This yearly event aims at acquainting graduate students and university teachers with the trends, techniques and open problems of current …