Bayesian approach to inverse problems [[electronic resource] /] / edited by Jerome Idier

• Record Nr.: UNINA9911020053003321
• Pubbl/distr/stampa: London, : ISTE; Hoboken, NJ, : John Wiley, c2008
• ISBN: 1-282-16506-2; 9786612165061; 0-470-61119-7; 0-470-39382-3
• Descrizione fisica: 1 online resource (383 p.)
• Collana: Digital signal and image processing series. ; ; v.35
• Altri autori (Persone): IdierJérôme
• Disciplina: 515/.357; 519.542
• Soggetti: Inverse problems (Differential equations); Bayesian statistical decision theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Bayesian Approach to Inverse Problems; Table of Contents; Introduction; Part I. Fundamental Problems and Tools; Chapter 1. Inverse Problems, Ill-posed Problems; 1.1. Introduction; 1.2. Basic example; 1.3. Ill-posed problem; 1.3.1. Case of discrete data; 1.3.2. Continuous case; 1.4. Generalized inversion; 1.4.1. Pseudo-solutions; 1.4.2. Generalized solutions; 1.4.3. Example; 1.5. Discretization and conditioning; 1.6. Conclusion; 1.7. Bibliography; Chapter 2. Main Approaches to the Regularization of Ill-posed Problems; 2.1. Regularization; 2.1.1. Dimensionality control; 2.1.1.1. Truncated singular value decomposition2.1.1.2. Change of discretization; 2.1.1.3. Iterative methods; 2.1.2. Minimization of a composite criterion; 2.1.2.1. Euclidian distances; 2.1.2.2. Roughness measures; 2.1.2.3. Non-quadratic penalization; 2.1.2.4. Kullback pseudo-distance; 2.2. Criterion descent methods; 2.2.1. Criterion minimization for inversion; 2.2.2. The quadratic case; 2.2.2.1. Non-iterative techniques; 2.2.2.2. Iterative techniques; 2.2.3. The convex case; 2.2.4. General case; 2.3. Choice of regularization coefficient; ; 2.3.1. Residual error energy control; 2.3.2. "L-curve" method2.3.3. Cross-validation; 2.4. Bibliography; Chapter 3. Inversion within the Probabilistic Framework; 3.1. Inversion and inference; 3.2. Statistical inference; 3.2.1. Noise law and direct distribution for data; 3.2.2. Maximum likelihood estimation; 3.3. Bayesian approach to inversion; 3.4. Links with deterministic methods; 3.5. Choice of hyperparameters; 3.6. A priori model; 3.7. Choice of criteria; 3.8. The linear, Gaussian case; 3.8.1. Statistical properties of the solution; 3.8.2. Calculation of marginal likelihood; 3.8.3. Wiener filtering; 3.9. Bibliography; Part II. DeconvolutionChapter 4. Inverse Filtering and Other Linear Methods; 4.1. Introduction; 4.2. Continuous-time deconvolution; 4.2.1. Inverse filtering; 4.2.2. Wiener filtering; 4.3. Discretization of the problem; 4.3.1. Choice of a quadrature method; 4.3.2. Structure of observation matrix H; 4.3.3. Usual boundary conditions; 4.3.4. Problem conditioning; 4.3.4.1. Case of the circulant matrix; 4.3.4.2. Case of the Toeplitz matrix; 4.3.4.3. Opposition between resolution and conditioning; 4.3.5. Generalized inversion; 4.4. Batch deconvolution; 4.4.1. Preliminary choices; 4.4.2. Matrix form of the estimate4.4.3. Hunt's method (periodic boundary hypothesis); 4.4.4. Exact inversion methods in the stationary case; 4.4.5. Case of non-stationary signals; 4.4.6. Results and discussion on examples; 4.4.6.1. Compromise between bias and variance in 1D deconvolution; 4.4.6.2. Results for 2D processing; 4.5. Recursive deconvolution; 4.5.1. Kalman filtering; 4.5.2. Degenerate state model and recursive least squares; 4.5.3. Autoregressive state model; 4.5.3.1. Initialization; 4.5.3.2. Criterion minimized by Kalman smoother; 4.5.3.3. Example of result; 4.5.4. Fast Kalman filtering
• Sommario/riassunto: Many scientific, medical or engineering problems raise the issue of recovering some physical quantities from indirect measurements; for instance, detecting or quantifying flaws or cracks within a material from acoustic or electromagnetic measurements at its surface is an essential problem of non-destructive evaluation. The concept of inverse problems precisely originates from the idea of inverting the laws of physics to recover a quantity of interest from measurable data.Unfortunately, most inverse problems are ill-posed, which means that precise and stable solutions are not easy to devise

From Molecules to Materials : Pathways to Artificial Photosynthesis / / edited by Elena A. Rozhkova, Katsuhiko Ariga

• Record Nr.: UNINA9910299613403321
• Pubbl/distr/stampa: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
• ISBN: 9783319138008; 3319138006
• Edizione: [1st ed. 2015.]
• Descrizione fisica: 1 online resource (324 p.)
• Disciplina: 541.37; 620.11; 621.042
• Soggetti: Renewable energy resources; Biomedical materials; Electrochemistry; Renewable and Green Energy; Biomaterials
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: Preface -- Semiconductors for Photocatalytic and Photoelectrochemical Solar Water Splitting -- Artificial Photosynthesis Producing Solar Fuels: Natural Tactics of Photosynthesis -- The evolution of artificial-photosynthesis from molecular to organic/inorganic hybrid nano-systems -- Enzymes as exploratory catalysts in Artificial Photosynthesis -- Solar photoelectrochemical water splitting with bio-conjugate and bio-hybrid electrodes -- Hybrid (enzymatic and photocatalytic) systems for CO2-water co-processing to afford energy rich molecules -- Current challenges of CO2 photocatalytic reduction over semiconductors using sunlight -- Functionalized Nano-carbons for Artificial Photosynthesis; from Fullerenes to SWCNTs and graphene -- Plasmonic Photocatalysts with Wide Light Absorption Spectra and High Charge Separation Efficiency -- Soft X-ray Spectroscopy and Electronic Structure of 3d Transition Metal Compounds in Artificial Photosynthesis Materials -- Assessment of the electronic structure of photo-electrodes ; with X-ray and electron spectroscopy.
• Sommario/riassunto: This interdisciplinary book focuses on the various aspects transformation of the energy from sunlight into the chemical bonds of a fuel, known as the artificial photosynthesis, and addresses the emergent challenges connected with growing societal demands for clean and sustainable energy technologies. The editors assemble the research of world-recognized experts in the field of both molecular and materials artificial systems for energy production. Contributors cover the full scope of research on photosynthesis and related energy processes.