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searching for Inverse Problems 297 found (309 total)

Besov measure (858 words) [view diff] case mismatch in snippet view article find links to article

mathematics — specifically, in the fields of probability theory and inverse problems — Besov measures and associated Besov-distributed random variables

Alberto Calderón (2,045 words) [view diff] case mismatch in snippet view article find links to article

theory to Cauchy integrals on Lipschitz curves, from ergodic theory to inverse problems in electrical prospection. Calderón's work has also had a powerful

Phase problem (1,134 words) [view diff] no match in snippet view article find links to article

In physics, the phase problem is the problem of loss of information concerning the phase that can occur when making a physical measurement. The name comes

Spectral geometry (368 words) [view diff] case mismatch in snippet view article find links to article

concerns itself with two kinds of questions: direct problems and inverse problems. Inverse problems seek to identify features of the geometry from information

Ridge regression (4,146 words) [view diff] case mismatch in snippet view article find links to article

Nikolayevich (1943). "Об устойчивости обратных задач" [On the stability of inverse problems]. Doklady Akademii Nauk SSSR. 39 (5): 195–198. Archived from the original

Regularization (mathematics) (4,623 words) [view diff] case mismatch in snippet view article

finance, and computer science, particularly in machine learning and inverse problems, regularization is a process that converts the answer to a problem

Electrical resistivity tomography (1,389 words) [view diff] case mismatch in snippet view article find links to article

Nikolayevich Tikhonov who is best known for his work on regularization of inverse problems also worked on this problem. He explains in detail how to solve the

Inverse kinematics (2,400 words) [view diff] no match in snippet view article find links to article

In computer animation and robotics, inverse kinematics is the mathematical process of calculating the variable joint parameters needed to place the end

Inverse scattering problem (340 words) [view diff] case mismatch in snippet view article find links to article

Grinev, A. Y.; Chebakov, I. A.; Gigolo, A. I. (2003). "Solution of the inverse problems of subsurface radiolocation". 4th International Conference on Antenna

Landweber iteration (989 words) [view diff] case mismatch in snippet view article find links to article

iteration or Landweber algorithm is an algorithm to solve ill-posed linear inverse problems, and it has been extended to solve non-linear problems that involve

Albert Tarantola (277 words) [view diff] exact match in snippet view article find links to article

Globe (IPGP), and author of the book Probabilistic Formulation of Inverse Problems (Tarantola, 1987, 2005). Tarantola was the leader of the Geophysical

Andrew M. Stuart (679 words) [view diff] case mismatch in snippet view article find links to article

stochastic partial differential equations, the Bayesian approach to inverse problems, data assimilation, and machine learning. Andrew Stuart graduated in

Cell migration (3,718 words) [view diff] case mismatch in snippet view article find links to article

drug treatment or by tubulin mutations. An area of research called inverse problems in cell motility has been established. This approach is based on the

Optimal estimation (848 words) [view diff] no match in snippet view article find links to article

In applied statistics, optimal estimation is a regularized matrix inverse method based on Bayes' theorem. It is used very commonly in the geosciences,

Tomographic reconstruction (2,819 words) [view diff] case mismatch in snippet view article find links to article

Tomographic reconstruction is a type of multidimensional inverse problem where the challenge is to yield an estimate of a specific system from a finite

Unisolvent functions (917 words) [view diff] case mismatch in snippet view article find links to article

sin(nx) is unisolvent on [−π, π] Unisolvent functions are used in linear inverse problems. When using "simple" functions to approximate an unknown function,

Pierre Sabatier (366 words) [view diff] exact match in snippet view article find links to article

journal Inverse Problems, IOP, 1985–20??, he initiated the RCP264 workshops in Montpellier, and is one of the foremost exponents of the field of inverse problems

Vertical electrical sounding (334 words) [view diff] no match in snippet view article find links to article

Vertical electrical sounding (VES) is a geophysical method for investigation of a geological medium. The method is based on the estimation of the electrical

Deep image prior (975 words) [view diff] case mismatch in snippet view article find links to article

neural network is randomly initialized and used as prior to solve inverse problems such as noise reduction, super-resolution, and inpainting. Image statistics

Electrical capacitance tomography (560 words) [view diff] no match in snippet view article find links to article

Electrical capacitance tomography (ECT) is a method for determination of the dielectric permittivity distribution in the interior of an object from external

Differential optical absorption spectroscopy (1,403 words) [view diff] no match in snippet view article find links to article

In atmospheric chemistry, differential optical absorption spectroscopy (DOAS) is used to measure concentrations of trace gases. When combined with basic

Mikko Kaasalainen (752 words) [view diff] case mismatch in snippet view article find links to article

at Tampere University of Technology. Kaasalainen mostly worked on inverse problems and their applications especially in astrophysics, as well as on dynamical

Inverse dynamics (1,123 words) [view diff] case mismatch in snippet view article find links to article

Inverse dynamics is an inverse problem. It commonly refers to either inverse rigid body dynamics or inverse structural dynamics. Inverse rigid-body dynamics

Backus–Gilbert method (325 words) [view diff] case mismatch in snippet view article find links to article

regularization method for obtaining meaningful solutions to ill-posed inverse problems. Where other regularization methods, such as the frequently used Tikhonov

Electrical impedance tomography (6,518 words) [view diff] case mismatch in snippet view article find links to article

was posed by Alberto Calderón, and in the mathematical literature of inverse problems it is often referred to as "Calderón's inverse problem" or the "Calderón

Seismic tomography (6,134 words) [view diff] case mismatch in snippet view article find links to article

modeling techniques and computing power that were required to solve large inverse problems and generate theoretical seismograms, which are required to test the

Lassi Päivärinta (482 words) [view diff] case mismatch in snippet view article find links to article

University of Helsinki. Päivärinta's research is mostly in the fields of inverse problems and partial differential equations. Päivärinta received an MSc in mathematics

Method of fundamental solutions (1,175 words) [view diff] case mismatch in snippet view article find links to article

methods on the solution of infinite domain, thin-walled structures, and inverse problems. In contrast to the BEM, the MFS avoids the numerical integration of

Regularization by spectral filtering (2,234 words) [view diff] case mismatch in snippet view article find links to article

that were originally defined and studied in the theory of ill-posed inverse problems (for instance, see) focusing on the inversion of a linear operator

Well-posed problem (1,540 words) [view diff] case mismatch in snippet view article find links to article

when the objective itself is a smooth function of those parameters. Inverse problems are often ill-posed; for example, the inverse heat equation, deducing

Victor Isakov (509 words) [view diff] case mismatch in snippet view article find links to article

2021)[citation needed] was a mathematician working in the field of inverse problems for partial differential equations and related topics (potential theory

Isoline retrieval (1,428 words) [view diff] no match in snippet view article find links to article

Isoline retrieval is a remote sensing inverse method that retrieves one or more isolines of a trace atmospheric constituent or variable. When used to validate

Inverse problem in optics (156 words) [view diff] case mismatch in snippet view article find links to article

The inverse problem in optics (or the inverse optics problem) refers to the fundamentally ambiguous mapping between sources of retinal stimulation and

Inverse lithography (225 words) [view diff] no match in snippet view article find links to article

In semiconductor device fabrication, the inverse lithography technology (ILT) is an optical proximity correction approach to optimize photomask design

Phase retrieval (2,898 words) [view diff] exact match in snippet view article find links to article

Sacks, P.E.; Tikhonravov, A.V. (1995). "The phase retrieval problem". Inverse Problems. 11 (1): 1–28. Bibcode:1995InvPr..11....1K. doi:10.1088/0266-5611/11/1/001

Inverse problem for Lagrangian mechanics (1,509 words) [view diff] case mismatch in snippet view article find links to article

In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations can

Vector field reconstruction (1,352 words) [view diff] no match in snippet view article find links to article

Vector field reconstruction is a method of creating a vector field from experimental or computer-generated data, usually with the goal of finding a differential

Simultaneous algebraic reconstruction technique (407 words) [view diff] exact match in snippet view article find links to article

iterative algorithms in signal processing and image reconstruction. Inverse Problems 20 103 (2004) Jiang, M.; Wang, G. (2003). "Convergence of the simultaneous

Reverse Monte Carlo (2,514 words) [view diff] case mismatch in snippet view article find links to article

its parameters have the greatest consistency with experimental data. Inverse problems are found in many branches of science and mathematics, but this approach

Gunther Uhlmann (1,107 words) [view diff] case mismatch in snippet view article find links to article

February 1952, Chile) is a mathematician whose research focuses on inverse problems and imaging, microlocal analysis, partial differential equations and

Margaret Cheney (425 words) [view diff] case mismatch in snippet view article find links to article

Cheney (born 1955) is an American mathematician whose research involves inverse problems. She is Yates Chair and Professor of Mathematics at Colorado State

EIDORS (639 words) [view diff] no match in snippet view article find links to article

EIDORS is an open-source software tool box written mainly in MATLAB/GNU Octave designed primarily for image reconstruction from electrical impedance tomography

Regularized least squares (4,894 words) [view diff] no match in snippet view article find links to article

Regularized least squares (RLS) is a family of methods for solving the least-squares problem while using regularization to further constrain the resulting

Frank Natterer (1,141 words) [view diff] exact match in snippet view article find links to article

editor of the journal Inverse Problems and since 2000 he has been a member of the "International Advisory Panel of Inverse Problems". Since 1997, he has

SAMV (algorithm) (1,909 words) [view diff] case mismatch in snippet view article

SAMV (iterative sparse asymptotic minimum variance) is a parameter-free superresolution algorithm for the linear inverse problem in spectral estimation

Gabriel Paternain (248 words) [view diff] case mismatch in snippet view article find links to article

focuses on geometric inverse problems and his collaboration with Mikko Salo and Gunther Uhlmann yielded solutions to several inverse problems in two dimensions

Monte Carlo method (10,690 words) [view diff] case mismatch in snippet view article find links to article

taking that uncertainty into account. Probabilistic formulation of inverse problems leads to the definition of a probability distribution in the model

Heinz Engl (402 words) [view diff] case mismatch in snippet view article find links to article

became a full professor in 1988. His research in this period concerned inverse problems in applied mathematics, with students including Barbara Kaltenbacher

Monte Carlo method (10,690 words) [view diff] case mismatch in snippet view article find links to article

taking that uncertainty into account. Probabilistic formulation of inverse problems leads to the definition of a probability distribution in the model

Harry Dym (421 words) [view diff] case mismatch in snippet view article find links to article

research interests included operator theory, interpolation theory, and inverse problems. Dym earned his Ph.D. in 1965 from the Massachusetts Institute of Technology

Eli Turkel (453 words) [view diff] case mismatch in snippet view article find links to article

to first Temple ostraca and recently deep earning for forward and inverse problems in PDEs, His research interests include algorithms solving partial

András Vasy (769 words) [view diff] case mismatch in snippet view article find links to article

differential equations, microlocal analysis, scattering theory, and inverse problems. He is currently a professor of mathematics at Stanford University

Jennifer Mueller (250 words) [view diff] case mismatch in snippet view article find links to article

applied mathematician and biomedical engineer whose research concerns inverse problems and their applications, particularly to problems in medical imaging

Collocation (remote sensing) (2,111 words) [view diff] no match in snippet view article

Collocation is a procedure used in remote sensing to match measurements from two or more different instruments. This is done for two main reasons: for

Richard Nickl (236 words) [view diff] case mismatch in snippet view article find links to article

empirical process theory, and Bayesian inference for statistical inverse problems and partial differential equations. Jointly with Evarist Giné, he is

Joyce McLaughlin (230 words) [view diff] case mismatch in snippet view article find links to article

interests were primarily in applied mathematics, and in particular in inverse problems. McLaughlin did her undergraduate studies at Kansas State University

Yurii Nesterov (522 words) [view diff] exact match in snippet view article find links to article

paper "A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems". His work with Arkadi Nemirovski in their 1994 book is the first to

Jean-Pierre Florens (359 words) [view diff] case mismatch in snippet view article find links to article

econometrics of stochastic processes, causality, frontier estimation, and inverse problems. Jean Pierre Florens was born in Marseille in 1947, France. He completed

Richard Beals (mathematician) (573 words) [view diff] case mismatch in snippet view article

In 1977 he became a professor at Yale University. Beals works on inverse problems in scattering theory, integrable systems, pseudodifferential operators

Mila Nikolova (273 words) [view diff] case mismatch in snippet view article find links to article

applied mathematician, known for her research in image processing, inverse problems, and compressed sensing. After working as a science journalist and

Topological derivative (1,725 words) [view diff] case mismatch in snippet view article find links to article

asymptotic analysis. ESAIM: Proc. Mathematical methods for imaging and inverse problems, 26:24–44, April 2009. D. Auroux, M. Masmoudi, and L. Jaafar Belaid

QR decomposition (5,100 words) [view diff] no match in snippet view article find links to article

In linear algebra, a QR decomposition, also known as a QR factorization or QU factorization, is a decomposition of a matrix A into a product A = QR of

Barbara Kaltenbacher (402 words) [view diff] case mismatch in snippet view article find links to article

Kaltenbacher is an Austrian mathematician whose research concerns inverse problems, regularization, and PDE-constrained optimization, with applications

Regularized meshless method (1,040 words) [view diff] case mismatch in snippet view article find links to article

some typical problems, such as potential, acoustics, water wave, and inverse problems of bounded and unbounded domains. The RMM employs the double layer

Maeve McCarthy (330 words) [view diff] case mismatch in snippet view article find links to article

McCarthy is an Irish mathematician whose research interests include inverse problems and modelling biological systems. She is the Jesse D. Jones Endowed

PDE-constrained optimization (1,042 words) [view diff] case mismatch in snippet view article find links to article

aerodynamics, computational fluid dynamics, image segmentation, and inverse problems. A standard formulation of PDE-constrained optimization encountered

Wing root (630 words) [view diff] exact match in snippet view article find links to article

root design and optimization". Inverse Problems in Engineering Mechanics. International Symposium on Inverse Problems in Engineering Mechanics. pp. 371–380

Computational geophysics (790 words) [view diff] case mismatch in snippet view article find links to article

fall within the scope of computational geophysics such as tomography, inverse problems, and 3D reconstruction. The generation of geophysical models are a

Toshio Mura (361 words) [view diff] case mismatch in snippet view article find links to article

and composite materials. Professor Mura was also interested in the inverse problems. His research aimed to predict inelastic damages in solids by knowing

Rudolf Inzinger (135 words) [view diff] case mismatch in snippet view article find links to article

contributions to differential geometry, the theory of convex bodies, and inverse problems for sound waves. Born in Vienna, he was a student at the Technische

Konstantin Malkov (216 words) [view diff] case mismatch in snippet view article find links to article

differential equations, numerical analysis, control theory, seismological inverse problems, mathematical methods in economics, and artificial intelligence. He

Quadrature domains (369 words) [view diff] case mismatch in snippet view article find links to article

have in recent years been encountered in various connections such as inverse problems of Newtonian gravitation, Hele-Shaw flows of viscous fluids, and purely

Christine De Mol (257 words) [view diff] case mismatch in snippet view article find links to article

Belgian applied mathematician and mathematical physicist interested in inverse problems, regularization, wavelets, and machine learning, and known for her

Stability (learning theory) (2,656 words) [view diff] case mismatch in snippet view article

studied for many types of learning problems, from language learning to inverse problems in physics and engineering, as it is a property of the learning process

Rosemary Renaut (284 words) [view diff] case mismatch in snippet view article find links to article

American computational mathematician whose research interests include inverse problems and regularization with applications to medical imaging and seismic

Cristina Butucea (139 words) [view diff] case mismatch in snippet view article find links to article

her deep and original contributions to non-parametric statistics, inverse problems, and quantum statistics". Cristina Butucea at the Mathematics Genealogy

Alexander Ramm (4,450 words) [view diff] case mismatch in snippet view article find links to article

differential and integral equations, operator theory, ill-posed and inverse problems, scattering theory, functional analysis, spectral theory, numerical

Wotao Yin (180 words) [view diff] case mismatch in snippet view article find links to article

research in optimization, parallel and distributed computing, and inverse problems. Wotao Yin received his PhD in operations research at Columbia University

Joel Feldman (608 words) [view diff] case mismatch in snippet view article find links to article

surfaces of infinite genus. With Gunther Uhlmann he has written a book on inverse problems. Feldman became a Fellow of the Royal Society of Canada in 1990. In

Singular boundary method (1,161 words) [view diff] case mismatch in snippet view article find links to article

particular, for infinite domain, wave, thin-walled structures, and inverse problems. The methodology of the SBM was firstly proposed by Chen and his collaborators

James A. Morrow (467 words) [view diff] case mismatch in snippet view article find links to article

from several complex variables and differential geometry to discrete inverse problems in the middle of his career. Morrow was born in Little Rock, Arkansas

David Clark Dobson (174 words) [view diff] case mismatch in snippet view article find links to article

structures and devices, data analysis with physical constraints, and inverse problems in acoustics." In 2000 he received the first Felix Klein Prize. From

Peyman Milanfar (358 words) [view diff] case mismatch in snippet view article find links to article

for super-resolution, statistical analysis of performance limits for inverse problems in imaging, and the development of adaptive non-parametric techniques

Eric Lawrence Miller (58 words) [view diff] case mismatch in snippet view article find links to article

Electrical and Electronics Engineers (IEEE) in 2012 for contributions to inverse problems and physics-based signal and image processing. "2012 elevated fellow"

Gennadi Henkin (455 words) [view diff] case mismatch in snippet view article find links to article

mathematical economics, evolution equations, integral geometry, and inverse problems (with applications in seismology and other sciences). In 1983 he was

Maximum entropy thermodynamics (3,612 words) [view diff] case mismatch in snippet view article find links to article

, image reconstruction, signal processing, spectral analysis, and inverse problems). MaxEnt thermodynamics began with two papers by Edwin T. Jaynes published

Aleksei Sveshnikov (1,069 words) [view diff] case mismatch in snippet view article find links to article

research also dealt with inverse problems of synthesis and recognition of multilayer optical coatings, direct and inverse problems of diffraction theory

ECMA-407 (1,132 words) [view diff] case mismatch in snippet view article find links to article

Inverse coding goes back to Victor Ambartsumian's scientific legacy on inverse problems and represents the first solution of its kind in audio by separating

Rogemar Mamon (553 words) [view diff] case mismatch in snippet view article find links to article

risk measurement, filtering to remove noise from data as well as inverse problems in quantitative finance. He was the lead editor of the handbook Hidden

Degasperis–Procesi equation (1,959 words) [view diff] exact match in snippet view article find links to article

"Prolongation algebras and Hamiltonian operators for peakon equations", Inverse Problems, vol. 19, no. 1, pp. 129–145, Bibcode:2003InvPr..19..129H, doi:10

Physics-informed neural networks (4,808 words) [view diff] case mismatch in snippet view article find links to article

neural networks (PINNs) have proven particularly effective in solving inverse problems within differential equations, demonstrating their applicability across

Proximal gradient method (589 words) [view diff] case mismatch in snippet view article find links to article

De Mol, C (2004). "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint". Communications on Pure and Applied Mathematics

Isaac Elishakoff (2,528 words) [view diff] case mismatch in snippet view article find links to article

structural reliability, solid mechanics of composite materials, semi-inverse problems of vibrations and stability, functionally graded material structures

Mumford–Shah functional (848 words) [view diff] exact match in snippet view article find links to article

algorithmic framework for Mumford–Shah regularization of inverse problems in imaging" (PDF), Inverse Problems, 31 (11): 115011, Bibcode:2015InvPr..31k5011H, doi:10

Divergence (statistics) (2,629 words) [view diff] case mismatch in snippet view article

(SED). Minimizing these two divergences is the main way that linear inverse problems are solved, via the principle of maximum entropy and least squares

Mumford–Shah functional (848 words) [view diff] exact match in snippet view article find links to article

algorithmic framework for Mumford–Shah regularization of inverse problems in imaging" (PDF), Inverse Problems, 31 (11): 115011, Bibcode:2015InvPr..31k5011H, doi:10

Additive number theory (605 words) [view diff] exact match in snippet view article find links to article

Zbl 0859.11002. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Angkana Rüland (302 words) [view diff] case mismatch in snippet view article find links to article

work on the mathematical modeling of shape-memory alloys and on the inverse problems arising in animal echolocation. Rüland was born in 1987 in Chiang Mai

Geodesics on an ellipsoid (8,506 words) [view diff] case mismatch in snippet view article find links to article

(Karney 2024). Vincenty (1975) provides solutions for the direct and inverse problems; these are based on a series expansion carried out to third order in

Richard Aster (438 words) [view diff] exact match in snippet view article find links to article

internationally used geophysics/mathematical textbook Parameter Estimation and Inverse Problems, which was published by Elsevier in a third edition in November, 2018

Kaniadakis exponential distribution (2,382 words) [view diff] case mismatch in snippet view article find links to article

quantum theory, in physical analysis using Planck's radiation law; In inverse problems, the κ-exponential distribution has been used to formulate a robust

Block-matching algorithm (2,643 words) [view diff] case mismatch in snippet view article find links to article

filtering makes use of this approach to solve various image restoration inverse problems such as noise reduction and deblurring in both still images and digital

Martin Vetterli (1,125 words) [view diff] case mismatch in snippet view article find links to article

algorithms. Signal processing Communication networks Audio processing Inverse problems and tomography eFacsimile At the core of his laboratory's current research

Tampere University of Technology (2,157 words) [view diff] case mismatch in snippet view article find links to article

Hamming Medal Matti Viikinkoski - PhD, Mathematician specializing in inverse problems Jaakko Puhakka 2018 Mika Hannula 2016–2018 Markku Kivikoski 2008–2016

Convolutional sparse coding (6,082 words) [view diff] case mismatch in snippet view article find links to article

the global sparsity prior, and has shown to be a versatile tool for inverse problems in fields such as image understanding and computer vision. Also, a

Gregory Eskin (365 words) [view diff] exact match in snippet view article find links to article

S2CID 121083501. Eskin, G. (2006). "A new approach to hyperbolic inverse problems". Inverse Problems. 22 (3): 815–831. arXiv:math/0505452. Bibcode:2006InvPr.

Ana Carpio (343 words) [view diff] case mismatch in snippet view article find links to article

Rodríguez is a Spanish applied mathematician whose research has included inverse problems, the propagation of dislocations in crystals, fluid dynamics, reaction–diffusion

Arithmetic combinatorics (956 words) [view diff] exact match in snippet view article find links to article

MR 1395371. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Boundary knot method (1,426 words) [view diff] case mismatch in snippet view article find links to article

volume method (FVM) for infinite domain, thin-walled structures, and inverse problems, thanks to its dimensional reducibility. The major bottlenecks of BEM

Generalized linear array model (862 words) [view diff] exact match in snippet view article find links to article

matrices product for applications of radars" (PDF). Proc. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-97), Lviv.: 73–74

Marie-Therese Wolfram (334 words) [view diff] case mismatch in snippet view article find links to article

of public opinion, including mean-field game theory and the use of inverse problems in transportation theory to infer crowd preferences. She is a professor

Carus Mathematical Monographs (734 words) [view diff] exact match in snippet view article find links to article

Analysis Approach, by Rodney Nillsen, 2010, ISBN 978-0-88385-043-5 Linear Inverse Problems and Tikhonov Regularization, by Mark S. Gockenbach, 2016, ISBN 978-0-88385-141-8

Chadan (110 words) [view diff] exact match in snippet view article find links to article

Brazilian telenovela K. Chadan, with Pierre Sabatier, co-author of Inverse Problems of Quantum Scattering Theory This disambiguation page lists articles

Geostatistics (1,694 words) [view diff] case mismatch in snippet view article find links to article

geostatistics is often used to generate or update spatial models when solving inverse problems. A number of methods exist for both geostatistical estimation and multiple

Kaniadakis Gaussian distribution (1,616 words) [view diff] case mismatch in snippet view article find links to article

the dynamics of the processes of extreme changes in stock prices. In inverse problems, Error laws in extreme statistics are robustly represented by κ-Gaussian

Sumset (370 words) [view diff] exact match in snippet view article find links to article

Zbl 0722.11007. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Space mapping (2,488 words) [view diff] case mismatch in snippet view article find links to article

intelligence. The space mapping methodology can also be used to solve inverse problems. Proven techniques include the Linear Inverse Space Mapping (LISM)

Atmospheric sounding (929 words) [view diff] case mismatch in snippet view article find links to article

Isoline retrieval Optimal estimation Collocation (remote sensing) Inverse problems Satellite meteorology Skew-T log-P diagram Thermodynamic diagrams Egbert

Camassa–Holm equation (5,569 words) [view diff] exact match in snippet view article find links to article

Szmigielski, Jacek (1999), "Multi-peakons and a theorem of Stieltjes", Inverse Problems, 15 (1): L1 – L4, arXiv:solv-int/9903011, Bibcode:1999InvPr..15L..

Shepp–Logan phantom (204 words) [view diff] exact match in snippet view article find links to article

Jennifer L.; Siltanen, Samuli (2012-11-30). Linear and Nonlinear Inverse Problems with Practical Applications. SIAM. pp. 31–. ISBN 978-1-61197-233-7

Gabriel Peyré (761 words) [view diff] case mismatch in snippet view article find links to article

G., Bougleux, S., & Cohen, L. (2008). Non-local regularization of inverse problems. In D. Forsyth, P. Torr, & A. Zisserman (Eds.), Computer vision – ECCV

Shift operator (1,452 words) [view diff] case mismatch in snippet view article find links to article

A. (2006). "The generalized shift, transformation operators, and inverse problems". Mathematical events of the twentieth century. Berlin: Springer. pp

Tampere University (1,523 words) [view diff] exact match in snippet view article find links to article

ProLipids – Biomembrane Research COMP – Computational Nanoscience Research Inverse Problems Research The University also comprises a single Nordic Centre of Excellence:

Partial differential equation (6,795 words) [view diff] case mismatch in snippet view article find links to article

been used to solve partial differential equations in both forward and inverse problems in a data driven manner. One example is the reconstructing fluid flow

Deep learning in photoacoustic imaging (4,275 words) [view diff] case mismatch in snippet view article find links to article

methods like filtered backprojection or time reversal, are ill-posed inverse problems due to sampling under the Nyquist-Shannon's sampling requirement or

Distance (2,230 words) [view diff] case mismatch in snippet view article find links to article

(which holds for squared Euclidean distance) to be used for linear inverse problems in inference by optimization theory. Other important statistical distances

Computer experiment (888 words) [view diff] case mismatch in snippet view article find links to article

arising from unknowns during the computer simulation's construction. Inverse problems: Discover the underlying properties of the system from the physical

Constitutive equation (3,594 words) [view diff] case mismatch in snippet view article find links to article

Hyeonbae Kang (2006). Inverse problems, multi-scale analysis and effective medium theory : workshop in Seoul, Inverse problems, multi-scale analysis,

Karl Kunisch (597 words) [view diff] case mismatch in snippet view article find links to article

Optimization of partial differential equations Mathematical control theory Inverse problems and mathematical imaging Mathematical modelling in medicine Model reduction

Andrey Tikhonov (mathematician) (652 words) [view diff] case mismatch in snippet view article

regularization, one of the most widely used methods to solve ill-posed inverse problems, is named in his honor. He is best known for his work on topology,

Dominique Picard (304 words) [view diff] case mismatch in snippet view article find links to article

she spoke on her work with Gérard Kerkyacharian on "Estimation in inverse problems and second-generation wavelets". She was elected to the National Academy

Probabilistic numerics (4,269 words) [view diff] case mismatch in snippet view article find links to article

removing otherwise necessary nested loops in computation, e.g. in inverse problems. These advantages are essentially the equivalent of similar functional

Fredholm solvability (404 words) [view diff] case mismatch in snippet view article find links to article

for solving inverse problems in mathematical physics", M. Dekker (2000) [5][6] D. G. Orlovskij, "The Fredholm solvability of inverse problems for abstract

Geronimus polynomials (143 words) [view diff] case mismatch in snippet view article find links to article

ISSN 0003-486X, JSTOR 1968164 Lebedev, V. I. (2000), "On the solution of inverse problems and trigonometric forms for the Geronimus polynomials. Application

Longitudinal ray transform (337 words) [view diff] case mismatch in snippet view article find links to article

transform for 3D symmetric tensor fields with sources on a curve." Inverse problems 22.2 (2006): 399. Wensrich, Chris M., et al. "Direct inversion of the

Alemdar Hasanoğlu (243 words) [view diff] case mismatch in snippet view article find links to article

Hasanoğlu include nonlinear differential equations, variational methods, inverse problems, mathematical and computational modeling in engineering sciences. He

Eckhaus equation (456 words) [view diff] exact match in snippet view article find links to article

S. (1987), "The Eckhaus PDE iψt + ψxx+ 2(|ψ|2)x ψ + |ψ|4 ψ = 0", Inverse Problems, 3 (4): 633–682, Bibcode:1987InvPr...3..633C, doi:10.1088/0266-5611/3/4/012

Edward Roy Pike (421 words) [view diff] exact match in snippet view article find links to article

editor, 1988) Photons and Quantum Fluctuations (joint editor, 1988) Inverse Problems in Scattering and Imaging (joint editor, 1991) Photon Correlation and

Scientific Computing and Imaging Institute (769 words) [view diff] case mismatch in snippet view article find links to article

bioelectric fields, scientific visualization, parallel computing, inverse problems, and neuroimaging. The SCI Institute releases open source software

Maciej Zworski (441 words) [view diff] exact match in snippet view article find links to article

Mathematical Society 2012 as editor with Plamen Stefanov and András Vasy: Inverse Problems and Applications. Contemporary Mathematics, vol. 615. American Mathematical

George David Birkhoff Prize (260 words) [view diff] case mismatch in snippet view article find links to article

Gunther Uhlmann "for his fundamental and insightful contributions to inverse problems and partial differential equations, as well as for his incisive work

Lethargy theorem (344 words) [view diff] exact match in snippet view article find links to article

Russell; Wolkowicz, Henry, eds. (2011). Fixed-Point Algorithms for Inverse Problems in Science and Engineering. Springer Optimization and Its Applications

Implied volatility (2,028 words) [view diff] case mismatch in snippet view article find links to article

Salazar Celis, O. (2018). "A parametrized barycentric approximation for inverse problems with application to the Black–Scholes formula". IMA Journal of Numerical

Proximal operator (787 words) [view diff] case mismatch in snippet view article find links to article

Python. ProximalOperators.jl: a Julia package implementing proximal operators. ODL: a Python library for inverse problems that utilizes proximal operators.

Deep learning (17,772 words) [view diff] case mismatch in snippet view article find links to article

improve ad selection. Deep learning has been successfully applied to inverse problems such as denoising, super-resolution, inpainting, and film colorization

Mikko Tuomi (836 words) [view diff] case mismatch in snippet view article find links to article

Institutions University of Turku University of Hertfordshire Thesis Multidata inverse problems and Bayesian solution methods in astronomy (2013) Doctoral advisor

MSU Faculty of Computational Mathematics and Cybernetics (795 words) [view diff] exact match in snippet view article find links to article

Laboratory of Heat and Mass Transfer Processes Simulation Laboratory of Inverse Problems Laboratory of Mathematical Methods of Image Processing Laboratory of

Machine learning in physics (2,264 words) [view diff] case mismatch in snippet view article find links to article

been used to solve partial differential equations in both forward and inverse problems in a data driven manner. One example is the reconstructing fluid flow

Generalized arithmetic progression (548 words) [view diff] exact match in snippet view article find links to article

1966.16.285. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165. Springer

Chambolle-Pock algorithm (2,970 words) [view diff] case mismatch in snippet view article find links to article

a typical configuration that commonly arises in ill-posed imaging inverse problems such as image reconstruction, denoising and inpainting. The algorithm

Total variation denoising (1,292 words) [view diff] exact match in snippet view article find links to article

and scale-dependent properties of total variation regularization". Inverse Problems. 19 (6): S165 – S187. Bibcode:2003InvPr..19S.165S. doi:10.1088/0266-5611/19/6/059

Leslie Hogben (552 words) [view diff] exact match in snippet view article find links to article

other books. She is the author (with Jephian Lin and Bryan Shader) of Inverse Problems and Zero Forcing for Graphs (AMS, 2022) and the author of the textbook

Breakthrough Prize in Mathematics (1,426 words) [view diff] case mismatch in snippet view article find links to article

microstructure in solid-solid phase transitions and the theory of inverse problems." 2025 Ewain Gwynne, University of Chicago - "for his work in conformal

Department of Mathematics, University of Manchester (1,613 words) [view diff] case mismatch in snippet view article find links to article

the more applied dynamical system, fluid dynamics, solid mechanics, inverse problems, mathematical finance, wave propagation and scattering. The department

Fredholm integral equation (1,056 words) [view diff] case mismatch in snippet view article find links to article

linear filters. They also commonly arise in linear forward modeling and inverse problems. In physics, the solution of such integral equations allows for experimental

George Pólya Award (120 words) [view diff] exact match in snippet view article find links to article

Differentials 1994 Dan Kalman Six Ways to Sum a Series 1994 Charles Groetsch Inverse Problems and Torricelli’s Law 1993 Dana N. Mackenzie Triquetras and Porisms

Boundary particle method (763 words) [view diff] exact match in snippet view article find links to article

"Boundary particle method for Cauchy inhomogeneous potential problems". Inverse Problems in Science and Engineering 2012,20(2): 189–207 Chen W, Fu ZJ, "Boundary

Gabor Herman (718 words) [view diff] exact match in snippet view article find links to article

Superiorization: Theory and Applications, Special Issue of the journal Inverse Problems, Volume 33, Number 4, April 2017 Udupa, J. K.; Herman, G. T. (2000)

Dykstra's projection algorithm (627 words) [view diff] exact match in snippet view article find links to article

splitting methods in signal processing," in: Fixed-Point Algorithms for Inverse Problems in Science and Engineering, (H. H. Bauschke, R. S. Burachik, P. L.

Bernhard Riemann (2,926 words) [view diff] case mismatch in snippet view article find links to article

in a competition with Weierstrass since 1857 to solve the Jacobian inverse problems for abelian integrals, a generalization of elliptic integrals. Riemann

Francesco Siacci (594 words) [view diff] case mismatch in snippet view article find links to article

(Siacci's theorem, rigid body dynamics, canonical transformations, and inverse problems) and mathematics (theory of conic sections, Riccati differential equation

Single-photon emission computed tomography (2,663 words) [view diff] exact match in snippet view article find links to article

application in single-photon emission computed tomography (SPECT)". Inverse Problems and Imaging. 8: 88–97. arXiv:1209.6116. doi:10.3934/ipi.2014.8.223

Rice distribution (3,150 words) [view diff] exact match in snippet view article find links to article

speed image computed using arrival times at fixed spatial positions.", Inverse Problems 33.5 (2017): 055012. Abramowitz and Stegun (1968) §13.5.1 Talukdar

Charles W. Groetsch (419 words) [view diff] case mismatch in snippet view article find links to article

to him in honor of his “fundamental contributions to the field of inverse problems.” Groetsch, Carl William (1971). "Convex iteration procedures and a

Minkowski's second theorem (843 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-61788-4. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Zero-sum problem (542 words) [view diff] exact match in snippet view article find links to article

Zbl 1221.20045. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Shape optimization (1,709 words) [view diff] exact match in snippet view article find links to article

Burger, M.; Osher, S.L. (2005) A Survey on Level Set Methods for Inverse Problems and Optimal Design. European Journal of Applied Mathematics, vol.16

Alex Grossmann (1,271 words) [view diff] exact match in snippet view article find links to article

Jean-Michel; Grossmann, Alexander; Tchamitchian, Philippe (eds.). Wavelets. Inverse Problems and Theoretical Imaging. Berlin, Heidelberg: Springer. pp. 139–146

Bôcher Memorial Prize (2,146 words) [view diff] case mismatch in snippet view article find links to article

and Bruce Kleiner] 2011 Gunther Uhlmann for "his fundamental work on inverse problems" including The Calderón problem with partial data. Ann. of Math. (2)

Levenberg–Marquardt algorithm (3,211 words) [view diff] case mismatch in snippet view article find links to article

doi:10.1137/0715063. Pujol, Jose (2007). "The solution of nonlinear inverse problems and the Levenberg-Marquardt method". Geophysics. 72 (4). SEG: W1 –

List of women in mathematics (23,282 words) [view diff] case mismatch in snippet view article find links to article

nonconvex optimization Margaret Cheney (born 1955), American expert on inverse problems Eugenia Cheng, English category theorist and pianist, uses analogies

Minkowski addition (2,977 words) [view diff] exact match in snippet view article find links to article

MR 1451876. Nathanson, Melvyn B. (1996), Additive Number Theory: Inverse Problems and Geometry of Sumsets, GTM, vol. 165, Springer, Zbl 0859.11003. Oks

Hadamard matrix (3,716 words) [view diff] case mismatch in snippet view article find links to article

sensing for signal processing and under-determined linear systems (inverse problems) Quantum Hadamard gate for quantum computing and the Hadamard transform

Computational photography (1,471 words) [view diff] case mismatch in snippet view article find links to article

computational imaging, such as digital holography, computer vision and inverse problems such as tomography. This is processing of non-optically-coded images

PSeven (667 words) [view diff] case mismatch in snippet view article find links to article

Aircrafts [sic] Family at Conceptual Design Stage", IPDO 2013 : 4th Inverse problems, design and optimization symposium, 2013 June 26–28, Albi, ed. by O

Graduate Texts in Mathematics (5,056 words) [view diff] exact match in snippet view article find links to article

Nathanson (1996, ISBN 978-0-387-94656-6) Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Melvyn B. Nathanson (1996, ISBN 978-0-387-94655-9)

Omar Ghattas (188 words) [view diff] case mismatch in snippet view article find links to article

Prize (2003, 2015) Scientific career Fields Computational mechanics Inverse problems Uncertainty quantification Institutions Carnegie Mellon University

Michael Unser (706 words) [view diff] exact match in snippet view article find links to article

Michael (September 2017). "Deep Convolutional Neural Network for Inverse Problems in Imaging". IEEE Transactions on Image Processing. 26 (9): 4509–4522

Gregory Beylkin (360 words) [view diff] case mismatch in snippet view article find links to article

chemistry, gravity field evaluation and estimation, wave propagation and inverse problems. A number of algorithms developed by Gregory Beylkin and his group

Naoki Saito (mathematician) (437 words) [view diff] exact match in snippet view article

the editorial board of Applied and Computational Harmonic Analysis, Inverse Problems and Imaging, and Journal of Mathematical Imaging and Vision. Saito

Davenport constant (940 words) [view diff] exact match in snippet view article find links to article

– via NUMDAM. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Gregory Freiman (606 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-7643-8961-1. MR 2522038. Nathanson, M. B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Carlos Conca (1,103 words) [view diff] case mismatch in snippet view article find links to article

diverse applied areas of his field of study including mean-atmosphere, inverse problems in climatology and oceanography, numerical simulation in fusion and

Image registration (2,588 words) [view diff] exact match in snippet view article find links to article

Modersitzki: Ill-posed medicine – an introduction to image registration. Inverse Problems, 24:1–19, 2008 Barbara Zitová, Jan Flusser: Image registration methods:

Great ellipse (1,353 words) [view diff] case mismatch in snippet view article find links to article

GeographicLib 1.38.{{cite web}}: CS1 maint: postscript (link) Matlab implementation of the solutions for the direct and inverse problems for great ellipses.

Edward B. Curtis (389 words) [view diff] case mismatch in snippet view article find links to article

doi:10.1016/0001-8708(71)90015-6. MR 0279808. with James A. Morrow: Inverse problems for electrical networks. Series on applied mathematics. Vol. 13. Singapore:

Liliana Borcea (336 words) [view diff] case mismatch in snippet view article find links to article

propagation in random media, array imaging in complex environments, and inverse problems in high-contrast electrical impedance tomography, as well as model

Degrees of freedom (statistics) (4,530 words) [view diff] exact match in snippet view article

Trautmann, Franz Schreier (2010), Numerical Regularization for Atmospheric Inverse Problems, Springer (eq.(4.26), p. 114) D. Dong, T. A. Herring and R. W. King

Calculus (8,785 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-444-50871-3. [Newton] immediately realised that quadrature problems (the inverse problems) could be tackled via infinite series: as we would say nowadays, by

RWTH Aachen University (3,534 words) [view diff] case mismatch in snippet view article find links to article

AICES is broadly in the area of Computational engineering, solving inverse problems that find applications in mathematics, computer science and engineering

Sparse approximation (2,212 words) [view diff] case mismatch in snippet view article find links to article

learning K-SVD Lasso (statistics) Regularization (mathematics) and inverse problems Donoho, D.L. and Elad, M. (2003). "Optimally sparse representation

Gradient descent (5,600 words) [view diff] exact match in snippet view article find links to article

V.; Luke, D. R.; Wolkowicz, H. (eds.). Fixed-Point Algorithms for Inverse Problems in Science and Engineering. New York: Springer. pp. 185–212. arXiv:0912

Saint-Venant's compatibility condition (1,445 words) [view diff] case mismatch in snippet view article find links to article

"Inversion of the x-ray transform for 3D symmetric tensor fields with sources on a curve." Inverse problems 22.2 (2006): 399. Compatibility (mechanics)

Graduate Studies in Mathematics (4,664 words) [view diff] exact match in snippet view article find links to article

Sobolev Spaces, Giovanni Leoni (2023, ISBN 978-1-4704-6898-9) 230 Inverse Problems for Fractional Partial Differential Equations, Barbara Kaltenbacher

Melvyn B. Nathanson (1,201 words) [view diff] exact match in snippet view article find links to article

ISBN 978-0-387-94656-6. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Bidirectional reflectance distribution function (2,885 words) [view diff] case mismatch in snippet view article find links to article

(see the rendering equation), as well as in computer vision for many inverse problems such as object recognition. BRDF has also been used for modeling light

Magnetoencephalography (5,006 words) [view diff] case mismatch in snippet view article find links to article

estimated from measured data (the SQUID signals) are referred to as inverse problems (in contrast to forward problems where the model parameters (e.g. source

Vincenty's formulae (2,699 words) [view diff] case mismatch in snippet view article find links to article

PC-executable calculation utilities, including forward (direct) and inverse problems, in both two and three dimensions (accessed 2011-08-01). Online calculators

International Federation for Information Processing (4,167 words) [view diff] exact match in snippet view article find links to article

Techniques in Distributed Systems WG 7.3 Computer System Modeling WG 7.4 Inverse Problems and Imaging WG 7.5 Reliability and Optimization of Structural Systems

Vlad Voroninski (621 words) [view diff] case mismatch in snippet view article find links to article

recently, Voroninski's research connected the fields of deep learning and inverse problems, resolving the sample complexity bottleneck for compressive phase retrieval

Laure Blanc-Féraud (253 words) [view diff] case mismatch in snippet view article find links to article

2022, Blanc-Féraud was named an IEEE Fellow "for contributions to inverse problems in image processing". Curriculum vitae (PDF), retrieved 2022-02-18

Kneser's theorem (combinatorics) (1,067 words) [view diff] exact match in snippet view article

(2009, p. 143) Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Future of mathematics (1,959 words) [view diff] case mismatch in snippet view article find links to article

and non-linear problems, and between forward problems (one step) and inverse problems (iteration), and between algebraic and analytic problems, will fade

Mario Bunge (3,320 words) [view diff] case mismatch in snippet view article find links to article

(Galicia), Grupo Aletheia. [Includes articles in Spanish by M. Bunge (Inverse problems), J. Aracil (MB and systems theory), A. Barceló (Philosophy and economics:

List of geophysicists (3,340 words) [view diff] case mismatch in snippet view article find links to article

William Bowie Medal Albert Tarantola (Spanish, 1949–2009) – geophysical inverse problems; Maurice Ewing Medal (SEG) Pierre Tardi (French, 1897–1972) – geodesist

Oleg Nagornov (389 words) [view diff] case mismatch in snippet view article find links to article

Medal, IV class (2012). The scope of scientific interests includes inverse problems of mathematical physics, mathematical models in paleoclimatology, Numerical

Avinash Kak (1,105 words) [view diff] exact match in snippet view article find links to article

iterative algorithms in signal processing and image reconstruction. Inverse Problems 20 103 (2004) Jiang, M. and Ge Wang, "Convergence of the simultaneous

Convolution (8,819 words) [view diff] exact match in snippet view article find links to article

matrices product for applications of radars" (PDF). Proc. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-97), Lviv.: 73–74

Borel–Kolmogorov paradox (2,543 words) [view diff] case mismatch in snippet view article find links to article

Mosegaard, Klaus; Tarantola, Albert (2002). "16 Probabilistic approach to inverse problems". International Handbook of Earthquake and Engineering Seismology.

Bayesian inference (8,942 words) [view diff] exact match in snippet view article find links to article

Borchers, Brian, and Thurber, Clifford (2012). Parameter Estimation and Inverse Problems, Second Edition, Elsevier. ISBN 0123850487, ISBN 978-0123850485 Bickel

Victor Panaretos (486 words) [view diff] exact match in snippet view article find links to article

Statistics Institutions École Polytechnique Fédérale de Lausanne Thesis Inverse Problems, Stochastic Geometry, Structural Biology (2007) Doctoral advisor David

Abraham Ginzburg (840 words) [view diff] exact match in snippet view article find links to article

Zbl 1221.20045. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

One-way wave equation (1,559 words) [view diff] exact match in snippet view article find links to article

equation migration arising from true amplitude one-way wave equations". Inverse Problems. 19 (5): 1113–1138. Bibcode:2003InvPr..19.1113Z. doi:10.1088/0266-5611/19/5/307

Khatri–Rao product (4,395 words) [view diff] case mismatch in snippet view article find links to article

approaches to data analytical processing and in optimizing the solution of inverse problems dealing with a diagonal matrix. In 1996 the column-wise Khatri–Rao

Step detection (1,943 words) [view diff] exact match in snippet view article find links to article

and scale-dependent properties of total variation regularization". Inverse Problems. 19 (6): S165 – S187. Bibcode:2003InvPr..19S.165S. doi:10.1088/0266-5611/19/6/059

Inverse transform sampling (2,085 words) [view diff] case mismatch in snippet view article find links to article

Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane (2019). "Solving inverse problems using data-driven models". Acta Numerica. 28: 1–174. doi:10.1017/S0962492919000059

Michael Elad (524 words) [view diff] case mismatch in snippet view article find links to article

image processing and machine learning, specializing in particular on inverse problems, sparse representations and generative AI. Elad has authored hundreds

IIT Tirupati (3,088 words) [view diff] exact match in snippet view article find links to article

Point Theory, Partial Differential Equations, Numerical Analysis, Inverse Problems, Industrial Mathematics, Mathematical Modelling, Generalized Linear

Tensor sketch (4,517 words) [view diff] exact match in snippet view article find links to article

matrices product for applications of radars" (PDF). Proc. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-97), Lviv.: 73–74

Katz centrality (1,910 words) [view diff] case mismatch in snippet view article find links to article

Grindrod; Desmond J. Higham. (2010). "Evolving graphs: Dynamical models, inverse problems and propagation". Proc. R. Soc. A. 466 (2115): 753–770. Bibcode:2010RSPSA

Lourdes Agapito (558 words) [view diff] exact match in snippet view article find links to article

member of the Vision and Imaging Science group and the Centre for Inverse Problems. Agapito's major research interests are in computer vision. In particular

Restricted sumset (1,309 words) [view diff] exact match in snippet view article find links to article

Zbl 1177.11005. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165

Kronecker product (6,085 words) [view diff] exact match in snippet view article find links to article

operations of matrices product for applications of radars (PDF). Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-97), Lviv. pp. 73–74

Georges A. Deschamps (845 words) [view diff] case mismatch in snippet view article find links to article

Deschamps, G.; Cabayan, H. (1972). "Antenna synthesis and solution of inverse problems by regularization methods". IEEE Transactions on Antennas and Propagation

Integral equation (5,605 words) [view diff] case mismatch in snippet view article find links to article

(ruin theory) Computational electromagnetics Boundary element method Inverse problems Marchenko equation (inverse scattering transform) Options pricing under

Ronald Aarts (1,244 words) [view diff] case mismatch in snippet view article find links to article

Zernike polynomials, known as ENZ, was applied to solve forward and inverse problems in acoustic radiation of a flexible circular piston surrounded by a

Helioseismology (5,445 words) [view diff] case mismatch in snippet view article find links to article

sensitive to its continuous structure. This allows scientists to formulate inverse problems for the Sun's interior structure and dynamics. Given a reference model

J. Carlos Santamarina (621 words) [view diff] exact match in snippet view article find links to article

508 pages. 2001. ISBN 978-0-471-49058-6. Link: Discrete Signals and Inverse Problems. JC Santamarina and D Fratta. Wiley, 364 pages. 2005. ISBN 978-0-470-02187-3

Geographical distance (4,054 words) [view diff] case mismatch in snippet view article find links to article

names: authors list (link) Bowring, B. R. (1981). "The direct and inverse problems for short geodesic lines on the ellipsoid". Surveying and Mapping.

Hybrid input-output algorithm (576 words) [view diff] case mismatch in snippet view article find links to article

org/cgi-bin/paper?S0907444900008970 1.Luke Russel D, “Relaxed averaged alternating reflections for diffraction imaging” Inverse problems, (2005) 21, 37-50

Compressed sensing (5,874 words) [view diff] case mismatch in snippet view article find links to article

CS-enhanced approaches in signal processing and compression, solution of inverse problems, design of radiating systems, radar and through-the-wall imaging, and

Dyson's transform (523 words) [view diff] exact match in snippet view article find links to article

theorem. Nathanson, Melvyn B. (1996-08-22). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Springer Science & Business Media.

Freeman Dyson (8,580 words) [view diff] exact match in snippet view article find links to article

February 2017. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and the Geometry of Sumsets. Springer. ISBN 978-0-387-94655-9. Odlyzko

Stefan problem (2,760 words) [view diff] exact match in snippet view article find links to article

Kirsch, Andreas (1996), Introduction to the Mathematical Theory of Inverse Problems, Applied Mathematical Sciences series, vol. 120, Berlin–Heidelberg–New

AWM-SIAM Sonia Kovalevsky Lecture (771 words) [view diff] exact match in snippet view article find links to article

McLaughlin, Rensselaer Polytechnic Institute, “Interior Elastodynamics Inverse Problems: Creating Shear Wave Speed Images of Tissue” 2005 Ingrid Daubechies

Bani K. Mallick (376 words) [view diff] case mismatch in snippet view article find links to article

Keyes, D., Mallick, B., Tenorio, L. and Wilcox, K. (2011) Large scale inverse problems and quantification of Uncertainty, Wiley, International Dey, D., Ghosh

Daniele Cassani (373 words) [view diff] case mismatch in snippet view article find links to article

Theory, Best constants in functional inequalities, Maximum principle, Inverse problems, and Image processing. "CASSANI DANIELE". Università degli studi dell'Insubria

Viktor Ambartsumian (11,930 words) [view diff] exact match in snippet view article find links to article

Archived from the original (PDF) on 10 May 2018. Anger, Gottfried (1990). Inverse Problems in Differential Equations. Akademie-Verlag Berlin. p. 224. ISBN 9780306431647

Wigner's friend (4,516 words) [view diff] exact match in snippet view article find links to article

Grandy, Walter T. Jr. (eds.). Maximum-Entropy and Bayesian Methods in Inverse Problems. Reidel. pp. 377–398. von Baeyer, Hans Christian (2016). QBism: The

Wigner's friend (4,516 words) [view diff] exact match in snippet view article find links to article

Grandy, Walter T. Jr. (eds.). Maximum-Entropy and Bayesian Methods in Inverse Problems. Reidel. pp. 377–398. von Baeyer, Hans Christian (2016). QBism: The

Alexander Samarskii (881 words) [view diff] case mismatch in snippet view article find links to article

Publishers, with P.N. Vabishchevich:Numerical methods for solving inverse problems of mathematical physics. Walter de Gruyte Berlin, NY de Gruyter, 2007

Calculus on finite weighted graphs (3,908 words) [view diff] case mismatch in snippet view article find links to article

denoising image segmentation image inpainting tomographic reconstruction inverse problems data clustering point cloud compression hand-written digit recognition

Javad Mashreghi (1,065 words) [view diff] exact match in snippet view article find links to article

Chung, P. Gonzalez Casanova, J. Mashreghi, Harmonic Analysis and Inverse Problems, Sampling Theory in Signal and Image Processing, 2018. J. Mashreghi

Proximal gradient methods for learning (3,193 words) [view diff] exact match in snippet view article find links to article

minimization of ℓ 1 {\displaystyle \ell _{1}} -penalized functionals". Inverse Problems. 25 (3): 035008. arXiv:0710.4082. Bibcode:2009InvPr..25c5008L. doi:10

Mixture model (7,792 words) [view diff] exact match in snippet view article find links to article

1109/TSP.2007.907912. S2CID 15583243. Yu, Guoshen (2012). "Solving Inverse Problems with Piecewise Linear Estimators: From Gaussian Mixture Models to Structured

Low-rank approximation (3,884 words) [view diff] exact match in snippet view article find links to article

variable projection method and its applications, Institute of Physics, Inverse Problems, Volume 19, 2003, Pages 1-26. Chu, Moody T.; Funderlic, Robert E.;

Synthetic-aperture radar (11,260 words) [view diff] exact match in snippet view article find links to article

P. Hartl (August 1998). "Synthetic aperture radar interferometry". Inverse Problems. 14 (4): R1 – R54. Bibcode:1998InvPr..14R...1B. doi:10.1088/0266-5611/14/4/001

Robert J. Marks II (3,574 words) [view diff] case mismatch in snippet view article find links to article

network applications in environmental sciences. Part I: forward and inverse problems in geophysical remote measurements," Neural Networks, Volume 16, Issues

Matrix representation of Maxwell's equations (3,267 words) [view diff] case mismatch in snippet view article find links to article

Maxwell's equations in terms of a spinor notation: the direct and inverse problems. Physical Review, 113(6), 1670–1679. Panofsky, W. K. H., and Phillips

Reflection seismology (10,220 words) [view diff] case mismatch in snippet view article find links to article

physical properties of the Earth's crust. In common with other types of inverse problems, the results obtained from reflection seismology are usually not unique

Wasserstein metric (5,194 words) [view diff] case mismatch in snippet view article find links to article

of cytometry datasets. The Wasserstein metric also has been used in inverse problems in geophysics. The Wasserstein metric is used in integrated information

Freiman's theorem (2,928 words) [view diff] exact match in snippet view article find links to article

Zbl 0203.35305. Nathanson, Melvyn B. (1996). Additive Number Theory: Inverse Problems and Geometry of Sumsets. Graduate Texts in Mathematics. Vol. 165. Springer

Ensemble Kalman filter (3,897 words) [view diff] case mismatch in snippet view article find links to article

h {\displaystyle h} is called the observation function or, in the inverse problems context, the forward operator. The value of h ( x ) {\displaystyle

Charles Anthony Micchelli (1,589 words) [view diff] exact match in snippet view article find links to article

Yuesheng (2011). "Proximity algorithms for image models: Denoising". Inverse Problems. 27 (4): 045009. Bibcode:2011InvPr..27d5009M. doi:10.1088/0266-5611/27/4/045009

Chopping (astronomy) (580 words) [view diff] exact match in snippet view article

"Restoration of chopped and nodded images in infrared astronomy". Inverse Problems. 15 (2): 345–372. Bibcode:1999InvPr..15..345B. doi:10.1088/0266-5611/15/2/002

Akira Ishimaru (773 words) [view diff] case mismatch in snippet view article find links to article

interests object detection and imaging in cluttered environments, inverse problems, wave propagation and scattering in the atmosphere and the terrain

Singular value decomposition (14,584 words) [view diff] case mismatch in snippet view article find links to article

processing). The SVD is also applied extensively to the study of linear inverse problems and is useful in the analysis of regularization methods such as that

Levent Gürel (1,077 words) [view diff] case mismatch in snippet view article find links to article

research interests. Prof. Gürel is also interested in the solution of inverse problems, subsurface scattering, ground penetrating radars, and medical imaging

Clarice Poon (312 words) [view diff] case mismatch in snippet view article find links to article

analysis of large-scale optimisation schemes aimed at solving ill-posed inverse problems and advancing supervised machine learning techniques". Citation for

Kaniadakis distribution (1,670 words) [view diff] case mismatch in snippet view article find links to article

de Araújo, João M.; Corso, Gilberto (2021). "Robust approaches for inverse problems based on Tsallis and Kaniadakis generalised statistics". The European

Self-buckling (1,596 words) [view diff] exact match in snippet view article find links to article

Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions of Semi-Inverse Problems, CRC Press, Boca Raton, 2005, XIV + pp. 729; ISBN 0-8493-2892-6.

Image segmentation (9,699 words) [view diff] case mismatch in snippet view article find links to article

where its definition reflects the task to be addressed. As for most inverse problems, the minimization of the cost functional is non-trivial and imposes

Johnson–Lindenstrauss lemma (5,136 words) [view diff] exact match in snippet view article find links to article

matrices product for applications of radars" (PDF), Proc. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-97), Lviv.: 73–74

Vadym Slyusar (1,986 words) [view diff] exact match in snippet view article find links to article

matrices product for applications of radars" (PDF). Proc. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-97), Lviv.: 73–74

Computational human phantom (4,431 words) [view diff] exact match in snippet view article find links to article

Jennifer L.; Siltanen, Samuli (2012-11-30). Linear and Nonlinear Inverse Problems with Practical Applications. SIAM. pp. 31–. ISBN 9781611972337. Retrieved

K-transform (1,120 words) [view diff] case mismatch in snippet view article find links to article

Jian; Zhou, Hanming (2021). "Single pixel X-ray transform and related inverse problems". arXiv:2112.13978 [math.AP]. Fichtlscherer, Christopher (19 August

Poisson point process (15,356 words) [view diff] exact match in snippet view article find links to article

Vicidomini. Image deblurring with poisson data: from cells to galaxies. Inverse Problems, 25(12):123006, 2009. "The Color of Noise". F. Baccelli and B. Błaszczyszyn

Quantitative remote sensing (630 words) [view diff] case mismatch in snippet view article find links to article

(atmospheric) sciences has been well understood. However, the model-based inverse problems for Earth surface received much attention by scientists only in recent

Svetlana Yanushkevich (389 words) [view diff] exact match in snippet view article find links to article

P. Shmerko and Sergey Edward Lyshevski, CRC Press, 2004) Biometric Inverse Problems (with Adrian Stoica and Vlad P. Shmerko, CRC Press, 2005) Decision

Shearlet (2,649 words) [view diff] case mismatch in snippet view article find links to article

{\mathcal {R}}} . Image processing and computer sciences Denoising Inverse problems Image enhancement Edge detection Inpainting Image separation PDEs Resolution

Yakov Feld (1,076 words) [view diff] case mismatch in snippet view article find links to article

nonselfadjoint operators and Hilbert metric); Developed methods for solving inverse problems of Antenna theory (Antenna Synthesis); Shown that the field of any

Bayesian quadrature (2,588 words) [view diff] case mismatch in snippet view article find links to article

(2017). "Probabilistic numerical methods for PDE-constrained Bayesian inverse problems". Bayesian Inference and Maximum Entropy Methods in Science and Engineering

Foldy–Wouthuysen transformation (3,101 words) [view diff] case mismatch in snippet view article find links to article

Maxwell's equations in terms of a spinor notation: the direct and inverse problems". Physical Review. 113 (6): 1670–1679. Bibcode:1959PhRv..113.1670M

Zernike polynomials (6,470 words) [view diff] case mismatch in snippet view article find links to article

"A generalization of the Zernike circle polynomials for forward and inverse problems in diffraction theory". arXiv:1110.2369 [math-ph]. Mathar, R. J. (2018)

Confidence distribution (4,054 words) [view diff] exact match in snippet view article find links to article

(CD)-Distribution Estimator of a Parameter", in Complex Datasets and Inverse Problems IMS Lecture Notes—Monograph Series, 54, (R. Liu, et al. Eds) 132–150

Vector logic (3,789 words) [view diff] case mismatch in snippet view article find links to article

Physica D, 168–169, 386–396 beim Graben, P., Potthast, R. (2009). Inverse problems in dynamic cognitive modeling. Chaos, 19, 015103 beim Graben, P., Pinotsis

Iterative rational Krylov algorithm (1,733 words) [view diff] case mismatch in snippet view article find links to article

important applications, such as in the analysis of RC circuits and in inverse problems involving 3D Maxwell's equations. For SSS systems with distinct poles

Alain Goriely (2,750 words) [view diff] case mismatch in snippet view article find links to article

(2014-09-08). "The geometry of discombinations and its applications to semi-inverse problems in anelasticity". Proceedings of the Royal Society A: Mathematical

Photon-counting computed tomography (2,576 words) [view diff] exact match in snippet view article find links to article

traditional, filtered back-projection for image reconstruction?". Inverse Problems. 25 (12): 123009. doi:10.1088/0266-5611/25/12/123009. ISSN 0266-5611

Linear seismic inversion (4,036 words) [view diff] case mismatch in snippet view article find links to article

Gilbert. 1967. "Numerical applications of a formalism for geophysical inverse problems". Geophysical Journal of the Royal Astronomical Society. 13 (1–3):

Alik Ismail-Zadeh (2,746 words) [view diff] case mismatch in snippet view article find links to article

Scientific results obtained by him and his group are as follows: Inverse problems and data assimilation Introduction of data assimilation in models of

List of fellows of IEEE Aerospace and Electronic Systems Society (57 words) [view diff] case mismatch in snippet view article find links to article

millimeter-wave circuits 1991 W. Ross Stone For contributions to the fields of inverse problems and computational eletromagnetics William Delaney For leadership in

Andreas Mandelis (3,249 words) [view diff] case mismatch in snippet view article find links to article

products (steels, metal composites, nano-coatings), thermophysical inverse problems in solids and industrial materials, and biomedical and dental disease

Vincent Hayward (2,089 words) [view diff] exact match in snippet view article find links to article

4188–4193 Wang, Q., Hayward, V., « Tactile Synthesis and Perceptual Inverse Problems Seen from the View Point of Contact Mechanics », ACM Transactions on

Kaczmarz method (4,851 words) [view diff] exact match in snippet view article find links to article

Borchers, Brian; Thurber, Clifford (2004), Parameter Estimation and Inverse Problems, Elsevier Strohmer, Thomas; Vershynin, Roman (2009), "A randomized

Anders Dale (3,455 words) [view diff] case mismatch in snippet view article find links to article

thesis work at UCSD, he said, “was on the EEG and MEG forward and inverse problems, and how to use anatomical information to constrain the solutions.

Piet Groeneboom (1,465 words) [view diff] exact match in snippet view article find links to article

Wellner, Jon A., eds. (2007). Asymptotics: Particles, Processes and Inverse Problems: A Festschrift for Piet Groeneboom. Lecture Notes–Monograph Series

Three-dimensional electrical capacitance tomography (5,057 words) [view diff] exact match in snippet view article find links to article

1109/jsen.2007.891952. S2CID 37974474. Hansen, P.C. (2010). Discrete Inverse Problems: Insight and Algorithms. Ser. Fundamentals of Algorithms, N. J. Higham

Mercator 1569 world map (6,309 words) [view diff] case mismatch in snippet view article find links to article

that he introduces the Organum Directorium and also addresses the inverse problems: given the initial point and the direction and distance of the second

Roland N. Horne (1,507 words) [view diff] case mismatch in snippet view article find links to article

research focuses on matching models to reservoir responses through inverse problems that infer unknown reservoir parameters instead of measuring them directly

Michael Zhdanov (1,636 words) [view diff] case mismatch in snippet view article find links to article

geophysical inverse theory, providing unified solutions for ill-posed inverse problems in the framework of Tikhonov regularization. With his graduate student

List of Guggenheim Fellowships awarded in 1970 (4,181 words) [view diff] case mismatch in snippet view article find links to article

Science George E. Backus University of California, San Diego Geophysical inverse problems Also won in 1963 Gary H. Higgins Lawrence Radiation Laboratory Evolution

Theory of functional connections (2,976 words) [view diff] case mismatch in snippet view article find links to article

neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations". Journal of Computational

Seismic velocity structure (7,562 words) [view diff] case mismatch in snippet view article find links to article

data, leading to non-unique solutions. This issue is compounded when inverse problems are poorly conditioned, where small data variations can suggest drastically

List of fellows of IEEE Communications Society (86 words) [view diff] case mismatch in snippet view article find links to article

instrumentation 1991 WRoss Stone For contributions to the fields of inverse problems and computational electromagnetics 1991 Leonid Kazovsky For contributions

List of works by Petr Vaníček (77 words) [view diff] exact match in snippet view article find links to article

problem to be regularized. Proceedings of the International Conference "Inverse Problems: Principles and Applications in Geophysics, Technology and Medicine"

List of fellows of IEEE Computer Society (124 words) [view diff] case mismatch in snippet view article find links to article

computer education. 1991 W. Ross Stone For contributions to the fields of inverse problems and computational eletromagnetics. 2005 Bjarne Stroustrup For contributions