Related Research Articles
Paris Diderot University, also known as Paris 7, was a French university located in Paris, France. It was one of the seven universities of the Paris public higher education academy. The university became a member of the Sorbonne Paris University Group on March 31, 2010. It merged with the Paris Descartes University in 2019, gaining its new appellation, the University of Paris.
Stanley Osher is an American mathematician, known for his many contributions in shock capturing, level-set methods, and PDE-based methods in computer vision and image processing. Osher is a professor at the University of California, Los Angeles (UCLA), Director of Special Projects in the Institute for Pure and Applied Mathematics (IPAM) and member of the California NanoSystems Institute (CNSI) at UCLA.
As applied in the field of computer vision, graph cut optimization can be employed to efficiently solve a wide variety of low-level computer vision problems, such as image smoothing, the stereo correspondence problem, image segmentation, object co-segmentation, and many other computer vision problems that can be formulated in terms of energy minimization. Many of these energy minimization problems can be approximated by solving a maximum flow problem in a graph. Under most formulations of such problems in computer vision, the minimum energy solution corresponds to the maximum a posteriori estimate of a solution. Although many computer vision algorithms involve cutting a graph, the term "graph cuts" is applied specifically to those models which employ a max-flow/min-cut optimization.
Donald Jay Geman is an American applied mathematician and a leading researcher in the field of machine learning and pattern recognition. He and his brother, Stuart Geman, are very well known for proposing the Gibbs sampler and for the first proof of the convergence of the simulated annealing algorithm, in an article that became a highly cited reference in engineering. He is a Professor at the Johns Hopkins University and simultaneously a visiting professor at École Normale Supérieure de Cachan.
George C. Papanicolaou is a Greek-American mathematician who specializes in applied and computational mathematics, partial differential equations, and stochastic processes. He is currently the Robert Grimmett Professor in Mathematics at Stanford University.
Albert Turner Bharucha-Reid was an American mathematician and theorist who worked extensively on probability theory, Markov chains, and statistics. The author of more than 70 papers and 6 books, his work touched on such diverse fields as economics, physics, and biology.
Stuart Alan Geman is an American mathematician, known for influential contributions to computer vision, statistics, probability theory, machine learning, and the neurosciences. He and his brother, Donald Geman, are well known for proposing the Gibbs sampler, and for the first proof of convergence of the simulated annealing algorithm.
Dorit S. Hochbaum is a professor of industrial engineering and operations research at the University of California, Berkeley. She is known for her work on approximation algorithms, particularly for facility location, covering and packing problems, and scheduling, and on flow and cut algorithms, Markov random fields, image segmentation and clustering.
Ismat Beg, FPAS, FIMA, is a Pakistani mathematician and researcher. Beg is a senior Full Professor at the Lahore School of Economics, Higher Education Commission Distinguished National Professor and an honorary full professor at the Mathematics Division of the Institute for Basic Research, Florida, US.
Taivo Arak was an Estonian mathematician, specializing in probability theory.
Claudia Alejandra Sagastizábal is an applied mathematician known for her research in convex optimization and energy management, and for her co-authorship of the book Numerical Optimization: Theoretical and Practical Aspects. She is a researcher at the University of Campinas in Brazil. Since 2015 she has been editor-in-chief of the journal Set-Valued and Variational Analysis.
Jennifer Ann Scott is a British mathematician specialising in numerical analysis, sparse matrix computations, and parallel computing. She is a professor of applied mathematics at the University of Reading, where she directs the Centre for the Mathematics of Planet Earth, and a Group Leader and Individual Merit Research Fellow for the Science and Technology Facilities Council at the Rutherford Appleton Laboratory.
Laurence Broze is a Belgian applied mathematician specializing in statistics and econometrics and particularly in the theory of rational expectations. She is a professor of applied mathematics at the University of Lille in France. From 2012 to 2018 she was president of l'association femmes et mathématiques, a French association for women in mathematics.
Mila Nikolova was a Bulgarian applied mathematician, known for her research in image processing, inverse problems, and compressed sensing.
Jing-Rebecca Li is an applied mathematician known for her work on magnetic resonance imaging and Lyapunov equations. She is a researcher with the French Institute for Research in Computer Science and Automation (INRIA), at their Saclay research center.
In the domain of physics and probability, the filters, random fields, and maximum entropy (FRAME) model is a Markov random field model of stationary spatial processes, in which the energy function is the sum of translation-invariant potential functions that are one-dimensional non-linear transformations of linear filter responses. The FRAME model was originally developed by Song-Chun Zhu, Ying Nian Wu, and David Mumford for modeling stochastic texture patterns, such as grasses, tree leaves, brick walls, water waves, etc. This model is the maximum entropy distribution that reproduces the observed marginal histograms of responses from a bank of filters, where for each filter tuned to a specific scale and orientation, the marginal histogram is pooled over all the pixels in the image domain. The FRAME model is also proved to be equivalent to the micro-canonical ensemble, which was named the Julesz ensemble. Gibbs sampler is adopted to synthesize texture images by drawing samples from the FRAME model.
Annie Raoult is a French applied mathematician specializing in the mathematical modeling of cell membranes, graphene sheets, and other thin nanostructures. She is vice president of the Centre International de Mathématiques Pures et Appliquées and professor emerita at Paris Descartes University, where she directed the laboratory for applied mathematics.
Guillaume Carlier is a French mathematician. Most of his work lies in the field of calculus of variation and optimization. He is a professor of applied mathematics at Paris Dauphine University and a researcher at Mokaplan, a joint INRIA-CNRS-Université Paris-Dauphine team dedicated to research in the field of optimal transport.
Agnès Sulem is a French applied mathematician whose research topics include stochastic control, jump diffusion, and mathematical finance.
References
- ↑ Birthdate from French National Library catalog entry, retrieved 2021-11-10
- ↑ Azencott, Robert, Markov Random Fields and Computer Vision , retrieved 2021-11-10
- ↑ Geman, Stuart; Graffigne, Christine (1987), "Markov random field image models and their applications to computer vision" (PDF), Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), Providence, Rhode Island: American Mathematical Society, pp. 1496–1517, MR 0934354, Zbl 0665.68067
- ↑ Christine Graffigne at the Mathematics Genealogy Project
- ↑ MAP5 permanent members , retrieved 2021-11-10
- ↑ L’UFR a un nouveau Directeur ! (in French), University of Paris, 27 May 2019
