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From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images

by Alfred M. Bruckstein, David L. Donoho, Michael Elad , 2007
"... A full-rank matrix A ∈ IR n×m with n < m generates an underdetermined system of linear equations Ax = b having infinitely many solutions. Suppose we seek the sparsest solution, i.e., the one with the fewest nonzero entries: can it ever be unique? If so, when? As optimization of sparsity is combin ..."
Abstract - Cited by 427 (36 self) - Add to MetaCart
-sparse solutions can be found by concrete, effective computational methods. Such theoretical results inspire a bold perspective on some important practical problems in signal and image processing. Several well-known signal and image processing problems can be cast as demanding solutions of undetermined systems

Spatial Regions with Undetermined Boundaries

by A.G. Cohn, N.M. Gotts - In Topological Foundations of Cognitive Science: Paper on the Workshop at the rst international summer institute in Cognitive Science
"... The paper considers the problem of representing and reasoning about spatial regions with undetermined boundaries. We start by building a first order theory of such regions; then we propose a possible translation from this theory into an adaptation of `RCC-theory', a region-based system for repr ..."
Abstract - Cited by 17 (5 self) - Add to MetaCart
The paper considers the problem of representing and reasoning about spatial regions with undetermined boundaries. We start by building a first order theory of such regions; then we propose a possible translation from this theory into an adaptation of `RCC-theory', a region-based system

Dissertations /Theses- Undetermined (040)

by Robb G
"... Music education in today's educational system has been fighting for its existence as a curricular subject, with many school systems finding it convenient to keep the classification of music-related activities in limbo. Music educators must be prepared to defend their programs and educational ob ..."
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Music education in today's educational system has been fighting for its existence as a curricular subject, with many school systems finding it convenient to keep the classification of music-related activities in limbo. Music educators must be prepared to defend their programs and educational

Undetermined Network and Effect of Measurement Errors

by F. Zamorano A. V, E Wouwer, G. Bastin
"... Abstract: The flux distribution in a detailed metabolic network of CHO-320 cells is evaluated using Metabolic Flux Analysis. As in many practical situations, the available information is not sufficient to completely define the metabolic fluxes, and so, the mass balance system of equations is underde ..."
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Abstract: The flux distribution in a detailed metabolic network of CHO-320 cells is evaluated using Metabolic Flux Analysis. As in many practical situations, the available information is not sufficient to completely define the metabolic fluxes, and so, the mass balance system of equations

Locally undetermined states: characterization and an application in distributed computing

by Yuan Feng, Runyao Duan, Mingsheng Ying , 2008
"... Multipartite quantum states that cannot be uniquely determined by their reduced states of all proper subsets of the parties exhibit some inherit ‘high-order ’ correlation. This paper elaborates this issue by giving necessary and sufficient conditions for a pure multipartite state to be locally undet ..."
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undetermined, and moreover, characterizing precisely all the pure states sharing the same set of reduced states with it. Interestingly, we find that locally undetermined states have some applications to the well-known consensus problem in distributed computation. To be specific, given some physically separated

Open Access An Improved Method of Undetermined Coefficients

by L. Kwasniewski
"... Abstract: An exact solution method in terms of an infinite power series is developed for linear ordinary differential equations with polynomial coefficients. The method is general and applicable to a wide range of equations of any N-th order presented in normal form. The final solution is defined by ..."
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calculation is independent on unknown constants. The method is also applicable to any system of R differential equations in normal form with the restriction that all equations in the system are of the same order. The advantage over the “classical ” method of undetermined coeffi-cients is that here

PUB TYPE Dissertations/Theses Undetermined (040)

by Alexis Han
"... This thesis project describes an experiment with elementary students to see if cultural education changes students' attitudes about the culture studied. Two classes of fourth grade students were selected from a city and a county school in the central Virginia area. One class from the city schoo ..."
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school system was fairly homogeneous with 15 of the 18 students African American and 3 Caucasians; there were 10 females and 8 males. The 21 member class from the county school system was more diverse with seven African Americans, four Asian Americans, one Hispanic, and one Middle Eastern child

Solving Linear Difference Systems with Lagged Expectations by a Method of Undetermined Coefficients

by Pengfei Wang, Yi Wen , 2006
"... ..."
Abstract - Cited by 15 (0 self) - Add to MetaCart
Abstract not found

Modeling Spatial Objects with Undetermined Boundaries Using the Realm/ROSE Approach

by Markus Schneider - IN BURROUGH AND FRANK [2 , 1996
"... The purposes of this paper are twofold, namely first to present general criteria for the design of spatial data types that are necessary and valid for the modeling of spatial objects regardless whether we consider objects with sharp or undetermined boundaries, and second to show how the concepts of ..."
Abstract - Cited by 21 (12 self) - Add to MetaCart
of a type system for spatial objects with sharp boundaries can be suitably transferred and extended to the modeling of spatial objects with undetermined boundaries. The most relevant design criteria of such a type system comprise generality, closure properties, rigorous definition, finite resolution

136 11 – Intelligent Engineering DYNAMIC SYSTEM QUALITY PROVIDING UNDER UNDETERMINED

by Disturbances Multi-dimensional Case, Iryna Zbrutska
"... Abstract: Multi-dimensional dynamic system under impact of the undetermined disturbing influences is reviewed. Control system that allows to influence over system reaction value in proportion to the disturbance is defined. An algorithm for system quality estimation and making decision about control ..."
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Abstract: Multi-dimensional dynamic system under impact of the undetermined disturbing influences is reviewed. Control system that allows to influence over system reaction value in proportion to the disturbance is defined. An algorithm for system quality estimation and making decision about control
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