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Results 1 - 10
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33,096
From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
, 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
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Cited by 427 (36 self)
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-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
of Undetermined Significance
, 2011
"... Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Our aim was to compare serum levels of selected biological parameters in different phases of multiple myeloma (MM) and monoclonal gammopat ..."
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gammopathy of undetermined significance (MGUS) to determine their diagnostic and prognostic potential. A cohort of 234 individuals was assessed for serum levels of hepatocyte growth factor (HGF), syndecan-1/CD138 (SYN), and osteopontin (OPN). The patients with MM (N = 156) were divided into 3 groups
Spatial Regions with Undetermined Boundaries
- 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
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Cited by 17 (5 self)
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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)
"... 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
gammopathy of undetermined significance
"... IgM and IgA responses are maintained in monoclonal ..."
Undetermined Network and Effect of Measurement Errors
"... 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
Undetermined Convolutive Blind Source Separation
"... This paper presents a blind source separation process for convolutive mixtures of audio sources. Here undetermined condition that is few microphones than sources has been considered as a mixing model. By an expectation– maximization (EM) algorithm the separation operation is performed in the frequen ..."
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This paper presents a blind source separation process for convolutive mixtures of audio sources. Here undetermined condition that is few microphones than sources has been considered as a mixing model. By an expectation– maximization (EM) algorithm the separation operation is performed
Locally undetermined states: characterization and an application in distributed computing
, 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
"... 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
Results 1 - 10
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33,096
