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Curvelets: a surprisingly effective nonadaptive representation of objects with edges
 IN CURVE AND SURFACE FITTING: SAINTMALO
, 2000
"... It is widely believed that to efficiently represent an otherwise smooth object with discontinuities along edges, one must use an adaptive representation that in some sense ‘tracks ’ the shape of the discontinuity set. This folkbelief — some would say folktheorem — is incorrect. At the very least ..."
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Cited by 395 (21 self)
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It is widely believed that to efficiently represent an otherwise smooth object with discontinuities along edges, one must use an adaptive representation that in some sense ‘tracks ’ the shape of the discontinuity set. This folkbelief — some would say folktheorem — is incorrect. At the very
Katsaggelos, “Use of tight frames for optimized compressed sensing
 in Proc. EUSIPCO
, 2012
"... Compressed sensing (CS) theory relies on sparse representations in order to recover signals from an undersampled set of measurements. The sensing mechanism is described by the projection matrix, which should possess certain properties to guarantee high quality signal recovery, using efficient algo ..."
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Cited by 4 (1 self)
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— Compressed sensing, tight frames, Grassmannian frames
New Approaches to Robotics
 Science
, 1991
"... In order to build autonomous robots that can carry out useful work in unstructured environments new approaches have been developed to building intelligent systems. The relationship to traditional academic robotics and traditional artificial intelligence is examined. In the new approaches a tight cou ..."
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Cited by 200 (3 self)
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In order to build autonomous robots that can carry out useful work in unstructured environments new approaches have been developed to building intelligent systems. The relationship to traditional academic robotics and traditional artificial intelligence is examined. In the new approaches a tight
A generalization of tight closure and multiplier ideals
 TRANS. AM. MATH. SOC
, 2003
"... We introduce a new variant of tight closure associated to any fixed ideal a, which we call atight closure, and study various properties thereof. In our theory, the annihilator ideal τ(a) of all atight closure relations, which is a generalization of the test ideal in the usual tight closure theor ..."
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Cited by 82 (3 self)
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We introduce a new variant of tight closure associated to any fixed ideal a, which we call atight closure, and study various properties thereof. In our theory, the annihilator ideal τ(a) of all atight closure relations, which is a generalization of the test ideal in the usual tight closure
Optimal tight frames and quantum measurement
 IEEE Trans. Inform. Theory
, 2002
"... Tight frames and rankone quantum measurements are shown to be intimately related. In fact, the family of normalized tight frames for the space in which a quantum mechanical system lies is precisely the family of rankone generalized quantum measurements (POVMs) on that space. Using this relationshi ..."
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Cited by 43 (7 self)
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this relationship, frametheoretical analogues of various quantummechanical concepts and results are developed. The analogue of a leastsquares quantum measurement is a tight frame that is closest in a leastsquares sense to a given set of vectors. The leastsquares tight frame is found for both the case in which
Tight link between our sense of limb ownership and selfawareness of actions
 Stroke
, 2008
"... Information about reprints can be found online at: Reprints: document. Permissions and Rights Question and Answer process is available in the Request Permissions in the middle column of the Web page under Services. Further information about this Once the online version of the published article for w ..."
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Cited by 22 (1 self)
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Information about reprints can be found online at: Reprints: document. Permissions and Rights Question and Answer process is available in the Request Permissions in the middle column of the Web page under Services. Further information about this Once the online version of the published article for which permission is being requested is located, click can be obtained via RightsLink, a service of the Copyright Clearance Center, not the Editorial Office.Strokein Requests for permissions to reproduce figures, tables, or portions of articles originally publishedPermissions: by guest on February 27,
Constructing infinite tight frames
"... Abstract. For finite and infinite dimensional Hilbert spaces H we classify the sequences of positive real numbers {an} ∞ n=1 so that there is a tight frame {ϕn} ∞ n=1 for H satisfying: ‖ϕn ‖ = an, for all n = 1, 2, 3, · · ·. In the finite dimensional case we will identify the frames which are c ..."
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Cited by 5 (3 self)
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are closest to being tight (in the sense of minimizing potential enerty) for any sequence {an} ∞ n=1. 1.
TIGHT ANALYSES OF TWO LOCAL LOAD BALANCING ALGORITHMS
 SIAM J. COMPUT.
, 1999
"... This paper presents an analysis of the following load balancing algorithm. At each step, each node in a network examines the number of tokens at each of its neighbors and sends a token to each neighbor with at least 2d + 1 fewer tokens, where d is the maximum degree of any node in the network. We ..."
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Cited by 52 (5 self)
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is the number of nodes in the network, and α is the edge expansion of the network. The time bound is tight in the sense that for any graph with edge expansion α, and for any value ∆, there exists an initial distribution of tokens with imbalance ∆ for which the time to reduce the imbalance to even ∆/2
A critical role for the right frontoinsular cortex in switching between centralexecutive and defaultmode networks.
 Proc Natl Acad Sci USA
, 2008
"... Cognitively demanding tasks that evoke activation in the brain's centralexecutive network (CEN) have been consistently shown to evoke decreased activation (deactivation) in the defaultmode network (DMN). The neural mechanisms underlying this switch between activation and deactivation of larg ..."
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Cited by 178 (1 self)
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extraneous activation and deactivation clusters visible in the GLM analysis to reveal brain regions that constitute independent and tightly coupled networks. Fig. 3. Granger causality analysis (GCA) of the six key nodes of the Salience (blue nodes), CentralExecutive (green nodes) and DefaultMode (yellow
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