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Measurement Duality
, 1997
"... Introduction It is a public fact that "shape" can only be defined in operational terms. "Shape" is only operationally defined. Thus things do not "have a shape" the way Santa Claus has a red suit. JAN KOENDERINK (1990) A shape can be observed or manufactured, and eve ..."
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Introduction It is a public fact that "shape" can only be defined in operational terms. "Shape" is only operationally defined. Thus things do not "have a shape" the way Santa Claus has a red suit. JAN KOENDERINK (1990) A shape can be observed or manufactured, and even its mere thought entails the possibility of a potential realization of such an act (an imagination in your mind's eye, a gesticulation). Shape as an attribute of an observable puts the very role of observationgenerically the physical interaction with some kind of sourceinto focus. Ich werde [. . . ] in der transzendentalen Uberlegung meine Begriffe jederzeit nur unter den Bedingungen der Sinnlichkeit vergleichen mussen, und so werden Raum und Zeit nicht Bestimmungen der Dinge an sich, sondern der Erscheinungen sein: was die Dinge an sich sein mogen, weiß ich nicht, und brauche es auch nicht zu wissen,
The Intrinsic Structure of Optic Flow Incorporating Measurement Duality
 International Journal of Computer Vision
, 1997
"... The purpose of this report 1 is to define optic flow for scalar and density images without using a priori knowledge other than its defining conservation principle, and to incorporate measurement duality, notably the scalespace paradigm. It is argued that the design of optic flow based applicati ..."
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Cited by 28 (20 self)
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The purpose of this report 1 is to define optic flow for scalar and density images without using a priori knowledge other than its defining conservation principle, and to incorporate measurement duality, notably the scalespace paradigm. It is argued that the design of optic flow based
The Intrinsic Structure of Optic Flow Incorporating Measurement Duality LUC FLORACK
, 1996
"... Abstract. The purpose of this article is to define optic flow for scalar and density images without using a priori knowledge other than its defining conservation principle, and to incorporate measurement duality, notably the scalespace paradigm. It is argued that the design of optic flow based appl ..."
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Abstract. The purpose of this article is to define optic flow for scalar and density images without using a priori knowledge other than its defining conservation principle, and to incorporate measurement duality, notably the scalespace paradigm. It is argued that the design of optic flow based
A Duality Model of TCP and Queue Management Algorithms
 IEEE/ACM Trans. on Networking
, 2002
"... We propose a duality model of congestion control and apply it to understand the equilibrium properties of TCP and active queue management schemes. Congestion control is the interaction of source rates with certain congestion measures at network links. The basic idea is to regard source rates as p ..."
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Cited by 307 (37 self)
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We propose a duality model of congestion control and apply it to understand the equilibrium properties of TCP and active queue management schemes. Congestion control is the interaction of source rates with certain congestion measures at network links. The basic idea is to regard source rates
J. Math. Anal. Appl. 157(1991), 211–236 Certainty Equivalents and Information Measures: Duality and Extremal Principles ∗
, 1988
"... Given a convex function φ: IR+ → IR, the Csiszár φdivergence (Csiszár (1978)) is a function Iφ: IR n +×IR n + → IR, Iφ(p, q):= ..."
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Given a convex function φ: IR+ → IR, the Csiszár φdivergence (Csiszár (1978)) is a function Iφ: IR n +×IR n + → IR, Iφ(p, q):=
On the Carleson duality On the Carleson duality
"... Abstract. As a tool for solving the Neumann problem for divergenceform equations, Kenig and Pipher introduced the space X of functions on the halfspace, such that the nontangential maximal function of their L 2 Whitney averages belongs to L 2 on the boundary. In this paper, answering questions w ..."
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to Lp generalizations of the space X . Our results elaborate on the wellknown duality between Carleson measures and nontangential maximal functions.
Benefit Functions and Duality
 Journal of Mathematical Economics
"... This paper studies a new representation of individ~l preferences termed the benefit function. The benetit function b(g; x,u) measures the amount that an individual is willing to trade, in terms of a specific reference commodity bundle g, for the opportunity to move from utility level a to a consumpt ..."
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Cited by 68 (0 self)
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This paper studies a new representation of individ~l preferences termed the benefit function. The benetit function b(g; x,u) measures the amount that an individual is willing to trade, in terms of a specific reference commodity bundle g, for the opportunity to move from utility level a to a
Bitopology and measurecategory duality
, 2008
"... We reexamine measurecategory duality by a bitopological approach, using both the Euclidean and the density toplologies of the line. We give a topological result (on convergence of homeomorphisms to the identity) obtaining as a corollary results on infinitary combinatorics due to Kestelman and to B ..."
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Cited by 14 (12 self)
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We reexamine measurecategory duality by a bitopological approach, using both the Euclidean and the density toplologies of the line. We give a topological result (on convergence of homeomorphisms to the identity) obtaining as a corollary results on infinitary combinatorics due to Kestelman
MEASURED QUANTUM GROUPOIDS DUALITY
, 2005
"... Abstract. — In a former article [Les04], we construct a structure of measured quantum groupoid. We are now investigating duality theorem of these objects. More precisely, we give the definition of generalized measured quantum groupoids which is a category containing measured quantum groupoids and de ..."
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Cited by 1 (0 self)
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Abstract. — In a former article [Les04], we construct a structure of measured quantum groupoid. We are now investigating duality theorem of these objects. More precisely, we give the definition of generalized measured quantum groupoids which is a category containing measured quantum groupoids
Duality for setvalued measures of risk
 SIAM Journal on Financial Mathematics
, 2010
"... Extending the approach of Jouini et al. we define set–valued (convex) measures of risk and its acceptance sets. Using a new duality theory for set–valued convex functions we give dual representation theorems. A scalarization concept is introduced that has economical meaning in terms of prices of por ..."
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Cited by 22 (6 self)
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Extending the approach of Jouini et al. we define set–valued (convex) measures of risk and its acceptance sets. Using a new duality theory for set–valued convex functions we give dual representation theorems. A scalarization concept is introduced that has economical meaning in terms of prices
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