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The degree of sets in Euclidian space using sets with bounded VapnikChervonenkis dimension
, 1998
"... The degree of approximation of infinitedimensional function classes using finite ndimensional manifolds has been the subject of a classical field of study in the area of mathematical approximation theory. In Ratsaby and Maiorov (1997), a new quantity pn(F, Lq) which measures the degree of approxim ..."
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The degree of approximation of infinitedimensional function classes using finite ndimensional manifolds has been the subject of a classical field of study in the area of mathematical approximation theory. In Ratsaby and Maiorov (1997), a new quantity pn(F, Lq) which measures the degree of approximation of a function class F by the best manifold H of pseudodimension less than or equal to n in the LqmeU'ic has been introduced. For sets F C E' it is defined as p,(F, l') = infm dist(FH), where dist(F,H") = sup. r inf?m, I[x.Yl]/ and H C '" is any set of VCdimension less than or equal to n where n < m. It measures the degree of approximation of the set F by the optimal set H" C of VCdimension less than or equal to n in the /[metric. In this paper we compute iMF, l" tbr F being the unit ball B' = {x ': IIxll7 < 1 } for any I < p. q < c, and for F being any subset of the boolean mcube of size larger than 2 m7, for any } <7<1 1998 hblished by Elsevier Science B.V. All rights reserved.
Christoffel symbols {Γk ij (x)} ⊂ C1 (Rm),
"... Abstract. In this paper we consider the space R m with a symmetric affine connection. We investigate the sufficient conditions which imply the existence of Euclidian coordinates in the whole space R m. In these coordinates all the Christoffel symbols are equal to zero identically. ..."
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Abstract. In this paper we consider the space R m with a symmetric affine connection. We investigate the sufficient conditions which imply the existence of Euclidian coordinates in the whole space R m. In these coordinates all the Christoffel symbols are equal to zero identically.
Using Dynamics to Recover Euclidian 3–Dimensional Structure from 2–Dimensional Perspective Projections
"... Abstract — In this paper we consider the problem of recovering the 3–dimensional Euclidian structure of a rigid object from multiframe point correspondence data in a sequence of 2–D images obtained under perspective projection. The main idea is to recast the problem as the identification of an LTI ..."
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Cited by 1 (0 self)
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Abstract — In this paper we consider the problem of recovering the 3–dimensional Euclidian structure of a rigid object from multiframe point correspondence data in a sequence of 2–D images obtained under perspective projection. The main idea is to recast the problem as the identification of an LTI
EABEuclidian Algorithm Based Key Computation Protocol for Secure Group Communication in Dynamic Grid Environment Dr.M.Venkatesulu
"... Grid Computing is mainly concerned with coordinated way of sharing diverse resources that are available in distributed “Virtual Organizations”. A prominent feature of grid computing is the collaboration of multiple entities to perform collaborative tasks that rely on two important functions such as ..."
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Grid Computing is mainly concerned with coordinated way of sharing diverse resources that are available in distributed “Virtual Organizations”. A prominent feature of grid computing is the collaboration of multiple entities to perform collaborative tasks that rely on two important functions
Length, Area and Volume Computation in Homogeneous Coordinates
"... Many problems solved in computer graphics, computer vision, visualization etc. require fast and robust computation of an area of a triangle or volume of a tetrahedron. These very often used algorithms are well known and robust if vertices coordinates of triangles or tetrahedrons are given in Euclide ..."
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without the need to use the division operation for vertices coordinates transformation from the homogeneous coordinates to the Euclidian coordinates. Area or volume computation is transferred to the cross product computation that is fast, simple, robust and can be supported in hardware or implemented
Recognizing human actions using multiple features, CVPR
, 2008
"... In this paper, we propose a framework that fuses multiple features for improved action recognition in videos. The fusion of multiple features is important for recognizing actions as often a single feature based representation is not enough to capture the imaging variations (viewpoint, illumination ..."
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Cited by 77 (7 self)
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that similar nodes have Euclidian coordinates which are closer to each other. This is achieved by converting this constraint into a minimization problem whose solution is the eigenvectors of the graph Laplacian matrix. This procedure is known as Fiedler Embedding. The performance of the proposed framework
Adaptive Behavior and Coordination Failure
 Journal of Economic Behavior and Organization
, 1997
"... Abstract: We use the experimental method to study people's adaptive behavior in a generic game with multiple Pareto ranked equilibria. The experiment was designed to discover if behavior diverged at the separatrix predicted by the fictitious play dynamic. The equilibrium selected was sensitive ..."
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Cited by 50 (5 self)
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to small differences in initial conditions as predicted. The experiment provides some striking examples of coordination failure growing from small historical accidents. Key Words: adaptive learning, fictitious play, path dependence, coordination failure, predictive success. JEL classification: c720, c920
Construction of Line Densities for Parallel Coordinate Plots
 IN COMPUTING AND GRAPHICS IN STATISTICS
, 1991
"... The graphical representation of high dimensional data may be accomplished by using the parallel coordinate plotting system. In such a representation points in Euclidian nspace are mapped into line segments in Euclidian 2space by a projective transformation. This representation preserves much of th ..."
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Cited by 30 (2 self)
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The graphical representation of high dimensional data may be accomplished by using the parallel coordinate plotting system. In such a representation points in Euclidian nspace are mapped into line segments in Euclidian 2space by a projective transformation. This representation preserves much
Supplemental Data Optimal TaskDependent Changes of Bimanual Feedback Control and Adaptation
"... This section contains a more detailed description of the optimal control model for bimanual reaching movements as presented in the main text, as well as a description of the implementation in Matlab (Mathworks [Natick, MA]). Furthermore, a sensitivity analysis of the correction rate in respect to ar ..."
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cm), I used a local linear approximation of the system in Euclidian coordinates. However, very similar results can be obtained with a nonlinear, jointbased model, by using iterative techniques to derive the optimal control policy [S2]. In the model, a state vector that contains 12 variables
Communications Coordinator
, 2001
"... Planning district commissions make government more efficient and effective through coordinated planning and program analysis. Virginia's General Assembly created planning districts in 1968 under the authority of the Virginia Area Development Act revised as the Regional Cooperation Act in 1995 ..."
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Planning district commissions make government more efficient and effective through coordinated planning and program analysis. Virginia's General Assembly created planning districts in 1968 under the authority of the Virginia Area Development Act revised as the Regional Cooperation Act in 1995
Results 11  20
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15,058