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Dimensional anchors: A graphic primitive for multidimensional multivariate information visualizations

by Patrick Hoffman, Georges Grinstein, David Pinkney - In Proc of the NPIV 99 , 1999
"... ..."
Abstract - Cited by 49 (3 self) - Add to MetaCart
Abstract not found

Robust Distributed Network Localization with Noisy Range Measurements

by David Moore, John Leonard, Daniela Rus, Seth Teller , 2004
"... This paper describes a distributed, linear-time algorithm for localizing sensor network nodes in the presence of range measurement noise and demonstrates the algorithm on a physical network. We introduce the probabilistic notion of robust quadrilaterals as a way to avoid flip ambiguities that otherw ..."
Abstract - Cited by 403 (20 self) - Add to MetaCart
that otherwise corrupt localization computations. We formulate the localization problem as a two-dimensional graph realization problem: given a planar graph with approximately known edge lengths, recover the Euclidean position of each vertex up to a global rotation and translation. This formulation is applicable

The Anchors Hierarchy: Using the Triangle Inequality to Survive High Dimensional Data

by Andrew W. Moore - In Twelfth Conference on Uncertainty in Artificial Intelligence , 2000
"... This paper is about metric data structures in high-dimensional or non-Euclidean space that permit cached sufficient statistics accelerations of learning algorithms. ..."
Abstract - Cited by 93 (11 self) - Add to MetaCart
This paper is about metric data structures in high-dimensional or non-Euclidean space that permit cached sufficient statistics accelerations of learning algorithms.

Templates and Anchors: . . .

by R. J. Full, et al. - THE JOURNAL OF EXPERIMENTAL BIOLOGY 202, 3325–3332 (1999) , 1999
"... Locomotion results from complex, high-dimensional, non-linear, dynamically coupled interactions between an organism and its environment. Fortunately, simple models we call templates have been and can be made to resolve the redundancy of multiple legs, joints and muscles by seeking synergies and symm ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Locomotion results from complex, high-dimensional, non-linear, dynamically coupled interactions between an organism and its environment. Fortunately, simple models we call templates have been and can be made to resolve the redundancy of multiple legs, joints and muscles by seeking synergies

The Anchors Hierarchy: Using the triangle

by Andrew W. Moore, Andrew W. Moore , 2000
"... triangle inequality to survive high dimensional data ..."
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triangle inequality to survive high dimensional data

Weak Anchoring for a Two-Dimensional Liquid Crystal

by Stan Alama, Lia Bronsard , 2014
"... Abstract. We study the weak anchoring condition for nematic liquid crystals in the context of the Landau-De Gennes model. We restrict our attention to two dimensional samples and to nematic director fields lying in the plane, for which the Landau-De Gennes energy reduces to the Ginzburg–Landau funct ..."
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Abstract. We study the weak anchoring condition for nematic liquid crystals in the context of the Landau-De Gennes model. We restrict our attention to two dimensional samples and to nematic director fields lying in the plane, for which the Landau-De Gennes energy reduces to the Ginzburg

Learning anchor planes for classification

by Ziming Zhang, Philip H. S, Torr Amir Saffari - In NIPS’11
"... Local Coordinate Coding (LCC) [18] is a method for modeling functions of data lying on non-linear manifolds. It provides a set of anchor points which form a local coordinate system, such that each data point on the manifold can be approximated by a linear combination of its anchor points, and the li ..."
Abstract - Cited by 9 (2 self) - Add to MetaCart
Local Coordinate Coding (LCC) [18] is a method for modeling functions of data lying on non-linear manifolds. It provides a set of anchor points which form a local coordinate system, such that each data point on the manifold can be approximated by a linear combination of its anchor points

DESCRIPTIVISM, RIGIDIFIED AND ANCHORED ∗

by Philip Pettit
"... ABSTRACT. Stalnaker argues that, while the two-dimensional framework can be used to give expression to the claims associated with rigidified descriptivism, it cannot be used to support that position. He also puts forward some objections to rigidified descriptivism. I agree that rigidified descriptiv ..."
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ABSTRACT. Stalnaker argues that, while the two-dimensional framework can be used to give expression to the claims associated with rigidified descriptivism, it cannot be used to support that position. He also puts forward some objections to rigidified descriptivism. I agree that rigidified

Anchoring economic prediction in common knowledge

by R. Guesnerie, Part I - Econometrica , 2002
"... The paper examines within a uni…ed methodology expectational coordination in a series of economic models. The methodology views the predictions associated with the Rational Expectations Hypothesis as reasonable whenever they can be derived from more basic Common Knowledge hypothesis. The paper succe ..."
Abstract - Cited by 26 (6 self) - Add to MetaCart
successively considers a simple non noisy N-dimensional model, standard models with ”intrinsic ” uncertainty, reference intertemporal models with in…nite horizon. It reviews existing results and suggests new ones. It translates the formal results into looser but economically intuitive statements, whose

Sensor Positioning in Wireless Ad-hoc Sensor Networks Using Multidimensional Scaling

by Xiang Ji, Hongyuan Zha , 2004
"... Sensor Positioning is a fundamental and crucial issue for sensor network operation and management. In the paper, we first study some situations where most existing sensor positioning methods tend to fail to perform well, an example being when the topology of a sensor network is anisotropic. Then, we ..."
Abstract - Cited by 147 (0 self) - Add to MetaCart
, we explore the idea of using dimensionality reduction techniques to estimate sensors coordinates in two (or three) dimensional space, and we propose a distributed sensor positioning method based on multidimensional scaling technique to deal with these challenging conditions. Multidimensional scaling
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