Results 1  10
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221
Canonical Parameterization of Excess Motor Degrees of Freedom with SelfOrganizing Maps
 IEEE Trans. Neural Networks
, 1994
"... The problem of sensorimotor control is underdetermined due to excess (or "redundant") degrees of freedom when there are more joint variables than the minimum needed for positioning an endeffector. A method is presented for solving the nonlinear inverse kinematics problem for a redundant ..."
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Cited by 13 (2 self)
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manipulator by learning a natural parameterization of the inverse solution manifolds with selforganizing maps. The parameterization approximates the topological structure of the joint space, which is that of a fiber bundle. The fibers represent the "selfmotion manifolds" along which
Learning attractor landscapes for learning motor primitives
 in Advances in Neural Information Processing Systems
, 2003
"... Many control problems take place in continuous stateaction spaces, e.g., as in manipulator robotics, where the control objective is often defined as finding a desired trajectory that reaches a particular goal state. While reinforcement learning offers a theoretical framework to learn such control p ..."
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Cited by 195 (28 self)
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policies from scratch, its applicability to higher dimensional continuous stateaction spaces remains rather limited to date. Instead of learning from scratch, in this paper we suggest to learn a desired complex control policy by transforming an existing simple canonical control policy. For this purpose
Ample parameterization of variational inclusions
 SIAM JOURNAL ON OPTIMIZATION
, 2001
"... For a general category of variational inclusions in finite dimensions, a class of parameterizations, called “ample” parameterizations, is identified that is rich enough to provide a full theory of Lipschitztype properties of solution mappings without the need for resorting to the auxiliary introdu ..."
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Cited by 19 (9 self)
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introduction of canonical parameters. Ample parameterizations also support a detailed description of the graphical geometry that underlies generalized differentiation of solutions mappings. A theorem on protoderivatives is thereby obtained. The case of a variational inequality over a polyhedral convex set
Canonical Coset Parameterization and the Bures Metric of the Threelevel Quantum Systems
, 2008
"... An explicit parameterization for the state space of an nlevel density matrix is given. The parameterization is based on the canonical coset decomposition of unitary matrices. We also compute, explicitly, the Bures metric tensor over the state space of two and threelevel quantum systems. ..."
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An explicit parameterization for the state space of an nlevel density matrix is given. The parameterization is based on the canonical coset decomposition of unitary matrices. We also compute, explicitly, the Bures metric tensor over the state space of two and threelevel quantum systems.
Building Parameterized Canonical Representations to Achieve Interoperability among Heterogeneous Databases
, 1995
"... : This paper describes a technique to support interoperable query processing when multiple heterogeneous databases are accessed. We focus on the problem of supporting query transformation transparently, so a user can pose queries locally, without any need of global knowledge about different data mod ..."
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to consider the conflicts due to the different query language utilized by each database. We propose two kinds of parameterized canonical representations, as a means of classifying and resolving heterogeneities. The first canonical representation resolves heterogeneity based on query languages. The second
BRAIN SURFACE CONFORMAL PARAMETERIZATION
"... We develop a general approach that uses holomorphic 1forms to parameterize anatomical surfaces with complex (possibly branching) topology. Rather than evolve the surface geometry to a plane or sphere, we instead use the fact that all orientable surfaces are Riemann surfaces and admit conformal struc ..."
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Cited by 1 (0 self)
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We develop a general approach that uses holomorphic 1forms to parameterize anatomical surfaces with complex (possibly branching) topology. Rather than evolve the surface geometry to a plane or sphere, we instead use the fact that all orientable surfaces are Riemann surfaces and admit conformal
The LIL for canonical Ustatistics
, 2008
"... We give necessary and sufficient conditions for the (bounded) Law of the Iterated Logarithm for canonical Ustatistics of arbitrary order d, extending the previously known results for d = 2. The nasc’s are expressed as growth conditions on a parameterized family of norms associated with the Ustatis ..."
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We give necessary and sufficient conditions for the (bounded) Law of the Iterated Logarithm for canonical Ustatistics of arbitrary order d, extending the previously known results for d = 2. The nasc’s are expressed as growth conditions on a parameterized family of norms associated with the U
Canonical Prefixes of Petri Net Unfoldings
, 2001
"... In this paper, we develop a general technique for truncating Petri net unfoldings, parameterized according to the level of information about the original unfolding one wants to preserve. Moreover, we propose a new notion of completeness of a truncated unfolding, which with the standard parameters ..."
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Cited by 28 (6 self)
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In this paper, we develop a general technique for truncating Petri net unfoldings, parameterized according to the level of information about the original unfolding one wants to preserve. Moreover, we propose a new notion of completeness of a truncated unfolding, which with the standard
Interoperable Query Processing From Object To Relational Schemas Based On A Parameterized Canonical Representation
 Intl. Journal of Intelligent and Cooperative Information Systems
, 1995
"... In this paper, we develop techniques for interoperable query processing between object and relational schemas. The objective is to pose a query against a local object schema and be able to share information transparently from target relational databases, which have equivalent schema. Our approach is ..."
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Cited by 11 (8 self)
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is a mapping approach (as opposed to a global schema approach) and is based on using canonical representations (CR). We use one CR for resolving heterogeneity based on the object and relational query languages. We use a second parameterized CR to resolve representational heterogeneity between object
Generalized (sParameterized) Weyl Transformation
, 2002
"... A general canonical transformation of mechanical operators of position and momentum is considered. It is shown that it automatically generates a parameter s which leads to a generalized ( or sparameterized) Wigner function. This allows one to derive a generalized (sparameterized) Moyal brackets fo ..."
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A general canonical transformation of mechanical operators of position and momentum is considered. It is shown that it automatically generates a parameter s which leads to a generalized ( or sparameterized) Wigner function. This allows one to derive a generalized (sparameterized) Moyal brackets
Results 1  10
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221