Results 1  10
of
196,409
Semiintrinsic mean shift on riemannian manifolds
 Proc. European Conference on Computer Vision (ECCV), Lecture Notes in Computer Science
, 2012
"... Abstract. The original mean shift algorithm [1] on Euclidean spaces (MS) was extended in [2] to operate on general Riemannian manifolds. This extension is extrinsic (ExtMS) since the mode seeking is performed on the tangent spaces [3], where the underlying curvature is not fully considered (tangen ..."
Abstract

Cited by 5 (2 self)
 Add to MetaCart
sidered (tangent spaces are only valid in a small neighborhood). In [3] was proposed an intrinsic mean shift designed to operate on two particular Riemannian manifolds (IntGSMS), i.e. Grassmann and Stiefel manifolds (using manifolddedicated density kernels). It is then natural to ask whether mean shift could
(Semi)Intrinsic Statistical Analysis on Stratified Spaces
"... We present some applications from biology and medical imaging which lead to data on manifolds and stratified spaces. On such spaces the Euclidean concept of a mean forks into several canonical generalizations of non Euclidean means. More involved data descriptors, for instance principal components ..."
Abstract
 Add to MetaCart
generalize into even more complicated concepts. (Semi)intrinsic statistical analysis allows to study inference on descriptors that can be represented as elements of another stratified space. We give examples for geodesic principal components on shape spaces and concentric small circles on spheres
Ricci Flow with Surgery on ThreeManifolds
"... This is a technical paper, which is a continuation of [I]. Here we verify most of the assertions, made in [I, §13]; the exceptions are (1) the statement that a 3manifold which collapses with local lower bound for sectional curvature is a graph manifold this is deferred to a separate paper, as the ..."
Abstract

Cited by 454 (2 self)
 Add to MetaCart
This is a technical paper, which is a continuation of [I]. Here we verify most of the assertions, made in [I, §13]; the exceptions are (1) the statement that a 3manifold which collapses with local lower bound for sectional curvature is a graph manifold this is deferred to a separate paper
Filling Riemannian manifolds
 J. of Differential Geometry
, 1983
"... We want to discuss here several unsolved problems concerning metric invariants of a Riemannian manifold V = (V, g) which mediate between the curvature and topology of V. ..."
Abstract

Cited by 325 (6 self)
 Add to MetaCart
We want to discuss here several unsolved problems concerning metric invariants of a Riemannian manifold V = (V, g) which mediate between the curvature and topology of V.
Homological Algebra of Mirror Symmetry
 in Proceedings of the International Congress of Mathematicians
, 1994
"... Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual Ca ..."
Abstract

Cited by 529 (3 self)
 Add to MetaCart
Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual
Directional Statistics and Shape Analysis
, 1995
"... There have been various developments in shape analysis in the last decade. We describe here some relationships of shape analysis with directional statistics. For shape, rotations are to be integrated out or to be optimized over whilst they are the basis for directional statistics. However, various c ..."
Abstract

Cited by 775 (31 self)
 Add to MetaCart
to shape analysis. Note that the idea of using tangent space for analysis is common to both manifold as well. 1 Introduction Consider shapes of configurations of points in Euclidean space. There are various contexts in which k labelled points (or "landmarks") x 1 ; :::; x k in IR m are given
KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
Abstract

Cited by 545 (60 self)
 Add to MetaCart
’ of holomorphic curves of higher genus curves in Calabi–Yau manifolds. It is shown that topological amplitudes can also be reinterpreted as computing corrections to superpotential terms appearing in the effective 4d theory resulting from compactification of standard 10d superstrings on the corresponding N = 2
Blind Beamforming for Non Gaussian Signals
 IEE ProceedingsF
, 1993
"... This paper considers an application of blind identification to beamforming. The key point is to use estimates of directional vectors rather than resorting to their hypothesized value. By using estimates of the directional vectors obtained via blind identification i.e. without knowing the arrray mani ..."
Abstract

Cited by 704 (31 self)
 Add to MetaCart
manifold, beamforming is made robust with respect to array deformations, distortion of the wave front, pointing errors, etc ... so that neither array calibration nor physical modeling are necessary. Rather surprisingly, `blind beamformers' may outperform `informed beamformers' in a plausible
Intrinsic and extrinsic motivations: Classic definitions and new directions
 Contemporary Educational Psychology
, 2000
"... Intrinsic and extrinsic types of motivation have been widely studied, and the distinction between them has shed important light on both developmental and educational practices. In this review we revisit the classic definitions of intrinsic and extrinsic motivation in light of contemporary research a ..."
Abstract

Cited by 561 (8 self)
 Add to MetaCart
Intrinsic and extrinsic types of motivation have been widely studied, and the distinction between them has shed important light on both developmental and educational practices. In this review we revisit the classic definitions of intrinsic and extrinsic motivation in light of contemporary research
Graphical models, exponential families, and variational inference
, 2008
"... The formalism of probabilistic graphical models provides a unifying framework for capturing complex dependencies among random variables, and building largescale multivariate statistical models. Graphical models have become a focus of research in many statistical, computational and mathematical fiel ..."
Abstract

Cited by 800 (26 self)
 Add to MetaCart
likelihoods, marginal probabilities and most probable configurations. We describe how a wide varietyof algorithms — among them sumproduct, cluster variational methods, expectationpropagation, mean field methods, maxproduct and linear programming relaxation, as well as conic programming relaxations — can
Results 1  10
of
196,409