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Semantic Information Extraction for Improved Word Embeddings
Semantic Information Extraction Improved Word Embeddings
2016/1/22
Word embeddings have recently proven useful in a number of different applications that deal with natural language. Such embeddings suc-cinctly reflect semantic similarities between words based on thei...
EMBEDDINGS OF SOME CLASSICAL BANACH SPACES INTO MODULATION SPACES
Besov space modulation space Sobolev space short-time Fourier transform Triebel-Lizorkin space time-frequency analysis
2015/12/10
We give sufficient conditions for a tempered distribution to belong to certain modulation spaces by showing embeddings of some Besov-TriebelLizorkin spaces into modulation spaces. As aconsequence we h...
Relative embeddings: A Circassian puzzle for the syntax/semantics interface
relative clauses headless relatives
2015/9/6
This paper documents and analyzes the pattern used in the Northwest Caucasian
language Adyghe (Circassian) to express what the following five different constructions convey in
other languages: heade...
Tangent space estimation for smooth embeddings of Riemannian manifolds
Riemannian manifolds tangent space estimation manifold sampling manifold learning Chernoff bounds for sums of random matrices singular value perturbation.
2012/9/17
Numerous dimensionality reduction problems in data analysis involve the recovery of low-dimensional models or the learning of manifolds underlying sets of data. Many manifold learning methods require ...
On reductive automorphism groups of regular embeddings
reductive automorphism groups regular embeddings Algebraic Geometry
2012/6/21
Let G be a connected reductive complex algebraic group acting on a smooth complete complex algebraic variety X. We assume that X under the action of G is a regular embedding, a condition satisfied in ...
Amenability, locally finite spaces, and bi-lipschitz embeddings
amenability isoperimetric constant embeddings into Hilbert spaces
2012/5/24
We define the isoperimetric constant for any locally finite metric space and we study the property of having isoperimetric constant equal to zero. This property, called Small Neighborhood property, cl...
Embeddings and time evolution of the Schwarzschild wormhole
Einstein-Rosen bridge Schwarzschild wormhole embedding
2011/10/9
Abstract: We show how to embed spacelike slices of the Schwarzschild wormhole (or Einstein-Rosen bridge) in R^3. Graphical images of embeddings are given, including depictions of the dynamics of this ...
Classification of nonorientable regular embeddings of Hamming graphs
Graph embeddings regular embeddings regular map Hamming graphs
2011/9/9
Abstract: By a regular embedding of a graph K in a surface we mean a 2-cell embedding of K in a compact connected surface such that the automorphism group acts regularly on flags. In this paper, we cl...
Quantum Filtering for Systems Driven by Fields in Single Photon States and Superposition of Coherent States using Non-Markovian Embeddings
quantum filtering continuous-mode single photon states continuous-mode superpositions of coherent states quantum stochastic processes
2011/10/8
Abstract: The purpose of this paper is to determine quantum master and filter equations for systems coupled to fields in certain non-classical continuous-mode states. Specifically, we consider two typ...
Normal systems over ANR's, rigid embeddings and nonseparable absorbing sets
absolute neighbourhood retracts nonseparable absorbing sets infinite-dimensional manifolds strong Z-sets
2011/8/29
Abstract: Most of results of Bestvina and Mogilski [\textit{Characterizing certain incomplete infinite-dimensional absolute retracts}, Michigan Math. J. \textbf{33} (1986), 291--313] on strong $Z$-set...
The computational complexity of recognising embeddings in finitely presented groups
Finitely presented groups embeddings Kleene’s arithmetical hierarchy decidability universal finitely presented group
2011/8/29
Abstract: We extend a result by Lempp that recognising torsion-freeness for finitely presented groups is $\Pi^{0}_{2}$-complete; we show that the problem of recognising embeddings of finitely presente...
Sparsity and non-Euclidean embeddings
Sparsity non-Euclidean embeddings Functional Analysis
2011/8/25
Abstract: We present a relation between sparsity and non-Euclidean isomorphic embeddings. We introduce a general restricted isomorphism property and show how it enables to construct embeddings of $\el...
Coherent discrete embeddings for Lagrangian and Hamiltonian systems
Lagrangian systems Hamiltonian systems variational integrators discrete embeddings numerical schemes
2011/8/25
Abstract: The general topic of the present paper is to study the conservation for some structural property of a given problem when discretising this problem. Precisely we are interested with Lagrangia...
Acyclic embeddings of open Riemann surfaces into new examples of elliptic manifolds
Holomorphic embedding Riemann surface Oka manifold Stein manifold elliptic manifold affine manifold
2011/8/22
Abstract: The geometric notion of ellipticity for complex manifolds was introduced by Gromov in his seminal 1989 paper on the Oka principle, and is a sufficient condition for a manifold to be Oka. In ...
Smooth Contractive Embeddings and Application to Feynman Formula for Parabolic Equations on Smooth Bounded Domains
Smooth contractive extension operator elliptic differential operator
2011/1/18
We prove two assumptions made in an article by Ya.A. Butko, M. Grothaus,O.G. Smolyanov concerning the existence of a strongly continuous operator semi-group solving a Cauchy-Dirichlet problem for an e...