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Generalisation Operators for Lists Embedded in a Metric Space [chapter]

V. Estruch, C. Ferri, J. Hernández-Orallo, M. J. Ramírez-Quintana
2010 Lecture Notes in Computer Science  
For instance, for lists (or sequences), edit distances are not consistent with regular languages, since, for a regular pattern such as * a, the covered set of lists might be far away in terms of the edit  ...  In this paper we investigate the way in which, given a pattern language, we can define a pair of generalisation operator and distance which are consistent.  ...  In general, we could wonder if some of the tools employed in inductive programming (generalisation operators) could be upgraded to deal with list-based representations in a more satisfactory way and overcome  ... 
doi:10.1007/978-3-642-11931-6_6 fatcat:wqelw4ipnjesbaqlkwtsfo5rcm

E_d(d)×R^+ Generalised Geometry, Connections and M theory [article]

André Coimbra, Charles Strickland-Constable, Daniel Waldram
2013 arXiv   pre-print
We show that generalised geometry gives a unified description of bosonic eleven-dimensional supergravity restricted to a d-dimensional manifold for all d≤7.  ...  The theory is based on an extended tangent space which admits a natural E_d(d)×R^+ action.  ...  W. also thanks CEA/Saclay and the Mitchell Institute for Fundamental Physics and Astronomy at Texas A&M for hospitality during the completion of this work.  ... 
arXiv:1112.3989v2 fatcat:obxhmm564je77cwck7fsp6l3gy

$ {E_d}_{(d)}\times {{\mathbb{R}}^{+}} $ generalised geometry, connections and M theory

André Coimbra, Charles Strickland-Constable, Daniel Waldram
2014 Journal of High Energy Physics  
We show that generalised geometry gives a unified description of bosonic eleven-dimensional supergravity restricted to a d-dimensional manifold for all d ≤ 7.  ...  The theory is based on an extended tangent space which admits a natural E d(d) × R + action.  ...  W. also thanks CEA/Saclay and the Mitchell Institute for Fundamental Physics and Astronomy at Texas A&M for hospitality during the completion of this work.  ... 
doi:10.1007/jhep02(2014)054 fatcat:kqhqcquyubh2jprqbwq2gx4mvy

Text2Node: a Cross-Domain System for Mapping Arbitrary Phrases to a Taxonomy [article]

Rohollah Soltani, Alexandre Tomberg
2019 arXiv   pre-print
the two embedding spaces.  ...  Text2Node operates in three main stages: first, the lexicon is mapped to word embeddings; second, the taxonomy is vectorized using node embeddings; and finally, the mapping function is trained to connect  ...  in the node embedding vector space.  ... 
arXiv:1905.01958v1 fatcat:chrv7er4tbe53mk7tdikt4frqe

That's a wrap!

Tasneem Zehra Husain
2003 Journal of High Energy Physics  
In this paper, we catagorize a type of generalised calibrations which exist in supergravity backgrounds and contain Kahler calibrations as a sub-class.  ...  Calibration technology provides us with a fast and elegant way to find the supergravity solutions for BPS wrapped M-branes.  ...  I am grateful to the Theory Group at the University of Texas at Austin for their hospitality and to Amer Iqbal and Julie Blum for discussions about this and related work. 4 A suitable modification of  ... 
doi:10.1088/1126-6708/2003/04/053 fatcat:pb4s46qatndapfyfruychekuku

TransA: An Adaptive Approach for Knowledge Graph Embedding [article]

Han Xiao, Minlie Huang, Yu Hao, Xiaoyan Zhu
2015 arXiv   pre-print
To address this issue, we propose TransA, an adaptive metric approach for embedding, utilizing the metric learning ideas to provide a more flexible embedding method.  ...  Knowledge representation is a major topic in AI, and many studies attempt to represent entities and relations of knowledge base in a continuous vector space.  ...  Furthermore, we would list two main reasons for the applied absolute operator.  ... 
arXiv:1509.05490v2 fatcat:e4vjsccpbnhzli5znb36q6ywzq

M2-branes wrapped on holomorphic curves

Tasneem Zehra Husain
2003 Journal of High Energy Physics  
Supersymmetry preservation imposes a constraint on the Hermitean metric in the embedding space and it is found that this can be expressed as a restriction on possible generalised calibrations.  ...  The generalised calibration for a wrapped membrane is gauge equivalent to the supergravity three-form under which the membrane is electrically charged.  ...  Acknowledgments I am grateful to Ansar Fayyazuddin for general encouragement and countless discussions during the course of this work and to Fawad Hassan for useful comments and a thorough reading of the  ... 
doi:10.1088/1126-6708/2003/12/037 fatcat:mmavrcqe65amhfbkxt3uoq5y4y

Page 2153 of Mathematical Reviews Vol. 50, Issue 6 [page]

1975 Mathematical Reviews  
{For the entire collection, see MR 48 #15.} L. A. Santalé (Zbl 257 #53057) Wan, Kay Kong; Derrick, G. H. 15854 The 4-surface of stationary volume embedded in a 5-dimensional pseudo-Euclidean space.  ...  The author considers a Riemannian space-time described by a metric in the Kerr-Schild form g,,=7 + H€€,, H being a scalar and é, being the tangent vector to a geodesic, shear-free null congruence.  ... 

Supergravity as generalised geometry II: E d(d) × ℝ+ and M theory

André Coimbra, Charles Strickland-Constable, Daniel Waldram
2014 Journal of High Energy Physics  
We reformulate eleven-dimensional supergravity, including fermions, in terms of generalised geometry, for spacetimes that are warped products of Minkowski space with a d-dimensional manifold M with d ≤  ...  The bosonic degrees for freedom unify into a generalised metric, and, defining the generalised analogue D of the Levi-Civita connection, one finds that the corresponding equations of motion are the vanishing  ...  Acknowledgments We would like to thank Mariana Graña for helpful discussions. This work was sup- Open Access.  ... 
doi:10.1007/jhep03(2014)019 fatcat:f3rwwdpfunfz3hsxixw27vy6ua

Supergravity as Generalised Geometry II: E_d(d)×R^+ and M theory [article]

André Coimbra, Charles Strickland-Constable, Daniel Waldram
2013 arXiv   pre-print
We reformulate eleven-dimensional supergravity, including fermions, in terms of generalised geometry, for spacetimes that are warped products of Minkowski space with a d-dimensional manifold M with d≤7  ...  The bosonic degrees for freedom unify into a generalised metric, and, defining the generalised analogue D of the Levi-Civita connection, one finds that the corresponding equations of motion are the vanishing  ...  A. C. is supported by the Portuguese Fundação para a Ciência e a Tecnologia under grant SFRH/BD/43249/2008. D.  ... 
arXiv:1212.1586v2 fatcat:wsenxa4c4ba3znb5biecacmgrm

Page 2107 of Mathematical Reviews Vol. 57, Issue 6 [page]

1979 Mathematical Reviews  
From the text: “An implicative model is an algebraic system (X, *, 1) in which X is a set, 1 € X, and * is a binary operation satisfying the axioms (A,)—{A,) listed below. We define x Sy. <> xy=1.  ...  If G is an ordered abelian group, a G-metric on a set X is a function p: Xx XG satisfying the usual conditions for a metric.  ... 

Metric bundles of split signature and type II supergravity [article]

Frederik Witt
2010 arXiv   pre-print
We study the geometry of type II supergravity compactifications in terms of an oriented vector bundle E, endowed with a bundle metric of split signature and further datum.  ...  The geometric structure is associated with a so-called generalised G-structure and characterised by an E-spinor ρ, which we can regard as a differential form of mixed degree.  ...  We refer to G B as a generalised Riemannian metric. The "embedded" case of G 0 where B = 0 is referred to as a straight generalised Riemannian metric.  ... 
arXiv:math/0610380v3 fatcat:b5h4luwn5rcqnliutr3doi4teu

LaLaLoc: Latent Layout Localisation in Dynamic, Unvisited Environments [article]

Henry Howard-Jenkins, Jose-Raul Ruiz-Sarmiento, Victor Adrian Prisacariu
2021 arXiv   pre-print
LaLaLoc learns a rich embedding space shared between RGB panoramas and layouts inferred from a known floor plan that encodes the structural similarity between locations.  ...  We present LaLaLoc to localise in environments without the need for prior visitation, and in a manner that is robust to large changes in scene appearance, such as a full rearrangement of furniture.  ...  [45] later employed a layout embedding space to aid in the prediction of room layouts.  ... 
arXiv:2104.09169v2 fatcat:gygml7zknnf4ll5c4z5jv4utca

Covariant un-reduction for curve matching [article]

Alexis Arnaudon, Marco Castrillon Lopez, Darryl D. Holm
2015 arXiv   pre-print
The process of un-reduction, a sort of reversal of reduction by the Lie group symmetries of a variational problem, is explored in the setting of field theories.  ...  This situation occurs in a variety of instances such as matching of surfaces or comparison of evolution between species.  ...  In particular, the operator for (6) is P = 1 + Aκ 2 and for (8) we have P = 1 − A 2 D 2 θ .  ... 
arXiv:1508.05325v1 fatcat:ulkrtbgrx5e7nplv4mokvmlfka

On the Reproducibility and Generalisation of the Linear Transformation of Word Embeddings [chapter]

Xiao Yang, Iadh Ounis, Richard McCreadie, Craig Macdonald, Anjie Fang
2018 Lecture Notes in Computer Science  
Linear transformation is a way to learn a linear relationship between two word embeddings, such that words in the two different embedding spaces can be semantically related.  ...  In this paper, we examine the reproducibility and generalisation of the linear transformation of word embeddings.  ...  Acknowledgements This paper was supported by a grant from the Economic and Social Research Council, (ES/L016435/1). The authors would like to thank the assessors for their efforts in reviewing tweets.  ... 
doi:10.1007/978-3-319-76941-7_20 fatcat:v5wxeokntvc6ncsl4vpuyzjo5y
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