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Temporal Knowledge Graph Completion using a Linear Temporal Regularizer and Multivector Embeddings

Chengjin Xu, Yung-Yu Chen, Mojtaba Nayyeri, Jens Lehmann
2021 Proceedings of the 2021 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies   unpublished
In this paper, we present a novel time-aware knowledge graph embebdding approach, TeLM, which performs 4th-order tensor factorization of a Temporal knowledge graph using a Linear temporal regularizer and  ...  Multivector embeddings.  ...  Acknowledgements This work is supported by the EC Horizon 2020 grant LAMBDA (GA no. 809965), the CLEOPA-TRA project (GA no. 812997) and the China Scholarship Council (CSC).  ... 
doi:10.18653/v1/2021.naacl-main.202 fatcat:ojzvvbbqd5gohlg3dddjtqydly

Trends in systolic and cellular computation

George Miel
1991 Journal of Computational and Applied Mathematics  
Using annotated lists of recent references, snapshots of active research areas are given on systolic linear solvers, the singular value decomposition, artificial neural networks, and the simulated annealing  ...  Two recent systolic methods, for solving systems of linear equations, one iterative and the other direct, are described.  ...  Acknowledgements The author is grateful to colleagues at Hughes Research Laboratories, Greg Nash, Wojtek Przytula and David Schwartz, who provided much of the information contained in this paper.  ... 
doi:10.1016/0377-0427(91)90178-m fatcat:ncp26oglknet3bjejr6klqhioa

Jacobi Geometry and Hamiltonian Mechanics: the Unit-Free Approach [article]

Carlos Zapata-Carratala
2020 arXiv   pre-print
After giving a characterisation of local Lie brackets via their symbol maps we apply our novel categorical language to review Jacobi manifolds and related notions such as Lichnerowicz brackets and Jacobi  ...  We precisely identify categories that generalise the ordinary categories of smooth manifolds and vector bundles to account for a lack of choice of a preferred unit, which in standard differential geometry  ...  of Jacobi geometry and showing me the line bundle approach that has been so heavily used in this work.  ... 
arXiv:2007.01772v1 fatcat:4vgtyqv3srdibg5smvabkwap7u

Spin-Torsion, Braneworlds and Changing Symmetry in the Universe [article]

Bernard Leong
2003 arXiv   pre-print
In the theme of extra dimensions, we discuss the dynamics of linearized scalar and tensor perturbations in an almost Friedmann-Robertson-Walker braneworld cosmology of Randall-Sundrum type II using the  ...  We derive a complete set of frame-independent equations for the total matter variables, and a partial set of equations for the non-local variables, which arise from the projection of the Weyl tensor in  ...  Linear functions extend to act on multivectors via f(a ∧ b ∧ . . . ∧ c) ≡ f (a) ∧ f (b) ∧ . . . ∧ f(c) (B.33) so that f is a grade-preserve linear function mapping multivectors to vectors.  ... 
arXiv:gr-qc/0311016v1 fatcat:oqt6p77dyrbxbdu7wxd4seekmq

Processing capacity defined by relational complexity: implications for comparative, developmental, and cognitive psychology

G S Halford, W H Wilson, S Phillips
1998 Behavioral and Brain Sciences  
A binary relation has two arguments, two sources of variation, and two instantiations, and so on.  ...  A binary relation has one argument and one source of variation; its argument can be instantiated in only one way at a time.  ...  used in support of a multivector processing space are better described by linear serial processes which do not require n-dimensional mappings for their emergence.  ... 
pmid:10191879 fatcat:qab6aeszo5hvpdp737mdi43gn4

Extended generalized geometry and a DBI-type effective action for branes ending on branes

Branislav Jurčo, Peter Schupp, Jan Vysoký
2014 Journal of High Energy Physics  
We naturally describe the correspondence of recently proposed commutative and noncommutative versions of an effective action for p-branes ending on a p'-brane.  ...  Leading terms in the double scaling limit are given by a generalization of a (semi-classical) matrix model.  ...  Acknowledgments It is a pleasure to thank Tsuguhiko Asakawa . We thank the DAAD (PPP) and ASCR & MEYS (Mobility) for supporting our collaboration.  ... 
doi:10.1007/jhep08(2014)170 fatcat:h2wa7n5ucnbj3kknex6klseumq

Theoretical Foundations of Computer Vision

Ruzena Bajcsy, Reinhard Klette, Walter Kropatsch, Franc Solina, Geschäftsstelle Dagstuhl
We are grateful to the administration of the Dagstuhl enterprise for creating a conducive environment that enabled us this successful interaction and accomplishment of our primary goals.  ...  This fact explains that this seminar was less focused and covered a broad variety of computer vision topics.  ...  These are geometric product, multivectors and blades, projection and rejection. GA of Euclidean space, and linear operators and outermorphism.  ... 

Geometric Wave Equations [article]

Stefan Waldmann
2012 arXiv   pre-print
of Green functions and Green operators is discussed including a detailed treatment of the Cauchy problem on a globally hyperbolic manifold both for the smooth and finite order setting.  ...  In these lecture notes we discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties  ...  The reader should have some background knowledge in differential geometry. We use the language of manifolds, vector bundles, and tensor calculus without further explanations.  ... 
arXiv:1208.4706v1 fatcat:wufwh2vykjflzac4uwsj5zg3d4

Special Issue: IPTV and Multimedia Services

E Mikóczy, I Vidal, D Kanellopoulos, Anton Železnikar, Matjaž Gams, Jožef Stefan, Drago Torkar, Jožef Stefan, Editorial Board, Juan Carlos, Augusto, Argentina (+13 others)
2012 unpublished
Finally, we hope the reader will share our joy and find this special issue very useful.  ...  Zeleznikar (Editor-in-Chief of the Informatica Journal) and Prof. Matjaz Gams (Managing Editor) for providing the opportunity to edit this special issue on "IPTV and Multimedia Services".  ...  [25] proposed another linear dimensionality reduction technique neighbourhood preserving embedding(NPE), which is the linearization of the locally linear embedding(LLE) algorithm and aims at finding  ... 

Universal Coefficient Theorem and Quantum Field Theory [chapter]

Andrei-Tudor Patrascu
2016 The Universal Coefficient Theorem and Quantum Field Theory  
Tennyson for his advices, understanding and support during the development of my research and the writing of this thesis. I also wish to thank to Prof. J.  ...  Iliopoulos for proofreading this work and for advises and support. This work is supported by ERC Advanced Investigator Project 267219. iv Articles published during the work on this thesis:  ...  η(g), g] (10.48) The knowledge of η determines the knowledge off .  ... 
doi:10.1007/978-3-319-46143-4_9 fatcat:ydeetsq2sjcbtj3ckkoj3iv7ba

The International Symposium on Advances in Content-oriented Networks and Systems CONNET 2015 Technical Program Committee

Tao Zheng, Carlos Westphall, Pedro Andrés, Aranda Gutiérrez, Telefónica I+d -Madrid, Spain Carlos, Becker Westphall, Simone Silvestri, Yoshiaki Taniguchi, Abdulrahman Yarali, Emmanuel Bertin, Steffen Fries (+201 others)
The efforts of successful research projects, progressive service providers deploying IPv6 services and enterprises led to a significant body of knowledge and expertise.  ...  Grids offer a uniform interface to a distributed collection of heterogeneous computational, storage and network resources.  ...  It could cache the embedded objects Reconstruct /foo/page/all--in--one/s3 using external knowledge of /foo/markup/s0 Figure 9 .  ... 


Evgenia-Maria Kontopoulou
Our algorithms are inspired by recent advances in RandomizedNumerical Linear Algebra (RandNLA), an interdisciplinary research area that exploitsrandomization as a computational resource to develop improved  ...  algorithms forlarge-scale linear algebra problems.  ...  Unlike [HMAS17] , the method in [UCS17] doesn't seem to require prior knowledge of any eigenvalues. Finally, a completely different method has appeared in [SAI17] .  ... 
doi:10.25394/pgs.12730334 fatcat:ohbu56iojjfmzh5wnwq4ie2i4u

Geometry, Kinematics, and Rigid Body Mechanics in Cayley-Klein Geometries [article]

Charles Gunn, Technische Universität Berlin, Technische Universität Berlin, Ulrich Pinkall
This thesis presents a modern formulation of rigid body mechanics in spaces of constant curvature. It consists of a theoretical and a practical part.  ...  Bivectors act as Lie algebra elements; the induced vector field is decomposed as the composition of a null polarity and a metric polarity. Statics is briefly handled in this framework.  ...  We seek a bijection J : P( V) ↔ P( V * ) such that J(S W ) = S W * . If we have found J for the basis k-blades, then it extends by linearity to multivectors.  ... 
doi:10.14279/depositonce-3058 fatcat:w6lyzmw6zvc5hja3okryh5gete


Dominguez Hills, S Trihandaru, Antun Rubči´crubˇrubčirubči´, Rubči´c, Jasna Rubči´crubˇrubčirubči´, Rubči´c
It is of our hope that this volume could open a new chapter in our knowledge on the formation and structure of Astrophysical systems.  ...  It is our hope that the present book could open a new chapter in our knowledge on the formation and structure of Astrophysical systems. November 26 th , 2006 M. Pitkanen  ...  Castro, and D.L. Rapoport for valuable discussions. Special thanks to D. Rabounski, S. Crothers, L. Borissova, and also to Prof. A.  ...