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Systematic Generalization with Edge Transformers [article]

Leon Bergen, Timothy J. O'Donnell, Dzmitry Bahdanau
2021 arXiv   pre-print
The first key idea in Edge Transformers is to associate vector states with every edge, that is, with every pair of input nodes -- as opposed to just every node, as it is done in the Transformer model.  ...  Recent research suggests that systematic generalization in natural language understanding remains a challenge for state-of-the-art neural models such as Transformers and Graph Neural Networks.  ...  Acknowledgments and Disclosure of Funding We gratefully acknowledge the support of NVIDIA Corporation with the donation of two Titan V GPUs used for this research.  ... 
arXiv:2112.00578v1 fatcat:v5fwkhdxargahd5odzzlupt7xe

Towards a Systematic Approach to Graph Data Modeling: Scenario-based Design and Experiences

Mengjia Zhao, Yan Liu, Peng Zhou
2016 Proceedings of the 28th International Conference on Software Engineering and Knowledge Engineering  
This paper presents an exploration of a systematic approach for graph data modeling-SuMo.  ...  SuMo defines a set of rules for the subsequent transformation of this domain model to produce a graph model.  ...  However, a systematic solution can not be generalized or summarized.  ... 
doi:10.18293/seke2016-119 dblp:conf/seke/ZhaoLZ16 fatcat:5ufmewunyfeq5m37gk5xhsiali

Optimizing GHT-Based Heart Localization in an Automatic Segmentation Chain [chapter]

Axel Saalbach, Irina Wächter-Stehle, Reinhard Kneser, Sabine Mollus, Jochen Peters, Jürgen Weese
2011 Lecture Notes in Computer Science  
In particular, we consider the Generalized Hough Transformation (GHT) and 3D heart segmentation in Computed Tomography Angiography (CTA) images.  ...  This is achieved with coarse image sampling, a coarse Hough space resolution and a filtering step that we introduced to remove unspecific edges.  ...  In particular, we considered the Generalized Hough Transformation (GHT) for heart localization and heart segmentation in CTA.  ... 
doi:10.1007/978-3-642-23626-6_57 fatcat:zdk53xw3hjhrbj3xon5p7htm5y

Marching Cubes without Skinny Triangles

Carlos A. Dietrich, Carlos E. Scheidegger, João L.D. Comba, Luciana P. Nedel, Cláudio T. Silva
2009 Computing in science & engineering (Print)  
Marching Cubes is the standard isosurface grid generation algorithm, and while most triangles it generates are good, it almost always generates some bad triangles.  ...  Here we show how simple changes to Marching Cubes can lead to a drastically reduced number of degenerate triangles, making it a more practical choice for isosurface grid generation, reducing or eliminating  ...  Acknowledgments Extra material An online supplement to this paper contains the full source code for the improved MC algorithm as suggested by this paper together with the improved case table.  ... 
doi:10.1109/mcse.2009.34 fatcat:t3xnjpoykfdcfkqnbt2yblsqzi

Rational curves and isoparametric transformations

M.L. Baart, R.J.Y. McLeod
1987 Journal of Computational and Applied Mathematics  
We show that projective transformations can be used to produce conic parameterizations in a systematic way.  ...  Examples of transformations and of suitable bases are given for triangular elements with one conic and two straight edges. 0377-0427/87/$3.50 0 1987, Elsevier Science Publishers B.V. (North-Holland)  ...  We shall restrict the discussion to triangular elements with one general conic edge and two straight edges, and with normalized local coordinates introduced in such a way that the straight edges lie on  ... 
doi:10.1016/0377-0427(87)90060-4 fatcat:nvmfjlrc6vf3hgwjech2h7fjcy

LAGr: Label Aligned Graphs for Better Systematic Generalization in Semantic Parsing [article]

Dora Jambor, Dzmitry Bahdanau
2022 arXiv   pre-print
To this end we propose LAGr (Label Aligned Graphs), a general framework to produce semantic parses by independently predicting node and edge labels for a complete multi-layer input-aligned graph.  ...  In this work, we show that better systematic generalization can be achieved by producing the meaning representation directly as a graph and not as a sequence.  ...  A.4 Further COGS examples Table 5 shows further examples from COGS's generalization set with various cases for challenging models' ability to test systematic generalization.  ... 
arXiv:2205.09607v2 fatcat:ppugki3aivgdte733g4tysztxu

Towards Testing the Implementation of Graph Transformations

Andrea Darabos, András Pataricza, Dániel Varró
2008 Electronical Notes in Theoretical Computer Science  
We present a method for testing the implementation of graph transformation specifications focusing on test case generation for graph pattern matching.  ...  We integrate traditional hardware testing (combinational circuits) and software testing techniques (mutant generation) for generating test cases.  ...  . • Test Generation With systematic fault injection, single faults are injected into the inputs of the circuit.  ... 
doi:10.1016/j.entcs.2008.04.031 fatcat:yxmqc333vzfhrj3mmgwtxnnkzu

LAGr: Labeling Aligned Graphs for Improving Systematic Generalization in Semantic Parsing [article]

Dora Jambor, Dzmitry Bahdanau
2022 arXiv   pre-print
In this work, we show that better systematic generalization can be achieved by producing the meaning representation (MR) directly as a graph and not as a sequence.  ...  Recent research has pointed out that the commonly-used sequence-to-sequence (seq2seq) semantic parsers struggle to generalize systematically, i.e. to handle examples that require recombining known knowledge  ...  A.4 Further COGS examples Table 5 shows further examples from COGS's generalization set with various cases for challenging models' ability to test systematic generalization.  ... 
arXiv:2110.07572v2 fatcat:ytoz4nmx4ffkrfsryckn4j6yty

Convergence-optimized, higher order vector finite elements for microwave simulations

T.V. Yioultsis, T.D. Tsiboukis
2001 IEEE Microwave and Wireless Components Letters  
We introduce a general class of higher order parameter-dependent Whitney elements, unlike previous approaches that resulted in specific element definitions.  ...  The most essential fact, though, is the introduction of an optimization procedure, which reveals the existence of an optimal, with respect to convergence, element.  ...  should link edge DOFs with those on the same edge only, or a face DOF with all face and edge DOFs of the same face. Hence, further links are not possible.  ... 
doi:10.1109/7260.959316 fatcat:2jwe2sobhvcydoep44brffgz24

Transforming engineering problems through graph representations

Offer Shai
2003 Advanced Engineering Informatics  
The paper introduces a general approach for solving engineering problems by transforming them to problems in other engineering fields, through general discrete mathematical models called graph representations  ...  problem is associated with a known solution.  ...  with a unidirectional edge.  ... 
doi:10.1016/j.aei.2003.09.001 fatcat:y5cnjoxxq5enzii3jf2gifeavq

The analysis of x-ray absorption fine structure: beam-line independent interpretation

J L Glover, C T Chantler
2007 Measurement science and technology  
By correcting for all major systematic errors in XAFS data, one can determine bond lengths more robustly and with greater accuracy.  ...  We investigate the consequence upon XAFS interpretation of typical systematic errors, including determination of the edge energy, detector response and synchrotron bandwidth.  ...  We use the most common procedure, by first approximating E 0 with the edge inflection point energy, E inf . The Fourier transform of χ(k) is χ(R).  ... 
doi:10.1088/0957-0233/18/9/022 fatcat:7szi3263b5f57nzqvdjlmed33m

Graph Transformations for the Vehicle Routing and Job Shop Scheduling Problems [chapter]

J. Christopher Beck, Patrick Prosser, Evgeny Selensky
2002 Lecture Notes in Computer Science  
We demonstrate how the transformations a ect the ratio of edge to node weight and how they change the relative weights of edges at a node.  ...  These transformations are based on increasing node weights while reducing edge weights or the inverse.  ...  In this paper, we present the graph transformations in a more general framework and perform a systematic analysis of their impact on complete weighted graphs.  ... 
doi:10.1007/3-540-45832-8_7 fatcat:nns23aphgvefvmnvb7o3rxriau

A Systematic Approach to Metamodeling Environments and Model Transformation Systems in VMTS

Tihamér Levendovszky, László Lengyel, Gergely Mezei, Hassan Charaf
2005 Electronical Notes in Theoretical Computer Science  
The feasibility of the approach is illustrated by a transformation which generates C/C++ code from UML statecharts.  ...  The concepts of an n-layer metamodeling environment is outlined with the related topological and attribute issues.  ...  This paper presents the principles of a systematic metamodel-based approach to modeling environments and model transformation via a model editor/storage and transformation software package called Visual  ... 
doi:10.1016/j.entcs.2004.12.040 fatcat:y4uqiknumndzfor2nrs37nbehe

A High-Resolution Electron Microscopy Study of Dislocations in Graphene Nano-Flakes Produced by Chemical Ultrasonic Exfoliation

Dwight Acosta, Natasha Kramsky, Francisco Hernández, Carlos Magaña
2018 Microscopy and Microanalysis  
In order to perform a systematic structural study, the micrograph was divided in twelve zones, marked from A to L, of equal size; then, for each zone and in a first instance, Fourier Transform and Inverse  ...  Fourier Transform were obtained and analyzed.  ...  In order to perform a systematic structural study, the micrograph was divided in twelve zones, marked from A to L, of equal size; then, for each zone and in a first instance, Fourier Transform and Inverse  ... 
doi:10.1017/s1431927618008644 fatcat:xl5fza6vbncpfnqmdf3nwzm4ii

DATUM TRANSFORMATION OF SPATIAL DATA AND APPLICATION IN CADASTRE

A. Kısa, B. Erkek, L. Ekin
2012 The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
As a result of primary cadastral activities two main products are generated; cadastral maps and title deeds.  ...  At last, cadastral map updating (renovation) started in 2009 by using digital orthophoto with 30 cm GSD.  ...  full of random and systematic errors.  ... 
doi:10.5194/isprsarchives-xxxix-b4-13-2012 fatcat:qnmbnvipjfh3rbaf43hmqxzcju
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