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A New Graph Parameter To Measure Linearity [article]

Pierre Charbit, Michel Habib, Lalla Mouatadid, Reza Naserasr
2021 arXiv   pre-print
When applying graph searching algorithms, such as LexBFS, to order the vertices of a graph, one must occasionally break ties.  ...  Intuitively speaking, we prove for graphs with a known notion of linearity (e.g., interval graphs with their interval representation on the real line), this cycle cannot be too big, no matter which vertex  ...  & Perspectives In this paper, we study a new graph parameter, LexCycle, which measures the maximum length of a cycle of LexBFS + sweeps.  ... 
arXiv:1702.02133v4 fatcat:au3ssr5jhjcc7mcnv6ur6pqtge

Review of Factor Graphs for Robust GNSS Applications [article]

Shounak Das
2021 arXiv   pre-print
In this article, we review how factor graphs are implemented in GNSS, some of their advantages over Kalman Filters, and their importance in making positioning solutions more robust to degraded measurements  ...  Factor graphs have recently emerged as an alternative solution method for GNSS positioning.  ...  It might appear that with accumulation of new measurements over a longer time, the batch estimation might lose real-time performance.  ... 
arXiv:2112.07794v1 fatcat:dgpshiapkvfcrmfpwqec6j4cqe

Continuous Variables Graph States Shaped as Complex Networks: Optimization and Manipulation

Francesca Sansavini, Valentina Parigi
2019 Entropy  
Cluster states are a resource for measurement-based quantum information protocols, where the quality of a cluster is assessed in terms of the minimal amount of noise it introduces in the computation.  ...  More recently, complex network theory has been applied to quantum systems, where complex network topologies may emerge in multiparty quantum states and quantum algorithms have been studied in complex graph  ...  The rewiring parameter p WS spans from 0, the regular graph, to 1, which corresponds to a totally random graph, as shown in Figure 1 .  ... 
doi:10.3390/e22010026 pmid:33285801 fatcat:xkrz52e5ordv5oic5s77bowwrm

Data mining when each data point is a network [article]

Karthikeyan Rajendran, Assimakis A. Kattis, Alexander Holiday, Risi Kondor, Ioannis G. Kevrekidis
2016 arXiv   pre-print
Being able to find the intrinsic low-dimensionality in ensembles of graphs can be useful in a variety of modeling contexts, especially when coarse-graining the detailed graph information is of interest  ...  One of the main challenges in mining graph data is the definition of a suitable pairwise similarity metric in the space of graphs.  ...  Thus, if all the machinery of non-linear data mining is to be successfully adapted to the case of graph data, one has to be able to define a measure of similarity and closeness between pairs of graphs.  ... 
arXiv:1612.02908v1 fatcat:zehngwoxyzannkr4uzbm2alxwa

Nonlinear Correlations in Multifractals: Visibility Graphs of Magnitude and Sign Series [article]

Pouya Manshour
2019 arXiv   pre-print
In this respect, we introduce a topological parameter that can well measure the strength of nonlinear correlations.  ...  In this article, we apply the horizontal visibility graph algorithm to map stochastic time series into networks.  ...  To solve this, we define a new topological parameter for measuring the strength of nonlinearity as follow: ∆σ = |σ |x| k − σ |x RP | k | σ |x RP | k (3) where x RP shows the series x that its nonlinearity  ... 
arXiv:1910.13179v1 fatcat:o7njweu6hjb5dfxpt73xqzem5y

Information fusion in navigation systems via factor graph based incremental smoothing

Vadim Indelman, Stephen Williams, Michael Kaess, Frank Dellaert
2013 Robotics and Autonomous Systems  
removal of measurement sources.  ...  cost. a b s t r a c t This paper presents a new approach for high-rate information fusion in modern inertial navigation systems, that have a variety of sensors operating at different frequencies.  ...  This is equivalent to adding a new row (or block-row in the case of multidimensional states) to the measurement Jacobian of the linearized least-squares problem.  ... 
doi:10.1016/j.robot.2013.05.001 fatcat:pehk5gslizgajodqvknpoyp6ou

New Generalized Informatics Framework for Development of Large Scale Virtual Battery Material Databases [article]

Scott R. Broderick, Kaito Miyamoto, Krishna Rajan
2022 arXiv   pre-print
In the design of batteries, selecting the proper material is difficult because there are so many metrics to consider, including capacity which is a fundamental engineering property.  ...  Using reported experimental data as our starting point, we demonstrate how we can build a dataset that provides a guide for the selection of battery materials.  ...  For this reason, the non-linear parameterization approach was applied to develop a new set of parameters.  ... 
arXiv:2203.08697v1 fatcat:abstfnoyfzeunnhyt6oqdce3si

Towards modelling the internet topology—The interactive growth model [chapter]

Shi Zhou, Raúl J. Mondragón
2003 Teletraffic science and engineering  
The Internet topology at the Autonomous Systems level (AS graph) has a powerlaw degree distribution and a tier structure.  ...  In this paper, we introduce the Interactive Growth (IG) model based on the joint growth of new nodes and new links.  ...  It is possible to include other parameters in the IG model, such as bandwidth and delay. We expect the model to be used in simulation-based research for the Internet traffic engineering.  ... 
doi:10.1016/s1388-3437(03)80157-9 fatcat:o7zmklc4hbgjnprgjzlciwh2xy

Automated parameter extraction software for silicon and high-voltage silicon carbide power diodes

Nanying Yang, Tam Duong, Jeong-O Jeong, Jose M. Ortiz, Allen Hefner, Kathleen Meehan
2010 2010 IEEE 12th Workshop on Control and Modeling for Power Electronics (COMPEL)  
To verify the accuracy of DIMPACT, the extracted model parameter sets are incorporated into the circuit simulation software to compare model predictions with measured static and transient diode characteristics  ...  In this paper, the DIMPACT parameter extraction results are demonstrated for a 45 V, 15 A Si Schottky diode; a 600 V, 200 A Si PiN diode; a 10 kV, 5 A SiC Junction Barrier Schottky (JBS) diode; and a 10  ...  This new software tool provides a method to extract the necessary modeling parameters for four classes of power diodes: (a) Schottky diodes, which offer high switching speed but suffer from high leakage  ... 
doi:10.1109/compel.2010.5562392 fatcat:fdlrcnb7dzbqrgumaecsouakyq

Towards Modelling The Internet Topology - The Interactive Growth Model

Shi Zhou, Raul J. Mondragon
2003 arXiv   pre-print
The Internet topology at the Autonomous Systems level (AS graph) has a power--law degree distribution and a tier structure.  ...  In this paper, we introduce the Interactive Growth (IG) model based on the joint growth of new nodes and new links.  ...  It is possible to include other parameters in the IG model, such as bandwidth and delay. We expect the model to be used in simulation-based research for the Internet traffic engineering.  ... 
arXiv:cs/0303029v4 fatcat:exhh35u6jravdnaf6mbzsild44

Continuous variables graph states shaped as complex networks: optimization and manipulation [article]

Francesca Sansavini, Valentina Parigi
2019 arXiv   pre-print
Cluster states are a resource for measurement-based quantum information protocols, where the quality of a cluster is assessed in term of the minimal amount of noise it introduces in the computation.  ...  More recently complex network theory has been applied to quantum systems, where complex network topologies may emerge in multiparty quantum states and quantum algorithms have been studied in complex graph  ...  The rewiring parameter p W S spans from 0, the regular graph, to 1, which corresponds to a totally random graph.  ... 
arXiv:1912.03265v1 fatcat:r346g6xwp5am3ci6fz2nakm4y4

Minimum Error Rate Training for Bilingual News Alignment [chapter]

Can Wang, Yang Liu, Maosong Sun
2013 Lecture Notes in Computer Science  
Accordingly, we propose a discriminative model for bilingual news alignment, which is capable of incorporating arbitrary information sources as features.  ...  The major challenge to identify such closely related bilingual news articles is how to take full advantage of various information sources such as length, translation equivalence and publishing date.  ...  To alleviate these problems, we propose a linear model for bilingual news alignment.  ... 
doi:10.1007/978-3-642-45185-0_45 fatcat:bacoh6j2fnhxhppk432jdbmuxe

Kinematics of a Two Movable Disintegrator with Drives Based on the Bennett's Mechanism

M G Yarullin, F F Khabibullin
2018 KnE Engineering  
This paper consider the nature of the change of this parameter, as well as the linear velocity of the working element characteristic points.  ...  Their values are determined by three independent methods: analytical calculation, CAD / CAE analysis and experimental measurements. The results are compared and analyzed.  ...  In order to obtain a more accurate average total value, the maximum and minimum parameters of the linear velocity at each characteristic point, the measurements were carried out by fivefold repetition.  ... 
doi:10.18502/keg.v3i4.2234 fatcat:shh4ygierff3pnoaotmc7ba5iy

Page 4224 of Mathematical Reviews Vol. , Issue 95g [page]

1995 Mathematical Reviews  
What can be learned from graphs and which graphs should be drawn? How can graphs be used to learn about fundamental features of regression problems?  ...  For more general parameter spaces, conditions are given to ensure that the M-estimate eventually falls into a compact subspace.  ... 

Bond graph to digraph conversion: A sensor placement optimization for fault detection and isolation by a structural approach

SAÏD ALEM, DJAMEL BENAZZOUZ
2014 Sadhana (Bangalore)  
This approach is based on the conversion of Bond Graph to Digraph representation of a structural system.  ...  This novel approach is illustrated over a thermo-fluid application.  ...  To check if supplementary measurements allow to solve the problem we could simply add the new output vertices, the new edges, and verify on the modified graph that the condition is satisfied.  ... 
doi:10.1007/s12046-014-0276-z fatcat:b2ea7tn5sjente634xqyryq2pq
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