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On the connection of hypergraph theory with formal concept analysis and rough set theory

Gianpiero Cattaneo, Giampiero Chiaselotti, Davide Ciucci, Tommaso Gentile
2016 Information Sciences  
In this framework, we are able to solve typical problems of Rough Set Theory and Formal Concept Analysis using combinatorial techniques.  ...  We present a unique framework for connecting different topics: hypergraphs from one side and Formal Concept Analysis and Rough Set Theory from the other.  ...  The poset (Υ(I), ) is an important structure in granular computing and in rough set theory (see [35] ) as well as in database theory (see [22] ).  ... 
doi:10.1016/j.ins.2015.09.054 fatcat:m67dtiyorze3vl3mnwrboosaei

Non-convex clustering using expectation maximization algorithm with rough set initialization

Pabitra Mitra, Sankar K. Pal, Md Aleemuddin Siddiqi
2003 Pattern Recognition Letters  
Rough set theory helps in faster convergence and avoidance of the local minima problem, thereby enhancing the performance of EM. MST helps in determining non-convex clusters.  ...  An integration of a minimal spanning tree (MST) based graph-theoretic technique and expectation maximization (EM) algorithm with rough set initialization is described for non-convex clustering.  ...  features) in a granular universe.  ... 
doi:10.1016/s0167-8655(02)00198-8 fatcat:dk6neotu3jakfewirhc37nhk4y

The hierarchical properties of contact networks in granular packings [article]

T. Aste, T.J. Senden
2005 arXiv   pre-print
Here we apply to granular matter an approach which was originally developed for the study of crystalline systems (Brunner & Laves 1971; O'Keeffe 1991b; Conway & Sloane 1997) and disordered foams .  ...  COORDINATION NUMBER The average number of spheres in contact with any given sphere have been widely investigated in the literature of granular matter (Bernal & Mason 1960; Scott 1962; Seidler et al. 2000  ... 
arXiv:cond-mat/0504359v1 fatcat:kjmcaph5jbgdxpvsipwt6uznqq

Influence of particle characteristics on granular friction

Jennifer L. Anthony
2005 Journal of Geophysical Research  
granular fault gouge.  ...  We suggest that force chains exhibit qualitative differences as a function of grain angularity and bounding surface roughness.  ...  et al., 1992; Sammis and Steacy, 1994; Scott et al., 1994] .  ... 
doi:10.1029/2004jb003399 fatcat:vxaaelwt6bbjfkbayg2ywoixyy

A granular neural network: Performance analysis and application to re-granulation

Scott Dick, Andrew Tappenden, Curtis Badke, Olufemi Olarewaju
2013 International Journal of Approximate Reasoning  
The multi-granularity problem is one of the key open problems in Granular Computing.  ...  We present the Granular Neural Network, a novel adaptive neural network architecture that employs granular values and operations at the level of individual neurons.  ...  GrC arises from the fusion of several different reasoning formalisms, including fuzzy sets, rough sets [3-6], fuzzy-rough sets [7], interval analysis, shadowed sets [2], and their various hybridizations  ... 
doi:10.1016/j.ijar.2013.01.012 fatcat:mkpfkplh3jbtdlfkkmpnee7ete

Edwards Statistical Mechanics for Jammed Granular Matter [article]

Adrian Baule, Flaviano Morone, Hans J. Herrmann, Hernán A. Makse
2017 arXiv   pre-print
We discuss the construction of microcanonical and canonical ensembles based on the volume function, which replaces the Hamiltonian in jammed systems.  ...  In 1989, Sir Sam Edwards made the visionary proposition to treat jammed granular materials using a volume ensemble of equiprobable jammed states in analogy to thermal equilibrium statistical mechanics,  ...  Experiments of hard sphere packings go back to the seminal work by Bernal and Scott (Bernal, 1960; Bernal and Mason, 1960; Scott, 1960 Scott, , 1962 .  ... 
arXiv:1602.04369v4 fatcat:cgmovonntjh7hbqmp4cyb4qpwa

Spectral responses in granular compaction

Ling-Nan Zou
2010 Physical Review E  
of the system.  ...  Finally, I examine the effect of finite system size on the spectrum of compaction dynamics.  ...  in size as the system approaches the jammed state [61] .  ... 
doi:10.1103/physreve.81.031302 pmid:20365729 fatcat:wqpd25kbwzdhfj57jpdub5mt4u

Granular Matter: A Tentative View [chapter]

P. G. de Gennes
1999 More Things in Heaven and Earth  
Granular matter describes large collections of small grains, under conditions in which the Brownian motion of the grains is negligible (sizes dϾ1 micrometer).  ...  The present discussion is restricted to static problems, for which the main approach is to describe properly the initial state of each volume element, when it was deposited from a fluid flow.  ...  POWDERS IN NATURE AND IN INDUSTRY Granular matter refers to particle systems in which the size d is larger than one micron.  ... 
doi:10.1007/978-1-4612-1512-7_41 fatcat:4bdlqyreqnc5lmpbqxssd7shm4

Granular matter: a tentative view

P. G. de Gennes
1999 Reviews of Modern Physics  
Granular matter describes large collections of small grains, under conditions in which the Brownian motion of the grains is negligible (sizes dϾ1 micrometer).  ...  The present discussion is restricted to static problems, for which the main approach is to describe properly the initial state of each volume element, when it was deposited from a fluid flow.  ...  POWDERS IN NATURE AND IN INDUSTRY Granular matter refers to particle systems in which the size d is larger than one micron.  ... 
doi:10.1103/revmodphys.71.s374 fatcat:czh3sfkkfzgb3crfzzwtznb4ri

Edwards statistical mechanics for jammed granular matter

Adrian Baule, Flaviano Morone, Hans J. Herrmann, Hernán A. Makse
2018 Reviews of Modern Physics  
We discuss the construction of microcanonical and canonical ensembles based on the volume function, which replaces the Hamiltonian in jammed systems.  ...  Here, we review a systematic approach to jammed matter based on the Edwards statistical mechanical ensemble.  ...  Experiments of hard sphere packings go back to the seminal work by Bernal and Scott (Bernal, 1960; Bernal and Mason, 1960; Scott, 1960 Scott, , 1962 .  ... 
doi:10.1103/revmodphys.90.015006 fatcat:jfijspvodvavzp4fhyf6xikys4

What Controls the Rheology of Granular Materials? [chapter]

Einat Aharonov
2004 Continuum Models and Discrete Systems  
Correspondingly, these Convective Cahn-Hilliard models have been suggested for the description of phase separation of driven systems and instabilities of crystallization fronts.  ...  A phase field model is proposed which incorporates the effects of slowly varying internal variables via a delayed or time averaged response of the system to the ambient driving forces.  ...  Friedman, Scott B. Jones and David A.  ... 
doi:10.1007/978-1-4020-2316-3_52 fatcat:x4kh7xkf6fajloq6fffagbyp24

Coupling rheology and segregation in granular flows

T. Barker, M. Rauter, E. S. F. Maguire, C. G. Johnson, J. M. N. T. Gray
2020 Journal of Fluid Mechanics  
A novel feature of this approach is that any number of differently sized phases may be included, which may have disparate frictional properties.  ...  This general approach is based on the partially regularized incompressible μ(I)-rheology, which is coupled to the gravity-driven segregation theory of Gray & Ancey (J.  ...  Barker and others The granular inflow velocity is therefore set to u g = u Bagnold e x .  ... 
doi:10.1017/jfm.2020.973 fatcat:cg474lyrsvamnahckjkqk6r5q4

Diffusion as a mixing mechanism in granular materials

C. Henrique, G. Batrouni, D. Bideau
2000 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
We present several numerical results on granular mixtures. In particular, we examine the efficiency of diffusion as a mixing mechanism in these systems.  ...  We examine a model for bidisperse systems for which we can calculate some physical quantities.  ...  Scott and J. Bridgwater, Powd. Tech. 14 (1976) 177-183 4 C. S. Cambell Ann. Rev. Fluids. Mech. 22 (1990) 57-92  ... 
doi:10.1103/physreve.63.011304 pmid:11304253 fatcat:gdexrby37vafhmvmpkofahowfu

Machine Learning Reveals the State of Intermittent Frictional Dynamics in a Sheared Granular Fault [article]

C. X. Ren, O. Dorostkar, B. Rouet-Leduc, C. Hulbert, D. Strebel, R. A. Guyer, P. A. Johnson, J. Carmeliet
2019 arXiv   pre-print
, as particles do in slowly sheared granular systems.  ...  Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves  ...  The granular flow remains in the quasi-static regime by setting the inertial number to be below 10 -3 [MiDi, 2004] . We use LIGGGHTS Kloss et al., 2012] to model the granular system.  ... 
arXiv:1903.11157v1 fatcat:va2l2vv7rzcxtfsgepu5m746yu

Nanoscale detection of metastable states in porous and granular media

Eduard Ilin, Yaofa Li, Eugene V. Colla, Kenneth T. Christensen, Muhammad Sahimi, Maxim Marchevsky, Scott M. Frailey, Alexey Bezryadin
2020 Journal of Applied Physics  
We conjecture that a primary factor causing microseismicity is the existence of metastable states in granular porous medium and provide experimental evidence for its validity.  ...  When the temperature approached that of liquid nitrogen at 77 K, the jumps disappeared because the temperature changed very slowly as the system approached its new equilibrium state.  ...  Control experiments on rough Si substrates with surface pores, which did not have a granular texture, did not exhibit such resistance jumps.  ... 
doi:10.1063/1.5135321 fatcat:khc5mzewa5bivfolcr5psuweru
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