Associative memory on a small-world neural network View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-04

AUTHORS

L. G. Morelli, G. Abramson, M. N. Kuperman

ABSTRACT

We study a model of associative memory based on a neural network with small-world structure. The efficacy of the network to retrieve one of the stored patterns exhibits a phase transition at a finite value of the disorder. The more ordered networks are unable to recover the patterns, and are always attracted to non-symmetric mixture states. Besides, for a range of the number of stored patterns, the efficacy has a maximum at an intermediate value of the disorder. We also give a statistical characterization of the spurious attractors for all values of the disorder of the network. More... »

PAGES

495-500

References to SciGraph publications

  • 1998-06. Collective dynamics of ‘small-world’ networks in NATURE
  • 2000-02. On the properties of small-world network models in THE EUROPEAN PHYSICAL JOURNAL B
  • 2000-11. Models of the Small World in JOURNAL OF STATISTICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1140/epjb/e2004-00144-7

    DOI

    http://dx.doi.org/10.1140/epjb/e2004-00144-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1025204659


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/1701", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Psychology", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/17", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Psychology and Cognitive Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "International Centre for Theoretical Physics", 
              "id": "https://www.grid.ac/institutes/grid.419330.c", 
              "name": [
                "Abdus Salam International Center for Theoretical Physics, P.O. Box 586, 34100, Trieste, Italy"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Morelli", 
            "givenName": "L. G.", 
            "id": "sg:person.0757462657.79", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0757462657.79"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Bariloche Atomic Centre", 
              "id": "https://www.grid.ac/institutes/grid.418211.f", 
              "name": [
                "Centro At\u00f3mico Bariloche, CONICET and Instituto Balseiro, 8400, S.C. de Bariloche, Argentina"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Abramson", 
            "givenName": "G.", 
            "id": "sg:person.01143510413.81", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01143510413.81"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Bariloche Atomic Centre", 
              "id": "https://www.grid.ac/institutes/grid.418211.f", 
              "name": [
                "Centro At\u00f3mico Bariloche, CONICET and Instituto Balseiro, 8400, S.C. de Bariloche, Argentina"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kuperman", 
            "givenName": "M. N.", 
            "id": "sg:person.01077711314.36", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01077711314.36"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1103/physreve.64.056135", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001576924"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.64.056135", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001576924"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.67.026125", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009255259"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.67.026125", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009255259"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1126/science.286.5439.509", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010080128"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.65.041908", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017525921"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.65.041908", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017525921"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1209/epl/i2002-00670-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022929654"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1026485807148", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025139721", 
              "https://doi.org/10.1023/a:1026485807148"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.86.2909", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027231543"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.86.2909", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027231543"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.65.066110", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034653361"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.65.066110", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034653361"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/37/7/006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035518307"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0925-2312(01)00378-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036849987"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.68.047102", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040070144"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.68.047102", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040070144"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s100510050067", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040647708", 
              "https://doi.org/10.1007/s100510050067"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1038/30918", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041985305", 
              "https://doi.org/10.1038/30918"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1038/30918", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041985305", 
              "https://doi.org/10.1038/30918"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/36/37/302", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048726129"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.88.048701", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052492017"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.88.048701", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052492017"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1209/0295-5075/4/2/007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064230861"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/cbo9780511623257", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098664010"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/cbo9780511622793", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098728153"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2004-04", 
        "datePublishedReg": "2004-04-01", 
        "description": "We study a model of associative memory based on a neural network with small-world structure. The efficacy of the network to retrieve one of the stored patterns exhibits a phase transition at a finite value of the disorder. The more ordered networks are unable to recover the patterns, and are always attracted to non-symmetric mixture states. Besides, for a range of the number of stored patterns, the efficacy has a maximum at an intermediate value of the disorder. We also give a statistical characterization of the spurious attractors for all values of the disorder of the network.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1140/epjb/e2004-00144-7", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1129956", 
            "issn": [
              "1155-4304", 
              "1286-4862"
            ], 
            "name": "The European Physical Journal B", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "3", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "38"
          }
        ], 
        "name": "Associative memory on a small-world neural network", 
        "pagination": "495-500", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "78132973e5ce0933dc0136e4d65f82c7f6eb2f79bd19977efdd8aace7a5e5966"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1140/epjb/e2004-00144-7"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1025204659"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1140/epjb/e2004-00144-7", 
          "https://app.dimensions.ai/details/publication/pub.1025204659"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T01:57", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8700_00000499.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1140/epjb/e2004-00144-7"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1140/epjb/e2004-00144-7'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1140/epjb/e2004-00144-7'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1140/epjb/e2004-00144-7'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1140/epjb/e2004-00144-7'


     

    This table displays all metadata directly associated to this object as RDF triples.

    135 TRIPLES      21 PREDICATES      45 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1140/epjb/e2004-00144-7 schema:about anzsrc-for:17
    2 anzsrc-for:1701
    3 schema:author Nd17623ce7fa146e797762420763ebbb6
    4 schema:citation sg:pub.10.1007/s100510050067
    5 sg:pub.10.1023/a:1026485807148
    6 sg:pub.10.1038/30918
    7 https://doi.org/10.1016/s0925-2312(01)00378-2
    8 https://doi.org/10.1017/cbo9780511622793
    9 https://doi.org/10.1017/cbo9780511623257
    10 https://doi.org/10.1088/0305-4470/36/37/302
    11 https://doi.org/10.1088/0305-4470/37/7/006
    12 https://doi.org/10.1103/physreve.64.056135
    13 https://doi.org/10.1103/physreve.65.041908
    14 https://doi.org/10.1103/physreve.65.066110
    15 https://doi.org/10.1103/physreve.67.026125
    16 https://doi.org/10.1103/physreve.68.047102
    17 https://doi.org/10.1103/physrevlett.86.2909
    18 https://doi.org/10.1103/physrevlett.88.048701
    19 https://doi.org/10.1126/science.286.5439.509
    20 https://doi.org/10.1209/0295-5075/4/2/007
    21 https://doi.org/10.1209/epl/i2002-00670-x
    22 schema:datePublished 2004-04
    23 schema:datePublishedReg 2004-04-01
    24 schema:description We study a model of associative memory based on a neural network with small-world structure. The efficacy of the network to retrieve one of the stored patterns exhibits a phase transition at a finite value of the disorder. The more ordered networks are unable to recover the patterns, and are always attracted to non-symmetric mixture states. Besides, for a range of the number of stored patterns, the efficacy has a maximum at an intermediate value of the disorder. We also give a statistical characterization of the spurious attractors for all values of the disorder of the network.
    25 schema:genre research_article
    26 schema:inLanguage en
    27 schema:isAccessibleForFree true
    28 schema:isPartOf Naef339cb2b834d05a584a54f5e68d76b
    29 Nba38f992abe74cceb50ed042cb7469bd
    30 sg:journal.1129956
    31 schema:name Associative memory on a small-world neural network
    32 schema:pagination 495-500
    33 schema:productId N22f12524965c4399be65e1478c7a948c
    34 N77e9e1e1f8e048eb8f1eda787d44882f
    35 Na8791d9a9db74fedbf26775acc25e9cf
    36 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025204659
    37 https://doi.org/10.1140/epjb/e2004-00144-7
    38 schema:sdDatePublished 2019-04-11T01:57
    39 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    40 schema:sdPublisher N626286c38165440484cc27a718163195
    41 schema:url http://link.springer.com/10.1140/epjb/e2004-00144-7
    42 sgo:license sg:explorer/license/
    43 sgo:sdDataset articles
    44 rdf:type schema:ScholarlyArticle
    45 N22f12524965c4399be65e1478c7a948c schema:name dimensions_id
    46 schema:value pub.1025204659
    47 rdf:type schema:PropertyValue
    48 N493259f75fd742f798db9778d0cb4605 rdf:first sg:person.01077711314.36
    49 rdf:rest rdf:nil
    50 N626286c38165440484cc27a718163195 schema:name Springer Nature - SN SciGraph project
    51 rdf:type schema:Organization
    52 N77e9e1e1f8e048eb8f1eda787d44882f schema:name doi
    53 schema:value 10.1140/epjb/e2004-00144-7
    54 rdf:type schema:PropertyValue
    55 N8b8d523edfab4cff8c39dcf6c8da2bed rdf:first sg:person.01143510413.81
    56 rdf:rest N493259f75fd742f798db9778d0cb4605
    57 Na8791d9a9db74fedbf26775acc25e9cf schema:name readcube_id
    58 schema:value 78132973e5ce0933dc0136e4d65f82c7f6eb2f79bd19977efdd8aace7a5e5966
    59 rdf:type schema:PropertyValue
    60 Naef339cb2b834d05a584a54f5e68d76b schema:volumeNumber 38
    61 rdf:type schema:PublicationVolume
    62 Nba38f992abe74cceb50ed042cb7469bd schema:issueNumber 3
    63 rdf:type schema:PublicationIssue
    64 Nd17623ce7fa146e797762420763ebbb6 rdf:first sg:person.0757462657.79
    65 rdf:rest N8b8d523edfab4cff8c39dcf6c8da2bed
    66 anzsrc-for:17 schema:inDefinedTermSet anzsrc-for:
    67 schema:name Psychology and Cognitive Sciences
    68 rdf:type schema:DefinedTerm
    69 anzsrc-for:1701 schema:inDefinedTermSet anzsrc-for:
    70 schema:name Psychology
    71 rdf:type schema:DefinedTerm
    72 sg:journal.1129956 schema:issn 1155-4304
    73 1286-4862
    74 schema:name The European Physical Journal B
    75 rdf:type schema:Periodical
    76 sg:person.01077711314.36 schema:affiliation https://www.grid.ac/institutes/grid.418211.f
    77 schema:familyName Kuperman
    78 schema:givenName M. N.
    79 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01077711314.36
    80 rdf:type schema:Person
    81 sg:person.01143510413.81 schema:affiliation https://www.grid.ac/institutes/grid.418211.f
    82 schema:familyName Abramson
    83 schema:givenName G.
    84 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01143510413.81
    85 rdf:type schema:Person
    86 sg:person.0757462657.79 schema:affiliation https://www.grid.ac/institutes/grid.419330.c
    87 schema:familyName Morelli
    88 schema:givenName L. G.
    89 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0757462657.79
    90 rdf:type schema:Person
    91 sg:pub.10.1007/s100510050067 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040647708
    92 https://doi.org/10.1007/s100510050067
    93 rdf:type schema:CreativeWork
    94 sg:pub.10.1023/a:1026485807148 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025139721
    95 https://doi.org/10.1023/a:1026485807148
    96 rdf:type schema:CreativeWork
    97 sg:pub.10.1038/30918 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041985305
    98 https://doi.org/10.1038/30918
    99 rdf:type schema:CreativeWork
    100 https://doi.org/10.1016/s0925-2312(01)00378-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036849987
    101 rdf:type schema:CreativeWork
    102 https://doi.org/10.1017/cbo9780511622793 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098728153
    103 rdf:type schema:CreativeWork
    104 https://doi.org/10.1017/cbo9780511623257 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098664010
    105 rdf:type schema:CreativeWork
    106 https://doi.org/10.1088/0305-4470/36/37/302 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048726129
    107 rdf:type schema:CreativeWork
    108 https://doi.org/10.1088/0305-4470/37/7/006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035518307
    109 rdf:type schema:CreativeWork
    110 https://doi.org/10.1103/physreve.64.056135 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001576924
    111 rdf:type schema:CreativeWork
    112 https://doi.org/10.1103/physreve.65.041908 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017525921
    113 rdf:type schema:CreativeWork
    114 https://doi.org/10.1103/physreve.65.066110 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034653361
    115 rdf:type schema:CreativeWork
    116 https://doi.org/10.1103/physreve.67.026125 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009255259
    117 rdf:type schema:CreativeWork
    118 https://doi.org/10.1103/physreve.68.047102 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040070144
    119 rdf:type schema:CreativeWork
    120 https://doi.org/10.1103/physrevlett.86.2909 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027231543
    121 rdf:type schema:CreativeWork
    122 https://doi.org/10.1103/physrevlett.88.048701 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052492017
    123 rdf:type schema:CreativeWork
    124 https://doi.org/10.1126/science.286.5439.509 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010080128
    125 rdf:type schema:CreativeWork
    126 https://doi.org/10.1209/0295-5075/4/2/007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064230861
    127 rdf:type schema:CreativeWork
    128 https://doi.org/10.1209/epl/i2002-00670-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1022929654
    129 rdf:type schema:CreativeWork
    130 https://www.grid.ac/institutes/grid.418211.f schema:alternateName Bariloche Atomic Centre
    131 schema:name Centro Atómico Bariloche, CONICET and Instituto Balseiro, 8400, S.C. de Bariloche, Argentina
    132 rdf:type schema:Organization
    133 https://www.grid.ac/institutes/grid.419330.c schema:alternateName International Centre for Theoretical Physics
    134 schema:name Abdus Salam International Center for Theoretical Physics, P.O. Box 586, 34100, Trieste, Italy
    135 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...