Differentially Private Publication of Social Graphs at Linear Cost
Identifieur interne : 000376 ( Main/Exploration ); précédent : 000375; suivant : 000377Differentially Private Publication of Social Graphs at Linear Cost
Auteurs : Hiep H. Nguyen [France] ; Abdessamad Imine [France] ; Michaël Rusinowitch [France]Source :
Abstract
The problem of private publication of graph data has attracted a lot of attention recently. The prevalence of differential privacy makes the problem more promising. However, a large body of existing works on differentially private release of graphs have not answered the question about the upper bounds of privacy budgets. In this paper, for the first time, such a bound is provided. We prove that with a privacy budget of O(log n), there exists an algorithm capable of releasing a noisy output graph with edge edit distance of O(1) against the true graph. At the same time, the complexity of our algorithm Top-m Filter is linear in the number of edges m. This lifts the limits of the state-of-the-art, which incur a complexity of O(n^2) where n is the number of nodes and runnable only on graphs having n of tens of thousands.
Url:
Affiliations:
- France
- Franche-Comté, Grand Est, Lorraine (région)
- Belfort, Besançon, Metz, Nancy
- Université de Bourgogne Franche-Comté, Université de Franche-Comté, Université de Lorraine, Université de technologie de Belfort-Montbéliard
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Le document en format XML
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Grand Est</orgName><desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine><country key="FR"></country></address><ref type="url">http://www.inria.fr/nancy</ref></desc><listRelation><relation active="#struct-300009" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-866" type="direct"><org type="laboratory" xml:id="struct-866" status="VALID"><idno type="IdRef">152639071</idno><idno type="RNSR">200412232H</idno><orgName>Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies</orgName><orgName type="acronym">FEMTO-ST</orgName><desc><address><addrLine>32 avenue de l'Observatoire 25044 BESANCON CEDEX</addrLine><country key="FR"></country></address><ref type="url">http://www.femto-st.fr</ref></desc><listRelation><relation active="#struct-242365" type="direct"></relation><relation active="#struct-300261" type="direct"></relation><relation active="#struct-300360" type="direct"></relation><relation name="UMR6174" active="#struct-441569" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-242365" type="indirect"><org type="institution" xml:id="struct-242365" status="VALID"><idno type="IdRef">026403188</idno><idno type="ISNI">0000 0001 2188 3779 </idno><orgName>Université de Franche-Comté</orgName><orgName type="acronym">UFC</orgName><desc><address><country key="FR"></country></address><ref type="url">http://www.univ-fcomte.fr</ref></desc></org></tutelle><tutelle active="#struct-300261" type="indirect"><org type="institution" xml:id="struct-300261" status="VALID"><orgName>Université de Technologie de Belfort-Montbeliard</orgName><orgName type="acronym">UTBM</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300360" type="indirect"><org type="institution" xml:id="struct-300360" status="VALID"><orgName>Ecole Nationale Supérieure de Mécanique et des Microtechniques</orgName><orgName type="acronym">ENSMM</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle name="UMR6174" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</idno><orgName>Centre National de la Recherche Scientifique</orgName><orgName type="acronym">CNRS</orgName><date type="start">1939-10-19</date><desc><address><country key="FR"></country></address><ref type="url">http://www.cnrs.fr/</ref></desc></org></tutelle></tutelles></hal:affiliation><country>France</country><placeName><settlement type="city">Nancy</settlement><settlement type="city">Metz</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Université de Lorraine</orgName><placeName><settlement type="city" wicri:auto="siege">Besançon</settlement><region type="region" nuts="2">Franche-Comté</region></placeName><orgName type="university">Université de Franche-Comté</orgName><orgName type="institution" wicri:auto="newGroup">Université de Bourgogne Franche-Comté</orgName><placeName><settlement type="city" wicri:auto="siege">Belfort</settlement><region type="region" nuts="2">Franche-Comté</region></placeName><orgName type="university">Université de technologie de Belfort-Montbéliard</orgName></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The problem of private publication of graph data has attracted a lot of attention recently. The prevalence of differential privacy makes the problem more promising. However, a large body of existing works on differentially private release of graphs have not answered the question about the upper bounds of privacy budgets. In this paper, for the first time, such a bound is provided. We prove that with a privacy budget of O(log n), there exists an algorithm capable of releasing a noisy output graph with edge edit distance of O(1) against the true graph. At the same time, the complexity of our algorithm Top-m Filter is linear in the number of edges m. This lifts the limits of the state-of-the-art, which incur a complexity of O(n^2) where n is the number of nodes and runnable only on graphs having n of tens of thousands.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Franche-Comté</li><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Belfort</li><li>Besançon</li><li>Metz</li><li>Nancy</li></settlement><orgName><li>Université de Bourgogne Franche-Comté</li><li>Université de Franche-Comté</li><li>Université de Lorraine</li><li>Université de technologie de Belfort-Montbéliard</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Nguyen, Hiep H" sort="Nguyen, Hiep H" uniqKey="Nguyen H" first="Hiep H." last="Nguyen">Hiep H. Nguyen</name></region><name sortKey="Imine, Abdessamad" sort="Imine, Abdessamad" uniqKey="Imine A" first="Abdessamad" last="Imine">Abdessamad Imine</name><name sortKey="Rusinowitch, Michael" sort="Rusinowitch, Michael" uniqKey="Rusinowitch M" first="Michaël" last="Rusinowitch">Michaël Rusinowitch</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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