%%%%%%%%%%%%%%%%%%%%%%%%%%%% UNPUBLISHED %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@unpublished{BGHS16,
  title  = {Coupling proofs are probabilistic product programs},
  author = {Barthe, Gilles and
            Gr{\'e}goire, Benjamin and
            Hsu, Justin and
            Strub, {P}ierre-{Y}ves},
  year   = 2016,
  jh     = yes,
  eprint = yes,
  url    = {http://arxiv.org/abs/1607.03455}
}

@unpublished{BEGGHS16,
  title  = {Formal certification of randomized algorithms},
  author = {Barthe, Gilles and
            Espitau, Thomas and
            Gaboardi, Marco and
            Gr{\'e}goire, Benjamin and
            Hsu, Justin and
            Strub, {P}ierre-{Y}ves},
  year   = 2016,
  jh     = yes,
  docs   = yes
}

@unpublished{ACGHK16,
  title  = {A semantic account of metric preservation},
  author = {de Amorim, Arthur Azevedo and
            Cherigui, Ikram and
            Gaboardi, Marco and
            Hsu, Justin and
            Katsumata, {Shin-ya}},
  year   = 2016,
  jh     = yes,
  docs   = yes
}

@unpublished{BGGHS16c,
  title  = {Advanced Probabilistic Couplings for Differential Privacy},
  author = {Barthe, Gilles and
            Gaboardi, Marco and
            Gr{\'e}goire, Benjamin and
            Hsu, Justin and
            Strub, {P}ierre-{Y}ves},
  year    = 2016,
  jh      = yes,
  eprint  = yes,
  url     = {https://arxiv.org/abs/1606.07143},
}

@unpublished{privinfer,
  title  = {Differentially private {B}ayesian programming},
  author = {Barthe, Gilles and
            Farina, Gian Pietro and
            Gaboardi, Marco and
            Gallego Arias, Emilio Jes{\'u}s and
            Gordon, Andy and
            Hsu, Justin and
            Strub, Pierre-Yves},
  year   = {2016},
  url    = {https://arxiv.org/abs/1605.00283},
  jh     = yes,
  eprint = yes,
}

@unpublished{HKM-verif16,
  title  = {Computer-aided verification in mechanism design},
  author = {Barthe, Gilles and
            Gaboardi, Marco and
            Gallego Arias, Emilio Jes{\'u}s and
            Hsu, Justin and
            Roth, Aaron and
            Strub, Pierre-Yves},
  year   = {2016},
  url    = {http://arxiv.org/abs/1502.04052},
  jh     = yes,
  eprint = yes
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%% CONFERENCES %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@inproceedings{BEFFH16,
  title  = {Synthesizing probabilistic invariants via {D}oob's decomposition},
  author = {Barthe, Gilles and
            Espitau, Thomas and
            Ferrer Fioriti, Luis Mar{\'i}a and
            Hsu, Justin},
  booktitle = cav16,
  year    = 2016,
  jh      = yes,
  eprint  = yes,
  url     = {https://arxiv.org/abs/1605.02765},
  note    = {To appear.}
}

@inproceedings{BGGHS16b,
  title  = {A program logic for union bounds},
  author = {Barthe, Gilles and
            Gaboardi, Marco and
            Gr{\'e}goire, Benjamin and
            Hsu, Justin and
            Strub, {P}ierre-{Y}ves},
  booktitle = icalp16,
  year    = 2016,
  jh      = yes,
  eprint  = yes,
  url     = {http://arxiv.org/abs/1602.05681}
}

@inproceedings{BGGHS16,
  title  = {Proving differential privacy via probabilistic couplings},
  author = {Barthe, Gilles and
            Gaboardi, Marco and
            Gr{\'e}goire, Benjamin and
            Hsu, Justin and
            Strub, {P}ierre-{Y}ves},
  booktitle = lics16,
  year    = 2016,
  url     = {http://arxiv.org/abs/1601.05047},
  jh      = yes,
  eprint  = yes,
  slides  = yes
}

@inproceedings{HMRRV16,
  title  = {Do prices coordinate markets?},
  author = {Hsu, Justin and
            Morgenstern, Jamie and
            Rogers, Ryan and
            Roth, Aaron and
            Vohra, Rakesh},
  booktitle = stoc16,
  year    = 2016,
  url     = {http://arxiv.org/abs/1511.00925},
  jh      = yes,
  eprint  = yes,
}

@inproceedings{HHRW16,
  author    = {Hsu, Justin and
               Huang, Zhiyi and
               Roth, Aaron and
               Wu, Zhiwei Steven},
  title     = {Jointly private convex programming},
  booktitle = soda16,
  year      = {2016},
  url       = {http://arxiv.org/abs/1411.0998},
  jh        = yes,
  eprint    = yes,
  slides    = yes,
}

@inproceedings{BEGHSS15,
  title     = {Relational reasoning via probabilistic coupling},
  author    = {Barthe, Gilles and
               Espitau, Thomas and
               Gr{\'e}goire, Benjamin and
               Hsu, Justin and
               Stefanesco, L{\'e}o and
               Strub, {P}ierre-{Y}ves},
  booktitle = lpar15,
  year      = 2015,
  jh        = yes,
  slides    = yes,
  eprint    = yes,
  volume    = {9450},
  pages     = {387--401},
  url       = {http://arxiv.org/abs/1509.03476},
}

@inproceedings{AHJ15,
  title     = {Online assignment with heterogeneous tasks in crowdsourcing
    markets},
  author    = {Assadi, Sepehr and Hsu, Justin and Jabbari, Shahin},
  year      = {2015},
  booktitle = hcomp15,
  url       = {http://arxiv.org/abs/1508.03593},
  jh        = yes,
  eprint    = yes,
}

@inproceedings{HsuTaxes,
  author    = {Justin Hsu},
  title     = {Death, taxes, and formal verification (Abstract)},
  year      = {2015},
  booktitle = snapl15,
  jh        = yes,
  slides    = yes,
  docs      = yes
}

@inproceedings{GHaccuracy,
  author    = {Marco Gaboardi and
               Justin Hsu},
  title     = {A Theory {AB} toolbox},
  year      = {2015},
  booktitle = snapl15,
  jh        = yes,
  slides    = yes,
  docs      = yes
}

@inproceedings{BGGHRS15,
  title     = {Higher-order approximate relational refinement types for
    mechanism design and differential privacy},
  author    = {Barthe, Gilles and
               Gaboardi, Marco and
               Gallego Arias, Emilio Jes{\'u}s and
               Hsu, Justin and
               Roth, Aaron and
               Strub, Pierre-Yves},
  booktitle = popl15,
  year      = {2015},
  url       = {http://arxiv.org/abs/1407.6845},
  jh        = yes,
  slides    = yes,
  eprint    = yes
}

@inproceedings{AGGH14,
  author    = {de Amorim, Arthur Azevedo and
               Gaboardi, Marco and
               Gallego Arias, Emilio Jes{\'u}s and
               Hsu, Justin},
  title     = {Really naturally linear indexed type-checking},
  booktitle = {Symposium on Implementation and Application of Functional
    Programming Languages (IFL), Boston, Massachusetts},
  year      = {2014},
  url       = {http://arxiv.org/abs/1503.04522},
  jh        = yes,
  slides    = yes,
  eprint    = yes
}

@inproceedings{BGGHKS14,
  author    = {Barthe, Gilles and
               Gaboardi, Marco and
               Gallego Arias, Emilio Jes{\'u}s and
               Hsu, Justin and
               Kunz, C\'esar and
               Strub, Pierre-Yves},
  title     = {Proving differential privacy in {H}oare logic},
  booktitle = csf14,
  year      = {2014},
  url       = {http://arxiv.org/abs/1407.2988},
  jh        = yes,
  eprint    = yes
}

@inproceedings{HGH14,
  author    = {Hsu, Justin and
               Gaboardi, Marco and
               Haeberlen, Andreas and
               Khanna, Sanjeev and
               Narayan, Arjun and
               Pierce, Benjamin C and
               Roth, Aaron},
  title     = {Differential privacy: An economic method for choosing epsilon},
  booktitle = csf14,
  year      = 2014,
  url       = {http://arxiv.org/abs/1402.3329},
  jh        = yes,
  slides    = yes,
  eprint    = yes
}

@inproceedings{HRRU14,
  author    = {Hsu, Justin and
               Roth, Aaron and
               Roughgarden, Tim and
               Ullman, Jonathan},
  title     = {Privately solving linear programs},
  booktitle = icalp14,
  year      = {2014},
  pages     = {612--624},
  url       = {http://arxiv.org/abs/1402.3631},
  timestamp = {Fri, 31 Oct 2014 14:45:31 +0100},
  biburl    = {http://dblp.uni-trier.de/rec/bib/conf/icalp/HsuRRU14},
  bibsource = {dblp computer science bibliography, http://dblp.org},
  jh        = yes,
  slides    = yes,
  eprint    = yes
}

@inproceedings{GGHRW14,
  author    = {Gaboardi, Marco and
               Gallego Arias, Emilio Jes{\'u}s and
               Hsu, Justin and
               Roth, Aaron and
               Wu, Zhiwei Steven},
  title     = {Dual Query: Practical private query release for high dimensional data},
  booktitle = icml14,
  year      = {2014},
  url       = {http://arxiv.org/abs/1402.1526},
  jh        = yes,
  slides    = yes,
  poster    = yes,
  eprint    = yes
}

@inproceedings{HHRRW14,
  author    = {Hsu, Justin and
               Huang, Zhiyi and
               Roth, Aaron and
               Roughgarden, Tim and
               Wu, Zhiwei Steven},
  title     = {Private matchings and allocations},
  booktitle = stoc14,
  year      = {2014},
  pages     = {21--30},
  url       = {http://arxiv.org/abs/1311.2828},
  timestamp = {Wed, 22 Oct 2014 14:44:14 +0200},
  biburl    = {http://dblp.uni-trier.de/rec/bib/conf/stoc/HsuHRRW14},
  bibsource = {dblp computer science bibliography, http://dblp.org},
  jh        = yes,
  poster    = yes,
  eprint    = yes
}

@inproceedings{WHE13,
  title     = {Towards dependently typed {H}askell: {S}ystem {FC} with kind equality},
  author    = {Weirich, Stephanie and
               Hsu, Justin and
               Eisenberg, Richard A},
  booktitle = icfp13,
  url       = {http://www.cis.upenn.edu/~justhsu/docs/nokinds.pdf},
  volume    = {13},
  year      = {2013},
  jh        = yes,
  docs      = yes
}

@inproceedings{HRU13,
  title     = {Differential privacy for the analyst via private equilibrium computation},
  author    = {Hsu, Justin and
               Roth, Aaron and
               Ullman, Jonathon},
  url       = {http://arxiv.org/abs/1211.0877},
  booktitle = stoc13,
  pages     = {341--350},
  year      = {2013},
  jh        = yes,
  slides    = yes,
  eprint    = yes
}

@inproceedings{GGHHP13,
  title     = {Automatic sensitivity analysis using linear dependent types},
  author    = {Gaboardi, Marco and
               Gallego Arias, Emilio Jes{\'u}s and
               Haeberlen, Andreas and
               Hsu, Justin and
               Pierce, Benjamin C},
  url       = {http://fopara2013.cs.unibo.it/paper_8.pdf},
  booktitle = fopara,
  year      = {2013},
  jh        = yes
}

@inproceedings{GHHNP13,
  title     = {Linear dependent types for differential privacy},
  author    = {Gaboardi, Marco and
               Haeberlen, Andreas and
               Hsu, Justin and
               Narayan, Arjun and
               Pierce, Benjamin C},
  booktitle = popl13,
  pages     = {357--370},
  url       = {http://dl.acm.org/citation.cfm?id=2429113},
  year      = {2013},
  jh        = yes,
  docs      = yes
}

@inproceedings{HKR12,
  title     = {Distributed private heavy hitters},
  author    = {Hsu, Justin and
               Khanna, Sanjeev and
               Roth, Aaron},
  booktitle = icalp12,
  pages     = {461--472},
  year      = {2012},
  publisher = springer,
  url       = {http://arxiv.org/abs/1202.4910},
  note      = {Thanks to Raef Bassily and Adam Smith for spotting an error, now
               fixed.},
  jh        = yes,
  slides    = yes,
  eprint    = yes
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% JOURNALS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article{Murawski:2016:2893582,
	title      = {Programming language techniques for differential privacy},
	author     = {Barthe, Gilles and
                Gaboardi, Marco and
                Hsu, Justin and
                Pierce, Benjamin C},
	pages      = {34--53},
	editor     = {Murawski, Andrzej},
	journal    = {ACM SIGLOG News},
  month      = jan,
	year       = {2016},
	volume     = {3},
	number     = {1},
	publisher  = {ACM},
	address    = {New York, NY, USA},
	url        = {http://siglog.hosting.acm.org/wp-content/uploads/2016/01/siglog_news_7.pdf},
	jh         = yes,
	eprint     = yes
} 


@article{job-matching,
  title   = {Job Matching, Coalition Formation, and Gross Substitutes},
  volume  = {50},
  number  = {6},
  urldate = {2013--07--07},
  journal = {Econometrica},
  author  = {Kelso, Alexander and Crawford, Vincent},
  year    = {1982},
  pages   = {1483--1504},
  url     = {http://EconPapers.repec.org/RePEc:ecm:emetrp:v:50:y:1982:i:6:p:1483-1504}
}                  
@article{CSS10,
  title   = {Private and continual release of statistics},
  volume  = {14},
  url     = {http://eprint.iacr.org/2010/076.pdf},
  number  = {3},
  urldate = {2013--06--23},
  journal = tissec,
  author  = {Chan, T.-H. Hubert and Shi, Elaine and Song, Dawn},
  year    = {2011},
  pages   = {26},
}

@inproceedings{DNPR10,
  title     = {Differential privacy under continual observation},
  author    = {Dwork, Cynthia and Naor, Moni and Pitassi, Toniann and Rothblum, Guy N.},
  url       = {http://www.mit.edu/~rothblum/papers/continalobs.pdf},
  booktitle = stoc10,
  pages     = {715--724},
  year      = {2010},
}

@inproceedings{DNV12,
  title     = {The privacy of the analyst and the power of the state},
  author    = {Dwork, Cynthia and Naor, Moni and Vadhan, Salil},
  booktitle = focs12,
  pages     = {400--409},
  url       = {http://projects.iq.harvard.edu/files/privacytools/files/06375318.pdf},
  year      = {2012}
}

@article{PR13,
  title   = {Privacy and Mechanism Design},
  author  = {Pai, Mallesh and Roth, Aaron},
  url     = {http://arxiv.org/abs/1306.2083},
  journal = sigecom,
  year    = {2013}
}

@inproceedings{NRS07,
  title     = {Smooth sensitivity and sampling in private data analysis},
  url       = {http://www.cse.psu.edu/~asmith/pubs/NRS07/NRS07-full-draft-v1.pdf},
  author    = {Nissim, Kobbi and Raskhodnikova, Sofya and Smith, Adam},
  booktitle = stoc07,
  pages     = {75--84},
  year      = {2007},
}

@inproceedings{RR14,
  title     = {Asymptotically truthful equilibrium selection in large congestion games},
  author    = {Rogers, Ryan M and Roth, Aaron},
  booktitle = ec14,
  pages     = {771--782},
  year      = {2014},
  url       = {http://arxiv.org/abs/1311.2625}
}

@inproceedings{GLMRT10,
  title     = {Differentially private combinatorial optimization},
  url       = {http://arxiv.org/abs/0903.4510},
  author    = {Gupta, Anupam and Ligett, Katrina and Mc{S}herry, Frank and Roth,
    Aaron and Talwar, Kunal},
  booktitle = soda10,
  pages     = {1106--1125},
  year      = {2010},
}

@article{GS99,
  title     = {Walrasian equilibrium with gross substitutes},
  author    = {Gul, Faruk and Stacchetti, Ennio},
  url       = {http://www.princeton.edu/~fgul/walras.pdf},
  journal   = jet,
  volume    = {87},
  number    = {1},
  pages     = {95--124},
  year      = {1999},
  publisher = elsevier
}

@article{BLR08,
  title   = {A learning theory approach to noninteractive database privacy},
  author  = {Blum, Avrim and Ligett, Katrina and Roth, Aaron},
  journal = jacm,
  url     = {http://arxiv.org/abs/1109.2229},
  volume  = {60},
  number  = {2},
  pages   = {12},
  year    = {2013},
}

@inproceedings{HR10,
  title     = {A multiplicative weights mechanism for privacy-preserving data analysis},
  author    = {Hardt, Moritz and Rothblum, Guy N},
  url       = {http://www.mit.edu/~rothblum/papers/pmw.pdf},
  booktitle = focs10,
  pages     = {61--70},
  year      = {2010},
}

@inproceedings{DN03,
  title     = {Revealing information while preserving privacy},
  author    = {Dinur, Irit and Nissim, Kobbi},
  url       = {http://www.cse.psu.edu/~asmith/privacy598/papers/dn03.pdf},
  booktitle = pods03,
  pages     = {202--210},
  year      = {2003},
}

@article{DR14,
  author    = {Cynthia Dwork and
               Aaron Roth},
  title     = {The Algorithmic Foundations of Differential Privacy},
  journal   = {Foundations and Trends in Theoretical Computer Science},
  year      = {2014},
  volume    = {9},
  number    = {3--4},
  pages     = {211--407},
  url       = {http://dx.doi.org/10.1561/0400000042},
  timestamp = {Tue, 28 Oct 2014 14:00:24 +0100},
  biburl    = {http://dblp.uni-trier.de/rec/bib/journals/fttcs/DworkR14},
  bibsource = {dblp computer science bibliography, http://dblp.org}
}
@inproceedings{KPRU14,
  title     = {Mechanism Design in Large Games: Incentives and Privacy},
  url       = {http://arxiv.org/abs/1207.4084},
  author    = {Kearns, Michael and Pai, Mallesh and Roth, Aaron and Ullman, Jonathan},
  pages     = {403--410},
  booktitle = itcs14,
  year      = {2014}
}

@inproceedings{DRV10,
	title     = {Boosting and differential privacy},
	url       = {http://research.microsoft.com/pubs/155170/dworkrv10.pdf},
	booktitle = focs10,
	author    = {Dwork, Cynthia and Rothblum, Guy N. and Vadhan, Salil},
	year      = {2010},
	keywords  = {Algorithms, {CS}, {DP}, Learning Theory},
	pages     = {51-–60},
}

@inproceedings{FPT04,
  title     = {The complexity of pure Nash equilibria},
  author    = {Fabrikant, Alex and Papadimitriou, Christos and Talwar, Kunal},
  url       = {http://research.microsoft.com/pubs/74349/pub10-pure.pdf},
  booktitle = stoc04,
  pages     = {604--612},
  year      = {2004},
}

@article{MS96,
  title     = {Potential games},
  author    = {Monderer, Dov and Shapley, Lloyd S.},
  journal   = geb,
  url       = {http://www.cs.bu.edu/~steng/teaching/Fall2008/potential.pdf},
  volume    = {14},
  number    = {1},
  pages     = {124--143},
  year      = {1996},
  publisher = {Elsevier}
}

@inproceedings{CK05,
  title     = {The price of anarchy of finite congestion games},
  author    = {Christodoulou, George and Koutsoupias, Elias},
  url       = {http://dl.acm.org/citation.cfm?id=1060600},
  booktitle = stoc05,
  pages     = {67--73},
  year      = {2005},
}

@inproceedings{AAE05,
  title     = {The price of routing unsplittable flow},
  author    = {Awerbuch, Baruch and Azar, Yossi and Epstein, Amir},
  booktitle = stoc05,
  url       = {http://dl.acm.org/citation.cfm?id=1060599},
  pages     = {57--66},
  year      = {2005},
}

@inproceedings{Rou09,
  title     = {Intrinsic robustness of the price of anarchy},
  author    = {Roughgarden, Tim},
  url       = {http://theory.stanford.edu/~tim/papers/robust.pdf},
  booktitle = stoc09,
  pages     = {513--522},
  year      = {2009},
}

@inproceedings{BHLR08,
  title     = {Regret minimization and the price of total anarchy},
  author    = {Blum, Avrim and Haji{A}ghayi, Mohammad{T}aghi and Ligett, Katrina
    and Roth, Aaron},
  url       = {http://dl.acm.org/citation.cfm?id=1374430},
  booktitle = stoc08,
  pages     = {373--382},
  year      = {2008},
}

@inproceedings{HLM12,
  title     = {A Simple and Practical Algorithm for Differentially Private Data Release},
  author    = {Moritz Hardt and Katrina Ligett and Frank {McSherry}},
  booktitle = nips12,
  pages     = {2348--2356},
  url       = {http://arxiv.org/abs/1012.4763},
  year      = 2012
}

@inproceedings{Ullman13,
  title     = {Answering $n^{2+ o(1)}$ counting queries with differential
    privacy is hard},
  author    = {Ullman, Jonathan},
  booktitle = stoc13,
  pages     = {361--370},
  url       = {http://arxiv.org/abs/1207.6945},
  year      = 2013
}
@inproceedings{MT07,
  author    = {Frank McSherry and
               Kunal Talwar},
  title     = {Mechanism Design via Differential Privacy},
  booktitle = focs07,
  pages     = {94--103},
  url       = {http://doi.ieeecomputersociety.org/10.1109/FOCS.2007.41},
  year      = 2007
}

@inproceedings{FS96,
  title     = {Game theory, on-line prediction and boosting},
  author    = {Freund, Y. and Schapire, R.E.},
  booktitle = colt96,
  pages     = {325--332},
  url       = {http://dl.acm.org/citation.cfm?id=238163 },
  year      = 1996
}

@inproceedings{BDMN05,
  title     = {Practical privacy: the {SuLQ} framework},
  author    = {Avrim Blum and
               Cynthia Dwork and
               Frank Mc{S}herry and
               Kobbi Nissim},
  booktitle = pods05,
  pages     = {128--138},
  url       = {http://research.microsoft.com/pubs/64351/bdmn.pdf},
  year      = 2005
}

@inproceedings{GRU12,
  title     = {Iterative constructions and private data release},
  author    = {Gupta, Anupam and Roth, Aaron and Jonathan Ullman},
  booktitle = tcc12,
  pages     = {339--356},
  url       = {http://arxiv.org/abs/1107.3731},
  year      = 2012
}

@inproceedings{airavat,
  author       = {Indrajit Roy and Srinath Setty and Ann Kilzer and Vitaly
    Shmatikov and Emmett Witchel},
  title        = {Airavat: Security and Privacy for {MapReduce}},
  booktitle    = nsdi10,
  url          = {http://dl.acm.org/citation.cfm?id=1855731 },
  year         = 2010
}

@inproceedings{pinq,
  author       = {{McSherry}, Frank},
  booktitle    = sigmod09,
  title        = {Privacy integrated queries},
  url          = {http://research.microsoft.com/pubs/80218/sigmod115-mcsherry.pdf},
  year         = 2009
}

@inproceedings{zhang-2011-privatemining,
  author       = {Zhang, Ning and Li, Ming and Lou, Wenjing},
  title        = {Distributed Data Mining with Differential Privacy},
  booktitle    = icc11,
  url          = {http://dl.acm.org/citation.cfm?id=1835868},
  year         = 2011
}

@inproceedings{evfimievski-2002-associationrules,
 author        = {Evfimievski, Alexandre and
                  Srikant, Ramakrishnan and
                  Agrawal, Rakesh and
                  Gehrke, Johannes},
 title         = {Privacy preserving mining of association rules},
 booktitle     = kdd02,
 url           = {http://www.cs.cornell.edu/johannes/papers/2002/kdd2002-privacy.pdf},
 year          = 2002
} 

@inproceedings{t-closeness,
  author       = {Ninghui Li and Tiancheng Li and Suresh Venkatasubramanian},
  title        = {$t$-{C}loseness: {P}rivacy beyond $k$-anonymity and $l$-diversity},
  booktitle    = icde07,
  url          = {https://www.cs.purdue.edu/homes/ninghui/papers/t_closeness_icde07.pdf},
  year         = 2007
}

@article{k-anonymity,
 author        = {Sweeney, Latanya},
 title         = {$k$-{A}nonymity: {A} model for protecting privacy},
 journal       = jufks,
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} 

@article{aol,
  author       = {Michael Barbaro and Tom Zeller},
  title        = {A Face Is Exposed for {AOL} Searcher {N}o. 4417749},
  journal      = {The New York Times},
  day          = 9,
  month        = aug,
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@inproceedings{NV08,
  author       = {Arvind Narayanan and
               Vitaly Shmatikov},
  title        = {Robust De-anonymization of Large Sparse Datasets},
  booktitle    = sp08,
  year         = {2008},
  pages        = {111--125},
  url          = {http://arxiv.org/abs/cs/0610105}
}

@inproceedings{BLST10,
  author       = {Raghav Bhaskar and
                  Srivatsan Laxman and
                  Adam Smith and
                  Abhradeep Thakurta},
  title        = {Discovering frequent patterns in sensitive data},
  booktitle    = kdd10,
  pages        = {503--512},
  year         = 2010,
  url          = {http://dl.acm.org/citation.cfm?id=1835869}
}

@inproceedings{CM08,
  author       = {Kamalika Chaudhuri and Claire Monteleoni},
  title        = {Privacy-preserving logistic regression},
  booktitle    = nips08,
  pages        = {289--296},
  year         = 2008,
  url          = {http://books.nips.cc/papers/files/nips21/NIPS2008_0964.pdf}
}

@article{CH11,
  title        = {Sample Complexity Bounds for Differentially Private Learning},
  author       = {Chaudhuri, Kamalika and Hsu, Daniel},
  journal      = jmlr,
  volume       = {19},
  pages        = {155--186},
  url          = {http://jmlr.org/proceedings/papers/v19/chaudhuri11a/chaudhuri11a.pdf},
  year         = {2011}
}

@article{certipriv,
  author       = {Barthe, Gilles and
                  K{\"{o}}pf, Boris and
                  Olmedo, Federico and
                  Zanella{-}B{\'{e}}guelin, Santiago},
  title        = {Probabilistic Relational Reasoning for Differential Privacy},
  journal      = toplas,
  volume       = {35},
  number       = {3},
  pages        = {9},
  year         = {2013},
  url          = {http://software.imdea.org/~bkoepf/papers/toplas13.pdf},
}

@inproceedings{ReedPierce10,
  author       = {Jason Reed and Benjamin C Pierce},
  title        = {Distance Makes the Types Grow Stronger: {A} Calculus for
    Differential Privacy},
  booktitle    = icfp10,
  year         = 2010,
  url          = {http://dl.acm.org/citation.cfm?id=1863568}
}

@inproceedings{winq,
  title        = {A workflow for differentially-private graph synthesis},
  author       = {Proserpio, Davide and Goldberg, Sharon and {McSherry}, Frank},
  booktitle    = wosn12,
  year         = 2012,
  pages        = {13--18},
  url          = {http://arxiv.org/abs/1203.3453}
}

@article{KLNRS08,
  title        = {What can we learn privately?},
  author       = {Kasiviswanathan, Shiva Prasad and Lee, Homin K. and Nissim, Kobbi
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  journal      = siamjc,
  volume       = {40},
  number       = {3},
  pages        = {793--826},
  year         = {2011},
  url          = {http://arxiv.org/abs/0803.0924},
  publisher    = {SIAM}
}

@inproceedings{UV11,
  title        = {{PCPs} and the hardness of generating private synthetic data},
  author       = {Ullman, Jonathan and Vadhan, Salil},
  booktitle    = tcc11,
  pages        = {400--416},
  url          = {http://eccc.hpi-web.de/report/2010/017/revision/2/download},
  year         = {2011}
}

@inproceedings{DNRRV09,
  title        = {On the complexity of differentially private data release: efficient
    algorithms and hardness results},
  author       = {Cynthia Dwork and
                  Moni Naor and
                  Omer Reingold and
                  Guy N. Rothblum and
                  Salil P. Vadhan},
  booktitle    = stoc09,
  pages        = {381--390},
  year         = {2009},
  url          = {http://dl.acm.org/citation.cfm?id=1536467}
}

@article{AHK12,
  title        = {The Multiplicative Weights Update Method: a Meta-Algorithm and
    Applications},
  author       = {Arora, Sanjeev and Hazan, Elad and Kale, Satyen},
  journal      = toc,
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  pages        = {121--164},
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  year         = {2012}
}

@phdthesis{Garg13,
  title        = {Candidate Multilinear Maps},
  author       = {Sanjam Garg},
  school       = {{UCLA}},
  year         = {2013},
  url          = {http://www.cs.ucla.edu/~sanjamg/Sanjam%20Garg_files/sanjam-thesis.pdf}
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@inproceedings{GargGentryHalevi13,
  title        = {Candidate multilinear maps from ideal lattices},
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  year         = {2013},
  url          = {http://http://eprint.iacr.org/2012/610.pdf}
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@article{BonehSilverberg03,
  title        = {Applications of multilinear forms to cryptography},
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@inproceedings{barak2007privacy,
  title        = {Privacy, accuracy, and consistency too: a holistic solution to
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@inproceedings{BNS13,
  title        = {Characterizing the sample complexity of private learners},
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  year         = {2013},
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@article{CMS11,
  title        = {Differentially private empirical risk minimization},
  author       = {Chaudhuri, Kamalika and Monteleoni, Claire and Sarwate, Anand D.},
  journal      = jmlr,
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  pages        = {1069--1109},
  year         = {2011},
  url          = {http://jmlr.org/papers/volume12/chaudhuri11a/chaudhuri11a.pdf}
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@article{RBHT09,
  title        = {Learning in a Large Function Space: Privacy-Preserving Mechanisms
    for {SVM} Learning},
  author       = {Rubinstein, Benjamin I. P. and Bartlett, Peter L. and Huang, Ling
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  journal      = jpc,
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  year         = {2012},
  url          = {http://repository.cmu.edu/cgi/viewcontent.cgi?article = 1065&context = jpc}
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@article{KST12,
  title        = {Private convex empirical risk minimization and high-dimensional regression},
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  pages        = {41},
  year         = {2012},
  url          = {http://jmlr.org/proceedings/papers/v23/kifer12/kifer12.pdf}
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@inproceedings{CSS12,
  title        = {Near-optimal differentially private principal components},
  author       = {Chaudhuri, Kamalika and Sarwate, Anand and Sinha, Kaushik},
  booktitle    = nips12,
  pages        = {998--1006},
  url          = {http://books.nips.cc/papers/files/nips25/NIPS2012_0482.pdf},
  year         = {2012}
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@inproceedings{DJW13,
  title        = {Local privacy and statistical minimax rates},
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  year         = {2013}
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@inproceedings{TS13,
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  pages        = {2733--2741},
  url          = {http://media.nips.cc/nipsbooks/nipspapers/paper_files/nips26/1270.pdf},
  year         = {2013}
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@inproceedings{RR10,
  author       = {Aaron Roth and
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  pages        = {765--774},
  url          = {http://arxiv.org/abs/0911.1813},
  year         = 2010
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@inproceedings{GHRU11,
  title        = {Privately releasing conjunctions and the statistical query barrier},
  author       = {Gupta, Anupam and Hardt, Moritz and Roth, Aaron and Ullman, Jonathan},
  booktitle    = stoc11,
  pages        = {803--812},
  url          = {http://arxiv.org/abs/1011.1296},
  year         = {2011}
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@inproceedings{TS13a,
  title        = {Differentially Private Feature Selection via Stability Arguments,
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  booktitle    = colt13,
  pages        = {819--850},
  url          = {http://jmlr.org/proceedings/papers/v30/Guha13.pdf},
  year         = {2013}
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@inproceedings{DL09,
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  booktitle    = stoc09,
  pages        = {371--380},
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  url          = {http://research.microsoft.com/pubs/80239/dl09.pdf},
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@article{LW94,
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@inproceedings{CHRMM10,
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  year         = {2010},
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@inproceedings{LM12,
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@inproceedings{CPSY12,
  author       = {Grigory Yaroslavtsev and
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  booktitle    = icde13,
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@inproceedings{CV13,
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@article{HW01,
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@inproceedings{DworkSurvey,
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@inproceedings{NS-social,
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  year      = {2009}
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@inproceedings{DNT14,
  title     = {Using Convex Relaxations for Efficiently and Privately Releasing
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  pages     = {261},
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@inproceedings{TUV12,
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@article{GHRU13,
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@inproceedings{NR99,
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@article{BBHM08,
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@book{McIver:2005,
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@inproceedings{Borgstrom:2011,
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@inproceedings{Sampson+14,
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    author  = {Giry, Mich\`{e}le},
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@inproceedings{fstar,
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@inproceedings{liquid,
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               Gr{\'e}goire, Benjamin and
               Strub, {P}ierre-{Y}ves and
               Swamy, Nikhil and
               Zanella{-}B{\'e}guelin, Santiago},
  booktitle = popl14,
  pages     = {193--206},
  year      = {2014},
  url       = {http://research.microsoft.com/en-us/um/people/nswamy/papers/rfstar.pdf}
}

@INPROCEEDINGS{polymonad,
  TITLE     = {Polymonadic Programming},
  AUTHOR    = {Michael Hicks and Gavin Bierman and Nataliya Guts and Daan Leijen and Nikhil Swamy},
  BOOKTITLE = mfps14,
  YEAR      = 2014,
  url       = {http://arxiv.org/abs/1406.2060}
}


@inproceedings{Dwork06,
	Author       = {Dwork, Cynthia},
	Booktitle    = icalp06,
	Pages        = {1--12},
	Title        = {Differential Privacy},
	Year         = {2006},
  url          = {http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.83.7534&rep=rep1&type=pdf}
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@inproceedings{Benton04,
	Author       = {Benton, Nick},
	Booktitle    = popl04,
	Pages        = {14--25},
	Title        = {Simple relational correctness proofs for static analyses and program transformations},
	Year         = {2004},
  url          = {http://research.microsoft.com/en-us/um/people/nick/correctnessfull.pdf}
}

@inproceedings{AmtoftB04,
  author       = {Torben Amtoft and
               Anindya Banerjee},
  title        = {Information Flow Analysis in Logical Form},
  booktitle    = sas04,
  pages        = {100--115},
  publisher    = springer,
  address      = {Heidelberg},
  series       = lncs,
  volume       = {3148},
  year         = {2004},
  url          = {http://software.imdea.org/~ab/Publications/ifalftr.pdf}
}

@inproceedings{BartheGZ09,
	Address      = {New York},
	Author       = {Barthe, Gilles and
                  Gr{\'e}goire, Benjamin and
                  Zanella{-}B{\'e}guelin, Santiago},
	Booktitle    = popl09,
	Pages        = {90--101},
	Title        = {Formal Certification of Code-Based Cryptographic Proofs},
	Year         = {2009},
  url          = {http://research.microsoft.com/pubs/185309/Zanella.2009.POPL.pdf}
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@inproceedings{BartheDGKZ13,
  author       = {Barthe, Gilles and
                  Danezis, George and
                  Gr{\'e}goire, Benjamin and
                  Kunz, C{\'e}sar and
                  Zanella{-}B{\'e}guelin Santiago},
  title        = {Verified Computational Differential Privacy with Applications to Smart Metering},
  booktitle    = csf13,
  year         = {2013},
  pages        = {287--301},
  url          = {http://www0.cs.ucl.ac.uk/staff/G.Danezis/papers/easypriv.pdf}
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@inproceedings{DBLP:journals/corr/BaiTG14,
  author       = {Wei Bai and
               Emmanuel M Tadjouddine and
               Yu Guo},
  title        = {Enabling Automatic Certification of Online Auctions},
  booktitle    = fesca14,
  series       = {EPTCS},
  volume       = {147},
  year         = {2014},
  pages        = {123--132},
  url          = {http://dx.doi.org/10.4204/EPTCS.147.9},
}


@inproceedings{DBLP:conf/facs2/BaiTPG13,
  author       = {Wei Bai and
               Emmanuel M Tadjouddine and
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               Sheng-Uei Guan},
  title        = {A Proof-Carrying Code Approach to Certificate Auction Mechanisms},
  booktitle    = {FACS},
  year         = {2013},
  pages        = {23--40},
  url          = {http://dx.doi.org/10.1007/978--3-319--07602--7_4},
  publisher    = springer,
  series       = lncs,
  volume       = {8348},
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@inproceedings{DBLP:conf/ceemas/TadjouddineG07,
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  booktitle    = ceemas07,
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  pages        = {288--297},
  url          = {http://dx.doi.org/10.1007/978--3-540--75254--7_29},
  publisher    = springer,
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@article{DBLP:journals/ipl/Vestergaard06,
  author       = {Ren{\'e} Vestergaard},
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  url          = {http://dx.doi.org/10.1016/j.ipl.2005.09.010},
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@inproceedings{Roux:2009,
 author        = {Le Roux, St{\'e}phane},
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@techreport{BUCS-TR-2008-026,
author         = {Andrei Lapets and Alex Levin and David Parkes},
title          = {{A Typed Truthful Language for One-dimensional Truthful Mechanism Design}},
number         = {BUCS-TR-2008--026},
year           = {2008},
institution    = {Boston University},
url            = {http://cs-people.bu.edu/lapets/resource/typed-ec-mech.pdf}
}

@misc{Fang14,
author         = {Ye Fang and Swarat Chaudhuri and  Moshe Vardi},
title          = {{Computer-aided mechanism design}},
howpublished   = {Poster at POPL'14},
year           = {2014}
}


@inproceedings{CasinghinoSW14,
  author       = {Chris Casinghino and Vilhelm Sj\"{o}berg and Stephanie Weirich},
  title        = {Combining Proofs and Programs in a Dependently Typed Langauge},
  booktitle    = popl14,
  year         = {2014},
  url          = {http://www.seas.upenn.edu/~ccasin/papers/combining-TR.pdf}
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@inproceedings{DBLP:conf/mkm/0002CKMRWW13,
  author       = {Christoph Lange and
                  Marco B Caminati and
                  Manfred Kerber and
                  Till Mossakowski and
                  Colin Rowat and
                  Makarius Wenzel and
                  Wolfgang Windsteiger},
  title        = {A Qualitative Comparison of the Suitability of Four Theorem
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  booktitle    = {MKM/Calculemus/DML},
  publisher    = springer,
  series       = lncs,
  volume       = {7961},
  year         = {2013},
  pages        = {200--215},
  url          = {http://dx.doi.org/10.1007/978--3-642--39320--4_13}
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@article{DBLP:journals/cacm/ChaudhuriGL12,
  author       = {Swarat Chaudhuri and
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@article{BartheDR04,
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@inproceedings{ZaksP08,
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  year         = {2008},
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@inproceedings{TerauchiA05,
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	Year         = {2005},
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@inproceedings{BartheCK11,
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@inproceedings{BartheCK13,
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  year         = {2013},
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@inproceedings{DBLP:conf/esop/WadlerF09,
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@inproceedings{DBLP:conf/popl/GreenbergPW10,
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@inproceedings{DBLP:conf/sfp/GronskiF07,
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@inproceedings{Vytiniotis+13,
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@INPROCEEDINGS{Flanagan06,
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@inproceedings{EignerM13,
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@article{Tschantz201161,
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@inproceedings{milgrom2014deferred,
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@inproceedings{JT14,
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@inproceedings{BST14,
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@inproceedings{smallfoot,
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 author        = {Chaudhuri, Swarat and Gulwani, Sumit and Lublinerman, Roberto},
 title         = {Continuity analysis of programs},
 booktitle     = popl10,
 year          = {2010},
 pages         = {57--70},
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@InProceedings{CGLN11,
  title        = "Proving programs robust",
  author       = "Swarat Chaudhuri and Sumit Gulwani and Roberto
		 Lublinerman and Sara NavidPour",
  booktitle    = { {ACM} {SIGSOFT} Symposium on the Foundations of Software
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  year         = "2011",
  ISBN         = "978-1-4503-0443-6",
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  URL          = "http://doi.acm.org/10.1145/2025113.2025131",
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@INPROCEEDINGS{Lowe-QIF02,
    author     = {Gavin Lowe},
    title      = {Quantifying Information Flow},
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    year       = {2002},
    pages      = {18--31}
}

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 author        = {McCamant, Stephen and Ernst, Michael D.},
 title         = {Quantitative information flow as network flow capacity},
 booktitle     = pldi08,
 year          = {2008},
 isbn          = {978-1-59593-860-2},
 pages         = {193--205},
 address       = {New York, NY, USA},
 }

@inproceedings{AACP11,
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  booktitle    = icalp11,
  year         = {2011},
  series       = lncs,
  publisher    = springer,
  volume       = {6756},
  pages        = {60--76},
  url          = {http://hal.inria.fr/inria-00627937/en},
}

@inproceedings{barthekoepf11,
 author        = {Gilles Barthe and Boris K{\"o}pf},
 title         = {{Information-theoretic Bounds for Differentially Private Mechanisms}},
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 pages         = {191--204},
 year          = {2011}
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@article{l-diversity,
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@article{ESA04,
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@incollection{BGBP-bigops08,
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@inproceedings{Chakarov-martingale,
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  year         = {2013},
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@inproceedings{FerrerHermanns15,
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@inproceedings{Kozen06,
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@inproceedings{liquid-haskell,
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}

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@book{Thorisson00,
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@book{Lindvall02,
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@book{Villani08,
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@techreport{DengD11,
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	Title        = {Logical, Metric, and Algorithmic Characterisations of Probabilistic Bisimulation},
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@article{mount1974informational,
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@inproceedings{devanur2011prior,
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}

@inproceedings{CR14,
 author = {Cole, Richard and Roughgarden, Tim},
 title = {The Sample Complexity of Revenue Maximization},
 booktitle = stoc14,
 year = {2014},
 pages = {243--252},
 numpages = {10},
 url={http://arxiv.org/abs/1502.00963},
 keywords = {Myerson's auction, sample complexity},
} 

@inproceedings{blum2005near,
  author = {Blum, Avrim and Hartline, Jason D},
  booktitle = soda05,
  pages = {1156-1163},
  publisher = {SIAM},
  title = {Near-optimal online auctions},
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  year = 2005
}

@inproceedings{balcan2005mechanism,
  author    = {Balcan, Maria{-}Florina and
               Blum, Avrim and
               Hartline, Jason D and
               Mansour, Yishay},
  title     = {Mechanism Design via Machine Learning},
  booktitle = focs05,
  pages     = {605--614},
  url       = {http://users.eecs.northwestern.edu/~hartline/papers/auctions-FOCS-05.pdf},
  year      = 2005,
}

@INPROCEEDINGS {B+03,
    author    = {Blum, Avrim and Kumar, Vijay and Rudra, Atri and Wu, Felix},
    title     = "Online Learning in Online Auctions",
    booktitle = soda03,
    publisher = {ACM},
    url       = {http://www.cs.cmu.edu/~avrim/Papers/onlineauction.pdf},
    year      = 2003,
}

@inproceedings{CGMsoda13,
  author = {Cesa-Bianchi, Nicolò and Gentile, Claudio and Mansour, Yishay},
  booktitle = soda13,
  pages = {1190--1204},
  publisher = siam,
  title = {Regret Minimization for Reserve Prices in Second-Price Auctions},
  url  = {http://epubs.siam.org/doi/pdf/10.1137/1.9781611973105.86},
  year = 2013
}


@inproceedings{hartline2009simple,
  author = {Hartline, Jason D and Roughgarden, Tim},
  booktitle = ec09,
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  title = {Simple versus optimal mechanisms},
  year = 2009,
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}


@Inproceedings {BBDSics11,
author       = {Babaioff, Moshe and Blumrosen, Liad and Dughmi, Shaddin and Singer, Yaron},
booktitle    = itcs11,
month        = jan,
publisher    = {Tsinghua University Press},
title        = {Posting Prices with Unknown Distributions},
year         = {2011},
url          = {http://research.microsoft.com/apps/pubs/default.aspx?id=144123},
}


@inproceedings {morgenstern15pseudo,
    author  = {Jamie Morgenstern and Tim Roughgarden},
    title   = {The Pseudo-Dimension of Nearly-Optimal Auctions},
    booktitle = nips15,
    year    = 2015,
    url     = {http://arxiv.org/abs/1506.03684},
}

@unpublished{RS15,
author = "Roughgarden, Tim and Schrijvers, Okke",
title = "Ironing in the Dark",
note = "Under submission",
year = 2015
}

@inproceedings{rubensteinsubadditive,
 author = {Rubinstein, Aviad and Weinberg, S. Matthew},
 title = {Simple Mechanisms for a Subadditive Buyer and Applications to Revenue Monotonicity},
 booktitle = ec15,
 year = {2015},
 pages = {377--394},
 numpages = {18},
 acmid = {2764510},
 publisher = {ACM},
 url = {http://people.csail.mit.edu/smweinberg/ec15subadditive.pdf},
}

@inproceedings{balcan2014learning,
  title={Learning economic parameters from revealed preferences},
  author={Balcan, Maria-Florina and Daniely, Amit and Mehta, Ruta and Urner, Ruth and Vazirani, Vijay V},
  booktitle=wine14,
  pages={338--353},
  year={2014},
  publisher={Springer},
  url={http://arxiv.org/abs/1407.7937}
}

@inproceedings{dughmi2014sampling,
year={2014},
booktitle=wine14,
volume={8877},
series={Lecture Notes in Computer Science},
title={Sampling and Representation Complexity of Revenue Maximization},
publisher=springer,
author={Dughmi, Shaddin and Han, Li and Nisan, Noam},
pages={277--291},
url={http://arxiv.org/abs/1402.4535},
}


@inproceedings{babaioffadditive,
	Author = {Babaioff, Moshe and Immorlica, Nicole and Lucier, Brendan and
    Weinberg, S. Matthew},
	Booktitle = focs14,
	Title = {A Simple and Approximately Optimal Mechanism for an Additive Buyer},
	Year = {2014},
  url  = {http://arxiv.org/abs/1405.6146}
}

@inproceedings{yao2015soda,
author = {Yao, Andrew Chi-Chih},
title = {An $n$-to-$1$ Bidder Reduction for Multi-item Auctions and its Applications},
booktitle = soda14,
chapter = {8},
year={2015},
publisher = {ACM},
pages = {92--109},
url = {http://arxiv.org/abs/1406.3278}
}


@inproceedings{huang2014making,
 author = {Huang, Zhiyi and Mansour, Yishay and Roughgarden, Tim},
 title = {Making the Most of Your Samples},
 booktitle = ec15,
 year = {2015},
 isbn = {978-1-4503-3410-5},
 pages = {45--60},
 numpages = {16},
 acmid = {2764475},
 publisher = {ACM},
 keywords = {auction, revenue, sample complexity},
 url = {http://arxiv.org/abs/1407.2479},
} 

@article{dhangwatnotai2014revenue,
  title={Revenue maximization with a single sample},
  author={Dhangwatnotai, Peerapong and Roughgarden, Tim and Yan, Qiqi},
  journal=geb,
  year={2014},
  publisher={Elsevier},
  url={http://theory.stanford.edu/~tim/papers/single.pdf},
}


@inproceedings{chawla2007algorithmic,
 author = {Chawla, Shuchi and Hartline, Jason and Kleinberg, Robert},
 title = {Algorithmic Pricing via Virtual Valuations},
 booktitle = ec07,
 year = {2007},
 pages = {243--251},
 numpages = {9},
 acmid = {1250946},
 publisher = {ACM},
 url = {http://arxiv.org/abs/0808.1671},
} 

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title = "The {E}nglish Auction with Differentiated Commodities",
journal = jet,
volume = "92",
number = "1",
pages = "66--95",
year = "2000",
issn = "0022-0531",
url = "http://www.sciencedirect.com/science/article/pii/S0022053199925802",
author = "Faruk Gul and Ennio Stacchetti"
}


@Article{OL15,
  author={Ostrovsky, Michael and Paes Leme, Renato},
  title={Gross substitutes and endowed assignment valuations},
  journal={Theoretical Economics},
  year=2015,
  volume={10},
  number={3},
  pages={853--865},
  month=sep,
  keywords={Substitutability; matching; combinatorial auctions; matroids},
  abstract={We show that the class of preferences satisfying the Gross Substitutes condition of Kelso and Crawford (1982) is strictly larger than the class of Endowed Assignment Valuations of Hatfield and Milgrom (2005), thus resolving the open question posed by the latter paper. In particular, our result implies that not every substitutable valuation function can be \"decomposed\" into a combination of unit-demand valuations.},
  url={https://econtheory.org/ojs/index.php/te/article/viewFile/20150853/13867/412}
}

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year={1996},
isbn={978-3-540-61310-7},
booktitle=ipco06,
volume={1084},
series={Lecture Notes in Computer Science},
editor={Cunningham, William H and McCormick, S Thomas and Queyranne, Maurice},
title={Convexity and {S}teinitz's exchange property},
url={http://dx.doi.org/10.1007/3-540-61310-2_20},
publisher={Springer Berlin Heidelberg},
author={Murota, Kazuo},
pages={260--274},
language={English}
}

@article{MS99,
author = {Murota, Kazuo and Shioura, Akiyoshi},
title = {{M}-{C}onvex Function on Generalized Polymatroid},
journal = {Mathematics of Operations Research},
volume = {24},
number = {1},
pages = {95--105},
year = {1999},
URL = {http://dx.doi.org/10.1287/moor.24.1.95},
eprint = {http://dx.doi.org/10.1287/moor.24.1.95},
abstract = { The concept of M-convex function, introduced by Murota (1996), is a quantitative generalization of the set of integral points in an integral base polyhedron as well as an extension of valuated matroid of Dress and Wenzel (1990). In this paper, we extend this concept to functions on generalized polymatroids with a view to providing a unified framework for efficiently solvable nonlinear discrete optimization problems. }
}

@article{FY03,
author = {Fujishige, Satoru and Yang, Zaifu},
title = {A Note on {K}elso and {C}rawford's {G}ross {S}ubstitutes Condition},
journal = {Mathematics of Operations Research},
volume = {28},
number = {3},
pages = {463--469},
year = {2003},
URL = {http://dx.doi.org/10.1287/moor.28.3.463.16393},
eprint = {http://dx.doi.org/10.1287/moor.28.3.463.16393},
abstract = { In their 1982 article, Kelso and Crawford proposed a gross substitutes condition for the existence of core (and equilibrium) in a two-sided matching model. Since then, this condition has often been used in the literature on matching models and equilibrium models in the presence of indivisibilities. In this paper we prove that a reservation value (or utility) function satisfies the gross substitutes condition if and only if it is an M♮-concave function defined on the unit-hypercube, which is a discrete concave function recently introduced by Murota and Shioura (1999). }
}

@article{MT10,
title = "Characterization of the {W}alrasian equilibria of the assignment model ",
journal = "Journal of Mathematical Economics",
volume = "46",
number = "1",
pages = "6--20",
year = "2010",
issn = "0304-4068",
url = "http://www.sciencedirect.com/science/article/pii/S0304406809000627",
author = "Debasis Mishra and Dolf Talman",
keywords = "Assignment model",
keywords = "Walrasian equilibrium",
keywords = "Iterative auctions",
keywords = "Overdemanded set",
keywords = "Underdemanded set "
}


@book{shalev2014book,
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@article{BLN13,
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  url       = {http://arxiv.org/abs/1301.1153},
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  year={2014}
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}

@article{ST15,
   author = {Shioura, Akiyoshi and Tamura, Akihisa},
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   year = 2015,
   month = jan,
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   url   = {http://www.orsj.or.jp/~archive/pdf/e_mag/Vol.58_01_061.pdf}
}

@Book{Matroid,
  Title                    = {Matroid Theory},
  Author                   = {Oxley, James G},
  Publisher                = {Oxford University Press},
  Year                     = {1997},
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}

@inproceedings{elkind2007,
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@inproceedings{medina2014learning,
  title={Learning Theory and Algorithms for revenue optimization in second price auctions with reserve},
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@article{arrow1954existence,
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@inproceedings{deng02complexity,
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  ORGANIZATION = {{IFIP}},
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  SERIES = {Lecture Notes in Computer Science},
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  YEAR = {2014},
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  KEYWORDS = {differential privacy ; probabilistic automata ; bisimulation metrics ; verification},
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@unpublished{lyu2016understanding,
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@unpublished{DBLP:journals/corr/OhV13,
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