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    %% This BibTeX bibliography file was created using BibDesk.
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    %% Created for Laine, Riku P at 2019-08-02 09:38:23 +0300 
    
    
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    @inproceedings{Bareinboim2014:selectionbias,
      title = {Recovering from Selection Bias in Causal and Statistical Inference},
      author = {Bareinboim, E. and Tian, J. and Pearl, J.},
      booktitle = {Proceedings of the 28th AAAI Conference on Neural Information Processing Systems},
      year = {2014}
    }
    
    @inproceedings{Shpitser2015,
      title = {Missing Data as a Causal and Probabilistic Problem},
      author = {Shpitser, I. and Mohan, K. and Pearl, J.},
      editor = {Marina Meila and Tom Heskes},
      booktitle = {Proceedings of the 31st Conference on Uncertainty in Artificial Intelligence},
      publisher = {AUAI Press},
      pages = {802--811},
      year = {2015}
    }
    
    @inproceedings{Mohan2013,
    author = {K. Mohan and J. Pearl and J. Tian},
    title = {Graphical models for inference with missing data},
    booktitle = {Advances in Neural Information Systems},
    volume = {26},
    pages = {1277--1285},
    year = {2013}
    }
    
    @incollection{smr1999,
    author={Peter Spirtes and Christopher Meek and Thomas Richardson},
    title={An Algorithm for Causal Inference in the Presence of Latent Variables and Selection Bias},
    booktitle={Computation, Causation \& Discovery},
    editor = {Clark Glymour and Gregory F. Cooper},
    year = {1999},
    pages = {211--252},
    publisher = { AAAI / MIT Press}
    }
    
    
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    @article{holland1986statistics,
      title={Statistics and causal inference},
      author={Holland, Paul W},
      journal={Journal of the American statistical Association},
      volume={81},
      number={396},
      pages={945--960},
      year={1986},
      publisher={Taylor \& Francis}
    }
    
    
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    @inproceedings{kallus2018confounding,
      title={Confounding-robust policy improvement},
      author={Kallus, Nathan and Zhou, Angela},
      booktitle={Advances in neural information processing systems},
      pages={9269--9279},
      year={2018}
    }
    
    @inproceedings{DBLP:conf/icml/ThomasB16,
      author    = {Philip S. Thomas and
                   Emma Brunskill},
      editor    = {Maria{-}Florina Balcan and
                   Kilian Q. Weinberger},
      title     = {Data-Efficient Off-Policy Policy Evaluation for Reinforcement Learning},
      booktitle = {Proceedings of the 33nd International Conference on Machine Learning,
                   {ICML} 2016, New York City, NY, USA, June 19-24, 2016},
      series    = {{JMLR} Workshop and Conference Proceedings},
      volume    = {48},
      pages     = {2139--2148},
      publisher = {JMLR.org},
      year      = {2016},
      OPTurl       = {http://proceedings.mlr.press/v48/thomasa16.html},
      OPTtimestamp = {Wed, 29 May 2019 08:41:46 +0200},
      OPTbiburl    = {https://dblp.org/rec/bib/conf/icml/ThomasB16},
      OPTbibsource = {dblp computer science bibliography, https://dblp.org}
    }
    
    
    @article{chouldechova2017fair,
      title={Fair prediction with disparate impact: A study of bias in recidivism prediction instruments},
      author={Chouldechova, Alexandra},
      journal={Big data},
      volume={5},
      number={2},
      pages={153--163},
      year={2017},
      publisher={Mary Ann Liebert, Inc. 140 Huguenot Street, 3rd Floor New Rochelle, NY 10801 USA}
    }
    
    
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    @article{mccandless2017comparison,
      title={A comparison of Bayesian and Monte Carlo sensitivity analysis for unmeasured confounding},
      author={McCandless, Lawrence C and Gustafson, Paul},
      journal={Statistics in medicine},
      volume={36},
      number={18},
      pages={2887--2901},
      year={2017},
      publisher={Wiley Online Library}
    }
    
    @article{kleinberg2018human,
      title={Human decisions and machine predictions},
      author={Kleinberg, Jon and Lakkaraju, Himabindu and Leskovec, Jure and Ludwig, Jens and Mullainathan, Sendhil},
      journal={The quarterly journal of economics},
      volume={133},
      number={1},
      pages={237--293},
      year={2018},
      publisher={Oxford University Press}
    }
    
    @inproceedings{corbett2017algorithmic,
      title={Algorithmic decision making and the cost of fairness},
      author={Corbett-Davies, Sam and Pierson, Emma and Feller, Avi and Goel, Sharad and Huq, Aziz},
      booktitle={Proceedings of the 23rd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining},
      pages={797--806},
      year={2017}
    }
    
    
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    @inproceedings{coston2020counterfactual,
      title={Counterfactual risk assessments, evaluation, and fairness},
      author={Coston, Amanda and Mishler, Alan and Kennedy, Edward H and Chouldechova, Alexandra},
      booktitle={Proceedings of the 2020 Conference on Fairness, Accountability, and Transparency},
      pages={582--593},
      year={2020}
    }
    
    @inproceedings{madras2019fairness,
      title={Fairness through causal awareness: Learning causal latent-variable models for biased data},
      author={Madras, David and Creager, Elliot and Pitassi, Toniann and Zemel, Richard},
      booktitle={Proceedings of the Conference on Fairness, Accountability, and Transparency},
      pages={349--358},
      year={2019}
    }
    
    
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    @article{murder,
    OPTISSN = {09641998, 1467985X},
     OPTURL = {http://www.jstor.org/stable/30136747},
     author = {Richard Berk and Lawrence Sherman and Geoffrey Barnes and Ellen Kurtz and Lindsay Ahlman},
     journal = {Journal of the Royal Statistical Society. Series A (Statistics in Society)},
     number = {1},
     pages = {191--211},
     publisher = {[Wiley, Royal Statistical Society]},
     title = {Forecasting Murder within a Population of Probationers and Parolees: A High Stakes Application of Statistical Learning},
     volume = {172},
     year = {2009}
    }
    
    
    @book{little2019statistical,
      title={Statistical analysis with missing data},
      author={Little, Roderick JA and Rubin, Donald B},
      volume={793},
      year={2019},
      publisher={John Wiley \& Sons}
    }
    
    
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    @article{bang2005doubly,
      title={Doubly robust estimation in missing data and causal inference models},
      author={Bang, Heejung and Robins, James M},
      journal={Biometrics},
      volume={61},
      number={4},
      pages={962--973},
      year={2005},
      publisher={Wiley Online Library}
    }
    
    @inproceedings{DBLP:conf/icml/DudikLL11,
      author    = {Miroslav Dud{\'{\i}}k and
                   John Langford and
                   Lihong Li},
      editor    = {Lise Getoor and
                   Tobias Scheffer},
      title     = {Doubly Robust Policy Evaluation and Learning},
      booktitle = {Proceedings of the 28th International Conference on Machine Learning,
                   {ICML} 2011, Bellevue, Washington, USA, June 28 - July 2, 2011},
      pages     = {1097--1104},
      publisher = {Omnipress},
      year      = {2011},
    
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      OPTurl       = {https://icml.cc/2011/papers/554\_icmlpaper.pdf},
      OPTtimestamp = {Wed, 03 Apr 2019 17:43:35 +0200},
      OPTbiburl    = {https://dblp.org/rec/bib/conf/icml/DudikLL11},
      OPTbibsource = {dblp computer science bibliography, https://dblp.org}
    
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    }
    
    
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    @inproceedings{Jung2,
    author = {Jung, Jongbin and Shroff, Ravi and Feller, Avi and Goel, Sharad},
    title = {Bayesian Sensitivity Analysis for Offline Policy Evaluation},
    year = {2020},
    isbn = {9781450371100},
    publisher = {Association for Computing Machinery},
    address = {New York, NY, USA},
    
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    OPTurl = {https://doi.org/10.1145/3375627.3375822},
    OPTdoi = {10.1145/3375627.3375822},
    
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    booktitle = {Proceedings of the AAAI/ACM Conference on AI, Ethics, and Society},
    pages = {64?70},
    numpages = {7},
    
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    OPTkeywords = {pretrial risk assessment, offline policy evaluation, sensitivity to unmeasured confounding},
    OPTlocation = {New York, NY, USA},
    OPTseries = {AIES}
    
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    }
    
    
    
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    @inproceedings{DBLP:conf/icml/JohanssonSS16,
      author    = {Fredrik D. Johansson and
                   Uri Shalit and
                   David A. Sontag},
      editor    = {Maria{-}Florina Balcan and
                   Kilian Q. Weinberger},
      title     = {Learning Representations for Counterfactual Inference},
      booktitle = {Proceedings of the 33nd International Conference on Machine Learning,
                   {ICML} 2016, New York City, NY, USA, June 19-24, 2016},
      series    = {{JMLR} Workshop and Conference Proceedings},
      volume    = {48},
      pages     = {3020--3029},
      publisher = {JMLR.org},
      year      = {2016},
      url       = {http://proceedings.mlr.press/v48/johansson16.html},
      timestamp = {Fri, 15 Nov 2019 17:16:09 +0100},
      biburl    = {https://dblp.org/rec/bib/conf/icml/JohanssonSS16},
      bibsource = {dblp computer science bibliography, https://dblp.org}
    }
    
    @article{DBLP:journals/jmlr/BottouPCCCPRSS13,
      author    = {L{\'{e}}on Bottou and
                   Jonas Peters and
                   Joaquin Qui{\~{n}}onero Candela and
                   Denis Xavier Charles and
                   Max Chickering and
                   Elon Portugaly and
                   Dipankar Ray and
                   Patrice Y. Simard and
                   Ed Snelson},
      title     = {Counterfactual reasoning and learning systems: the example of computational
                   advertising},
      journal   = {J. Mach. Learn. Res.},
      volume    = {14},
      number    = {1},
      pages     = {3207--3260},
      year      = {2013},
      url       = {http://dl.acm.org/citation.cfm?id=2567766},
      timestamp = {Wed, 10 Jul 2019 15:27:56 +0200},
      biburl    = {https://dblp.org/rec/bib/journals/jmlr/BottouPCCCPRSS13},
      bibsource = {dblp computer science bibliography, https://dblp.org}
    }
    
    
    @inproceedings{DBLP:conf/icml/NabiMS19,
      author    = {Razieh Nabi and
                   Daniel Malinsky and
                   Ilya Shpitser},
    
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                   OPTaddress = { {ICML} 2019, 9-15 June 2019, Long Beach, California, {USA}},
     OPTeditor    = {Kamalika Chaudhuri and
    
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                   Ruslan Salakhutdinov},
      title     = {Learning Optimal Fair Policies},
    
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      booktitle = {Proceedings of the 36th International Conference on Machine Learning},
    
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      series    = {Proceedings of Machine Learning Research},
      volume    = {97},
      pages     = {4674--4682},
      publisher = {{PMLR}},
      year      = {2019},
    
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      OPTurl       = {http://proceedings.mlr.press/v97/nabi19a.html},
      OPTtimestamp = {Tue, 11 Jun 2019 15:37:38 +0200},
      OPTbiburl    = {https://dblp.org/rec/bib/conf/icml/NabiMS19},
      OPTbibsource = {dblp computer science bibliography, https://dblp.org}
    
    @article{rosenbaum1983central,
      title={The central role of the propensity score in observational studies for causal effects},
      author={Rosenbaum, Paul R and Rubin, Donald B},
      journal={Biometrika},
      volume={70},
      number={1},
      pages={41--55},
      year={1983},
      publisher={Oxford University Press}
    }
    
    @article{austin2011introduction,
      title={An introduction to propensity score methods for reducing the effects of confounding in observational studies},
      author={Austin, Peter C},
      journal={Multivariate behavioral research},
      volume={46},
      number={3},
      pages={399--424},
      year={2011},
      publisher={Taylor \& Francis}
    }
    
    
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    @book{pearl2000,
      author = 	 {J.~Pearl},
      title = 	 {Causality: Models, Reasoning, and Inference},
      publisher = 	 {Cambridge University Press},
      year = 	 {2000}
    }
    
    
    @article{pearl1995empirical,
      title={Causal diagrams for empirical research},
      author={Pearl, Judea},
      journal={Biometrika},
      volume={82},
      number={4},
      pages={669--688},
      year={1995},
      publisher={Oxford University Press}
    }
    
    
    @article{brennan2009evaluating,
      title={Evaluating the predictive validity of the COMPAS risk and needs assessment system},
      author={Brennan, Tim and Dieterich, William and Ehret, Beate},
      journal={Criminal Justice and Behavior},
      volume={36},
      number={1},
      pages={21--40},
      year={2009},
      publisher={Sage Publications Sage CA: Los Angeles, CA}
    }
    
    
    @article{hernan2004structural,
      title={A structural approach to selection bias},
      author={Hern{\'a}n, Miguel A and Hern{\'a}ndez-D{\'\i}az, Sonia and Robins, James M},
      journal={Epidemiology},
      volume={15},
      number={5},
      pages={615--625},
      year={2004},
      publisher={LWW}
    }
    
    
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    @inproceedings{DBLP:conf/icml/Kusner0LS19,
      author    = {Matt J. Kusner and
                   Chris Russell and
                   Joshua R. Loftus and
                   Ricardo Silva},
      title     = {Making Decisions that Reduce Discriminatory Impacts},
      booktitle = {{ICML}},
      series    = {Proceedings of Machine Learning Research},
      volume    = {97},
      pages     = {3591--3600},
      publisher = {{PMLR}},
      year      = {2019}
    }
    
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    @inproceedings{tolan2019why,
    
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    	OPTAcmid = {3326705},
    	OPTAddress = {New York, NY, USA},
    
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    	Author = {Tolan, Song\"{u}l and Miron, Marius and G\'{o}mez, Emilia and Castillo, Carlos},
    	Booktitle = {Proceedings of the Seventeenth International Conference on Artificial Intelligence and Law},
    
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    	OPTDate-Added = {2019-08-02 06:37:23 +0000},
    	OPTDate-Modified = {2019-08-02 06:38:23 +0000},
    	OPTDoi = {10.1145/3322640.3326705},
    	OPTIsbn = {978-1-4503-6754-7},
    	OPTKeywords = {algorithmic bias, algorithmic fairness, criminal recidivism, machine learning, risk assessment},
    	OPTLocation = {Montreal, QC, Canada},
    	OPTNumpages = {10},
    
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    	Pages = {83--92},
    	Publisher = {ACM},
    
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    	OPTSeries = {ICAIL '19},
    
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    	Title = {Why Machine Learning May Lead to Unfairness: Evidence from Risk Assessment for Juvenile Justice in Catalonia},
    
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    	OPTUrl = {http://doi.acm.org/10.1145/3322640.3326705},
    
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    @article{pearl2010introduction,
    	Author = {Pearl, Judea},
    	Journal = {The international journal of biostatistics},
    	Number = {2},
    	Publisher = {De Gruyter},
    	Title = {An introduction to causal inference},
    	Volume = {6},
    	Year = {2010}}
    
    
    @book{bookofwhy,
      title={The book of why: the new science of cause and effect},
      author={Pearl, Judea and Mackenzie, Dana},
      year={2018},
      publisher={Basic Books},
      address = {New York, USA}
    }
    
    
    @inproceedings{lakkaraju2017selective,
    
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    	OPTAcmid = {3098066},
    	OPTAddress = {New York, NY, USA},
    
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    	Author = {Lakkaraju, Himabindu and Kleinberg, Jon and Leskovec, Jure and Ludwig, Jens and Mullainathan, Sendhil},
    	Booktitle = {Proceedings of the 23rd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining},
    
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    	OPTDoi = {10.1145/3097983.3098066},
    	OPTIsbn = {978-1-4503-4887-4},
    	OPTKeywords = {evaluating machine learning algorithms, selective labels, unmeasured confounders, unobservables},
    	OPTLocation = {Halifax, NS, Canada},
    
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    	Numpages = {10},
    	Pages = {275--284},
    	Publisher = {ACM},
    	Series = {KDD '17},
    	Title = {The Selective Labels Problem: Evaluating Algorithmic Predictions in the Presence of Unobservables},
    
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    	OPTUrl = {http://doi.acm.org/10.1145/3097983.3098066},
    
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    	Year = {2017},
    
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    	OPTBdsk-Url-1 = {http://doi.acm.org/10.1145/3097983.3098066},
    	OPTBdsk-Url-2 = {http://dx.doi.org/10.1145/3097983.3098066}}
    
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    @article{jung2018algorithmic,
    	Author = {Jung, Jongbin and Shroff, Ravi and Feller, Avi and Goel, Sharad},
    	Date-Added = {2019-08-02 06:37:23 +0000},
    	Date-Modified = {2019-08-02 06:37:23 +0000},
    	Journal = {arXiv preprint arXiv:1805.01868},
    	Title = {Algorithmic decision making in the presence of unmeasured confounding},
    	Year = {2018}}
    
    @article{dearteaga2018learning,
    	Author = {De-Arteaga, Maria and Dubrawski, Artur and Chouldechova, Alexandra},
    	Date-Added = {2019-08-02 06:37:23 +0000},
    	Date-Modified = {2019-08-02 06:37:23 +0000},
    	Journal = {arXiv preprint arXiv:1807.00905},
    	Title = {Learning under selective labels in the presence of expert consistency},
    	Year = {2018}}
    
    
    @article{ohagan1979outlier,
      title={On outlier rejection phenomena in Bayes inference},
      author={O'Hagan, Anthony},
      journal={Journal of the Royal Statistical Society: Series B (Methodological)},
      volume={41},
      number={3},
      pages={358--367},
      year={1979},
      publisher={Wiley Online Library}
    }
    
    @inproceedings{bareinboim2012controlling,
      title={Controlling selection bias in causal inference},
      author={Bareinboim, Elias and Pearl, Judea},
      booktitle={Artificial Intelligence and Statistics},
      pages={100--108},
      year={2012}
    }
    
    @misc{kleinberg2016inherent,
        title={Inherent Trade-Offs in the Fair Determination of Risk Scores},
        author={Jon Kleinberg and Sendhil Mullainathan and Manish Raghavan},
        year={2016},
        eprint={1609.05807},
        archivePrefix={arXiv},
        primaryClass={cs.LG}
    }
    
    @article{angwin2016machine, 
      title={Machine Bias}, 
      url={https://www.propublica.org/article/machine-bias-risk-assessments-in-criminal-sentencing}, 
      journal={ProPublica}, 
    
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      year = {2016},
    
      author={Julia Angwin and Jeff Larson and Surya Mattu and Lauren Kirchner}
    
    } 
    
    @article{mccandless2007bayesian,
      title={Bayesian sensitivity analysis for unmeasured confounding in observational studies},
      author={McCandless, Lawrence C and Gustafson, Paul and Levy, Adrian},
      journal={Statistics in medicine},
      volume={26},
      number={11},
      pages={2331--2347},
      year={2007},
      publisher={Wiley Online Library}
    }