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A Discriminative Approach to Bayesian Filtering with Applications to Human Neural Decoding by MichaelC.Burkhart B.Sc.’s,HonorsMathematics,HonorsStatistics,andEconomics,PurdueUniversity,2011 M.Sc.,Mathematics,RutgersUniversity,2013 Adissertationsubmittedinpartialfulfillmentofthe requirementsfortheDegreeofDoctorofPhilosophy intheDivisionofAppliedMathematicsatBrownUniversity Providence,RhodeIsland May2019 © 2019 Michael C. Burkhart ThisdissertationbyMichael C.Burkhartisacceptedinitspresentformby theDivisionofAppliedMathematicsassatisfyingthedissertationrequirement forthedegreeofDoctorofPhilosophy. Date MatthewT.Harrison,Director RecommendedtotheGraduateCouncil Date BasilisGidas,Reader Date JeromeDarbon,Reader ApprovedbytheGraduateCouncil Date AndrewG.Campbell DeanoftheGraduateSchool iii VITA Education BrownUniversity Ph.D.AppliedMathematics 2013–2018 RutgersUniversity M.Sc. Mathematics 2011–2013 PurdueUniversity B.Sc.’sHonorsMathematics, 2007–2011 HonorsStatistics,&Economics Research Experience BrainGate Ph.D.candidate 2014–2018 ClinicalTrial advisedbyProf. MatthewT.Harrison • developedandimplementednovel nonlinearfiltersforonlineneural decoding(MatlabandPython) • enabledparticipantswith quadriplegiatocommunicateand interactwiththeirenvironmentsin realtimeusingmentalimageryalone • experimentedwithBayesian solutionstoproviderobustness againstcommonnonstationaritiesfor onlinedecodinginBrainComputer Interfaces iv SpotifyUSA,Inc. DataResearchIntern 2017 • implementedonlinestochastic variationalinferencefortopicmodels (LatentDirichletAllocation& HierarchicalDirichletProcesses)on playlistdata • scaledtrainingto500Mplaylists usingGoogleCloudPlatform’s BigQuery(SQL)andcloudML(for parallelcloudcomputing) Brown–Kobe TeamLeader,High–Performance 2016 SummerSchool Computing • designedandsupervisedaprojectto createaparallelizedparticlefilterfor neuraldecoding • taughttopicsinBayesianfiltering andTensorflow/Cython(compiled Python)tograduatestudentsfrom BrownandKobeUniversities v Argonne GraduateResearchAidetoDr. VictorM. 2013 NationalLab Zavala • propagatedvarianceinamultistep Gaussianprocesspredictionmodelto betterestimatepredictionerror (MatlabandR) • used MonteCarloExpectation Maximizationtolearn hyperparameters Publications • D. Brandman, M. Burkhart, J. Kelemen, B. Franco, M. Harrison*, & L. Hochberg*. Robust closed-loop control of a cursor in a person with tetraplegia using Gaussian processregression,NeuralComputation 30(2018). • D. Brandman, T. Hosman, J. Saab, M. Burkhart, B. Shanahan, J. Ciancibello, et al. Rapid calibration of an intracortical brain computer interface for people with tetraplegia. JournalofNeuralEngineering 15(2018). • M. Burkhart, Y. Heo, and V. Zavala. Measurement and verification of building sys- tems under uncertain data: A Gaussian process modeling approach, Energy and Buildings 75(2014). Pre-print • M. Burkhart*, D. Brandman*, C. Vargas-Irwin, & M. Harrison. The discriminative Kalmanfilterfornonlinearandnon-GaussiansequentialBayesianfiltering. vi Invited Talks • M. Burkhart, D. Brandman, C. Vargas-Irwin, & M. Harrison. Nonparametric dis- criminativefilteringforneuraldecoding. 2016ICSAAppliedStatisticsSymposium. Atlanta,GA,2016. • D.Knott,U.Walther,&M.Burkhart. FindingtheNon-reconstructibleLocus. SIAM ConferenceonAppliedAlgebraicGeometry. Raleigh,NC,2011. Conference Presentations • M. Burkhart, D. Brandman, & M. Harrison. The discriminative Kalman filter for nonlinear and non-Gaussian sequential Bayesian filtering. The 31st New England StatisticsSymposium,Storrs,CT,2017. • D. Brandman, M. Burkhart, …, M. Harrison, & L. Hochberg. Noise-robust closed- loop neural decoding using an intracortical brain computer interface in a person withparalysis. SocietyforNeuroscience,Washington,DC,2017. • —. Closedloopintracorticalbraincomputerinterfacecursorcontrolinpeopleusing a continuously updating Gaussian process decoder. Society for Neuroscience, San Diego,CA,2016. • —. Closed Loop Intracortical Brain Computer Interface Control in a Person with ALSUsingaFilteredGaussianProcessDecoder. AmericanNeurologicalAssoc. An- nualMeeting,Baltimore,MD,2016. • —. Intracortical brain computer interface control using Gaussian processes. Dal- housieUniversitySurgeryResearchDay,Halifax,NS,2016. • —. Closed loop intracortical brain computer interface control using Gaussian pro- cessesinanonlinear,discriminativeversionoftheKalmanfilter. 9thWorldCongress forNeurorehabilitation,Philadelphia,PA,2016. vii Community Involvement BrownSIAM VicePresident,ChapterRecords 2016–2017 StudentChapter • organizedeventswithintheapplied mathcommunity InterdepartmentalLiaisonOfficer 2015–2016 • foundingofficerofBrown’sstudent chapter RutgersMath Member,GraduateLiaisonCommittee 2012–2013 Department • responsibleforexpressinggraduate studentconcernstodepartment administration • helpedtoorientnewgraduate studentsinthedepartment PurdueStudent Member,CorporateBoardofDirectors 2009–2011 Publishing • oversawtheExponent,Purdue’s Foundation IndependentDailyStudentNewspaper • servedonEditorinChiefSearch Committee;interviewedcandidates andhelpedadiversecommitteeof professors,communitymembers,and studentscometoaconsensus viii Chairman,FinanceCommittee 2010–2011 • oversaw>$1millionannualbudget, setstudentandfacultysalaries, approvedcapitalexpenditures • workedtoensurethepaper’s long-termfinancialstabilitywith investmentaccounts PurdueStudent InvestigativeJustice 2007–2008 SupremeCourt • heardparkingandmovingviolation appealstocasesthatoccurredon universityproperty • servedonagradeappealscommittee Awards and Honors BrownInstituteforBrainScienceGraduateResearchAward 2016 BrownInternationalTravelAward(Arequipa,Peru) 2016 BrownConferenceTravelAward(Arequipa,Peru) 2016 Brown-IMPAPartnershipTravelAward(RiodeJaneiro,Brazil) 2015 Brown-KobeExchangeTravelAward(Kobe,Japan) 2014,2016 RutgersGraduateAssistantshipinAreasofNationalNeed 2012 Valedictorian,RoncalliHighSchool,Indianapolis,IN 2007 NationalMeritScholarFinalist 2007 EagleScout 2003 ix DEDICATION ThisthesisisdedicatedtoBrainGatevolunteer“T9”,whouponlearningIstudiedstatistics, kindly chided me that statisticians had predicted he would already be dead. I hope he wouldbepleasedwithourwork. Mayherestinpeace. x

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Publication Year:2019
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Pages:134
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