Faculty

Institution

Unit

Venue

Mr Michael Nussbaum

Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

Mr Michael Nussbaum is currently serving as a College Of Arts And Sciences Professor at Cornell University.

Honors

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Experiences

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Education

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Mr Michael Nussbaum

Cornell University

Professor

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applied mathematics statistics statistical methodology statistical inference asymptotic analysis estimation theory mathematics statistical models computational statistics quantum information science quantum science probability theory applied statistics quantum mechanics approximation theory parameter estimation measurement problems quantum systems gaussian white noise statistical mechanics density estimation lower bounds spectral theory convex analysis statistical physics gaussian process quantum measurement mathematical statistics estimation statistic mathematical optimization semi-nonparametric estimation diffusion process bayesian analysis mathematical sciences quantum security spline (mathematics) stochastic optimization multivariate analysis minimax risk biostatistics theoretical physics quantum mechanical properties asymptotic formula gaussian analysis parameter identification measure theory regression analysis bayesian error probabilities asymptotic equivalence nonparametric density estimation white noise case true quantum state optimal discrimination asymptotic efficiency second kind multivariate linear model white noise entropy discrete algorithms combinatorial theory general systems fractals quadratic programming regularization (mathematics) curve modeling curve fitting optimal investment security parametric programming quantum error correction quantum algorithms quantum communications reproducing kernel methods quantum generalisation quantum hypothesis testing error probability white noise experiment quantum engineering quantum probability

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Functional Hungarian Construction for Sums of Independent Random Variables. arXiv (Cornell University) (2024)

Grama, IonNussbaum, Michael

functional analysisfunctional hungarian constructionmeasure theorybounded functionalsstatistical mechanicsasymptotic analysisprobability theorymathematical scienceshungarian constructionapplied mathematicsmathematicslower bounds

Asymptotic Equivalence for Nonparametric Generalized Linear Models. arXiv (Cornell University) (2024)

Grama, IonNussbaum, Michael

asymptotic formulastatistical inferencestatisticsapproximation theorystatistical methodologygaussian white noiseestimation theoryasymptotic analysisregression modelapplied mathematicsgaussian noisecomputational statistics

On the Optimal Error Exponents for Classical and Quantum Antidistinguishability. Letters in Mathematical Physics (2024)

Hemant K. MishraMichael NussbaumMark M. Wilde

approximation theoryquantum error correctionquantum securityspectral theoryquantum algorithmsoptimal error exponentsapplied mathematicsmathematicsquantum mechanicsquantum information sciencequantum science

Minimax Estimation of Low-Rank Quantum States and Their Linear Functionals. Bernoulli (2023)

Samriddha LahiryMichael Nussbaum

minimax estimationgaussian shift experimentquantum machine learningstatistical mechanicsprobability theoryquantum systemsquantum optimization algorithmslinear functionalsapplied mathematicsmathematicsquantum mechanicsquantum information sciencequantum science

Minimax Nonparametric Estimation of Pure Quantum States. The Annals of Statistics (2022)

Samriddha LahiryMichael Nussbaum

asymptotic analysisspectral theoryminimax nonparametric estimationquantum systemsquantum optimization algorithmsadaptive estimatorsapplied mathematicsmathematicsmeasurement problemsnonparametric estimationquantum information sciencequantum science

Local Asymptotic Normality and Optimal Estimation of Low-Rank Quantum Systems. arXiv (Cornell University) (2021)

Samriddha LahiryMichael Nussbaum

statisticsquantum machine learningsharp minimax optimalstatistical mechanicsasymptotic analysisquantum systemsquantum optimization algorithmsapplied mathematicsfull rankmathematicsquantum information sciencedimensional gaussian distributionquantum science

Local Asymptotic Equivalence of Pure States Ensembles and Quantum Gaussian White Noise. The Annals of Statistics (2018)

Cristina ButuceaMădălin GuţăMichael Nussbaum

statistical inferencestatistical mechanicsasymptotic analysislocal asymptotic equivalencequantum systemssharp parametric ratestatistical physicsapplied mathematicsmathematicsmeasurement problemsquantum information sciencequantum science

Sharp Minimax Adaptation Over Sobolev Ellipsoids in Nonparametric Testing. Electronic Journal of Statistics (2017)

Pengsheng JiMichael Nussbaum

statistical inferencestatisticsstatistical methodologyestimation theoryasymptotic analysissharp minimax adaptationapplied mathematicsconvex analysisnonparametric testingsecond kind

New Horizons in Statistical Decision Theory. Oberwolfach Reports (2015)

Richard D. GillMadalin GutaMichael Nussbaum

statistical inferencestatisticsentropyquantum engineeringtheoretical physicsnew horizonsapplied probabilitycomputational statisticsclassical metric theoryquantum systemsstatistical physicsapplied mathematicsmathematicsmeasurement problemsquantum mechanicsquantum information sciencequantum science

Obituary for Helga Bunke (13 July 1938–4 May 2014). Statistics (2015)

Johannes GladitzMichael NussbaumZwanzig Silvelyn

historical reviewinterdisciplinary historysocial historyoral historycultural historyhelga bunkehistoryhistorical scholarshiparchival researchmedical historypublic historyhistoriographyhistorical evidence

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Mr Michael Nussbaum

Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

Mr Michael Nussbaum is currently serving as a College Of Arts And Sciences Professor at Cornell University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Mr Michael Nussbaum

Cornell University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Functional Hungarian Construction for Sums of Independent Random Variables. arXiv (Cornell University) (2024)

Grama, IonNussbaum, Michael

Asymptotic Equivalence for Nonparametric Generalized Linear Models. arXiv (Cornell University) (2024)

Grama, IonNussbaum, Michael

On the Optimal Error Exponents for Classical and Quantum Antidistinguishability. Letters in Mathematical Physics (2024)

Hemant K. MishraMichael NussbaumMark M. Wilde

Minimax Estimation of Low-Rank Quantum States and Their Linear Functionals. Bernoulli (2023)

Samriddha LahiryMichael Nussbaum

Minimax Nonparametric Estimation of Pure Quantum States. The Annals of Statistics (2022)

Samriddha LahiryMichael Nussbaum

Local Asymptotic Normality and Optimal Estimation of Low-Rank Quantum Systems. arXiv (Cornell University) (2021)

Samriddha LahiryMichael Nussbaum

Local Asymptotic Equivalence of Pure States Ensembles and Quantum Gaussian White Noise. The Annals of Statistics (2018)

Cristina ButuceaMădălin GuţăMichael Nussbaum

Sharp Minimax Adaptation Over Sobolev Ellipsoids in Nonparametric Testing. Electronic Journal of Statistics (2017)

Pengsheng JiMichael Nussbaum

statistical inferencestatisticsstatistical methodologyestimation theoryasymptotic analysissharp minimax adaptationapplied mathematicsconvex analysisnonparametric testingsecond kind

New Horizons in Statistical Decision Theory. Oberwolfach Reports (2015)

Richard D. GillMadalin GutaMichael Nussbaum

Obituary for Helga Bunke (13 July 1938–4 May 2014). Statistics (2015)

Johannes GladitzMichael NussbaumZwanzig Silvelyn

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