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Uncertainty Quantification and Modern Statistical Inference

Publikacje

Efficient nonparametric Bayesian inference for $X$-ray transforms

Autorzy: François Monard, Richard Nickl, Gabriel P. Paternain
Opublikowane w: The Annals of Statistics, Issue 47/2, 2019, ISSN 0090-5364
Wydawca: Institute of Mathematical Statistics
DOI: 10.1214/18-aos1708

Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problem

Autorzy: Matteo Giordano, Richard Nickl
Opublikowane w: Inverse Problems, Issue 36/8, 2020, Page(s) 085001, ISSN 0266-5611
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab7d2a

Nonparametric statistical inference for drift vector fields of multi-dimensional diffusions

Autorzy: Richard Nickl, Kolyan Ray
Opublikowane w: The Annals of Statistics, Issue 48/3, 2020, ISSN 0090-5364
Wydawca: Institute of Mathematical Statistics
DOI: 10.1214/19-aos1851

"Bernstein - von Mises theorems for statistical inverse problems I: Schr\""odinger equation"

Autorzy: Nickl, Richard
Opublikowane w: Journal of the European Mathematical Society, Issue 4, 2019, ISSN 1435-9855
Wydawca: European Mathematical Society Publishing House

Efficient Nonparametric Bayesian Inference For X-Ray Transforms

Autorzy: Monard, François; Nickl, Richard; Paternain, Gabriel P.
Opublikowane w: Annals of Statistics, Issue 4, 2019, ISSN 0090-5364
Wydawca: Institute of Mathematical Statistics

Adaptive confidence sets for matrix completion

Autorzy: Alexandra Carpentier, Olga Klopp, Matthias Löffler, Richard Nickl
Opublikowane w: Bernoulli, Issue 24/4A, 2018, Page(s) 2429-2460, ISSN 1350-7265
Wydawca: Chapman & Hall
DOI: 10.3150/17-BEJ933

Nonparametric Bayesian posterior contraction rates for discretely observed scalar diffusions

Autorzy: Richard Nickl, Jakob Söhl
Opublikowane w: The Annals of Statistics, Issue 45/4, 2017, Page(s) 1664-1693, ISSN 0090-5364
Wydawca: Institute of Mathematical Statistics
DOI: 10.1214/16-AOS1504

Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms

Autorzy: François Monard, Richard Nickl, Gabriel P. Paternain
Opublikowane w: Communications on Pure and Applied Mathematics, Issue 74/5, 2021, Page(s) 1045-1099, ISSN 0010-3640
Wydawca: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21942

Bernstein–von Mises theorems for statistical inverse problems II: compound Poisson processes

Autorzy: Richard Nickl, Jakob Söhl
Opublikowane w: Electronic Journal of Statistics, Issue 13/2, 2019, ISSN 1935-7524
Wydawca: Institute of Mathematical Statistics
DOI: 10.1214/19-ejs1609

On signal detection and confidence sets for low rank inference problems

Autorzy: Alexandra Carpentier, Richard Nickl
Opublikowane w: Electronic Journal of Statistics, Issue 9/2, 2015, ISSN 1935-7524
Wydawca: Institute of Mathematical Statistics
DOI: 10.1214/15-ejs1087

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