Instances of Computational Optimal Recovery: Dealing with Observation Errors (original) (raw)

Near-optimality of linear recovery from indirect observations

Arkadi Nemirovski

Mathematical Statistics and Learning

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On optimal recovery in L 2

V. Temlyakov

arXiv: Numerical Analysis, 2020

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The subsampled Poincar\' e inequality for functional recovery

Thomas Hou

ArXiv, 2019

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The possibility of estimating the values of a function at given points of the measurement results of a finite number of its linear functionals

Alexey Chulichkov

Moscow University Physics Bulletin, 2014

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Direct Estimation of Linear Functionals from Indirect Noisy Observations

P. Mathé

Journal of Complexity, 2002

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On the Equivalence between Set–Theoretic and Maxent MAP Estimation

Pierre Moulin

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Accuracy Guarantees for � �-Recovery

Arkadi Nemirovski

2011

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Adaptive reconstruction of imperfectly-observed monotone functions, with applications to uncertainty quantification

Luc Bonnet, Eric Savin

Algorithms, 2020

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Functional Optimal Estimation Problems and Their Solution by Nonlinear Approximation Schemes

Marcello Sanguineti

Journal of Optimization Theory and Applications, 2007

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Exact Recoverability From Dense Corrupted Observations via $\ell _{1}$-Minimization

Hà Trần

IEEE Transactions on Information Theory, 2000

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Best estimation of functional linear models

Giacomo Aletti, Chiara Tommasi

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Inference in infinite-dimensional inverse problems: Discretization and duality

Philip Stark

Journal of Geophysical Research, 1992

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Approximability models and optimal system identification

Mahmood Ettehad

Mathematics of Control, Signals, and Systems

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Optimal recovery of operator sequences

Vladyslav Babenko

Matematychni Studii, 2021

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Linear Reconstruction Problems With Convex Constraints: Influence of the a Priori Data

Yurayh Velasquez

Applied Mathematics and Computation, 2000

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Data Assimilation in Reduced Modeling

Wolfgang Dahmen

SIAM/ASA Journal on Uncertainty Quantification

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Recovering Gradients from Sparsely Observed Functional Data

Sara Lopez-Pintado

Biometrics, 2013

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Recovery guarantees for compressed sensing with unknown errors

Simone Brugiapaglia

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Exact recoverability from dense corrupted observations via L_1L_1L_1 minimization

Hà Trần

2011

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From Discrete Measurements to Bounded Gradient Estimates: A Look at Some Regularizing Structures

G. Bunin, Dominique Bonvin

Industrial & Engineering Chemistry Research, 2013

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A Finite Approximation Framework for Infinite Dimensional Functional Problems

Brayan Ortiz

2018

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Optimal sampling schedule for parameter estimation of linear models with unknown but bounded measurement errors

Basilio Bona

IEEE Transactions on Automatic Control, 1987

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Stable, noniterative object reconstruction from incomplete data using a priori knowledge

Trevor Hall

Journal of the Optical Society of America

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Function reconstruction as a classical moment problem: a maximum entropy approach

Parthapratim Biswas

Journal of Physics A: Mathematical and Theoretical, 2010

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Data completion via an energy error functional

Thouraya N Baranger

2005

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Quadratic functional estimation in inverse problems

Katia Meziani

Statistical Methodology, 2011

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Uncertainty Principles and Signal Recovery

Philip Stark

SIAM Journal on Applied Mathematics, 1989

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Exact Recoverability From Dense Corrupted Observations via ell1\ell _{1}ell1-Minimization

Hà Trần

IEEE Transactions on Information Theory, 2013

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