Results 11 to 20 of about 195,667 (268)
Poisson inverse problems [PDF]
The Annals of Statistics, 2006 In this paper we focus on nonparametric estimators in inverse problems for Poisson processes involving the use of wavelet decompositions. Adopting an adaptive wavelet Galerkin discretization, we find that our method combines the well-known theoretical ...
Antoniadis, Anestis, Bigot, Jérémie
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Periodica Mathematica Hungarica, 2021 We prove that the largest convex shape that can be placed inside a given convex shape $Q \subset \mathbb{R}^{d}$ in any desired orientation is the largest inscribed ball of $Q$. The statement is true both when "largest" means "largest volume" and when it means "largest surface area". The ball is the unique solution, except when maximizing the perimeter
Sergio Cabello +2 more
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The Fukushima inverse problem [PDF]
2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 2013 Knowing what amount of radioactive material was released from Fukushima in March 2011 is crucial to understand the scope of the consequences. Moreover, it could be used in forward simulations to obtain accurate maps of deposition. But these data are often not publicly available, or are of questionable quality.
Marta Martinez-Camara +5 more
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Inverse problems for elliptic equations with fractional power type nonlinearities
, 2022 We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps us to solve inverse problems for certain nonlinear equations in cases ...
Liimatainen, Tony +3 more
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COUNTEREXAMPLES TO INVERSE PROBLEMS FOR THE WAVE EQUATION [PDF]
, 2022 We construct counterexamples to inverse problems for the wave operator on domains in Rn+1, n >= 2, and on Lorentzian manifolds. We show that non-isometric Lorentzian metrics can lead to same partial data measurements, which are formulated in terms ...
Liimatainen, Tony, Oksanen, Lauri
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Approximation of Bayesian inverse problems for PDEs [PDF]
, 2010 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
Dashti, Massoumeh +7 more
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Partial data inverse problems for Maxwell equations via Carleman estimates [PDF]
, 2018 In this article we consider an inverse boundary value problem for the time-harmonic Maxwell equations. We show that the electromagnetic material parameters are determined by boundary measurements where part of the boundary data is measured on a possibly ...
Ola, Petri +7 more
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Inverse problems for stochastic transport equations [PDF]
, 2014 Inverse problems for stochastic linear transport equations driven by a temporal or spatial white noise are discussed. We analyse stochastic linear transport equations which depend on an unknown potential and have either additive noise or multiplicative ...
Peszat, S +5 more
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Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems [PDF]
, 2012 In this paper, we establish a global Carleman estimate for stochastic parabolic equations. Based on this estimate, we study two inverse problems for stochastic parabolic equations.
Lü, Q., Lü Q.
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Sparse deterministic approximation of Bayesian inverse problems [PDF]
, 2011 We present a parametric deterministic formulation of Bayesian inverse problems with an input parameter from infinite-dimensional, separable Banach spaces.
A M Stuart +5 more
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