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Quadratic functional estimation in inverse problems [PDF]
, 2009 We consider in this paper a Gaussian sequence model of observations $Y_i$, $i\geq 1$ having mean (or signal) $\theta_i$ and variance $\sigma_i$ which is growing polynomially like $i^\gamma$, $\gamma >0$.
Butucea, Cristina, Méziani, Katia
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Advancing Structural Health Monitoring with Deep Belief Network-Based Classification
MathematicsStructural health monitoring (SHM) plays a critical role in ensuring the safety and longevity of civil infrastructure by enabling the early detection of structural changes and supporting preventive maintenance strategies.
Álvaro Presno Vélez +2 more
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Computer Assisted Methods in Engineering and Science, 2019 We present the next issue of CAMES, in which four articles addressing inverse problems are to be found. These articles were presented during the 5th International Conference on Inverse Problems Methods IPM 2019 which was held at the Kombornia Manor ...
Tadeusz Burczyński
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AIMS MathematicsIn seismic data processing, both in inversion (Inverse Processing) and modeling (Direct Processing), it is essential to consider anisotropy to unravel the geological structure of the subsoil. Besides, in most cases, the macroscopic model of anisotropy in
Luis M. Pedruelo-González +1 more
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Data-driven structural transition detection using vibration monitoring and LSTM networks
AIMS MathematicsStructural health monitoring (SHM) is essential for ensuring the safety and durability of civil infrastructure. Traditional SHM approaches, based on manual inspections or threshold-based analyses, often fail to detect early or subtle structural changes ...
A. Presno Vélez +2 more
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Inverse hyperbolic problems and optical black holes [PDF]
, 2008 In this paper we give a more geometrical formulation of the main theorem in [E1] on the inverse problem for the second order hyperbolic equation of general form with coefficients independent of the time variable.
A. Katchalov +9 more
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AIMS MathematicsStructural health in civil engineering involved maintaining a structure's integrity and performance over time, resisting loads and environmental effects.
A. Presno Vélez +2 more
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Kinetic Methods for Inverse Problems
, 2018 The Ensemble Kalman Filter method can be used as an iterative numerical scheme for parameter identification or nonlinear filtering problems. We study the limit of infinitely large ensemble size and derive the corresponding mean-field limit of the ...
Herty, Michael, Visconti, Giuseppe
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Neural networks for quantum inverse problems
New Journal of Physics, 2022 Quantum inverse problem (QIP) is the problem of estimating an unknown quantum system from a set of measurements, whereas the classical counterpart is the inverse problem of estimating a distribution from a set of observations. In this paper, we present a
Ningping Cao +5 more
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Classification and Prediction of Topological Insulators by Using the Density of States
MathematicsIn order to characterize topological insulators it is customary to use representations of the electronic structure, such as the band structure, where the energy of electrons is represented as a function of their momenta.
Alejandro Díaz-Nadales +3 more
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