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Partial Inverse Sturm-Liouville Problems

open access: yesMathematics, 2023
This paper presents a review of both classical and modern results pertaining to partial inverse spectral problems for differential operators. Such problems consist in the recovery of differential expression coefficients in some part of the domain (a ...
Natalia P. Bondarenko
doaj   +3 more sources

Deep learning methods for inverse problems [PDF]

open access: yesPeerJ Computer Science, 2022
In this paper we investigate a variety of deep learning strategies for solving inverse problems. We classify existing deep learning solutions for inverse problems into three categories of Direct Mapping, Data Consistency Optimizer, and Deep Regularizer ...
Shima Kamyab   +3 more
doaj   +3 more sources

Semantic regularization of electromagnetic inverse problems [PDF]

open access: yesNature Communications
Solving ill-posed inverse problems typically requires regularization based on prior knowledge. To date, only prior knowledge that is formulated mathematically (e.g., sparsity of the unknown) or implicitly learned from quantitative data can be used for ...
Hongrui Zhang   +5 more
doaj   +2 more sources

The inverse Kakeya problem

open access: yesPeriodica 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
openaire   +2 more sources

Bayesian Random Tomography of Particle Systems

open access: yesFrontiers in Molecular Biosciences, 2021
Random tomography is a common problem in imaging science and refers to the task of reconstructing a three-dimensional volume from two-dimensional projection images acquired in unknown random directions. We present a Bayesian approach to random tomography.
Nima Vakili   +2 more
doaj   +1 more source

The Fukushima inverse problem [PDF]

open access: yes2013 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
openaire   +2 more sources

Robust pathway sampling in phenotype prediction. Application to triple negative breast cancer

open access: yesBMC Bioinformatics, 2020
Background Phenotype prediction problems are usually considered ill-posed, as the amount of samples is very limited with respect to the scrutinized genetic probes.
Ana Cernea   +7 more
doaj   +1 more source

Prediction of Protein Tertiary Structure via Regularized Template Classification Techniques

open access: yesMolecules, 2020
We discuss the use of the regularized linear discriminant analysis (LDA) as a model reduction technique combined with particle swarm optimization (PSO) in protein tertiary structure prediction, followed by structure refinement based on singular value ...
Óscar Álvarez-Machancoses   +2 more
doaj   +1 more source

Economic Cycles of Carnot Type

open access: yesEntropy, 2021
Originally, the Carnot cycle was a theoretical thermodynamic cycle that provided an upper limit on the efficiency that any classical thermodynamic engine can achieve during the conversion of heat into work, or conversely, the efficiency of a ...
Constantin Udriste   +2 more
doaj   +1 more source

Limit cycles in models of circular gene networks regulated by negative feedback loops

open access: yesBMC Bioinformatics, 2020
Background The regulatory feedback loops that present in structural and functional organization of molecular-genetic systems and the phenomenon of the regulatory signal delay, a time period between the moment of signal reception and its implementation ...
Vitaly A. Likhoshvai   +2 more
doaj   +1 more source

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