In the literature the most common proposed solutions for training inverse neural models are the direct (or general) and specialized methods. The second one being considered as more reliable to produce correct inverse models has nevertheless some drawbacks in the implementation. The present paper introduces a hybrid solution that copes with the problems and limitations of both solutions. The hyb...

The process of local cancer cell invasion the surrounding tissue is key for overall tumour growth and spread within human body, past 3 decades witnessing intense mathematical modelling efforts in these regards. However, a deep understanding studies require robust data assimilation approaches. While being crucial importance assimilating potential clinical data, inverse problems approaches are st...

We present a novel approach of modelling surface light scattering in the context two-dimensional reflector design, relying on energy conservation and optimal transport theory. For isotropic cylindrically or rotationally symmetric systems with in-plane scattering, scattered distribution can be expressed as convolution between function, which characterises optical properties surface, specular dis...

In this paper, a new five-parameter lifetime and reliability distribution named “the exponentiated Uniform-Pareto distribution (EU-PD),” has been suggested that it has a bathtub-shaped and inverse bathtub-shape for modeling lifetime data. This distribution has applications in economics, actuarial modelling, reliability modeling, lifetime and biological sciences. Firstly, the mathematical and st...

This paper deals with a three-dimensional thermal model for landmine detection problems and an inverse problem for reconstructing the physical parameters of buried objects. Moreover, solutions are given for the estimation of the soil thermal diffusivity and meteorological parameters, needed for solving the inverse problem. The paper describes the main fundamental principles of thermal modelling...

We describe a stochastic optimization method that can be used to solve inverse problems in epidemic modelling. Although in general it cannot be expected that these inverse problems have solutions and that possible solutions can be approximated by local optimization methods, our optimization method worked well when applied to a model for the epidemics caused by Respiratory Syncytial Virus (RSV) ...

The main problem in trajectory generation and tracking of robotic manipulators is to plan the trajectory and compute the required joint angles. Inverse kinematics modelling is usually adopted, though sometimes other approaches are needed due to the lack of reliability and accuracy of analytical methods. This paper presents a comparison between an analytical inverse kinematics based hybrid appro...