GPUs are increasingly common in scientific high-performance computing; however, their benefits are not uniform across all areas of scientific computing. In certain fields, such as in sonochemistry where delay differential equations can arise, large amounts of data must be accessed based on the current state of the simulation in an unaligned and uncoalesced manner. This usually hinders the...
We consider generalization bounds for two types of neural structures, feedforward Rectified Linear Unit (ReLU) networks, special types of neural Ordinary Differential Equations (ODE) and State Space Models (SSM). Calculating the Rademacher complexity of both models involves computationally expensive norm calculations therefore we propose techniques to compute them efficiently.
One of the most successful treatments in cancer therapy is proton therapy, with radiation planning being a key element. Photon CT is commonly used for this purpose; however, it does not provide sufficiently accurate information about the range of protons. Therefore, proton CT imaging is more favorable for radiation planning. Due to the Coulomb scattering of protons, it is important to...
Hadron therapy is a form of cancer therapy, where we aim to destroy those cancerous cells that are hard to reach with surgery. Since this kind of approach differs from the classical gamma radiation therapy, the tomography methods used for that are not sufficient enough for Hadron Therapy . Proton Computed Tomography (pCT) is developed to achieve more accurate results for this kind of...
Small square grids presented in bit matrices representing occupied sites and some neighborhood definition, like von Neumann, Moore or hexagonal neigborhood, arise in various Monte Carlo simulations and connection games. High speed testing of a very large number of such grids for connection between the opposite edges of the grid under the given neighborhood is often reqired. Because of the...
Recent advances in laser technology and nanoplasmonics, combined with heavy-ion collisions leads to a new, previously untamed road towards fusion energy production research. Here we explore recent advances in the theoretical, simulation part of the NAno-Plasmonic Laser Inertial confinement Fusion Experiment (NAPLIFE). We study how gold nanoparticle doping enhances medium absorption under laser...