Category: 7. Maths
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Quantifying the effect of isolation and negative certification on COVID-19 transmission
Non-infection probability under a negative PCR test result on both day 0 and day k The non-infection probabilities under a negative PCR test result on both day 0 and day k are presented in the following clauses. Only for the case where \(k=1\), the detailed derivation is shown in the Supplementary information, and the cases…
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Researcher turns one of the basic rules of construction upside down — ScienceDaily
An Aston University researcher has turned one of the basic rules of construction on its head. For centuries a hanging chain has been used as an example to explain how masonry arches stand. Structural engineers are familiar with seventeenth-century scientist Robert Hooke’s theory that a hanging chain will mirror the shape of an upstanding rigid…
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polyBERT: a chemical language model to enable fully machine-driven ultrafast polymer informatics
Plastics Europe. https://plasticseurope.org/knowledge-hub/plastics-the-facts-2021/. Batra, R., Song, L. & Ramprasad, R. Emerging materials intelligence ecosystems propelled by machine learning. Nat. Rev. Mater. 6, 655–678 (2021). Article Google Scholar Chen, L. et al. Polymer informatics: Current status and critical next steps. Mater. Sci. Eng.: R: Rep. 144, 100595 (2021). Article Google Scholar Audus, D. J. & de…
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Persistent Dirac for molecular representation
In this section, we discuss the discrete Dirac models, including discrete Dirac matrices and weighted Dirac matrices for biomolecular structure representation and characterization. Different from previous graph-based models, molecular structures are represented based on simplicial complexes, and algebraic tools from chain groups, homology groups, boundary operators and Dirac matrices, are used to reveal deeper geometric…
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Derivation of mathematical closed form expressions for certain irregular topological indices of 2D nanotubes
Iijima, S. Helical microtubules of graphitic carbon. Nature 354, 56–58 (1991). Article CAS Google Scholar Liu, J.-B. & Zhao, B.-Y. Study on environmental efficiency of Anhui province based on SBM-DEA model and fractal theory. Fractals https://doi.org/10.1142/S0218348X23400728 (2023). Article Google Scholar Liu, J.-B., Peng, X.-B. & Zhao, J. Analyzing the spatial association of household consumption carbon…
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Direct numerical simulation of an unsteady wall-bounded turbulent flow configuration for the assessment of large-eddy simulation models
Direct Numerical Simulation of the TGV and the WTGV were performed at different grid-resolution levels to establish grid-convergence on the finest grid. While the required DNS-resolution for the TGV is known due to studies by e.g. Brachet et al.14,15, the consideration of walls adds turbulence production at the walls to the system, which increases the…
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Quantum computing for finance | Nature Reviews Physics
Shreve, S. E. Stochastic Calculus for Finance I (Springer New York, 2004). Alexeev, Y. et al. Quantum computer systems for scientific discovery. PRX Quantum 2, 017001 (2021). Glasserman, P. Monte Carlo Methods in Financial Engineering, Vol. 53 (Springer, 2004). Egger, D. J. et al. Quantum computing for finance: state-of-the-art and future prospects. IEEE Trans. Quantum…
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Transfer-learning is a key ingredient to fast deep learning-based 4D liver MRI reconstruction
We divided the 20 subjects into a source domain S, containing 16 subjects, and a target domain T, containing 4 Subjects. In both S and T, we used the first half of each training sequence as training data and the second half as validation data. Model performance To quantitatively assess model performance and for statistical…
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Perceived realism of haptic rendering methods for bimanual high force tasks: original and replication study
The four haptic rendering methods were investigated using a with-in-subject study design. Every participant compared the real object on the left with the virtual one on the right in every rendering condition and in order of three tasks. The study design for the original and the replication study were identical. The experimental setup is described…
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Extended performance analysis of deep-learning algorithms for mice vocalization segmentation
In this section, the performance of the proposed architectures are presented. A k-fold cross validation has been performed over the training set for determining the optimal hyperparameters for each model, with \(k=5\). A binary cross-entropy has been adopted as loss function. The Adam optimizer with learning rate in the ranges from \(5\cdot 10^{-5}\) to \(10^{-7}\),…