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Outputs (219)

Logic Differential Calculus for Reliability Analysis Based on Survival Signature (2022)
Journal Article
Rusnak, P., Zaitseva, E., Coolen, F., Kvassay, M., & Levashenko, V. (2023). Logic Differential Calculus for Reliability Analysis Based on Survival Signature. IEEE Transactions on Dependable and Secure Computing, 20(2), 1529-1540. https://doi.org/10.1109/tdsc.2022.3159126

The structure function is an often-used mathematical representation of the investigated system in reliability analysis. It is a binary function that models system state according to states of its components. The size of the structure function depends... Read More about Logic Differential Calculus for Reliability Analysis Based on Survival Signature.

The impact of alternative delivery strategies for novel tuberculosis vaccines in low- and middle-income countries: a modelling study (2022)
Journal Article
Clark, R. A., Mukandavire, C., Portnoy, A., Weerasuriya, C. K., Deol, A., Scarponi, D., …White, R. G. (2022). The impact of alternative delivery strategies for novel tuberculosis vaccines in low- and middle-income countries: a modelling study. The Lancet Global Health, 11(4), https://doi.org/10.1101/2022.04.16.22273762

Background Tuberculosis is a leading infectious cause of death worldwide. Novel vaccines will be required to reach global targets and reverse setbacks resulting from the COVID-19 pandemic. We estimated the impact of novel tuberculosis vaccines in low... Read More about The impact of alternative delivery strategies for novel tuberculosis vaccines in low- and middle-income countries: a modelling study.

Friezes for a pair of pants (2022)
Journal Article
Canakci, I., Garcia Elsener, A., Felikson, A., & Tumarkin, P. (2022). Friezes for a pair of pants. Séminaire lotharingien de combinatoire, 86B, Article 32

Frieze patterns are numerical arrangements that satisfy a local arithmetic rule. These arrangements are actively studied in connection to the theory of cluster algebras. In the setting of cluster algebras, the notion of a frieze pattern can be genera... Read More about Friezes for a pair of pants.

The universal tropicalization and the Berkovich analytification (2022)
Journal Article
Giansiracusa, J., & Giansiracusa, N. (2022). The universal tropicalization and the Berkovich analytification. Kybernetika (Prague. On-line), 58(5), 790-815. https://doi.org/10.14736/kyb-2022-5-0790

Given an integral scheme X over a non-archimedean valued field k, we construct a universal closed embedding of X into a k-scheme equipped with a model over the field with one element F1 (a generalization of a toric variety). An embedding into such an... Read More about The universal tropicalization and the Berkovich analytification.

Denoising Diffusion Probabilistic Models on SO(3) for Rotational Alignment (2022)
Presentation / Conference Contribution
Leach, A., Schmon, S. M., Degiacomi, M. T., & Willcocks, C. G. (2022). Denoising Diffusion Probabilistic Models on SO(3) for Rotational Alignment.

Probabilistic diffusion models are capable of modeling complex data distributions on high-dimensional Euclidean spaces for a range applications. However, many real world tasks involve more complex structures such as data distributions defined on mani... Read More about Denoising Diffusion Probabilistic Models on SO(3) for Rotational Alignment.

Preventing cardiotoxicity in patients with breast cancer and lymphoma: protocol for a multicentre randomised controlled trial (PROACT) (2022)
Journal Article
Maier, R. H., Plummer, C., Kasim, A. S., Akhter, N., Ogundimu, E., Maddox, J., …Austin, D. (2022). Preventing cardiotoxicity in patients with breast cancer and lymphoma: protocol for a multicentre randomised controlled trial (PROACT). BMJ Open, 12(12), Article e066252. https://doi.org/10.1136/bmjopen-2022-066252

Introduction: Anthracyclines are included in chemotherapy regimens to treat several different types of cancer and are extremely effective. However, it is recognised that a significant side effect is cardiotoxicity; anthracyclines can cause irreversib... Read More about Preventing cardiotoxicity in patients with breast cancer and lymphoma: protocol for a multicentre randomised controlled trial (PROACT).

Modular graph forms from equivariant iterated Eisenstein integrals (2022)
Journal Article
Dorigoni, D., Doroudiani, M., Drewitt, J., Hidding, M., Kleinschmidt, A., Matthes, N., …Verbeek, B. (2022). Modular graph forms from equivariant iterated Eisenstein integrals. Journal of High Energy Physics, 2022(12), Article 162. https://doi.org/10.1007/jhep12%282022%29162

The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differential and number-theoretic properties motivated Brown’s alternative co... Read More about Modular graph forms from equivariant iterated Eisenstein integrals.

Rigidity properties of the hypercube via Bakry–Émery curvature (2022)
Journal Article
Liu, S., Münch, F., & Peyerimhoff, N. (2022). Rigidity properties of the hypercube via Bakry–Émery curvature. Mathematische Annalen, https://doi.org/10.1007/s00208-022-02537-y

We give rigidity results for the discrete Bonnet–Myers diameter bound and the Lichnerowicz eigenvalue estimate. Both inequalities are sharp if and only if the underlying graph is a hypercube. The proofs use well-known semigroup methods as well as new... Read More about Rigidity properties of the hypercube via Bakry–Émery curvature.