Outputs (44)

Machine learning detects terminal singularities (2023)
Conference Proceeding
Kasprzyk, A. M., Coates, T., & Veneziale, S. (2023). Machine learning detects terminal singularities. In Advances in Neural Information Processing Systems (NeurIPS 2023)

Algebraic varieties are the geometric shapes defined by systems of polynomial equations; they are ubiquitous across mathematics and science. Amongst these algebraic varieties are Q-Fano varieties: positively curved shapes which have Q-factorial termi... Read More about Machine learning detects terminal singularities.

The Need for a Symbiotic Interface for a Digital Twin (2023)
Conference Proceeding
Palmer, C., Goh, Y. M., Hubbard, E., Grant, R., & Houghton, R. (2023). The Need for a Symbiotic Interface for a Digital Twin. In Leveraging transdisciplinary engineering in a changing and connected world : proceedings of the 30th ISTE international conference on transdisciplinary engineering (873 - 882). https://doi.org/10.3233/ATDE230685

Human interaction with a Digital Twin is an emerging concept for which there are no common definitions. This paper considers the various types of human interaction with Digital Twins. There is very little research considering human cognitive interact... Read More about The Need for a Symbiotic Interface for a Digital Twin.

Toric Sarkisov Links of Toric Fano Varieties (2023)
Conference Proceeding
Brown, G., Buczyński, J., & Kasprzyk, A. (2023). Toric Sarkisov Links of Toric Fano Varieties. In Birational Geometry, Kähler–Einstein Metrics and Degenerations: Moscow, Shanghai and Pohang, April–November 2019 (129-144). https://doi.org/10.1007/978-3-031-17859-7_6

We explain a web of Sarkisov links that overlies the classification of Fano weighted projective spaces in dimensions 3 and 4, extending results of Prokhorov.

Normalisation of Action Potential Data Recorded with Sharp Electrodes Maximises Its Utility for Model Development (2022)
Conference Proceeding
Barral, Y. S. H., Polonchuk, L., R. Mirams, G., Clerx, M., Page, G., Sweat, K., …Gavaghan, D. J. (2022). Normalisation of Action Potential Data Recorded with Sharp Electrodes Maximises Its Utility for Model Development. In Computing in Cardiology 2022. https://doi.org/10.22489/cinc.2022.356

In silico models of cardiomyocyte electrophysiology describe the various ionic currents and fluxes that lead to the formation of action potentials (APs). Experimental data used to create such models can be recorded in adult human cardiac trabeculae u... Read More about Normalisation of Action Potential Data Recorded with Sharp Electrodes Maximises Its Utility for Model Development.

Modelling the Effect of Intracellular Calcium in the Rundown of L-Type Calcium Current (2022)
Conference Proceeding
Agrawal, A., Clerx, M., Wang, K., Polonchuk, L., Gavaghan, D. J., & Mirams, G. R. (2022). Modelling the Effect of Intracellular Calcium in the Rundown of L-Type Calcium Current. In 2022 Computing in Cardiology (CinC). https://doi.org/10.22489/CinC.2022.051

The L-type calcium current (ICaL) is a key current of the heart playing an important role in the contraction of the cardiomyocyte. Patch-clamp recordings of ionic currents can be associated with a reduction of the current magnitude with time (termed... Read More about Modelling the Effect of Intracellular Calcium in the Rundown of L-Type Calcium Current.

Adjoint-aided inference of Gaussian process driven differential equations (2022)
Conference Proceeding
Gahungu, P., Lanyon, C. W., Álvarez, M. A., Smith, M. T., & Wilkinson, R. D. (2022). Adjoint-aided inference of Gaussian process driven differential equations. In S. Koyejo, S. Mohamed, A. Agarwal, D. Belgrave, K. Cho, & A. Oh (Eds.), Advances in Neural Information Processing Systems 35 (NeurIPS 2022)

Linear systems occur throughout engineering and the sciences, most notably as differential equations. In many cases the forcing function for the system is unknown, and interest lies in using noisy observations of the system to infer the forcing, as w... Read More about Adjoint-aided inference of Gaussian process driven differential equations.

Tunable Graphene-based Metasurfaces for Multi-Wideband 6G Communications (2022)
Conference Proceeding
Taghvaee, H., Pitilakis, A., Tsilipakos, O., Tasolamprou, A. C., Kantartzis, N. V., Kafesaki, M., …Gradoni, G. (2022). Tunable Graphene-based Metasurfaces for Multi-Wideband 6G Communications. In 2022 Sixteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials) (X434-X436). https://doi.org/10.1109/metamaterials54993.2022.9920752

The next generation of wireless communications within the framework of 6G will be operational at the low THz frequency band. Although THz systems will dramatically enhance several performance indicators such as the data rate, spectral efficiency, and... Read More about Tunable Graphene-based Metasurfaces for Multi-Wideband 6G Communications.

On the Fine Interior of Three-Dimensional Canonical Fano Polytopes (2022)
Conference Proceeding
Batyrev, V., Kasprzyk, A., & Schaller, K. (2022). On the Fine Interior of Three-Dimensional Canonical Fano Polytopes. In Interactions with Lattice Polytopes (11-47). https://doi.org/10.1007/978-3-030-98327-7_2

The Fine interior ∆FI of a d-dimensional lattice polytope ∆ is a rational subpolytope of ∆ which is important for constructing minimal birational models of non-degenerate hypersurfaces defined by Laurent polynomials with Newton polytope ∆. This paper... Read More about On the Fine Interior of Three-Dimensional Canonical Fano Polytopes.

Interactions with Lattice Polytopes (2022)
Conference Proceeding
(2022). Interactions with Lattice Polytopes. In A. M. Kasprzyk, & B. Nill (Eds.), Interactions with Lattice Polytopes. https://doi.org/10.1007/978-3-030-98327-7

This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symm... Read More about Interactions with Lattice Polytopes.

Differential privacy over Riemannian manifolds (2021)
Conference Proceeding
Reimherr, M., Bharath, K., & Soto, C. (2021). Differential privacy over Riemannian manifolds.

In this work we consider the problem of releasing a differentially private statistical summary that resides on a Riemannian manifold. We present an extension of the Laplace or K-norm mechanism that utilizes intrinsic distances and volumes on the mani... Read More about Differential privacy over Riemannian manifolds.