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Chapter and Conference Paper
A Quantitative Comparison of Causality and Feature Relevance via Explainable AI (XAI) for Robust, and Trustworthy Artificial Reasoning Systems
Challenges related to causal learning remain a major issue for artificial reasoning systems. Similar to other ML approaches, robust and trustworthy explainability is needed to support the underlying tasks. Thi...
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Article
Open AccessQuantitative proteomic screen identifies annexin A2 as a host target for Salmonella pathogenicity island-2 effectors SopD2 and PipB2
Intracellular pathogens need to establish an intracellular replicative niche to promote survival and replication within the hostile environment inside the host cell. Salmonella enterica serovar Typhimurium (S. Ty...
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Article
A rigidity theorem for ideal surfaces with flat boundary
We consider surfaces with boundary satisfying a sixth-order nonlinear elliptic partial differential equation corresponding to extremising the \(L^2\)L2-norm of the gradient of the mean curvature. We show that suc...
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Chapter
A Rigidity Theorem for Ideal Surfaces with Flat Boundary
We are interested in surfaces with boundary satisfying a sixth order non-linear elliptic partial differential equation associated with extremal surfaces of the L2-norm of the gradient of the mean curvature. We sh...
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Chapter
A Sixth Order Curvature Flow of Plane Curves with Boundary Conditions
We show that small energy curves under a particular sixth order curvature flow with generalised Neumann boundary conditions between parallel lines converge exponentially in the C ∞ topology in infinite time to st...
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Chapter
The Shrinking Figure Eight and Other Solitons for the Curve Diffusion Flow
In this article we investigate the dynamics of special solutions to the surface diffusion flow of idealised ribbons. This reduces to studying the curve diffusion flow for the profile curve of the ribbon. We pr...
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Article
The Shrinking Figure Eight and Other Solitons for the Curve Diffusion Flow
In this article we investigate the dynamics of special solutions to the surface diffusion flow of idealised ribbons. This reduces to studying the curve diffusion flow for the profile curve of the ribbon. We pr...
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Article
A classification theorem for Helfrich surfaces
In this paper we study the functional \(\mathcal W{} _{\lambda _1,\lambda _2}\) ...
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Article
Contracting convex hypersurfaces by curvature
We consider compact convex hypersurfaces contracting by functions of their curvature. Under the mean curvature flow, uniformly convex smooth initial hypersurfaces evolve to remain smooth and uniformly convex, ...
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Article
Lifespan theorem for constrained surface diffusion flows
We consider closed immersed hypersurfaces in \({\mathbb R^{3}}\) and
