Computing Rate-Distortion Functions of Continuous Memoryless Sources via Discrete Algorithms: An Integrated Scheme with Convergence Guarantee and Algorithmic Acceleration. [PDF]
Chen L +5 more
europepmc +1 more source
A Machine Learning Framework for Assessing Systemic Societal Vulnerability to Coastal Flooding
ABSTRACT Vulnerability indices are increasingly used to understand why coastal urban communities experience differential flood impacts. However, they are criticised for subjective indicator selection, weighting and aggregation, which rely on researcher judgement and rarely integrate uncertainty.
Adesola Akindejoye +3 more
wiley +1 more source
Grüss-type inequalities involving functional bounds via analytic kernel fractional integral. [PDF]
Neamah MK +3 more
europepmc +1 more source
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
A geometric function theoretic approach to MRI distortion correction using Miller Ross Poisson series. [PDF]
Manoj S, Keerthi BS.
europepmc +1 more source
The Role of Lightning in Atmospheric Chemistry
Abstract Lightning has important effects on atmospheric constituents in primarily the middle and upper troposphere. We summarize the effects of lightning on atmospheric chemistry that have been published since the last major review in 2007. The estimates of NOx production by lightning (LNOx) are based on five methods: theoretical/laboratory estimates ...
Kenneth E. Pickering +2 more
wiley +1 more source
Heat Conduction Model Based on the Explicit Euler Method for Non-Stationary Cases. [PDF]
Érchegyi A, Rácz E.
europepmc +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Experimentally Self-Testing Partially Entangled Two-Qubit States on an Optical Platform. [PDF]
Zhao X, Yang YH, Zhao LM, Luo MX.
europepmc +1 more source
Bidiagonal Decompositions and High‐Accuracy Computations for Newton Collocation Matrices
ABSTRACT We consider a class of collocation matrices A$$ A $$ associated with the Newton basis of the space of polynomials of degree at most n$$ n $$, evaluated at a set of l+1≥n+1$$ l+1\ge n+1 $$ nodes. In the most general setting, we allow n$$ n $$ of these nodes to either coincide with or differ from those defining the Newton basis.
E. Mainar, A. Marco, B. Rubio, R. Viaña
wiley +1 more source

