Analytical and numerical properties of an extended angiogenesis PDEs model. [PDF]
De Luca P, Marcellino L.
europepmc +1 more source
A characterisation of snowflakes via rectifiability
Abstract We prove a generalisation to every metric space of Tyson–Wu's characterisation of metric spaces biLipschitz equivalent to snowflakes, by removing compactness, doubling and embeddability assumptions. We also characterise metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non‐trivial metric 1‐currents in ...
Emanuele Caputo, Nicola Cavallucci
wiley +1 more source
Explanation Beyond Individual Features: Instance-wise Feature Grouping for EHR Predictive Analytics. [PDF]
Cheong CW, Yin K, Cheung WK, Tsang I.
europepmc +1 more source
Schauder estimates for parabolic p$p$‐Laplace systems
Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions u:ET→Rk$u\colon E_T\rightarrow \mathbb {R}^k$ to the nonlinear system of parabolic type ∂tu−div(a(x,t)μ2+|Du|2p−22Du)=0inET,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein +4 more
wiley +1 more source
Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions. [PDF]
Quattrocchi F.
europepmc +1 more source
The fractional Lipschitz caloric capacity of Cantor sets
Abstract We characterize the s$s$‐parabolic Lipschitz caloric capacity of corner‐like s$s$‐parabolic Cantor sets in Rn+1$\mathbb {R}^{n+1}$ for 1/2
Joan Hernández
wiley +1 more source
Mitigating catastrophic forgetting in lifelong learning: a hybrid architecture integrating neural ordinary differential equations with memory-augmented transformers. [PDF]
Zhou S, Li Q.
europepmc +1 more source
Coding and anticoding of a cardinal by bounded subsets of the cardinal
Abstract This paper will consider combinatorial properties related to coding a cardinal by its bounded subsets. These properties have traditionally been studied in the context of very large cardinals and variations of these properties either reach the level of Kunen inconsistency or are very close to it.
William Chan
wiley +1 more source
A Positive Semidefinite Safe Approximation of Multivariate Distributionally Robust Constraints Determined by Simple Functions. [PDF]
Dienstbier J, Liers F, Rolfes J.
europepmc +1 more source
The weak (1,1) boundedness of Fourier integral operators with complex phases
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source

