A priori bounds for the generalised parabolic Anderson model
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
Nonadditive Entropies and Nonextensive Statistical Mechanics. [PDF]
Tirnakli U.
europepmc +1 more source
Alignment of the Starlings: Learning With Generative AI
ABSTRACT I will argue that answers to normative questions concerning the place of generative AI in learning rest on answers to ontological questions regarding (1) precisely what is happening when a human ‘interacts’ with generative AI and (2) What is distinctive about organic learning as opposed to currently existing ‘machine learning’ (3) What is the ...
Sean Watson
wiley +1 more source
Quantum-like representation of neuronal networks' activity: modeling "mental entanglement". [PDF]
Khrennikov A, Yamada M.
europepmc +1 more source
Optimizing Detection Schemes for Broadband Pump‐Probe Microscopy
Small spot sizes and broadband spectral coverage create unusual noise challenges for broadband pump‐probe microscopy. Analysis of probe and detector noise characteristics can provide strategies for mitigating these challenges. ABSTRACT Although similar to more commonly implemented single wavelength approaches, broadband pump‐probe or transient ...
Kendall Benton +3 more
wiley +1 more source
Standardized quantum transistor block enables differentiable learning on gait dynamics. [PDF]
Villalba-Díez J, Ordieres-Meré J.
europepmc +1 more source
Artificial intelligence streamlines scientific discovery of drug–target interactions
Abstract Drug discovery is a complicated process through which new therapeutics are identified to prevent and treat specific diseases. Identification of drug–target interactions (DTIs) stands as a pivotal aspect within the realm of drug discovery and development. The traditional process of drug discovery, especially identification of DTIs, is marked by
Yuxin Yang, Feixiong Cheng
wiley +1 more source
Understanding zoonotic disease spread with a fractional order epidemic model. [PDF]
Althubyani M +6 more
europepmc +1 more source
Distance‐Dependent Energy Transfer Between Organic Fluorophores and Single‐Walled Carbon Nanotubes
We demonstrate that the dsDNA part adopts a perpendicular orientation to the SWCNT and present a distance‐dependent energy transfer of single fluorescent dyes to SWCNTs. Carbon nanotube energy transfer (CNET) obeys a d−5 distance dependence with a characteristic distance of 7.4 nm (± 0.7 nm) for 50 % energy transfer.
Izabela Kamińska +7 more
wiley +1 more source
Dynamic analysis of a Caputo fractional-order SEIR model with a general incidence rate. [PDF]
Xu S, Hu Y.
europepmc +1 more source

