Results 41 to 50 of about 111,307 (278)

Analytic Function Approximation by Path-Norm-Regularized Deep Neural Networks

Entropy, 2022
We show that neural networks with an absolute value activation function and with network path norm, network sizes and network weights having logarithmic dependence on 1/ε can ε-approximate functions that are analytic on certain regions of Cd.
Aleksandr Beknazaryan
doaj   +1 more source

On matrix norms and logarithmic norms

Numerische Mathematik, 1975
LetA be a complexn×n matrix, letr(A) denote the spectral radius ofA and let ?(A) denote the spectral abscissa ofA. If ? is a norm onC n , we denote by lub? the matrix norm subordinate to ? and by? ? the logarithmic norm corresponding to ?. New proofs are given for the following two relations:r(A)=inf lub? A and ?(A)=inf? ?
openaire   +2 more sources

Screening and epitope characterization of Nidogen‐2‐specific nanobodies

FEBS Open Bio, EarlyView.
Camel immunization and phage display were employed to generate high‐affinity VHH nanobodies against Nidogen‐2. After library construction, biopanning, ELISA screening, sequencing, and recombinant expression, selected nanobodies were purified and characterized, leading to the preliminary exploration of a nanobody‐based sandwich ELISA for specific ...
Jianchuan Wen, Qianqian Cui, Zhongyun Lan, Yingjun Wang, Shuaiying Zhao, Wenxuan Feng, Yunfeng Liu, Qiting Huang, Dongna Zhang, Jianfeng Xu   +9 more
wiley   +1 more source

ON APPLYING THE CONTINUOUS OPERATOR METHOD TO SOLVE THE DIRECT PROBLEM FOR NONLINEAR PARABOLIC EQUATIONS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
doaj   +1 more source

Generalized Weighted Composition Operators From Logarithmic Bloch Type Spaces to $ n $'th Weighted Type Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2019
Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$'th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D})
Kobra Esmaeili
doaj   +1 more source

Complementarity of Long‐Reads and Optical Mapping in Parkinson's Disease for Structural Variants

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Long‐read sequencing and optical genome mapping technologies have the ability to detect large and complex structural variants. This has led to the discovery of novel pathogenic variants in neurodegenerative movement disorders. Thus, we aimed to systematically compare the SV detection capabilities of OGM and ONT in Parkinson's disease.
André Fienemann, Theresa Lüth, Susen Schaake, Carolin Gabbert, Marius Möller, Hauke Busch, Katja Lohmann, Jonas A. Gustafson, Danny E. Miller, Kensuke Daida, Manabu Funayama, Nobutaka Hattori, Samia Ben Sassi, Faycel Hentati, Matthew J. Farrer, Kristian K. Ullrich, Christine Klein, Joanne Trinh   +17 more
wiley   +1 more source

Logarithmic operators in $c=0$ bulk CFTs

SciPost Physics
We study Kac operators (e.g. energy operator) in percolation and self-avoiding walk bulk CFTs with central charge $c=0$. The proper normalizations of these operators can be deduced at generic $c$ by requiring the finiteness and reality of the three-point
Yifei He
doaj   +1 more source

Approximating Hamiltonian dynamics with the Nyström method [PDF]

Quantum, 2020
Simulating the time-evolution of quantum mechanical systems is BQP-hard and expected to be one of the foremost applications of quantum computers. We consider classical algorithms for the approximation of Hamiltonian dynamics using subsampling methods ...
Alessandro Rudi, Leonard Wossnig, Carlo Ciliberto, Andrea Rocchetto, Massimiliano Pontil, Simone Severini   +5 more
doaj   +1 more source

MOGAD Is the Most Common Cause of Isolated Optic Neuritis in Children

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives The study aimed to characterize the clinical features, etiologies, and outcomes of isolated, first‐time pediatric ON in the post‐MOG‐IgG era. Methods This was a single‐center retrospective cohort study at Texas Children's Hospital of patients diagnosed with first‐time ON between 2018–2024, with follow‐up data collected through 2025.
Chaitanya Aduru, Akansha Chandrasekar, Kyla Blasingame, Jonathan Rosen, Jesse M. Levine, Karla Salazar, Madhuri Chilakapati, Rod Foroozan, Victoria Hardwick, Jonathan M. Yarimi, Nikita Shukla, Timothy E. Lotze, Kristen S. Fisher, Alexander J. Sandweiss   +13 more
wiley   +1 more source

Synthesis of a Novel Thermoresponsive S53P4 Bioactive Glass Extract–Poloxamer 407 Injectable Hydrogels: Assessment of Biocompatibility and Antimicrobial Properties

Advanced Engineering Materials, EarlyView.
This study investigates innovative thermoreversible hydrogels derived from S53P4 bioactive glass extracts to aid in the healing of infected diabetic foot wounds. These injectable gels, which gel at body temperature, release beneficial ions and remain stable over time.
Marian G. Vargas Guerrero, Adrian Stiller, Alex Nygård, Matej Krivulka, Lars Galema, Erwin Peters, Jimmy Lucchesi, Peter Uppstu, Leena Hupa, Jacobus J. C. Arts   +9 more
wiley   +1 more source