Results 11 to 20 of about 12,023 (134)

Data‐driven performance metrics for neural network learning

International Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri, Mauro Gaggero, Marcello Sanguineti   +2 more
wiley   +1 more source

A stochastic sewing lemma and applications [PDF]

, 2020
We introduce a stochastic version of Gubinelli's sewing lemma, providing a sufficient condition for the convergence in moments of some random Riemann sums.
Lê, Khoa
core   +2 more sources

The Mañé–Conze–Guivarc'h lemma for intermittent maps of the circle [PDF]

, 2009
We study the existence of solutions g to the functional inequality f≤g T−g+β, where f is a prescribed continuous function, T is a weakly expanding transformation of the circle having an indifferent fixed point, and β is the maximum ergodic average of f ...
Barabanov, IAN D. MORRIS, Lopes
core   +1 more source

Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order [PDF]

, 2009
Pointwise estimates in variable exponent Sobolev spaces on quasi-metric measure spaces are investigated. Based on such estimates, Sobolev embeddings into Holder spaces with variable order are obtained.
Adams, Alexandre Almeida, Almeida, Almeida, Bojarski, Coifman, Coifman, DeVore, Diening, Diening, Edmunds, Edmunds, Fan, Futamura, Gatto, Gatto, Genebashvili, Guinsburg, Hajłasz, Hajłasz, Hajłasz, Harjulehto, Harjulehto, Harjulehto, Harjulehto, Harjulehto, Heinonen, Karapetyants, Karapetyants, Khabazi, Kinnunen, Kokilashvili, Kokilashvili, Kokilashvili, Macías, Mizuta, Nakai, Ross, Samko, Stefan Samko, Vakulov, Vakulov, Vakulov, Vakulov   +43 more
core   +2 more sources

H\"older regularity of the densities for the Navier--Stokes equations with noise [PDF]

, 2015
We prove that the densities of the finite dimensional projections of weak solutions of the Navier-Stokes equations driven by Gaussian noise are bounded and H\"older continuous, thus improving the results of Debussche and Romito [DebRom2014].
Romito, Marco
core   +2 more sources

A note on the Fourier transform in Hölder spaces [PDF]

, 2016
En este artículo, se estudia la acotación de la transformada periódica de Fourier desde espacios de Lebesgue a Espacios Hölder. Par- ticularmente, se generaliza un resultado clásico de Bernstein.
Cardona Sanchez, Duvan
core   +2 more sources

Infinite Dimensional Pathwise Volterra Processes Driven by Gaussian Noise -- Probabilistic Properties and Applications

, 2020
We investigate the probabilistic and analytic properties of Volterra processes constructed as pathwise integrals of deterministic kernels with respect to the H\"older continuous trajectories of Hilbert-valued Gaussian processes.
Benth, Fred E., Harang, Fabian A.
core   +1 more source

On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index

, 2018
Steady flows of an incompressible homogeneous chemically reacting fluid are described by a coupled system, consisting of the generalized Navier--Stokes equations and convection - diffusion equation with diffusivity dependent on the concentration and the ...
Abbatiello, Anna, Bulíček, Miroslav, Kaplický, Petr   +2 more
core   +1 more source

Sharp inequalities for one-sided Muckenhoupt weights

, 2016
Let $A_\infty ^+$ denote the class of one-sided Muckenhoupt weights, namely all the weights $w$ for which $\mathsf M^+:L^p(w)\to L^{p,\infty}(w)$ for some $p>1$, where $\mathsf M^+$ is the forward Hardy-Littlewood maximal operator.
Hagelstein, Paul A., Parissis, Ioannis, Saari, Olli   +2 more
core   +1 more source

Beyond digital twins: the role of foundation models in enhancing the interpretability of multiomics modalities in precision medicine

FEBS Open Bio, EarlyView.
This review highlights how foundation models enhance predictive healthcare by integrating advanced digital twin modeling with multiomics and biomedical data. This approach supports disease management, risk assessment, and personalized medicine, with the goal of optimizing health outcomes through adaptive, interpretable digital simulations, accessible ...
Sakhaa Alsaedi, Xin Gao, Takashi Gojobori   +2 more
wiley   +1 more source