Results 51 to 60 of about 100,496 (301)

Evaluating the Utilities of Foundation Models in Single‐Cell Data Analysis

open access: yesAdvanced Science, EarlyView.
This study delivers the first systematic, task‐level evaluation of single‐cell foundation models across eight core analytical tasks. By benchmarking 10 leading models with the scEval framework, it reveals where foundation models truly add value, where task‐specific methods still dominate, and provides concrete, reproducible guidelines to steer the next
Tianyu Liu   +4 more
wiley   +1 more source

Identities Involving q-Bernoulli and q-Euler Numbers

open access: yesAbstract and Applied Analysis, 2012
We give some identities on the q-Bernoulli and q-Euler numbers by using p-adic integral equations on ℤp.
D. S. Kim, T. Kim, J. Choi, Y. H. Kim
doaj   +1 more source

Backward stochastic variational inequalities on random interval

open access: yes, 2015
The aim of this paper is to study, in the infinite dimensional framework, the existence and uniqueness for the solution of the following multivalued generalized backward stochastic differential equation, considered on a random, possibly infinite, time ...
Maticiuc, Lucian, Răşcanu, Aurel
core   +1 more source

One-dimensional wave equations defined by fractal Laplacians [PDF]

open access: yes, 2014
We study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians are defined by fractal measures generated by iterated function systems with overlaps, such as the well-known infinite Bernoulli convolution associated with
Chan, John Fun-Choi   +2 more
core   +1 more source

Inherently Disordered Auxetic Metamaterials

open access: yesAdvanced Science, EarlyView.
Inherently disordered auxetic metamaterials based on random chiral Delaunay triangulations are designed and investigated using numerical simulations and experimental tests. These disordered frameworks exhibit orthotropic behavior and a large negative Poisson's ratio (ca.
Matteo Montanari   +3 more
wiley   +1 more source

Bernoulli Wavelets Method for Solution of Fractional Differential Equations in a Large Interval

open access: yesپژوهش‌های ریاضی, 2016
In this paper, Bernoulli wavelets are presented for solving (approximately) fractional differential equations in a large interval. Bernoulli wavelets operational matrix of fractional order integration is derived and utilized to reduce the fractional ...
E Keshavarz, Y Ordokhani
doaj  

Transportation inequalities for stochastic differential equations driven by a fractional Brownian motion

open access: yes, 2012
We establish Talagrand's $T_1$ and $T_2$ inequalities for the law of the solution of a stochastic differential equation driven by a fractional Brownian motion with Hurst parameter $H>1/2$.
Saussereau, Bruno
core   +1 more source

Graphene‐Skinned Alumina Fiber: Continuously Scalable Fabrication and Its Electrothermal Application in Fiber‐Reinforced Polymer Composites

open access: yesAdvanced Science, EarlyView.
Graphene‐skinned alumina fiber (GAF) is a new composite with graphene conformally grown on individual alumina fibers via chemical vapor deposition (CVD). GAF's dynamic, continuous and scalable production is achieved by using a home‐made roll‐to‐roll (RTR) CVD system featuring integrated degumming and growth chambers. GAF possesses tunable conductivity,
Xiaobai Wang   +13 more
wiley   +1 more source

Comparative Spectral Analysis of Flexible Structure Models: the Euler-Bernoulli Beam model, the Rayleigh Beam model, and the Timoshenko Beam Model [PDF]

open access: yes, 2017
We derive herein approximate spectra for three dierent models of transversely vibrating, beams. Each model consists of a system of partial dierential equations (PDEs) with various, boundary conditions.
Nguyen, Anhhong Rose
core   +2 more sources

PAIR: Reconstructing Single‐Cell Open‐Chromatin Landscapes for Transcription Factor Regulome Mapping

open access: yesAdvanced Science, EarlyView.
scATAC‐seq analysis is often constrained by limited sequencing depth, extreme sparsity, and pervasive technical missingness. PAIR is a probabilistic framework that restores scATAC‐seq accessibility profiles by directly modeling the native cell–peak bipartite structure of chromatin accessibility.
Yanchi Su   +7 more
wiley   +1 more source

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