Results 61 to 70 of about 9,940 (191)
Some Types of Convergence for Negatively Dependent Random Variables under Sublinear Expectations
In this paper, we research complete convergence and almost sure convergence under the sublinear expectations. As applications, we extend some complete and almost sure convergence theorems for weighted sums of negatively dependent random variables from ...
Ruixue Wang, Qunying Wu
doaj +1 more source
This contribution extends linear models for feature vectors to sublinear models for graphs and analyzes their properties. The results are (i) a geometric interpretation of sublinear classifiers, (ii) a generic learning rule based on the principle of empirical risk minimization, (iii) a convergence theorem for the margin perceptron in the sublinearly ...
openaire +3 more sources
Existence of solutions for sublinear equations on exterior domains
In this article we consider the radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius $R>0$, $B_{R}$, centered at the origin in ${\mathbb R}^N$ with $u=0$ on $\partial B_{R}$ and $\lim_{r \to \infty} u(r)=0$ where $N>2$, $
Joseph A. Iaia
doaj
A self‐powered photodetector using a static water–ZnO interface forms a Schottky‐like photovoltaic junction for ultra‐low‐light sensing. It delivers strong photoresponse, 360° detection, and flexibility, advancing transparent and sustainable water‐based optoelectronics.
Sanh Vo Thi +7 more
wiley +1 more source
Sublinear expectations for countable-state uncertain processes
Sublinear expectations for uncertain processes have received a lot of attention recently, particularly methods to extend a downward-continuous sublinear expectation on the bounded finitary functions to one on the non-finitary functions.
Erreygers, Alexander
core +1 more source
This article concerns the fractional Schrodinger type equations $$ (-\Delta)^\alpha u+V(x)u =f(x,u) \quad\text{in } \mathbb{R}^N, $$ where $N\geq 2$, $\alpha\in(0,1)$, $(-\Delta)^\alpha$ stands for the fractional Laplacian, $V$ is a positive ...
Gang-Ling Hou, Bin Ge, Jian-Fang Lu
doaj
Existence of positive solutions for fractional Laplacian equations: theory and numerical experiments
We consider a class of nonlinear fractional Laplacian problems satisfying the homogeneous Dirichlet condition on the exterior of a bounded domain. We prove the existence of positive weak solution for classes of sublinear nonlinearities including ...
Maya Chhetri +2 more
doaj
Learning Concepts Definable in First-Order Logic with Counting [PDF]
We study Boolean classification problems over relational background structures in the logical framework introduced by Grohe and Turán (TOCS 2004). It is known (Grohe and Ritzert, LICS 2017) that classifiers definable in first-order logic over structures ...
Steffen van Bergerem
doaj +1 more source
Conventional imaging systems often struggle to recognize objects accurately in challenging environments such as underwater or foggy scenes. We developed a polarization‐sensitive artificial vision device inspired by the mantis shrimp that uses advanced two‐dimensional materials and a ferroelectric layer to directly sense, process, and retain visual ...
Zhaoying Dang +8 more
wiley +1 more source
ON INFINITESIMAL GENERATORS OF SUBLINEAR MARKOV SEMIGROUPS [PDF]
We establish a Dynkin formula and a Courr`ege-vonWaldenfels theorem for sublinear Markov semigroups. In particular, we show that any sublinear operator A on C^∞_c (R^d) satisfying the positive maximum principle can be represented as supremum of a family ...
Kühn, Franziska
core +2 more sources

