Results 71 to 80 of about 100,994 (269)

Deformable Attention Multiscale Feature Fusion Network‐Dehaze: An Adaptive Image Dehazing Method Based on Deformable Attention Multiscale Fusion Network

Advanced Intelligent Systems, EarlyView.
This paper presents the deformable attention multiscale feature fusion network‐dehaze adaptive image dehazing network, which integrates three core modules (revised residual shrinkage unit, multiscale attention, cross‐scale feature fusion). It incorporates deformable convolution and multiscale attention mechanisms to address the detail loss issue of ...
Ruipeng Wang, Yajun Chen, Hao Liu, Mingrui Li, Zhiqi Li   +4 more
wiley   +1 more source

Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker–Planck equation

Comptes Rendus. Mathématique
We study the exact controllability of the evolution equation \begin{equation*} u^{\prime }(t)+Au(t)+p(t)Bu(t)=0 \end{equation*} where $A$ is a nonnegative self-adjoint operator on a Hilbert space $X$ and $B$ is an unbounded linear operator on $X ...
Alabau-Boussouira, Fatiha, Cannarsa, Piermarco, Urbani, Cristina   +2 more
doaj   +1 more source

On the mutual information in conformal field theory

Journal of High Energy Physics, 2017
In this work, we study the universal behaviors in the mutual information of two disjoint spheres in a conformal field theory (CFT). By using the operator product expansion of the spherical twist operator in terms of the conformal family, we show that the
Bin Chen, Lin Chen, Peng-xiang Hao, Jiang Long   +3 more
doaj   +1 more source

Rational Wave Solutions and Dynamics Properties of the Generalized (2+1)-Dimensional Calogero-Bogoyavlenskii-Schiff Equation by Using Bilinear Method

Advances in Mathematical Physics, 2021
Through symbolic computation with Maple, fifty-seven sets of rational wave solutions to the generalized Calogero-Bogoyavlenskii-Schiff equation are presented by employing the generalized bilinear operator when the parameter p=2. Via the three-dimensional
Lihui Han, Sudao Bilige, Xiaomin Wang, Meiyu Li, Runfa Zhang   +4 more
doaj   +1 more source

Boundedness of Bilinear Operators with nonsmooth symbols [PDF]

Mathematical Research Letters, 2000
The authors consider the following bilinear operator associated to a closed one-sided cone \(\Gamma\) with vertex at the origin and to a multiplier \(m\), \[ C_\Gamma(f, g)= \int_\Gamma m(\xi, n)\widehat f(\xi)\widehat g(\eta) e^{2\pi ix(\xi+ \eta)}d\xi d\eta. \] The main result establishes conditions on the multiplier \(m\), that it is allowed to have
Gilbert, John, Nahmod, Andrea
openaire   +1 more source

Hierarchical Complementary Enhanced Autoencoder Integrating Spatio‐Temporal Interaction Feature for Soft Sensor

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT To address the issues of neglecting the spatiotemporal correlations among process variables, low‐level features are vulnerable to noise interference, and the gradual loss of key information layer by layer during deep network training in traditional stacked autoencoder‐based soft‐sensor models, this paper proposes a hierarchical complementary ...
Xiaoping Guo, Jinghong Guo, Yuan Li
wiley   +1 more source

The nonexistence of rank 4 IP tensors in signature (1,3)

International Journal of Mathematics and Mathematical Sciences, 2002
Let V be a real vector space of dimension 4 with a nondegenerate symmetric bilinear form of signature (1,3). We show that there exists no algebraic curvature tensor R on V so that its associated skew-symmetric operator R(⋅) has rank 4 and constant ...
Kelly Jeanne Pearson, Tan Zhang
doaj   +1 more source

Differential-difference system related to toroidal Lie algebra

, 2001
We present a novel differential-difference system in (2+1)-dimensional space-time (one discrete, two continuum), arisen from the Bogoyavlensky's (2+1)-dimensional KdV hierarchy.
Bogoyavlensky O I, Calogero F, Date E, Ikeda T, Iohara K, Jimbo M, Kakei S, Miwa T, Moody R V, Oikawa M, Saburo Kakei, Sato M, Sato M, Yasuhiro Ohta, Yu Song-Ju   +14 more
core   +2 more sources

Bilinear Weighted Inequalities with Volterra Integral Operators

Doklady Mathematics, 2019
Necessary and sufficient conditions on the boundedness in weighted Lebesgue spaces on the semiaxis for bilinear inequalities with Volterra integral operators are given.
Stepanov V.D., Shambilova G.E.
openaire   +4 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source