Results 61 to 70 of about 81,230 (240)
Multilinear Operators: The Natural Extension Of Hirota's Bilinear Formalism
, 1994 We introduce multilinear operators, that generalize Hirota's bilinear $D$ operator, based on the principle of gauge invariance of the $\tau$ functions.
A. Ramani +15 more
core +1 more source
, 2016 We construct a family of bilinear differential operators which satisfy certain gauge properties. These operators can be naturally associated with $q$-deformations of classical integrable hierarchies. In particular, we consider the case when gauge function $=$ Hurwitz-type partition function.
openaire +2 more sources
The adjoint of a bilinear operation [PDF]
Proceedings of the American Mathematical Society, 1951 is an extension of m. Recall that X, Y, Z are naturally embeddable in X-, Y--, Z-resp. Moreover, certain properties, such as associativity, when m has them, are transmitted to m*** (this makes sense only when Y=Z=X). On the other hand, the transmission of commutativity (which makes sense when Y=X) was left open, and will be considered in this paper ...
openaire +1 more source
Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
Advanced Science, EarlyView.Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu +4 more
wiley +1 more source
Domain‐Aware Implicit Network for Arbitrary‐Scale Remote Sensing Image Super‐Resolution
Advanced Intelligent Discovery, EarlyView.Although existing arbitrary‐scale image super‐resolution methods are flexible to reconstruct images with arbitrary scales, the characteristic of training distribution is neglected that there exists domain shift between samples of various scales. In this work, a Domain‐Aware Implicit Network (DAIN) is proposed to handle it from the perspective of domain
Xiaoxuan Ren +6 more
wiley +1 more source
Journal of Function Spaces, 2017 Let (X,d,μ) be a nonhomogeneous metric measure space. In this paper, the boundedness for commutators generated by bilinear θ-type Calderón-Zygmund operators and RBMO(μ) functions on (X,d,μ) is obtained.
Rulong Xie, Lisheng Shu, Aiwen Sun
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 +3 more
doaj +1 more source
Tau function and Hirota bilinear equations for the Extended bigraded Toda Hierarchy
, 2010 In this paper we generalize the Sato theory to the extended bigraded Toda hierarchy (EBTH). We revise the definition of the Lax equations,give the Sato equations, wave operators, Hirota bilinear identities (HBI) and show the existence of $tau$ function $\
Carlet G. +6 more
core +1 more source
Advanced Intelligent Systems, EarlyView.Feature from recent image foundation models (DINOv2) are useful for vision tasks (segmentation, object localization) with little or no human input. Once upsampled, they can be used for weakly supervised micrograph segmentation, achieving strong results when compared to classical features (blurs, edge detection) across a range of material systems.
Ronan Docherty +2 more
wiley +1 more source
Supersymmetric J T ¯ $$ \overline{T} $$ and T J ¯ $$ \overline{J} $$ deformations
Journal of High Energy Physics, 2020 We explore the J T ¯ $$ \overline{T} $$ and T J ¯ $$ \overline{J} $$ deformations of two-dimensional field theories possessing N $$ \mathcal{N} $$ = (0, 1), (1, 1) and (0, 2) supersymmetry.
Hongliang Jiang +1 more
doaj +1 more source