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Affine Connection Representation of Gauge Fields [PDF]

Advances in High Energy Physics, 2022
There are two ways to unify gravitational field and gauge field. One is to represent gravitational field as principal bundle connection, and the other is to represent gauge field as affine connection.
Zhao-Hui Man
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3D Fermion representation of affine Yangian

Nuclear Physics B, 2022
In this paper, we give the 3D (3 dimensional) Fermion representation of affine Yangian of gl(1). In special case h1=1,h2=−1,h3=0, the 3D Fermion operators Γm→ and Γm→⁎ become γm→ and γm→⁎ which have relations with 2D Fermions.
Na Wang, Ke Wu
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Recurrent Affine Transform Encoder for Image Representation [PDF]

IEEE Access, 2022
This paper proposes a Recurrent Affine Transform Encoder (RATE) that can be used for image representation learning. We propose a learning architecture that enables a CNN encoder to learn the affine transform parameter of images.
Letao Liu, Xudong Jiang, Martin Saerbeck, Justin Dauwels   +3 more
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Wallach's ratio principle under affine representation

Results in Applied Mathematics
Motivated by Heller (2014) and supplementing the results found there, the main objective of this paper is to study the near-miss to Wallach's ratio principle and the near-miss to illumination invariance, assuming more general psychophysical representations than in the previous works.
Eszter Gselmann
  +6 more sources

Human-like monocular depth biases in deep neural networks. [PDF]

PLoS Computational Biology
Human depth perception from 2D images is systematically distorted, yet the nature of these distortions is not fully understood. By examining error patterns in depth estimation for both humans and deep neural networks (DNNs), which have shown remarkable ...
Yuki Kubota, Taiki Fukiage
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Affine transform representation for reducing calibration cost on absorption-based LWIR depth sensing [PDF]

Scientific Reports
Multispectral long-wave infrared (LWIR) ranging is a technique that estimates the distance to the object based on wavelength-dependent absorption of LWIR light through the air. Prior works require time-consuming measurements for calibration and solve non-
Takahiro Kushida, Ryutaro Nakamura, Hiroaki Matsuda, Wenhao Chen, Kenichiro Tanaka   +4 more
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On calibrated representations of the degenerate affine Periplectic Brauer algebra [PDF]

Surveys in Mathematics and its Applications, 2021
We initiate the representation theory of the degenerate affine periplectic Brauer algebra on n strands by constructing its finite-dimensional calibrated representations when n=2.
Zajj Daugherty, Iva Halacheva, Mee Seong Im, Emily Norton   +3 more
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Hecke group algebras as degenerate affine Hecke algebras [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
The Hecke group algebra $\operatorname{H} \mathring{W}$ of a finite Coxeter group $\mathring{W}$, as introduced by the first and last author, is obtained from $\mathring{W}$ by gluing appropriately its $0$-Hecke algebra and its group algebra.
Florent Hivert, Anne Schilling, Nicolas M. Thiéry   +2 more
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A new framework for the unification of fundamental physics - Affine connection representation of gauge fields [PDF]

, 2021
Zhao-Hui MAN
  +6 more sources

Maxwell-modified metric affine gravity

European Physical Journal C: Particles and Fields, 2021
We present a gauge formulation of the special affine algebra extended to include an antisymmetric tensorial generator belonging to the tensor representation of the special linear group.
Oktay Cebecioğlu, Salih Kibaroğlu
doaj   +1 more source