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Free Field Representation of Quantum Affine Algebra U_q(\hat{sl}_2) [PDF]
, 1992 A Fock representation of the quantum affine algebra $U_q(\widehat{\sl}_2)$ is constructed by three bosonic fields for an arbitrary level with the help of the Drinfeld realization.Comment: 11 ...
Andrews +27 more
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Human-like monocular depth biases in deep neural networks. [PDF]
PLoS Computational BiologyHuman 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 ReportsMultispectral 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 +4 more
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Recurrent Affine Transform Encoder for Image Representation
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 +3 more
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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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Affine Connection Representation of Gauge Fields
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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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 +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 +2 more
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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
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Ruang Fase Tereduksi Grup Lie Aff (1)
Jambura Journal of Mathematics, 2021 ABSTRAK Dalam artikel ini dipelajari ruang fase tereduksi dari suatu grup Lie khususnya untuk grup Lie affine berdimensi 2. Tujuannya adalah untuk mengidentifikasi ruang fase tereduksi dari melalui orbit coadjoint buka di titik tertentu pada ruang ...
Edi Kurniadi
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