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We establish an algebra-isomorphism between the complexified Grothendieck ring F of certain bimodule categories over a modular tensor category and the endomorphism algebra of appropriate morphism spaces of those bimodule categories. This…

Category Theory · Mathematics 2009-02-24 Jurgen Fuchs , Ingo Runkel , Christoph Schweigert

Until recently, the question of the effective inductive bias of deep models on tabular data has remained unanswered. This paper investigates the hypothesis that arithmetic feature interaction is necessary for deep tabular learning. To test…

Machine Learning · Computer Science 2024-03-20 Yi Cheng , Renjun Hu , Haochao Ying , Xing Shi , Jian Wu , Wei Lin

Starting from a N=1 scalar supermultiplet in 2+1 dimensions, we demonstrate explicitly the appearance of induced N=1 vector and scalar supermultiplets of composite operators made out of the fundamental supersymmetric constituents. We…

High Energy Physics - Theory · Physics 2008-11-26 Jean Alexandre , Nick E. Mavromatos , Sarben Sarkar

Multi-sensor fusion is essential for accurate 3D object detection in self-driving systems. Camera and LiDAR are the most commonly used sensors, and usually, their fusion happens at the early or late stages of 3D detectors with the help of…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Javed Ahmad , Alessio Del Bue

We propose a framework for fusion category symmetry on the (1+1)D lattice in the infinite-volume limit by giving a formal interpretation of SymTFT decompositions. Our approach is based on axiomatizing physical boundary subalgebra of…

Mathematical Physics · Physics 2026-04-17 David E. Evans , Corey Jones

It is believed that the two-dimensional massless $\mathcal{N}=2$ Wess--Zumino model becomes the $\mathcal{N}=2$ superconformal field theory (SCFT) in the infrared (IR) limit. We examine this theoretical conjecture of the Landau--Ginzburg…

High Energy Physics - Lattice · Physics 2019-12-06 Okuto Morikawa , Hiroshi Suzuki

This paper proposes a fusion-based gender recognition method which uses facial images as input. Firstly, this paper utilizes pre-processing and a landmark detection method in order to find the important landmarks of faces. Thereafter, four…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Benyamin Ghojogh , Saeed Bagheri Shouraki , Hoda Mohammadzade , Ensieh Iranmehr

We show that differential calculus (in its usual form, or in the general form of topological differential calculus) can be fully imdedded into a functor category (functors from a small category of anchord tangent algebras to anchored sets).…

Algebraic Geometry · Mathematics 2021-03-25 Wolfgang Bertram , Jérémy Haut

Multi-modality image fusion aims to integrate the merits of images from different sources and render high-quality fusion images. However, existing feature extraction and fusion methods are either constrained by inherent local reduction bias…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Chenguang Zhu , Shan Gao , Huafeng Chen , Guangqian Guo , Chaowei Wang , Yaoxing Wang , Chen Shu Lei , Quanjiang Fan

This paper presents a multimodal biometric system of fingerprint and ear biometrics. Scale Invariant Feature Transform (SIFT) descriptor based feature sets extracted from fingerprint and ear are fused. The fused set is encoded by K-medoids…

Computer Vision and Pattern Recognition · Computer Science 2010-02-03 Dakshina Ranjan Kisku , Phalguni Gupta , Jamuna Kanta Sing

The paper contains a survey of train constructions for infinite symmetric groups and related groups. For certain pairs (a group $G$, a subgroup $K$), we construct categories, whose morphisms are two-dimensional surfaces tiled by polygons…

Representation Theory · Mathematics 2017-03-28 Yury A. Neretin

We study relations between the eigenvectors of rational matrix functions on the Riemann sphere. Our main result is that for a subclass of functions that are products of two elementary blocks it is possible to represent these relations in a…

Exactly Solvable and Integrable Systems · Physics 2013-02-14 Anton Dzhamay

For a fusion category, we prove some new integral properties concerning the dimension of a simple object that generates a Isaacs fusion subcategory. A stronger divisibility result is proven for any modular fusion category. This divisibility…

Quantum Algebra · Mathematics 2025-07-11 S. Burciu

Visual recognition inside the vehicle cabin leads to safer driving and more intuitive human-vehicle interaction but such systems face substantial obstacles as they need to capture different granularities of driver behaviour while dealing…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Alina Roitberg , Kunyu Peng , Zdravko Marinov , Constantin Seibold , David Schneider , Rainer Stiefelhagen

We construct a topological Landau-Ginzburg formulation of the two-dimensional string at the self-dual radius. The model is an analytic continuation of the $A_{k+1}$ minimal model to $k=-3$. We compute the superpotential and calculate…

High Energy Physics - Theory · Physics 2009-09-29 A. Hanany , Y. Oz , M. R. Plesser

We study interacting massive N=(2,2) supersymmetric field theories in two dimensions which arise from deforming conformal field theories with a continuous spectrum. Firstly, we deform N=2 superconformal Liouville theory with relevant…

High Energy Physics - Theory · Physics 2018-08-15 Songyuan Li , Jan Troost

Integrable multistate or multiflavor/color models were recently introduced. They are generalizations of models corresponding to the defining representations of the U_q(sl(m)) quantum algebras. Here I show that a similar generalization is…

solv-int · Physics 2008-11-26 Z. Maassarani

Fermion mixing is conveniently described using the effective Lagrangian formalism. We apply this approach to study top mixing in models with an infinite tower of Kaluza-Klein fermion excitations. In the Randall-Sundrum background with a…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. del Aguila , J. Santiago

We show that questions concerning the topological B-model on a Calabi-Yau manifold in the Landau-Ginzburg phase can be rephrased in the language of commutative algebra. This yields interesting and very practical methods for analyzing the…

High Energy Physics - Theory · Physics 2007-05-23 Paul S. Aspinwall

Superconformal indices of four-dimensional $\mathcal{N}=1$ gauge theories factorize into holomorphic blocks. We interpret this as a modular property resulting from the combined action of an $SL(3,\mathbb{Z})$ and $SL(2,\mathbb{Z})\ltimes…

High Energy Physics - Theory · Physics 2023-08-22 Vishnu Jejjala , Yang Lei , Sam van Leuven , Wei Li
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