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An Affine Representation for Transversal Geometries

Studies in Applied Mathematics, 1975
Pregeometries (matroids) whose independent sets are the partial matchings of a relation (transversal pregeometries) can be canonically imbedded in a free‐simplicial pregeometry (one whose points lie freely on flats spanned by a simplex). Conversely, all subgeometries of such free‐simplicial pregeometries are transversal.
Tom Brylawski
semanticscholar   +3 more sources

Scale & Affine Invariant Interest Point Detectors

International Journal of Computer Vision, 2004
K. Mikolajczyk, Cordelia Schmid
exaly   +2 more sources

Affine Subspace Robust Low-Rank Self-Representation: From Matrix to Tensor

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023
Low-rank self-representation based subspace learning has confirmed its great effectiveness in a broad range of applications. Nevertheless, existing studies mainly focus on exploring the global linear subspace structure, and cannot commendably handle the ...
Yongqiang Tang, Yuan Xie, Wensheng Zhang
semanticscholar   +1 more source

Q-data and Representation Theory of Untwisted Quantum Affine Algebras

Communications in Mathematical Physics, 2020
For a complex finite-dimensional simple Lie algebra g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Ryo Fujita, Se-jin Oh
semanticscholar   +1 more source

Joint Metric Learning-Based Class-Specific Representation for Image Set Classification

IEEE Transactions on Neural Networks and Learning Systems, 2022
With the rapid advances in digital imaging and communication technologies, recently image set classification has attracted significant attention and has been widely used in many real-world scenarios.
Xizhan Gao   +7 more
semanticscholar   +1 more source

Affine Frequency Division Multiplexing for Next-Generation Wireless Networks

International Symposium on Wireless Communication Systems, 2021
Affine Frequency Division Multiplexing (AFDM) is a new multi-chirp waveform that can be generated and demodulated using the discrete affine Fourier transform (DAFT). DAFT is a generalization of discrete Fourier transform characterized with two parameters
A. Bemani   +3 more
semanticscholar   +1 more source

Affine Transformation-Enhanced Multifactorial Optimization for Heterogeneous Problems

IEEE Transactions on Cybernetics, 2020
Evolutionary multitasking (EMT) is a newly emerging research topic in the community of evolutionary computation, which aims to improve the convergence characteristic across multiple distinct optimization tasks simultaneously by triggering knowledge ...
Xiaoming Xue   +8 more
semanticscholar   +1 more source

Real world pricing and affine representation for forward contracts

, 2010
This paper makes use of an integrated benchmark modeling framework that allows us to derive a term structure for the forward contract under real world probability measure. The benchmark or numeraire is chosen to be the growth optimal portfolio (GOP).
M. Eddahbi, Yassine El Qalli
semanticscholar   +1 more source

Identification and control of non-stationary delayed systems using state-affine representation†

, 1985
The paper describes an extension of state-affine representation (bilinear with polynomial inputs) which leads to a model for non-stationary delayed systems.
D. Thomasset, B. Neyran
semanticscholar   +1 more source

Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation

, 2015
In this paper, we define the two-parameter quantum affine algebra for type G2(1) and give the (r, s)-Drinfeld realization of Ur,s(G2(1)), as well as establish and prove its Drinfeld isomorphism.
Yung Gao, N. Hu, Honglian Zhang
semanticscholar   +1 more source

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