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15 papers · 1 filter
Characterization Of Left Artinian Algebras Through Pseudo Path Algebras
Fang Li
In this paper, using pseudo path algebras, we generalize Gabriel's Theorem on elementary algebras to left Artinian algebras over a field when it is splitting over its radical,…
O(logT) Projections for Stochastic Optimization of Smooth and Strongly Convex Functions
Lijun Zhang, Tianbao Yang, Rong Jin +1
Traditional algorithms for stochastic optimization require projecting the solution at each iteration into a given domain to ensure its feasibility. When facing complex domains, suc…
Approach to artinian algebras via natural quivers
Fang Li, Zongzhu Lin
Given an Artinian algebra over a field , there are several combinatorial objects associated to . They are the diagram as defined in [DK], the natural quiver d…
Artin-Schelter regular algebras of dimension five with two generators
G. -S. Zhou, D. -M. Lu
We study and classify Artin-Schelter regular algebras of dimension five with two generators under an additional -grading by Hilbert driven Gröbner basis computations.…
Adaptive Minimum BER Reduced-Rank Linear Detection for Massive MIMO Systems
Yunlong Cai, Rodrigo C. de Lamare
In this paper, we propose a novel adaptive reduced-rank strategy for very large multiuser multi-input multi-output (MIMO) systems. The proposed reduced-rank scheme is based on the…
Adaptive Minimum BER Reduced-Rank Interference Suppression Algorithms Based on Joint and Iterative Optimization of Parameters
Yunlong Cai, Rodrigo C. de Lamare
In this letter, we propose a novel adaptive reduced-rank strategy based on joint iterative optimization (JIO) of filters according to the minimization of the bit error rate (BER) c…