We extend the theory of chiral and factorization algebras, developed for curves by Beilinson and Drinfeld in [BD1], to higher-dimensional varieties. This extension entails the development of the homotopy theory of chiral and factorization structures, in a sense analogous to Quillen’s homotopy theory of differential graded Lie algebras. We prove the equivalence of higherdimensional chiral and fa...

In this paper, we propose a novel method for subspace estimation used high resolution method without eigendecomposition where the sample Cross-Spectral Matrix (CSM) is replaced by upper triangular matrix obtained from LU factorization. This novel method decreases the computational complexity. The method relies on a recently published result on Rank-Revealing LU (RRLU) factorization. Simulation ...

We provide further details on performance analysis for our block-wise matrix tri-factorization. In particular, we include analysis of orthogonal matrix tri-factorization that is discussed in our manuscript but whose results, due to conceptual similarity with non-orthogonal factorization were not included in there. We also present the impact of communication overhead on both non-orthogonal and o...