Part of Proceedings, Les Houches School of Physics: Frontiers in Number Theory, Physics and Geometry II: On Conformal Field Theories, Discrete Groups and Renormalization: Les Houches, France, March ...

We introduce a higher dimensional generalization of the affine Kac–Moody algebra using the language of factorization algebras. In particular, on any complex manifold there is a factorization algebra ...

Nakajima and Grojnowski have shown that the cohomology H of Hilb(X) is naturally a representation of the Heisenberg Lie algebra modelled on the cohomology of X, and is isomorphic as a representation ...

Abstract: It is known that the spectral factorization mapping is unbounded in the Wiener algebra, in general. However in applications, the given data are often polynomials. For such finite dimensional ...

A feature engineering algorithm reducing the number of features while retaining the basis information necessary to reconstruct the original data. A matrix V is factorized into (usually) two matrices W ...

Abstract: In his doctoral dissertation in 1797, Gauss proved the fundamental theorem of algebra, which states that any one-dimensional (1-D) polynomial of degree n with complex coefficients can be ...

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Linear algebra functions implemented in Python 3 to solve the full-rank least squares problem by QR factorization with Householder reflections. The full-rank least squares problem is the problem of ...

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ABSTRACT: Hyperspectral unmixing is a powerful tool for the remote sensing image mining. Nonnegative matrix factorization (NMF) has been adopted to deal with this issue, while the precision of ...