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I shall start by reviewing the connection between the wormholes and entanglement in the context of AdS/CFT. I shall then show how the Berry phase, a geometrical phase encoding information about the to...
Due to the limited spatial resolution of remote hyperspectral sensors, pixels are usually highly mixed in the hyperspectral images. Endmember extraction refers to the process identifying the pure endm...
Matrix and tensor factorizations have a long history in machine learning. Being able to recover latent factors in the data and flexible enough to accommodate a large set of constraints and regularizat...
This note is related to Theorem 1 of the ICA-BSS Conference’paper “AR Processes and Sources can be Reconstructed from Degenerate Mixtures” [1]. Here we study further the uniqueness of the decompositio...
We interpret non-negative matrix factorization geometrically, as the problem of finding a simplicial cone which contains a cloud of data points and which is contained in the positive orthant.
Analyzing work functions and the IO variables they need is an important component of designing and evaluating complex systems. We develop a biclustering method for jointly grouping work functions a...
We consider the design of finite impulse response (FIR) filters subject to upper and lower bounds on the frequency response magnitude. The associated optimization problems, with the filter coefficient...
The paper introduces the butterfly factorization as a data-sparse approximation for the matrices that satisfy a complementary low-rank property. The factorization can be constructed efficiently if eit...
This paper introduces the hierarchical interpolative factorization for integral equations (HIF-IE) associated with elliptic problems in two and three dimensions.This factorization takes the form of an...
This paper introduces the hierarchical interpolative factorization for elliptic partial differential equations (HIF-DE) in two (2D) and three dimensions (3D). This factorization takes the form of an a...
We consider general linear systems under feedback. We restrict our attention to non-classical information structures for which the optimal control policies can be found via a convex optimization probl...
We propose a QCD-based model for calculation of the non-perturbative corrections to the factorization approximation in the decays of heavy mesons. In the framework of the model, factorization in pseud...
The factorization property of graviton scattering amplitudes is reviewed and show to be valid only if the "natural" value of the gyromagnetic ratio $g_S=2$ is employed -- independent of spin.
In this paper we study the factorization of the polynomials 1+x^(2^n)over a field K, which have the same form as the Fermat numbers . As we notice that 1+x^(2^n) is equal to the 2^(n+1)th cyclotomic p...
In this paper we study the factorization of the p^(n+1)th cyclotomic polynomials Qp^(n+1)(x) over a field K for prime p>2 and integer n>=0. Our methodology to solve the problem is due to some conclusi...

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