Singular-value decomposition using quantum annealing

Singular-value decomposition using quantum annealing.

In the present study, we demonstrate how to perform, using quantum annealing, the singular value decomposition and the principal component analysis. Quantum annealing gives a way to find a ground state of a system, while the singular value decomposition requires the maximum eigenstate. The key idea is to transform the sign of the final Hamiltonian, and the maximum eigenstate is obtained by quan...

پیشنهاد روش جدیدی برای محاسبه polynomial singular value decomposition ) psvd )

در این پایان نامه به معرفی روشهای مختلف محاسبه psvd می پردازیم. بخشی از این روشها به بررسی روشهای مختلف محاسبه psvd در مقالات مطالعه شده می پردازد که می توان به محاسبهpsvd با استفاده از الگوریتمهای pqrd و pevd و sbr2 و محاسبه psvd براساس تکنیک kogbetliantz و روش پارامتریک برای محاسبه psvd اشاره نمود. بخش بعدی نیز به بررسی روشهای مستقیم پیشنهادی محاسبه psvd برای ماتریسهای 2×2و2× n و n×2 و 3× n و...

Singular Value Decomposition (SVD) and Generalized Singular Value Decomposition (GSVD)

The singular value decomposition (SVD) is a generalization of the eigen-decomposition which can be used to analyze rectangular matrices (the eigen-decomposition is definedonly for squaredmatrices). By analogy with the eigen-decomposition, which decomposes a matrix into two simple matrices, the main idea of the SVD is to decompose a rectangular matrix into three simple matrices: Two orthogonal m...

Bengali Text Summarization Using Singular Value Decomposition

Tree construction using singular value decomposition

We present a new, statistically consistent algorithm for phylogenetic tree construction that uses the algebraic theory of statistical models (as developed in [5]). Our basic tool is the Singular Value Decomposition (SVD) from numerical linear algebra (see [3]). Starting with a multiple alignment of n species, we show that the SVD allows us to decide whether a split of the species occurs in thei...