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A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

2015

Basic gestalt laws cannot explain uncrowding

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Specific Gestalt principles cannot explain (un)crowding

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation

Rapid Scalable Distributed Power Flow with Open-Source Implementation

Iterative pre-conditioning for expediting the distributed gradient-descent method: The case of linear least-squares problem

Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots

Frequency-Domain Diffusion Adaptation Over Networks

Last iterate convergence of SGD for Least-Squares in the Interpolation regime

Eigendecomposition-Free Training of Deep Networks for Linear Least-Square Problems

Optimal Rates of Sketched-regularized Algorithms for Least-Squares Regression over Hilbert Spaces

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation

Specific Gestalt principles cannot explain (un)crowding

Rapid Scalable Distributed Power Flow with Open-Source Implementation

Last iterate convergence of SGD for Least-Squares in the Interpolation regime

Eigendecomposition-Free Training of Deep Networks for Linear Least-Square Problems

Iterative pre-conditioning for expediting the distributed gradient-descent method: The case of linear least-squares problem

Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots

Frequency-Domain Diffusion Adaptation Over Networks

Optimal Rates of Sketched-regularized Algorithms for Least-Squares Regression over Hilbert Spaces

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations