Publications related to Unlocking crowding by ensemble statistics

Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs

Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate functions based on random sampling according to a given probability measure. Recent work has shown that ...

2015

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

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 ...

Idiap2015

MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

Fabio Nobile, Giovanni Migliorati

Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate func- tions based on random sampling according to a given probability measure. Recent work has shown th ...

MATHICSE2014

The Squares of Montchoisy. Notes for a History of the Open Form in Geneva

Elena Cogato Lanza

This paper deals with the ambivalent character of the neighborhood «Squares Montchoisy» built in Geneva between 1929 and 1957. According to visual representations (photographs and drawings) disseminated by the architect Maurice Braillard, the project embod ...

2014

Randomized Extended Kaczmarz For Solving Least Squares

Nikolaos Freris

We present a randomized iterative algorithm that exponentially converges in the mean square to the minimum l(2)-norm least squares solution of a given linear system of equations. The expected number of arithmetic operations required to obtain an estimate o ...

Society for Industrial and Applied Mathematics2013

When crowding of crowding leads to uncrowding

Michael Herzog, Mauro Manassi

In peripheral crowding, target perception can be strongly deteriorated by nearby flankers. What happens if flanker “A” crowds flanker “B” and “B” crowds target “C”? At 9° eccentricity, we determined offset discrimination thresholds for verniers. When the v ...

2012

Diffusion Bias-Compensated RLS Estimation Over Adaptive Networks

Ali H. Sayed

We study the problem of distributed least-squares estimation over ad hoc adaptive networks, where the nodes have a common objective to estimate and track a parameter vector. We consider the case where there is stationary additive colored noise on both the ...

IEEE2011

Least-Squares Minimization Under Constraints

Pascal Fua, Mathieu Salzmann, Raquel Urtasun, Aydin Varol

Unconstrained Least-Squares minimization is a well-studied problem. For example, the Levenberg-Marquardt is extremely effective and numerous implementations are readily available. These algorithms are, however, not designed to perform least-squares minimiz ...

EPFL2010

Generalized linear prediction method in phase-shifting interferometry in the presence of noise

Pramod Rastogi, Abhijit Patil, Rajesh Langoju

The effectiveness of phase-shifting interferometry (PSI) techniques employing piezoelectric device PZT in the estimation of phase depends largely on the accuracy with which the phase shifts are imparted to the device and the noise influencing the measureme ...

Elsevier2007

Unlocking crowding by ensemble statistics

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Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs

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

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

MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

The Squares of Montchoisy. Notes for a History of the Open Form in Geneva

Randomized Extended Kaczmarz For Solving Least Squares

When crowding of crowding leads to uncrowding

Diffusion Bias-Compensated RLS Estimation Over Adaptive Networks

Least-Squares Minimization Under Constraints

Generalized linear prediction method in phase-shifting interferometry in the presence of noise

Randomized Extended Kaczmarz For Solving Least Squares

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

Generalized linear prediction method in phase-shifting interferometry in the presence of noise

When crowding of crowding leads to uncrowding

MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

Diffusion Bias-Compensated RLS Estimation Over Adaptive Networks

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

Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs

Least-Squares Minimization Under Constraints

The Squares of Montchoisy. Notes for a History of the Open Form in Geneva