Publications related to Total least squares

Fast Initial Continuous Current Pulses vs Return Stroke Pulses in Tower-initiated Lightning

Mario Paolone, Marcos Rubinstein, Mohammad Azadifar, Stefan Metz, Davide Pavanello

We present a study focused on pulses superimposed on the initial continuous current of upward negative discharges. The study is based on experimental data consisting of correlated lightning current waveforms recorded at the instrumented Santis Tower in Swi ...

Amer Geophysical Union2016

Predicting Individual Scores From Resting State fMRI Using Partial Least Squares Regression

Dimitri Nestor Alice Van De Ville, Stephan Morgenthaler, Thomas William Arthur Bolton, Maria Giulia Preti, Djalel Eddine Meskaldji

An important question in neuroscience is to reveal the relationship between individual performance and brain activity. This could be achieved by applying model regression techniques, in which functional connectivity derived from resting-state functional ma ...

Ieee2016

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

From averaging to acceleration, there is only a step-size

Nicolas Henri Bernard Flammarion

We consider the optimization of a quadratic objective function whose gradients are only accessible through a stochastic oracle that returns the gradient at any given point plus a zero-mean finite variance random error. We present the first algorithm that a ...

2015

A Universal Primal-Dual Convex Optimization Framework

Volkan Cevher, Quoc Tran Dinh, Alp Yurtsever

We propose a new primal-dual algorithmic framework for a prototypical con- strained convex optimization template. The algorithmic instances of our frame- work are universal since they can automatically adapt to the unknown Ho ̈lder con- tinuity properties ...

2015

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 functions based on random sampling according to a given probability measure. Recent work has shown that ...

2015

Forecasting Uncertainty in Electricity Demand

Tri Kurniawan Wijaya

Generalized Additive Models (GAM) are a widely popular class of regression models to forecast electricity demand, due to their high accuracy, flexibility and interpretability. However, the residuals of the fitted GAM are typically heteroscedastic and lepto ...

2015

Predicting ambient aerosol thermal–optical reflectance measurements from infrared spectra: elemental carbon

Satoshi Takahama

Elemental carbon (EC) is an important constituent of atmospheric particulate matter because it absorbs solar radiation influencing climate and visibility and it adversely affects human health. The EC measured by thermal methods such as thermal-optical refl ...

Copernicus Gesellschaft Mbh2015

Lidar-Based Relative Position Estimation and Tracking for Multi-Robot Systems

Alcherio Martinoli, José Nuno Ferreira Maia Pereira, Rodrigo Martins de Matos Ventura

Relative positioning systems play a vital role in current multi-robot systems. We present a self-contained detection and tracking approach, where a robot estimates a distance (range) and an angle (bearing) to another robot using measurements extracted from ...

Springer2015

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Fast Initial Continuous Current Pulses vs Return Stroke Pulses in Tower-initiated Lightning

Predicting Individual Scores From Resting State fMRI Using Partial Least Squares Regression

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

From averaging to acceleration, there is only a step-size

A Universal Primal-Dual Convex Optimization Framework

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

Forecasting Uncertainty in Electricity Demand

Predicting ambient aerosol thermal–optical reflectance measurements from infrared spectra: elemental carbon

Lidar-Based Relative Position Estimation and Tracking for Multi-Robot Systems

A Universal Primal-Dual Convex Optimization Framework

From averaging to acceleration, there is only a step-size

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

Predicting ambient aerosol thermal–optical reflectance measurements from infrared spectra: elemental carbon

Lidar-Based Relative Position Estimation and Tracking for Multi-Robot Systems

Predicting Individual Scores From Resting State fMRI Using Partial Least Squares Regression

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

Forecasting Uncertainty in Electricity Demand

Fast Initial Continuous Current Pulses vs Return Stroke Pulses in Tower-initiated Lightning