Publications related to Ordinary least squares

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

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Matthieu Martin Jean-André Simeoni

The Square Kilometre Array (SKA) will form the largest radio telescope ever built, generating on the order of one terabyte of data per second. To reduce the data flow sent to the central processor, hierarchical designs have been proposed: the data is prima ...

2015

Multitask diffusion LMS with sparsity-based regularization

Ali H. Sayed, Roula Nassif

In this work, a diffusion-type algorithm is proposed to solve multitask estimation problems where each cluster of nodes is interested in estimating its own optimum parameter vector in a distributed manner. The approach relies on minimizing a global mean-sq ...

IEEE2015

A Hardware-in-the-Loop test platform for the performance assessment of a PMU-based Real-Time State Estimator for Active Distribution Networks

Mario Paolone, Paolo Romano, Marco Pignati, Lorenzo Zanni, Styliani Sarri

The paper describes the development of a Hardware- in-the-Loop (HIL) test platform for the performance assessment of a PMU-based sub-second linear Real-Time State Estimator (RTSE) for Active Distribution Networks (ADNs). The estimator relies on the availab ...

IEEE2015

A Geometric View on Constrained M-Estimators

Volkan Cevher, Yen-Huan Li, Ya-Ping Hsieh, Nissim Zerbib

We study the estimation error of constrained M-estimators, and derive explicit upper bounds on the expected estimation error determined by the Gaussian width of the constraint set. Both of the cases where the true parameter is on the boundary of the constr ...

2015

Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization

Ulugbek Kamilov

Generalized Linear Models (GLMs), where a random vector x is observed through a noisy, possibly nonlinear, function of a linear transform z = A x arise in a range of applications in nonlinear filtering and regression. Approximate Message Passing (AMP) meth ...

IEEE2015

Blood flow velocity field estimation via spatial regression with PDE penalization

Fabio Nobile

We propose an innovative method for the accurate estimation of surfaces and spatial fields when prior knowledge of the phenomenon under study is available. The prior knowledge included in the model derives from physics, physiology, or mechanics of the prob ...

American Statistical Association2015

Impact of synchrophasor measurement types and uncertainties on the accuracy of distribution system linear state estimators

Mario Paolone, Lorenzo Zanni, Daniele Colangelo

The paper aims at assessing the effects of combined voltage and/or current synchrophasor measurements, and their associated uncertainties, on the accuracy of state estimators adopted in distribution systems. Such an assessment is first carried out with res ...

IEEE2015

Ordinary least squares

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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

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Multitask diffusion LMS with sparsity-based regularization

A Hardware-in-the-Loop test platform for the performance assessment of a PMU-based Real-Time State Estimator for Active Distribution Networks

A Geometric View on Constrained M-Estimators

Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization

Blood flow velocity field estimation via spatial regression with PDE penalization

Impact of synchrophasor measurement types and uncertainties on the accuracy of distribution system linear state estimators

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

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Impact of synchrophasor measurement types and uncertainties on the accuracy of distribution system linear state estimators

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

Multitask diffusion LMS with sparsity-based regularization

A Hardware-in-the-Loop test platform for the performance assessment of a PMU-based Real-Time State Estimator for Active Distribution Networks

A Geometric View on Constrained M-Estimators

Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization

Blood flow velocity field estimation via spatial regression with PDE penalization