Publications related to Linear independence

Graph Embedded Nonparametric Mutual Information For Supervised Dimensionality Reduction

In this paper, we propose a novel algorithm for dimensionality reduction that uses as a criterion the mutual information (MI) between the transformed data and their cor- responding class labels. The MI is a powerful criterion that can be used as a proxy to ...

Institute of Electrical and Electronics Engineers2015

Pliable Index Coding

Christina Fragouli, Siddhartha Brahma

We formulate a new variant of the index coding problem, where instead of demanding a specific message, clients are pliable, and are interested in receiving any t messages that they do not have. We term this problem pliable index coding or PICOD(t). We prov ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Modeling consideration for electric vehicles and plug-in electric vehicles in car renewal

Michel Bierlaire, Matthieu Marie Cochon de Lapparent, Anna Fernández Antolín, Maurin Baillif

We propose a behaviorally sound model capable of simulating choice set generation for car renewal. It appears at an upper layer of a choice model of a new car. Our model sheds light on potential latent demand for electric cars. We develop a hierarchical la ...

2015

Sparsistency of $\ell_1$-Regularized $M$-Estimators

Volkan Cevher, Jonathan Mark Scarlett, Yen-Huan Li

We consider the model selection consistency or sparsistency of a broad set of

\ell_1

-regularized

M

-estimators for linear and non-linear statistical models in a unified fashion. For this purpose, we propose the local structured smoothness condition (LSS ...

2015

Kerr coefficients of plasma resonances in Josephson junction chains

We present an experimental and theoretical analysis of the self-and cross-Kerr effect of extended plasma resonances in Josephson junction chains. We calculate the Kerr coefficients by deriving and diagonalizing the Hamiltonian of a linear circuit model for ...

Amer Physical Soc2015

Single-Shot Imaging with Higher-Dimensional Encoding Using Magnetic Field Monitoring and Concomitant Field Correction

Daniel Gallichan

PurposePatLoc (Parallel Imaging Technique using Localized Gradients) accelerates imaging and introduces a resolution variation across the field-of-view. Higher-dimensional encoding employs more spatial encoding magnetic fields (SEMs) than the corresponding ...

Wiley-Blackwell2015

Robust Principal Component Analysis on Graphs

Pierre Vandergheynst, Michael Bronstein, Xavier Bresson, Nauman Shahid, Vasilis Kalofolias

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA solves the first iss ...

2015

Dual compatible splines on nontensor product meshes

Annalisa Buffa, Rafael Vazquez Hernandez

In this paper we introduce the concept of dual compatible (DC) splines on nontensor product meshes, study the properties of this class, and discuss their possible use within the isogeometric framework. We show that DC splines are linear independent and tha ...

Springer, Cham2014

Digital holographic moiré for the direct and simultaneous estimation of strain and slope fields

Pramod Rastogi, Rishikesh Dilip Kulkarni

A novel method is proposed for the direct and simultaneous estimation of multiple phase derivatives corresponding to strain and slope fields from a single moiré fringe pattern in digital holographic moiré. The interference field in a given row/column is a ...

Optical Society of America2014

Direct phase derivative estimation using difference equation modeling in holographic interferometry

Pramod Rastogi, Rishikesh Dilip Kulkarni

A new method is proposed for the direct phase derivative estimation from a single spatial frequency modulated carrier fringe pattern in holographic interferometry. The fringe intensity in a given row/column is modeled as a difference equation of intensity ...

Iop Publishing Ltd2014

Linear independence

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Graph Embedded Nonparametric Mutual Information For Supervised Dimensionality Reduction

Pliable Index Coding

Modeling consideration for electric vehicles and plug-in electric vehicles in car renewal

Sparsistency of $\ell_1$-Regularized $M$-Estimators

Kerr coefficients of plasma resonances in Josephson junction chains

Single-Shot Imaging with Higher-Dimensional Encoding Using Magnetic Field Monitoring and Concomitant Field Correction

Robust Principal Component Analysis on Graphs

Dual compatible splines on nontensor product meshes

Digital holographic moiré for the direct and simultaneous estimation of strain and slope fields

Direct phase derivative estimation using difference equation modeling in holographic interferometry

Graph Embedded Nonparametric Mutual Information For Supervised Dimensionality Reduction

Pliable Index Coding

Sparsistency of $\ell_1$-Regularized $M$-Estimators

Modeling consideration for electric vehicles and plug-in electric vehicles in car renewal

Kerr coefficients of plasma resonances in Josephson junction chains

Dual compatible splines on nontensor product meshes

Direct phase derivative estimation using difference equation modeling in holographic interferometry

Single-Shot Imaging with Higher-Dimensional Encoding Using Magnetic Field Monitoring and Concomitant Field Correction

Robust Principal Component Analysis on Graphs

Digital holographic moiré for the direct and simultaneous estimation of strain and slope fields