Publications by Harshit Gupta | EPFL Graph Search

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Michaël Unser, Julien René Pierre Fageot, Harshit Gupta

We present a theoretical analysis and comparison of the effect of

ℓ _{ 1 }

versus

ℓ _{ 2 }

regularization for the resolution of ill-posed linear inverse and/or compressed sensing problems. Our formulation covers the most general setting where the s ...

IEEE2016

Statistical Optimality of Hermite Splines

Michaël Unser, Julien René Pierre Fageot, Virginie Sophie Uhlmann, Harshit Gupta

Hermite splines are commonly used for interpolating data when samples of the derivative are available, in a scheme called Hermite interpolation. Assuming a suitable statistical model, we demonstrate that this method is actually optimal for reconstructing r ...

IEEE2015

Panta Rhei-Everything Flows: Change in hydrology and society-The IAHS Scientific Decade 2013-2022

Bettina Schaefli, Eva Jakab Toth, Harshit Gupta

The new Scientific Decade 2013-2022 of IAHS, entitled Panta RheiEverything Flows, is dedicated to research activities on change in hydrology and society. The purpose of Panta Rhei is to reach an improved interpretation of the processes governing the water ...

Taylor & Francis Ltd2013

Harshit Gupta

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Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Statistical Optimality of Hermite Splines

Panta Rhei-Everything Flows: Change in hydrology and society-The IAHS Scientific Decade 2013-2022

Statistical Optimality of Hermite Splines

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Panta Rhei-Everything Flows: Change in hydrology and society-The IAHS Scientific Decade 2013-2022