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20132024
most citedThe LASSO with Non-linear Measurements is Equivalent to One With Linear Measurements

90 citations · 308 across the 22 of their papers we have counts for

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8 papers · 1 filter

cs.IT2018★ 2 cited

The Generalized Lasso for Sub-gaussian Measurements with Dithered Quantization

Christos Thrampoulidis, Ankit Singh Rawat

In the problem of structured signal recovery from high-dimensional linear observations, it is commonly assumed that full-precision measurements are available. Under this assumption…

cs.IT2016★ 1 cited

Phaseless super-resolution in the continuous domain

Myung Cho, Christos Thrampoulidis, Weiyu Xu +1

Phaseless super-resolution refers to the problem of superresolving a signal from only its low-frequency Fourier magnitude measurements. In this paper, we consider the phaseless sup…

cs.IT2016★ 17 cited

Precise Error Analysis of Regularized M-estimators in High-dimensions

Christos Thrampoulidis, Ehsan Abbasi, Babak Hassibi

A popular approach for estimating an unknown signal from noisy, linear measurements is via solving a so called \emph{regularized M-estimator}, which minimizes a weighted combinatio…

cs.IT2015★ 1 cited

BER Analysis of the box relaxation for BPSK Signal Recovery

Christos Thrampoulidis, Ehsan Abbasi, Weiyu Xu +1

We study the problem of recovering an -dimensional vector of (BPSK) signals from noise corrupted measurements . In…

cs.IT2015

Isotropically Random Orthogonal Matrices: Performance of LASSO and Minimum Conic Singular Values

Christos Thrampoulidis, Babak Hassibi

Recently, the precise performance of the Generalized LASSO algorithm for recovering structured signals from compressed noisy measurements, obtained via i.i.d. Gaussian matrices, ha…

cs.IT2014★ 20 cited

The Gaussian min-max theorem in the Presence of Convexity

Christos Thrampoulidis, Samet Oymak, Babak Hassibi

Gaussian comparison theorems are useful tools in probability theory; they are essential ingredients in the classical proofs of many results in empirical processes and extreme value…

cs.IT2013★ 16 cited

Simple Bounds for Noisy Linear Inverse Problems with Exact Side Information

Samet Oymak, Christos Thrampoulidis, Babak Hassibi

This paper considers the linear inverse problem where we wish to estimate a structured signal from its corrupted observations. When the problem is ill-posed, it is natural to m…

cs.IT2013

The Squared-Error of Generalized LASSO: A Precise Analysis

Samet Oymak, Christos Thrampoulidis, Babak Hassibi

We consider the problem of estimating an unknown signal from noisy linear observations . In many practical instances, has a certain structure that…