B. Hassibi

activity

20032022

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

90 citations · 470 across the 39 of their papers we have counts for

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Showing math.STShow all

4 papers · 1 filter

math.ST2019★ 9 cited

Universality in Learning from Linear Measurements

Ehsan Abbasi, Fariborz Salehi, Babak Hassibi

We study the problem of recovering a structured signal from independently and identically drawn linear measurements. A convex penalty function $f (\cdot)$ is considered which penali…

math.ST2015★ 90 cited

The LASSO with Non-linear Measurements is Equivalent to One With Linear Measurements

Chrtistos Thrampoulidis, Ehsan Abbasi, Babak Hassibi

Consider estimating an unknown, but structured, signal $x_{0} \in R^{n}$ from $m$ measurement $y_{i} = g_{i} (a_{i}^{T} x_{0})$ , where the $a_{i}$ 's are the rows of a known measurement matrix $A$ , and,…

math.ST2015★ 12 cited

Asymptotically Exact Error Analysis for the Generalized $ℓ_{2}^{2}$ -LASSO

Christos Thrampoulidis, Ashkan Panahi, Babak Hassibi

Given an unknown signal $x_{0} \in R^{n}$ and linear noisy measurements $y = A x_{0} + σ v \in R^{m}$ , the generalized $ℓ_{2}^{2}$ -LASSO…

math.ST2015

Precise Error Analysis of the $ℓ_{2}$ -LASSO

Christos Thrampoulidis, Ashkan Panahi, Daniel Guo +1

A classical problem that arises in numerous signal processing applications asks for the reconstruction of an unknown, $k$ -sparse signal $x_{0} \in R^{n}$ from underdetermined, noisy, li…

Universality in Learning from Linear Measurements

The LASSO with Non-linear Measurements is Equivalent to One With Linear Measurements

Asymptotically Exact Error Analysis for the Generalized ℓ22​-LASSO

Precise Error Analysis of the ℓ2​-LASSO

Asymptotically Exact Error Analysis for the Generalized $ℓ_{2}^{2}$ -LASSO

Precise Error Analysis of the $ℓ_{2}$ -LASSO