(ii) The phase transition curve of LPLS for every value of 0 ≤ p ≤ 1 depends only on the sparsity level and does not change with the distribution of the non- ...

In CS, exploiting the sparsity (or sparse representation) of the desired signals is the key for their reconstruction. There exist a number of recent works ...

Haolei Weng, Le Zheng, Arian Maleki, Xiaodong Wang: Phase transition and noise sensitivity of ℓp-minimization for 0 ≤ p ≤ 1. ISIT 2016: 675-679.

Jun 10, 2016 · In particular, we will present an accurate characterization of the phase transition and noise sensitivity of `p-regularized least squares for ...

Phase transition and noise sensitivity of ℓp-minimization for 0 ≤ p ≤ 1 · The sensitivity of compressed sensing performance to relaxation of sparsity.

Phase transition and noise sensitivity of ℓp-minimization for 0 ≤p ≤1. Haolei Weng, Le Zheng, Arian Maleki, and Xiaodong Wang. In 2016 IEEE International ...

Jul 1, 2016 · In this paper we employ the Replica method¹ from statistical physics to analyze the global minima of LPLS. Our paper reveals several ...

We say that HFP(Ψ) is a stable fixed point if 0≤SC(Ψ) <1. To illustrate this, Figure 6 shows the MSE map and fixed points in three cases. In what follows we ...

Missing: ℓp- | Show results with:ℓp-

Apr 7, 2010 · The phase space 0 ≤ δ, ρ ≤ 1 is partitioned by curve ρ = ρMSE(δ) into two regions. Formal noise sensitivity is bounded throughout the region ρ< ...