(i) {α - Convex Optimization

Pros and cons
(P σ ) and (P eq ) have the same computational complexity : 2N iter (V H + V Φ + O (L)).
(P τ ) : 2N iter (V H + V Φ )+O (N iter L log L).
V H and V Φ are the complexities of the operators H (resp. H ∗ ) and Φ (resp.Φ ∗ ).
V H,Φ is O(n) or O(n log n) for most useful transforms/sensing operators.
No tight frames with (Peq) but does not handle noise .
No tight frames with (P τ ) but τ is difficult to choose .
Tight frames with (P σ ) but handles noise and σ is easier to choose .
Stanford seminar 08-23