Lemma 6.21 and Lasso Problem

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8 Questions

What problem is the (L,S)-compatibility constant the solution of?

Lasso approximation problem

What does Lemma 6.21 not provide explicit lower bounds for?

Compatibility constant

What kind of matrix is Σ1,1 in the context of the text?

Symmetric matrix

What problem does Lemma 6.22 address?

Eigenvalue problem

What is the problem equivalent to minimizing?

bTΣ1,1b+2λkbk1

What is the value of λ based on the given conditions?

-bTΣ1,1b

What can be replaced by its `2-bound √skβSk2?

kβSk1

What is the (L,S,s)-restricted eigenvalue of Σ defined as?

(L,S,s)-restricted eigenvalue of Σ is not defined

Explore the concepts related to Lemma 6.21 and its connection to the Lasso problem. Understand the difficulty in finding the compatibility constant and its relationship with the Lasso approximation.

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