We propose an active learning algorithm for linear system identification with optimal centered noise excitation. Notably, our algorithm, based on ordinary least squares and semidefinite programming, attains the minimal sample complexity while allowing for efficient computation of an estimate of a system matrix. More specifically, we first establish lower bounds of the sample complexity for any active learning algorithm to attain the prescribed accuracy and confidence levels. Next, we derive a sample complexity upper bound of the proposed algorithm, which matches the lower bound for any algorithm up to universal factors. Our tight bounds are easy to interpret and explicitly show their dependence on the system parameters such as the state dimension.

Things to Do in L.A. Hollywood director Rob Reiner engineered Proposition 10, a 1998 tobacco tax that created First 5 California, generating more than $11 billion for early childhood programs statewide. This is read by an automated voice. Please report any issues or inconsistencies here . After his tragic death Sunday, the world remembers Rob Reiner as a cinematic force -- and he was one, as an unforgettable presence on the ambitious 1970s sitcom "All in the Family" and later as the director of beloved films. I came to know him differently: as a restless thinker who transformed his own life story into bold public policy, reshaping how California understands and invests in its youngest children.

Things to Do in L.A. Tap to enable a layout that focuses on the article. Rob Reiner used his fame to advocate for progressive causes. This is read by an automated voice. Please report any issues or inconsistencies here . Rob Reiner was a Hollywood legend and also a political force, a frequent voice in progressive causes and a Democratic Party activist.

Things to Do in L.A. Tap to enable a layout that focuses on the article. This is read by an automated voice. Please report any issues or inconsistencies here . Two people were found dead Sunday afternoon at the Brentwood home of director and actor Rob Reiner, multiple law enforcement sources confirmed. Margaret Stewart, a Los Angeles Fire Department spokesman, said the department was called to the home around 3:30 p.m. for medical aid.

The higher-order correlation clustering problem for a graph $G$ and costs associated with cliques of $G$ consists in finding a clustering of $G$ so as to minimize the sum of the costs of those cliques whose nodes all belong to the same cluster. To tackle this NP-hard problem in practice, local search heuristics have been proposed and studied in the context of applications. Here, we establish partial optimality conditions for cubic correlation clustering, i.e., for the special case of at most 3-cliques. We define and implement algorithms for deciding these conditions and examine their effectiveness numerically, on two data sets.