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A Linear PCP is a PCP in which the proof is a vector of elements of a finite field , and such that the PCP oracle is only allowed to do linear operations on the proof. Namely, the response from the oracle to a verifier query q ∈ F n {\displaystyle q\in \mathbb {F} ^{n}} is a linear function f ( q , π ) {\displaystyle f(q,\pi )} .
The 2014 guaranteed algorithm for the robust PCA problem (with the input matrix being = +) is an alternating minimization type algorithm. [12] The computational complexity is () where the input is the superposition of a low-rank (of rank ) and a sparse matrix of dimension and is the desired accuracy of the recovered solution, i.e., ‖ ^ ‖ where is the true low-rank component and ^ is the ...
The PCP theorem states that NP = PCP[O(log n), O(1)],. where PCP[r(n), q(n)] is the class of problems for which a probabilistically checkable proof of a solution can be given, such that the proof can be checked in polynomial time using r(n) bits of randomness and by reading q(n) bits of the proof, correct proofs are always accepted, and incorrect proofs are rejected with probability at least 1/2.
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President-elect Donald Trump plans to launch a mass deportation operation targeting millions of immigrants living in the U.S. illegally and with temporary protections once he takes office on Jan ...
Here's what a tumor on the jaw might mean for your dog, plus the treatment options available. ... 1 dead, 2 missing as Northern California coastline hit by large waves. Weather.
The Posted county price (PCP) is calculated for the so-called loan commodities (except for rice and cotton) for each county by the Farm Service Agency in the United States. The PCP reflects changes in prices in major terminal grain markets (of which there are 18 in the United States), corrected for the cost of transporting grain from the county ...
Pets are big business. Pet owners were expected to spend $150.6 this year, according to the association. In 2018, they spent $91 billion, and, in 2022, it shot up to $137 billion, according to the ...