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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 )} .
President Trump signs the Paycheck Protection Program and Health Care Enhancement Act (H.R. 266), April 24, 2020. The Paycheck Protection Program (PPP) is a $953-billion business loan program established by the United States federal government during the Trump administration in 2020 through the Coronavirus Aid, Relief, and Economic Security Act (CARES Act) to help certain businesses, self ...
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 ...
In a classification task, the precision for a class is the number of true positives (i.e. the number of items correctly labelled as belonging to the positive class) divided by the total number of elements labelled as belonging to the positive class (i.e. the sum of true positives and false positives, which are items incorrectly labelled as belonging to the class).
[97] [98] [99] Dogs of owners with zero points are confiscated by the government until the owner takes free courses on relevant city rules and passes corresponding exams. [97] [98] [99] Shanghai Police Department intended to establish a point system in 2019 for dog owner offense, which is linked to the owners' overall credit profiles. [100 ...
We can calculate the upper and lower confidence limits of the intervals from the observed data. Suppose a dataset x 1, . . . , x n is given, modeled as realization of random variables X 1, . . . , X n. Let θ be the parameter of interest, and γ a number between 0 and 1. If there exist sample statistics L n = g(X 1, . . . , X n) and U n = h(X 1
Unlike a traditional hire purchase, where the customer repays the total debt in equal monthly instalments over the term of the agreement, a PCP is structured so that the customer pays a lower monthly amount over the contract period (usually somewhere between 24 and 48 months), leaving a final balloon payment to be made at the end of the ...
One of the most important variants of PCP is the bounded Post correspondence problem, which asks if we can find a match using no more than k tiles, including repeated tiles. A brute force search solves the problem in time O(2 k ), but this may be difficult to improve upon, since the problem is NP-complete . [ 7 ]