Update on Overleaf.
parent
74644cf4c1
commit
9f6754399d
|
@ -242,7 +242,7 @@ We adopt the two-step intensional model of query evaluation used in set-\abbrPDB
|
|||
$;
|
||||
(ii) \termStepTwo (\abbrStepTwo): Given $\poly(\vct{X})$ for each tuple, compute a $(1\pm \eps)$-approximation $\expct_{\randWorld\sim\bpd}\pbox{\poly(\vct{\randWorld})}$.
|
||||
Let $\timeOf{\abbrStepOne}(\query,\tupset,\circuit)$ denote the runtime of \abbrStepOne when it outputs $\circuit$ (a representation of $\poly$ as an arithmetic circuit --- more on this representation in~\Cref{sec:expression-trees}).
|
||||
Denote by $\timeOf{\abbrStepTwo}(\circuit, \epsilon)$ (recall $\circuit$ is the output of \abbrStepOne) the runtime of \abbrStepTwo (when $\poly$ is input as $\circuit$). Then to answer if we can compute a $(1\pm \eps)$-approximation to the expected multiplicity
|
||||
Denote by $\timeOf{\abbrStepTwo}(\circuit, \epsilon)$ (recall $\circuit$ is the output of \abbrStepOne) the runtime of \abbrStepTwo (when $\poly$ is input as $\circuit$). Then to answer if we can compute a $(1\pm \eps)$-approximation to the expected multiplicity, it is enough to answer the following:
|
||||
%which we can leverage~\Cref{def:reduced-poly} and~\Cref{lem:tidb-reduce-poly} to address the next formal objective:
|
||||
|
||||
\begin{Problem}[\abbrCTIDB linear time approximation]\label{prob:big-o-joint-steps}
|
||||
|
|
Loading…
Reference in New Issue