Added a app for Sec 3 details
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\section{Missing details from Section~\ref{sec:hard}}
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\label{app:hard}
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main.tex
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% APPENDIX
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \clearpage
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% \appendix
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% \normalsize
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\clearpage
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\appendix
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\normalsize
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\input{hardness-app}
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% \input{glossary.tex}
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% \input{addproofappendix.tex}
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\end{document}
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%root:main.tex
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\section{Hardness of exact computation}
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\label{sec:hard}
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We would like to argue for a compressed version of $\poly(\vct{w})$, in general $\expct_{\vct{w}}\pbox{\poly(\vct{w})}$ even for TIDB, cannot be computed in linear time. We will argue two flavors of such a hardness result. In Section~\ref{sec:multiple-p}, we argue that computing the expected value exactly for all query polynommials $\poly(\vct{X})$ for multiple values of $p$ is \sharpwonehard. However, this does not rule out the possibility of being able to solve the problem for a any {\em fixed} value of $p$ being say even in linear time. In Section~\ref{sec:single-p}, we rule out even this possibility (based on some popular hardness conjectures in fine-grained complexity).
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